News and updates, July 2007

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News and updates, July 2007	2007-08-02(Thu) 02:11

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News and updates, July 2007

Jul 31, 2007 (3rd): By Robert Backstrom / Msieve v. 1.25
7·10¹²²+3 = 7(0)₁₂₁3_<123> = 17³ · 37 · 34057 · 121139 · 447641 · 1966357949_<10> · C94
C94 = P41 · P53
P41 = 36803587049889567164794261972333592412847_<41>
P53 = 28812211472214508546521155757658327809127986705923647_<53>

Tue Jul 31 22:22:05 2007 Tue Jul 31 22:22:05 2007 Tue Jul 31 22:22:05 2007 Msieve v. 1.25 Tue Jul 31 22:22:05 2007 random seeds: 2df35130 45e71b74 Tue Jul 31 22:22:05 2007 factoring 1060392733017473507363436391125662056426006504379915175604094685956234092303916292830483893009 (94 digits) Tue Jul 31 22:22:05 2007 commencing quadratic sieve (93-digit input) Tue Jul 31 22:22:05 2007 using multiplier of 1 Tue Jul 31 22:22:05 2007 using 64kb Opteron sieve core Tue Jul 31 22:22:05 2007 sieve interval: 18 blocks of size 65536 Tue Jul 31 22:22:05 2007 processing polynomials in batches of 6 Tue Jul 31 22:22:05 2007 using a sieve bound of 1986401 (74118 primes) Tue Jul 31 22:22:05 2007 using large prime bound of 256245729 (27 bits) Tue Jul 31 22:22:05 2007 using double large prime bound of 1366412668937199 (42-51 bits) Tue Jul 31 22:22:05 2007 using trial factoring cutoff of 51 bits Tue Jul 31 22:22:05 2007 polynomial 'A' values have 12 factors Wed Aug 01 00:39:21 2007 74518 relations (18810 full + 55708 combined from 1024843 partial), need 74214 Wed Aug 01 00:39:22 2007 begin with 1043653 relations Wed Aug 01 00:39:23 2007 reduce to 190550 relations in 13 passes Wed Aug 01 00:39:23 2007 attempting to read 190550 relations Wed Aug 01 00:39:26 2007 recovered 190550 relations Wed Aug 01 00:39:26 2007 recovered 169642 polynomials Wed Aug 01 00:39:26 2007 attempting to build 74518 cycles Wed Aug 01 00:39:26 2007 found 74518 cycles in 5 passes Wed Aug 01 00:39:27 2007 distribution of cycle lengths: Wed Aug 01 00:39:27 2007 length 1 : 18810 Wed Aug 01 00:39:27 2007 length 2 : 13413 Wed Aug 01 00:39:27 2007 length 3 : 12787 Wed Aug 01 00:39:27 2007 length 4 : 10167 Wed Aug 01 00:39:27 2007 length 5 : 7362 Wed Aug 01 00:39:27 2007 length 6 : 4755 Wed Aug 01 00:39:27 2007 length 7 : 3092 Wed Aug 01 00:39:27 2007 length 9+: 4132 Wed Aug 01 00:39:27 2007 largest cycle: 20 relations Wed Aug 01 00:39:27 2007 matrix is 74118 x 74518 with weight 4440747 (avg 59.59/col) Wed Aug 01 00:39:28 2007 filtering completed in 3 passes Wed Aug 01 00:39:28 2007 matrix is 70053 x 70117 with weight 4190795 (avg 59.77/col) Wed Aug 01 00:39:29 2007 saving the first 48 matrix rows for later Wed Aug 01 00:39:29 2007 matrix is 70005 x 70117 with weight 3152619 (avg 44.96/col) Wed Aug 01 00:39:29 2007 matrix includes 64 packed rows Wed Aug 01 00:39:29 2007 using block size 21845 for processor cache size 512 kB Wed Aug 01 00:39:29 2007 commencing Lanczos iteration Wed Aug 01 00:40:15 2007 lanczos halted after 1108 iterations Wed Aug 01 00:40:15 2007 recovered 16 nontrivial dependencies Wed Aug 01 00:40:16 2007 prp41 factor: 36803587049889567164794261972333592412847 Wed Aug 01 00:40:16 2007 prp53 factor: 28812211472214508546521155757658327809127986705923647 Wed Aug 01 00:40:16 2007 elapsed time 02:18:11 AMD 64 3400+
Jul 31, 2007 (2nd): By Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve v. 1.25
(2·10¹⁶⁴-17)/3 = (6)₁₆₃1_<164> = 29 · 107 · 210109 · C156
C156 = P45 · P54 · P58
P45 = 146792919660212633045160717534069008610074051_<45>
P54 = 135010317731924137634438672025990319457714916359755721_<54>
P58 = 5159531184859186656457275600237553641883637652588888601333_<58>

Number: n N=102254471776071177570846050856197117511781240018413760317596990300367300976872093287863039783787909447720167299911482751852977440673142905577002399944662743 ( 156 digits) SNFS difficulty: 165 digits. Divisors found: r1=146792919660212633045160717534069008610074051 (pp45) r2=135010317731924137634438672025990319457714916359755721 (pp54) r3=5159531184859186656457275600237553641883637652588888601333 (pp58) Version: GGNFS-0.77.1-20051202-athlon Total time: 50.11 hours. Scaled time: 72.91 units (timescale=1.455). Factorization parameters were as follows: name: KA_6_163_1 n: 102254471776071177570846050856197117511781240018413760317596990300367300976872093287863039783787909447720167299911482751852977440673142905577002399944662743 skew: 2.43 deg: 5 c5: 1 c0: -85 m: 1000000000000000000000000000000000 type: snfs rlim: 3500000 alim: 3500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 2300001) Primes: RFBsize:250150, AFBsize:250371, largePrimes:7491975 encountered Relations: rels:7069787, finalFF:615528 Max relations in full relation-set: 28 Initial matrix: 500585 x 615528 with sparse part having weight 43347706. Pruned matrix : 408266 x 410832 with weight 26760517. Total sieving time: 44.47 hours. Total relation processing time: 0.22 hours. Matrix solve time: 4.99 hours. Total square root time: 0.43 hours, sqrts: 6. Prototype def-par.txt line would be: snfs,165,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000 total time: 50.11 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+
7·10¹³⁶+3 = 7(0)₁₃₅3_<137> = C137
C137 = P33 · P43 · P63
P33 = 189532579450789969799143826592293_<33>
P43 = 2381835865531583487969941738318774107993447_<43>
P63 = 155060912820934332646084226028944988675098343203271382941181793_<63>

Number: n N=70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003 ( 137 digits) SNFS difficulty: 136 digits. Divisors found: r1=189532579450789969799143826592293 (pp33) r2=2381835865531583487969941738318774107993447 (pp43) r3=155060912820934332646084226028944988675098343203271382941181793 (pp63) Version: GGNFS-0.77.1-20051202-athlon Total time: 5.52 hours. Scaled time: 8.03 units (timescale=1.455). Factorization parameters were as follows: name: KA_7_0_135_3 n: 70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003 skew: 0.53 deg: 5 c5: 70 c0: 3 m: 1000000000000000000000000000 type: snfs rlim: 1000000 alim: 1000000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 1000000/1000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 900001) Primes: RFBsize:78498, AFBsize:78021, largePrimes:6514103 encountered Relations: rels:5824178, finalFF:190944 Max relations in full relation-set: 28 Initial matrix: 156586 x 190944 with sparse part having weight 19426214. Pruned matrix : 147516 x 148362 with weight 12985709. Total sieving time: 4.77 hours. Total relation processing time: 0.15 hours. Matrix solve time: 0.53 hours. Total square root time: 0.07 hours, sqrts: 2. Prototype def-par.txt line would be: snfs,136,5,0,0,0,0,0,0,0,0,1000000,1000000,28,28,48,48,2.5,2.5,75000 total time: 5.52 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+
7·10¹¹⁷+3 = 7(0)₁₁₆3_<118> = 31 · C117
C117 = P54 · P63
P54 = 796610382478821640289686993942482559318724926882166707_<54>
P63 = 283459086875391589955150402968360965955345854041338678737403759_<63>

Number: n N=225806451612903225806451612903225806451612903225806451612903225806451612903225806451612903225806451612903225806451613 ( 117 digits) SNFS difficulty: 117 digits. Divisors found: r1=796610382478821640289686993942482559318724926882166707 (pp54) r2=283459086875391589955150402968360965955345854041338678737403759 (pp63) Version: GGNFS-0.77.1-20051202-athlon Total time: 1.23 hours. Scaled time: 1.78 units (timescale=1.451). Factorization parameters were as follows: name: KA_7_0_116_3 n: 225806451612903225806451612903225806451612903225806451612903225806451612903225806451612903225806451612903225806451613 skew: 0.34 deg: 5 c5: 700 c0: 3 m: 100000000000000000000000 type: snfs rlim: 600000 alim: 600000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 600000/600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 200001) Primes: RFBsize:49098, AFBsize:48976, largePrimes:3849937 encountered Relations: rels:3225255, finalFF:131768 Max relations in full relation-set: 28 Initial matrix: 98141 x 131768 with sparse part having weight 8495908. Pruned matrix : 84202 x 84756 with weight 3752118. Total sieving time: 1.07 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.05 hours. Total square root time: 0.04 hours, sqrts: 3. Prototype def-par.txt line would be: snfs,117,5,0,0,0,0,0,0,0,0,600000,600000,28,28,48,48,2.5,2.5,50000 total time: 1.23 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+
7·10¹³¹+3 = 7(0)₁₃₀3_<132> = 37 · 167 · 821 · 86381 · 8277265193_<10> · 1909043502241_<13> · 11221997190059_<14> · C85
C85 = P42 · P44
P42 = 245476063044641766698278446037400797293497_<42>
P44 = 36697498431299323192437388994595232599875443_<44>

Tue Jul 31 18:27:11 2007 Tue Jul 31 18:27:11 2007 Tue Jul 31 18:27:11 2007 Msieve v. 1.25 Tue Jul 31 18:27:11 2007 random seeds: 51a0e488 172d0ce2 Tue Jul 31 18:27:11 2007 factoring 9008357438502274995224625264375573726008762745952381754409588880984018651293713894171 (85 digits) Tue Jul 31 18:27:11 2007 commencing quadratic sieve (85-digit input) Tue Jul 31 18:27:11 2007 using multiplier of 59 Tue Jul 31 18:27:11 2007 using 64kb Opteron sieve core Tue Jul 31 18:27:11 2007 sieve interval: 6 blocks of size 65536 Tue Jul 31 18:27:11 2007 processing polynomials in batches of 17 Tue Jul 31 18:27:11 2007 using a sieve bound of 1442509 (54972 primes) Tue Jul 31 18:27:11 2007 using large prime bound of 115400720 (26 bits) Tue Jul 31 18:27:11 2007 using double large prime bound of 325068826146400 (41-49 bits) Tue Jul 31 18:27:11 2007 using trial factoring cutoff of 49 bits Tue Jul 31 18:27:11 2007 polynomial 'A' values have 11 factors Tue Jul 31 18:57:24 2007 55354 relations (16849 full + 38505 combined from 558450 partial), need 55068 Tue Jul 31 18:57:25 2007 begin with 575299 relations Tue Jul 31 18:57:25 2007 reduce to 126894 relations in 9 passes Tue Jul 31 18:57:25 2007 attempting to read 126894 relations Tue Jul 31 18:57:27 2007 recovered 126894 relations Tue Jul 31 18:57:27 2007 recovered 104607 polynomials Tue Jul 31 18:57:27 2007 attempting to build 55354 cycles Tue Jul 31 18:57:27 2007 found 55354 cycles in 5 passes Tue Jul 31 18:57:27 2007 distribution of cycle lengths: Tue Jul 31 18:57:27 2007 length 1 : 16849 Tue Jul 31 18:57:27 2007 length 2 : 11673 Tue Jul 31 18:57:27 2007 length 3 : 9808 Tue Jul 31 18:57:27 2007 length 4 : 6856 Tue Jul 31 18:57:27 2007 length 5 : 4419 Tue Jul 31 18:57:27 2007 length 6 : 2741 Tue Jul 31 18:57:27 2007 length 7 : 1489 Tue Jul 31 18:57:27 2007 length 9+: 1519 Tue Jul 31 18:57:27 2007 largest cycle: 18 relations Tue Jul 31 18:57:28 2007 matrix is 54972 x 55354 with weight 2949435 (avg 53.28/col) Tue Jul 31 18:57:28 2007 filtering completed in 3 passes Tue Jul 31 18:57:28 2007 matrix is 49563 x 49627 with weight 2651538 (avg 53.43/col) Tue Jul 31 18:57:29 2007 saving the first 48 matrix rows for later Tue Jul 31 18:57:29 2007 matrix is 49515 x 49627 with weight 2025706 (avg 40.82/col) Tue Jul 31 18:57:29 2007 matrix includes 64 packed rows Tue Jul 31 18:57:29 2007 commencing Lanczos iteration Tue Jul 31 18:58:45 2007 lanczos halted after 785 iterations Tue Jul 31 18:58:46 2007 recovered 12 nontrivial dependencies Tue Jul 31 18:58:46 2007 prp42 factor: 245476063044641766698278446037400797293497 Tue Jul 31 18:58:46 2007 prp44 factor: 36697498431299323192437388994595232599875443 Tue Jul 31 18:58:46 2007 elapsed time 00:31:35 AMD 64 3400+
7·10¹³³+3 = 7(0)₁₃₂3_<134> = 29 · 59 · 1741 · 19286399236854181_<17> · 46083256114156603252213_<23> · C89
C89 = P40 · P49
P40 = 8783383808652802647890907770843019907393_<40>
P49 = 3010184316154118713322706068056130317359871964857_<49>

Tue Jul 31 19:07:15 2007 Tue Jul 31 19:07:15 2007 Tue Jul 31 19:07:15 2007 Msieve v. 1.25 Tue Jul 31 19:07:15 2007 random seeds: d5724f40 7200004e Tue Jul 31 19:07:15 2007 factoring 26439604183568695431333540511848343933708312285905784586381054531841927202958085090487801 (89 digits) Tue Jul 31 19:07:15 2007 commencing quadratic sieve (89-digit input) Tue Jul 31 19:07:15 2007 using multiplier of 1 Tue Jul 31 19:07:15 2007 using 64kb Opteron sieve core Tue Jul 31 19:07:15 2007 sieve interval: 15 blocks of size 65536 Tue Jul 31 19:07:15 2007 processing polynomials in batches of 7 Tue Jul 31 19:07:15 2007 using a sieve bound of 1544831 (58667 primes) Tue Jul 31 19:07:15 2007 using large prime bound of 123586480 (26 bits) Tue Jul 31 19:07:15 2007 using double large prime bound of 367745783685200 (42-49 bits) Tue Jul 31 19:07:15 2007 using trial factoring cutoff of 49 bits Tue Jul 31 19:07:15 2007 polynomial 'A' values have 11 factors Tue Jul 31 19:50:38 2007 58799 relations (16800 full + 41999 combined from 610095 partial), need 58763 Tue Jul 31 19:50:38 2007 begin with 626895 relations Tue Jul 31 19:50:39 2007 reduce to 139283 relations in 10 passes Tue Jul 31 19:50:39 2007 attempting to read 139283 relations Tue Jul 31 19:50:40 2007 recovered 139283 relations Tue Jul 31 19:50:40 2007 recovered 109037 polynomials Tue Jul 31 19:50:40 2007 attempting to build 58799 cycles Tue Jul 31 19:50:41 2007 found 58799 cycles in 5 passes Tue Jul 31 19:50:41 2007 distribution of cycle lengths: Tue Jul 31 19:50:41 2007 length 1 : 16800 Tue Jul 31 19:50:41 2007 length 2 : 11719 Tue Jul 31 19:50:41 2007 length 3 : 10451 Tue Jul 31 19:50:41 2007 length 4 : 7497 Tue Jul 31 19:50:41 2007 length 5 : 5180 Tue Jul 31 19:50:41 2007 length 6 : 3241 Tue Jul 31 19:50:41 2007 length 7 : 1863 Tue Jul 31 19:50:41 2007 length 9+: 2048 Tue Jul 31 19:50:41 2007 largest cycle: 18 relations Tue Jul 31 19:50:41 2007 matrix is 58667 x 58799 with weight 3374117 (avg 57.38/col) Tue Jul 31 19:50:42 2007 filtering completed in 3 passes Tue Jul 31 19:50:42 2007 matrix is 53856 x 53920 with weight 3132205 (avg 58.09/col) Tue Jul 31 19:50:43 2007 saving the first 48 matrix rows for later Tue Jul 31 19:50:43 2007 matrix is 53808 x 53920 with weight 2508505 (avg 46.52/col) Tue Jul 31 19:50:43 2007 matrix includes 64 packed rows Tue Jul 31 19:50:43 2007 using block size 21568 for processor cache size 512 kB Tue Jul 31 19:50:43 2007 commencing Lanczos iteration Tue Jul 31 19:51:11 2007 lanczos halted after 852 iterations Tue Jul 31 19:51:11 2007 recovered 17 nontrivial dependencies Tue Jul 31 19:51:11 2007 prp40 factor: 8783383808652802647890907770843019907393 Tue Jul 31 19:51:11 2007 prp49 factor: 3010184316154118713322706068056130317359871964857 Tue Jul 31 19:51:11 2007 elapsed time 00:43:56 AMD 64 3400+
7·10¹⁰⁹+3 = 7(0)₁₀₈3_<110> = 61 · 283 · 6833 · 3752738047_<10> · C93
C93 = P35 · P58
P35 = 94998794192060872628935849323365693_<35>
P58 = 1664577444559100089652031980780871295487207378438987754367_<58>

Tue Jul 31 20:06:20 2007 Tue Jul 31 20:06:20 2007 Tue Jul 31 20:06:20 2007 Msieve v. 1.25 Tue Jul 31 20:06:20 2007 random seeds: 58a7aa10 e5a73f18 Tue Jul 31 20:06:20 2007 factoring 158132850072416566802699765435756674614463053664908574703804989105665472581049135992398731331 (93 digits) Tue Jul 31 20:06:20 2007 commencing quadratic sieve (92-digit input) Tue Jul 31 20:06:20 2007 using multiplier of 5 Tue Jul 31 20:06:20 2007 using 64kb Opteron sieve core Tue Jul 31 20:06:20 2007 sieve interval: 18 blocks of size 65536 Tue Jul 31 20:06:20 2007 processing polynomials in batches of 6 Tue Jul 31 20:06:20 2007 using a sieve bound of 1885601 (70588 primes) Tue Jul 31 20:06:20 2007 using large prime bound of 220615317 (27 bits) Tue Jul 31 20:06:20 2007 using double large prime bound of 1043624286913572 (42-50 bits) Tue Jul 31 20:06:20 2007 using trial factoring cutoff of 50 bits Tue Jul 31 20:06:20 2007 polynomial 'A' values have 12 factors Tue Jul 31 22:12:14 2007 71029 relations (18147 full + 52882 combined from 923968 partial), need 70684 Tue Jul 31 22:12:15 2007 begin with 942115 relations Tue Jul 31 22:12:16 2007 reduce to 179413 relations in 13 passes Tue Jul 31 22:12:16 2007 attempting to read 179413 relations Tue Jul 31 22:12:18 2007 recovered 179413 relations Tue Jul 31 22:12:18 2007 recovered 159146 polynomials Tue Jul 31 22:12:18 2007 attempting to build 71029 cycles Tue Jul 31 22:12:18 2007 found 71029 cycles in 5 passes Tue Jul 31 22:12:19 2007 distribution of cycle lengths: Tue Jul 31 22:12:19 2007 length 1 : 18147 Tue Jul 31 22:12:19 2007 length 2 : 13037 Tue Jul 31 22:12:19 2007 length 3 : 12364 Tue Jul 31 22:12:19 2007 length 4 : 9648 Tue Jul 31 22:12:19 2007 length 5 : 7028 Tue Jul 31 22:12:19 2007 length 6 : 4488 Tue Jul 31 22:12:19 2007 length 7 : 2773 Tue Jul 31 22:12:19 2007 length 9+: 3544 Tue Jul 31 22:12:19 2007 largest cycle: 18 relations Tue Jul 31 22:12:19 2007 matrix is 70588 x 71029 with weight 4271043 (avg 60.13/col) Tue Jul 31 22:12:20 2007 filtering completed in 3 passes Tue Jul 31 22:12:20 2007 matrix is 66489 x 66553 with weight 4008580 (avg 60.23/col) Tue Jul 31 22:12:21 2007 saving the first 48 matrix rows for later Tue Jul 31 22:12:21 2007 matrix is 66441 x 66553 with weight 3003773 (avg 45.13/col) Tue Jul 31 22:12:21 2007 matrix includes 64 packed rows Tue Jul 31 22:12:21 2007 using block size 21845 for processor cache size 512 kB Tue Jul 31 22:12:21 2007 commencing Lanczos iteration Tue Jul 31 22:13:01 2007 lanczos halted after 1053 iterations Tue Jul 31 22:13:02 2007 recovered 19 nontrivial dependencies Tue Jul 31 22:13:02 2007 prp35 factor: 94998794192060872628935849323365693 Tue Jul 31 22:13:02 2007 prp58 factor: 1664577444559100089652031980780871295487207378438987754367 Tue Jul 31 22:13:02 2007 elapsed time 02:06:42 AMD 64 3400+
Jul 31, 2007: By Sinkiti Sibata / Msieve v. 1.23
7·10¹¹⁵+3 = 7(0)₁₁₄3_<116> = 71 · 571 · 1753 · 41759 · 101687624751179_<15> · C90
C90 = P45 · P46
P45 = 229383234010881253145836095413674027664523319_<45>
P46 = 1011211039809810274754617373533701326457880829_<46>

Tue Jul 31 07:34:45 2007 Msieve v. 1.23 Tue Jul 31 07:34:45 2007 random seeds: f6cd87d8 a53fdc24 Tue Jul 31 07:34:45 2007 factoring 231954858579080269057677376740414939630659505325131391785225954643473927231021865193551451 (90 digits) Tue Jul 31 07:34:46 2007 commencing quadratic sieve (89-digit input) Tue Jul 31 07:34:46 2007 using multiplier of 11 Tue Jul 31 07:34:46 2007 using 64kb Pentium 2 sieve core Tue Jul 31 07:34:46 2007 sieve interval: 18 blocks of size 65536 Tue Jul 31 07:34:46 2007 processing polynomials in batches of 6 Tue Jul 31 07:34:46 2007 using a sieve bound of 1575269 (59601 primes) Tue Jul 31 07:34:46 2007 using large prime bound of 126021520 (26 bits) Tue Jul 31 07:34:46 2007 using double large prime bound of 380890718607520 (42-49 bits) Tue Jul 31 07:34:46 2007 using trial factoring cutoff of 49 bits Tue Jul 31 07:34:46 2007 polynomial 'A' values have 12 factors Tue Jul 31 17:16:16 2007 59785 relations (16189 full + 43596 combined from 628261 partial), need 59697 Tue Jul 31 17:16:20 2007 begin with 644450 relations Tue Jul 31 17:16:21 2007 reduce to 144357 relations in 9 passes Tue Jul 31 17:16:21 2007 attempting to read 144357 relations Tue Jul 31 17:16:29 2007 recovered 144357 relations Tue Jul 31 17:16:29 2007 recovered 122313 polynomials Tue Jul 31 17:16:29 2007 attempting to build 59785 cycles Tue Jul 31 17:16:30 2007 found 59785 cycles in 6 passes Tue Jul 31 17:16:34 2007 distribution of cycle lengths: Tue Jul 31 17:16:34 2007 length 1 : 16189 Tue Jul 31 17:16:34 2007 length 2 : 11643 Tue Jul 31 17:16:34 2007 length 3 : 10503 Tue Jul 31 17:16:34 2007 length 4 : 7913 Tue Jul 31 17:16:34 2007 length 5 : 5683 Tue Jul 31 17:16:34 2007 length 6 : 3388 Tue Jul 31 17:16:34 2007 length 7 : 2104 Tue Jul 31 17:16:34 2007 length 9+: 2362 Tue Jul 31 17:16:34 2007 largest cycle: 22 relations Tue Jul 31 17:16:35 2007 matrix is 59601 x 59785 with weight 3535144 (avg 59.13/col) Tue Jul 31 17:16:41 2007 filtering completed in 3 passes Tue Jul 31 17:16:41 2007 matrix is 55625 x 55687 with weight 3317745 (avg 59.58/col) Tue Jul 31 17:16:43 2007 saving the first 48 matrix rows for later Tue Jul 31 17:16:43 2007 matrix is 55577 x 55687 with weight 2590949 (avg 46.53/col) Tue Jul 31 17:16:43 2007 matrix includes 64 packed rows Tue Jul 31 17:16:43 2007 using block size 5461 for processor cache size 128 kB Tue Jul 31 17:16:44 2007 commencing Lanczos iteration Tue Jul 31 17:19:46 2007 lanczos halted after 879 iterations Tue Jul 31 17:19:47 2007 recovered 16 nontrivial dependencies Tue Jul 31 17:19:50 2007 prp45 factor: 229383234010881253145836095413674027664523319 Tue Jul 31 17:19:50 2007 prp46 factor: 1011211039809810274754617373533701326457880829 Tue Jul 31 17:19:50 2007 elapsed time 09:45:05
Jul 30, 2007 (2nd): The factor table of 700...003 was extended to n=200. Those composite numbers had been tested 430 times by GMP-ECM B1=250000. So, unknown prime factors of them are probably greater than 10³⁰.
Jul 30, 2007: By Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp
(7·10¹⁶³-1)/3 = 2(3)₁₆₃_<164> = 31 · 26480968333_<11> · C152
C152 = P73 · P79
P73 = 6005499498342026296996247513568027884866123915015309416115316591128827611_<73>
P79 = 4732951939505968237884782724690167133167712747934122360855348805147547921808661_<79>

Number: n N=28423740498380012646351441222833046018885664846683919488791556370619977774011134692143246359762495624861587748954770936198932245142948442069275595738871 ( 152 digits) SNFS difficulty: 163 digits. Divisors found: r1=6005499498342026296996247513568027884866123915015309416115316591128827611 (pp73) r2=4732951939505968237884782724690167133167712747934122360855348805147547921808661 (pp79) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 62.00 hours. Scaled time: 84.63 units (timescale=1.365). Factorization parameters were as follows: name: KA_2_3_163 n: 28423740498380012646351441222833046018885664846683919488791556370619977774011134692143246359762495624861587748954770936198932245142948442069275595738871 skew: 0.17 deg: 5 c5: 7000 c0: -1 m: 100000000000000000000000000000000 type: snfs rlim: 3500000 alim: 3500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 2600001) Primes: RFBsize:250150, AFBsize:250186, largePrimes:7515166 encountered Relations: rels:7038514, finalFF:567391 Max relations in full relation-set: 28 Initial matrix: 500403 x 567391 with sparse part having weight 42599784. Pruned matrix : 449316 x 451882 with weight 30245743. Total sieving time: 56.37 hours. Total relation processing time: 0.29 hours. Matrix solve time: 5.04 hours. Total square root time: 0.30 hours, sqrts: 2. Prototype def-par.txt line would be: snfs,163,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000 total time: 62.00 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+
Jul 29, 2007 (2nd): By Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona
(2·10¹⁶⁰+1)/3 = (6)₁₅₉7_<160> = 227 · 419 · 1458595001_<10> · 16026242851179144358700459_<26> · C121
C121 = P48 · P74
P48 = 161463735175025949280548404486238854502944749577_<48>
P74 = 18570663712910018221335055151517350281831147548443709556829543800274598713_<74>

Number: 66667_160 N=2998488727765767306056724256898840427400661293190185342767414314752818203241712663724341297601486372223255855543951494401 ( 121 digits) SNFS difficulty: 160 digits. Divisors found: r1=161463735175025949280548404486238854502944749577 (pp48) r2=18570663712910018221335055151517350281831147548443709556829543800274598713 (pp74) Version: GGNFS-0.77.1-20050930-nocona Total time: 25.89 hours. Scaled time: 55.06 units (timescale=2.127). Factorization parameters were as follows: n: 2998488727765767306056724256898840427400661293190185342767414314752818203241712663724341297601486372223255855543951494401 m: 100000000000000000000000000000000 c5: 2 c0: 1 skew: 0.87 type: snfs Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2000000, 3500001) Primes: RFBsize:283146, AFBsize:282707, largePrimes:5745066 encountered Relations: rels:5888263, finalFF:750273 Max relations in full relation-set: 28 Initial matrix: 565918 x 750273 with sparse part having weight 47378726. Pruned matrix : 416316 x 419209 with weight 29586910. Total sieving time: 24.83 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.93 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000 total time: 25.89 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129) Total of 4 processors activated (19246.12 BogoMIPS).
(83·10¹⁵⁸+61)/9 = 9(2)₁₅₇9_<159> = 117545651888135840815842818880953169751_<39> · C121
C121 = P53 · P69
P53 = 19948874429255659337544510594592376405101429806260627_<53>
P69 = 393287929414931017949697007530034379610754908774038875145063023078177_<69>

Number: 92229_158 N=7845651518440422046274124148055206572053296058018576850355756519442414234698093136206369834368093919414710356459458036979 ( 121 digits) SNFS difficulty: 160 digits. Divisors found: r1=19948874429255659337544510594592376405101429806260627 (pp53) r2=393287929414931017949697007530034379610754908774038875145063023078177 (pp69) Version: GGNFS-0.77.1-20050930-nocona Total time: 38.31 hours. Scaled time: 82.06 units (timescale=2.142). Factorization parameters were as follows: n: 7845651518440422046274124148055206572053296058018576850355756519442414234698093136206369834368093919414710356459458036979 m: 20000000000000000000000000000000 c5: 10375 c0: 244 skew: 0.47 type: snfs Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2000000, 4200001) Primes: RFBsize:283146, AFBsize:283188, largePrimes:5761581 encountered Relations: rels:5805318, finalFF:660921 Max relations in full relation-set: 28 Initial matrix: 566401 x 660921 with sparse part having weight 47281694. Pruned matrix : 502096 x 504992 with weight 33891197. Total sieving time: 36.70 hours. Total relation processing time: 0.10 hours. Matrix solve time: 1.46 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000 total time: 38.31 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129) Total of 4 processors activated (19246.12 BogoMIPS).
Jul 29, 2007: By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
(10¹⁶³-7)/3 = (3)₁₆₂1_<163> = 401 · 340687 · C155
C155 = P34 · P58 · P65
P34 = 1169754593539985501873975459730137_<34>
P58 = 1658788489453091556494815237092230110842898508302882101211_<58>
P65 = 12574566972385656776513038298834533485077579778495931368800832559_<65>

Number: n N=24399381113601954464601318101902556137967969424530421893773531937366173816979720120115908479199970449421545694400908832051620423776210184232870562715436013 ( 155 digits) SNFS difficulty: 163 digits. Divisors found: r1=1169754593539985501873975459730137 (pp34) r2=1658788489453091556494815237092230110842898508302882101211 (pp58) r3=12574566972385656776513038298834533485077579778495931368800832559 (pp65) Version: GGNFS-0.77.1-20051202-athlon Total time: 42.87 hours. Scaled time: 62.21 units (timescale=1.451). Factorization parameters were as follows: name: KA_3_162_1 n: 24399381113601954464601318101902556137967969424530421893773531937366173816979720120115908479199970449421545694400908832051620423776210184232870562715436013 skew: 0.37 deg: 5 c5: 1000 c0: -7 m: 100000000000000000000000000000000 type: snfs rlim: 3500000 alim: 3500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 2000001) Primes: RFBsize:250150, AFBsize:249886, largePrimes:7373909 encountered Relations: rels:6949423, finalFF:611249 Max relations in full relation-set: 28 Initial matrix: 500102 x 611249 with sparse part having weight 41187658. Pruned matrix : 405991 x 408555 with weight 24372265. Total sieving time: 38.29 hours. Total relation processing time: 0.22 hours. Matrix solve time: 4.21 hours. Total square root time: 0.14 hours, sqrts: 2. Prototype def-par.txt line would be: snfs,163,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000 total time: 42.87 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+
(16·10¹⁶³-7)/9 = 1(7)₁₆₃_<164> = 257 · 423277 · C156
C156 = P41 · P51 · P64
P41 = 73711078007185859471835668366940479393171_<41>
P51 = 821912260604473840932297229077014953449618054109223_<51>
P64 = 2697500027586692927181515435498036599615808525035592363867652721_<64>

Number: n N=163425446216914956342510976477755726884460633328290330485790994496146586807310687393666786552509784278911484101296929939309989227903639425547667346331647893 ( 156 digits) SNFS difficulty: 164 digits. Divisors found: r1=73711078007185859471835668366940479393171 (pp41) r2=821912260604473840932297229077014953449618054109223 (pp51) r3=2697500027586692927181515435498036599615808525035592363867652721 (pp64) Version: GGNFS-0.77.1-20051202-athlon Total time: 61.71 hours. Scaled time: 73.69 units (timescale=1.194). Factorization parameters were as follows: name: KA_1_7_163 n: 163425446216914956342510976477755726884460633328290330485790994496146586807310687393666786552509784278911484101296929939309989227903639425547667346331647893 type: snfs skew: 0.43 deg: 5 c5: 500 c0: -7 m: 200000000000000000000000000000000 rlim: 3600000 alim: 3600000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 3600000/3600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 2600001) Primes: RFBsize:256726, AFBsize:256456, largePrimes:7276877 encountered Relations: rels:6788820, finalFF:601944 Max relations in full relation-set: 28 Initial matrix: 513248 x 601944 with sparse part having weight 36488675. Pruned matrix : 437144 x 439774 with weight 22807094. Total sieving time: 56.01 hours. Total relation processing time: 0.28 hours. Matrix solve time: 5.06 hours. Total square root time: 0.35 hours, sqrts: 3. Prototype def-par.txt line would be: snfs,164,5,0,0,0,0,0,0,0,0,3600000,3600000,28,28,48,48,2.3,2.3,100000 total time: 61.71 hours. --------- CPU info (if available) ---------- Cygwin on AMD XP 2700+
Jul 28, 2007 (5th): By honeycrack7 / GGNFS-0.77.1-20060513-k8
4·10¹⁷⁰+3 = 4(0)₁₆₉3_<171> = 13 · 2332022449008725190543961_<25> · 9091674957193157331925985427613_<31> · C115
C115 = P52 · P63
P52 = 5519848976962319518553726010848147162459426482482457_<52>
P63 = 262913457234491688131920560141939578410279343647748980394630731_<63>
Jul 28, 2007 (4th): By Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4
7·10¹⁵⁰-3 = 6(9)₁₄₉7_<151> = 23537 · 117047527 · C139
C139 = P55 · P84
P55 = 8764729519896434388185150658193376696083145995054647761_<55>
P84 = 289898636097657769901727571746993680083346617528438604091309287391756698440245150523_<84>

Number: 69997_150 N=2540883133582855129103294851665209412058385608097038665067689287721635183644657611078834087886540221297369512376354576518671195152189929003 ( 139 digits) SNFS difficulty: 150 digits. Divisors found: r1=8764729519896434388185150658193376696083145995054647761 (pp55) r2=289898636097657769901727571746993680083346617528438604091309287391756698440245150523 (pp84) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 26.99 hours. Scaled time: 18.41 units (timescale=0.682). Factorization parameters were as follows: name: 69997_150 n: 2540883133582855129103294851665209412058385608097038665067689287721635183644657611078834087886540221297369512376354576518671195152189929003 m: 1000000000000000000000000000000 c5: 7 c0: -3 skew: 0.84 type: snfs Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1200000, 1900001) Primes: RFBsize:176302, AFBsize:175733, largePrimes:5394959 encountered Relations: rels:5312038, finalFF:400934 Max relations in full relation-set: 0 Initial matrix: 352100 x 400934 with sparse part having weight 23256659. Pruned matrix : 317140 x 318964 with weight 17341814. Total sieving time: 23.86 hours. Total relation processing time: 0.19 hours. Matrix solve time: 2.81 hours. Time per square root: 0.14 hours. Prototype def-par.txt line would be: snfs,150,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 26.99 hours. --------- CPU info (if available) ----------
Jul 28, 2007 (3rd): By Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona
(2·10¹⁵⁹+43)/9 = (2)₁₅₈7_<159> = 239 · 809 · 4027 · 238547 · 885263 · C139
C139 = P45 · P94
P45 = 347764084623597453108213934934669011761877139_<45>
P94 = 3886229406208272471593857319229809807058694766986913068964477873900842341708025811926593810169_<94>

Number: 22227_159 N=1351491012087326549211979087569214053838808220524355993937154678565591119267140370025719121273819964452615804361909214924166342965666826491 ( 139 digits) SNFS difficulty: 160 digits. Divisors found: r1=347764084623597453108213934934669011761877139 (pp45) r2=3886229406208272471593857319229809807058694766986913068964477873900842341708025811926593810169 (pp94) Version: GGNFS-0.77.1-20050930-nocona Total time: 29.92 hours. Scaled time: 63.91 units (timescale=2.136). Factorization parameters were as follows: n: 1351491012087326549211979087569214053838808220524355993937154678565591119267140370025719121273819964452615804361909214924166342965666826491 m: 100000000000000000000000000000000 c5: 1 c0: 215 skew: 2.93 type: snfs Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2000000, 3600001) Primes: RFBsize:283146, AFBsize:283892, largePrimes:5618226 encountered Relations: rels:5629970, finalFF:640876 Max relations in full relation-set: 28 Initial matrix: 567102 x 640876 with sparse part having weight 39940913. Pruned matrix : 509180 x 512079 with weight 28084715. Total sieving time: 27.43 hours. Total relation processing time: 0.09 hours. Matrix solve time: 2.35 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000 total time: 29.92 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129) Total of 4 processors activated (19246.12 BogoMIPS).
2·10¹⁵⁹-9 = 1(9)₁₅₈1_<160> = 11 · 24691 · 52861 · 266261 · 4151011 · C138
C138 = P47 · P91
P47 = 40930808775623536636245772098276860041853369431_<47>
P91 = 3079296349757713797324715535825813229817563878384139018839754824005144136790174117702778331_<91>

Number: 19991_159 N=126038090055408555107408847579488891171318490786133096772283218499151669830811145264505896403808824896321957494548755525749518542444599661 ( 138 digits) SNFS difficulty: 160 digits. Divisors found: r1=40930808775623536636245772098276860041853369431 (pp47) r2=3079296349757713797324715535825813229817563878384139018839754824005144136790174117702778331 (pp91) Version: GGNFS-0.77.1-20050930-nocona Total time: 23.56 hours. Scaled time: 50.48 units (timescale=2.143). Factorization parameters were as follows: n: 126038090055408555107408847579488891171318490786133096772283218499151669830811145264505896403808824896321957494548755525749518542444599661 m: 100000000000000000000000000000000 c5: 1 c0: -45 skew: 2.14 type: snfs Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2000000, 3300001) Primes: RFBsize:283146, AFBsize:283177, largePrimes:5644839 encountered Relations: rels:5726943, finalFF:702143 Max relations in full relation-set: 28 Initial matrix: 566387 x 702143 with sparse part having weight 41923918. Pruned matrix : 452126 x 455021 with weight 25213445. Total sieving time: 22.45 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.97 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000 total time: 23.56 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129) Total of 4 processors activated (19246.12 BogoMIPS).
Jul 28, 2007 (2nd): By JMB / GMP-ECM B1=1000000
(25·10¹⁹⁷-7)/9 = 2(7)₁₉₇_<198> = 1373 · C195
C195 = P32 · C163
P32 = 85030629703280968207735306809773_<32>
C163 = [2379312940877966056839041692231255679976556971431892634670943410004573553981330698167952823566726167898725398615761464958869155626448416241982456084785127904775513_<163>]
Jul 28, 2007: By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
(2·10¹⁶²+1)/3 = (6)₁₆₁7_<162> = 89 · 5942153001947_<13> · C148
C148 = P54 · P94
P54 = 260109084099025462382032890421450150382266857071125187_<54>
P94 = 4846401432771397426216214806428116706548778140446303082763979669092372351100444829939195019827_<94>

Number: n N=1260593037854372908702191537268240612213565622246104193999268784722069543835151571262530708956084288244937923573974982203746499701928418153664082649 ( 148 digits) SNFS difficulty: 162 digits. Divisors found: r1=260109084099025462382032890421450150382266857071125187 (pp54) r2=4846401432771397426216214806428116706548778140446303082763979669092372351100444829939195019827 (pp94) Version: GGNFS-0.77.1-20051202-athlon Total time: 41.90 hours. Scaled time: 55.51 units (timescale=1.325). Factorization parameters were as follows: name: KA_6_161_7 n: 1260593037854372908702191537268240612213565622246104193999268784722069543835151571262530708956084288244937923573974982203746499701928418153664082649 skew: 0.35 deg: 5 c5: 200 c0: 1 m: 100000000000000000000000000000000 type: snfs rlim: 3500000 alim: 3500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 1700001) Primes: RFBsize:250150, AFBsize:249566, largePrimes:7143893 encountered Relations: rels:6652480, finalFF:561530 Max relations in full relation-set: 48 Initial matrix: 499781 x 561530 with sparse part having weight 37610274. Pruned matrix : 446875 x 449437 with weight 24206431. Total sieving time: 36.44 hours. Total relation processing time: 0.22 hours. Matrix solve time: 5.14 hours. Total square root time: 0.09 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000 total time: 41.90 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+
Jul 27, 2007 (6th): By Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp
9·10¹⁶¹+1 = 9(0)₁₆₀1_<162> = 19² · 268115868282277_<15> · C145
C145 = P43 · P103
P43 = 1452612416148001223786387377375980929408933_<43>
P103 = 6401224184307784221531476143753944364302696193784598490179821129689892756268275790197304471135782300801_<103>

Number: n N=9298497728672348738654088152725043047653335440887426945669034198013979457141066603768096625347093326453497719648788386059162812868886287742455333 ( 145 digits) SNFS difficulty: 161 digits. Divisors found: r1=1452612416148001223786387377375980929408933 (pp43) r2=6401224184307784221531476143753944364302696193784598490179821129689892756268275790197304471135782300801 (pp103) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 50.93 hours. Scaled time: 54.65 units (timescale=1.073). Factorization parameters were as follows: name: KA_9_0_160_1 n: 9298497728672348738654088152725043047653335440887426945669034198013979457141066603768096625347093326453497719648788386059162812868886287742455333 skew: 0.41 deg: 5 c5: 90 c0: 1 m: 100000000000000000000000000000000 type: snfs rlim: 3500000 alim: 3500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 2000001) Primes: RFBsize:250150, AFBsize:249956, largePrimes:7360513 encountered Relations: rels:6909886, finalFF:585073 Max relations in full relation-set: 28 Initial matrix: 500173 x 585073 with sparse part having weight 41263807. Pruned matrix : 430599 x 433163 with weight 26317605. Total sieving time: 45.72 hours. Total relation processing time: 0.26 hours. Matrix solve time: 4.79 hours. Total square root time: 0.16 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000 total time: 50.93 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+
Jul 27, 2007 (5th): By Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4
5·10¹⁶³-3 = 4(9)₁₆₂7_<164> = 2833 · 184967 · 13315699 · C148
C148 = P35 · P113
P35 = 74998792236344109387450078891725779_<35>
P113 = 95545654112791421636906751022948221950213818775035727503822215288586505310116495426553720942470582028517007755987_<113>

Number: 49997_163 N=7165808661890840897859714216746508466161349306048122768370338285750348690423700476081529989454370863114686016738935169566343753929497072942549488873 ( 148 digits) SNFS difficulty: 164 digits. Divisors found: r1=74998792236344109387450078891725779 (pp35) r2=95545654112791421636906751022948221950213818775035727503822215288586505310116495426553720942470582028517007755987 (pp113) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 96.02 hours. Scaled time: 65.49 units (timescale=0.682). Factorization parameters were as follows: name: 49997_163 n: 7165808661890840897859714216746508466161349306048122768370338285750348690423700476081529989454370863114686016738935169566343753929497072942549488873 m: 500000000000000000000000000000000 c5: 8 c0: -15 skew: 1.13 type: snfs Factor base limits: 4500000/4500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2250000, 4550001) Primes: RFBsize:315948, AFBsize:315761, largePrimes:5791399 encountered Relations: rels:5931578, finalFF:709466 Max relations in full relation-set: 0 Initial matrix: 631774 x 709466 with sparse part having weight 36626735. Pruned matrix : 573328 x 576550 with weight 28530803. Total sieving time: 82.87 hours. Total relation processing time: 0.35 hours. Matrix solve time: 12.59 hours. Time per square root: 0.22 hours. Prototype def-par.txt line would be: snfs,164,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000 total time: 96.02 hours. --------- CPU info (if available) ----------
Jul 27, 2007 (4th): By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
6·10¹⁶²-1 = 5(9)₁₆₂_<163> = 33413 · 15377792567_<11> · C149
C149 = P40 · P109
P40 = 8461863041793557423309640118101540415199_<40>
P109 = 1379989523873218126548187496324337406517253315539049102957670242333680936574239687581847686601665035459375931_<109>

Number: n N=11677282350125072565528496755056693390894578124346913826602577065368169930338426882409563592311243405998642515404383594961811857506465947731167175269 ( 149 digits) SNFS difficulty: 162 digits. Divisors found: r1=8461863041793557423309640118101540415199 (pp40) r2=1379989523873218126548187496324337406517253315539049102957670242333680936574239687581847686601665035459375931 (pp109) Version: GGNFS-0.77.1-20051202-athlon Total time: 42.45 hours. Scaled time: 61.47 units (timescale=1.448). Factorization parameters were as follows: name: KA_5_9_162 n: 11677282350125072565528496755056693390894578124346913826602577065368169930338426882409563592311243405998642515404383594961811857506465947731167175269 skew: 0.28 deg: 5 c5: 600 c0: -1 m: 100000000000000000000000000000000 type: snfs rlim: 3500000 alim: 3500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 1900001) Primes: RFBsize:250150, AFBsize:249916, largePrimes:7325134 encountered Relations: rels:6881070, finalFF:592491 Max relations in full relation-set: 28 Initial matrix: 500132 x 592491 with sparse part having weight 39869074. Pruned matrix : 421848 x 424412 with weight 24612582. Total sieving time: 37.71 hours. Total relation processing time: 0.22 hours. Matrix solve time: 4.45 hours. Total square root time: 0.07 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000 total time: 42.45 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+
(13·10¹⁶¹-1)/3 = 4(3)₁₆₁_<162> = 35591 · 56617483129_<11> · C147
C147 = P28 · P56 · P64
P28 = 6916321829686376333181913823_<28>
P56 = 11574884111412367178608580326121743923707807455418638553_<56>
P64 = 2686207161095289004338174437326230035207838243702836292283105613_<64>

Number: n N=215045989550297315654863919994251904257815223605138461618086564897394811789556878090551491142316445311255103555809184394301856619887795350638801947 ( 147 digits) SNFS difficulty: 162 digits. Divisors found: r1=6916321829686376333181913823 (pp28) r2=11574884111412367178608580326121743923707807455418638553 (pp56) r3=2686207161095289004338174437326230035207838243702836292283105613 (pp64) Version: GGNFS-0.77.1-20051202-athlon Total time: 61.29 hours. Scaled time: 58.97 units (timescale=0.962). Factorization parameters were as follows: name: KA_4_3_161 n: 215045989550297315654863919994251904257815223605138461618086564897394811789556878090551491142316445311255103555809184394301856619887795350638801947 type: snfs skew: 1 deg: 5 c5: 130 c0: -1 m: 100000000000000000000000000000000 rlim: 3500000 alim: 3500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [1750000, 3750001) Primes: RFBsize:250150, AFBsize:250361, largePrimes:7677203 encountered Relations: rels:7173676, finalFF:581835 Max relations in full relation-set: 48 Initial matrix: 500578 x 581835 with sparse part having weight 54017180. Pruned matrix : 461516 x 464082 with weight 37017683. Total sieving time: 53.03 hours. Total relation processing time: 0.36 hours. Matrix solve time: 7.72 hours. Time per square root: 0.19 hours. Prototype def-par.txt line would be: snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.3,2.3,100000 total time: 61.29 hours. --------- CPU info (if available) ---------- CPU: AMD Athlon(tm) XP 2400+ stepping 01 Memory: 901612k/917504k available (1069k kernel code, 15504k reserved, 459k data, 96k init, 0k highmem) sisfb: Memory heap starting at 12288K, size 19960K Calibrating delay loop... 4010.80 BogoMIPS
Jul 27, 2007 (3rd): By JMB / GMP-ECM B1=1000000
(25·10¹⁸⁵-7)/9 = 2(7)₁₈₅_<186> = 809 · 1498561 · 4617297143_<10> · C167
C167 = P32 · P135
P32 = 54832091297347447631038216522501_<32>
P135 = 905006956151265763655758125706409102912355176390129079383960741381669849617325066992415304569102339104861501591003320417505261613287411_<135>
Jul 27, 2007 (2nd): By Jo Yeong Uk / Msieve v. 1.25, GGNFS-0.77.1-20050930-nocona
(25·10¹⁶⁵-7)/9 = 2(7)₁₆₅_<166> = 296987 · 1840206433618866165991_<22> · 26841431788288106581500307455836598045271854373_<47> · C93
C93 = P44 · P49
P44 = 47762472444603047641362563601969990683449099_<44>
P49 = 3964615152987551810337697840608378229741533181603_<49>

Fri Jul 27 00:00:02 2007 Fri Jul 27 00:00:02 2007 Fri Jul 27 00:00:02 2007 Msieve v. 1.25 Fri Jul 27 00:00:02 2007 random seeds: 2bd8376f a00d4807 Fri Jul 27 00:00:02 2007 factoring 189359821998023639433196029818337369944098310651646127033896205015214673371291949815173725697 (93 digits) Fri Jul 27 00:00:02 2007 commencing quadratic sieve (92-digit input) Fri Jul 27 00:00:02 2007 using multiplier of 1 Fri Jul 27 00:00:02 2007 using 32kb Intel Core sieve core Fri Jul 27 00:00:02 2007 sieve interval: 36 blocks of size 32768 Fri Jul 27 00:00:02 2007 processing polynomials in batches of 6 Fri Jul 27 00:00:02 2007 using a sieve bound of 1888763 (70588 primes) Fri Jul 27 00:00:02 2007 using large prime bound of 220985271 (27 bits) Fri Jul 27 00:00:02 2007 using double large prime bound of 1046776511774331 (42-50 bits) Fri Jul 27 00:00:02 2007 using trial factoring cutoff of 50 bits Fri Jul 27 00:00:02 2007 polynomial 'A' values have 12 factors Fri Jul 27 01:44:58 2007 70722 relations (18185 full + 52537 combined from 929745 partial), need 70684 Fri Jul 27 01:44:59 2007 begin with 947930 relations Fri Jul 27 01:44:59 2007 reduce to 179343 relations in 10 passes Fri Jul 27 01:44:59 2007 attempting to read 179343 relations Fri Jul 27 01:45:01 2007 recovered 179343 relations Fri Jul 27 01:45:01 2007 recovered 160005 polynomials Fri Jul 27 01:45:01 2007 attempting to build 70722 cycles Fri Jul 27 01:45:01 2007 found 70722 cycles in 6 passes Fri Jul 27 01:45:01 2007 distribution of cycle lengths: Fri Jul 27 01:45:01 2007 length 1 : 18185 Fri Jul 27 01:45:01 2007 length 2 : 12896 Fri Jul 27 01:45:01 2007 length 3 : 12122 Fri Jul 27 01:45:01 2007 length 4 : 9485 Fri Jul 27 01:45:01 2007 length 5 : 6891 Fri Jul 27 01:45:01 2007 length 6 : 4485 Fri Jul 27 01:45:01 2007 length 7 : 2866 Fri Jul 27 01:45:01 2007 length 9+: 3792 Fri Jul 27 01:45:01 2007 largest cycle: 24 relations Fri Jul 27 01:45:01 2007 matrix is 70588 x 70722 with weight 4300045 (avg 60.80/col) Fri Jul 27 01:45:02 2007 filtering completed in 3 passes Fri Jul 27 01:45:02 2007 matrix is 66700 x 66763 with weight 4091463 (avg 61.28/col) Fri Jul 27 01:45:03 2007 saving the first 48 matrix rows for later Fri Jul 27 01:45:03 2007 matrix is 66652 x 66763 with weight 3180982 (avg 47.65/col) Fri Jul 27 01:45:03 2007 matrix includes 64 packed rows Fri Jul 27 01:45:03 2007 using block size 26705 for processor cache size 4096 kB Fri Jul 27 01:45:03 2007 commencing Lanczos iteration Fri Jul 27 01:45:24 2007 lanczos halted after 1056 iterations Fri Jul 27 01:45:24 2007 recovered 17 nontrivial dependencies Fri Jul 27 01:45:25 2007 prp44 factor: 47762472444603047641362563601969990683449099 Fri Jul 27 01:45:25 2007 prp49 factor: 3964615152987551810337697840608378229741533181603 Fri Jul 27 01:45:25 2007 elapsed time 01:45:23
(25·10¹⁷⁶-7)/9 = 2(7)₁₇₆_<177> = 53 · 170174087 · 9924073470733_<13> · 5048202952542749191_<19> · 250364392061117480432331832411240313552347_<42> · C94
C94 = P37 · P57
P37 = 3963347185486060546396209546732592561_<37>
P57 = 619536279901870322724589710902400805635161682525735259507_<57>

Fri Jul 27 01:51:19 2007 Fri Jul 27 01:51:19 2007 Fri Jul 27 01:51:19 2007 Msieve v. 1.25 Fri Jul 27 01:51:19 2007 random seeds: a432810d 7a7c1870 Fri Jul 27 01:51:19 2007 factoring 2455437371255581962526922265114020960306360460563718242524031556201268139958057995992232727427 (94 digits) Fri Jul 27 01:51:19 2007 commencing quadratic sieve (94-digit input) Fri Jul 27 01:51:19 2007 using multiplier of 3 Fri Jul 27 01:51:19 2007 using 32kb Intel Core sieve core Fri Jul 27 01:51:19 2007 sieve interval: 36 blocks of size 32768 Fri Jul 27 01:51:19 2007 processing polynomials in batches of 6 Fri Jul 27 01:51:19 2007 using a sieve bound of 2023097 (75294 primes) Fri Jul 27 01:51:19 2007 using large prime bound of 271094998 (28 bits) Fri Jul 27 01:51:19 2007 using double large prime bound of 1512232961643520 (42-51 bits) Fri Jul 27 01:51:19 2007 using trial factoring cutoff of 51 bits Fri Jul 27 01:51:19 2007 polynomial 'A' values have 12 factors Fri Jul 27 03:46:55 2007 75609 relations (19298 full + 56311 combined from 1057051 partial), need 75390 Fri Jul 27 03:46:55 2007 begin with 1076349 relations Fri Jul 27 03:46:56 2007 reduce to 193033 relations in 11 passes Fri Jul 27 03:46:56 2007 attempting to read 193033 relations Fri Jul 27 03:46:58 2007 recovered 193033 relations Fri Jul 27 03:46:58 2007 recovered 172661 polynomials Fri Jul 27 03:46:58 2007 attempting to build 75609 cycles Fri Jul 27 03:46:58 2007 found 75609 cycles in 5 passes Fri Jul 27 03:46:58 2007 distribution of cycle lengths: Fri Jul 27 03:46:58 2007 length 1 : 19298 Fri Jul 27 03:46:58 2007 length 2 : 13639 Fri Jul 27 03:46:58 2007 length 3 : 12851 Fri Jul 27 03:46:58 2007 length 4 : 10149 Fri Jul 27 03:46:58 2007 length 5 : 7572 Fri Jul 27 03:46:58 2007 length 6 : 4979 Fri Jul 27 03:46:58 2007 length 7 : 3073 Fri Jul 27 03:46:58 2007 length 9+: 4048 Fri Jul 27 03:46:58 2007 largest cycle: 19 relations Fri Jul 27 03:46:58 2007 matrix is 75294 x 75609 with weight 4735754 (avg 62.63/col) Fri Jul 27 03:46:59 2007 filtering completed in 3 passes Fri Jul 27 03:46:59 2007 matrix is 71057 x 71120 with weight 4477233 (avg 62.95/col) Fri Jul 27 03:47:00 2007 saving the first 48 matrix rows for later Fri Jul 27 03:47:00 2007 matrix is 71009 x 71120 with weight 3452561 (avg 48.55/col) Fri Jul 27 03:47:00 2007 matrix includes 64 packed rows Fri Jul 27 03:47:00 2007 using block size 28448 for processor cache size 4096 kB Fri Jul 27 03:47:00 2007 commencing Lanczos iteration Fri Jul 27 03:47:26 2007 lanczos halted after 1125 iterations Fri Jul 27 03:47:26 2007 recovered 15 nontrivial dependencies Fri Jul 27 03:47:26 2007 prp37 factor: 3963347185486060546396209546732592561 Fri Jul 27 03:47:26 2007 prp57 factor: 619536279901870322724589710902400805635161682525735259507 Fri Jul 27 03:47:26 2007 elapsed time 01:56:07
(7·10¹⁸¹-1)/3 = 2(3)₁₈₁_<182> = C182
C182 = P50 · P59 · P74
P50 = 63260551995570788106768735871476130074461634746477_<50>
P59 = 25995503880899966863964451990659560723251183499345255736491_<59>
P74 = 14188796769082230791752762485216295330686733826011471336380633628674520219_<74>

Number: 23333_181 N=23333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 ( 182 digits) SNFS difficulty: 181 digits. Divisors found: r1=63260551995570788106768735871476130074461634746477 (pp50) r2=25995503880899966863964451990659560723251183499345255736491 (pp59) r3=14188796769082230791752762485216295330686733826011471336380633628674520219 (pp74) Version: GGNFS-0.77.1-20050930-nocona Total time: 251.75 hours. Scaled time: 538.99 units (timescale=2.141). Factorization parameters were as follows: n: 23333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 m: 1000000000000000000000000000000000000 c5: 70 c0: -1 skew: 0.43 type: snfs Factor base limits: 10000000/10000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 50/50 Sieved algebraic special-q in [5000000, 9100001) Primes: RFBsize:664579, AFBsize:665975, largePrimes:11133286 encountered Relations: rels:11498215, finalFF:1574842 Max relations in full relation-set: 28 Initial matrix: 1330621 x 1574842 with sparse part having weight 97445326. Pruned matrix : 1107698 x 1114415 with weight 66130008. Total sieving time: 240.97 hours. Total relation processing time: 0.46 hours. Matrix solve time: 10.19 hours. Time per square root: 0.12 hours. Prototype def-par.txt line would be: snfs,181,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,50,50,2.6,2.6,100000 total time: 251.75 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129) Total of 4 processors activated (19246.12 BogoMIPS).
Jul 27, 2007: By Wataru Sakai / GMP-ECM 6.1.1 B1=11000000
4·10¹⁹⁴+1 = 4(0)₁₉₃1_<195> = 721324202162977116296517293557_<30> · 230366834312643340988031253121778481_<36> · C130
C130 = P46 · P84
P46 = 4539551603725680577678687090612374940158174209_<46>
P84 = 530269411486144259272416902466941069870793165414892485082648513501276740375531374317_<84>
Jul 26, 2007 (5th): By Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona
(8·10¹⁵⁸+1)/9 = (8)₁₅₇9_<158> = 251 · 19051 · 661553 · 16802878173815484403_<20> · C127
C127 = P36 · P91
P36 = 507720820294334799136631537333312339_<36>
P91 = 3293689718850709442805545468432778915791702568309037103083241191944222576426385744129092889_<91>

Number: 88889_158 N=1672274845849899157699286610421044576382314630035217679398866050298573807484823525552765996029264801596675892531763861780857371 ( 127 digits) SNFS difficulty: 160 digits. Divisors found: r1=507720820294334799136631537333312339 (pp36) r2=3293689718850709442805545468432778915791702568309037103083241191944222576426385744129092889 (pp91) Version: GGNFS-0.77.1-20050930-nocona Total time: 26.23 hours. Scaled time: 56.17 units (timescale=2.141). Factorization parameters were as follows: n: 1672274845849899157699286610421044576382314630035217679398866050298573807484823525552765996029264801596675892531763861780857371 m: 100000000000000000000000000000000 c5: 2 c0: 25 skew: 1.66 type: snfs Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2000000, 3500001) Primes: RFBsize:283146, AFBsize:282402, largePrimes:5682679 encountered Relations: rels:5768719, finalFF:704676 Max relations in full relation-set: 28 Initial matrix: 565613 x 704676 with sparse part having weight 43802932. Pruned matrix : 450587 x 453479 with weight 27244630. Total sieving time: 25.05 hours. Total relation processing time: 0.09 hours. Matrix solve time: 1.04 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000 total time: 26.23 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129) Total of 4 processors activated (19246.12 BogoMIPS).
Jul 26, 2007 (4th): By Alfred Reich
10⁵¹⁵+1 is divisible by 896048585318577702680084550566846611_<36>
Reference: Factorizations of numbers of the form 10^n+1 (Alfred Reich)
Jul 26, 2007 (3rd): By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
6·10¹⁶¹-1 = 5(9)₁₆₁_<162> = 43 · 836569 · 2898421 · C148
C148 = P43 · P48 · P58
P43 = 8293782204604425278695261694855447366239429_<43>
P48 = 373661139043910874867543028013950188940119372163_<48>
P58 = 1856902068363473523911678753942645197496692067981158293791_<58>

Number: n N=5754658547595349311495950603756779150156168225617883200618038320893662324167945261296559539792048549985733231130607693324550635705623295348791018257 ( 148 digits) SNFS difficulty: 161 digits. Divisors found: r1=8293782204604425278695261694855447366239429 (pp43) r2=373661139043910874867543028013950188940119372163 (pp48) r3=1856902068363473523911678753942645197496692067981158293791 (pp58) Version: GGNFS-0.77.1-20051202-athlon Total time: 38.23 hours. Scaled time: 50.61 units (timescale=1.324). Factorization parameters were as follows: name: KA_5_9_161 n: 5754658547595349311495950603756779150156168225617883200618038320893662324167945261296559539792048549985733231130607693324550635705623295348791018257 skew: 0.44 deg: 5 c5: 60 c0: -1 m: 100000000000000000000000000000000 type: snfs rlim: 3500000 alim: 3500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 1700001) Primes: RFBsize:250150, AFBsize:249771, largePrimes:7114930 encountered Relations: rels:6634553, finalFF:568518 Max relations in full relation-set: 48 Initial matrix: 499988 x 568518 with sparse part having weight 37166803. Pruned matrix : 440914 x 443477 with weight 23182215. Total sieving time: 33.28 hours. Total relation processing time: 0.22 hours. Matrix solve time: 4.57 hours. Total square root time: 0.15 hours, sqrts: 2. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000 total time: 38.23 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+
6·10¹⁶³+1 = 6(0)₁₆₂1_<164> = 17 · 353 · 383 · C158
C158 = P55 · P103
P55 = 5215147241069255739103596758994562191897609456843465301_<55>
P103 = 5005670690155230684429614037038784632521687552228111599112073609027731095334283017297356948767263632947_<103>

Number: n N=26105309689464288588977555089817493429076006914426359749441237600521758122993426247931698067728485635335799124863001510192165535509094872351561945941994872047 ( 158 digits) SNFS difficulty: 164 digits. Divisors found: r1=5215147241069255739103596758994562191897609456843465301 (pp55) r2=5005670690155230684429614037038784632521687552228111599112073609027731095334283017297356948767263632947 (pp103) Version: GGNFS-0.77.1-20051202-athlon Total time: 63.28 hours. Scaled time: 75.62 units (timescale=1.195). Factorization parameters were as follows: name: KA_6_0_162_1 n: 26105309689464288588977555089817493429076006914426359749441237600521758122993426247931698067728485635335799124863001510192165535509094872351561945941994872047 type: snfs skew: 0.35 deg: 5 c5: 375 c0: 2 m: 200000000000000000000000000000000 rlim: 3600000 alim: 3600000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 3600000/3600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 2500001) Primes: RFBsize:256726, AFBsize:256771, largePrimes:7311903 encountered Relations: rels:6805144, finalFF:587598 Max relations in full relation-set: 28 Initial matrix: 513563 x 587598 with sparse part having weight 35738792. Pruned matrix : 452305 x 454936 with weight 23525858. Total sieving time: 57.84 hours. Total relation processing time: 0.28 hours. Matrix solve time: 5.04 hours. Total square root time: 0.12 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,164,5,0,0,0,0,0,0,0,0,3600000,3600000,28,28,48,48,2.3,2.3,100000 total time: 63.28 hours. --------- CPU info (if available) ---------- Cygwin on AMD XP 2700+
Jul 26, 2007 (2nd): By JMB / GMP-ECM B1=1000000
(25·10¹⁷⁶-7)/9 = 2(7)₁₇₆_<177> = 53 · 170174087 · 9924073470733_<13> · 5048202952542749191_<19> · C135
C135 = P42 · C94
P42 = 250364392061117480432331832411240313552347_<42>
C94 = [2455437371255581962526922265114020960306360460563718242524031556201268139958057995992232727427_<94>]
Jul 26, 2007: By Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs
7·10¹⁶⁰-3 = 6(9)₁₅₉7_<161> = 1023557 · 676040311822727_<15> · 225167822909311193771939915964703697_<36> · C105
C105 = P47 · P59
P47 = 26553121374225817669622704350957054548498613613_<47>
P59 = 16919655045991966846784423102442420227389002548091598746443_<59>

Number: 69997_160 N=449269654046257004984956784811621039356018734468246305859975642850924126367108968544894530278674215128559 ( 105 digits) Divisors found: r1=26553121374225817669622704350957054548498613613 (pp47) r2=16919655045991966846784423102442420227389002548091598746443 (pp59) Version: GGNFS-0.77.1-20050930-nocona Total time: 8.63 hours. Scaled time: 18.49 units (timescale=2.142). Factorization parameters were as follows: name: 69997_160 n: 449269654046257004984956784811621039356018734468246305859975642850924126367108968544894530278674215128559 skew: 10958.86 # norm 7.52e+14 c5: 43560 c4: -563864382 c3: -51657033522313 c2: 36279037644759719 c1: 357816660151572433929 c0: 516503811917770537490127 # alpha -6.49 Y1: 32038029803 Y0: -100619974011831009902 # Murphy_E 2.05e-09 # M 112706527664659458380579445234447723037480698246914182616771058378695853459900351089940084316930206294864 type: gnfs rlim: 1800000 alim: 1800000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 60000 Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [900000, 1320001) Primes: RFBsize:135072, AFBsize:135315, largePrimes:4535175 encountered Relations: rels:4601948, finalFF:406094 Max relations in full relation-set: 28 Initial matrix: 270467 x 406094 with sparse part having weight 36895626. Pruned matrix : 194220 x 195636 with weight 16421677. Polynomial selection time: 0.43 hours. Total sieving time: 7.88 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.17 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,49,49,2.6,2.6,60000 total time: 8.63 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129) Total of 4 processors activated (19246.12 BogoMIPS).
Jul 25, 2007 (4th): By Alban Nonymous
10¹¹⁴²+1 is divisible by 72902178953713285322996186513081_<32>
10¹¹⁷⁴+1 is divisible by 56360262697642563914567399981_<29>
10¹³⁴⁸+1 is divisible by 28060177869481210079003327188873_<32>
10¹³⁴⁸+1 is divisible by 87621827832372981614062571297033_<32>
10¹³⁸²+1 is divisible by 897720822084629349764719120861_<30>
10¹⁴¹⁵+1 is divisible by 21279344764661594183530203415321_<32>
10¹⁴³⁹+1 is divisible by 6652742443560007068799568102809_<31>
10¹⁴⁴⁸+1 is divisible by 3741284323572778169733000409441_<31>
10¹⁴⁵⁴+1 is divisible by 24474149875167364484471358364249_<32>
10¹⁷⁶⁸+1 is divisible by 54377311669469461225374918721_<29>
10¹⁸²⁸+1 is divisible by 99257142543720996230422229080081_<32>
Reference: Factorizations of numbers of the form 10^n+1 (Alfred Reich)
Jul 25, 2007 (3rd): By JMB / GMP-ECM B1=3000000
(25·10¹⁷¹-7)/9 = 2(7)₁₇₁_<172> = 17 · 2087 · 21787 · 105991859 · 5704794863611639_<16> · 514082498989493831_<18> · C122
C122 = P39 · P83
P39 = 197487969842997416603481017802302838281_<39>
P83 = 58538648152060113017157905351021224725745777751121568986210159879682035562955814559_<83>
(25·10¹⁶⁵-7)/9 = 2(7)₁₆₅_<166> = 296987 · 1840206433618866165991_<22> · C139
C139 = P47 · C93
P47 = 26841431788288106581500307455836598045271854373_<47>
C93 = [189359821998023639433196029818337369944098310651646127033896205015214673371291949815173725697_<93>]
(25·10¹⁶¹-7)/9 = 2(7)₁₆₁_<162> = 145934700643261_<15> · 253469408840513_<15> · C133
C133 = P37 · P97
P37 = 2540772921047677915010225799850512679_<37>
P97 = 2955612696837122473621797379554555189784507453027799522994334517349252054962930031497122170904691_<97>
Jul 25, 2007 (2nd): By Robert Backstrom / GGNFS-0.77.1-20051202-athlon, GGNFS-0.77.1-20060513-athlon-xp
7·10¹⁵⁸-3 = 6(9)₁₅₇7_<159> = 1303 · 2473 · 133346505599_<12> · C142
C142 = P65 · P77
P65 = 42315979991490290739022320497289947523549183832673097091435256957_<65>
P77 = 38498469586434182358752612193019411923606426698177641577645805015090636763441_<77>

Number: n N=1629100468722546348836181865908396777509268424093637341521060707834668285197254554652258415454552586334588148334243116907405481886978658509037 ( 142 digits) SNFS difficulty: 158 digits. Divisors found: r1=42315979991490290739022320497289947523549183832673097091435256957 (pp65) r2=38498469586434182358752612193019411923606426698177641577645805015090636763441 (pp77) Version: GGNFS-0.77.1-20051202-athlon Total time: 35.97 hours. Scaled time: 51.83 units (timescale=1.441). Factorization parameters were as follows: name: KA_6_9_157_7 n: 1629100468722546348836181865908396777509268424093637341521060707834668285197254554652258415454552586334588148334243116907405481886978658509037 skew: 0.21 deg: 5 c5: 7000 c0: -3 m: 10000000000000000000000000000000 type: snfs rlim: 3500000 alim: 3500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 1600001) Primes: RFBsize:250150, AFBsize:249771, largePrimes:7127717 encountered Relations: rels:6646443, finalFF:562655 Max relations in full relation-set: 28 Initial matrix: 499988 x 562655 with sparse part having weight 34901852. Pruned matrix : 443280 x 445843 with weight 23027628. Total sieving time: 31.37 hours. Total relation processing time: 0.21 hours. Matrix solve time: 4.32 hours. Total square root time: 0.07 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,158,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000 total time: 35.97 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+
7·10¹⁵⁹-3 = 6(9)₁₅₈7_<160> = 11480647 · C153
C153 = P37 · P117
P37 = 2123843629199706450095966417930509967_<37>
P117 = 287084098820217654683647609855563415797505527535490938568019121616173404487170471297898238166611115453129796922918453_<117>

Number: n N=609721734323858228547572275325597938861808049668280890441104930758693303609108441362233330577971781555516862420732908171464552476876956499054452244721051 ( 153 digits) SNFS difficulty: 160 digits. Divisors found: r1=2123843629199706450095966417930509967 (pp37) r2=287084098820217654683647609855563415797505527535490938568019121616173404487170471297898238166611115453129796922918453 (pp117) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 52.22 hours. Scaled time: 71.22 units (timescale=1.364). Factorization parameters were as follows: name: KA_6_9_158_7 n: 609721734323858228547572275325597938861808049668280890441104930758693303609108441362233330577971781555516862420732908171464552476876956499054452244721051 skew: 1.34 deg: 5 c5: 7 c0: -30 m: 100000000000000000000000000000000 type: snfs rlim: 3500000 alim: 3500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 2100001) Primes: RFBsize:250150, AFBsize:249671, largePrimes:7451024 encountered Relations: rels:7012972, finalFF:594936 Max relations in full relation-set: 28 Initial matrix: 499886 x 594936 with sparse part having weight 41833194. Pruned matrix : 422235 x 424798 with weight 26496990. Total sieving time: 46.74 hours. Total relation processing time: 0.26 hours. Matrix solve time: 4.28 hours. Total square root time: 0.93 hours, sqrts: 7. Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000 total time: 52.22 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+
Jul 25, 2007: By Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona
(7·10¹⁵⁸-43)/9 = (7)₁₅₇3_<158> = 89 · 517482230513_<12> · 5274627333364848091_<19> · C126
C126 = P46 · P81
P46 = 2933276055435097150496053520245973899417083587_<46>
P81 = 109150408258221546428199289249059666027298203143441744801893598785485031825721717_<81>

Number: 77773_158 N=320168278984806550631540855094563858596255377566714042276093831735771608620605463361630935228187638716394639828145755590158879 ( 126 digits) SNFS difficulty: 159 digits. Divisors found: r1=2933276055435097150496053520245973899417083587 (pp46) r2=109150408258221546428199289249059666027298203143441744801893598785485031825721717 (pp81) Version: GGNFS-0.77.1-20050930-nocona Total time: 33.67 hours. Scaled time: 72.19 units (timescale=2.144). Factorization parameters were as follows: n: 320168278984806550631540855094563858596255377566714042276093831735771608620605463361630935228187638716394639828145755590158879 m: 20000000000000000000000000000000 c5: 875 c0: -172 skew: 0.72 type: snfs Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2000000, 3900001) Primes: RFBsize:283146, AFBsize:283557, largePrimes:5672154 encountered Relations: rels:5680276, finalFF:635478 Max relations in full relation-set: 28 Initial matrix: 566770 x 635478 with sparse part having weight 40948383. Pruned matrix : 518482 x 521379 with weight 30154788. Total sieving time: 31.82 hours. Total relation processing time: 0.12 hours. Matrix solve time: 1.67 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,159,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000 total time: 33.67 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129) Total of 4 processors activated (19246.12 BogoMIPS).
Jul 24, 2007 (2nd): By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
3·10¹⁶³-1 = 2(9)₁₆₃_<164> = 997 · 2287 · C158
C158 = P50 · P108
P50 = 45747879641691574163746483574403221719068934066339_<50>
P108 = 287600053136766851692762111657822054428122201049566171614253119368688303514147608918518033049860541686054719_<108>

Number: n N=13157092615844911209360481970616703630787421293175547631087403004816811606660821993746872449442775199231274935431567987741098240063434729198526931910730003741 ( 158 digits) SNFS difficulty: 163 digits. Divisors found: r1=45747879641691574163746483574403221719068934066339 (pp50) r2=287600053136766851692762111657822054428122201049566171614253119368688303514147608918518033049860541686054719 (pp108) Version: GGNFS-0.77.1-20051202-athlon Total time: 63.42 hours. Scaled time: 82.76 units (timescale=1.305). Factorization parameters were as follows: name: KA_2_9_163 n: 13157092615844911209360481970616703630787421293175547631087403004816811606660821993746872449442775199231274935431567987741098240063434729198526931910730003741 skew: 0.20 deg: 5 c5: 3000 c0: -1 m: 100000000000000000000000000000000 type: snfs rlim: 3600000 alim: 3600000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3600000/3600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 2600001) Primes: RFBsize:256726, AFBsize:256576, largePrimes:7639847 encountered Relations: rels:7209577, finalFF:633047 Max relations in full relation-set: 48 Initial matrix: 513369 x 633047 with sparse part having weight 51694938. Pruned matrix : 421670 x 424300 with weight 31990993. Total sieving time: 56.77 hours. Total relation processing time: 0.28 hours. Matrix solve time: 5.99 hours. Total square root time: 0.37 hours, sqrts: 4. Prototype def-par.txt line would be: snfs,163,5,0,0,0,0,0,0,0,0,3600000,3600000,28,28,48,48,2.5,2.5,100000 total time: 63.42 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+
7·10¹⁴⁹-3 = 6(9)₁₄₈7_<150> = 73 · 139 · C146
C146 = P44 · P50 · P53
P44 = 79426057057573470993450111694681586724818267_<44>
P50 = 10135149856645968832942226206178100278444840800939_<50>
P53 = 85697312347290420035372811292253154086540948455681127_<53>

Number: n N=68985907164679215531684241647777668276337833842515029072632305114812259781216122992017345028087119345619394895042869813738050655366118064452547551 ( 146 digits) SNFS difficulty: 150 digits. Divisors found: r1=79426057057573470993450111694681586724818267 (pp44) r2=10135149856645968832942226206178100278444840800939 (pp50) r3=85697312347290420035372811292253154086540948455681127 (pp53) Version: GGNFS-0.77.1-20051202-athlon Total time: 28.79 hours. Scaled time: 27.70 units (timescale=0.962). Factorization parameters were as follows: name: KA_6_9_148_7 n: 68985907164679215531684241647777668276337833842515029072632305114812259781216122992017345028087119345619394895042869813738050655366118064452547551 type: snfs skew: 1 deg: 5 c5: 7 c0: -30 m: 1000000000000000000000000000000 rlim: 3000000 alim: 3000000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [1500000, 2400001) Primes: RFBsize:216816, AFBsize:216451, largePrimes:7557334 encountered Relations: rels:7186983, finalFF:648300 Max relations in full relation-set: 48 Initial matrix: 433332 x 648300 with sparse part having weight 55843030. Pruned matrix : 303102 x 305332 with weight 30614410. Total sieving time: 24.47 hours. Total relation processing time: 0.27 hours. Matrix solve time: 3.92 hours. Time per square root: 0.13 hours. Prototype def-par.txt line would be: snfs,150,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.3,2.3,100000 total time: 28.79 hours. --------- CPU info (if available) ---------- CPU: AMD Athlon(tm) XP 2400+ stepping 01 Memory: 901612k/917504k available (1069k kernel code, 15504k reserved, 459k data, 96k init, 0k highmem) sisfb: Memory heap starting at 12288K, size 19960K Calibrating delay loop... 4010.80 BogoMIPS
Jul 24, 2007: By Jo Yeong Uk / GMP-ECM 6.1.2 B1=1000000
7·10¹⁶⁰-3 = 6(9)₁₅₉7_<161> = 1023557 · 676040311822727_<15> · C141
C141 = P36 · C105
P36 = 225167822909311193771939915964703697_<36>
C105 = [449269654046257004984956784811621039356018734468246305859975642850924126367108968544894530278674215128559_<105>]
Jul 23, 2007 (5th): By Bruce Dodson
10²⁷¹+1 is divisible by 256031814642414583920091086688834271205176259587307504943_<57>, cofactor is prime.
Reference: ECMNET (Paul Zimmermann)
Jul 23, 2007 (4th): By Robert Backstrom / GGNFS-0.77.1-20051202-athlon, GGNFS-0.77.1-20060513-athlon-xp
(73·10¹⁶²-1)/9 = 8(1)₁₆₂_<163> = 1423 · 19441 · C156
C156 = P39 · P55 · P63
P39 = 543595994789336592839503974042022463653_<39>
P55 = 3924592279844824544604200287483373227338892292932056637_<55>
P63 = 137431427308481583890246932087896925834997509780593354650152457_<63>

Number: n N=293195196143710420631604545613173914028188035172354414497687928953357773201281912052952080614926879909460680811214235894339953893730003460064788025275209177 ( 156 digits) SNFS difficulty: 163 digits. Divisors found: r1=543595994789336592839503974042022463653 (pp39) r2=3924592279844824544604200287483373227338892292932056637 (pp55) r3=137431427308481583890246932087896925834997509780593354650152457 (pp63) Version: GGNFS-0.77.1-20051202-athlon Total time: 69.55 hours. Scaled time: 100.51 units (timescale=1.445). Factorization parameters were as follows: name: KA_8_1_162 n: 293195196143710420631604545613173914028188035172354414497687928953357773201281912052952080614926879909460680811214235894339953893730003460064788025275209177 skew: 0.17 deg: 5 c5: 7300 c0: -1 m: 100000000000000000000000000000000 type: snfs rlim: 3500000 alim: 3500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 3200001) Primes: RFBsize:250150, AFBsize:251141, largePrimes:7701069 encountered Relations: rels:7215982, finalFF:564079 Max relations in full relation-set: 28 Initial matrix: 501358 x 564079 with sparse part having weight 45743064. Pruned matrix : 462725 x 465295 with weight 34374223. Total sieving time: 62.01 hours. Total relation processing time: 0.26 hours. Matrix solve time: 7.00 hours. Total square root time: 0.28 hours, sqrts: 3. Prototype def-par.txt line would be: snfs,163,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000 total time: 69.55 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+
7·10¹⁴⁰-3 = 6(9)₁₃₉7_<141> = 991 · 1057391 · 345418457 · C124
C124 = P59 · P66
P59 = 11250180495689321348084945885182355115543862335246134474303_<59>
P66 = 171903114767847828998563831031206474014001920428664101581017239147_<66>

Number: n N=1933941068909484585739512229673477136075976625781953413961591541199884613868795341283880692719104589317952297566427277139541 ( 124 digits) SNFS difficulty: 140 digits. Divisors found: r1=11250180495689321348084945885182355115543862335246134474303 (pp59) r2=171903114767847828998563831031206474014001920428664101581017239147 (pp66) Version: GGNFS-0.77.1-20051202-athlon Total time: 8.58 hours. Scaled time: 8.26 units (timescale=0.963). Factorization parameters were as follows: name: KA_6_9_139_7 n: 1933941068909484585739512229673477136075976625781953413961591541199884613868795341283880692719104589317952297566427277139541 type: snfs skew: 1 deg: 5 c5: 7 c0: -3 m: 10000000000000000000000000000 rlim: 2500000 alim: 2500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [1250000, 1850001) Primes: RFBsize:183072, AFBsize:182526, largePrimes:6512840 encountered Relations: rels:5911205, finalFF:420901 Max relations in full relation-set: 48 Initial matrix: 365663 x 420901 with sparse part having weight 26924881. Pruned matrix : 322386 x 324278 with weight 16005615. Total sieving time: 6.02 hours. Total relation processing time: 0.19 hours. Matrix solve time: 2.27 hours. Time per square root: 0.10 hours. Prototype def-par.txt line would be: snfs,140,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.3,2.3,100000 total time: 8.58 hours. --------- CPU info (if available) ---------- CPU: AMD Athlon(tm) XP 2400+ stepping 01 Memory: 901612k/917504k available (1069k kernel code, 15504k reserved, 459k data, 96k init, 0k highmem) sisfb: Memory heap starting at 12288K, size 19960K Calibrating delay loop... 4010.80 BogoMIPS
(2·10¹⁶¹+7)/9 = (2)₁₆₀3_<161> = 1714933083439_<13> · C149
C149 = P32 · P117
P32 = 21393514829134244932337814471241_<32>
P117 = 605700824976428319254861005827037748162874928762405763234457258027843650353567084980102064536103816470993229797108377_<117>

Number: n N=12958069581152065089700334183735480199819753791816814760004627272433457888819522067048753782066853574073171870347608059491626405404996336087026685857 ( 149 digits) SNFS difficulty: 161 digits. Divisors found: r1=21393514829134244932337814471241 (pp32) r2=605700824976428319254861005827037748162874928762405763234457258027843650353567084980102064536103816470993229797108377 (pp117) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 37.29 hours. Scaled time: 50.87 units (timescale=1.364). Factorization parameters were as follows: name: KA_2_160_3 n: 12958069581152065089700334183735480199819753791816814760004627272433457888819522067048753782066853574073171870347608059491626405404996336087026685857 skew: 0.81 deg: 5 c5: 20 c0: 7 m: 100000000000000000000000000000000 type: snfs rlim: 3500000 alim: 3500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 1400001) Primes: RFBsize:250150, AFBsize:249316, largePrimes:7126735 encountered Relations: rels:6696335, finalFF:602076 Max relations in full relation-set: 28 Initial matrix: 499532 x 602076 with sparse part having weight 35432862. Pruned matrix : 408966 x 411527 with weight 19865620. Total sieving time: 33.82 hours. Total relation processing time: 0.20 hours. Matrix solve time: 3.16 hours. Total square root time: 0.12 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000 total time: 37.29 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+
7·10¹⁴⁶-3 = 6(9)₁₄₅7_<147> = 17 · C146
C146 = P58 · P89
P58 = 2772341545407390176277168504286752739988576758255116308281_<58>
P89 = 14852596591660026569344293574475374603014785217941966344202020052222211474146804385683861_<89>

Number: n N=41176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941 ( 146 digits) SNFS difficulty: 146 digits. Divisors found: r1=2772341545407390176277168504286752739988576758255116308281 (pp58) r2=14852596591660026569344293574475374603014785217941966344202020052222211474146804385683861 (pp89) Version: GGNFS-0.77.1-20051202-athlon Total time: 12.83 hours. Scaled time: 18.57 units (timescale=1.447). Factorization parameters were as follows: name: KA_6_9_145_7 n: 41176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941 skew: 0.53 deg: 5 c5: 70 c0: -3 m: 100000000000000000000000000000 type: snfs rlim: 2500000 alim: 2500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 1500001) Primes: RFBsize:183072, AFBsize:182426, largePrimes:7031056 encountered Relations: rels:6506072, finalFF:476292 Max relations in full relation-set: 28 Initial matrix: 365565 x 476292 with sparse part having weight 34230439. Pruned matrix : 282716 x 284607 with weight 19056754. Total sieving time: 10.50 hours. Total relation processing time: 0.19 hours. Matrix solve time: 2.04 hours. Total square root time: 0.11 hours, sqrts: 2. Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000 total time: 12.83 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+
(86·10¹⁶²+31)/9 = 9(5)₁₆₁9_<163> = 13 · 137 · 191 · 733 · C155
C155 = P56 · P100
P56 = 15748989216219619926851701365192338858672015860064422379_<56>
P100 = 2433335515280598540281314498084827557020483327676703163289609599551700916484623909357190520150067147_<100>

Number: n N=38322574789598358592787335737630181268537088962417700159555639086291479506619682708714377535238568925490441405819861474435299782420863402913266182619482713 ( 155 digits) SNFS difficulty: 163 digits. Divisors found: r1=15748989216219619926851701365192338858672015860064422379 (pp56) r2=2433335515280598540281314498084827557020483327676703163289609599551700916484623909357190520150067147 (pp100) Version: GGNFS-0.77.1-20051202-athlon Total time: 72.01 hours. Scaled time: 86.12 units (timescale=1.196). Factorization parameters were as follows: name: KA_9_5_161_9 n: 38322574789598358592787335737630181268537088962417700159555639086291479506619682708714377535238568925490441405819861474435299782420863402913266182619482713 type: snfs skew: 0.32 deg: 5 c5: 8600 c0: 31 m: 100000000000000000000000000000000 rlim: 3600000 alim: 3600000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 3600000/3600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 2800001) Primes: RFBsize:256726, AFBsize:257352, largePrimes:7397949 encountered Relations: rels:6878522, finalFF:577657 Max relations in full relation-set: 28 Initial matrix: 514145 x 577657 with sparse part having weight 36827281. Pruned matrix : 463389 x 466023 with weight 25709396. Total sieving time: 65.41 hours. Total relation processing time: 0.31 hours. Matrix solve time: 5.74 hours. Total square root time: 0.55 hours, sqrts: 4. Prototype def-par.txt line would be: snfs,163,5,0,0,0,0,0,0,0,0,3600000,3600000,28,28,48,48,2.3,2.3,100000 total time: 72.01 hours. --------- CPU info (if available) ---------- Cygwin on AMD XP 2700+
Jul 23, 2007 (3rd): By Sinkiti Sibata / Msieve v. 1.23, GGNFS-0.77.1-20060722-pentium4
7·10¹⁴⁵-3 = 6(9)₁₄₄7_<146> = 135899 · 2882653 · 4137260381_<10> · 769330598837417_<15> · 213310674409584473_<18> · C93
C93 = P41 · P52
P41 = 38419676520928330018576887493317188578379_<41>
P52 = 6850105473822077822398812945194215058951502092829389_<52>

Sun Jul 22 08:36:10 2007 Msieve v. 1.23 Sun Jul 22 08:36:10 2007 random seeds: 3eab88d0 395fcfcd Sun Jul 22 08:36:10 2007 factoring 263178836438484716512595291995766692784822600963980076573334298726819222124062974186701180431 (93 digits) Sun Jul 22 08:36:11 2007 commencing quadratic sieve (93-digit input) Sun Jul 22 08:36:11 2007 using multiplier of 1 Sun Jul 22 08:36:11 2007 using 64kb Pentium 2 sieve core Sun Jul 22 08:36:12 2007 sieve interval: 18 blocks of size 65536 Sun Jul 22 08:36:12 2007 processing polynomials in batches of 6 Sun Jul 22 08:36:12 2007 using a sieve bound of 1923127 (71422 primes) Sun Jul 22 08:36:12 2007 using large prime bound of 232698367 (27 bits) Sun Jul 22 08:36:12 2007 using double large prime bound of 1148756443608092 (42-51 bits) Sun Jul 22 08:36:12 2007 using trial factoring cutoff of 51 bits Sun Jul 22 08:36:12 2007 polynomial 'A' values have 12 factors Mon Jul 23 02:26:32 2007 71761 relations (17892 full + 53869 combined from 964161 partial), need 71518 Mon Jul 23 02:26:37 2007 begin with 982053 relations Mon Jul 23 02:26:39 2007 reduce to 183833 relations in 10 passes Mon Jul 23 02:26:39 2007 attempting to read 183833 relations Mon Jul 23 02:26:48 2007 recovered 183833 relations Mon Jul 23 02:26:48 2007 recovered 165542 polynomials Mon Jul 23 02:26:49 2007 attempting to build 71761 cycles Mon Jul 23 02:26:49 2007 found 71761 cycles in 6 passes Mon Jul 23 02:26:55 2007 distribution of cycle lengths: Mon Jul 23 02:26:55 2007 length 1 : 17892 Mon Jul 23 02:26:55 2007 length 2 : 12817 Mon Jul 23 02:26:55 2007 length 3 : 12407 Mon Jul 23 02:26:55 2007 length 4 : 9896 Mon Jul 23 02:26:55 2007 length 5 : 7008 Mon Jul 23 02:26:55 2007 length 6 : 4784 Mon Jul 23 02:26:55 2007 length 7 : 2999 Mon Jul 23 02:26:55 2007 length 9+: 3958 Mon Jul 23 02:26:55 2007 largest cycle: 20 relations Mon Jul 23 02:26:57 2007 matrix is 71422 x 71761 with weight 4423886 (avg 61.65/col) Mon Jul 23 02:27:03 2007 filtering completed in 3 passes Mon Jul 23 02:27:03 2007 matrix is 67649 x 67713 with weight 4191481 (avg 61.90/col) Mon Jul 23 02:27:06 2007 saving the first 48 matrix rows for later Mon Jul 23 02:27:07 2007 matrix is 67601 x 67713 with weight 3220413 (avg 47.56/col) Mon Jul 23 02:27:07 2007 matrix includes 64 packed rows Mon Jul 23 02:27:07 2007 using block size 5461 for processor cache size 128 kB Mon Jul 23 02:27:07 2007 commencing Lanczos iteration Mon Jul 23 02:31:49 2007 lanczos halted after 1071 iterations Mon Jul 23 02:31:50 2007 recovered 17 nontrivial dependencies Mon Jul 23 02:31:51 2007 prp41 factor: 38419676520928330018576887493317188578379 Mon Jul 23 02:31:51 2007 prp52 factor: 6850105473822077822398812945194215058951502092829389 Mon Jul 23 02:31:51 2007 elapsed time 17:55:41
5·10¹⁶¹-3 = 4(9)₁₆₀7_<162> = 509 · 1747 · C156
C156 = P44 · P49 · P64
P44 = 84102469602460672319344905855931567246447997_<44>
P49 = 2165440703043832390582601658352828177598414559503_<49>
P64 = 3087480849537780573910857739142506288073610114206777292982835929_<64>

Number: 49997_161 N=562288649753773800272822452860531047892373454127929664437379599942871473185016581892281238789370045534134857060602346093162232645804258324402315279744226139 ( 156 digits) SNFS difficulty: 161 digits. Divisors found: r1=84102469602460672319344905855931567246447997 (pp44) r2=2165440703043832390582601658352828177598414559503 (pp49) r3=3087480849537780573910857739142506288073610114206777292982835929 (pp64) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 84.32 hours. Scaled time: 57.59 units (timescale=0.683). Factorization parameters were as follows: name: 49997_161 n: 562288649753773800272822452860531047892373454127929664437379599942871473185016581892281238789370045534134857060602346093162232645804258324402315279744226139 m: 100000000000000000000000000000000 c5: 50 c0: -3 skew: 0.57 type: snfs Factor base limits: 4500000/4500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2250000, 4250001) Primes: RFBsize:315948, AFBsize:315546, largePrimes:5795947 encountered Relations: rels:5955594, finalFF:716832 Max relations in full relation-set: 0 Initial matrix: 631559 x 716832 with sparse part having weight 35018298. Pruned matrix : 561436 x 564657 with weight 26268658. Total sieving time: 72.28 hours. Total relation processing time: 0.33 hours. Matrix solve time: 11.50 hours. Time per square root: 0.21 hours. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000 total time: 84.32 hours. --------- CPU info (if available) ----------
Jul 23, 2007 (2nd): By JMB / GMP-ECM B1=1000000
(25·10¹⁷³-7)/9 = 2(7)₁₇₃_<174> = 6169017583_<10> · 20358471981247_<14> · C151
C151 = P33 · P119
P33 = 147538874768229210393236316231919_<33>
P119 = 14990973816674434798810951647946982968321498302818159656670508001237850390226986288400829699930440359734410720309273583_<119>
(25·10¹⁶⁸-7)/9 = 2(7)₁₆₈_<169> = 467 · 1951 · 669181 · 754597 · 1164052117_<10> · 947954614376246137517748334624309_<33> · C109
C109 = P30 · P79
P30 = 927132501806373661426134175901_<30>
P79 = 5901506603211846125449705047676356701978336662915489305427354655975488018446161_<79>
(25·10¹⁸⁰-7)/9 = 2(7)₁₈₀_<181> = 29 · 1431838763_<10> · C170
C170 = P38 · P133
P38 = 18470961602412156590684680364912916293_<38>
P133 = 3621728413595020127934729686179752937236914591769684906994555969901118223512872261753854263218760544399218998367476041945127627646307_<133>
Jul 23, 2007: By Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona, GMP-ECM 6.1.2 B1=1000000
7·10¹⁴²-3 = 6(9)₁₄₁7_<143> = 41 · 684820152391010899426909_<24> · C118
C118 = P42 · P76
P42 = 293996872467290101398339992619243102794207_<42>
P76 = 8479982205197969383707708914235563099398323494880780373423205897700123689959_<76>

Number: 69997_142 N=2493088246906476884084912070409326850502294819795549558679381121592194090497586991463738201828121886276619548249267513 ( 118 digits) SNFS difficulty: 142 digits. Divisors found: r1=293996872467290101398339992619243102794207 (pp42) r2=8479982205197969383707708914235563099398323494880780373423205897700123689959 (pp76) Version: GGNFS-0.77.1-20050930-nocona Total time: 7.68 hours. Scaled time: 16.37 units (timescale=2.132). Factorization parameters were as follows: n: 2493088246906476884084912070409326850502294819795549558679381121592194090497586991463738201828121886276619548249267513 m: 10000000000000000000000000000 c5: 700 c0: -3 skew: 0.34 type: snfs Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [750000, 1250001) Primes: RFBsize:114155, AFBsize:114337, largePrimes:2621896 encountered Relations: rels:2599825, finalFF:287405 Max relations in full relation-set: 28 Initial matrix: 228559 x 287405 with sparse part having weight 18474157. Pruned matrix : 199501 x 200707 with weight 10381351. Total sieving time: 7.49 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.13 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,142,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,50000 total time: 7.68 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129) Total of 4 processors activated (19246.12 BogoMIPS).
7·10¹⁵³-3 = 6(9)₁₅₂7_<154> = 23² · 10303 · 4132288063902465163_<19> · 73545936976938384659_<20> · C109
C109 = P33 · P77
P33 = 368950902030040136294932320283019_<33>
P77 = 11454095970935197036364142614850850481119263863106296451412205403591388218697_<77>
7·10¹⁴³-3 = 6(9)₁₄₂7_<144> = 1390760561015147597115111631999_<31> · C114
C114 = P48 · P67
P48 = 176985412377038489455150177398295039807447995083_<48>
P67 = 2843859925569024851779496154354305448575151654276681477679351507241_<67>

Number: 69997_143 N=503321721669367848389014004967846324275133410824146226320877399025698826072432114856210091439057067468359606896003 ( 114 digits) SNFS difficulty: 144 digits. Divisors found: r1=176985412377038489455150177398295039807447995083 (pp48) r2=2843859925569024851779496154354305448575151654276681477679351507241 (pp67) Version: GGNFS-0.77.1-20050930-nocona Total time: 10.45 hours. Scaled time: 22.29 units (timescale=2.133). Factorization parameters were as follows: n: 503321721669367848389014004967846324275133410824146226320877399025698826072432114856210091439057067468359606896003 m: 20000000000000000000000000000 c5: 875 c0: -12 skew: 0.42 type: snfs Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [750000, 1450001) Primes: RFBsize:114155, AFBsize:114347, largePrimes:2712236 encountered Relations: rels:2714874, finalFF:310280 Max relations in full relation-set: 28 Initial matrix: 228569 x 310280 with sparse part having weight 22031944. Pruned matrix : 197851 x 199057 with weight 11694112. Total sieving time: 10.24 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.14 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,144,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,50000 total time: 10.45 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129) Total of 4 processors activated (19246.12 BogoMIPS).
7·10¹⁴⁸-3 = 6(9)₁₄₇7_<149> = 311 · 7912579919_<10> · C137
C137 = P30 · P43 · P65
P30 = 301037510767131424181611457969_<30>
P43 = 5434594245435338312688573491110293470744533_<43>
P65 = 17387286194393844709918894508724977643672044365413394191742373729_<65>

Number: 69997_148 N=28445890993355795785465713412766066538152730750893507917803289805207609319238261618681814513715015288973371527222324093744020519559325733 ( 137 digits) SNFS difficulty: 149 digits. Divisors found: r1=301037510767131424181611457969 (pp30) r2=5434594245435338312688573491110293470744533 (pp43) r3=17387286194393844709918894508724977643672044365413394191742373729 (pp65) Version: GGNFS-0.77.1-20050930-nocona Total time: 12.60 hours. Scaled time: 27.00 units (timescale=2.143). Factorization parameters were as follows: n: 28445890993355795785465713412766066538152730750893507917803289805207609319238261618681814513715015288973371527222324093744020519559325733 m: 200000000000000000000000000000 c5: 875 c0: -12 skew: 0.42 type: snfs Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved algebraic special-q in [900000, 1725001) Primes: RFBsize:135072, AFBsize:135518, largePrimes:3840968 encountered Relations: rels:3910546, finalFF:354284 Max relations in full relation-set: 28 Initial matrix: 270657 x 354284 with sparse part having weight 33819268. Pruned matrix : 244258 x 245675 with weight 20068683. Total sieving time: 12.20 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.31 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,149,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000 total time: 12.60 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129) Total of 4 processors activated (19246.12 BogoMIPS).
Jul 22, 2007 (6th): By JMB / GMP-ECM B1=1000000
(25·10¹⁶²-7)/9 = 2(7)₁₆₂_<163> = 31 · 193 · 419 · 5655980505619_<13> · C144
C144 = P30 · P114
P30 = 757834905954475759153120346779_<30>
P114 = 258512748121660648679500730489730055051223230946990605506285956104708110213970081444008373211813972771066168890501_<114>
(25·10¹⁶⁸-7)/9 = 2(7)₁₆₈_<169> = 467 · 1951 · 669181 · 754597 · 1164052117_<10> · C142
C142 = P33 · C109
P33 = 947954614376246137517748334624309_<33>
C109 = [5471478581462633018677789162246038606727580138540073007104958991038578407898337844421297328962275304272166061_<109>]
Jul 22, 2007 (5th): By Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona
7·10¹³¹-3 = 6(9)₁₃₀7_<132> = 23 · 43 · 200357 · 686073298051849_<15> · C109
C109 = P49 · P61
P49 = 3492650375317905457798484924118526607821958419517_<49>
P61 = 1474251565366503210694631337567966010127470661351122913594633_<61>

Number: 69997_131 N=5149045283090327070069279376634643521531392220622868283592793023104111216823296932910173748751679693893652261 ( 109 digits) SNFS difficulty: 131 digits. Divisors found: r1=3492650375317905457798484924118526607821958419517 (pp49) r2=1474251565366503210694631337567966010127470661351122913594633 (pp61) Version: GGNFS-0.77.1-20050930-nocona Total time: 3.06 hours. Scaled time: 6.56 units (timescale=2.144). Factorization parameters were as follows: n: 5149045283090327070069279376634643521531392220622868283592793023104111216823296932910173748751679693893652261 m: 100000000000000000000000000 c5: 70 c0: -3 skew: 0.53 type: snfs Factor base limits: 1000000/1000000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [500000, 1150001) Primes: RFBsize:78498, AFBsize:78021, largePrimes:1557428 encountered Relations: rels:1555267, finalFF:175874 Max relations in full relation-set: 28 Initial matrix: 156586 x 175874 with sparse part having weight 11502732. Pruned matrix : 150400 x 151246 with weight 8326009. Total sieving time: 2.95 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.07 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,131,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000 total time: 3.06 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129) Total of 4 processors activated (19246.12 BogoMIPS).
5·10¹⁵⁸-1 = 4(9)₁₅₈_<159> = 929 · 2039 · 195480696444471195235091_<24> · C130
C130 = P55 · P75
P55 = 3914379888823857856496565940348441055481401908952110819_<55>
P75 = 3449611726334787