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STUDIO KAMADA

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News and updates, May 2006

May 31, 2006 (4th)

By Alexander Mkrtychyan / GGNFS-0.77.1-20060513-pentium4
10¹²⁵+9 = 1(0)₁₂₄9_<126> = 7 · 13 · 384889 · 723939179 · C109
C109 = P27 · P83
P27 = 104798542417408554023904481_<27>
P83 = 37632735246204919539474660114544096567452721600807355325578711593030532758062764009_<83>

Number: 10009_125 N=3943855800982512204047076283279173934267476357842898027812986502106895423798672694305963146974921925060624329 ( 109 digits) SNFS difficulty: 125 digits. Divisors found: r1=104798542417408554023904481 (pp27) r2=37632735246204919539474660114544096567452721600807355325578711593030532758062764009 (pp83) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 1.96 hours. Scaled time: 1.68 units (timescale=0.856). Factorization parameters were as follows: n: 3943855800982512204047076283279173934267476357842898027812986502106895423798672694305963146974921925060624329 m: 10000000000000000000000000 c5: 1 c0: 9 skew: 1.55 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Sieved special-q in [400000, 600001) Relations: rels:2183785, finalFF:208639 Initial matrix: 113175 x 208639 with sparse part having weight 18310937. Pruned matrix : 100818 x 101447 with weight 4612940. Total sieving time: 1.74 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.12 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,125,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.96 hours. --------- CPU info (if available) ----------

May 31, 2006 (3rd)

By Alexander Mkrtychyan / GGNFS-0.77.1-20060513-pentium4
10¹²⁶+3 = 1(0)₁₂₅3_<127> = 523 · 219931704421459_<15> · C109
C109 = P54 · P56
P54 = 225003335227519500209690385071854069954197019410358111_<54>
P56 = 38638611863595333536671213995256267949387191415100091789_<56>

Number: 10003_126 N=8693816537870552796189791836347215234147282169892521208207622196514133941968184404004410089386067533460650579 ( 109 digits) SNFS difficulty: 126 digits. Divisors found: r1=225003335227519500209690385071854069954197019410358111 (pp54) r2=38638611863595333536671213995256267949387191415100091789 (pp56) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 2.71 hours. Scaled time: 2.32 units (timescale=0.856). Factorization parameters were as follows: n: 8693816537870552796189791836347215234147282169892521208207622196514133941968184404004410089386067533460650579 m: 10000000000000000000000000 c5: 10 c0: 3 skew: 1 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Sieved special-q in [400000, 700001) Relations: rels:2364119, finalFF:237060 Initial matrix: 113082 x 237060 with sparse part having weight 23525055. Pruned matrix : 102455 x 103084 with weight 5247156. Total sieving time: 2.45 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.14 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,126,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 2.71 hours. --------- CPU info (if available) ----------

May 31, 2006 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1 gnfs
(5·10¹⁶⁰+31)/9 = (5)₁₅₉9_<160> = 3 · 83 · 191 · 11897 · 28176527153_<11> · 18501477700637_<14> · 113560929621493_<15> · C114
C114 = P42 · P73
P42 = 110326591238035710584592040607678556416233_<42>
P73 = 1503329914327084129827562239789927074395898119591880527859360579326768337_<73>

Number: 55559_160 N=165857264953875455413997705152619856437429539839930319261236162874151164125325354773712814415336747189600137214521 ( 114 digits) Divisors found: r1=110326591238035710584592040607678556416233 (pp42) r2=1503329914327084129827562239789927074395898119591880527859360579326768337 (pp73) Version: GGNFS-0.77.1 Total time: 62.57 hours. Scaled time: 37.29 units (timescale=0.596). Factorization parameters were as follows: name: 55559_160 n: 165857264953875455413997705152619856437429539839930319261236162874151164125325354773712814415336747189600137214521 skew: 66068.60 # norm 7.20e+15 c5: 3600 c4: -247115952 c3: 212958230220305 c2: -666236161802342372 c1: -347144910357299009278472 c0: -149742468887770791438169544 # alpha -5.62 Y1: 269559540643 Y0: -8564195791010614904981 # Murphy_E 5.45e-10 # M 48686816090489950110783223909642057313547960725390427311092854386814467166976067367315514213453959993934165254017 type: gnfs rlim: 3500000 alim: 3500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [1750000, 2950001) Relations: rels:7451217, finalFF:605225 Initial matrix: 500754 x 605225 with sparse part having weight 50049963. Pruned matrix : 460141 x 462708 with weight 28300107. Total sieving time: 53.74 hours. Total relation processing time: 0.63 hours. Matrix solve time: 7.64 hours. Time per square root: 0.57 hours. Prototype def-par.txt line would be: gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000 total time: 62.57 hours. --------- CPU info (if available) ----------

May 31, 2006

By Makoto Kamada / GGNFS-0.77.1-20060513-pentium4
10¹³⁷+3 = 1(0)₁₃₆3_<138> = C138
C138 = P36 · P45 · P58
P36 = 485528403184829992818506125204327553_<36>
P45 = 148422974169957271956708475508014083532747879_<45>
P58 = 1387663704324682066869289940523411644503592736304905992069_<58>

Number: 10003_137 N=100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003 ( 138 digits) SNFS difficulty: 137 digits. Divisors found: r1=485528403184829992818506125204327553 (pp36) r2=148422974169957271956708475508014083532747879 (pp45) r3=1387663704324682066869289940523411644503592736304905992069 (pp58) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 8.57 hours. Scaled time: 7.53 units (timescale=0.879). Factorization parameters were as follows: n: 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003 m: 1000000000000000000000000000 c5: 100 c0: 3 skew: 1 type: snfs Factor base limits: 1000000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 43/43 Sieved algebraic special-q in [400000, 1525001) Primes: RFBsize:78498, AFBsize:64158, largePrimes:1561033 encountered Relations: rels:1553398, finalFF:160894 Max relations in full relation-set: 28 Initial matrix: 142720 x 160894 with sparse part having weight 14946696. Pruned matrix : 137740 x 138517 with weight 11497237. Total sieving time: 7.96 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.50 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,137,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 8.57 hours. --------- CPU info (if available) ----------

May 30, 2006 (8th)

By Wojciech Florek / GMP-ECM 6.0.1 B1=250000
10¹⁶⁵+3 = 1(0)₁₆₄3_<166> = 38239 · 1693194240447509_<16> · C146
C146 = P31 · P115
P31 = 1588184880884744278485835046657_<31>
P115 = 9724910962239622540990620193028590711568046948990342160048211399738346880582051939871864183726938718963260603503529_<115>

May 30, 2006 (7th)

By Kazumaro Aoki / GMP-ECM
10²⁸³+1 = 1(0)₂₈₂1_<284> = 11 · 1699 · 241117 · 61945573305222690279363663578823967_<35> · 151168348012920493188164812150408056175148228488823_<51> · C189
C189 = P47 · P142
P47 = 49019999488937337866558715558211303750925973449_<47>
P142 = 4834389726736518293852244130660191969670797610633948645694761977558159678896763591712097243317272920296826630341374217553659008741548305187653_<142>
Reference: Factorizations of Repunit Numbers (Yousuke Koide)

May 30, 2006 (6th)

By Wojciech Florek / Msieve v. 1.03
10¹³⁹+3 = 1(0)₁₃₈3_<140> = 13 · 327203583643_<12> · 21557806404758500426320572531_<29> · C99
C99 = P46 · P54
P46 = 1048720107311272779271661501804277089838257303_<46>
P54 = 103985894904565220127485054041767990985479311662142569_<54>

Tue May 30 01:53:59 2006 Msieve v. 1.03 Tue May 30 01:53:59 2006 random seeds: e5a24ffa 3215051b Tue May 30 01:53:59 2006 factoring 109052098863174370952569599747648629418311788803478577891274670334454933699104045854505718091431407 (99 digits) Tue May 30 01:54:00 2006 using multiplier of 17 Tue May 30 01:54:00 2006 sieve interval: 9 blocks of size 65536 Tue May 30 01:54:00 2006 processing polynomials in batches of 6 Tue May 30 01:54:00 2006 using a sieve bound of 2538791 (92941 primes) Tue May 30 01:54:00 2006 using large prime bound of 380818650 (28 bits) Tue May 30 01:54:00 2006 using double large prime bound of 2787999993955500 (43-52 bits) Tue May 30 01:54:00 2006 using trial factoring cutoff of 57 bits Tue May 30 01:54:00 2006 polynomial 'A' values have 13 factors Tue May 30 09:38:34 2006 93395 relations (22839 full + 70556 combined from 1378715 partial), need 93037 Tue May 30 09:38:35 2006 begin with 1378715 relations Tue May 30 09:38:36 2006 reduce to 218992 relations in 11 passes Tue May 30 09:38:36 2006 attempting to read 22839 full and 218992 partial relations Tue May 30 09:38:41 2006 recovered 22839 full and 218992 partial relations Tue May 30 09:38:41 2006 recovered 230899 polynomials Tue May 30 09:38:41 2006 attempting to build 70556 cycles Tue May 30 09:38:41 2006 found 70556 cycles in 6 passes Tue May 30 09:38:42 2006 distribution of cycle lengths: Tue May 30 09:38:42 2006 length 2 : 16484 Tue May 30 09:38:42 2006 length 3 : 16165 Tue May 30 09:38:42 2006 length 4 : 12533 Tue May 30 09:38:42 2006 length 5 : 9319 Tue May 30 09:38:42 2006 length 6 : 6470 Tue May 30 09:38:42 2006 length 7 : 4127 Tue May 30 09:38:42 2006 length 8 : 2464 Tue May 30 09:38:42 2006 length 9+: 2994 Tue May 30 09:38:42 2006 largest cycle: 21 relations Tue May 30 09:38:42 2006 92941 x 93005 system, weight 6096558 (avg 65.55/col) Tue May 30 09:38:42 2006 reduce to 91325 x 91389 in 3 passes Tue May 30 09:42:18 2006 lanczos halted after 1447 iterations Tue May 30 09:42:18 2006 recovered 62 nontrivial dependencies Tue May 30 09:43:31 2006 prp46 factor: 1048720107311272779271661501804277089838257303 Tue May 30 09:43:31 2006 prp54 factor: 103985894904565220127485054041767990985479311662142569 Tue May 30 09:43:32 2006 elapsed time 07:49:33

May 30, 2006 (5th)

By Alexander Mkrtychyan / GGNFS-0.77.1-20060513-pentium4
10¹²⁴+3 = 1(0)₁₂₃3_<125> = 7 · 43 · 8179 · 23257479000261691_<17> · C102
C102 = P42 · P60
P42 = 278215836815846300810499872638251601851541_<42>
P60 = 627753020605636868785440299879864836902467148030812554348147_<60>

Number: 10003_124 N=174650831941472467445289919450500673291473034301660439617172819294158790322600074782094487475522444527 ( 102 digits) SNFS difficulty: 125 digits. Divisors found: r1=278215836815846300810499872638251601851541 (pp42) r2=627753020605636868785440299879864836902467148030812554348147 (pp60) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 2.02 hours. Scaled time: 1.30 units (timescale=0.640). Factorization parameters were as follows: n: 174650831941472467445289919450500673291473034301660439617172819294158790322600074782094487475522444527 m: 10000000000000000000000000 c5: 1 c0: 30 skew: 1.97 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Sieved special-q in [400000, 600001) Relations: rels:2190943, finalFF:218685 Initial matrix: 113035 x 218685 with sparse part having weight 19064751. Pruned matrix : 99519 x 100148 with weight 4369458. Total sieving time: 1.81 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.12 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,125,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 2.02 hours. --------- CPU info (if available) ----------

May 30, 2006 (4th)

By Makoto Kamada / GGNFS-0.77.1-20060513-pentium4
10¹¹⁶+9 = 1(0)₁₁₅9_<117> = 111256744554457_<15> · C102
C102 = P28 · P28 · P47
P28 = 3052729705599278798406752741_<28>
P28 = 5505231043723870085469276793_<28>
P47 = 53482259761111102005149456829292624252000374149_<47>

Number: 10009_116 N=898821913228396280023466116957629527519011387394111616097834533727168556480812558017319934505640764337 ( 102 digits) SNFS difficulty: 116 digits. Divisors found: r1=3052729705599278798406752741 (pp28) r2=5505231043723870085469276793 (pp28) r3=53482259761111102005149456829292624252000374149 (pp47) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 1.32 hours. Scaled time: 1.17 units (timescale=0.880). Factorization parameters were as follows: n: 898821913228396280023466116957629527519011387394111616097834533727168556480812558017319934505640764337 m: 100000000000000000000000 c5: 10 c0: 9 skew: 1 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 500001) Primes: RFBsize:49098, AFBsize:64158, largePrimes:1940389 encountered Relations: rels:1896820, finalFF:138845 Max relations in full relation-set: 28 Initial matrix: 113323 x 138845 with sparse part having weight 10525760. Pruned matrix : 102932 x 103562 with weight 6044808. Total sieving time: 1.08 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.17 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,116,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.32 hours. --------- CPU info (if available) ----------

May 30, 2006 (3rd)

By Makoto Kamada / GGNFS-0.77.1-20060513-pentium4
10¹¹⁶+3 = 1(0)₁₁₅3_<117> = 613 · 5581 · C110
C110 = P32 · P39 · P40
P32 = 31409912863227233240324396659219_<32>
P39 = 285562837995982349446361585842661944753_<39>
P40 = 3258810312307206854209463561699139379393_<40>

Number: 10003_116 N=29229911670129924034382560499340427043163518264164157522332383263771015210369135785508569771653007041778020451 ( 110 digits) SNFS difficulty: 116 digits. Divisors found: r1=31409912863227233240324396659219 (pp32) r2=285562837995982349446361585842661944753 (pp39) r3=3258810312307206854209463561699139379393 (pp40) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 1.75 hours. Scaled time: 1.54 units (timescale=0.879). Factorization parameters were as follows: n: 29229911670129924034382560499340427043163518264164157522332383263771015210369135785508569771653007041778020451 m: 100000000000000000000000 c5: 10 c0: 3 skew: 1 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 550001) Primes: RFBsize:49098, AFBsize:63918, largePrimes:2331143 encountered Relations: rels:2714082, finalFF:499083 Max relations in full relation-set: 28 Initial matrix: 113082 x 499083 with sparse part having weight 42387208. Pruned matrix : 65921 x 66550 with weight 6428247. Total sieving time: 1.57 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.09 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,116,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.75 hours. --------- CPU info (if available) ----------

May 30, 2006 (2nd)

By Makoto Kamada / GGNFS-0.77.1-20060513-pentium4
10¹¹⁴+9 = 1(0)₁₁₃9_<115> = 61 · 197 · C110
C110 = P41 · P70
P41 = 28209372385446691031827707934227981145697_<41>
P70 = 2949921878782510902524946201902765360019176183479097760119909220054841_<70>

Number: 10009_114 N=83215444786552384122493134725805109428309894316385121078472164433718898227511026046434218190896230340351169177 ( 110 digits) SNFS difficulty: 115 digits. Divisors found: r1=28209372385446691031827707934227981145697 (pp41) r2=2949921878782510902524946201902765360019176183479097760119909220054841 (pp70) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 1.29 hours. Scaled time: 1.14 units (timescale=0.879). Factorization parameters were as follows: n: 83215444786552384122493134725805109428309894316385121078472164433718898227511026046434218190896230340351169177 m: 100000000000000000000000 c5: 1 c0: 90 skew: 2.46 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 400000) Primes: RFBsize:49098, AFBsize:64158, largePrimes:2037023 encountered Relations: rels:2085053, finalFF:208794 Max relations in full relation-set: 28 Initial matrix: 113320 x 208794 with sparse part having weight 16430199. Pruned matrix : 86059 x 86689 with weight 4402841. Total sieving time: 1.12 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.10 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,115,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.29 hours. --------- CPU info (if available) ----------

May 30, 2006

By Makoto Kamada / GGNFS-0.77.1-20060513-pentium4
10¹¹¹+3 = 1(0)₁₁₀3_<112> = 22483 · C107
C107 = P49 · P59
P49 = 3811103616383696520035255018963138889550371472027_<49>
P59 = 11670648336895389594887395705639732998619139278066767263683_<59>

Number: 10003_111 N=44478050082284392652226126406618333852243917626651247609304808077213894942845705644264555441889427567495441 ( 107 digits) SNFS difficulty: 111 digits. Divisors found: r1=3811103616383696520035255018963138889550371472027 (pp49) r2=11670648336895389594887395705639732998619139278066767263683 (pp59) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 1.46 hours. Scaled time: 1.26 units (timescale=0.864). Factorization parameters were as follows: n: 44478050082284392652226126406618333852243917626651247609304808077213894942845705644264555441889427567495441 m: 10000000000000000000000 c5: 10 c0: 3 skew: 1 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 500001) Primes: RFBsize:49098, AFBsize:63918, largePrimes:2285539 encountered Relations: rels:2658142, finalFF:499848 Max relations in full relation-set: 28 Initial matrix: 113082 x 499848 with sparse part having weight 39448818. Pruned matrix : 61151 x 61780 with weight 5357858. Total sieving time: 1.31 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.06 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,111,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.46 hours. --------- CPU info (if available) ----------

May 29, 2006 (2nd)

100...003 and 100...009 have been extended to n=200. The factors contained in 100...003, 100...009, 99...991 and 99...997 are shared with Wojciech Florek's Numbers b^n +/- (b-1).

May 29, 2006

By Alexander Mkrtychyan / ggnfs-0.77.1-20050930-win32, ggnfs-0.77.1-20060513-win32 gnfs
(10¹⁷⁷+17)/9 = (1)₁₇₆3_<177> = 79 · 199 · 337 · 1892299672990464278460298053559_<31> · C140
C140 = P41 · P99
P41 = 30718605547911357038884474798678757669593_<41>
P99 = 360791261643161040204601470623121686876253222118849993349356095607539068590369608206576778840865487_<99>

From dependence 0, sqrt obtained: r1=30718605547911357038884474798678757669593 (pp41) r2=360791261643161040204601470623121686876253222118849993349356095607539068590369608206576778840865487 (pp99) Sieving time: ~100hrs 3x(2xXeon 2GHz HT) Special-q: [3700000;4285000)U[4700000;5285000)U[5700000;6275000)U[6700000;7275000)U[7700000;8275000)U[8700000;9275000) Matbuild time: 1h 13m (P4 3GHz) Matsolve time: 65hrs (Xeon 2GHz) SQRT time: 23m (Xeon 2GHz)

May 28, 2006

By Sinkiti Sibata / GGNFS-0.77.1 gnfs
(10¹⁸⁷-7)/3 = (3)₁₈₆1_<187> = 353 · 280452841 · 1622017637_<10> · 6455829493_<10> · 8153771179_<10> · 8323772467_<10> · 13844844491_<11> · 133121560007_<12> · C116
C116 = P32 · P85
P32 = 17112512897645193474162457303709_<32>
P85 = 1502130221517405323788789034763018633547019554207566438289495865206761369751410755243_<85>

Number: 33331_187 N=25705222789659230129577349579323241908332956518982930455730238052034344376144780365717653648473188667077721115096287 ( 116 digits) Divisors found: r1=17112512897645193474162457303709 (pp32) r2=1502130221517405323788789034763018633547019554207566438289495865206761369751410755243 (pp85) Version: GGNFS-0.77.1 Total time: 74.90 hours. Scaled time: 44.64 units (timescale=0.596). Factorization parameters were as follows: name: 33331_187 n: 25705222789659230129577349579323241908332956518982930455730238052034344376144780365717653648473188667077721115096287 skew: 72066.11 # norm 4.77e+15 c5: 16020 c4: 1079678044 c3: -226377956377577 c2: -3869740926659501127 c1: 593017781651556008797213 c0: 556666633407509921583325059 # alpha -5.61 Y1: 29630664371 Y0: -17420947106597594755066 # Murphy_E 4.96e-10 # M 19075954865955788364877833372874227080287775471724129794572307966875364161158480220873129933185096115271356398268504 type: gnfs rlim: 4500000 alim: 4500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 qintsize: 60000 Factor base limits: 4500000/4500000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [2250000, 3630001) Relations: rels:7413410, finalFF:711122 Initial matrix: 631991 x 711122 with sparse part having weight 52523327. Pruned matrix : 591074 x 594297 with weight 34326604. Polynomial selection time: 1.58 hours. Total sieving time: 60.71 hours. Total relation processing time: 0.96 hours. Matrix solve time: 11.04 hours. Time per square root: 0.62 hours. Prototype def-par.txt line would be: gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000 total time: 74.90 hours. --------- CPU info (if available) ----------

May 27, 2006

By Tyler Cadigan / PRIMO 2.2.0 beta 5, PRIMO 2.2.0 beta 6
(13·10³⁸⁸³+23)/9 = 144...447_<3884> and (13·10³⁸⁸³+41)/9 = 144...449_<3884> are twin primes. PRIMO took 61 days to certify them. These numbers are the new largest known quasi-repdigit twin primes in our tables. Congratulations!

[PRIMO - Primality Certificate] Version=2.2.0 beta 5 WebSite=http://www.ellipsa.net/ Format=3 ID=B2CD301B487E4 Created=03/01/2006 07:58:02 AM TestCount=555 Status=Candidate certified prime [Running Times] Initialization=1mn 13s 1stPhase=717h 33mn 5s 2ndPhase=199h 0mn 10s Total=916h 34mn 29s

[PRIMO - Primality Certificate] Version=2.2.0 beta 6 WebSite=http://www.ellipsa.net/ Format=3 ID=B2D1401C3126D Created=05/04/2006 08:13:59 am TestCount=525 Status=Candidate certified prime [Running Times] Initialization=1mn 17s 1stPhase=435h 46mn 42s 2ndPhase=120h 53mn 59s Total=556h 42mn 0s

May 26, 2006

By Alexander Mkrtychyan / ggnfs-0.77.1-20050930-win32, ggnfs-0.77.1-20060513-win32 gnfs
(10¹⁸⁰+17)/9 = (1)₁₇₉3_<180> = 6949 · 135862068644287_<15> · 21633659135200744087543_<23> · 57990409560719099220689_<23> · C116
C116 = P58 · P59
P58 = 1382900513606693483258913500529894818988671399169846834029_<58>
P59 = 67835941890955693798711513601062800007163705809229580442097_<59>

From dependence 2, sqrt obtained: r1=67835941890955693798711513601062800007163705809229580442097 (pp59) r2=1382900513606693483258913500529894818988671399169846834029 (pp58) --- name: 11113_180 n: 93810358881996442890482228144067883749540447348259571159075789651402467670223973413339539712829879169409153603718813 skew: 175108.69 # norm 1.75e+016 c5: 5400 c4: -1726380600 c3: -432331060735484 c2: 49069046496066798379 c1: 6386726768458004938997316 c0: -195736233629971911011199858171 # alpha -6.42 Y1: 118668961433 Y0: -28052497025194315455812 # Murphy_E 4.47e-010 # M 21556650053594647587355239452989933796097336626550949729236432534682743476314564571653393032526111986106295322015595 type: gnfs rlim: 4200000 alim: 4200000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 special-q: [2100000;3300000) U [3800000;4050000) largePrimes: 7643593 , relations: 7698454, finalFF:735738 Pruning matrix with wt=0.700 Initial matrix is 592789 x 735738 with sparse part having weight 60694738. (total weight is 105658690) Matrix pruned to 534537 x 537564 with weight 32218417. Matrix solve time: 11 hrs Each dependency: 24 min

May 25, 2006

By Sinkiti Sibata / GGNFS-0.77.1 gnfs
6·10¹⁵⁴-1 = 5(9)_154<155> = 57413 · 33391993 · 394480713417379755453806059_<27> · C116
C116 = P55 · P62
P55 = 5080508476226699401820394941107809615305588790497635369_<55>
P62 = 15615853062739861486377064170042789464317919964935221145123641_<62>

Number: 59999_154 N=79336473848760530612842941919437624337465023282039573568924868671690972576856766205762376956791968689234595639658529 ( 116 digits) Divisors found: r1=5080508476226699401820394941107809615305588790497635369 (pp55) r2=15615853062739861486377064170042789464317919964935221145123641 (pp62) Version: GGNFS-0.77.1 Total time: 71.45 hours. Scaled time: 42.59 units (timescale=0.596). Factorization parameters were as follows: name: 59999_154 n: 79336473848760530612842941919437624337465023282039573568924868671690972576856766205762376956791968689234595639658529 skew: 84818.07 # norm 2.28e+16 c5: 29880 c4: 7478564061 c3: -707415992953978 c2: -45326205609016815484 c1: 1923709240675668423295402 c0: 33553695631315758691438543975 # alpha -7.35 Y1: 1705761963619 Y0: -19267108168052096703534 # Murphy_E 5.23e-10 # M 66752713575719543916592226157126688247860915181985985556033446618000744146215247187696635904247103461998592722806763 type: gnfs rlim: 4500000 alim: 4500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 qintsize: 60000 Factor base limits: 4500000/4500000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [2250000, 3570001) Relations: rels:7595337, finalFF:785196 Initial matrix: 631739 x 785196 with sparse part having weight 56191010. Pruned matrix : 561458 x 564680 with weight 27895824. Total sieving time: 60.75 hours. Total relation processing time: 1.09 hours. Matrix solve time: 9.02 hours. Time per square root: 0.60 hours. Prototype def-par.txt line would be: gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000 total time: 71.45 hours. --------- CPU info (if available) ----------

May 22, 2006

By Sinkiti Sibata / GGNFS-0.77.1 gnfs
(22·10¹⁵⁸-1)/3 = 7(3)_158<159> = 140489219953_<12> · 35002292573981_<14> · 12758191547884466113_<20> · C116
C116 = P46 · P70
P46 = 5876416527844272249936979378582409414757015853_<46>
P70 = 1989116612667541745797449592887591507231608864101217927853626043037229_<70>

Number: 73333_158 N=11688877738489155829430414188785043880605496839583412226210933921576972975907322546275114248757018500186648622191337 ( 116 digits) Divisors found: r1=5876416527844272249936979378582409414757015853 (pp46) r2=1989116612667541745797449592887591507231608864101217927853626043037229 (pp70) Version: GGNFS-0.77.1 Total time: 78.52 hours. Scaled time: 46.80 units (timescale=0.596). Factorization parameters were as follows: name: 73333_158 n: 11688877738489155829430414188785043880605496839583412226210933921576972975907322546275114248757018500186648622191337 skew: 59680.44 # norm 3.24e+16 c5: 20880 c4: -14234941084 c3: -306085187616580 c2: 23180516622910676703 c1: -735129018559166322145374 c0: 4488697936590608689274471535 # alpha -6.93 Y1: 486245336687 Y0: -14112712835610901808786 # Murphy_E 4.83e-10 # M 2568106766109560019945838462360232314677097972922575724213417769912041924975690663254191959635629891932025334885188 type: gnfs rlim: 4500000 alim: 4500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 qintsize: 60000 Factor base limits: 4500000/4500000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [2250000, 3690001) Relations: rels:7460294, finalFF:721699 Initial matrix: 631607 x 721699 with sparse part having weight 54496744. Pruned matrix : 587098 x 590320 with weight 34434946. Polynomial selection time: 1.53 hours. Total sieving time: 64.01 hours. Total relation processing time: 1.17 hours. Matrix solve time: 11.13 hours. Time per square root: 0.67 hours. Prototype def-par.txt line would be: gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000 total time: 78.52 hours. --------- CPU info (if available) ----------

May 19, 2006

By Yousuke Koide / GMP-ECM
10¹⁴⁹⁰+1 = 1(0)₁₄₈₉1_<1491> = 101 · 3541 · 8941 · 10729 · 27961 · 62581 · 607921 · 14118155281_<11> · 4672884738461_<13> · 72286688991301_<14> · 171815892427926701_<18> · 136916416686052955621_<21> · 2336398996447692315465181_<25> · [110870679844269144354635709949582391774770890704083103791132633566371413253392265378550591815806580691669808595307539634355488864836833845471616794677024940025967620229919340559408262151273358247434378152195260280636870443948931086228877135378433246056449430881437009_<267>] · C533 · [1351888791527812046439213882009622550983970447446930813907281321570614318590099348850147937665737601917016027689304215555619864311672420525464165912633730679733873139241622895458014281474880533521107162485558617384106966419668546077494971073918410836418351615825596959802566688270975816957817343681670940963553941306251076786071118381886951748734183323759331738970862212863946579098193981677634489961869774727417167109001620173536142186561428201966969394669482772192463087452587648096715535089953833204308363926463253547939370366391026176469926869119483259090839941_<565>]
C533 = P32 · C502
P32 = 43449727365272099794386367962241_<32>
C502 = [1605214440709619357797351581919800889833597416421394148739815672950024771161380823847360755208273655227157019000219766490046550207325155036864476602837123952047383195091299758360303040822482624716944164463773873136231905729534814986307576307291846151794615420341552185181793289760376366513402259834628028778708825939521820938434639815230158850634413284564675945198522078882483236008364966125191436705573836033815481341830782769681163394145324260216840198126909976526595416165428782222227927578041059481_<502>]
Reference: Factorizations of Repunit Numbers (Yousuke Koide)

May 18, 2006

By Sinkiti Sibata / GGNFS-0.77.1 gnfs
6·10¹⁵³-1 = 5(9)_153<154> = 7² · 11923 · 10612859 · 331784113069_<12> · 453413972988539_<15> · C115
C115 = P54 · P62
P54 = 210419824853341366020370755446106047880424773709398731_<54>
P62 = 30570327461743607247656827644966362380207522643930113459529683_<62>

Number: 59999_153 N=6432602950209381566071417300565692922172746250322495126280992600135969399574714874192832413021554182913335977032273 ( 115 digits) Divisors found: r1=210419824853341366020370755446106047880424773709398731 (pp54) r2=30570327461743607247656827644966362380207522643930113459529683 (pp62) Version: GGNFS-0.77.1 Total time: 74.60 hours. Scaled time: 49.61 units (timescale=0.665). Factorization parameters were as follows: name: 59999_153 n: 6432602950209381566071417300565692922172746250322495126280992600135969399574714874192832413021554182913335977032273 skew: 105280.31 # norm 6.40e+15 c5: 3360 c4: 1711138388 c3: -142704087242572 c2: -16509405547813587843 c1: 579448197690139623628968 c0: 15834339481339862133738235344 # alpha -6.16 Y1: 916937538077 Y0: -18047092579177005337355 # Murphy_E 5.51e-10 # M 4649560124782638886169002085810032125698866907620478245677898408391415163706005214228115241540314236068560646898293 type: gnfs rlim: 3500000 alim: 3500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [1750000, 3150001) Relations: rels:7537636, finalFF:591893 Initial matrix: 500171 x 591893 with sparse part having weight 53046021. Pruned matrix : 466490 x 469054 with weight 32722150. Total sieving time: 65.33 hours. Total relation processing time: 0.80 hours. Matrix solve time: 7.93 hours. Time per square root: 0.53 hours. Prototype def-par.txt line would be: gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000 total time: 74.60 hours. --------- CPU info (if available) ----------

May 15, 2006

By Sinkiti Sibata / GGNFS-0.77.1 gnfs
(10¹⁷¹+11)/3 = (3)₁₇₀7_<171> = 92679287 · 994403167 · 417175914199627907_<18> · 42988602995074769083067_<23> · C114
C114 = P42 · P72
P42 = 532370738642252747881930955732927552264431_<42>
P72 = 378832148738346714803246790370049786475497092748031158119297214036870927_<72>

Number: 33337_171 N=201679150845265397972899579405414196358211817136533655146698091272809044950702835327119509077953012871064520097537 ( 114 digits) Divisors found: r1=532370738642252747881930955732927552264431 (pp42) r2=378832148738346714803246790370049786475497092748031158119297214036870927 (pp72) Version: GGNFS-0.77.1 Total time: 60.55 hours. Scaled time: 36.21 units (timescale=0.598). Factorization parameters were as follows: name: 33337_171 n: 201679150845265397972899579405414196358211817136533655146698091272809044950702835327119509077953012871064520097537 skew: 64839.26

May 12, 2006

By Sinkiti Sibata / GGNFS-0.77.1 gnfs
(8·10¹⁹⁴-17)/9 = (8)₁₉₃7_<194> = 3 · 457 · 7442198479_<10> · 1853420236219_<13> · 47262295153011259_<17> · 15350897443886512393_<20> · 64765061725005467929_<20> · C114
C114 = P34 · P80
P34 = 6480369962419216676886015131553803_<34>
P80 = 15436388905337558778371403302481752050799648156400720007183437167938419834568313_<80>

Number: 88887_194 N=100033510990370769037783221436892148654237355566140936043342879059476911987097644903473741174361430890787438444339 ( 114 digits) Divisors found: r1=6480369962419216676886015131553803 (pp34) r2=15436388905337558778371403302481752050799648156400720007183437167938419834568313 (pp80) Version: GGNFS-0.77.1 Total time: 59.27 hours. Scaled time: 39.41 units (timescale=0.665). Factorization parameters were as follows: name: 88887_194 n: 100033510990370769037783221436892148654237355566140936043342879059476911987097644903473741174361430890787438444339 skew: 94843.55 # norm 3.78e+15 c5: 6720 c4: -454079855 c3: -166276676958541 c2: 4321868868486253437 c1: 621457987802746553015556 c0: -5759405241914086523773708032 # alpha -5.97 Y1: 1235364142463 Y0: -6832132952966350514215 # Murphy_E 6.59e-10 # M 53414084420105239531409507853870439225520878623788372429017774638301052821831186082132921294698619636722904152636 type: gnfs rlim: 3500000 alim: 3500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [1750000, 2850001) Relations: rels:7428947, finalFF:618021 Initial matrix: 501237 x 618021 with sparse part having weight 51636023. Pruned matrix : 454628 x 457198 with weight 27725778. Polynomial selection time: 0.75 hours. Total sieving time: 50.46 hours. Total relation processing time: 0.67 hours. Matrix solve time: 6.82 hours. Time per square root: 0.57 hours. Prototype def-par.txt line would be: gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000 total time: 59.27 hours. --------- CPU info (if available) ----------

May 9, 2006

By Sinkiti Sibata / GGNFS-0.77.1 gnfs
(64·10¹⁸⁷-1)/9 = 7(1)_187<188> = 3059423027_<10> · 774835058906615644573_<21> · 2096821980403022549357_<22> · 46631924364211658379013_<23> · C114
C114 = P34 · P80
P34 = 3085197246316846058441513572039351_<34>
P80 = 99439936186422677023881388364394444639121093342721552571149678501567263064669351_<80>

Number: 71111_187 N=306791817296274137578369995378342769784629428227128004530748464743913733873267850246802709850429363527789575631201 ( 114 digits) Divisors found: r1=3085197246316846058441513572039351 (pp34) r2=99439936186422677023881388364394444639121093342721552571149678501567263064669351 (pp80) Version: GGNFS-0.77.1 Total time: 66.32 hours. Scaled time: 44.11 units (timescale=0.665). Factorization parameters were as follows: name: 71111_187 n: 306791817296274137578369995378342769784629428227128004530748464743913733873267850246802709850429363527789575631201 skew: 72723.60 # norm 8.36e+15 c5: 4200 c4: 1314878496 c3: 29893165368154 c2: 5806505690884697260 c1: -80974786490363044819303 c0: -2809595739939450546389912905 # alpha -5.91 Y1: 506287004443 Y0: -9391120872173951113476 # Murphy_E 5.91e-10 # M 64411780652946857169721256341933818960526809823175485053028889724667874325524578817371689180174804384560712691116 type: gnfs rlim: 3500000 alim: 3500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [1750000, 3050001) Relations: rels:7784965, finalFF:703564 Initial matrix: 500178 x 703564 with sparse part having weight 64780933. Pruned matrix : 427184 x 429748 with weight 27215548. Polynomial selection time: 0.52 hours. Total sieving time: 58.35 hours. Total relation processing time: 0.75 hours. Matrix solve time: 6.21 hours. Time per square root: 0.49 hours. Prototype def-par.txt line would be: gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000 total time: 66.32 hours. --------- CPU info (if available) ----------

May 8, 2006

By Yousuke Koide / GMP-ECM
10¹⁰⁰⁵+1 = 1(0)₁₀₀₄1_<1006> = 7 · 11 · 13 · 211 · 241 · 2011 · 2161 · 7237 · 9091 · 667321 · 248807851 · 7261216121_<10> · 17830074841_<11> · 851109498533797_<15> · 45360300267343173645804799921_<29> · 909090909090909090909090909090909090909090909090909090909090909091_<66> · 220589842618680198991086731354678488275926380957742565496334997548411735059_<75> · 302763019793435602569276039549096923630299122171140405303248730561741324305632792351835552866724155290700915085510738521559595248967375329278966176208018813174111240588000435579287968883246599299199382818469156370627492652751047813638818869931_<243> · C523
C523 = P34 · C489
P34 = 5106142986008803018248662015009851_<34>
C489 = [267065612248820557472520439776822436976316860200284961217319474767187378351419204646394707262722878914653395748869244344163867301798774915535042661263712198199655751422924668127752305623311241735515907241278561718322243002304418362598142142784047872257429459694724497453620868115224924909852592025982594685275509236743201047056443487859885626143200492047910061842042588027369301270574181306219963521753550999023466384773034942701929137632741459562769524551431233366749180168445321428112521_<489>]
(10¹⁰⁹⁵-1)/9 = (1)_1095<1095> = 3 · 31 · 37 · 41 · 271 · 439 · 2906161 · 30528601 · 743778751 · 2212293763_<10> · 12171337159_<11> · 1399205517511_<13> · 99519941206321_<14> · 1855193842151350117_<19> · 49207341634646326934001739482502131487446637_<44> · 39316310783659104892252157287077969239619734325044334592964583271_<65> · 23593748551050409936688015200253053030029532433958916533719315706853_<68> · [900009000090000900009000090000900009000090000900009000090000900009000090090900909009090090900909009090090900909009090090900909009090090900909009099090990909909099090990909909099090990909909099090990909909099090990909909999099990999909999099990999909999099990999909999099990999909999099991_<288>] · C534
C534 = P36 · C499
P36 = 140932038048905130657965837325339961_<36>
C499 = [2490959198534119854148888244888389656922469923333114578224491510740768956555767426487650605866819367218146558537719339947893409283320637700994215368076762244767408218909879904099720709997732498013277342080382591987824100057995391141148714118030303561287868930859755521892342961834650557591057337986666940122597723149999708447139377583307317514714358416876794090235604232173146119518484368738494673569394646876952276579416547854836399176089562703592384079831887087898586536197356767893761165757641671_<499>]
Reference: Factorizations of Repunit Numbers (Yousuke Koide)

May 6, 2006

By Sinkiti Sibata / GGNFS-0.77.1 gnfs
10¹⁷⁶-3 = (9)₁₇₅7_<176> = 1630871011403_<13> · 274954356330508669_<18> · 6165326947505579813146109111140967_<34> · C113
C113 = P53 · P61
P53 = 15902473362316519828155848907387241210869028241932019_<53>
P61 = 2274568355541311973196278737571018169468417735311027313697927_<61>

Number: 99997_176 N=36171262684763804729310148527389239248018395875233064507433824238903582995595207747275554709544383072041835224613 ( 113 digits) Divisors found: r1=15902473362316519828155848907387241210869028241932019 (pp53) r2=2274568355541311973196278737571018169468417735311027313697927 (pp61) Version: GGNFS-0.77.1 Total time: 49.15 hours. Scaled time: 31.46 units (timescale=0.640). Factorization parameters were as follows: name: 99997_176 n: 36171262684763804729310148527389239248018395875233064507433824238903582995595207747275554709544383072041835224613 skew: 21661.12 # norm 1.39e+15 c5: 18480 c4: -1274308388 c3: -2753156212614 c2: -566135503557535436 c1: -1770382572121760880459 c0: 12586420686444448843600627 # alpha -5.30 Y1: 186177921679 Y0: -4553366263117725452040 # Murphy_E 7.67e-10 # M 6503063031704603377893240417849562075913973347253991849218632153429208960877388456019300122795172030561087003516 type: gnfs rlim: 3500000 alim: 3500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [1750000, 2650001) Relations: rels:7231586, finalFF:566384 Initial matrix: 501020 x 566384 with sparse part having weight 46763514. Pruned matrix : 469008 x 471577 with weight 31217684. Total sieving time: 40.71 hours. Total relation processing time: 0.63 hours. Matrix solve time: 7.33 hours. Time per square root: 0.47 hours. Prototype def-par.txt line would be: gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000 total time: 49.15 hours. --------- CPU info (if available) ----------

May 4, 2006

By Sinkiti Sibata / GGNFS-0.77.1 gnfs
(22·10¹⁹⁵-1)/3 = 7(3)_195<196> = 760607 · 924361 · 7110820979199464413_<19> · 225671089237444355780867_<24> · 1468739043177098162139599627_<28> · C115
C115 = P47 · P68
P47 = 57840971850648197321146788506896562701289609689_<47>
P68 = 76510951515688690163170103291651427855005889299208107899216779746183_<68>

Number: 73333_195 N=4425467792885258554902155078021991736153936106228595784249517804196388210518384921317149581681328539846156557567087 ( 115 digits) Divisors found: r1=57840971850648197321146788506896562701289609689 (pp47) r2=76510951515688690163170103291651427855005889299208107899216779746183 (pp68) Version: GGNFS-0.77.1 Total time: 84.49 hours. Scaled time: 50.36 units (timescale=0.596). Factorization parameters were as follows: name: 73333_195 n: 4425467792885258554902155078021991736153936106228595784249517804196388210518384921317149581681328539846156557567087 skew: 170663.23 # norm 9.92e+15 c5: 1260 c4: 133094852 c3: -235094834885984 c2: -2109515795186569345 c1: 1527791730117853107692802 c0: -2793794243224810862467149600 # alpha -5.77 Y1: 302054157823 Y0: -20375937126109800578251 # Murphy_E 5.19e-10 # M 3076403489535678031464462710394205254422024861907700313351362960154556084852305858936583388784869574395611274292560 type: gnfs rlim: 3500000 alim: 3500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [1750000, 3450001) Relations: rels:7869880, finalFF:687897 Initial matrix: 500521 x 687897 with sparse part having weight 66175633. Pruned matrix : 440257 x 442823 with weight 30310998. Polynomial selection time: 0.52 hours. Total sieving time: 75.79 hours. Total relation processing time: 0.78 hours. Matrix solve time: 6.82 hours. Time per square root: 0.59 hours. Prototype def-par.txt line would be: gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000 total time: 84.49 hours. --------- CPU info (if available) ----------