Factorizations of near-repdigit-related numbers

Table of contents

1. Introduction
2. How to contribute your factors ▶
3. Graphs ▶
4. Wanted list ▶
5. Records ▶
6. Reserved numbers and submitted numbers
7. News and updates
8. Contributors
9. Factor tables
   • Last update
   • Repunit numbers
   • Near-repdigit numbers of the form AA...AAB
   • Near-repdigit numbers of the form ABB...BB
   • Near-repdigit palindrome numbers of the form AA...AABAA...AA
   • Plateau and depression numbers of the form ABB...BBA
   • Quasi-repdigit numbers of the form ABB...BBC
10. List of near-repdigit-related prime numbers
11. Expression generator of near-repdigit-related numbers
12. Implementations
13. Related links

1. Introduction

We are collecting prime factorizations of near-repdigit-related numbers such as repunit numbers, near-repdigit numbers, plateau and depression numbers, quasi-repdigit numbers, and so on.

2. How to contribute your factors ▶

3. Graphs ▶

4. Wanted list ▶

5. Records ▶

6. Reserved numbers and submitted numbers

7. News and updates

Nov 19, 2009 (5th)

By Jo Yeong Uk / GGNFS, Msieve v1.39 / Nov 19, 2009
(67·10¹⁶⁰-13)/9 = 7(4)₁₅₉3_<161> = 223 · 2790386777_<10> · 1084302893662699352989_<22> · C129
C129 = P51 · P78
P51 = 363065558163129755586591876057933957697079245966993_<51>
P78 = 303897660134854542414694170874725162056604936336714237480477623856561460344929_<78>

Number: 74443_160 N=110334773601330070711761593600846340762094802874387964650626689471684650737015293850889407842085069929569671853321483121928928497 ( 129 digits) SNFS difficulty: 161 digits. Divisors found: r1=363065558163129755586591876057933957697079245966993 r2=303897660134854542414694170874725162056604936336714237480477623856561460344929 Version: Total time: 18.57 hours. Scaled time: 44.30 units (timescale=2.386). Factorization parameters were as follows: n: 110334773601330070711761593600846340762094802874387964650626689471684650737015293850889407842085069929569671853321483121928928497 m: 100000000000000000000000000000000 deg: 5 c5: 67 c0: -13 skew: 0.72 type: snfs lss: 1 rlim: 3400000 alim: 3400000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3400000/3400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1700000, 3300001) Primes: rational ideals reading, algebraic ideals reading, Relations: 9630508 Max relations in full relation-set: Initial matrix: Pruned matrix : 632716 x 632964 Total sieving time: 16.59 hours. Total relation processing time: 0.74 hours. Matrix solve time: 0.86 hours. Time per square root: 0.38 hours. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000 total time: 18.57 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init) Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792) Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346) Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672338) Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672382)

Nov 19, 2009 (4th)

By Dmitry Domanov / GGNFS/msieve / Nov 19, 2009
(65·10¹⁶⁷+61)/9 = 7(2)₁₆₆9_<168> = 3 · 3163 · 1283549 · 1810364976295258400527_<22> · 6731034634722746219253576990142331_<34> · C103
C103 = P41 · P63
P41 = 43887433213139645955484994448382146047239_<41>
P63 = 110879128047013805011879885468739184560992940355555347685320723_<63>

N=4866200326894477313327351434330702713602820686731038277709376544750901688090575230106979546318423633797 ( 103 digits) Divisors found: r1=43887433213139645955484994448382146047239 (pp41) r2=110879128047013805011879885468739184560992940355555347685320723 (pp63) Version: Msieve-1.40 Total time: 6.11 hours. Scaled time: 11.18 units (timescale=1.829). Factorization parameters were as follows: name: gg103 n: 4866200326894477313327351434330702713602820686731038277709376544750901688090575230106979546318423633797 skew: 3105.38 # norm 1.91e+014 c5: 1392300 c4: 5986291355 c3: -32719573776586 c2: -35617074683990928 c1: 196103299995263016226 c0: -71023059451757055174092 # alpha -6.16 Y1: 84365831159 Y0: -20355880109292170055 # Murphy_E 2.38e-009 # M 1588861051919919182070347774998276303263568046023222671646578452552654468614274410016547985992962233523 type: gnfs rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [1150000, 1850001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 220234 x 220457 Polynomial selection time: 0.56 hours. Total sieving time: 5.26 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.14 hours. Time per square root: 0.11 hours. Prototype def-par.txt line would be: gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 6.11 hours. --------- CPU info (if available) ----------

Nov 19, 2009 (3rd)

By Wataru Sakai / GMP-ECM 6.2.1 / Nov 19, 2009
(59·10¹⁷⁰+13)/9 = 6(5)₁₆₉7_<171> = 3 · 31 · 73 · 229 · 2371 · 136027 · C157
C157 = P33 · C124
P33 = 233155008560892980603136314014073_<33>
C124 = [5607467793672916357063206022743587336819544589797022881608229298842144002627748832647796629860992889557912488547520943964517_<124>]

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3871599622 Step 1 took 52361ms Step 2 took 17180ms ********** Factor found in step 2: 233155008560892980603136314014073 Found probable prime factor of 33 digits: 233155008560892980603136314014073 Composite cofactor 5607467793672916357063206022743587336819544589797022881608229298842144002627748832647796629860992889557912488547520943964517 has 124 digits

(59·10¹⁷¹+31)/9 = 6(5)₁₇₀9_<172> = 7 · 1319207906438579_<16> · C156
C156 = P37 · P120
P37 = 2356463302077488153069650734241665823_<37>
P120 = 301257269819596050498849046453150412524164514988049351771398639204280300958087733288868202951958003834996085783952664261_<120>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2957564567 Step 1 took 52204ms Step 2 took 17141ms ********** Factor found in step 2: 2356463302077488153069650734241665823 Found probable prime factor of 37 digits: 2356463302077488153069650734241665823 Probable prime cofactor 301257269819596050498849046453150412524164514988049351771398639204280300958087733288868202951958003834996085783952664261 has 120 digits

(22·10¹⁷²+17)/3 = 7(3)₁₇₁9_<173> = 7 · 241 · 3371 · 14678148955213_<14> · C153
C153 = P34 · C120
P34 = 4675036528889963296972072581793651_<34>
C120 = [187919259193893023850805073342750434538681070849906401604520432741490252970095903458623817348949668880171189653291036289_<120>]

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2243017104 Step 1 took 47067ms ********** Factor found in step 1: 4675036528889963296972072581793651 Found probable prime factor of 34 digits: 4675036528889963296972072581793651 Composite cofactor 187919259193893023850805073342750434538681070849906401604520432741490252970095903458623817348949668880171189653291036289 has 120 digits

Nov 19, 2009 (2nd)

By Sinkiti Sibata / Msieve / Nov 19, 2009
(65·10¹⁶⁰+7)/9 = 7(2)₁₅₉3_<161> = 89 · 691 · 1063 · 30689 · 80147 · 345231714617358424861_<21> · C124
C124 = P47 · P77
P47 = 20357986503829909242696372348001111417687352381_<47>
P77 = 63907821471927606482939461715126003027541213468536152840468146898123845327793_<77>

Number: 72223_160 N=1301034567014673497892919265231793046878598035690062464234773174782366433468283011049257436954506807102849869231615244025133 ( 124 digits) SNFS difficulty: 161 digits. Divisors found: r1=20357986503829909242696372348001111417687352381 (pp47) r2=63907821471927606482939461715126003027541213468536152840468146898123845327793 (pp77) Version: Msieve-1.40 Total time: 26.08 hours. Scaled time: 86.65 units (timescale=3.322). Factorization parameters were as follows: name: 72223_160 n: 1301034567014673497892919265231793046878598035690062464234773174782366433468283011049257436954506807102849869231615244025133 m: 100000000000000000000000000000000 deg: 5 c5: 65 c0: 7 skew: 0.64 type: snfs lss: 1 rlim: 3500000 alim: 3500000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1750000, 3150001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 611722 x 611970 Total sieving time: 25.21 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.69 hours. Time per square root: 0.10 hours. Prototype def-par.txt line would be: snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000 total time: 26.08 hours. --------- CPU info (if available) ----------

Nov 19, 2009

By Robert Backstrom / Msieve / Nov 19, 2009
(10²²⁹-7)/3 = (3)₂₂₈1_<229> = 3814997 · C222
C222 = P101 · P122
P101 = 32956293259679429768656597360038775832848835783382963927693572571464416807016576796602091743934862861_<101>
P122 = 26512225547078900430922693339363341417936176675074791272188321866779709375923927312831198488509643069134973196513414342243_<122>

Sieving ~ 220 CPU days + 161 hrs Lanczos with Msieve 1.42 Thu Nov 12 23:11:10 2009 Thu Nov 12 23:11:10 2009 Thu Nov 12 23:11:10 2009 Msieve v. 1.42 Thu Nov 12 23:11:10 2009 random seeds: a862287b 37faa132 Thu Nov 12 23:11:10 2009 factoring 873744680096297148682773101350625789046055169462343832336783838449501620403196472587877089636855109803057075361614526389754260182467596523230118748018237847456586029643885259499111882219916118763221395281132156416724137223 (222 digits) Thu Nov 12 23:11:12 2009 no P-1/P+1/ECM available, skipping Thu Nov 12 23:11:12 2009 commencing number field sieve (222-digit input) Thu Nov 12 23:11:12 2009 R0: -100000000000000000000000000000000000000 Thu Nov 12 23:11:12 2009 R1: 1 Thu Nov 12 23:11:12 2009 A0: -7 Thu Nov 12 23:11:12 2009 A1: 0 Thu Nov 12 23:11:12 2009 A2: 0 Thu Nov 12 23:11:12 2009 A3: 0 Thu Nov 12 23:11:12 2009 A4: 0 Thu Nov 12 23:11:12 2009 A5: 0 Thu Nov 12 23:11:12 2009 A6: 10 Thu Nov 12 23:11:12 2009 skew 1.00, size 2.833444e-11, alpha 1.102701, combined = 1.358953e-12 Thu Nov 12 23:11:12 2009 Thu Nov 12 23:11:12 2009 commencing relation filtering Thu Nov 12 23:11:12 2009 estimated available RAM is 7923.9 MB Thu Nov 12 23:11:12 2009 commencing duplicate removal, pass 1 Thu Nov 12 23:12:12 2009 error -6 reading relation 9929150 Thu Nov 12 23:13:31 2009 error -11 reading relation 23649746 Thu Nov 12 23:14:21 2009 error -6 reading relation 32916487 Thu Nov 12 23:15:00 2009 error -15 reading relation 40211731 Thu Nov 12 23:15:15 2009 error -11 reading relation 42932952 Thu Nov 12 23:16:49 2009 error -11 reading relation 60575181 Thu Nov 12 23:17:56 2009 error -11 reading relation 69579752 Thu Nov 12 23:18:42 2009 error -6 reading relation 77528636 Thu Nov 12 23:19:27 2009 error -6 reading relation 85390839 Thu Nov 12 23:19:48 2009 found 13696326 hash collisions in 89183073 relations Thu Nov 12 23:20:04 2009 commencing duplicate removal, pass 2 Thu Nov 12 23:21:33 2009 found 12651851 duplicates and 76531222 unique relations Thu Nov 12 23:21:33 2009 memory use: 426.4 MB Thu Nov 12 23:21:33 2009 reading ideals above 91291648 Thu Nov 12 23:21:33 2009 commencing singleton removal, initial pass Thu Nov 12 23:30:15 2009 memory use: 1193.5 MB Thu Nov 12 23:30:22 2009 reading all ideals from disk Thu Nov 12 23:30:27 2009 memory use: 1232.8 MB Thu Nov 12 23:30:34 2009 commencing in-memory singleton removal Thu Nov 12 23:30:42 2009 begin with 76531222 relations and 70805144 unique ideals Thu Nov 12 23:31:54 2009 reduce to 35000016 relations and 23227703 ideals in 19 passes Thu Nov 12 23:31:54 2009 max relations containing the same ideal: 28 Thu Nov 12 23:31:58 2009 reading ideals above 720000 Thu Nov 12 23:31:58 2009 commencing singleton removal, initial pass Thu Nov 12 23:37:32 2009 memory use: 596.8 MB Thu Nov 12 23:37:32 2009 reading all ideals from disk Thu Nov 12 23:37:41 2009 memory use: 1301.4 MB Thu Nov 12 23:37:50 2009 keeping 33583094 ideals with weight <= 200, target excess is 181953 Thu Nov 12 23:37:59 2009 commencing in-memory singleton removal Thu Nov 12 23:38:07 2009 begin with 35000019 relations and 33583094 unique ideals Thu Nov 12 23:40:13 2009 reduce to 34608397 relations and 33189936 ideals in 15 passes Thu Nov 12 23:40:13 2009 max relations containing the same ideal: 200 Thu Nov 12 23:40:50 2009 removing 3807449 relations and 3407449 ideals in 400000 cliques Thu Nov 12 23:40:51 2009 commencing in-memory singleton removal Thu Nov 12 23:40:59 2009 begin with 30800948 relations and 33189936 unique ideals Thu Nov 12 23:42:28 2009 reduce to 30471081 relations and 29447150 ideals in 12 passes Thu Nov 12 23:42:28 2009 max relations containing the same ideal: 190 Thu Nov 12 23:43:00 2009 removing 2782167 relations and 2382167 ideals in 400000 cliques Thu Nov 12 23:43:02 2009 commencing in-memory singleton removal Thu Nov 12 23:43:09 2009 begin with 27688914 relations and 29447150 unique ideals Thu Nov 12 23:44:02 2009 reduce to 27489440 relations and 26862722 ideals in 8 passes Thu Nov 12 23:44:02 2009 max relations containing the same ideal: 181 Thu Nov 12 23:44:31 2009 removing 2450585 relations and 2050585 ideals in 400000 cliques Thu Nov 12 23:44:33 2009 commencing in-memory singleton removal Thu Nov 12 23:44:39 2009 begin with 25038855 relations and 26862722 unique ideals Thu Nov 12 23:45:51 2009 reduce to 24871942 relations and 24642751 ideals in 12 passes Thu Nov 12 23:45:51 2009 max relations containing the same ideal: 166 Thu Nov 12 23:46:17 2009 removing 176554 relations and 158429 ideals in 18125 cliques Thu Nov 12 23:46:18 2009 commencing in-memory singleton removal Thu Nov 12 23:46:24 2009 begin with 24695388 relations and 24642751 unique ideals Thu Nov 12 23:46:53 2009 reduce to 24694507 relations and 24483440 ideals in 5 passes Thu Nov 12 23:46:53 2009 max relations containing the same ideal: 166 Thu Nov 12 23:47:06 2009 relations with 0 large ideals: 6717 Thu Nov 12 23:47:06 2009 relations with 1 large ideals: 1179 Thu Nov 12 23:47:06 2009 relations with 2 large ideals: 8333 Thu Nov 12 23:47:06 2009 relations with 3 large ideals: 89276 Thu Nov 12 23:47:06 2009 relations with 4 large ideals: 546118 Thu Nov 12 23:47:06 2009 relations with 5 large ideals: 2010219 Thu Nov 12 23:47:06 2009 relations with 6 large ideals: 4602823 Thu Nov 12 23:47:06 2009 relations with 7+ large ideals: 17429842 Thu Nov 12 23:47:06 2009 commencing 2-way merge Thu Nov 12 23:47:41 2009 reduce to 15238596 relation sets and 15027528 unique ideals Thu Nov 12 23:47:41 2009 commencing full merge Thu Nov 12 23:54:19 2009 memory use: 1908.0 MB Thu Nov 12 23:54:22 2009 found 8200658 cycles, need 8173728 Thu Nov 12 23:54:26 2009 weight of 8173728 cycles is about 572210818 (70.01/cycle) Thu Nov 12 23:54:26 2009 distribution of cycle lengths: Thu Nov 12 23:54:26 2009 1 relations: 1219496 Thu Nov 12 23:54:26 2009 2 relations: 1113256 Thu Nov 12 23:54:26 2009 3 relations: 1026751 Thu Nov 12 23:54:26 2009 4 relations: 875887 Thu Nov 12 23:54:26 2009 5 relations: 745030 Thu Nov 12 23:54:26 2009 6 relations: 624485 Thu Nov 12 23:54:26 2009 7 relations: 527618 Thu Nov 12 23:54:26 2009 8 relations: 437123 Thu Nov 12 23:54:26 2009 9 relations: 358263 Thu Nov 12 23:54:26 2009 10+ relations: 1245819 Thu Nov 12 23:54:26 2009 heaviest cycle: 24 relations Thu Nov 12 23:54:29 2009 commencing cycle optimization Thu Nov 12 23:54:48 2009 start with 43758680 relations Thu Nov 12 23:56:16 2009 pruned 944312 relations Thu Nov 12 23:56:16 2009 memory use: 1460.4 MB Thu Nov 12 23:56:16 2009 distribution of cycle lengths: Thu Nov 12 23:56:16 2009 1 relations: 1219496 Thu Nov 12 23:56:16 2009 2 relations: 1134660 Thu Nov 12 23:56:16 2009 3 relations: 1058293 Thu Nov 12 23:56:16 2009 4 relations: 890629 Thu Nov 12 23:56:16 2009 5 relations: 757989 Thu Nov 12 23:56:16 2009 6 relations: 628845 Thu Nov 12 23:56:16 2009 7 relations: 528837 Thu Nov 12 23:56:16 2009 8 relations: 434588 Thu Nov 12 23:56:16 2009 9 relations: 353251 Thu Nov 12 23:56:16 2009 10+ relations: 1167140 Thu Nov 12 23:56:16 2009 heaviest cycle: 24 relations Thu Nov 12 23:56:34 2009 RelProcTime: 2722 Thu Nov 12 23:56:34 2009 Thu Nov 12 23:56:34 2009 commencing linear algebra Thu Nov 12 23:56:41 2009 read 8173728 cycles Thu Nov 12 23:56:58 2009 cycles contain 24518900 unique relations Thu Nov 12 23:59:32 2009 read 24518900 relations Fri Nov 13 00:00:18 2009 using 20 quadratic characters above 1073741312 Fri Nov 13 00:02:20 2009 building initial matrix Fri Nov 13 00:07:17 2009 memory use: 3126.0 MB Fri Nov 13 00:07:22 2009 read 8173728 cycles Fri Nov 13 00:07:31 2009 matrix is 8173551 x 8173728 (2459.0 MB) with weight 723523108 (88.52/col) Fri Nov 13 00:07:31 2009 sparse part has weight 554695601 (67.86/col) Fri Nov 13 00:09:44 2009 filtering completed in 2 passes Fri Nov 13 00:09:46 2009 matrix is 8170702 x 8170878 (2458.8 MB) with weight 723445965 (88.54/col) Fri Nov 13 00:09:46 2009 sparse part has weight 554678395 (67.88/col) Fri Nov 13 00:10:31 2009 read 8170878 cycles Fri Nov 13 00:10:36 2009 matrix is 8170702 x 8170878 (2458.8 MB) with weight 723445965 (88.54/col) Fri Nov 13 00:10:36 2009 sparse part has weight 554678395 (67.88/col) Fri Nov 13 00:10:36 2009 saving the first 48 matrix rows for later Fri Nov 13 00:10:39 2009 matrix is 8170654 x 8170878 (2351.5 MB) with weight 572916754 (70.12/col) Fri Nov 13 00:10:39 2009 sparse part has weight 534727936 (65.44/col) Fri Nov 13 00:10:39 2009 matrix includes 64 packed rows Fri Nov 13 00:10:39 2009 using block size 65536 for processor cache size 6144 kB Fri Nov 13 00:11:12 2009 commencing Lanczos iteration (4 threads) Fri Nov 13 00:11:12 2009 memory use: 2546.0 MB Thu Nov 19 17:11:02 2009 lanczos halted after 129209 iterations (dim = 8170651) Thu Nov 19 17:11:17 2009 recovered 34 nontrivial dependencies Thu Nov 19 17:11:17 2009 BLanczosTime: 580483 Thu Nov 19 17:11:17 2009 Thu Nov 19 17:11:17 2009 commencing square root phase Thu Nov 19 17:11:17 2009 reading relations for dependency 1 Thu Nov 19 17:11:19 2009 read 4087359 cycles Thu Nov 19 17:11:28 2009 cycles contain 14942110 unique relations Thu Nov 19 17:13:16 2009 read 14942110 relations Thu Nov 19 17:14:47 2009 multiplying 12262068 relations Thu Nov 19 17:52:42 2009 multiply complete, coefficients have about 340.41 million bits Thu Nov 19 17:52:45 2009 initial square root is modulo 1283017 Thu Nov 19 18:37:22 2009 sqrtTime: 5165 Thu Nov 19 18:37:22 2009 prp101 factor: 32956293259679429768656597360038775832848835783382963927693572571464416807016576796602091743934862861 Thu Nov 19 18:37:22 2009 prp122 factor: 26512225547078900430922693339363341417936176675074791272188321866779709375923927312831198488509643069134973196513414342243 Thu Nov 19 18:37:22 2009 elapsed time 163:26:12

C222 is the fourth largest composite number factored by snfs in our tables so far, and P101 is the third largest prime factor found by nfs in our tables so far. Congratulations!

Nov 18, 2009 (4th)

By Jo Yeong Uk / GGNFS, Msieve v1.39, GMP-ECM / Nov 18, 2009
(67·10¹⁶⁰-31)/9 = 7(4)₁₅₉1_<161> = 61982719611999597353_<20> · 143698186760416432999_<21> · C121
C121 = P58 · P64
P58 = 5184273162643458694917399313243984064834873060204015700713_<58>
P64 = 1612213304015942235676505728696547693838364040958693307596122831_<64>

Number: 74441_160 N=8358154164466588821090554087275649937241803372935761744857267124951914706311950912111526869642631543490919504968482278503 ( 121 digits) SNFS difficulty: 161 digits. Divisors found: r1=5184273162643458694917399313243984064834873060204015700713 r2=1612213304015942235676505728696547693838364040958693307596122831 Version: Total time: 17.49 hours. Scaled time: 41.84 units (timescale=2.392). Factorization parameters were as follows: n: 8358154164466588821090554087275649937241803372935761744857267124951914706311950912111526869642631543490919504968482278503 m: 100000000000000000000000000000000 deg: 5 c5: 67 c0: -31 skew: 0.86 type: snfs lss: 1 rlim: 3400000 alim: 3400000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3400000/3400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1700000, 3200001) Primes: rational ideals reading, algebraic ideals reading, Relations: 9409654 Max relations in full relation-set: Initial matrix: Pruned matrix : 652517 x 652764 Total sieving time: 15.59 hours. Total relation processing time: 0.68 hours. Matrix solve time: 0.91 hours. Time per square root: 0.30 hours. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000 total time: 17.49 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init) Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792) Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346) Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672338) Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672382)

(65·10¹⁶²+61)/9 = 7(2)₁₆₁9_<163> = 7 · 433 · 40118289197111849803_<20> · C140
C140 = P35 · P106
P35 = 13579168028242955813092310115106577_<35>
P106 = 4373904977664475284540946690165627879231370447085692210555464579063477417774709742461792175457447644986089_<106>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM] Input number is 59393990631274162535471601057877005972838099309322799817876122604451444243295438344356023518048699407876740752099950221084230446649917407353 (140 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4563230118 Step 1 took 3998ms ********** Factor found in step 1: 13579168028242955813092310115106577 Found probable prime factor of 35 digits: 13579168028242955813092310115106577 Probable prime cofactor 4373904977664475284540946690165627879231370447085692210555464579063477417774709742461792175457447644986089 has 106 digits

Nov 18, 2009 (3rd)

By Sinkiti Sibata / Msieve / Nov 18, 2009
(67·10¹⁵⁸-13)/9 = 7(4)₁₅₇3_<159> = 137 · 367 · 27749 · 723919956530258273_<18> · C132
C132 = P63 · P70
P63 = 323406167861964574204330095340435316519039701961176025430412333_<63>
P70 = 2279079514444156964263123471753688115851723190657786980680661703364237_<70>

Number: 74443_158 N=737068372019091742604361880412597109475278063530233380153041578836135503206432728522468364755483999138828375954292978546680195934921 ( 132 digits) SNFS difficulty: 161 digits. Divisors found: r1=323406167861964574204330095340435316519039701961176025430412333 (pp63) r2=2279079514444156964263123471753688115851723190657786980680661703364237 (pp70) Version: Msieve-1.40 Total time: 27.12 hours. Scaled time: 89.14 units (timescale=3.287). Factorization parameters were as follows: name: 74443_158 n: 737068372019091742604361880412597109475278063530233380153041578836135503206432728522468364755483999138828375954292978546680195934921 m: 50000000000000000000000000000000 deg: 5 c5: 536 c0: -325 skew: 0.90 type: snfs lss: 1 rlim: 3400000 alim: 3400000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3400000/3400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1700000, 3200001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 587928 x 588176 Total sieving time: 26.34 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.64 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000 total time: 27.12 hours. --------- CPU info (if available) ----------

Nov 18, 2009 (2nd)

By Wataru Sakai / GMP-ECM 6.2.1 / Nov 18, 2009
(65·10¹⁶⁷+61)/9 = 7(2)₁₆₆9_<168> = 3 · 3163 · 1283549 · 1810364976295258400527_<22> · C137
C137 = P34 · C103
P34 = 6731034634722746219253576990142331_<34>
C103 = [4866200326894477313327351434330702713602820686731038277709376544750901688090575230106979546318423633797_<103>]

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2647962607 Step 1 took 42548ms Step 2 took 14762ms ********** Factor found in step 2: 6731034634722746219253576990142331 Found probable prime factor of 34 digits: 6731034634722746219253576990142331 Composite cofactor 4866200326894477313327351434330702713602820686731038277709376544750901688090575230106979546318423633797 has 103 digits

Nov 18, 2009

By Erik Branger / GGNFS, Msieve / Nov 18, 2009
(59·10¹⁷²-41)/9 = 6(5)₁₇₁1_<173> = 42787 · 31693768213_<11> · 2536830201015107_<16> · 139446318301636885367_<21> · C123
C123 = P58 · P65
P58 = 6709643923662083287600130339490360747447730333693040348921_<58>
P65 = 20366943698391295213823441988462062034872745975969857861877209429_<65>

Number: 65551_172 N=136654940029478911849727109316279734444197648667253976171378912414680437926200903241898447268360383419731066103731951176109 ( 123 digits) Divisors found: r1=6709643923662083287600130339490360747447730333693040348921 (pp58) r2=20366943698391295213823441988462062034872745975969857861877209429 (pp65) Version: Msieve v. 1.43 Total time: 60.19 hours. Scaled time: 58.44 units (timescale=0.971). Factorization parameters were as follows: n: 136654940029478911849727109316279734444197648667253976171378912414680437926200903241898447268360383419731066103731951176109 skew: 772856.50 #skew 772856.50, size 9.317641e-012, alpha -7.085631, combined = 2.065199e-010 c5: 600 c4: -431270722 c3: 325013098061919 c2: -1039884277173083768092 c1: -378596922670397322214778260 c0: -1308313376079945581025641373600 Y1: 9213761994587 Y0: -743867510048013670888093 type: gnfs rlim: 6000000 alim: 6000000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 Factor base limits: 6000000/6000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved algebraic special-q in [3000000, 5400001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 880216 x 880442 Total sieving time: 57.70 hours. Total relation processing time: 0.25 hours. Matrix solve time: 1.86 hours. Time per square root: 0.37 hours. Prototype def-par.txt line would be: gnfs,122,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6000000,6000000,27,27,52,52,2.5,2.5,100000 total time: 60.19 hours. --------- CPU info (if available) ----------

Nov 17, 2009 (4th)

By Sinkiti Sibata / Msieve / Nov 17, 2009
(67·10¹⁷⁶+41)/9 = 7(4)₁₇₅9_<177> = 7 · C177
C177 = P36 · P42 · P43 · P57
P36 = 381496638149806557062385644326745051_<36>
P42 = 803770627877673149683896774769690484334047_<42>
P43 = 2540492572298568949029546317256747678065197_<43>
P57 = 136519118946285151795581433335283513926057235634807181623_<57>

Number: 74449_176 N=106349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349207 ( 177 digits) SNFS difficulty: 177 digits. Divisors found: r1=381496638149806557062385644326745051 (pp36) r2=803770627877673149683896774769690484334047 (pp42) r3=2540492572298568949029546317256747678065197 (pp43) r4=136519118946285151795581433335283513926057235634807181623 (pp57) Version: Msieve-1.40 Total time: 151.29 hours. Scaled time: 507.89 units (timescale=3.357). Factorization parameters were as follows: name: 74449_176 n: 106349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349207 m: 100000000000000000000000000000000000 deg: 5 c5: 670 c0: 41 skew: 0.57 type: snfs lss: 1 rlim: 6400000 alim: 6400000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6400000/6400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3200000, 8900001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1407232 x 1407479 Total sieving time: 146.77 hours. Total relation processing time: 0.17 hours. Matrix solve time: 3.89 hours. Time per square root: 0.46 hours. Prototype def-par.txt line would be: snfs,177.000,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000 total time: 151.29 hours. --------- CPU info (if available) ----------

(62·10¹⁵⁹-71)/9 = 6(8)₁₅₈1_<160> = 7 · 367 · 397 · 1427 · 1295003 · 27044153094400533691_<20> · C126
C126 = P48 · P78
P48 = 637642494412674002793864923763006295921649455939_<48>
P78 = 211957692852734056509800472053686387750176129582452776229614596712235602760093_<78>

Number: 68881_159 N=135153231980572748044136445861801829429050962561946223951226838695412239454479728772981461313692290146394175213660440191042327 ( 126 digits) SNFS difficulty: 161 digits. Divisors found: r1=637642494412674002793864923763006295921649455939 (pp48) r2=211957692852734056509800472053686387750176129582452776229614596712235602760093 (pp78) Version: Msieve v. 1.42 Total time: 1.59 hours. Scaled time: 1.08 units (timescale=0.681). Factorization parameters were as follows: name: 68881_159 n: 135153231980572748044136445861801829429050962561946223951226838695412239454479728772981461313692290146394175213660440191042327 m: 100000000000000000000000000000000 deg: 5 c5: 31 c0: -355 skew: 1.63 type: snfs lss: 1 rlim: 3400000 alim: 3400000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3400000/3400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1700000, 3200001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 652571 x 652797 Total sieving time: 0.00 hours. Total relation processing time: 0.10 hours. Matrix solve time: 1.37 hours. Time per square root: 0.11 hours. Prototype def-par.txt line would be: snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000 total time: 1.59 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 02 CPU1: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 02 Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.19 BogoMIPS (lpj=1860598) Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860574) Total of 2 processors activated (7442.34 BogoMIPS). Total time: 27.7 hours

Nov 17, 2009 (3rd)

By Jo Yeong Uk / GGNFS, Msieve v1.39 / Nov 17, 2009
(59·10¹⁵⁹+31)/9 = 6(5)₁₅₈9_<160> = 7 · 41 · 118759055073185934621037_<24> · C135
C135 = P55 · P80
P55 = 2549878433376721403304445956812713905944758972355130839_<55>
P80 = 75429529077254560793474090742639833438562153315193101308443515089992511037341899_<80>

Number: 65559_159 N=192336129433853713462743799811065807296497118520268229199178231611199978210902456189888686092410750956991535069761582060175816921723261 ( 135 digits) SNFS difficulty: 161 digits. Divisors found: r1=2549878433376721403304445956812713905944758972355130839 r2=75429529077254560793474090742639833438562153315193101308443515089992511037341899 Version: Total time: 17.49 hours. Scaled time: 41.79 units (timescale=2.390). Factorization parameters were as follows: n: 192336129433853713462743799811065807296497118520268229199178231611199978210902456189888686092410750956991535069761582060175816921723261 m: 100000000000000000000000000000000 deg: 5 c5: 59 c0: 310 skew: 1.39 type: snfs lss: 1 rlim: 3600000 alim: 3600000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3600000/3600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1800000, 3300001) Primes: rational ideals reading, algebraic ideals reading, Relations: 9616962 Max relations in full relation-set: Initial matrix: Pruned matrix : 621680 x 621928 Total sieving time: 15.89 hours. Total relation processing time: 0.71 hours. Matrix solve time: 0.80 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000 total time: 17.49 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init) Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792) Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346) Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672338) Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672382)

Nov 17, 2009 (2nd)

By Ignacio Santos / GGNFS, Msieve / Nov 17, 2009
(64·10¹⁷⁸+71)/9 = 7(1)₁₇₇9_<179> = 229 · C177
C177 = P38 · P139
P38 = 33350205132654546757222414370710831411_<38>
P139 = 9311153207174220903648886531701264110925845510393319781488890048252156953150920948299831365494816188137632384373019136801433203324125922001_<139>

Number: 71119_178 N=310528869480834546336729742843279961183891314895681707908782144590004852013585638039786511402231926249393498301795245026686074721009218825812712275594371664240659873847646773411 ( 177 digits) SNFS difficulty: 180 digits. Divisors found: r1=33350205132654546757222414370710831411 (pp38) r2=9311153207174220903648886531701264110925845510393319781488890048252156953150920948299831365494816188137632384373019136801433203324125922001 (pp139) Version: Msieve v. 1.43 Total time: 134.74 hours. Scaled time: 234.99 units (timescale=1.744). Factorization parameters were as follows: n: 310528869480834546336729742843279961183891314895681707908782144590004852013585638039786511402231926249393498301795245026686074721009218825812712275594371664240659873847646773411 m: 400000000000000000000000000000000000 deg: 5 c5: 125 c0: 142 skew: 1.03 type: snfs lss: 1 rlim: 7000000 alim: 7000000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 7000000/7000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3500000, 10100001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1578565 x 1578790 Total sieving time: 130.38 hours. Total relation processing time: 0.20 hours. Matrix solve time: 3.56 hours. Time per square root: 0.61 hours. Prototype def-par.txt line would be: snfs,180.000,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000 total time: 134.74 hours.

Nov 17, 2009

By Dmitry Domanov / GGNFS/msieve, ECMNET, GMP-ECM / Nov 17, 2009
(59·10¹⁶⁴+13)/9 = 6(5)₁₆₃7_<165> = 3² · 89 · 967 · C159
C159 = P48 · P112
P48 = 172494834689383932407753106094143525376103225653_<48>
P112 = 4906529533010920434450031087476390453047270898213110900861533572593100963811674429717024242278907331943447184807_<112>

N=846351000695298864469510778997240465389766870465118647651598319519880856730993646199173932733456957959163707665773981534916353983006706399259916257154714253971 ( 159 digits) SNFS difficulty: 166 digits. Divisors found: r1=172494834689383932407753106094143525376103225653 (pp48) r2=4906529533010920434450031087476390453047270898213110900861533572593100963811674429717024242278907331943447184807 (pp112) Version: Msieve-1.40 Total time: 42.70 hours. Scaled time: 78.56 units (timescale=1.840). Factorization parameters were as follows: n: 846351000695298864469510778997240465389766870465118647651598319519880856730993646199173932733456957959163707665773981534916353983006706399259916257154714253971 m: 1000000000000000000000000000000000 deg: 5 c5: 59 c0: 130 skew: 1.17 type: snfs lss: 1 rlim: 4200000 alim: 4200000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4Factor base limits: 4200000/4200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [2100000, 4500001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 705092 x 705317 Total sieving time: 41.83 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.64 hours. Time per square root: 0.14 hours. Prototype def-par.txt line would be: snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000 total time: 42.70 hours. --------- CPU info (if available) ----------

(62·10¹⁹⁰-71)/9 = 6(8)₁₈₉1_<191> = 17 · C190
C190 = P39 · C152
P39 = 159056495352762286480580492048359527989_<39>
C152 = [25477033004606382089474543221740888076315860678491961319226765661507788975891994600263548413995024764740782104709424866797319890147044298005667883592637_<152>]

Factor=159056495352762286480580492048359527989 Method=ECM B1=11000000 Sigma=3757089473

2009: November October September August July June May April March February January
2008: December November October September August July June May April March February January
2007: December November October September August July June May April March February January
2006: December November October September August July June May April March February January
2005: December November October September August July June May April March February January
2004: December November October September August

8. Contributors

I am thankful to contributors 10metreh, Alexander Mkrtychyan, Andreas Tete, Anton Korobeynikov, Bryan Koen, Cedric Vonck, Chris Monico, Dmitry Domanov, Erik Branger, Greg Childers, honeycrack7, Hugo Platzer, Ignacio Santos, Jeff Gilchrist, JMB, Jo Yeong Uk, JPascoa, Julien Peter Benney, Justin Card, Kenichiro Yamaguchi, Kenji Ibusuki, Lionel Debroux, Luigi Morelli, Maksym Voznyy, Markus Tervooren, matsui, Max Dettweiler, Michael Peterson, Nechaev Sergey, Naoki Yamamoto, Norbert Schneider, Patrick Keller, Phil Carmody, Philippe Strohl, Robert Backstrom, Samuel Chong, Sander Hoogendoorn, Serge Batalov, Shaopu Lin, Shusuke Kubota, Sinkiti Sibata, suberi, Takahiro Nohara, Tetsuya Kobayashi, Thomas Womack, Tomoya Adachi, Tyler Cadigan, Wataru Sakai, Wojciech Florek, Yang Hae Hun and Yoichi Hanatani.

9. Factor tables

Last update

Nov 20, 2009

Repunit numbers

• Factorizations of 11...11 (Repunit)
• Factorizations of 100...001
• Factorizations of Phi_n(10)

Recent changes
2009: September August July June May April March February January
2008: December November October September

Near-repdigit numbers of the form AA...AAB

form	general term	range	terms which have not been factored yet	last update
11...113	(10n+17)/9	n≤250	n=184, 189, 192, 193, 201, 202, 203, 206, 208, 209, 210, 211, 214, 216, 217, 218, 219, 220, 223, 224, 225, 226, 227, 230, 231, 232, 234, 235, 236, 237, 238, 239, 240, 243, 244, 246, 250 (37/250)	Nov 8, 2009
11...117	(10n+53)/9	n≤250	n=201, 202, 203, 205, 208, 209, 210, 212, 216, 217, 218, 219, 221, 222, 227, 228, 229, 231, 232, 233, 234, 235, 237, 238, 240, 243, 245, 246, 247, 248, 249 (31/250)	Nov 8, 2009
11...119	(10n+71)/9	n≤200	n=176, 177, 178, 179, 183, 188, 189, 190, 191, 193, 195, 199, 200 (13/200)	Nov 8, 2009
22...221	(2·10n-11)/9	n≤200	n=175, 176, 179, 183, 185, 186, 187, 188, 189, 191, 196, 199, 200 (13/200)	Nov 6, 2009
22...223	(2·10n+7)/9	n≤200	n=173, 174, 176, 179, 182, 184, 193, 195, 196, 198, 199, 200 (12/200)	Nov 6, 2009
22...227	(2·10n+43)/9	n≤200	n=179, 183, 184, 185, 186, 189, 190, 192, 194, 197, 199, 200 (12/200)	Nov 7, 2009
22...229	(2·10n+61)/9	n≤200	n=180, 181, 182, 183, 184, 186, 189, 191, 194, 195, 196, 199 (12/200)	Nov 6, 2009
33...331	(10n-7)/3	n≤250	n=182, 183, 189, 190, 196, 199, 200, 205, 206, 207, 208, 209, 211, 215, 217, 218, 219, 221, 226, 227, 230, 231, 232, 233, 235, 237, 242, 243, 247, 248, 250 (31/250)	Nov 20, 2009
33...337	(10n+11)/3	n≤200	n=173, 178, 179, 180, 184, 185, 186, 187, 191, 192, 193, 194, 196, 197, 198, 199 (16/200)	Nov 5, 2009
44...441	(4·10n-31)/9	n≤200	n=174, 175, 176, 180, 181, 185, 195, 196, 197, 198 (10/200)	Nov 5, 2009
44...443	(4·10n-13)/9	n≤200	n=172, 175, 176, 178, 179, 180, 184, 185, 188, 189, 191, 193, 195, 196, 197, 198, 200 (17/200)	Nov 5, 2009
44...447	(4·10n+23)/9	n≤200	n=178, 181, 183, 184, 185, 188, 192, 193, 195, 196, 197, 200 (12/200)	Nov 5, 2009
44...449	(4·10n+41)/9	n≤200	n=178, 179, 180, 183, 184, 186, 188, 189, 193, 199, 200 (11/200)	Nov 5, 2009
55...551	(5·10n-41)/9	n≤200	n=180, 181, 183, 184, 187, 189, 190, 192, 196, 198, 199, 200 (12/200)	Nov 4, 2009
55...553	(5·10n-23)/9	n≤200	n=176, 178, 179, 182, 187, 188, 193, 196, 200 (9/200)	Nov 4, 2009
55...557	(5·10n+13)/9	n≤200	n=174, 175, 176, 179, 180, 181, 182, 183, 185, 187, 188, 191, 192, 193, 194, 198 (16/200)	Nov 4, 2009
55...559	(5·10n+31)/9	n≤200	n=173, 174, 179, 180, 181, 182, 183, 184, 191, 194, 196 (11/200)	Nov 4, 2009
66...661	(2·10n-17)/3	n≤200	n=172, 175, 176, 183, 186, 190, 193, 194, 195, 197, 200 (11/200)	Nov 4, 2009
66...667	(2·10n+1)/3	n≤250	n=198, 200, 201, 203, 207, 208, 210, 211, 212, 214, 215, 217, 218, 219, 220, 221, 222, 224, 225, 226, 227, 228, 230, 231, 232, 236, 237, 239, 241, 242, 243, 244, 246, 247, 248, 249 (36/250)	Nov 4, 2009
77...771	(7·10n-61)/9	n≤200	n=178, 179, 181, 182, 187, 189, 190, 191, 193, 194, 195, 197, 198 (13/200)	Oct 21, 2009
77...773	(7·10n-43)/9	n≤250	n=186, 195, 197, 199, 200, 203, 206, 208, 209, 210, 211, 212, 213, 215, 217, 218, 220, 225, 226, 227, 230, 232, 235, 236, 237, 238, 239, 240, 242, 245, 248, 249, 250 (33/250)	Oct 21, 2009
77...779	(7·10n+11)/9	n≤200	n=177, 178, 180, 181, 183, 185, 187, 191, 192, 193, 194, 196, 199 (13/200)	Oct 24, 2009
88...881	(8·10n-71)/9	n≤200	n=171, 176, 179, 180, 182, 184, 187, 188, 191, 193, 196, 197, 198, 199 (14/200)	Oct 22, 2009
88...883	(8·10n-53)/9	n≤200	n=172, 174, 176, 179, 184, 185, 186, 194, 195, 196, 197, 199 (12/200)	Oct 22, 2009
88...887	(8·10n-17)/9	n≤200	n=180, 181, 182, 183, 184, 187, 188, 189, 196, 198, 200 (11/200)	Oct 22, 2009
88...889	(8·10n+1)/9	n≤250	n=202, 203, 205, 206, 208, 214, 218, 220, 221, 224, 227, 229, 232, 235, 236, 238, 239, 242, 244, 248 (20/250)	Oct 22, 2009
99...991	10n-9	n≤250	n=201, 211, 215, 221, 229, 231, 235, 241, 243, 245, 247 (11/250)	Oct 23, 2009
99...997	10n-3	n≤200	n=181, 183, 186, 189, 192, 193, 195, 196, 198, 199 (10/200)	Oct 23, 2009

Near-repdigit numbers of the form ABB...BB

form	general term	range	terms which have not been factored yet	last update
133...33	(4·10n-1)/3	n≤250	n=209, 211, 213, 215, 219, 221, 229, 231, 237, 239, 247, 249 (12/250)	Nov 8, 2009
177...77	(16·10n-7)/9	n≤250	n=194, 205, 206, 209, 212, 213, 215, 220, 221, 223, 227, 228, 231, 234, 235, 237, 238, 240, 241, 242, 245, 246, 248 (23/250)	Nov 11, 2009
199...99	2·10n-1	n≤250	n=195, 196, 197, 200, 202, 203, 205, 206, 208, 209, 214, 215, 218, 221, 223, 224, 226, 227, 228, 229, 230, 233, 234, 235, 237, 238, 239, 240, 241, 244, 246 (31/250)	Nov 8, 2009
211...11	(19·10n-1)/9	n≤200	n=176, 178, 179, 183, 184, 185, 188, 189, 192, 194, 195, 196, 197, 200 (14/200)	Nov 7, 2009
233...33	(7·10n-1)/3	n≤200	n=173, 175, 177, 179, 182, 183, 185, 186, 187, 189, 191, 193, 194, 197, 199, 200 (16/200)	Nov 7, 2009
277...77	(25·10n-7)/9	n≤200	n=175, 177, 179, 181, 183, 184, 187, 192, 193, 195, 196, 197, 198, 199 (14/200)	Nov 7, 2009
299...99	3·10n-1	n≤200	n=171, 172, 174, 176, 177, 178, 180, 182, 191, 192, 195, 197, 198, 199 (14/200)	Nov 7, 2009
311...11	(28·10n-1)/9	n≤200	n=175, 176, 177, 178, 180, 181, 182, 184, 187, 188, 194, 196, 197, 198, 199, 200 (16/200)	Nov 6, 2009
377...77	(34·10n-7)/9	n≤200	n=173, 174, 175, 177, 178, 179, 180, 184, 185, 186, 189, 191, 192, 197, 198 (15/200)	Nov 6, 2009
411...11	(37·10n-1)/9	n≤200	n=173, 174, 177, 178, 183, 184, 185, 187, 189, 190, 191, 198, 199 (13/200)	Nov 6, 2009
433...33	(13·10n-1)/3	n≤200	n=173, 176, 177, 179, 180, 181, 182, 184, 187, 189, 190, 192, 193, 194, 196, 198, 200 (17/200)	Nov 6, 2009
477...77	(43·10n-7)/9	n≤250	n=207, 210, 215, 218, 221, 223, 225, 226, 227, 230, 232, 233, 235, 239, 240, 241, 242, 244, 245, 246, 247, 248, 249, 250 (24/250)	Nov 5, 2009
499...99	5·10n-1	n≤200	n=177, 182, 185, 186, 187, 189, 191, 193, 197, 198, 199 (11/200)	Nov 5, 2009
511...11	(46·10n-1)/9	n≤200	n=175, 176, 179, 180, 183, 184, 187, 188, 190, 192, 196, 197 (12/200)	Nov 4, 2009
533...33	(16·10n-1)/3	n≤250	n=181, 183, 185, 187, 189, 191, 193, 195, 197, 199, 213, 215, 217, 219, 221, 223, 225, 227, 229, 231, 235, 237 (22/250)	Nov 4, 2009
577...77	(52·10n-7)/9	n≤200	n=173, 176, 178, 182, 185, 188, 190, 191, 192, 195, 198, 200 (12/200)	Nov 4, 2009
599...99	6·10n-1	n≤200	n=172, 180, 190, 191, 193, 195, 196, 199 (8/200)	Nov 4, 2009
611...11	(55·10n-1)/9	n≤200	n=177, 179, 183, 185, 186, 188, 194, 196, 197, 198 (10/200)	Nov 4, 2009
677...77	(61·10n-7)/9	n≤200	n=176, 183, 184, 185, 189, 190, 191, 194, 196, 197, 200 (11/200)	Nov 4, 2009
711...11	(64·10n-1)/9	n≤350	n=205, 233, 245, 259, 263, 265, 271, 275, 277, 281, 283, 289, 293, 295, 299, 303, 305, 307, 311, 313, 315, 325, 329, 335, 337, 339, 341, 345, 347, 349 (30/350)	Oct 29, 2009
733...33	(22·10n-1)/3	n≤200	n=172, 173, 179, 180, 183, 185, 186, 188, 190, 192, 194, 197, 199 (13/200)	Oct 21, 2009
799...99	8·10n-1	n≤250	n=205, 217, 220, 223, 224, 226, 227, 235, 236, 239, 241, 244, 245, 248 (14/250)	Oct 22, 2009
811...11	(73·10n-1)/9	n≤250	n=188, 195, 199, 200, 201, 203, 204, 205, 206, 207, 210, 211, 212, 213, 214, 215, 218, 219, 220, 221, 222, 224, 225, 227, 229, 231, 233, 234, 235, 237, 239, 240, 241, 242, 243, 244, 246, 248, 249 (39/250)	Oct 28, 2009
833...33	(25·10n-1)/3	n≤250	n=203, 205, 207, 211, 213, 217, 221, 225, 227, 229, 233, 235, 239, 243, 245, 247, 249 (17/250)	Oct 22, 2009
877...77	(79·10n-7)/9	n≤200	n=177, 184, 185, 186, 188, 189, 190, 192, 193, 194, 195, 197, 198, 199 (14/200)	Oct 22, 2009
899...99	9·10n-1	n≤250	n=181, 185, 187, 189, 191, 197, 201, 203, 205, 207, 209, 211, 215, 217, 219, 221, 225, 231, 235, 237, 241, 243, 245, 247 (24/250)	Nov 12, 2009
911...11	(82·10n-1)/9	n≤200	n=172, 176, 177, 178, 180, 181, 182, 183, 188, 189, 191, 194 (12/200)	Oct 23, 2009
977...77	(88·10n-7)/9	n≤200	n=173, 175, 177, 179, 181, 182, 185, 187, 188, 189, 191, 193, 197, 198, 200 (15/200)	Oct 23, 2009

Near-repdigit palindrome numbers of the form AA...AABAA...AA

form	general term	range	terms which have not been factored yet	last update
11...11311...11	(102n+1+18·10n-1)/9	n≤75	Completed / Jun 29, 2005	Jan 18, 2009
11...11411...11	(102n+1+27·10n-1)/9	n≤75	Completed / Oct 13, 2005	Jan 18, 2009
11...11511...11	(102n+1+36·10n-1)/9	n≤75	Completed / Oct 9, 2005	Jan 18, 2009
11...11611...11	(102n+1+45·10n-1)/9	n≤75	Completed / Oct 14, 2005	Jan 18, 2009
11...11711...11	(102n+1+54·10n-1)/9	n≤75	Completed / Oct 15, 2005	Jan 18, 2009
11...11811...11	(102n+1+63·10n-1)/9	n≤75	Completed / Sep 29, 2005	Jan 18, 2009
11...11911...11	(102n+1+72·10n-1)/9	n≤75	Completed / Oct 15, 2005	Jan 18, 2009
33...33133...33	(102n+1-6·10n-1)/3	n≤75	Completed / Aug 19, 2005	Jan 18, 2009
33...33533...33	(102n+1+6·10n-1)/3	n≤75	Completed / Oct 11, 2005	Jan 18, 2009
33...33733...33	(102n+1+12·10n-1)/3	n≤75	Completed / Oct 18, 2005	Jan 18, 2009
33...33833...33	(102n+1+15·10n-1)/3	n≤75	Completed / Jul 11, 2005	Jan 18, 2009
77...77177...77	(7·102n+1-54·10n-7)/9	n≤75	Completed / Sep 26, 2005	Jan 18, 2009
77...77277...77	(7·102n+1-45·10n-7)/9	n≤75	Completed / Oct 11, 2005	Jan 18, 2009
77...77377...77	(7·102n+1-36·10n-7)/9	n≤75	Completed / Oct 3, 2005	Jan 18, 2009
77...77477...77	(7·102n+1-27·10n-7)/9	n≤75	Completed / Jun 6, 2005	Jan 18, 2009
77...77577...77	(7·102n+1-18·10n-7)/9	n≤75	Completed / Oct 17, 2005	Jan 18, 2009
77...77677...77	(7·102n+1-9·10n-7)/9	n≤75	Completed / Oct 20, 2005	Jan 18, 2009
77...77877...77	(7·102n+1+9·10n-7)/9	n≤75	Completed / Oct 13, 2005	Jan 18, 2009
77...77977...77	(7·102n+1+18·10n-7)/9	n≤75	Completed / Sep 28, 2005	Jan 18, 2009
99...99199...99	102n+1-8·10n-1	n≤75	Completed / Sep 6, 2005	Jan 18, 2009
99...99299...99	102n+1-7·10n-1	n≤75	Completed / Sep 20, 2005	Jan 18, 2009
99...99499...99	102n+1-5·10n-1	n≤75	Completed / Sep 26, 2005	Jan 18, 2009
99...99599...99	102n+1-4·10n-1	n≤75	Completed / Aug 13, 2005	Jan 18, 2009
99...99799...99	102n+1-2·10n-1	n≤75	Completed / Jul 26, 2005	Jan 18, 2009
99...99899...99	102n+1-10n-1	n≤75	Completed / Jun 3, 2005	Jan 18, 2009

Plateau and depression numbers of the form ABB...BBA

form	general term	range	terms which have not been factored yet	last update
133...331	(4·10n-7)/3	n≤200	n=175, 176, 181, 184, 186, 188, 192, 194, 198, 200 (10/200)	Nov 8, 2009
144...441	(13·10n-31)/9	n≤200	n=172, 180, 184, 188, 190, 195, 197, 199 (8/200)	Nov 8, 2009
155...551	(14·10n-41)/9	n≤200	n=173, 174, 180, 181, 187, 188, 189, 191, 192, 193, 194, 195, 196, 197, 199, 200 (16/200)	Nov 8, 2009
166...661	(5·10n-17)/3	n≤200	n=172, 175, 176, 180, 181, 184, 186, 187, 190, 194, 195, 196, 197, 200 (14/200)	Nov 8, 2009
177...771	(16·10n-61)/9	n≤250	n=173, 176, 177, 179, 182, 183, 184, 185, 188, 193, 194, 198, 202, 203, 204, 207, 208, 209, 212, 213, 216, 217, 218, 219, 222, 223, 230, 231, 232, 233, 234, 239, 242, 244, 248 (35/250)	Nov 8, 2009
188...881	(17·10n-71)/9	n≤200	n=174, 180, 181, 182, 183, 184, 185, 186, 189, 191, 192, 193, 195, 197, 198, 199, 200 (17/200)	Nov 8, 2009
199...991	2·10n-9	n≤200	n=174, 176, 178, 182, 185, 186, 188, 189, 190, 193, 195, 196, 197, 198, 199 (15/200)	Nov 8, 2009
311...113	(28·10n+17)/9	n≤200	n=172, 177, 178, 180, 182, 186, 187, 189, 194, 195, 198, 199, 200 (13/200)	Nov 5, 2009
322...223	(29·10n+7)/9	n≤200	n=172, 175, 177, 180, 182, 188, 190, 192, 193, 196, 198 (11/200)	Nov 5, 2009
344...443	(31·10n-13)/9	n≤200	n=171, 173, 180, 190, 193, 195, 197, 199, 200 (9/200)	Nov 5, 2009
355...553	(32·10n-23)/9	n≤200	n=174, 175, 180, 181, 184, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200 (15/200)	Nov 6, 2009
377...773	(34·10n-43)/9	n≤200	n=178, 181, 183, 187, 188, 189, 190, 192, 194, 195, 197, 198, 199, 200 (14/200)	Nov 6, 2009
388...883	(35·10n-53)/9	n≤200	n=173, 176, 179, 183, 184, 185, 187, 189, 190, 191, 195, 197, 200 (13/200)	Nov 6, 2009
711...117	(64·10n+53)/9	n≤250	n=179, 182, 187, 188, 189, 191, 195, 197, 200, 204, 207, 209, 210, 211, 212, 213, 216, 217, 222, 224, 227, 230, 231, 233, 235, 236, 237, 239, 240, 241, 243, 247, 249, 250 (34/250)	Oct 21, 2009
722...227	(65·10n+43)/9	n≤200	n=172, 176, 177, 179, 182, 184, 185, 191, 192, 194, 196, 197, 199 (13/200)	Oct 28, 2009
744...447	(67·10n+23)/9	n≤200	n=178, 180, 182, 192, 193, 194, 195, 196, 198 (9/200)	Oct 21, 2009
755...557	(68·10n+13)/9	n≤200	n=174, 175, 178, 181, 182, 186, 189, 190, 191, 193, 197, 199, 200 (13/200)	Oct 21, 2009
766...667	(23·10n+1)/3	n≤200	n=172, 176, 180, 181, 184, 186, 189, 190, 191, 192, 194, 197, 198, 199 (14/200)	Oct 21, 2009
788...887	(71·10n-17)/9	n≤200	n=173, 179, 180, 181, 185, 186, 189, 191, 193, 194, 195, 196, 198 (13/200)	Oct 21, 2009
799...997	8·10n-3	n≤200	n=174, 176, 177, 181, 186, 188, 190, 191, 193, 195, 199, 200 (12/200)	Oct 21, 2009
911...119	(82·10n+71)/9	n≤200	n=173, 174, 177, 179, 180, 181, 187, 189, 190, 192, 196, 198, 200 (13/200)	Oct 23, 2009
922...229	(83·10n+61)/9	n≤200	n=171, 173, 175, 177, 179, 181, 184, 187, 191, 192, 193, 195, 196, 197, 199, 200 (16/200)	Oct 23, 2009
944...449	(85·10n+41)/9	n≤200	n=172, 173, 175, 176, 178, 181, 182, 187, 188, 190, 191, 193, 194, 197, 198, 199 (16/200)	Oct 23, 2009
955...559	(86·10n+31)/9	n≤200	n=175, 179, 180, 183, 185, 186, 188, 191, 196, 198, 200 (11/200)	Oct 23, 2009
988...889	(89·10n+1)/9	n≤200	n=176, 182, 184, 188, 192, 195, 196, 198, 200 (9/200)	Oct 23, 2009

Quasi-repdigit numbers of the form ABB...BBC

form	general term	range	terms which have not been factored yet	last update
100...003	10n+3	n≤250	n=201, 203, 205, 216, 218, 219, 220, 221, 222, 223, 224, 226, 227, 228, 229, 230, 231, 233, 234, 236, 239, 240, 241, 242, 243, 244, 245, 247, 248, 250 (30/250)	Nov 8, 2009
100...007	10n+7	n≤200	n=180, 181, 182, 183, 189, 191, 192, 194, 196, 198, 199, 200 (12/200)	Nov 8, 2009
100...009	10n+9	n≤200	n=176, 179, 182, 183, 186, 190, 195, 196, 198 (9/200)	Nov 8, 2009
122...223	(11·10n+7)/9	n≤200	n=178, 180, 181, 182, 183, 188, 189, 190, 192, 194, 196, 197, 199, 200 (14/200)	Nov 8, 2009
122...227	(11·10n+43)/9	n≤200	n=172, 178, 182, 183, 185, 186, 187, 190, 191, 192, 194, 199 (12/200)	Nov 8, 2009
122...229	(11·10n+61)/9	n≤200	n=174, 176, 181, 183, 188, 189, 190, 191, 193, 194, 195, 196, 197, 199 (14/200)	Nov 8, 2009
133...337	(4·10n+11)/3	n≤200	n=179, 182, 183, 185, 189, 191, 193, 194, 195, 197, 200 (11/200)	Nov 8, 2009
133...339	(4·10n+17)/3	n≤200	n=172, 178, 179, 180, 183, 185, 188, 189, 191, 193, 197, 199 (12/200)	Nov 8, 2009
144...447	(13·10n+23)/9	n≤200	n=175, 176, 177, 179, 180, 186, 189, 190, 191, 192, 196, 197 (12/200)	Nov 8, 2009
144...449	(13·10n+41)/9	n≤200	n=171, 173, 180, 183, 185, 186, 188, 190, 192, 194, 197, 198, 200 (13/200)	Nov 8, 2009
155...553	(14·10n-23)/9	n≤200	n=174, 176, 177, 182, 184, 186, 187, 188, 191, 194, 195, 196, 197, 198 (14/200)	Nov 8, 2009
155...557	(14·10n+13)/9	n≤200	n=172, 173, 175, 176, 177, 180, 182, 186, 187, 188, 189, 190, 192, 194, 195, 196 (16/200)	Nov 8, 2009
155...559	(14·10n+31)/9	n≤200	n=172, 173, 178, 181, 185, 187, 189, 191, 193, 197, 199, 200 (12/200)	Nov 8, 2009
166...663	(5·10n-11)/3	n≤200	n=171, 178, 179, 180, 182, 183, 184, 185, 186, 191, 192, 194, 195, 196, 200 (15/200)	Nov 8, 2009
166...667	(5·10n+1)/3	n≤200	n=177, 180, 182, 183, 184, 187, 188, 190, 191, 194, 197, 198 (12/200)	Nov 8, 2009
166...669	(5·10n+7)/3	n≤200	n=175, 176, 183, 192, 194, 196, 199, 200 (8/200)	Nov 8, 2009
177...773	(16·10n-43)/9	n≤200	n=174, 175, 179, 182, 183, 186, 189, 197, 198, 200 (10/200)	Nov 8, 2009
177...779	(16·10n+11)/9	n≤200	n=174, 175, 182, 185, 189, 191, 192, 193, 194, 197, 199, 200 (12/200)	Nov 8, 2009
188...883	(17·10n-53)/9	n≤200	n=175, 177, 179, 180, 181, 184, 188, 192, 193, 194, 195, 196 (12/200)	Nov 8, 2009
188...889	(17·10n+1)/9	n≤200	n=172, 175, 176, 177, 178, 180, 182, 186, 187, 191, 193, 194, 197, 198, 199 (15/200)	Nov 8, 2009
199...993	2·10n-7	n≤200	n=173, 179, 181, 182, 190, 193, 194, 195, 196, 197, 199 (11/200)	Nov 8, 2009
199...997	2·10n-3	n≤200	n=172, 178, 179, 183, 185, 187, 193, 195, 196 (9/200)	Nov 8, 2009
200...003	2·10n+3	n≤200	n=177, 179, 180, 181, 182, 186, 190, 192, 193, 194, 196, 198, 199, 200 (14/200)	Nov 6, 2009
200...009	2·10n+9	n≤200	Completed / Nov 3, 2009	Nov 6, 2009
211...113	(19·10n+17)/9	n≤200	n=174, 183, 186, 187, 188, 189, 193, 194, 196 (9/200)	Nov 6, 2009
211...117	(19·10n+53)/9	n≤200	n=174, 178, 180, 185, 186, 188, 191, 192, 195, 199 (10/200)	Nov 6, 2009
211...119	(19·10n+71)/9	n≤200	n=174, 179, 180, 182, 183, 185, 186, 188, 189, 191, 192, 194, 195, 198, 199, 200 (16/200)	Nov 6, 2009
233...339	(7·10n+17)/3	n≤200	n=175, 176, 181, 186, 188, 190, 192, 193, 196, 197 (10/200)	Nov 6, 2009
244...441	(22·10n-31)/9	n≤200	n=175, 176, 177, 178, 181, 187, 189, 190, 191, 195, 196, 198 (12/200)	Nov 6, 2009
244...443	(22·10n-13)/9	n≤205	n=175, 180, 181, 188, 189, 193, 194, 197, 198, 201, 203, 205 (12/205)	Nov 6, 2009
244...447	(22·10n+23)/9	n≤205	n=172, 173, 179, 182, 185, 186, 187, 189, 190, 192, 193, 195, 196, 198, 200, 201, 203 (17/205)	Nov 6, 2009
244...449	(22·10n+41)/9	n≤205	n=175, 177, 178, 179, 185, 188, 190, 191, 192, 193, 194, 199, 200, 202, 205 (15/205)	Nov 6, 2009
255...551	(23·10n-41)/9	n≤205	n=174, 175, 181, 182, 184, 187, 192, 193, 194, 197, 200, 202, 205 (13/205)	Nov 6, 2009
255...557	(23·10n+13)/9	n≤205	n=175, 176, 177, 181, 182, 185, 190, 192, 193, 194, 195, 196, 199 (13/205)	Nov 6, 2009
255...559	(23·10n+31)/9	n≤205	n=173, 175, 176, 178, 179, 180, 182, 183, 185, 188, 189, 190, 191, 192, 195, 197, 199, 200, 201, 202, 205 (21/205)	Nov 6, 2009
266...663	(8·10n-11)/3	n≤205	n=175, 177, 178, 181, 182, 183, 184, 185, 189, 190, 191, 193, 194, 195, 198, 199, 200, 201, 202, 204, 205 (21/205)	Nov 6, 2009
266...669	(8·10n+7)/3	n≤225	n=202, 205, 206, 207, 208, 209, 210, 212, 213, 214, 215, 216, 217, 218, 223, 224, 225 (17/225)	Nov 6, 2009
277...771	(25·10n-61)/9	n≤205	n=175, 176, 178, 179, 180, 183, 186, 187, 188, 192, 198, 200, 201 (13/205)	Nov 6, 2009
277...773	(25·10n-43)/9	n≤205	n=174, 175, 178, 187, 188, 190, 191, 192, 193, 194, 196, 199, 200, 201, 204 (15/205)	Nov 14, 2009
277...779	(25·10n+11)/9	n≤205	n=174, 175, 176, 178, 179, 180, 182, 186, 187, 188, 189, 190, 193, 195, 198, 199, 201, 203 (18/205)	Nov 7, 2009
288...881	(26·10n-71)/9	n≤205	n=174, 175, 177, 178, 179, 180, 184, 185, 189, 190, 191, 196, 200, 202, 204 (15/205)	Nov 7, 2009
288...883	(26·10n-53)/9	n≤205	n=177, 178, 179, 182, 183, 184, 187, 188, 190, 191, 192, 194, 199, 200, 201, 203, 205 (17/205)	Nov 7, 2009
288...887	(26·10n-17)/9	n≤205	n=184, 186, 189, 191, 194, 198, 199, 200, 201, 202, 205 (11/205)	Nov 7, 2009
288...889	(26·10n+1)/9	n≤205	n=174, 175, 176, 177, 180, 182, 183, 184, 185, 186, 187, 190, 191, 192, 196, 198, 199, 200, 201, 202, 204, 205 (22/205)	Nov 7, 2009
299...993	3·10n-7	n≤200	n=176, 180, 188, 191, 193, 194, 195, 196, 198 (9/200)	Nov 7, 2009
300...001	3·10n+1	n≤200	n=173, 174, 175, 176, 182, 183, 193, 194, 195, 196, 197, 200 (12/200)	Nov 5, 2009
300...007	3·10n+7	n≤200	n=178, 180, 182, 183, 187, 188, 189, 190, 192, 195, 196, 199, 200 (13/200)	Nov 5, 2009
311...117	(28·10n+53)/9	n≤205	n=176, 178, 180, 181, 184, 190, 191, 196, 199, 201, 202, 203, 204 (13/205)	Nov 5, 2009
311...119	(28·10n+71)/9	n≤205	n=175, 183, 187, 188, 190, 192, 195, 198, 199, 200, 203, 204, 205 (13/205)	Nov 5, 2009
322...221	(29·10n-11)/9	n≤205	n=173, 174, 175, 180, 181, 184, 186, 187, 188, 189, 194, 195, 196, 197, 200, 202, 203, 205 (18/205)	Nov 5, 2009
322...227	(29·10n+43)/9	n≤205	n=171, 174, 177, 182, 183, 185, 187, 189, 191, 194, 195, 198, 200, 202, 203, 204, 205 (17/205)	Nov 5, 2009
322...229	(29·10n+61)/9	n≤205	n=171, 173, 175, 177, 178, 179, 181, 182, 185, 188, 189, 191, 196, 199, 203, 204 (16/205)	Nov 5, 2009
344...447	(31·10n+23)/9	n≤205	n=174, 178, 179, 180, 181, 183, 186, 187, 188, 189, 193, 194, 196, 197, 198, 201, 203 (17/205)	Nov 6, 2009
344...449	(31·10n+41)/9	n≤205	n=174, 175, 177, 181, 182, 183, 187, 188, 190, 193, 194, 196, 197, 198, 201, 202, 204 (17/205)	Nov 6, 2009
355...551	(32·10n-41)/9	n≤205	n=174, 176, 179, 180, 184, 185, 189, 191, 192, 195, 199, 200, 202 (13/205)	Nov 6, 2009
355...557	(32·10n+13)/9	n≤205	n=174, 178, 179, 182, 183, 184, 185, 186, 190, 192, 196, 197, 198, 199, 203, 204 (16/205)	Nov 6, 2009
355...559	(32·10n+31)/9	n≤205	n=175, 182, 183, 184, 187, 191, 192, 197, 198, 203, 205 (11/205)	Nov 6, 2009
366...661	(11·10n-17)/3	n≤205	n=174, 179, 182, 186, 187, 189, 190, 192, 200, 202, 203 (11/205)	Nov 6, 2009
366...667	(11·10n+1)/3	n≤205	n=175, 176, 178, 179, 181, 183, 184, 185, 186, 188, 189, 190, 195, 197, 198, 200, 203, 204, 205 (19/205)	Nov 6, 2009
377...771	(34·10n-61)/9	n≤205	n=172, 176, 179, 187, 191, 192, 193, 194, 195, 196, 197, 201, 204, 205 (14/205)	Nov 6, 2009
377...779	(34·10n+11)/9	n≤205	n=174, 176, 178, 179, 182, 183, 187, 188, 189, 197, 199, 200, 201, 203, 204, 205 (16/205)	Nov 6, 2009
388...881	(35·10n-71)/9	n≤205	n=172, 173, 174, 181, 183, 184, 185, 186, 190, 194, 195, 197, 198, 201, 202, 204, 205 (17/205)	Nov 6, 2009
388...887	(35·10n-17)/9	n≤205	n=175, 177, 183, 185, 188, 190, 195, 197, 198, 199, 200, 201, 204 (13/205)	Nov 6, 2009
388...889	(35·10n+1)/9	n≤205	n=172, 175, 176, 181, 182, 185, 186, 195, 196, 197, 200, 201, 202, 205 (14/205)	Nov 6, 2009
399...991	4·10n-9	n≤250	n=189, 191, 193, 203, 205, 207, 209, 211, 213, 221, 225, 235, 237, 239, 243, 245, 247, 249 (18/250)	Nov 6, 2009
399...997	4·10n-3	n≤200	n=174, 177, 181, 184, 185, 186, 188, 189, 190, 191, 192, 193, 199 (13/200)	Nov 6, 2009
400...001	4·10n+1	n≤250	n=202, 206, 210, 211, 213, 215, 219, 222, 225, 226, 227, 231, 233, 235, 237, 238, 239, 243, 245, 246, 247, 250 (22/250)	Nov 4, 2009
400...003	4·10n+3	n≤200	n=179, 189, 190, 191, 193, 195, 199, 200 (8/200)	Nov 4, 2009
400...007	4·10n+7	n≤200	n=171, 174, 176, 178, 179, 184, 186, 187, 188, 192, 193, 197, 199 (13/200)	Nov 6, 2009
400...009	4·10n+9	n≤250	n=184, 186, 190, 197, 201, 204, 207, 208, 209, 211, 214, 215, 218, 220, 221, 223, 224, 225, 226, 227, 228, 230, 231, 232, 233, 234, 235, 238, 239, 240, 241, 244, 245, 246, 247, 248, 249 (37/250)	Nov 4, 2009
411...113	(37·10n+17)/9	n≤205	n=171, 176, 179, 181, 183, 184, 185, 187, 188, 189, 191, 192, 193, 194, 197, 198, 199, 202 (18/205)	Nov 4, 2009
411...117	(37·10n+53)/9	n≤205	n=174, 175, 180, 181, 182, 183, 184, 185, 191, 192, 193, 194, 197, 198, 202, 203, 204, 205 (18/205)	Nov 4, 2009
411...119	(37·10n+71)/9	n≤205	n=185, 188, 189, 190, 195, 196, 197, 204 (8/205)	Nov 4, 2009
422...221	(38·10n-11)/9	n≤205	n=171, 176, 179, 180, 182, 186, 190, 193, 194, 197, 198, 199, 201, 202, 203, 204, 205 (17/205)	Nov 4, 2009
422...223	(38·10n+7)/9	n≤205	n=173, 175, 178, 179, 180, 184, 186, 187, 188, 190, 192, 194, 196, 197, 198, 199, 200, 201, 202, 203, 204 (21/205)	Nov 4, 2009
422...227	(38·10n+43)/9	n≤205	n=171, 174, 179, 182, 185, 187, 190, 191, 194, 199, 200, 201, 202 (13/205)	Nov 4, 2009
422...229	(38·10n+61)/9	n≤205	n=172, 175, 179, 183, 184, 188, 189, 193, 197, 201, 202, 204, 205 (13/205)	Nov 4, 2009
433...331	(13·10n-7)/3	n≤205	n=175, 176, 181, 183, 184, 186, 192, 193, 195, 200, 201 (11/205)	Nov 4, 2009
433...337	(13·10n+11)/3	n≤205	n=178, 179, 181, 184, 186, 187, 188, 195, 198, 199, 200, 203, 204 (13/205)	Nov 5, 2009
433...339	(13·10n+17)/3	n≤205	n=171, 179, 187, 191, 196, 197, 198, 200, 201, 202 (10/205)	Nov 5, 2009
455...553	(41·10n-23)/9	n≤205	n=172, 175, 179, 187, 188, 189, 190, 192, 193, 195, 196, 199, 201, 202, 204 (15/205)	Nov 5, 2009
455...557	(41·10n+13)/9	n≤205	n=177, 178, 179, 186, 190, 191, 192, 193, 195, 197, 199, 202, 203, 204 (14/205)	Nov 17, 2009
455...559	(41·10n+31)/9	n≤205	n=174, 175, 176, 180, 183, 187, 188, 193, 194, 197, 201, 205 (12/205)	Nov 5, 2009
466...661	(14·10n-17)/3	n≤205	n=176, 177, 178, 179, 181, 183, 184, 186, 187, 188, 190, 193, 197, 198, 199, 202, 203, 205 (18/205)	Nov 5, 2009
466...663	(14·10n-11)/3	n≤205	n=174, 176, 177, 180, 181, 182, 183, 184, 186, 187, 188, 189, 190, 191, 192, 196, 198, 199, 202, 203 (20/205)	Nov 5, 2009
466...667	(14·10n+1)/3	n≤205	n=176, 177, 181, 186, 187, 188, 189, 190, 191, 198, 201, 202, 203, 205 (14/205)	Nov 5, 2009
477...771	(43·10n-61)/9	n≤205	n=172, 175, 178, 183, 185, 186, 188, 191, 194, 195, 197, 198, 200, 203 (14/205)	Nov 5, 2009
477...779	(43·10n+11)/9	n≤205	n=174, 176, 177, 181, 187, 188, 191, 194, 195, 196, 201, 202, 205 (13/205)	Nov 5, 2009
488...881	(44·10n-71)/9	n≤205	n=175, 180, 181, 183, 184, 185, 188, 190, 191, 192, 194, 195, 197, 199, 200, 201, 202, 204 (18/205)	Nov 6, 2009
488...883	(44·10n-53)/9	n≤205	n=174, 176, 177, 179, 180, 181, 182, 183, 184, 185, 188, 189, 191, 193, 194, 197, 198, 201, 203, 204 (20/205)	Nov 5, 2009
488...887	(44·10n-17)/9	n≤205	n=172, 174, 179, 183, 184, 185, 187, 189, 190, 194, 196, 198, 199, 200, 201, 203, 205 (17/205)	Nov 5, 2009
488...889	(44·10n+1)/9	n≤205	n=174, 177, 178, 181, 183, 188, 190, 191, 193, 194, 196, 198, 199, 200, 201, 202, 203 (17/205)	Nov 5, 2009
499...991	5·10n-9	n≤200	n=175, 176, 177, 178, 181, 182, 183, 186, 187, 188, 192, 195, 196, 200 (14/200)	Nov 5, 2009
499...993	5·10n-7	n≤200	n=172, 177, 183, 185, 187, 191, 192, 198 (8/200)	Nov 6, 2009
499...997	5·10n-3	n≤200	n=173, 175, 176, 181, 183, 185, 187, 188, 189, 190, 191, 194, 195, 197, 200 (15/200)	Nov 6, 2009
500...003	5·10n+3	n≤200	n=174, 177, 178, 182, 184, 190, 193, 194, 195, 197, 199, 200 (12/200)	Nov 4, 2009
500...009	5·10n+9	n≤200	n=172, 176, 180, 181, 182, 183, 184, 185, 190, 193, 197, 198, 199, 200 (14/200)	Nov 4, 2009
511...113	(46·10n+17)/9	n≤205	n=174, 175, 182, 183, 187, 188, 189, 190, 191, 192, 193, 196, 199, 201, 203, 204, 205 (17/205)	Nov 4, 2009
511...117	(46·10n+53)/9	n≤205	n=173, 178, 179, 180, 181, 183, 184, 188, 189, 190, 191, 192, 194, 197, 199, 203, 205 (17/205)	Nov 4, 2009
511...119	(46·10n+71)/9	n≤205	n=174, 177, 179, 181, 183, 184, 185, 186, 187, 190, 191, 192, 194, 197, 201, 202, 203, 204, 205 (19/205)	Nov 4, 2009
522...221	(47·10n-11)/9	n≤205	n=173, 174, 175, 178, 180, 181, 182, 184, 185, 186, 187, 191, 194, 195, 196, 199, 203, 205 (18/205)	Nov 4, 2009
522...223	(47·10n+7)/9	n≤205	n=172, 175, 176, 180, 182, 189, 192, 198, 201, 203, 205 (11/205)	Nov 4, 2009
522...227	(47·10n+43)/9	n≤205	n=173, 175, 176, 178, 183, 184, 187, 190, 191, 192, 196, 199, 201, 202, 203, 205 (16/205)	Nov 4, 2009
522...229	(47·10n+61)/9	n≤205	n=176, 177, 178, 180, 181, 183, 185, 189, 190, 192, 194, 200, 201, 202, 204, 205 (16/205)	Nov 4, 2009
533...339	(16·10n+17)/3	n≤205	n=172, 173, 174, 176, 179, 181, 184, 185, 187, 188, 189, 191, 192, 198, 199, 201, 202, 204, 205 (19/205)	Nov 4, 2009
544...441	(49·10n-31)/9	n≤205	n=175, 177, 179, 180, 181, 182, 183, 184, 186, 189, 190, 192, 193, 194, 195, 200, 201, 204 (18/205)	Nov 4, 2009
544...443	(49·10n-13)/9	n≤205	n=174, 175, 176, 179, 181, 187, 189, 191, 192, 195, 197, 201, 203, 204 (14/205)	Nov 4, 2009
544...447	(49·10n+23)/9	n≤205	n=172, 176, 179, 182, 184, 186, 188, 191, 193, 194, 196, 199, 201, 202, 203, 204, 205 (17/205)	Nov 4, 2009
544...449	(49·10n+41)/9	n≤205	n=179, 180, 181, 182, 183, 185, 189, 190, 191, 192, 193, 195, 202, 203, 204 (15/205)	Nov 6, 2009
566...663	(17·10n-11)/3	n≤205	n=173, 174, 176, 178, 181, 182, 184, 187, 188, 189, 190, 192, 197, 198, 199, 203, 204, 205 (18/205)	Nov 4, 2009
566...669	(17·10n+7)/3	n≤205	n=172, 175, 177, 178, 179, 181, 184, 186, 188, 189, 191, 193, 194, 196, 197, 198, 199, 201, 202, 203 (20/205)	Nov 4, 2009
577...771	(52·10n-61)/9	n≤205	n=175, 176, 179, 181, 182, 183, 188, 190, 192, 194, 195, 196, 197, 198, 199, 201, 202, 204 (18/205)	Nov 4, 2009
577...773	(52·10n-43)/9	n≤205	n=172, 174, 177, 179, 180, 182, 185, 186, 187, 188, 189, 190, 191, 194, 196, 198, 199, 201, 202, 203, 204, 205 (22/205)	Nov 4, 2009
577...779	(52·10n+11)/9	n≤205	n=171, 176, 179, 185, 186, 187, 191, 192, 193, 194, 198, 202, 203, 205 (14/205)	Nov 4, 2009
588...881	(53·10n-71)/9	n≤205	n=172, 174, 176, 177, 179, 180, 182, 184, 186, 187, 188, 189, 190, 198, 199, 200, 201, 202, 203, 205 (20/205)	Nov 4, 2009
588...887	(53·10n-17)/9	n≤205	n=173, 174, 175, 181, 182, 183, 185, 186, 188, 189, 190, 192, 193, 196, 199, 204, 205 (17/205)	Nov 4, 2009
588...889	(53·10n+1)/9	n≤205	n=175, 177, 181, 182, 184, 186, 188, 189, 191, 192, 194, 196, 198, 200, 201, 203, 205 (17/205)	Nov 4, 2009
599...993	6·10n-7	n≤200	n=174, 177, 178, 181, 182, 186, 187, 188, 191, 192, 195, 198, 199, 200 (14/200)	Nov 4, 2009
600...001	6·10n+1	n≤250	n=201, 203, 204, 206, 207, 208, 209, 210, 212, 213, 215, 216, 217, 218, 219, 220, 222, 223, 226, 227, 228, 231, 232, 233, 234, 235, 237, 238, 239, 240, 242, 243, 245, 246, 247, 249 (36/250)	Nov 4, 2009
600...007	6·10n+7	n≤200	n=174, 175, 177, 181, 184, 186, 189, 190, 191, 193, 196, 197, 199 (13/200)	Nov 4, 2009
611...113	(55·10n+17)/9	n≤205	n=174, 176, 177, 178, 182, 184, 185, 186, 187, 195, 196, 197, 202, 204, 205 (15/205)	Nov 17, 2009
611...117	(55·10n+53)/9	n≤205	n=174, 175, 176, 177, 180, 181, 182, 183, 185, 187, 188, 189, 190, 193, 195, 196, 201, 203 (18/205)	Nov 4, 2009
611...119	(55·10n+71)/9	n≤205	n=175, 177, 178, 179, 180, 184, 185, 187, 188, 189, 193, 194, 195, 198, 200, 202, 203, 204 (18/205)	Nov 4, 2009
622...221	(56·10n-11)/9	n≤205	n=172, 177, 181, 184, 187, 188, 191, 193, 195, 196, 197, 200, 202, 203, 204, 205 (16/205)	Nov 4, 2009
622...227	(56·10n+43)/9	n≤205	n=177, 180, 182, 183, 185, 187, 188, 192, 194, 195, 196, 197, 198, 201 (14/205)	Nov 4, 2009
622...229	(56·10n+61)/9	n≤205	n=171, 172, 178, 179, 181, 182, 183, 184, 188, 189, 193, 194, 195, 197, 198, 202, 203, 204, 205 (19/205)	Nov 4, 2009
633...331	(19·10n-7)/3	n≤205	n=171, 173, 174, 177, 182, 187, 189, 191, 192, 193, 194, 195, 196, 198, 199, 201, 202 (17/205)	Nov 4, 2009
633...337	(19·10n+11)/3	n≤205	n=173, 174, 177, 179, 180, 183, 186, 187, 188, 190, 193, 195, 196, 198, 200, 203, 204 (17/205)	Nov 4, 2009
644...441	(58·10n-31)/9	n≤205	n=176, 180, 183, 184, 185, 186, 187, 190, 191, 192, 194, 197, 198, 199, 200, 201, 203, 204, 205 (19/205)	Nov 4, 2009
644...443	(58·10n-13)/9	n≤205	n=176, 178, 181, 184, 187, 188, 193, 194, 196, 197, 199, 200, 202, 203, 204, 205 (16/205)	Nov 4, 2009
644...447	(58·10n+23)/9	n≤205	n=173, 174, 177, 178, 180, 181, 182, 183, 184, 188, 189, 190, 192, 193, 195, 196, 199, 202, 203, 204, 205 (21/205)	Nov 4, 2009
644...449	(58·10n+41)/9	n≤205	n=176, 178, 181, 182, 183, 184, 185, 186, 191, 193, 196, 197, 198, 199, 201, 202 (16/205)	Nov 4, 2009
655...551	(59·10n-41)/9	n≤205	n=173, 174, 180, 181, 183, 189, 190, 191, 196, 197, 198, 199, 200, 201, 203, 204 (16/205)	Nov 19, 2009
655...553	(59·10n-23)/9	n≤205	n=171, 181, 183, 186, 189, 191, 192, 193, 194, 196, 201, 205 (12/205)	Nov 4, 2009
655...557	(59·10n+13)/9	n≤200	n=158, 161, 170, 171, 172, 173, 175, 182, 183, 186, 187, 190, 192, 193, 195, 196, 199, 200 (18/200)	Nov 20, 2009
655...559	(59·10n+31)/9	n≤200	n=161, 167, 172, 176, 182, 183, 184, 186, 187, 188, 191, 193, 194, 195, 197, 198 (16/200)	Nov 20, 2009
677...773	(61·10n-43)/9	n≤200	n=166, 172, 175, 177, 185, 187, 190, 194, 195, 196, 197, 198, 199 (13/200)	Nov 17, 2009
677...779	(61·10n+11)/9	n≤150	Completed / Nov 15, 2009	Nov 16, 2009
688...881	(62·10n-71)/9	n≤200	n=164, 172, 173, 175, 177, 179, 181, 182, 183, 185, 187, 190, 194, 196, 197, 198 (16/200)	Nov 18, 2009
688...883	(62·10n-53)/9	n≤150	Completed / Nov 4, 2009	Nov 5, 2009
688...887	(62·10n-17)/9	n≤150	Completed / Nov 7, 2009	Nov 8, 2009
688...889	(62·10n+1)/9	n≤150	Completed / Nov 4, 2009	Nov 5, 2009
699...991	7·10n-9	n≤200	n=177, 179, 183, 185, 188, 189, 192, 193, 195 (9/200)	Nov 4, 2009
699...997	7·10n-3	n≤200	n=180, 182, 184, 188, 189, 192, 196, 197, 198, 199 (10/200)	Nov 4, 2009
700...001	7·10n+1	n≤200	n=172, 177, 180, 181, 184, 185, 186, 191, 193, 195, 196, 197, 199 (13/200)	Oct 21, 2009
700...003	7·10n+3	n≤200	n=173, 179, 180, 181, 183, 184, 186, 195, 196, 197, 198 (11/200)	Nov 7, 2009
700...009	7·10n+9	n≤200	n=183, 185, 186, 190, 193, 194, 197, 198, 200 (9/200)	Oct 21, 2009
711...113	(64·10n+17)/9	n≤200	n=161, 164, 165, 168, 169, 170, 173, 174, 175, 177, 178, 181, 182, 184, 185, 186, 187, 191, 192, 193, 194, 195, 196, 197, 200 (25/200)	Nov 13, 2009
711...119	(64·10n+71)/9	n≤200	n=166, 169, 171, 174, 175, 176, 179, 180, 181, 186, 187, 188, 189, 190, 191, 192, 194, 195, 196, 197, 198, 199, 200 (23/200)	Nov 18, 2009
722...221	(65·10n-11)/9	n≤200	n=161, 162, 164, 165, 166, 172, 175, 180, 182, 183, 186, 189, 190, 191, 192, 195, 197 (17/200)	Nov 14, 2009
722...223	(65·10n+7)/9	n≤200	n=163, 165, 166, 168, 172, 182, 185, 187, 192, 195, 196, 197, 198, 199, 200 (15/200)	Nov 20, 2009
722...229	(65·10n+61)/9	n≤200	n=164, 166, 168, 171, 172, 174, 175, 177, 178, 181, 182, 183, 185, 186, 188, 191, 192, 193, 194, 196, 198 (21/200)	Nov 20, 2009
733...331	(22·10n-7)/3	n≤200	n=164, 166, 172, 177, 180, 182, 187, 189, 190, 191, 192, 193, 195, 196, 197, 198, 199, 200 (18/200)	Nov 16, 2009
733...339	(22·10n+17)/3	n≤200	n=163, 165, 169, 170, 171, 172, 175, 176, 178, 181, 183, 186, 187, 188, 189, 192, 193, 194, 195, 196, 197, 200 (22/200)	Nov 20, 2009
744...441	(67·10n-31)/9	n≤200	n=166, 171, 174, 176, 177, 180, 185, 186, 189, 190, 196, 198 (12/200)	Nov 19, 2009
744...443	(67·10n-13)/9	n≤200	n=165, 166, 168, 170, 172, 177, 178, 179, 180, 181, 182, 186, 189, 190, 191, 192, 193, 196 (18/200)	Nov 20, 2009
744...449	(67·10n+41)/9	n≤200	n=160, 161, 167, 171, 172, 173, 175, 179, 180, 183, 184, 185, 187, 188, 189, 190, 193, 194, 195, 196, 197, 200 (22/200)	Nov 18, 2009
755...551	(68·10n-41)/9	n≤100	Completed / Jan 6, 2005	Nov 19, 2009
755...553	(68·10n-23)/9	n≤100	Completed / Dec 6, 2004	Oct 21, 2009
755...559	(68·10n+31)/9	n≤100	Completed / Nov 29, 2004	Oct 21, 2009
766...661	(23·10n-17)/3	n≤100	Completed / Jan 7, 2005	Oct 21, 2009
766...663	(23·10n-11)/3	n≤100	Completed / Jan 7, 2005	Oct 21, 2009
766...669	(23·10n+7)/3	n≤100	Completed / Jan 7, 2005	Oct 21, 2009
788...883	(71·10n-53)/9	n≤100	Completed / Jan 7, 2005	Oct 21, 2009
788...889	(71·10n+1)/9	n≤100	Completed / Dec 6, 2004	Oct 21, 2009
799...991	8·10n-9	n≤200	n=177, 186, 188, 189, 191, 196, 197 (7/200)	Oct 21, 2009
799...993	8·10n-7	n≤200	n=173, 176, 178, 180, 185, 187, 190, 192, 193, 197, 198, 199, 200 (13/200)	Oct 21, 2009
800...003	8·10n+3	n≤200	n=173, 174, 179, 180, 182, 183, 184, 186, 188, 190, 191, 192, 193, 195, 197, 199, 200 (17/200)	Oct 22, 2009
800...009	8·10n+9	n≤200	n=178, 179, 191, 192, 193, 195, 196 (7/200)	Oct 22, 2009
811...113	(73·10n+17)/9	n≤100	Completed / Jan 7, 2005	Oct 22, 2009
811...117	(73·10n+53)/9	n≤100	Completed / Jan 7, 2005	Oct 22, 2009
811...119	(73·10n+71)/9	n≤100	Completed / Jan 6, 2005	Oct 22, 2009
822...221	(74·10n-11)/9	n≤100	Completed / Jan 7, 2005	Oct 22, 2009
822...223	(74·10n+7)/9	n≤100	Completed / Jan 7, 2005	Oct 22, 2009
822...227	(74·10n+43)/9	n≤100	Completed / Jan 7, 2005	Oct 22, 2009
822...229	(74·10n+61)/9	n≤100	Completed / Jan 6, 2005	Oct 22, 2009
833...339	(25·10n+17)/3	n≤100	Completed / Jan 7, 2005	Oct 22, 2009
844...441	(76·10n-31)/9	n≤100	Completed / Jan 7, 2005	Oct 22, 2009
844...443	(76·10n-13)/9	n≤100	Completed / Jan 7, 2005	Oct 22, 2009
844...447	(76·10n+23)/9	n≤100	Completed / Jan 6, 2005	Oct 22, 2009
844...449	(76·10n+41)/9	n≤100	Completed / Jan 7, 2005	Oct 22, 2009
855...551	(77·10n-41)/9	n≤100	Completed / Dec 6, 2004	Oct 22, 2009
855...553	(77·10n-23)/9	n≤100	Completed / Jan 8, 2005	Oct 22, 2009
855...557	(77·10n+13)/9	n≤100	Completed / Dec 6, 2004	Oct 22, 2009
855...559	(77·10n+31)/9	n≤100	Completed / Jan 8, 2005	Oct 22, 2009
866...663	(26·10n-11)/3	n≤200	n=161, 163, 166, 167, 169, 172, 173, 175, 176, 179, 186, 190, 194, 196, 198, 199, 200 (17/200)	Nov 17, 2009
866...669	(26·10n+7)/3	n≤100	Completed / Jan 8, 2005	Oct 22, 2009
877...771	(79·10n-61)/9	n≤100	Completed / Jan 8, 2005	Oct 22, 2009
877...773	(79·10n-43)/9	n≤100	Completed / Nov 29, 2004	Oct 22, 2009
877...779	(79·10n+11)/9	n≤100	Completed / Jan 8, 2005	Oct 22, 2009
899...993	9·10n-7	n≤200	n=172, 175, 176, 177, 179, 183, 185, 186, 187, 189, 190, 193, 197, 198, 200 (15/200)	Oct 22, 2009
900...001	9·10n+1	n≤200	n=176, 178, 179, 181, 182, 185, 187, 188, 191, 195, 196, 199, 200 (13/200)	Oct 23, 2009
900...007	9·10n+7	n≤200	n=172, 178, 187, 188, 190, 193, 194, 195, 197, 198 (10/200)	Oct 23, 2009
911...113	(82·10n+17)/9	n≤100	Completed / Dec 7, 2004	Oct 23, 2009
911...117	(82·10n+53)/9	n≤100	Completed / Jan 8, 2005	Oct 23, 2009
922...221	(83·10n-11)/9	n≤100	Completed / Jan 8, 2005	Oct 23, 2009
922...223	(83·10n+7)/9	n≤200	n=165, 167, 168, 171, 173, 174, 175, 179, 180, 184, 185, 188, 189, 191, 192, 193, 194, 196, 197, 200 (20/200)	Nov 14, 2009
922...227	(83·10n+43)/9	n≤100	Completed / Jan 8, 2005	Oct 23, 2009
933...337	(28·10n+11)/3	n≤100	Completed / Dec 1, 2004	Oct 23, 2009
944...441	(85·10n-31)/9	n≤100	Completed / Dec 7, 2004	Oct 23, 2009
944...443	(85·10n-13)/9	n≤100	Completed / Jan 8, 2005	Oct 23, 2009
944...447	(85·10n+23)/9	n≤100	Completed / Jan 8, 2005	Oct 23, 2009
955...551	(86·10n-41)/9	n≤100	Completed / Jan 8, 2005	Oct 23, 2009
955...553	(86·10n-23)/9	n≤100	Completed / Nov 29, 2004	Oct 23, 2009
955...557	(86·10n+13)/9	n≤100	Completed / Jan 8, 2005	Oct 23, 2009
966...661	(29·10n-17)/3	n≤100	Completed / Jan 6, 2005	Oct 23, 2009
966...667	(29·10n+1)/3	n≤100	Completed / Jan 8, 2005	Oct 23, 2009
977...771	(88·10n-61)/9	n≤100	Completed / Jan 8, 2005	Oct 23, 2009
977...773	(88·10n-43)/9	n≤100	Completed / Dec 7, 2004	Oct 23, 2009
988...881	(89·10n-71)/9	n≤100	Completed / Jan 8, 2005	Oct 23, 2009
988...883	(89·10n-53)/9	n≤100	Completed / Jan 8, 2005	Oct 23, 2009
988...887	(89·10n-17)/9	n≤100	Completed / Jan 8, 2005	Oct 23, 2009

10. List of near-repdigit-related prime numbers

• primesize.txt sorted by size, 100 digits or more
• primecount.txt sorted by count
• primedifficulty.txt sorted by difficulty

11. Expression generator of near-repdigit-related numbers

For example, enter "33331" or "3w1" to the left box, and click "→" button. The corresponding expression appears in the right box. More complex labels, such as "1w2w3w", are also available. This program is written in JavaScript.

12. Implementations

• GMP-ECM - INRIAGforge: GMP-ECM (Elliptic Curve Method): Project Info
• GGNFS - GGNFS suite | Get GGNFS suite at SourceForge.net
• Msieve - Msieve | Get Msieve at SourceForge.net
• PFGW - OpenPFGW | Get OpenPFGW at SourceForge.net
• Primo - Primo - Primality Proving
• YAFU - bbuhrow - YAFU's Homepage
• Windows Factoring Software Binaries (64bit & 32bit) (Jeff Gilchrist)

13. Related links

• Bob Backstrom - Sydney PCUG, Web Design, Large Factors, Digital Photos, Electronics (Bob Backstrom)
• Factorizations of Repunit Numbers of the form (10ⁿ-1)/9 (Kurt Beschorner)
• Richard Brent - Factor Tables (Richard Brent)
• Plateau and Depression Primes (Patrick De Geest)
• Factoring and Prime Identification (Torbjörn Granlund)
• Repunit - Top (Yousuke Koide)
• Factorizations of Cyclotomic Numbers (Hisanori Mishima)
• GGNFS (Chris Monico)
• Integer Factorizations and (Cyclotomic) Polynomials (Alfred Reich)
• The Cunningham Project (Sam Wagstaff)
• The ECMNET Project (Paul Zimmermann)
• AMS Online Books/Factorizations of b^{n}+/- 1, b=2,3,5,6,7,10,11,12 Up to High Powers/conm22 (AMS Online Books)
• Open Directory - Science: Math: Number Theory: Factoring (dmoz)