## 8×10108-9

### c85

name 名前 Robert Backstrom January 12, 2008 10:44:02 UTC 2008 年 1 月 12 日 (土) 19 時 44 分 2 秒 (日本時間) `1372555516949333137618228270331274485790782160526248343993890054088622756983399304647<85>` ```10784808302586663079660355798191<32> 127267493166302734542256662357223329760676931011149417<54>``` ```GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM] Input number is 1372555516949333137618228270331274485790782160526248343993890054088622756983399304647 (85 digits) Using B1=894000, B2=715666600, polynomial Dickson(3), sigma=353689614 Step 1 took 6781ms Step 2 took 5704ms ********** Factor found in step 2: 10784808302586663079660355798191 Found probable prime factor of 32 digits: 10784808302586663079660355798191 Probable prime cofactor 127267493166302734542256662357223329760676931011149417 has 54 digits```

## 8×10113-9

### c104

name 名前 Sinkiti Sibata January 12, 2008 11:50:56 UTC 2008 年 1 月 12 日 (土) 20 時 50 分 56 秒 (日本時間) `13271086436857956665003795278321466204613927762908668489758134204339053238368831986794926070452804708721<104>` ```390808792124933992905008532836460473489137122991<48> 33958003771356934218524016876132944905551552683170456031<56>``` ```Number: 79991_113 N=13271086436857956665003795278321466204613927762908668489758134204339053238368831986794926070452804708721 ( 104 digits) SNFS difficulty: 113 digits. Divisors found: r1=390808792124933992905008532836460473489137122991 (pp48) r2=33958003771356934218524016876132944905551552683170456031 (pp56) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 1.88 hours. Scaled time: 1.27 units (timescale=0.675). Factorization parameters were as follows: name:79991_113 n: 13271086436857956665003795278321466204613927762908668489758134204339053238368831986794926070452804708721 m: 20000000000000000000000 c5: 250 c0: -9 skew: 0.51 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:63828, largePrimes:2133195 encountered Relations: rels:2279375, finalFF:293525 Max relations in full relation-set: 28 Initial matrix: 112993 x 293525 with sparse part having weight 23279201. Pruned matrix : 72949 x 73577 with weight 4016180. Total sieving time: 1.70 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.08 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,113,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.88 hours. --------- CPU info (if available) ----------``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

## 8×10115-9

### c115

name 名前 Sinkiti Sibata January 12, 2008 10:50:45 UTC 2008 年 1 月 12 日 (土) 19 時 50 分 45 秒 (日本時間) `2580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161<115>` ```1952641829846445891880391633628571<34> 183792537662905341244235989253778248189<39> 7190810275475399982758739592384651846401319<43>``` ```Number: 79991_115 N=2580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161 ( 115 digits) SNFS difficulty: 115 digits. Divisors found: r1=1952641829846445891880391633628571 (pp34) r2=183792537662905341244235989253778248189 (pp39) r3=7190810275475399982758739592384651846401319 (pp43) Version: GGNFS-0.77.1-20060513-k8 Total time: 1.28 hours. Scaled time: 2.57 units (timescale=2.003). Factorization parameters were as follows: name: 79991_115 n: 2580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161 m: 100000000000000000000000 c5: 8 c0: -9 skew: 1.02 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, 450001) Primes: RFBsize:49098, AFBsize:64008, largePrimes:2120520 encountered Relations: rels:2265866, finalFF:291540 Max relations in full relation-set: 28 Initial matrix: 113171 x 291540 with sparse part having weight 22877031. Pruned matrix : 73769 x 74398 with weight 3980313. Total sieving time: 1.19 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.03 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: 1.28 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 8×10121-9

### c117

name 名前 Sinkiti Sibata January 12, 2008 12:14:47 UTC 2008 年 1 月 12 日 (土) 21 時 14 分 47 秒 (日本時間) `248687396833587719816344357438395468915629692031744946205807472434556357227011181607080130187852242383171323856271119<117>` ```66190937999157259563309327452865130078561271454954931<53> 3757121508638448333172650338258137145904700516674921367147594549<64>``` ```Number: 79991_121 N=248687396833587719816344357438395468915629692031744946205807472434556357227011181607080130187852242383171323856271119 ( 117 digits) SNFS difficulty: 122 digits. Divisors found: r1=66190937999157259563309327452865130078561271454954931 (pp53) r2=3757121508638448333172650338258137145904700516674921367147594549 (pp64) Version: GGNFS-0.77.1-20060513-k8 Total time: 2.07 hours. Scaled time: 4.17 units (timescale=2.010). Factorization parameters were as follows: name: 79991_121 n: 248687396833587719816344357438395468915629692031744946205807472434556357227011181607080130187852242383171323856271119 m: 2000000000000000000000000 c5: 5 c0: -18 skew: 1.29 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:63758, largePrimes:1984467 encountered Relations: rels:1952225, finalFF:141050 Max relations in full relation-set: 28 Initial matrix: 112922 x 141050 with sparse part having weight 10926246. Pruned matrix : 102413 x 103041 with weight 6162277. Total sieving time: 1.93 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.06 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,122,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 2.07 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 8×10126-9

### c126

name 名前 Jo Yeong Uk January 12, 2008 11:54:42 UTC 2008 年 1 月 12 日 (土) 20 時 54 分 42 秒 (日本時間) `347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217<126>` ```217581248286592871920703441696601910487<39> 1598603233024812172766526043763336942138049668499189186436388071437141249364595430510791<88>``` ```Number: 79991_126 N=347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217 ( 126 digits) SNFS difficulty: 127 digits. Divisors found: r1=217581248286592871920703441696601910487 (pp39) r2=1598603233024812172766526043763336942138049668499189186436388071437141249364595430510791 (pp88) Version: GGNFS-0.77.1-20050930-nocona Total time: 1.48 hours. Scaled time: 3.18 units (timescale=2.151). Factorization parameters were as follows: n: 347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217 m: 20000000000000000000000000 c5: 5 c0: -18 skew: 1.29 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 45/45 Sieved algebraic special-q in [400000, 720001) Primes: RFBsize:63951, AFBsize:63758, largePrimes:1391980 encountered Relations: rels:1386131, finalFF:169407 Max relations in full relation-set: 28 Initial matrix: 127775 x 169407 with sparse part having weight 8164693. Pruned matrix : 109759 x 110461 with weight 4063548. Total sieving time: 1.42 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.02 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,127,5,0,0,0,0,0,0,0,0,800000,800000,25,25,45,45,2.2,2.2,40000 total time: 1.48 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init) Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406451) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)``` `Core 2 Quad Q6600`

## 8×10127-9

### c106

name 名前 Sinkiti Sibata January 13, 2008 00:43:20 UTC 2008 年 1 月 13 日 (日) 9 時 43 分 20 秒 (日本時間) `1297619045550961749053867427793399261073676933317173039733022282273362765727795424832044173656449032178279<106>` ```657946460633670262464217847012752777057361<42> 1972225892515966800861803327069244574222166958428213389132029239<64>``` ```Number: 79991_127 N=1297619045550961749053867427793399261073676933317173039733022282273362765727795424832044173656449032178279 ( 106 digits) SNFS difficulty: 127 digits. Divisors found: r1=657946460633670262464217847012752777057361 (pp42) r2=1972225892515966800861803327069244574222166958428213389132029239 (pp64) Version: GGNFS-0.77.1-20060513-k8 Total time: 3.10 hours. Scaled time: 6.18 units (timescale=1.996). Factorization parameters were as follows: name: 79991_127 n: 1297619045550961749053867427793399261073676933317173039733022282273362765727795424832044173656449032178279 m: 20000000000000000000000000 c5: 25 c0: -9 skew: 0.82 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [400000, 750001) Primes: RFBsize:63951, AFBsize:63968, largePrimes:1468206 encountered Relations: rels:1493823, finalFF:197352 Max relations in full relation-set: 28 Initial matrix: 127983 x 197352 with sparse part having weight 9951716. Pruned matrix : 104345 x 105048 with weight 4227563. Total sieving time: 2.98 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.04 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,127,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 3.10 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 8×10134-9

### c119

name 名前 Sinkiti Sibata January 12, 2008 22:50:59 UTC 2008 年 1 月 13 日 (日) 7 時 50 分 59 秒 (日本時間) `18053636104667704643286239945614946302235180121774908791993905279361217947079393873400776543238916285526231963749448849<119>` ```547886259883585498357025117689672145168225517346471<51> 32951430664648770389924301340174201074562936491053050907418208102919<68>``` ```Number: 79991_134 N=18053636104667704643286239945614946302235180121774908791993905279361217947079393873400776543238916285526231963749448849 ( 119 digits) SNFS difficulty: 135 digits. Divisors found: r1=547886259883585498357025117689672145168225517346471 (pp51) r2=32951430664648770389924301340174201074562936491053050907418208102919 (pp68) Version: GGNFS-0.77.1-20060513-k8 Total time: 5.77 hours. Scaled time: 11.57 units (timescale=2.004). Factorization parameters were as follows: name: 79991_134 n: 18053636104667704643286239945614946302235180121774908791993905279361217947079393873400776543238916285526231963749448849 m: 1000000000000000000000000000 c5: 4 c0: -45 skew: 1.62 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, 1075001) Primes: RFBsize:78498, AFBsize:64108, largePrimes:1539429 encountered Relations: rels:1553166, finalFF:188124 Max relations in full relation-set: 28 Initial matrix: 142670 x 188124 with sparse part having weight 14083615. Pruned matrix : 127526 x 128303 with weight 7818342. Total sieving time: 5.59 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.08 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,135,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 5.77 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 8×10136-9

### c106

name 名前 Jo Yeong Uk January 12, 2008 15:02:23 UTC 2008 年 1 月 13 日 (日) 0 時 2 分 23 秒 (日本時間) `1570178204296442471478760889548334038176734874175207254303092147557263103549956249477642039440313865213697<106>` ```414874359200499062591640749476962066365515367<45> 3784707754227857968375340111961975566863294728841184192955991<61>``` ```Number: 79991_136 N=1570178204296442471478760889548334038176734874175207254303092147557263103549956249477642039440313865213697 ( 106 digits) SNFS difficulty: 137 digits. Divisors found: r1=414874359200499062591640749476962066365515367 (pp45) r2=3784707754227857968375340111961975566863294728841184192955991 (pp61) Version: GGNFS-0.77.1-20050930-nocona Total time: 3.02 hours. Scaled time: 6.42 units (timescale=2.126). Factorization parameters were as follows: n: 1570178204296442471478760889548334038176734874175207254303092147557263103549956249477642039440313865213697 m: 2000000000000000000000000000 c5: 5 c0: -18 skew: 1.29 type: snfs Factor base limits: 1400000/1400000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 47/47 Sieved algebraic special-q in [700000, 1250001) Primes: RFBsize:107126, AFBsize:106673, largePrimes:2293144 encountered Relations: rels:2442022, finalFF:309970 Max relations in full relation-set: 28 Initial matrix: 213865 x 309970 with sparse part having weight 23128338. Pruned matrix : 176160 x 177293 with weight 10368683. Total sieving time: 2.88 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.09 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,137,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000 total time: 3.02 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init) Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406451) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)``` `Core 2 Quad Q6600`

## 8×10137-9

### c116

name 名前 Jo Yeong Uk January 12, 2008 13:43:17 UTC 2008 年 1 月 12 日 (土) 22 時 43 分 17 秒 (日本時間) `63509653737574399217038616831944475076055080799012737578919148228450102913151031013675654824282011444268263707205371<116>` ```9029523373784041010808525557981<31> 1221423363891302373996983840134301<34> 5758491037866755216905701730446521364185825908289891<52>``` ```GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM] Input number is 63509653737574399217038616831944475076055080799012737578919148228450102913151031013675654824282011444268263707205371 (116 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4274360394 Step 1 took 6672ms Step 2 took 1015ms ********** Factor found in step 2: 9029523373784041010808525557981 Found probable prime factor of 31 digits: 9029523373784041010808525557981 Composite cofactor 7033555494409129235621750952426445415239612600830862521555814673561206967670680651191 has 85 digits Sat Jan 12 21:44:58 2008 Sat Jan 12 21:44:58 2008 Sat Jan 12 21:44:58 2008 Msieve v. 1.28 Sat Jan 12 21:44:58 2008 random seeds: 5b6f6980 09f90c48 Sat Jan 12 21:44:58 2008 factoring 7033555494409129235621750952426445415239612600830862521555814673561206967670680651191 (85 digits) Sat Jan 12 21:44:58 2008 commencing quadratic sieve (85-digit input) Sat Jan 12 21:44:58 2008 using multiplier of 7 Sat Jan 12 21:44:58 2008 using 32kb Intel Core sieve core Sat Jan 12 21:44:58 2008 sieve interval: 12 blocks of size 32768 Sat Jan 12 21:44:58 2008 processing polynomials in batches of 17 Sat Jan 12 21:44:58 2008 using a sieve bound of 1434241 (54480 primes) Sat Jan 12 21:44:58 2008 using large prime bound of 116173521 (26 bits) Sat Jan 12 21:44:58 2008 using double large prime bound of 328997602795950 (41-49 bits) Sat Jan 12 21:44:58 2008 using trial factoring cutoff of 49 bits Sat Jan 12 21:44:58 2008 polynomial 'A' values have 11 factors Sat Jan 12 22:09:30 2008 54635 relations (15866 full + 38769 combined from 573370 partial), need 54576 Sat Jan 12 22:09:30 2008 begin with 589236 relations Sat Jan 12 22:09:31 2008 reduce to 128767 relations in 9 passes Sat Jan 12 22:09:31 2008 attempting to read 128767 relations Sat Jan 12 22:09:32 2008 recovered 128767 relations Sat Jan 12 22:09:32 2008 recovered 108972 polynomials Sat Jan 12 22:09:32 2008 attempting to build 54635 cycles Sat Jan 12 22:09:32 2008 found 54635 cycles in 5 passes Sat Jan 12 22:09:32 2008 distribution of cycle lengths: Sat Jan 12 22:09:32 2008 length 1 : 15866 Sat Jan 12 22:09:32 2008 length 2 : 11089 Sat Jan 12 22:09:32 2008 length 3 : 9652 Sat Jan 12 22:09:32 2008 length 4 : 6995 Sat Jan 12 22:09:32 2008 length 5 : 4741 Sat Jan 12 22:09:32 2008 length 6 : 2779 Sat Jan 12 22:09:32 2008 length 7 : 1683 Sat Jan 12 22:09:32 2008 length 9+: 1830 Sat Jan 12 22:09:32 2008 largest cycle: 17 relations Sat Jan 12 22:09:32 2008 matrix is 54480 x 54635 with weight 2902839 (avg 53.13/col) Sat Jan 12 22:09:32 2008 filtering completed in 3 passes Sat Jan 12 22:09:32 2008 matrix is 49839 x 49903 with weight 2674857 (avg 53.60/col) Sat Jan 12 22:09:33 2008 saving the first 48 matrix rows for later Sat Jan 12 22:09:33 2008 matrix is 49791 x 49903 with weight 2017488 (avg 40.43/col) Sat Jan 12 22:09:33 2008 matrix includes 64 packed rows Sat Jan 12 22:09:33 2008 commencing Lanczos iteration Sat Jan 12 22:10:15 2008 lanczos halted after 789 iterations Sat Jan 12 22:10:15 2008 recovered 15 nontrivial dependencies Sat Jan 12 22:10:16 2008 prp34 factor: 1221423363891302373996983840134301 Sat Jan 12 22:10:16 2008 prp52 factor: 5758491037866755216905701730446521364185825908289891 Sat Jan 12 22:10:16 2008 elapsed time 00:25:18``` `Core 2 Quad Q6600`

## 8×10140-9

### c112

name 名前 Jo Yeong Uk January 13, 2008 01:18:11 UTC 2008 年 1 月 13 日 (日) 10 時 18 分 11 秒 (日本時間) `1254891470052116520828269206319513146161103905631639479267954114925778079057809127052812483177258998970076508569<112>` ```388536296915994985391902206726511<33> 3229792119842628898676018383831983166364802105671842667810158223564146032892279<79>``` ```Number: 79991_140 N=1254891470052116520828269206319513146161103905631639479267954114925778079057809127052812483177258998970076508569 ( 112 digits) SNFS difficulty: 141 digits. Divisors found: r1=388536296915994985391902206726511 (pp33) r2=3229792119842628898676018383831983166364802105671842667810158223564146032892279 (pp79) Version: GGNFS-0.77.1-20050930-nocona Total time: 5.41 hours. Scaled time: 11.62 units (timescale=2.148). Factorization parameters were as follows: n: 1254891470052116520828269206319513146161103905631639479267954114925778079057809127052812483177258998970076508569 m: 20000000000000000000000000000 c5: 1 c0: -36 skew: 2.05 type: snfs Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved algebraic special-q in [750000, 1100001) Primes: RFBsize:114155, AFBsize:114197, largePrimes:3313249 encountered Relations: rels:3414814, finalFF:399605 Max relations in full relation-set: 28 Initial matrix: 228416 x 399605 with sparse part having weight 33303166. Pruned matrix : 167030 x 168236 with weight 12188509. Total sieving time: 5.25 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.09 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,141,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000 total time: 5.41 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init) Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406451) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)``` `Core 2 Quad Q6600`

## 8×10144-9

### c110

name 名前 Sinkiti Sibata January 14, 2008 07:56:16 UTC 2008 年 1 月 14 日 (月) 16 時 56 分 16 秒 (日本時間) `44014529332280370913945784430768068918614841536502394721741885965309300374132997959530907498071104444566051033<110>` ```1202396689032442891861982410658929<34> 36605664115474603832272688375093831327326195191011201019483886504026399481577<77>``` ```Number: 79991_144 N=44014529332280370913945784430768068918614841536502394721741885965309300374132997959530907498071104444566051033 ( 110 digits) SNFS difficulty: 145 digits. Divisors found: r1=1202396689032442891861982410658929 (pp34) r2=36605664115474603832272688375093831327326195191011201019483886504026399481577 (pp77) Version: GGNFS-0.77.1-20060513-k8 Total time: 15.54 hours. Scaled time: 30.96 units (timescale=1.992). Factorization parameters were as follows: name: 79991_144 n: 44014529332280370913945784430768068918614841536502394721741885965309300374132997959530907498071104444566051033 m: 100000000000000000000000000000 c5: 4 c0: -45 skew: 1.62 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [650000, 2350001) Primes: RFBsize:100021, AFBsize:100108, largePrimes:2834967 encountered Relations: rels:2856600, finalFF:275497 Max relations in full relation-set: 28 Initial matrix: 200193 x 275497 with sparse part having weight 29783015. Pruned matrix : 180481 x 181545 with weight 17934606. Total sieving time: 14.99 hours. Total relation processing time: 0.12 hours. Matrix solve time: 0.35 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,145,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 15.54 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 8×10145-9

### c126

name 名前 Sinkiti Sibata January 13, 2008 23:09:07 UTC 2008 年 1 月 14 日 (月) 8 時 9 分 7 秒 (日本時間) `326560925407781770767774075639791745382030213521430418350721109651781264744036225782582623040049517265875742904382248461554231<126>` ```7742337301078104200488978966281420202696958368400348371<55> 42178597070720342821424007221144098406947930977765023595765919575211661<71>``` ```Number: 79991_145 N=326560925407781770767774075639791745382030213521430418350721109651781264744036225782582623040049517265875742904382248461554231 ( 126 digits) SNFS difficulty: 145 digits. Divisors found: r1=7742337301078104200488978966281420202696958368400348371 (pp55) r2=42178597070720342821424007221144098406947930977765023595765919575211661 (pp71) Version: GGNFS-0.77.1-20060513-k8 Total time: 13.98 hours. Scaled time: 27.74 units (timescale=1.985). Factorization parameters were as follows: name: 79991_145 n: 326560925407781770767774075639791745382030213521430418350721109651781264744036225782582623040049517265875742904382248461554231 m: 100000000000000000000000000000 c5: 8 c0: -9 skew: 1.02 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [650000, 2150001) Primes: RFBsize:100021, AFBsize:99978, largePrimes:2778825 encountered Relations: rels:2779522, finalFF:267636 Max relations in full relation-set: 28 Initial matrix: 200064 x 267636 with sparse part having weight 27367024. Pruned matrix : 181507 x 182571 with weight 16750604. Total sieving time: 13.45 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.36 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,145,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 13.98 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 8×10146-9

### c106

name 名前 Jo Yeong Uk January 12, 2008 14:31:51 UTC 2008 年 1 月 12 日 (土) 23 時 31 分 51 秒 (日本時間) `2058810010761612567092352089720365386730249897152746203606397778052467814931305459604563382995204599627199<106>` ```2237064275354436560413927703682193<34> 920317772467855578861737276438457302528107277025704935144084694913195343<72>``` ```GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM] Input number is 2058810010761612567092352089720365386730249897152746203606397778052467814931305459604563382995204599627199 (106 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=930593696 Step 1 took 5428ms Step 2 took 3684ms ********** Factor found in step 2: 2237064275354436560413927703682193 Found probable prime factor of 34 digits: 2237064275354436560413927703682193 Probable prime cofactor 920317772467855578861737276438457302528107277025704935144084694913195343 has 72 digits``` `Core 2 Quad Q6600`

## 8×10147-9

### c105

name 名前 Sinkiti Sibata January 13, 2008 11:37:14 UTC 2008 年 1 月 13 日 (日) 20 時 37 分 14 秒 (日本時間) `137051119593948261370044705690083652684958246482044222007487026886745761271810395403932044275256914167919<105>` ```757574316234139695166249827153995203794288161<45> 180907822053975968030490364262581021587417735195779858011279<60>``` ```Number: 79991_147 N=137051119593948261370044705690083652684958246482044222007487026886745761271810395403932044275256914167919 ( 105 digits) SNFS difficulty: 147 digits. Divisors found: r1=757574316234139695166249827153995203794288161 (pp45) r2=180907822053975968030490364262581021587417735195779858011279 (pp60) Version: GGNFS-0.77.1-20060513-k8 Total time: 21.13 hours. Scaled time: 42.15 units (timescale=1.995). Factorization parameters were as follows: name: 79991_147 n: 137051119593948261370044705690083652684958246482044222007487026886745761271810395403932044275256914167919 m: 200000000000000000000000000000 c5: 25 c0: -9 skew: 0.82 type: snfs Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [750000, 3050001) Primes: RFBsize:114155, AFBsize:114087, largePrimes:2932834 encountered Relations: rels:2973016, finalFF:311516 Max relations in full relation-set: 28 Initial matrix: 228306 x 311516 with sparse part having weight 33697415. Pruned matrix : 204714 x 205919 with weight 20792624. Total sieving time: 20.36 hours. Total relation processing time: 0.11 hours. Matrix solve time: 0.57 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,147,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000 total time: 21.13 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 8×10148-9

### c100

name 名前 Sinkiti Sibata January 14, 2008 05:29:16 UTC 2008 年 1 月 14 日 (月) 14 時 29 分 16 秒 (日本時間) `4253496124238984707734842877964977170209510988448548351661975134912047668525960763545100431865332767<100>` ```1698869895271211983854184427647893889<37> 2503720935946036989300856832502895816091759303149812092199359903<64>``` ```Sat Jan 12 20:55:23 2008 Msieve v. 1.30 Sat Jan 12 20:55:23 2008 random seeds: 45d02a07 42588f3f Sat Jan 12 20:55:23 2008 factoring 4253496124238984707734842877964977170209510988448548351661975134912047668525960763545100431865332767 (100 digits) Sat Jan 12 20:55:24 2008 commencing quadratic sieve (100-digit input) Sat Jan 12 20:55:24 2008 using multiplier of 3 Sat Jan 12 20:55:24 2008 using 64kb Pentium 4 sieve core Sat Jan 12 20:55:24 2008 sieve interval: 18 blocks of size 65536 Sat Jan 12 20:55:24 2008 processing polynomials in batches of 6 Sat Jan 12 20:55:24 2008 using a sieve bound of 2704027 (98824 primes) Sat Jan 12 20:55:24 2008 using large prime bound of 405604050 (28 bits) Sat Jan 12 20:55:24 2008 using double large prime bound of 3123087099560100 (43-52 bits) Sat Jan 12 20:55:24 2008 using trial factoring cutoff of 52 bits Sat Jan 12 20:55:24 2008 polynomial 'A' values have 13 factors Sun Jan 13 07:55:59 2008 9287 relations (6915 full + 2372 combined from 447278 partial), need 98920 Sun Jan 13 07:55:59 2008 elapsed time 11:00:36 Sun Jan 13 08:10:19 2008 Sun Jan 13 08:10:19 2008 Sun Jan 13 08:10:19 2008 Msieve v. 1.30 Sun Jan 13 08:10:19 2008 random seeds: 8ded5200 352a1059 Sun Jan 13 08:10:19 2008 factoring 4253496124238984707734842877964977170209510988448548351661975134912047668525960763545100431865332767 (100 digits) Sun Jan 13 08:10:20 2008 commencing quadratic sieve (100-digit input) Sun Jan 13 08:10:20 2008 using multiplier of 3 Sun Jan 13 08:10:20 2008 using 64kb Pentium 4 sieve core Sun Jan 13 08:10:20 2008 sieve interval: 18 blocks of size 65536 Sun Jan 13 08:10:20 2008 processing polynomials in batches of 6 Sun Jan 13 08:10:20 2008 using a sieve bound of 2704027 (98824 primes) Sun Jan 13 08:10:20 2008 using large prime bound of 405604050 (28 bits) Sun Jan 13 08:10:20 2008 using double large prime bound of 3123087099560100 (43-52 bits) Sun Jan 13 08:10:20 2008 using trial factoring cutoff of 52 bits Sun Jan 13 08:10:20 2008 polynomial 'A' values have 13 factors Sun Jan 13 08:10:22 2008 restarting with 6915 full and 447278 partial relations Mon Jan 14 09:57:41 2008 98999 relations (23067 full + 75932 combined from 1497061 partial), need 98920 Mon Jan 14 09:57:47 2008 begin with 1520128 relations Mon Jan 14 09:57:50 2008 reduce to 263703 relations in 11 passes Mon Jan 14 09:57:50 2008 attempting to read 263703 relations Mon Jan 14 09:58:00 2008 recovered 263703 relations Mon Jan 14 09:58:00 2008 recovered 255071 polynomials Mon Jan 14 09:58:01 2008 attempting to build 98999 cycles Mon Jan 14 09:58:01 2008 found 98999 cycles in 6 passes Mon Jan 14 09:58:01 2008 distribution of cycle lengths: Mon Jan 14 09:58:01 2008 length 1 : 23067 Mon Jan 14 09:58:01 2008 length 2 : 16643 Mon Jan 14 09:58:01 2008 length 3 : 16544 Mon Jan 14 09:58:01 2008 length 4 : 13575 Mon Jan 14 09:58:01 2008 length 5 : 10481 Mon Jan 14 09:58:01 2008 length 6 : 7268 Mon Jan 14 09:58:01 2008 length 7 : 4607 Mon Jan 14 09:58:01 2008 length 9+: 6814 Mon Jan 14 09:58:01 2008 largest cycle: 21 relations Mon Jan 14 09:58:02 2008 matrix is 98824 x 98999 with weight 6671927 (avg 67.39/col) Mon Jan 14 09:58:04 2008 filtering completed in 3 passes Mon Jan 14 09:58:04 2008 matrix is 95182 x 95246 with weight 6452945 (avg 67.75/col) Mon Jan 14 09:58:05 2008 saving the first 48 matrix rows for later Mon Jan 14 09:58:05 2008 matrix is 95134 x 95246 with weight 5001470 (avg 52.51/col) Mon Jan 14 09:58:05 2008 matrix includes 64 packed rows Mon Jan 14 09:58:05 2008 using block size 21845 for processor cache size 512 kB Mon Jan 14 09:58:07 2008 commencing Lanczos iteration Mon Jan 14 09:59:41 2008 lanczos halted after 1506 iterations (dim = 95134) Mon Jan 14 09:59:41 2008 recovered 18 nontrivial dependencies Mon Jan 14 09:59:43 2008 prp37 factor: 1698869895271211983854184427647893889 Mon Jan 14 09:59:43 2008 prp64 factor: 2503720935946036989300856832502895816091759303149812092199359903 Mon Jan 14 09:59:43 2008 elapsed time 25:49:24``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

## 8×10149-9

### c140

name 名前 Robert Backstrom January 15, 2008 10:29:53 UTC 2008 年 1 月 15 日 (火) 19 時 29 分 53 秒 (日本時間) `50402365228617734335016222043145796714084216637046821048037371523707138598899480824205970221639614758238464126637047456747868817464881438991<140>` ```506448962913497763293952892565556348977959<42> 51909484898783796991431617515193618122604873161<47> 1917204817158045773364919500838723218822870408926609<52>``` ```Number: n N=50402365228617734335016222043145796714084216637046821048037371523707138598899480824205970221639614758238464126637047456747868817464881438991 ( 140 digits) SNFS difficulty: 150 digits. Divisors found: Tue Jan 15 21:21:09 2008 prp42 factor: 506448962913497763293952892565556348977959 Tue Jan 15 21:21:09 2008 prp47 factor: 51909484898783796991431617515193618122604873161 Tue Jan 15 21:21:09 2008 prp52 factor: 1917204817158045773364919500838723218822870408926609 Tue Jan 15 21:21:09 2008 elapsed time 00:47:51 (Msieve 1.32) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 14.51 hours. Scaled time: 19.05 units (timescale=1.313). Factorization parameters were as follows: name: KA_7_9_148_1 n: 50402365228617734335016222043145796714084216637046821048037371523707138598899480824205970221639614758238464126637047456747868817464881438991 skew: 1.62 deg: 5 c5: 4 c0: -45 m: 1000000000000000000000000000000 type: snfs rlim: 2800000 alim: 2800000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 2800000/2800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 799990) Primes: RFBsize:203362, AFBsize:203002, largePrimes:6263890 encountered Relations: rels:5792386, finalFF:494582 Max relations in full relation-set: 28 Initial matrix: 406428 x 494582 with sparse part having weight 27219008. Pruned matrix : Total sieving time: 14.35 hours. Total relation processing time: 0.16 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,150,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000 total time: 14.51 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+```

## 8×10150-9

### c122

name 名前 Jo Yeong Uk January 13, 2008 13:00:29 UTC 2008 年 1 月 13 日 (日) 22 時 0 分 29 秒 (日本時間) `46187410586671979793763904423352571432961215465785614036273142323402790039945056505520163118222449815563959534158948325593<122>` ```96315157891755373030439425392135709447474977307786081<53> 479544565961051555887991852543525630193846540227492360552478340319353<69>``` ```Number: 79991_150 N=46187410586671979793763904423352571432961215465785614036273142323402790039945056505520163118222449815563959534158948325593 ( 122 digits) SNFS difficulty: 151 digits. Divisors found: r1=96315157891755373030439425392135709447474977307786081 (pp53) r2=479544565961051555887991852543525630193846540227492360552478340319353 (pp69) Version: GGNFS-0.77.1-20050930-nocona Total time: 11.20 hours. Scaled time: 24.03 units (timescale=2.146). Factorization parameters were as follows: n: 46187410586671979793763904423352571432961215465785614036273142323402790039945056505520163118222449815563959534158948325593 m: 2000000000000000000000000000000 c5: 1 c0: -36 skew: 2.05 type: snfs Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1200000, 1900001) Primes: RFBsize:176302, AFBsize:176388, largePrimes:5294283 encountered Relations: rels:5193470, finalFF:481776 Max relations in full relation-set: 28 Initial matrix: 352754 x 481776 with sparse part having weight 38435562. Pruned matrix : 281271 x 283098 with weight 21037307. Total sieving time: 10.76 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.34 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 11.20 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init) Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406451) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)``` `Core 2 Quad Q6600`

## 8×10151-9

### c124

name 名前 Sinkiti Sibata January 14, 2008 21:15:58 UTC 2008 年 1 月 15 日 (火) 6 時 15 分 58 秒 (日本時間) `5135329662510855451262747808996030428811545227752914475018951225716569545596080341020197792116773744210930101595349671729891<124>` ```30791592289433442832144020953926711999042958399<47> 166777008939323811795992782279128050360042974145183252503836734575392545775709<78>``` ```Number: 79991_151 N=5135329662510855451262747808996030428811545227752914475018951225716569545596080341020197792116773744210930101595349671729891 ( 124 digits) SNFS difficulty: 152 digits. Divisors found: r1=30791592289433442832144020953926711999042958399 (pp47) r2=166777008939323811795992782279128050360042974145183252503836734575392545775709 (pp78) Version: GGNFS-0.77.1-20060513-k8 Total time: 21.10 hours. Scaled time: 42.15 units (timescale=1.998). Factorization parameters were as follows: name: 79991_151 n: 5135329662510855451262747808996030428811545227752914475018951225716569545596080341020197792116773744210930101595349671729891 m: 2000000000000000000000000000000 c5: 5 c0: -18 skew: 1.29 type: snfs Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1200000, 1900001) Primes: RFBsize:176302, AFBsize:176263, largePrimes:5423196 encountered Relations: rels:5343061, finalFF:492291 Max relations in full relation-set: 28 Initial matrix: 352631 x 492291 with sparse part having weight 42349212. Pruned matrix : 286234 x 288061 with weight 22574991. Total sieving time: 19.86 hours. Total relation processing time: 0.12 hours. Matrix solve time: 0.98 hours. Time per square root: 0.13 hours. Prototype def-par.txt line would be: snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 21.10 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 8×10152-9

### c128

name 名前 Sinkiti Sibata January 15, 2008 11:37:51 UTC 2008 年 1 月 15 日 (火) 20 時 37 分 51 秒 (日本時間) `10391576430584355190373677199759407351446517692328060162305724930882541948962841610590261491446581131649370344311873473040744919<128>` ```8716632273706955002066316578892953673433856501001<49> 1192154963555103648416832707448716501053570407831671868210179818737805091325919<79>``` ```Number: 79991_152 N=10391576430584355190373677199759407351446517692328060162305724930882541948962841610590261491446581131649370344311873473040744919 ( 128 digits) SNFS difficulty: 152 digits. Divisors found: r1=8716632273706955002066316578892953673433856501001 (pp49) r2=1192154963555103648416832707448716501053570407831671868210179818737805091325919 (pp79) Version: GGNFS-0.77.1-20060513-k8 Total time: 25.77 hours. Scaled time: 51.56 units (timescale=2.001). Factorization parameters were as follows: name: 79991_152 n: 10391576430584355190373677199759407351446517692328060162305724930882541948962841610590261491446581131649370344311873473040744919 m: 2000000000000000000000000000000 c5: 25 c0: -9 skew: 0.82 type: snfs Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1200000, 2100001) Primes: RFBsize:176302, AFBsize:176228, largePrimes:5853695 encountered Relations: rels:6051618, finalFF:728881 Max relations in full relation-set: 28 Initial matrix: 352594 x 728881 with sparse part having weight 65846116. Pruned matrix : 233861 x 235687 with weight 30991348. Total sieving time: 24.73 hours. Total relation processing time: 0.14 hours. Matrix solve time: 0.78 hours. Time per square root: 0.12 hours. Prototype def-par.txt line would be: snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 25.77 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 8×10154-9

### c127

name 名前 Jo Yeong Uk January 14, 2008 08:00:46 UTC 2008 年 1 月 14 日 (月) 17 時 0 分 46 秒 (日本時間) `4956126968245544840829612126947542016537069480457201107807317941718490806281289773378008927417668578515244674558217734871400657<127>` ```461939553236586484114536733702650233023<39> 10728951295727690102209746621884683736435695534177888595486933153914001471840926288450159<89>``` ```Number: 79991_154 N=4956126968245544840829612126947542016537069480457201107807317941718490806281289773378008927417668578515244674558217734871400657 ( 127 digits) SNFS difficulty: 155 digits. Divisors found: r1=461939553236586484114536733702650233023 (pp39) r2=10728951295727690102209746621884683736435695534177888595486933153914001471840926288450159 (pp89) Version: GGNFS-0.77.1-20050930-nocona Total time: 18.01 hours. Scaled time: 38.75 units (timescale=2.151). Factorization parameters were as follows: n: 4956126968245544840829612126947542016537069480457201107807317941718490806281289773378008927417668578515244674558217734871400657 m: 10000000000000000000000000000000 c5: 4 c0: -45 skew: 1.62 type: snfs Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1500000, 2600001) Primes: RFBsize:216816, AFBsize:216516, largePrimes:5592938 encountered Relations: rels:5575870, finalFF:574005 Max relations in full relation-set: 28 Initial matrix: 433396 x 574005 with sparse part having weight 43815050. Pruned matrix : 340472 x 342702 with weight 27481926. Total sieving time: 17.33 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.57 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000 total time: 18.01 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init) Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406451) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)``` `Core 2 Quad Q6600`

## 8×10155-9

### c125

name 名前 Robert Backstrom January 14, 2008 01:33:00 UTC 2008 年 1 月 14 日 (月) 10 時 33 分 0 秒 (日本時間) `13307551969707221571977311703859581448957075667696835065435088423329756785390728590584789548883099241764794321609917108167391<125>` ```630937457078491523522125157973689<33> 21091713323420107009957029361942912268853049172167108976864637180884556752573488461477765719<92>``` ```GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM] Input number is 13307551969707221571977311703859581448957075667696835065435088423329756785390728590584789548883099241764794321609917108167391 (125 digits) Using B1=1358000, B2=1298392101, polynomial Dickson(6), sigma=3048894762 Step 1 took 11139ms Step 2 took 5718ms ********** Factor found in step 2: 630937457078491523522125157973689 Found probable prime factor of 33 digits: 630937457078491523522125157973689 Probable prime cofactor 21091713323420107009957029361942912268853049172167108976864637180884556752573488461477765719 has 92 digits```

## 8×10156-9

### c153

name 名前 Robert Backstrom January 15, 2008 17:29:09 UTC 2008 年 1 月 16 日 (水) 2 時 29 分 9 秒 (日本時間) `615337281747557880163064379663102838243212060610722252134451196061841396815629566956387970156141835243442812091377586339512345204215060379970771479116991<153>` ```1295988165151587695336675852925431<34> 474801621105532083834700125189778681342962201400810891482867919304452802278015894667986382020302929101025045361916944761<120>``` ```GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM] Input number is 615337281747557880163064379663102838243212060610722252134451196061841396815629566956387970156141835243442812091377586339512345204215060379970771479116991 (153 digits) Using B1=2822000, B2=3681400199, polynomial Dickson(6), sigma=3560430649 Step 1 took 45078ms Step 2 took 22500ms ********** Factor found in step 2: 1295988165151587695336675852925431 Found probable prime factor of 34 digits: 1295988165151587695336675852925431 Probable prime cofactor 474801621105532083834700125189778681342962201400810891482867919304452802278015894667986382020302929101025045361916944761 has 120 digits```

## 8×10158-9

### c128

name 名前 Jo Yeong Uk January 13, 2008 01:24:54 UTC 2008 年 1 月 13 日 (日) 10 時 24 分 54 秒 (日本時間) `12107959852864634935350511771402524893502003618521572962292227255615797033451182979180007351560920602375869138394307791363584017<128>` `410562561244534563981430142949031<33>` `29491144580163096639800559468991908217808992070869327114070748537704128510842764288695820636807<95>` ```GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM] Input number is 12107959852864634935350511771402524893502003618521572962292227255615797033451182979180007351560920602375869138394307791363584017 (128 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2488992415 Step 1 took 6645ms Step 2 took 4166ms ********** Factor found in step 2: 410562561244534563981430142949031 Found probable prime factor of 33 digits: 410562561244534563981430142949031 Composite cofactor 29491144580163096639800559468991908217808992070869327114070748537704128510842764288695820636807 has 95 digits``` `Core 2 Quad Q6600`

### c95

name 名前 Jo Yeong Uk January 13, 2008 23:30:38 UTC 2008 年 1 月 14 日 (月) 8 時 30 分 38 秒 (日本時間) `29491144580163096639800559468991908217808992070869327114070748537704128510842764288695820636807<95>` ```46763860302718914140271163284841847599644741791<47> 630639651843465146374746113429199687582690077977<48>``` ```Sun Jan 13 22:37:33 2008 Sun Jan 13 22:37:33 2008 Sun Jan 13 22:37:33 2008 Msieve v. 1.32 Sun Jan 13 22:37:33 2008 random seeds: 22de54b1 e3793a1d Sun Jan 13 22:37:33 2008 factoring 29491144580163096639800559468991908217808992070869327114070748537704128510842764288695820636807 (95 digits) Sun Jan 13 22:37:34 2008 no P-1/P+1/ECM available, skipping Sun Jan 13 22:37:34 2008 commencing quadratic sieve (95-digit input) Sun Jan 13 22:37:34 2008 using multiplier of 23 Sun Jan 13 22:37:34 2008 using 32kb Intel Core sieve core Sun Jan 13 22:37:34 2008 sieve interval: 36 blocks of size 32768 Sun Jan 13 22:37:34 2008 processing polynomials in batches of 6 Sun Jan 13 22:37:34 2008 using a sieve bound of 2117419 (78824 primes) Sun Jan 13 22:37:34 2008 using large prime bound of 309143174 (28 bits) Sun Jan 13 22:37:34 2008 using double large prime bound of 1915522827320368 (43-51 bits) Sun Jan 13 22:37:34 2008 using trial factoring cutoff of 51 bits Sun Jan 13 22:37:34 2008 polynomial 'A' values have 12 factors Mon Jan 14 02:03:04 2008 79124 relations (19503 full + 59621 combined from 1162555 partial), need 78920 Mon Jan 14 02:03:05 2008 begin with 1182058 relations Mon Jan 14 02:03:06 2008 reduce to 205345 relations in 12 passes Mon Jan 14 02:03:06 2008 attempting to read 205345 relations Mon Jan 14 02:03:07 2008 recovered 205345 relations Mon Jan 14 02:03:07 2008 recovered 189496 polynomials Mon Jan 14 02:03:08 2008 attempting to build 79124 cycles Mon Jan 14 02:03:08 2008 found 79122 cycles in 5 passes Mon Jan 14 02:03:08 2008 distribution of cycle lengths: Mon Jan 14 02:03:08 2008 length 1 : 19503 Mon Jan 14 02:03:08 2008 length 2 : 13950 Mon Jan 14 02:03:08 2008 length 3 : 13238 Mon Jan 14 02:03:08 2008 length 4 : 10765 Mon Jan 14 02:03:08 2008 length 5 : 8092 Mon Jan 14 02:03:08 2008 length 6 : 5469 Mon Jan 14 02:03:08 2008 length 7 : 3396 Mon Jan 14 02:03:08 2008 length 9+: 4709 Mon Jan 14 02:03:08 2008 largest cycle: 21 relations Mon Jan 14 02:03:08 2008 matrix is 78824 x 79122 with weight 5358756 (avg 67.73/col) Mon Jan 14 02:03:08 2008 filtering completed in 3 passes Mon Jan 14 02:03:08 2008 matrix is 75111 x 75175 with weight 5115448 (avg 68.05/col) Mon Jan 14 02:03:10 2008 saving the first 48 matrix rows for later Mon Jan 14 02:03:10 2008 matrix is 75063 x 75175 with weight 4227524 (avg 56.24/col) Mon Jan 14 02:03:10 2008 matrix includes 64 packed rows Mon Jan 14 02:03:10 2008 using block size 30070 for processor cache size 4096 kB Mon Jan 14 02:03:12 2008 commencing Lanczos iteration Mon Jan 14 02:03:40 2008 lanczos halted after 1188 iterations (dim = 75062) Mon Jan 14 02:03:40 2008 recovered 17 nontrivial dependencies Mon Jan 14 02:03:41 2008 prp47 factor: 46763860302718914140271163284841847599644741791 Mon Jan 14 02:03:41 2008 prp48 factor: 630639651843465146374746113429199687582690077977 Mon Jan 14 02:03:41 2008 elapsed time 03:26:08``` `Core 2 Quad Q6600`

## 8×10160-9

### c155

name 名前 Robert Backstrom January 13, 2008 22:55:44 UTC 2008 年 1 月 14 日 (月) 7 時 55 分 44 秒 (日本時間) `45216567576442846541186923594739730610994521447631019243605953439369952347389845376295101406630896593666402338148709377859594644775819083991469894526704057<155>` ```162324131850327948485434438093621716953<39> 278557273407351934069599866763595027872975703442508848781459154897177077473859196381772941462840739464361826004563169<117>``` ```GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM] Input number is 45216567576442846541186923594739730610994521447631019243605953439369952347389845376295101406630896593666402338148709377859594644775819083991469894526704057 (155 digits) Using B1=460000, B2=277673296, polynomial Dickson(3), sigma=2066832104 Step 1 took 5645ms ********** Factor found in step 1: 162324131850327948485434438093621716953 Found probable prime factor of 39 digits: 162324131850327948485434438093621716953 Probable prime cofactor 278557273407351934069599866763595027872975703442508848781459154897177077473859196381772941462840739464361826004563169 has 117 digits```

## 8×10161-9

### c144

name 名前 Jo Yeong Uk January 13, 2008 01:22:00 UTC 2008 年 1 月 13 日 (日) 10 時 22 分 0 秒 (日本時間) `143452652661665484549399267898399159196238183769440179918594853403413166828309976499180376223609559749784826858716550659750951672510914551500151<144>` ```428383815004193749871857607077279<33> 334869450332200636093078292799339933789697545275221769023019937305594987180395275406031737563279818152065360169<111>``` ```GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM] Input number is 143452652661665484549399267898399159196238183769440179918594853403413166828309976499180376223609559749784826858716550659750951672510914551500151 (144 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4020806271 Step 1 took 7167ms Step 2 took 4540ms ********** Factor found in step 2: 428383815004193749871857607077279 Found probable prime factor of 33 digits: 428383815004193749871857607077279 Probable prime cofactor 334869450332200636093078292799339933789697545275221769023019937305594987180395275406031737563279818152065360169 has 111 digits``` `Core 2 Quad Q6600`

## 8×10162-9

### c86

name 名前 Sinkiti Sibata January 13, 2008 06:09:53 UTC 2008 年 1 月 13 日 (日) 15 時 9 分 53 秒 (日本時間) `96989439330478405638385934491360121476455014414443770871154615953823073607951988985367<86>` ```29004454390043890346738171836159<32> 3343949795648324158059774855467139266458728235931156713<55>``` ```Sun Jan 13 08:25:03 2008 Msieve v. 1.30 Sun Jan 13 08:25:03 2008 random seeds: 4905ce6d 0961e9c8 Sun Jan 13 08:25:03 2008 factoring 96989439330478405638385934491360121476455014414443770871154615953823073607951988985367 (86 digits) Sun Jan 13 08:25:04 2008 commencing quadratic sieve (86-digit input) Sun Jan 13 08:25:04 2008 using multiplier of 1 Sun Jan 13 08:25:04 2008 using 64kb Pentium 2 sieve core Sun Jan 13 08:25:04 2008 sieve interval: 9 blocks of size 65536 Sun Jan 13 08:25:05 2008 processing polynomials in batches of 12 Sun Jan 13 08:25:05 2008 using a sieve bound of 1466767 (56000 primes) Sun Jan 13 08:25:05 2008 using large prime bound of 117341360 (26 bits) Sun Jan 13 08:25:05 2008 using double large prime bound of 334974615074720 (41-49 bits) Sun Jan 13 08:25:05 2008 using trial factoring cutoff of 49 bits Sun Jan 13 08:25:05 2008 polynomial 'A' values have 11 factors Sun Jan 13 14:10:11 2008 56141 relations (16063 full + 40078 combined from 585521 partial), need 56096 Sun Jan 13 14:10:16 2008 begin with 601584 relations Sun Jan 13 14:10:23 2008 reduce to 133024 relations in 9 passes Sun Jan 13 14:10:23 2008 attempting to read 133024 relations Sun Jan 13 14:10:32 2008 recovered 133024 relations Sun Jan 13 14:10:32 2008 recovered 109251 polynomials Sun Jan 13 14:10:58 2008 attempting to build 56141 cycles Sun Jan 13 14:10:58 2008 found 56141 cycles in 5 passes Sun Jan 13 14:11:02 2008 distribution of cycle lengths: Sun Jan 13 14:11:02 2008 length 1 : 16063 Sun Jan 13 14:11:02 2008 length 2 : 11348 Sun Jan 13 14:11:02 2008 length 3 : 9829 Sun Jan 13 14:11:02 2008 length 4 : 7247 Sun Jan 13 14:11:02 2008 length 5 : 4933 Sun Jan 13 14:11:02 2008 length 6 : 3080 Sun Jan 13 14:11:02 2008 length 7 : 1688 Sun Jan 13 14:11:02 2008 length 9+: 1953 Sun Jan 13 14:11:02 2008 largest cycle: 20 relations Sun Jan 13 14:11:04 2008 matrix is 56000 x 56141 with weight 3038483 (avg 54.12/col) Sun Jan 13 14:11:08 2008 filtering completed in 4 passes Sun Jan 13 14:11:09 2008 matrix is 51087 x 51151 with weight 2800152 (avg 54.74/col) Sun Jan 13 14:11:11 2008 saving the first 48 matrix rows for later Sun Jan 13 14:11:12 2008 matrix is 51039 x 51151 with weight 2114035 (avg 41.33/col) Sun Jan 13 14:11:12 2008 matrix includes 64 packed rows Sun Jan 13 14:11:12 2008 using block size 10922 for processor cache size 256 kB Sun Jan 13 14:11:14 2008 commencing Lanczos iteration Sun Jan 13 14:13:38 2008 lanczos halted after 809 iterations (dim = 51034) Sun Jan 13 14:13:39 2008 recovered 15 nontrivial dependencies Sun Jan 13 14:14:05 2008 prp32 factor: 29004454390043890346738171836159 Sun Jan 13 14:14:05 2008 prp55 factor: 3343949795648324158059774855467139266458728235931156713 Sun Jan 13 14:14:05 2008 elapsed time 05:49:02``` `Pentium3 750MHz, Windows Me)`

## 8×10164-9

### c117

name 名前 Jo Yeong Uk January 15, 2008 23:27:58 UTC 2008 年 1 月 16 日 (水) 8 時 27 分 58 秒 (日本時間) `842695872453016151605622018022638106849233137887964461947572705754837909988138005741669220163798173899089414403453017<117>` ```308636832720759777975330569373913552783<39> 2730380120299666574824672795496309223735144601900062623583012669777090797192599<79>``` ```Number: 79991_164 N=842695872453016151605622018022638106849233137887964461947572705754837909988138005741669220163798173899089414403453017 ( 117 digits) Divisors found: r1=308636832720759777975330569373913552783 (pp39) r2=2730380120299666574824672795496309223735144601900062623583012669777090797192599 (pp79) Version: GGNFS-0.77.1-20050930-nocona Total time: 32.49 hours. Scaled time: 69.91 units (timescale=2.152). Factorization parameters were as follows: name: 79991_164 n: 842695872453016151605622018022638106849233137887964461947572705754837909988138005741669220163798173899089414403453017 skew: 39822.29 # norm 1.28e+16 c5: 53100 c4: -1234949190 c3: -584057431279291 c2: 113539236838916353 c1: 172914044835050143787073 c0: 1186521124802802637136030280 # alpha -5.74 Y1: 3702589636013 Y0: -27549615417740198203969 # Murphy_E 4.20e-10 # M 398711343419018151458526581075477856479282773180178871103100914140391572713644277776727739442770855281441383627371216 type: gnfs rlim: 4500000 alim: 4500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 qintsize: 75000 Factor base limits: 4500000/4500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [2250000, 3825001) Primes: RFBsize:315948, AFBsize:317384, largePrimes:7631001 encountered Relations: rels:7736677, finalFF:795523 Max relations in full relation-set: 28 Initial matrix: 633411 x 795523 with sparse part having weight 61742503. Pruned matrix : 492974 x 496205 with weight 35425385. Polynomial selection time: 1.75 hours. Total sieving time: 29.00 hours. Total relation processing time: 0.15 hours. Matrix solve time: 1.41 hours. Time per square root: 0.17 hours. Prototype def-par.txt line would be: gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,75000 total time: 32.49 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init) Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406451) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)``` `Core 2 Quad Q6600`

## 8×10165-9

### c164

name 名前 Robert Backstrom January 13, 2008 23:28:30 UTC 2008 年 1 月 14 日 (月) 8 時 28 分 30 秒 (日本時間) `28469750889679715302491103202846975088967971530249110320284697508896797153024911032028469750889679715302491103202846975088967971530249110320284697508896797153024911<164>` ```18039899370116253132365185259<29> 1578154639645101849715900601142746848194561974023738373087552898239995805944710078341227436286841880064814566233260954631456666425083629<136>``` ```GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM] Input number is 28469750889679715302491103202846975088967971530249110320284697508896797153024911032028469750889679715302491103202846975088967971530249110320284697508896797153024911 (164 digits) Using B1=508000, B2=319854609, polynomial Dickson(3), sigma=1694339146 Step 1 took 6262ms Step 2 took 2839ms ********** Factor found in step 2: 18039899370116253132365185259 Found probable prime factor of 29 digits: 18039899370116253132365185259 Probable prime cofactor 1578154639645101849715900601142746848194561974023738373087552898239995805944710078341227436286841880064814566233260954631456666425083629 has 136 digits```

## 8×10167-9

### c140

name 名前 Robert Backstrom February 9, 2008 03:01:31 UTC 2008 年 2 月 9 日 (土) 12 時 1 分 31 秒 (日本時間) `39488981809017055747162623591394648967375332659252902108788421953271109231630813292581351977307557219918406277967262785656760741402330612249<140>` ```328122692405400099376586451015551<33> 120348219501465859000916415860703533989146155732677824787903392809000729377628019185401396804542816303837799<108>``` ```GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM] Input number is 39488981809017055747162623591394648967375332659252902108788421953271109231630813292581351977307557219918406277967262785656760741402330612249 (140 digits) Using B1=726000, B2=531991816, polynomial Dickson(3), sigma=2355788295 Step 1 took 7372ms Step 2 took 4057ms ********** Factor found in step 2: 328122692405400099376586451015551 Found probable prime factor of 33 digits: 328122692405400099376586451015551 Probable prime cofactor 120348219501465859000916415860703533989146155732677824787903392809000729377628019185401396804542816303837799 has 108 digits```

## 8×10168-9

### c145

name 名前 Robert Backstrom July 21, 2008 02:59:29 UTC 2008 年 7 月 21 日 (月) 11 時 59 分 29 秒 (日本時間) `2787224926293575534663953848834295056925125529822509299870571408485875014665190039863959156312828009389084493476356617788753739536968981764174801<145>` ```11681215841603794478271720614912632360063687<44> 238607433000818367820061770438598453100921190268658947143978441159074725390668672932146359772318330023<102>``` ```Number: n N=2787224926293575534663953848834295056925125529822509299870571408485875014665190039863959156312828009389084493476356617788753739536968981764174801 ( 145 digits) SNFS difficulty: 168 digits. Divisors found: Mon Jul 21 11:20:53 2008 prp44 factor: 11681215841603794478271720614912632360063687 Mon Jul 21 11:20:53 2008 prp102 factor: 238607433000818367820061770438598453100921190268658947143978441159074725390668672932146359772318330023 Mon Jul 21 11:20:53 2008 elapsed time 02:05:02 (Msieve 1.36) Version: GGNFS-0.77.1-20051202-athlon Total time: 43.83 hours. Scaled time: 79.91 units (timescale=1.823). Factorization parameters were as follows: name: KA_7_9_167_1 n: 2787224926293575534663953848834295056925125529822509299870571408485875014665190039863959156312828009389084493476356617788753739536968981764174801 skew: 0.51 deg: 5 c5: 250 c0: -9 m: 2000000000000000000000000000000000 type: snfs rlim: 5800000 alim: 5800000 lpbr: 28 lpba: 28 mfbr: 50 mfba: 50 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 5800000/5800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 50/50 Sieved special-q in [100000, 2500001) Primes: RFBsize:399993, AFBsize:399254, largePrimes:9743482 encountered Relations: rels:9275445, finalFF:825351 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 43.56 hours. Total relation processing time: 0.27 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,168,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,50,50,2.5,2.5,100000 total time: 43.83 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+```

## 8×10169-9

### c112

name 名前 Sinkiti Sibata January 18, 2008 22:43:36 UTC 2008 年 1 月 19 日 (土) 7 時 43 分 36 秒 (日本時間) `6069722772332613766716520417588435051267558844262481968159500137499985223028918430208947236222098739972967006361<112>` ```4793749476605961545931498988840397341<37> 1266174380191027066904884727886512981316500532551514322249230638281825634221<76>``` ```Number: 79991_169 N=6069722772332613766716520417588435051267558844262481968159500137499985223028918430208947236222098739972967006361 ( 112 digits) SNFS difficulty: 170 digits. Divisors found: r1=4793749476605961545931498988840397341 (pp37) r2=1266174380191027066904884727886512981316500532551514322249230638281825634221 (pp76) Version: GGNFS-0.77.1-20060513-k8 Total time: 146.83 hours. Scaled time: 292.79 units (timescale=1.994). Factorization parameters were as follows: name: 79991_169 n: 6069722772332613766716520417588435051267558844262481968159500137499985223028918430208947236222098739972967006361 m: 10000000000000000000000000000000000 c5: 4 c0: -45 skew: 1.62 type: snfs Factor base limits: 6000000/6000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [3000000, 7300001) Primes: RFBsize:412849, AFBsize:412326, largePrimes:6069244 encountered Relations: rels:6343174, finalFF:937345 Max relations in full relation-set: 28 Initial matrix: 825239 x 937345 with sparse part having weight 55828427. Pruned matrix : 731366 x 735556 with weight 41378296. Total sieving time: 140.28 hours. Total relation processing time: 0.29 hours. Matrix solve time: 6.01 hours. Time per square root: 0.26 hours. Prototype def-par.txt line would be: snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000 total time: 146.83 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 8×10173-9

### c137

name 名前 Serge Batalov August 7, 2008 16:59:47 UTC 2008 年 8 月 8 日 (金) 1 時 59 分 47 秒 (日本時間) `40706216637891801023383677458287837234234444819005492747922089441206704748823416076441419769190328580327663204620935791812058613888241971<137>` ```23660900021573994987453189462396384397709<41> 1720400179231385795985452436310629205021018478432220686288060649998543845046452046194341069059519<97>``` ```Using B1=5000000, B2=23417929090, polynomial Dickson(12), sigma=3442877901 Step 1 took 23954ms Step 2 took 14701ms ********** Factor found in step 2: 23660900021573994987453189462396384397709 Found probable prime factor of 41 digits: 23660900021573994987453189462396384397709 Probable prime cofactor 1720400179231385795985452436310629205021018478432220686288060649998543845046452046194341069059519 has 97 digits``` `GMP-ECM 6.2.1`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 12, 2008 09:00:00 UTC 2008 年 1 月 12 日 (土) 18 時 0 分 0 秒 (日本時間)

## 8×10174-9

### c134

name 名前 Serge Batalov August 28, 2008 19:19:05 UTC 2008 年 8 月 29 日 (金) 4 時 19 分 5 秒 (日本時間) `58777094517895553055443636290720472741426662661620618496991654506041782449059602630183910769281040786742763179523713820834726756239431<134>` `451656251742733916273683704772193<33>` `130136789408099093943642895529280422128901086592792253560350069883955602104627506623059801699443142567<102>` ```Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1366989160 Step 1 took 10130ms Step 2 took 6967ms ********** Factor found in step 2: 451656251742733916273683704772193 Found probable prime factor of 33 digits: 451656251742733916273683704772193 Composite cofactor 130136789408099093943642895529280422128901086592792253560350069883955602104627506623059801699443142567 has 102 digits``` `GMP-ECM 6.2.1`

### c102

name 名前 Jo Yeong Uk August 29, 2008 23:47:26 UTC 2008 年 8 月 30 日 (土) 8 時 47 分 26 秒 (日本時間) `130136789408099093943642895529280422128901086592792253560350069883955602104627506623059801699443142567<102>` ```592251998082554341409369753785202370375115807<45> 219732123875349514938455918437129730022904144914165154681<57>``` ```Number: 79991_174 N=130136789408099093943642895529280422128901086592792253560350069883955602104627506623059801699443142567 ( 102 digits) Divisors found: r1=592251998082554341409369753785202370375115807 (pp45) r2=219732123875349514938455918437129730022904144914165154681 (pp57) Version: GGNFS-0.77.1-20050930-nocona Total time: 4.00 hours. Scaled time: 9.56 units (timescale=2.392). Factorization parameters were as follows: name: 79991_174 n: 130136789408099093943642895529280422128901086592792253560350069883955602104627506623059801699443142567 skew: 10873.83 # norm 5.58e+13 c5: 8280 c4: -265261398 c3: -736553682108 c2: 6989101037039633 c1: -128237153725381623216 c0: 63440594100681936495345 # alpha -5.23 Y1: 31466063483 Y0: -27496482160245593002 # Murphy_E 2.83e-09 # M 12646438619583911536750972380335684031448376564007326365424264391297480438938008412765721828969481049 type: gnfs rlim: 1500000 alim: 1500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 50000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [750000, 1350001) Primes: RFBsize:114155, AFBsize:113556, largePrimes:4385038 encountered Relations: rels:4331759, finalFF:321559 Max relations in full relation-set: 28 Initial matrix: 227790 x 321559 with sparse part having weight 27654118. Pruned matrix : 180096 x 181298 with weight 12977876. Polynomial selection time: 0.31 hours. Total sieving time: 3.46 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.12 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,49,49,2.6,2.6,50000 total time: 4.00 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: 8047092k/8912896k available (2460k kernel code, 339200k reserved, 1251k data, 196k init) Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673799) Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347) Calibrating delay using timer specific routine.. 5344.51 BogoMIPS (lpj=2672259) Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672350)``` `Core 2 Quad Q6700`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 12, 2008 09:00:00 UTC 2008 年 1 月 12 日 (土) 18 時 0 分 0 秒 (日本時間)

## 8×10177-9

### c142

name 名前 Warut Roonguthai January 31, 2012 18:51:45 UTC 2012 年 2 月 1 日 (水) 3 時 51 分 45 秒 (日本時間) `1895809749983499223161378577449224665212472266584637468844805660555251310499427442938674150441702844483801295587373610858903385027721199325859<142>` ```293404665016948568264301967590385417545820782950131890352575649<63> 6461416521356221327173118082655938446851161197468240636540461926587279552388291<79>``` ```N = 1895809749983499223161378577449224665212472266584637468844805660555251310499427442938674150441702844483801295587373610858903385027721199325859 (142 digits) SNFS difficulty: 178 digits. Divisors found: r1=293404665016948568264301967590385417545820782950131890352575649 (pp63) r2=6461416521356221327173118082655938446851161197468240636540461926587279552388291 (pp79) Version: Msieve v. 1.48 Total time: 32.50 hours. Factorization parameters were as follows: name: 8*10^177-9 n: 1895809749983499223161378577449224665212472266584637468844805660555251310499427442938674150441702844483801295587373610858903385027721199325859 Y0: 200000000000000000000000000000000000 Y1: -1 c0: -9 c1: 0 c2: 0 c3: 0 c4: 0 c5: 25 skew: 0.82 type: snfs Factor base limits: 6500000/6500000 Large primes per side: 3 Large prime bits: 28/28 Sieved rational special-q in [0, 0) Total raw relations: 20532171 Relations: 2351730 relations Pruned matrix : 1356124 x 1356347 Polynomial selection time: 0.00 hours. Total sieving time: 29.95 hours. Total relation processing time: 0.12 hours. Matrix solve time: 2.37 hours. time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,55,55,2.5,2.5,100000 total time: 32.50 hours. Intel64 Family 6 Model 42 Stepping 7, GenuineIntel Windows-7-6.1.7601-SP1 processors: 4, speed: 2.29GHz```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 12, 2008 09:00:00 UTC 2008 年 1 月 12 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 23, 2010 12:40:20 UTC 2010 年 10 月 23 日 (土) 21 時 40 分 20 秒 (日本時間)
403e62144110Ignacio SantosOctober 23, 2010 12:40:20 UTC 2010 年 10 月 23 日 (土) 21 時 40 分 20 秒 (日本時間)
2034Wataru SakaiNovember 8, 2011 13:41:35 UTC 2011 年 11 月 8 日 (火) 22 時 41 分 35 秒 (日本時間)
4511e632 / 3991Ignacio SantosOctober 23, 2010 12:40:20 UTC 2010 年 10 月 23 日 (土) 21 時 40 分 20 秒 (日本時間)

## 8×10180-9

### c181

name 名前 Jo Yeong Uk January 15, 2008 09:28:29 UTC 2008 年 1 月 15 日 (火) 18 時 28 分 29 秒 (日本時間) `7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<181>` `826115977894170609050375729157582021497<39>` `9683870320959750397301131599191235511655411576027658067144718311274518875633720728729028560156827649352670707054841461900759820696819277771503<142>` ```GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM] Input number is 7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991 (181 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1512967684 Step 1 took 30065ms Step 2 took 13766ms ********** Factor found in step 2: 826115977894170609050375729157582021497 Found probable prime factor of 39 digits: 826115977894170609050375729157582021497 Composite cofactor 9683870320959750397301131599191235511655411576027658067144718311274518875633720728729028560156827649352670707054841461900759820696819277771503 has 142 digits``` `Core 2 Quad Q6600`

### c142

name 名前 matsui May 19, 2009 09:05:35 UTC 2009 年 5 月 19 日 (火) 18 時 5 分 35 秒 (日本時間) `9683870320959750397301131599191235511655411576027658067144718311274518875633720728729028560156827649352670707054841461900759820696819277771503<142>` ```9990207070327391855783197701498143287718371662893791939986474480751<67> 969336296313865853470535064289775123620533028668230038800912477861614266753<75>``` ```N=9683870320959750397301131599191235511655411576027658067144718311274518875633720728729028560156827649352670707054841461900759820696819277771503 ( 142 digits) SNFS difficulty: 180 digits. Divisors found: r1=9990207070327391855783197701498143287718371662893791939986474480751 (pp67) r2=969336296313865853470535064289775123620533028668230038800912477861614266753 (pp75) Version: Msieve v. 1.41 Total time: 110.65 hours. Scaled time: 244.98 units (timescale=2.214). Factorization parameters were as follows: n: 9683870320959750397301131599191235511655411576027658067144718311274518875633720728729028560156827649352670707054841461900759820696819277771503 m: 1000000000000000000000000000000000000 deg: 5 c5: 8 c0: -9 skew: 1.02 type: snfs lss: 1 rlim: 7200000 alim: 7200000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 qintsize: 200000 Factor base limits: 7200000/7200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3600000, 5400001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1294696 x 1294944 Total sieving time: 106.54 hours. Total relation processing time: 0.18 hours. Matrix solve time: 3.78 hours. Time per square root: 0.15 hours. Prototype def-par.txt line would be: snfs,180.000,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000 total time: 110.65 hours.```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 12, 2008 09:00:00 UTC 2008 年 1 月 12 日 (土) 18 時 0 分 0 秒 (日本時間)

## 8×10184-9

### c124

name 名前 Robert Backstrom January 26, 2008 07:33:14 UTC 2008 年 1 月 26 日 (土) 16 時 33 分 14 秒 (日本時間) `4384711777461565784803384687874456763494987318315312396353725368258140022068040969152453049616686236091674817544155602180639<124>` ```16036893578982114464326470006735731329<38> 273414034698599650866625624274832254903897139353621479873467317551382470700435628639391<87>``` ```GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM] Input number is 4384711777461565784803384687874456763494987318315312396353725368258140022068040969152453049616686236091674817544155602180639 (124 digits) Using B1=1836000, B2=1995353410, polynomial Dickson(6), sigma=2743095310 Step 1 took 19828ms ********** Factor found in step 1: 16036893578982114464326470006735731329 Found probable prime factor of 38 digits: 16036893578982114464326470006735731329 Probable prime cofactor 273414034698599650866625624274832254903897139353621479873467317551382470700435628639391 has 87 digits```

## 8×10186-9

### c164

name 名前 Rich Dickerson April 18, 2014 13:42:35 UTC 2014 年 4 月 18 日 (金) 22 時 42 分 35 秒 (日本時間) `62530061002747587666251464991565903659267763208907604705967016038102132403369999133804719711007850582072044273238448440030480087924216682502719976570593580442803001<164>` ```7792689731598829239462487148882553000521530686313<49> 8024194874485047703519917845528012680760042092666387174497595573580873743456741120481696442116176478200628281751377<115>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2999268530 Step 1 took 25871ms Step 2 took 8695ms ********** Factor found in step 2: 7792689731598829239462487148882553000521530686313 Found probable prime factor of 49 digits: 7792689731598829239462487148882553000521530686313 Probable prime cofactor 8024194874485047703519917845528012680760042092666387174497595573580873743456741120481696442116176478200628281751377 has 115 digits``` `GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]` `Core-i5, 3.2 GHz, OpenSUSE`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 12, 2008 09:00:00 UTC 2008 年 1 月 12 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 23, 2010 12:40:52 UTC 2010 年 10 月 23 日 (土) 21 時 40 分 52 秒 (日本時間)
403e61410 / 2144110Ignacio SantosOctober 23, 2010 12:40:52 UTC 2010 年 10 月 23 日 (土) 21 時 40 分 52 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:16:10 UTC 2012 年 2 月 10 日 (金) 21 時 16 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:30 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 30 秒 (日本時間)
4511e632 / 4153Ignacio SantosOctober 23, 2010 12:40:52 UTC 2010 年 10 月 23 日 (土) 21 時 40 分 52 秒 (日本時間)

## 8×10188-9

### c173

name 名前 Kenji Ibusuki March 23, 2018 14:22:42 UTC 2018 年 3 月 23 日 (金) 23 時 22 分 42 秒 (日本時間) `12361081769315232268117296647687104334038465864802728862498387960929570587292257900901705308341430995588150830938335205638071300453473096833148894389249970975564917087181959<173>` ```24708429609994175097734154407390913318412121051201351269847898750755065188688709610697<86> 500277919901286123788847387177898953814010750877712565143716310335071116668731990013647<87>``` ```Number: 79991_188 N=12361081769315232268117296647687104334038465864802728862498387960929570587292257900901705308341430995588150830938335205638071300453473096833148894389249970975564917087181959 ( 173 digits) SNFS difficulty: 188 digits. Divisors found: (Total dependency: 6) r1=24708429609994175097734154407390913318412121051201351269847898750755065188688709610697 (pp86) r2=500277919901286123788847387177898953814010750877712565143716310335071116668731990013647 (pp87) Msieve version: Msieve v. 1.49 (SVN unknown) GGNFS version: GGNFS-0.77.1-VC8(UTE) Total time: 266.25 hours (14.15 calendar hours). Scaled time: 1202.10 units (timescale=4.515). Factorization parameters were as follows: n: 12361081769315232268117296647687104334038465864802728862498387960929570587292257900901705308341430995588150830938335205638071300453473096833148894389249970975564917087181959 m: 20000000000000000000000000000000000000 deg: 5 c5: 250 c0: -9 skew: 0.51 # Murphy_E = 5.219e-11 type: snfs lss: 1 rlim: 9900000 alim: 9900000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 relslim: 28300000 qintsize: 5000 Polynomial score was as follows: skew 0.51, size 4.789e-013, alpha -0.042, combined = 5.219e-011 rroots = 1 Factor base limits: 9900000/9900000 Large primes per side: 3 Large prime bits: 28/28 Sieved special-q in [4950000, 19240001) Relations: raw-rels:28556318 rels:25123799, finalFF:1425398 Pruned matrix : 1424949 x 1425174 Total sieving time: 257.82 hours (12.62 calendar hours). Total relation processing time: 0.11 hours. Total matrix build processing time: 0.04 hours. Matrix pruned processing time: (N/A) Matrix solve time: 8.04 hours (1.15 calendar hours). Total time of square root: 0.24 hours. Prototype def-par.txt line would be: snfs,188,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000 total time: 266.25 hours (14.15 calendar hours). --------- CPU info (if available) ----------``` ```Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with factMsieve.pl (decomposed + modified) snfs (without procrels.exe, matbuild.exe for "finalFF" calculation)``` ```[Envilonment] PC #1 (Master) --- Intel Core i7 2600, 16GB RAM, Windows 7 64bit PC #2,3 (Slave) --- Intel Core i7 4770, 16GB RAM, Windows 7 64bit PC #4 (Slave) --- Intel Core 2 Quad Q6600, 4GB RAM, Windows Vista 32bit [Threads used] (Sieving) PC #1 --- 7 threads used PC #2,3 --- 7 threads used x 2 PC #4 --- 4 threads used (Relation processing and Matrix build processing) PC #1 --- 1 thread used (Matrix solve) PC #1 --- 7 threads used (Square root processing) PC #1 --- 1 thread used```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 12, 2008 09:00:00 UTC 2008 年 1 月 12 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 23, 2010 12:41:24 UTC 2010 年 10 月 23 日 (土) 21 時 41 分 24 秒 (日本時間)
403e61410110Ignacio SantosOctober 23, 2010 12:41:24 UTC 2010 年 10 月 23 日 (土) 21 時 41 分 24 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:16:18 UTC 2012 年 2 月 10 日 (金) 21 時 16 分 18 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:30 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 30 秒 (日本時間)
4511e6732 / 415332Ignacio SantosOctober 23, 2010 12:41:24 UTC 2010 年 10 月 23 日 (土) 21 時 41 分 24 秒 (日本時間)
400Rich DickersonApril 18, 2014 14:47:53 UTC 2014 年 4 月 18 日 (金) 23 時 47 分 53 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:58 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 58 秒 (日本時間)

## 8×10189-9

### c163

name 名前 Eric Jeancolas July 28, 2020 12:06:40 UTC 2020 年 7 月 28 日 (火) 21 時 6 分 40 秒 (日本時間) `2591427364336719491235389806977115681555038614279184025366308696610268250530517408044902827364339063789302198421776397419940583459949469105359168620438392722790229<163>` ```99760061273644004036629721962507984411998232045559266831<56> 25976601570325605818016568315425261716559739910709859393895853771282907581296925254694377486952180265351259<107>``` ```2591427364336719491235389806977115681555038614279184025366308696610268250530517408044902827364339063789302198421776397419940583459949469105359168620438392722790229=99760061273644004036629721962507984411998232045559266831*25976601570325605818016568315425261716559739910709859393895853771282907581296925254694377486952180265351259 n: 2591427364336719491235389806977115681555038614279184025366308696610268250530517408044902827364339063789302198421776397419940583459949469105359168620438392722790229 skew: 1.62 type: snfs c0: -45 c5: 4 Y0: 100000000000000000000000000000000000000 Y1: -1 # f(x) = 4*x^5-45 # g(x) = -x+100000000000000000000000000000000000000 Info:Square Root: Factors: 25976601570325605818016568315425261716559739910709859393895853771282907581296925254694377486952180265351259 99760061273644004036629721962507984411998232045559266831 Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info) Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info) Info:Generate Factor Base: Total cpu/real time for makefb: 4.53/1.97657 Info:Generate Free Relations: Total cpu/real time for freerel: 101.6/26.1177 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 24418949 Info:Lattice Sieving: Average J: 1894.22 for 1694725 special-q, max bucket fill -bkmult 1.0,1s:1.079650 Info:Lattice Sieving: Total time: 366613s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 48.3/57.9177 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.60000000000001s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 369.05/227.026 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 197.2s Info:Filtering - Singleton removal: Total cpu/real time for purge: 287.23/171.896 Info:Filtering - Merging: Total cpu/real time for merge: 280.85/80.2695 Info:Filtering - Merging: Total cpu/real time for replay: 72.57/64.0239 Info:Linear Algebra: Total cpu/real time for bwc: 59042/15147.6 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 9636.32, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (58624 iterations) Info:Linear Algebra: Lingen CPU time 372.06, WCT time 107.81 Info:Linear Algebra: Mksol: WCT time 5298.68, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29440 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 67.81/27.6849 Info:Square Root: Total cpu/real time for sqrt: 455.07/147.611 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 760687/189867 Info:root: Cleaning up computation data in /tmp/cado.bc8nc77q 25976601570325605818016568315425261716559739910709859393895853771282907581296925254694377486952180265351259 99760061273644004036629721962507984411998232045559266831``` `cado-nfs-3.0.0` ```Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 12, 2008 09:00:00 UTC 2008 年 1 月 12 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 23, 2010 12:41:50 UTC 2010 年 10 月 23 日 (土) 21 時 41 分 50 秒 (日本時間)
403e61410110Ignacio SantosOctober 23, 2010 12:41:50 UTC 2010 年 10 月 23 日 (土) 21 時 41 分 50 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:16:27 UTC 2012 年 2 月 10 日 (金) 21 時 16 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:31 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 31 秒 (日本時間)
4511e6493232Ignacio SantosOctober 23, 2010 12:41:50 UTC 2010 年 10 月 23 日 (土) 21 時 41 分 50 秒 (日本時間)
600Rich DickersonApril 20, 2014 17:38:17 UTC 2014 年 4 月 21 日 (月) 2 時 38 分 17 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:59 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 59 秒 (日本時間)
4000Robert BalfourMarch 27, 2020 01:21:42 UTC 2020 年 3 月 27 日 (金) 10 時 21 分 42 秒 (日本時間)

## 8×10190-9

### c132

name 名前 Wataru Sakai April 21, 2009 14:35:24 UTC 2009 年 4 月 21 日 (火) 23 時 35 分 24 秒 (日本時間) `213129189683453389961000628060718872981881141020453419148869982057782017070240189509696996285702691786901846642105963989271361529209<132>` ```5956694674603727915072852316779388032674317487<46> 35779774073720156830334101164802233650029559245191540826257705794588243741259881976407<86>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3143978648 Step 1 took 38905ms Step 2 took 14275ms ********** Factor found in step 2: 5956694674603727915072852316779388032674317487 Found probable prime factor of 46 digits: 5956694674603727915072852316779388032674317487 Probable prime cofactor 35779774073720156830334101164802233650029559245191540826257705794588243741259881976407 has 86 digits``` `GMP-ECM 6.2.1 [powered by GMP 4.2.4]`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 12, 2008 09:00:00 UTC 2008 年 1 月 12 日 (土) 18 時 0 分 0 秒 (日本時間)

## 8×10191-9

### c192

name 名前 Jo Yeong Uk January 12, 2008 10:13:36 UTC 2008 年 1 月 12 日 (土) 19 時 13 分 36 秒 (日本時間) `799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<192>` `2838215384488977187840273748749501<34>` `281867262214153842659280716998882524780880662933308691584296839537167821919759679358142157019600539866645046737600020701546566244595946561032467565638861495491<159>` ```GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM] Input number is 799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991 (192 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=301425253 Step 1 took 10124ms Step 2 took 5864ms ********** Factor found in step 2: 2838215384488977187840273748749501 Found probable prime factor of 34 digits: 2838215384488977187840273748749501 Composite cofactor 281867262214153842659280716998882524780880662933308691584296839537167821919759679358142157019600539866645046737600020701546566244595946561032467565638861495491 has 159 digits``` `Core 2 Quad Q6600`

### c159

name 名前 Edwin Hall December 13, 2020 03:13:25 UTC 2020 年 12 月 13 日 (日) 12 時 13 分 25 秒 (日本時間) `281867262214153842659280716998882524780880662933308691584296839537167821919759679358142157019600539866645046737600020701546566244595946561032467565638861495491<159>` ```11412131969599008438240318786662726098816744366881341138628748124351174280239<77> 24698913661796525704065445766487969144708213183459085751204613433159351921151281069<83>``` ```Factors: 24698913661796525704065445766487969144708213183459085751204613433159351921151281069 11412131969599008438240318786662726098816744366881341138628748124351174280239 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 130.25/177.128 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 177.0s Info:Filtering - Merging: Total cpu/real time for merge: 301.73/49.3303 Info:Filtering - Merging: Total cpu/real time for replay: 58.83/49.1886 Info:Quadratic Characters: Total cpu/real time for characters: 78.87/21.0748 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 781.13/197.942 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 165.4s Info:Square Root: Total cpu/real time for sqrt: 2668.58/368.431 Info:Linear Algebra: Total cpu/real time for bwc: 52105/13328.5 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 32566.43, WCT time 8358.17, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (61000 iterations) Info:Linear Algebra: Lingen CPU time 728.86, WCT time 93.58 Info:Linear Algebra: Mksol: CPU time 17809.4, WCT time 4588.54, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (31000 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 262.04/88.9776 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 55031966 Info:Lattice Sieving: Average J: 3791.36 for 481189 special-q, max bucket fill -bkmult 1.0,1s:1.253070 Info:Lattice Sieving: Total time: 224248s Info:Generate Free Relations: Total cpu/real time for freerel: 627.02/84.2748 Info:Generate Factor Base: Total cpu/real time for makefb: 37.51/6.7871 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.29095e+06/20754.6 Info:root: Cleaning up computation data in /tmp/cado.rqlrc6ux 24698913661796525704065445766487969144708213183459085751204613433159351921151281069 11412131969599008438240318786662726098816744366881341138628748124351174280239``` `CADO-NFS`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 12, 2008 09:00:00 UTC 2008 年 1 月 12 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 23, 2010 12:42:17 UTC 2010 年 10 月 23 日 (土) 21 時 42 分 17 秒 (日本時間)
403e63135110Ignacio SantosOctober 23, 2010 12:42:17 UTC 2010 年 10 月 23 日 (土) 21 時 42 分 17 秒 (日本時間)
425Serge BatalovFebruary 8, 2012 03:32:07 UTC 2012 年 2 月 8 日 (水) 12 時 32 分 7 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:16:35 UTC 2012 年 2 月 10 日 (金) 21 時 16 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:32 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 32 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:32 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 32 秒 (日本時間)
4511e6403232Ignacio SantosOctober 23, 2010 12:42:17 UTC 2010 年 10 月 23 日 (土) 21 時 42 分 17 秒 (日本時間)
4000Robert BalfourApril 17, 2020 21:47:42 UTC 2020 年 4 月 18 日 (土) 6 時 47 分 42 秒 (日本時間)

## 8×10193-9

### c134

name 名前 Sinkiti Sibata May 23, 2009 10:23:31 UTC 2009 年 5 月 23 日 (土) 19 時 23 分 31 秒 (日本時間) `29565143646628214552910727018766282005163877039936094266740542090166082984748527095016519714301140410272311793378686931866644647702979<134>` ```47530447988775454504196992466925654385332702204589<50> 622025352119764712028843316628216948512092949996598055244945354900245093351541822511<84>``` ```Number: 79991_193 N=29565143646628214552910727018766282005163877039936094266740542090166082984748527095016519714301140410272311793378686931866644647702979 ( 134 digits) Divisors found: r1=47530447988775454504196992466925654385332702204589 (pp50) r2=622025352119764712028843316628216948512092949996598055244945354900245093351541822511 (pp84) Version: Msieve-1.40 Total time: 379.04 hours. Scaled time: 745.57 units (timescale=1.967). Factorization parameters were as follows: name: 79991_193 # Murphy_E = 4.630559e-11, selected by Jeff Gilchrist n: 29565143646628214552910727018766282005163877039936094266740542090166082984748527095016519714301140410272311793378686931866644647702979 Y0: -57543593694049710599247587 Y1: 721718734872989 c0: -90368218213303982886078566019840 c1: 1320429414049798041363608796 c2: 8903540005306081349992 c3: -27320914772887363 c4: -61896802964 c5: 46860 skew: 386466.26 type: gnfs # selected mechanically rlim: 12100000 alim: 12100000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.6 alambda: 2.6 Factor base limits: 12100000/12100000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved algebraic special-q in [6050000, 14950001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1834899 x 1835147 Total sieving time: 379.04 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: gnfs,133,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,12100000,12100000,28,28,54,54,2.6,2.6,100000 total time: 379.04 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 12, 2008 09:00:00 UTC 2008 年 1 月 12 日 (土) 18 時 0 分 0 秒 (日本時間)

## 8×10195-9

### c120

name 名前 Jo Yeong Uk January 15, 2008 11:37:24 UTC 2008 年 1 月 15 日 (火) 20 時 37 分 24 秒 (日本時間) `289152639342099837888483610372205841741065603401564385865244805557227055217439830370907560198999823078735969567635686951<120>` ```19119580804026448034824934992231<32> 15123377562818027057411188140424291585847836807190418568871815626881749196170735312717121<89>``` ```GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM] Input number is 289152639342099837888483610372205841741065603401564385865244805557227055217439830370907560198999823078735969567635686951 (120 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3290480722 Step 1 took 6610ms Step 2 took 4066ms ********** Factor found in step 2: 19119580804026448034824934992231 Found probable prime factor of 32 digits: 19119580804026448034824934992231 Probable prime cofactor 15123377562818027057411188140424291585847836807190418568871815626881749196170735312717121 has 89 digits``` `Core 2 Quad Q6600`

## 8×10196-9

### c187

name 名前 Robert Backstrom March 15, 2012 20:20:57 UTC 2012 年 3 月 16 日 (金) 5 時 20 分 57 秒 (日本時間) `4870090283549611357173900624575996585213471414044546711318794782800679163627138563032150781701804410777227307908392638219069210080951912395486931871210218216502807646526635711971447817801<187>` ```81414877802867842804171020513313290804837130370072920417469071886006761367<74> 59818185753980978199058118896566485703373129613222157612388667504251304310190969765131248916109490387978301091103<113>``` ```Number: n N=4870090283549611357173900624575996585213471414044546711318794782800679163627138563032150781701804410777227307908392638219069210080951912395486931871210218216502807646526635711971447817801 ( 187 digits) SNFS difficulty: 196 digits. Divisors found: Fri Mar 16 06:48:10 2012 prp74 factor: 81414877802867842804171020513313290804837130370072920417469071886006761367 Fri Mar 16 06:48:10 2012 prp113 factor: 59818185753980978199058118896566485703373129613222157612388667504251304310190969765131248916109490387978301091103 Fri Mar 16 06:48:10 2012 elapsed time 04:07:47 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=1.654). Factorization parameters were as follows: name: KA_79991_196 n: 4870090283549611357173900624575996585213471414044546711318794782800679163627138563032150781701804410777227307908392638219069210080951912395486931871210218216502807646526635711971447817801 m: 1000000000000000000000000000000000000000 # c187, diff: 196.9 skew: 0.65 deg: 5 c5: 80 c0: -9 type: snfs lss: 1 rlim: 15000000 alim: 15000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 15000000/15000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 57/57 Sieved special-q in [100000, 13100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 8704003 hash collisions in 77302765 relations (70850829 unique) Msieve: matrix is 1428904 x 1429137 (399.8 MB) Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,196,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU1: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU2: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU3: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU4: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU5: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU6: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU7: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468) Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554) Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554) Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554) Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556) Total of 8 processors activated (44762.71 BogoMIPS).```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 12, 2008 09:00:00 UTC 2008 年 1 月 12 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 23, 2010 12:42:47 UTC 2010 年 10 月 23 日 (土) 21 時 42 分 47 秒 (日本時間)
403e61110 / 2144110Ignacio SantosOctober 23, 2010 12:42:47 UTC 2010 年 10 月 23 日 (土) 21 時 42 分 47 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:16:44 UTC 2012 年 2 月 10 日 (金) 21 時 16 分 44 秒 (日本時間)
4511e632 / 4220Ignacio SantosOctober 23, 2010 12:42:47 UTC 2010 年 10 月 23 日 (土) 21 時 42 分 47 秒 (日本時間)

## 8×10197-9

### c169

name 名前 Ignacio Santos October 23, 2010 12:39:24 UTC 2010 年 10 月 23 日 (土) 21 時 39 分 24 秒 (日本時間) `4047262329443250057887550819899108175975171371478213673194754179231810047624829826656727381875945885359417535752045105517727691592940261537067267217589420580234705199521<169>` `1427215094366113765241891957567569<34>` `2835776012613438226801016476760891315908898452943939591922899126460874098282257777384696507719757390891052507275748186718986579324950609<136>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=188830890 Step 1 took 8081ms Step 2 took 6194ms ********** Factor found in step 2: 1427215094366113765241891957567569 Found probable prime factor of 34 digits: 1427215094366113765241891957567569 Composite cofactor 2835776012613438226801016476760891315908898452943939591922899126460874098282257777384696507719757390891052507275748186718986579324950609 has 136 digits``` `GMP-ECM 6.3`

### c136

name 名前 Wataru Sakai December 3, 2010 10:34:14 UTC 2010 年 12 月 3 日 (金) 19 時 34 分 14 秒 (日本時間) `2835776012613438226801016476760891315908898452943939591922899126460874098282257777384696507719757390891052507275748186718986579324950609<136>` ```1908958733856301694391969850590058850504946851<46> 1485509331511250677828481937411850202310266579344367442824439124264860593989565789479246459<91>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2042445678 Step 1 took 50604ms Step 2 took 18122ms ********** Factor found in step 2: 1908958733856301694391969850590058850504946851 Found probable prime factor of 46 digits: 1908958733856301694391969850590058850504946851 Probable prime cofactor 1485509331511250677828481937411850202310266579344367442824439124264860593989565789479246459 has 91 digits``` `GMP-ECM 6.2.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 12, 2008 09:00:00 UTC 2008 年 1 月 12 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 23, 2010 19:21:26 UTC 2010 年 10 月 24 日 (日) 4 時 21 分 26 秒 (日本時間)
403e6860110Ignacio SantosOctober 23, 2010 19:21:26 UTC 2010 年 10 月 24 日 (日) 4 時 21 分 26 秒 (日本時間)
750Ignacio SantosNovember 15, 2010 16:28:55 UTC 2010 年 11 月 16 日 (火) 1 時 28 分 55 秒 (日本時間)
4511e6246 / 407132Ignacio SantosOctober 23, 2010 19:21:26 UTC 2010 年 10 月 24 日 (日) 4 時 21 分 26 秒 (日本時間)
214Ignacio SantosNovember 15, 2010 16:28:55 UTC 2010 年 11 月 16 日 (火) 1 時 28 分 55 秒 (日本時間)
5043e658 / 7464Ignacio SantosNovember 15, 2010 16:28:55 UTC 2010 年 11 月 16 日 (火) 1 時 28 分 55 秒 (日本時間)

## 8×10201-9

### c162

name 名前 Bob Backstrom June 16, 2023 17:20:04 UTC 2023 年 6 月 17 日 (土) 2 時 20 分 4 秒 (日本時間) `327885143288386481356764937818611038150393207814738326466843212365548611446743777078639510000143948799595718681805691140882502761381039938670637533649485305968881<162>` ```8810323494327406159856060501854724310849432824704787786992355629<64> 37216016358479666099272379523431381415518510428461081129389373677507890507638258597878754054095189<98>``` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 327885143288386481356764937818611038150393207814738326466843212365548611446743777078639510000143948799595718681805691140882502761381039938670637533649485305968881 (162 digits) Using B1=45310000, B2=240492732496, polynomial Dickson(12), sigma=1:956250037 Step 1 took 105741ms Step 2 took 34661ms ********** Factor found in step 2: 8810323494327406159856060501854724310849432824704787786992355629 Found prime factor of 64 digits: 8810323494327406159856060501854724310849432824704787786992355629 Prime cofactor 37216016358479666099272379523431381415518510428461081129389373677507890507638258597878754054095189 has 98 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 10, 2012 12:16:55 UTC 2012 年 2 月 10 日 (金) 21 時 16 分 55 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:32 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 32 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:32 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 32 秒 (日本時間)
4511e64480Ignacio SantosAugust 6, 2021 19:58:03 UTC 2021 年 8 月 7 日 (土) 4 時 58 分 3 秒 (日本時間)

## 8×10203-9

### c148

name 名前 Dmitry Domanov February 8, 2012 09:34:14 UTC 2012 年 2 月 8 日 (水) 18 時 34 分 14 秒 (日本時間) `1259953441962904397216332355378444683876919814069150080322786850584808060947331346727725803079013471269862518923006387200061519170837586004399036219<148>` ```53694954854754892804718221745868071<35> 403474286370117420764849993380133628803096457592087361<54> 58157422897196965521108495629688569153637861218663306686349<59>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1015594997 Step 1 took 16436ms Step 2 took 7372ms ********** Factor found in step 2: 53694954854754892804718221745868071 Found probable prime factor of 35 digits: 53694954854754892804718221745868071 Composite cofactor 23465024700571672426037038831151078790356117056564845369834719186769085143950263094525152118525893368947034134989 has 113 digits N=23465024700571672426037038831151078790356117056564845369834719186769085143950263094525152118525893368947034134989 ( 113 digits) Divisors found: r1=403474286370117420764849993380133628803096457592087361 (pp54) r2=58157422897196965521108495629688569153637861218663306686349 (pp59) Version: Msieve v. 1.48 Total time: 0.37 hours. Scaled time: 0.62 units (timescale=1.698). Factorization parameters were as follows: n: 23465024700571672426037038831151078790356117056564845369834719186769085143950263094525152118525893368947034134989 skew: 32978.18 c0: 657686494915919282743911905 c1: 112821936250026173108418 c2: -6744926436927412759 c3: -208293535605852 c4: 3390861404 c5: 90576 Y0: -3038649437090507030202 Y1: 912400339829 rlim: 3980000 alim: 3980000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 rlambda: 2.500000 alambda: 2.500000 type: gnfs Factor base limits: 3980000/3980000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 54/54 Sieved algebraic special-q in [1990000, 2890001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 446861 x 447089 Total sieving time: 0.00 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.23 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3980000,3980000,27,27,54,54,2.500000,2.500000,100000 total time: 0.37 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)

## 8×10204-9

### c199

name 名前 Warut Roonguthai February 7, 2012 17:08:45 UTC 2012 年 2 月 8 日 (水) 2 時 8 分 45 秒 (日本時間) `8187049520392405283512407985238749714732493273827128402614534264337314627289687490085994721399821726996693455374951517316121426224961699958962414279033068516394054973990767054903377464941518881894647<199>` `16205329375756221583103465311673<32>` `505207227237265374887558002728015292695785941385988850601995045775830174065319994869178937526427979697918458667522201603126308966220899905162535335181384817442229537839<168>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2633903517 Step 1 took 10093ms Step 2 took 5897ms ********** Factor found in step 2: 16205329375756221583103465311673 Found probable prime factor of 32 digits: 16205329375756221583103465311673 Composite cofactor 505207227237265374887558002728015292695785941385988850601995045775830174065319994869178937526427979697918458667522201603126308966220899905162535335181384817442229537839 has 168 digits``` `GMP-ECM 6.3`

### c168

name 名前 Bob Backstrom October 26, 2023 23:40:43 UTC 2023 年 10 月 27 日 (金) 8 時 40 分 43 秒 (日本時間) `505207227237265374887558002728015292695785941385988850601995045775830174065319994869178937526427979697918458667522201603126308966220899905162535335181384817442229537839<168>` ```61185149841729841575298622995107368852741610290110620652278677279<65> 8257023616745334624926846785073183873444087223409209758234120829221527203747230657227602028903195238641<103>``` ```Number: n N=505207227237265374887558002728015292695785941385988850601995045775830174065319994869178937526427979697918458667522201603126308966220899905162535335181384817442229537839 ( 168 digits) SNFS difficulty: 205 digits. Divisors found: Fri Oct 27 10:03:21 2023 prp65 factor: 61185149841729841575298622995107368852741610290110620652278677279 Fri Oct 27 10:03:21 2023 prp103 factor: 8257023616745334624926846785073183873444087223409209758234120829221527203747230657227602028903195238641 Fri Oct 27 10:03:21 2023 elapsed time 02:39:04 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.092). Factorization parameters were as follows: # # N = 8x10^204-9 = 79(203)1 # n: 505207227237265374887558002728015292695785941385988850601995045775830174065319994869178937526427979697918458667522201603126308966220899905162535335181384817442229537839 m: 100000000000000000000000000000000000000000 deg: 5 c5: 4 c0: -45 skew: 1.62 # Murphy_E = 1.11e-11 type: snfs lss: 1 rlim: 18700000 alim: 18700000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 18700000/18700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 42150000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3429820 hash collisions in 19898942 relations (16907165 unique) Msieve: matrix is 2224001 x 2224226 (625.0 MB) Sieving start time: 2023/10/26 13:42:38 Sieving end time : 2023/10/27 07:23:51 Total sieving time: 17hrs 41min 13secs. Total relation processing time: 2hrs 31min 31sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 14sec. Prototype def-par.txt line would be: snfs,205,5,0,0,0,0,0,0,0,0,18700000,18700000,27,27,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 10, 2012 12:17:05 UTC 2012 年 2 月 10 日 (金) 21 時 17 分 5 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:33 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 33 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:33 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 33 秒 (日本時間)

## 8×10206-9

### c179

name 名前 Bob Backstrom July 2, 2021 14:11:09 UTC 2021 年 7 月 2 日 (金) 23 時 11 分 9 秒 (日本時間) `87637791811927250111542225322134702996575595676457834151333815582046951216898499480746579815431661200478211669687319634870224970124658744168034333653774958255851751403489014596553<179>` ```386192668235818904867935523131996616373406417<45> 226927642651189384924512673646178997875662032357854350953030909783471096279518674782267734673684083081944821050222383149646979691116409<135>``` ```# # N = 8x10^206-9 = 79(205)1 # n: 87637791811927250111542225322134702996575595676457834151333815582046951216898499480746579815431661200478211669687319634870224970124658744168034333653774958255851751403489014596553 m: 100000000000000000000000000000000000000000 deg: 5 c5: 80 c0: -9 skew: 0.65 # Murphy_E = 1.052e-11 type: snfs lss: 1 rlim: 19700000 alim: 19700000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 87637791811927250111542225322134702996575595676457834151333815582046951216898499480746579815431661200478211669687319634870224970124658744168034333653774958255851751403489014596553 (179 digits) Using B1=35720000, B2=192388936756, polynomial Dickson(12), sigma=1:579575206 Step 1 took 95695ms Step 2 took 32393ms ********** Factor found in step 2: 386192668235818904867935523131996616373406417 Found prime factor of 45 digits: 386192668235818904867935523131996616373406417 Prime cofactor 226927642651189384924512673646178997875662032357854350953030909783471096279518674782267734673684083081944821050222383149646979691116409 has 135 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 10, 2012 12:17:13 UTC 2012 年 2 月 10 日 (金) 21 時 17 分 13 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:33 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 33 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:33 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 33 秒 (日本時間)

## 8×10207-9

### c165

name 名前 Dmitry Domanov February 8, 2012 06:36:19 UTC 2012 年 2 月 8 日 (水) 15 時 36 分 19 秒 (日本時間) `202138778977054854205927588121934624256927133158152619937906401610911165506139730369300046299338398852551702952177835257996109937665295418417961260207124279900782301<165>` `383563553224667129883891866576590009<36>` `527002050319037523666444574024323106422025791141442349766841193555378234729735407475245040937223364319266594273695802267124363589<129>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2460805740 Step 1 took 19762ms Step 2 took 8319ms ********** Factor found in step 2: 383563553224667129883891866576590009 Found probable prime factor of 36 digits: 383563553224667129883891866576590009```

### c129

name 名前 Warut Roonguthai February 14, 2012 11:47:51 UTC 2012 年 2 月 14 日 (火) 20 時 47 分 51 秒 (日本時間) `527002050319037523666444574024323106422025791141442349766841193555378234729735407475245040937223364319266594273695802267124363589<129>` ```2359994481905721143616232585850367032270519<43> 223306475654755621082958334503634416321951702625374202668692208032859353866554246722531<87>``` ```N = 527002050319037523666444574024323106422025791141442349766841193555378234729735407475245040937223364319266594273695802267124363589 (129 digits) Divisors found: r1=2359994481905721143616232585850367032270519 (pp43) r2=223306475654755621082958334503634416321951702625374202668692208032859353866554246722531 (pp87) Version: Msieve v. 1.48 Total time: 37.93 hours. Factorization parameters were as follows: n: 527002050319037523666444574024323106422025791141442349766841193555378234729735407475245040937223364319266594273695802267124363589 Y0: -6176907252949637285834648 Y1: 39393336971647 c0: -66957741228393680159411494677 c1: 8179719054765980244314730 c2: -75251038191489792995 c3: -10685231978741834 c4: 32538568 c5: 58608 skew: 86608.5 type: gnfs Factor base limits: 6800000/6800000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 19427489 Relations: 2420946 relations Pruned matrix : 1348340 x 1348564 Polynomial selection time: 0.00 hours. Total sieving time: 34.67 hours. Total relation processing time: 0.12 hours. Matrix solve time: 2.40 hours. time per square root: 0.74 hours. Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,6800000,6800000,28,28,55,55,2.5,2.5,100000 total time: 37.93 hours. Intel64 Family 6 Model 42 Stepping 7, GenuineIntel Windows-7-6.1.7601-SP1 processors: 4, speed: 2.29GHz```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosFebruary 9, 2012 15:58:21 UTC 2012 年 2 月 10 日 (金) 0 時 58 分 21 秒 (日本時間)
403e61510 / 2126110Ignacio SantosFebruary 9, 2012 15:58:21 UTC 2012 年 2 月 10 日 (金) 0 時 58 分 21 秒 (日本時間)
400Lionel DebrouxFebruary 10, 2012 10:33:26 UTC 2012 年 2 月 10 日 (金) 19 時 33 分 26 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:17:22 UTC 2012 年 2 月 10 日 (金) 21 時 17 分 22 秒 (日本時間)
4511e632 / 4127Ignacio SantosFebruary 9, 2012 15:58:21 UTC 2012 年 2 月 10 日 (金) 0 時 58 分 21 秒 (日本時間)

## 8×10210-9

### c209

name 名前 Kenji Ibusuki March 4, 2012 01:13:55 UTC 2012 年 3 月 4 日 (日) 10 時 13 分 55 秒 (日本時間) `22284122562674094707520891364902506963788300835654596100278551532033426183844011142061281337047353760445682451253481894150417827298050139275766016713091922005571030640668523676880222841225626740947075208913649<209>` ```352585123213688238209088624642086390941252550482654312659488413481<66> 63202106656010406556759667715580889046487196378902614899075518260479266518560510682320966550634695977417478810669857055435308396255452706606729<143>``` ```Number: 79991_210 N=22284122562674094707520891364902506963788300835654596100278551532033426183844011142061281337047353760445682451253481894150417827298050139275766016713091922005571030640668523676880222841225626740947075208913649 ( 209 digits) SNFS difficulty: 211 digits. Divisors found: r1=352585123213688238209088624642086390941252550482654312659488413481 (pp66) r2=63202106656010406556759667715580889046487196378902614899075518260479266518560510682320966550634695977417478810669857055435308396255452706606729 (pp143) Version: GGNFS-0.77.1-VC8(UTE) Total time: 1248.62 hours. Scaled time: 5637.54 units (timescale=4.515). Factorization parameters were as follows: n: 22284122562674094707520891364902506963788300835654596100278551532033426183844011142061281337047353760445682451253481894150417827298050139275766016713091922005571030640668523676880222841225626740947075208913649 m: 2000000000000000000000000000000000000000000 deg: 5 c5: 1 c0: -36 skew: 2.048 type: snfs lss: 1 rlim: 23000000 alim: 23000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 relslim: 60000000 qintsize: 25000 Factor base limits: 23000000/23000000 Large primes per side: 3 Large prime bits: 29/29 Sieved special-q in [11500000, 29375001) Relations: rels:45655841, finalFF:3248454 Initial matrix: 2894786 x 3248454 with sparse part having weight 413795487. Pruned matrix : 2585734 x 2600271 with weight 361072116. Number of square root dependence: 2 Total sieving time: 1176.14 hours. Total relation processing time: 3.17 hours. Total matrix build processing time: 13.61 hours. Matrix pruned processing time: 1.13 hours. Matrix solve time: 54.01 hours. Total time of square root: 0.57 hours. Prototype def-par.txt line would be: snfs,211,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000 total time: 1248.62 hours. --------- CPU info (if available) ----------``` `GGNFS-0.77.1-VC8 with factLat.pl (decomposed + modified) snfs` ```Core i7 2600 - Windows7 64bit (7 processors used) and Core 2 Quad Q6600 - Windows Vista 32bit (4 processors used)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e623001300Serge BatalovFebruary 8, 2012 08:29:53 UTC 2012 年 2 月 8 日 (水) 17 時 29 分 53 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:17:57 UTC 2012 年 2 月 10 日 (金) 21 時 17 分 57 秒 (日本時間)
4511e610 / 3967Dmitry DomanovFebruary 10, 2012 12:17:57 UTC 2012 年 2 月 10 日 (金) 21 時 17 分 57 秒 (日本時間)

## 8×10211-9

### c182

composite cofactor 合成数の残り `18613090848619154380747271992252774832320724349757780448634635913376328957004719385849927304596388114074857107498755574435378571356359451432286829189704031242269523182345302462533131<182>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovFebruary 10, 2012 12:18:29 UTC 2012 年 2 月 10 日 (金) 21 時 18 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:34 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 34 秒 (日本時間)
4511e65300300Serge BatalovMay 27, 2014 00:35:59 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 59 秒 (日本時間)
5000cccJune 9, 2024 13:36:00 UTC 2024 年 6 月 9 日 (日) 22 時 36 分 0 秒 (日本時間)
5043e6144 / 6314CypFebruary 11, 2014 03:06:16 UTC 2014 年 2 月 11 日 (火) 12 時 6 分 16 秒 (日本時間)

## 8×10212-9

### c182

name 名前 Cyp February 14, 2014 12:25:41 UTC 2014 年 2 月 14 日 (金) 21 時 25 分 41 秒 (日本時間) `32657888475390946543419030002929433918402295464649948779890421193984435020811881566699279760734348234623382731512260409317774689682925053713835870209590009321174567784922016985240391<182>` `1851356479454681782943182282432079535581617393<46>` `17639978490263716344164174678712765181023555530192447685844828621960773488644313913112853750186218792841585564034213457413685577255490487<137>` ```Run 283 out of 295: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3731307205 Step 1 took 59245ms Step 2 took 18880ms ********** Factor found in step 2: 1851356479454681782943182282432079535581617393 Found probable prime factor of 46 digits: 1851356479454681782943182282432079535581617393 Composite cofactor 17639978490263716344164174678712765181023555530192447685844828621960773488644313913112853750186218792841585564034213457413685577255490487 has 137 digits``` `GMP-ECM 6.4.4` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### c137

name 名前 Erik Branger June 17, 2014 06:53:22 UTC 2014 年 6 月 17 日 (火) 15 時 53 分 22 秒 (日本時間) `17639978490263716344164174678712765181023555530192447685844828621960773488644313913112853750186218792841585564034213457413685577255490487<137>` ```31928351621138747939762429657064506409514168353797424553<56> 552486351302421971067972087000414597054715852617904914334871053835933092571523679<81>``` ```Number: 79991_212 N = 17639978490263716344164174678712765181023555530192447685844828621960773488644313913112853750186218792841585564034213457413685577255490487 (137 digits) Divisors found: r1=31928351621138747939762429657064506409514168353797424553 (pp56) r2=552486351302421971067972087000414597054715852617904914334871053835933092571523679 (pp81) Version: Msieve v. 1.51 (SVN Official Release) Total time: 115.38 hours. Factorization parameters were as follows: # Murphy_E = 3.675e-11, selected by Erik Branger # expecting poly E from 3.47e-011 to > 3.99e-011 n: 17639978490263716344164174678712765181023555530192447685844828621960773488644313913112853750186218792841585564034213457413685577255490487 Y0: -471623300404113936656528591 Y1: 120793490095399 c0: -30174711244956184648652056291536600 c1: 73912260936811016924020923410 c2: -7228509976454767191037 c3: -20036121554255860 c4: -67720044 c5: 756 skew: 2944863.86 type: gnfs # selected mechanically rlim: 14400000 alim: 14400000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.6 alambda: 2.6 Factor base limits: 14400000/14400000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 22356655 Relations: 3519944 relations Pruned matrix : 2105221 x 2105448 Polynomial selection time: 0.00 hours. Total sieving time: 111.72 hours. Total relation processing time: 0.14 hours. Matrix solve time: 3.21 hours. time per square root: 0.29 hours. Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,14400000,14400000,28,28,55,55,2.6,2.6,100000 total time: 115.38 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 3.50GHz``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovFebruary 10, 2012 12:18:37 UTC 2012 年 2 月 10 日 (金) 21 時 18 分 37 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:34 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 34 秒 (日本時間)
4511e62395 / 4188295CypFebruary 14, 2014 12:25:40 UTC 2014 年 2 月 14 日 (金) 21 時 25 分 40 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:10 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 10 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:00 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 0 秒 (日本時間)

## 8×10214-9

### c97

name 名前 Warut Roonguthai February 8, 2012 00:34:37 UTC 2012 年 2 月 8 日 (水) 9 時 34 分 37 秒 (日本時間) `4839392981229713220590793683953614138540887408599977734442782326461549846048697267423044368338321<97>` ```108949257441081492745795054103854289<36> 44418778933365391401581679676288297409967491417272068628919489<62>``` ```N = 4839392981229713220590793683953614138540887408599977734442782326461549846048697267423044368338321 (97 digits) Divisors found: r1=108949257441081492745795054103854289 (pp36) r2=44418778933365391401581679676288297409967491417272068628919489 (pp62) Version: Msieve v. 1.48 Total time: 1.00 hours. Factorization parameters were as follows: n: 4839392981229713220590793683953614138540887408599977734442782326461549846048697267423044368338321 Y0: -670119501432589953829801 Y1: 7307731140437 c0: -131235875236755248841901797240 c1: -23266406456036182739914 c2: -1281217436337283 c3: -148856362 c4: 24 skew: 12080524.39 type: gnfs Factor base limits: 1200000/1200000 Large primes per side: 3 Large prime bits: 25/25 Sieved algebraic special-q in [0, 0) Total raw relations: 1953242 Relations: 286754 relations Pruned matrix : 165053 x 165282 Polynomial selection time: 0.00 hours. Total sieving time: 0.94 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.05 hours. time per square root: 0.00 hours. Prototype def-par.txt line would be: gnfs,96,4,60,2000,0.0001,0.3,220,15,10000,600,1200000,1200000,25,25,45,45,2.4,2.4,60000 total time: 1.00 hours. Intel64 Family 6 Model 42 Stepping 7, GenuineIntel Windows-7-6.1.7601-SP1 processors: 4, speed: 2.29GHz```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)

## 8×10217-9

### c189

composite cofactor 合成数の残り `734191395993309381497216879725179244650425417587853108879355218409852620652981417516277294448912787522030981370791382184656473446407878294958954942864285825434910200422009007289212109220941<189>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 10, 2012 12:18:47 UTC 2012 年 2 月 10 日 (金) 21 時 18 分 47 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:35 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 35 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:33 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 33 秒 (日本時間)

## 8×10218-9

### c215

name 名前 Serge Batalov February 8, 2012 17:50:51 UTC 2012 年 2 月 9 日 (木) 2 時 50 分 51 秒 (日本時間) `34939074987989692972878543040573000829803030964755208105865397213608769707821985412936192514303183823208280560772153557234572214700615801196663318338646984321090099139625278420753810542865877625889854566100362492903<215>` `901528497316355772074058337256364994351<39>` `38755375001450682254223798212068053215483665159078468414274443367786446498570865243468800013903244046131828508492952328148033395903633139762824043657630852092855149893503537353<176>` ```Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2798145354 Step 1 took 13009ms Step 2 took 7780ms ********** Factor found in step 2: 901528497316355772074058337256364994351 Found probable prime factor of 39 digits: 901528497316355772074058337256364994351 Composite cofactor 387553750014... has 176 digits```

### c176

name 名前 Dmitry Domanov February 10, 2012 06:36:16 UTC 2012 年 2 月 10 日 (金) 15 時 36 分 16 秒 (日本時間) `38755375001450682254223798212068053215483665159078468414274443367786446498570865243468800013903244046131828508492952328148033395903633139762824043657630852092855149893503537353<176>` `35594522000963558448843039644723038426729<41>` `1088801670110967024809996433291582199914559685949246533311667052322671103724367586852955696553227428824772816855213719095302915487292257<136>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2436595440 Step 1 took 31046ms Step 2 took 10961ms ********** Factor found in step 2: 35594522000963558448843039644723038426729 Found probable prime factor of 41 digits: 35594522000963558448843039644723038426729```

### c136

name 名前 Dmitry Domanov February 28, 2012 08:33:03 UTC 2012 年 2 月 28 日 (火) 17 時 33 分 3 秒 (日本時間) `1088801670110967024809996433291582199914559685949246533311667052322671103724367586852955696553227428824772816855213719095302915487292257<136>` ```7403565714962559282672850667451919621111<40> 147064497301686100463326295785520523913687470636240970765830801402569209267305122035506041699687<96>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3431402457 Step 1 took 80570ms Step 2 took 17699ms ********** Factor found in step 2: 7403565714962559282672850667451919621111 Found probable prime factor of 40 digits: 7403565714962559282672850667451919621111```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61400400Lionel DebrouxFebruary 8, 2012 10:45:21 UTC 2012 年 2 月 8 日 (水) 19 時 45 分 21 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 06:35:57 UTC 2012 年 2 月 10 日 (金) 15 時 35 分 57 秒 (日本時間)
4511e6400 / 4166Dmitry DomanovFebruary 28, 2012 07:22:43 UTC 2012 年 2 月 28 日 (火) 16 時 22 分 43 秒 (日本時間)

## 8×10219-9

### c189

name 名前 Erik Branger October 24, 2020 09:38:36 UTC 2020 年 10 月 24 日 (土) 18 時 38 分 36 秒 (日本時間) `151611914687635167550066182144371296288992678919781849346958585430303232068246349937793833719798598955519768833450463963233705183006536738749648722658629923481835403768141597017160113951551<189>` ```115495700551356678906352082932952954928997212603363889741<57> 1312706135067070657517923675315249013278419943547973095414464676878286675575323140969186339154394814536261364165533108361769969748411<133>``` ```Number: 79991_219 N = 151611914687635167550066182144371296288992678919781849346958585430303232068246349937793833719798598955519768833450463963233705183006536738749648722658629923481835403768141597017160113951551 (189 digits) SNFS difficulty: 221 digits. Divisors found: r1=115495700551356678906352082932952954928997212603363889741 (pp57) r2=1312706135067070657517923675315249013278419943547973095414464676878286675575323140969186339154394814536261364165533108361769969748411 (pp133) Version: Msieve v. 1.52 (SVN unknown) Total time: 63.61 hours. Factorization parameters were as follows: n: 151611914687635167550066182144371296288992678919781849346958585430303232068246349937793833719798598955519768833450463963233705183006536738749648722658629923481835403768141597017160113951551 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 4 c0: -45 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 44739242 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Relations: 7371244 relations Pruned matrix : 6444411 x 6444636 Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G relations. Total batch smoothness checking time: 33.10 hours. Total relation processing time: 0.36 hours. Matrix solve time: 29.97 hours. time per square root: 0.18 hours. Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000 total time: 63.61 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.18362-SP0 processors: 8, speed: 3.50GHz``` `GGNFS, NFS_factory, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 10, 2012 12:18:56 UTC 2012 年 2 月 10 日 (金) 21 時 18 分 56 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:36 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 36 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:34 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 34 秒 (日本時間)

## 8×10221-9

### c201

name 名前 Warut Roonguthai February 7, 2012 18:34:35 UTC 2012 年 2 月 8 日 (水) 3 時 34 分 35 秒 (日本時間) `969516754047234795644928070347800728162075659419925373382041609861219682144493805129290909588788408054353933498071656349066984579422117590034519877232004750744317754920136256313472165215075732795830751<201>` `6377253754843809216010092323801<31>` `152027313216263896477811644021367687518556641276753454397573777124752499389233502731666854072626344217975318003128625312839581053484872377216654451788936806379330111096951<171>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2972292649 Step 1 took 9953ms ********** Factor found in step 1: 6377253754843809216010092323801 Found probable prime factor of 31 digits: 6377253754843809216010092323801 Composite cofactor 152027313216263896477811644021367687518556641276753454397573777124752499389233502731666854072626344217975318003128625312839581053484872377216654451788936806379330111096951 has 171 digits``` `GMP-ECM 6.3`

### c171

name 名前 Erik Branger May 29, 2022 19:14:38 UTC 2022 年 5 月 30 日 (月) 4 時 14 分 38 秒 (日本時間) `152027313216263896477811644021367687518556641276753454397573777124752499389233502731666854072626344217975318003128625312839581053484872377216654451788936806379330111096951<171>` ```130173340908550614704000947921052474318900615839<48> 1167883624674472602278491373600486628733422659243002471321192444782864372225075628989002158092629910419913388407187266509609<124>``` ```Number: 79991_221 N = 152027313216263896477811644021367687518556641276753454397573777124752499389233502731666854072626344217975318003128625312839581053484872377216654451788936806379330111096951 (171 digits) SNFS difficulty: 222 digits. Divisors found: r1=130173340908550614704000947921052474318900615839 (pp48) r2=1167883624674472602278491373600486628733422659243002471321192444782864372225075628989002158092629910419913388407187266509609 (pp124) Version: Msieve v. 1.52 (SVN unknown) Total time: 45.74 hours. Factorization parameters were as follows: n: 152027313216263896477811644021367687518556641276753454397573777124752499389233502731666854072626344217975318003128625312839581053484872377216654451788936806379330111096951 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 80 c0: -9 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 60000000 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/60000000 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 31332637 Relations: 7564276 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 20.21 hours. Total relation processing time: 0.42 hours. Pruned matrix : 6573049 x 6573274 Matrix solve time: 24.93 hours. time per square root: 0.19 hours. Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000 total time: 45.74 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.22000-SP0 processors: 12, speed: 3.19GHz``` `GGNFS, NFS_factory, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 10, 2012 12:19:06 UTC 2012 年 2 月 10 日 (金) 21 時 19 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:44 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 44 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:34 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 34 秒 (日本時間)

## 8×10222-9

### c183

name 名前 Erik Branger March 30, 2022 19:43:12 UTC 2022 年 3 月 31 日 (木) 4 時 43 分 12 秒 (日本時間) `179836756303062185404946640083916108828101636370242388366661066365157259702408772974208063934708906852468204182366603772405008514663552846493778272244404936392633441732858287688940777<183>` ```6692114916546796817300415972679146771885465800000866438892057407<64> 26872933078061947483499444488877311888017639204426039167694477553415794303787373181408940676920445755783195959753149911<119>``` ```Number: 79991_222 N = 179836756303062185404946640083916108828101636370242388366661066365157259702408772974208063934708906852468204182366603772405008514663552846493778272244404936392633441732858287688940777 (183 digits) SNFS difficulty: 223 digits. Divisors found: r1=6692114916546796817300415972679146771885465800000866438892057407 (pp64) r2=26872933078061947483499444488877311888017639204426039167694477553415794303787373181408940676920445755783195959753149911 (pp119) Version: Msieve v. 1.52 (SVN unknown) Total time: 53.93 hours. Factorization parameters were as follows: n: 179836756303062185404946640083916108828101636370242388366661066365157259702408772974208063934708906852468204182366603772405008514663552846493778272244404936392633441732858287688940777 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 800 c0: -9 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 60000000 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/60000000 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 34619719 Relations: 8467614 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 27.32 hours. Total relation processing time: 0.39 hours. Pruned matrix : 7348953 x 7349178 Matrix solve time: 25.75 hours. time per square root: 0.47 hours. Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000 total time: 53.93 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.22000-SP0 processors: 12, speed: 3.19GHz``` `GGNFS, NFS_factory, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovFebruary 10, 2012 12:19:14 UTC 2012 年 2 月 10 日 (金) 21 時 19 分 14 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:45 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 45 秒 (日本時間)
4511e6300 / 3682Serge BatalovMay 27, 2014 00:36:00 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 0 秒 (日本時間)
5043e6144 / 7436CypFebruary 6, 2014 05:31:30 UTC 2014 年 2 月 6 日 (木) 14 時 31 分 30 秒 (日本時間)

## 8×10223-9

### c204

composite cofactor 合成数の残り `123718326818921983698997674215499215221431040281039247186093180170142898244187288715754502343620260298708158057661745158675726245270689728702571753657637140775022760971244216967967144580820715570949800219<204>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 10, 2012 12:19:22 UTC 2012 年 2 月 10 日 (金) 21 時 19 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:46 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 46 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:35 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 35 秒 (日本時間)

## 8×10226-9

### c184

composite cofactor 合成数の残り `8772993644271341727972676483705398147165081262589997769724266257247856928734461397250428940881199588856832560066133641078964251044364291898018852344673395667384595436437539681797350143<184>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 10, 2012 12:19:32 UTC 2012 年 2 月 10 日 (金) 21 時 19 分 32 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:47 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 47 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:35 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 35 秒 (日本時間)

## 8×10228-9

### c202

composite cofactor 合成数の残り `1767771140477338183069259974923011841261647771746466429215109924708677504748493534139888055538324611074999001795781404348735517144952584936558090210236861853812992933547919779550521354022916535678410423<202>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 10, 2012 12:19:40 UTC 2012 年 2 月 10 日 (金) 21 時 19 分 40 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:48 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 48 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:35 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 35 秒 (日本時間)

## 8×10229-9

### c208

name 名前 Serge Batalov May 26, 2014 22:56:51 UTC 2014 年 5 月 27 日 (火) 7 時 56 分 51 秒 (日本時間) `1572773834214976304481725722260518154333408879910307796766159214329669316878025954271426895455882635410991897441749659018905313104906912093796877967579991956931662142775726199089514855585948022409090405794439<208>` `5748854973854004570911695555422280559069<40>` `273580363632063644237674800354809013169225887004252328477631732172085995981949538957645870072542082707750073440439786164959496645103118598132072854810452152931841335731<168>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3491332925 Step 1 took 18418ms Step 2 took 7384ms ********** Factor found in step 2: 5748854973854004570911695555422280559069 Found probable prime factor of 40 digits: 5748854973854004570911695555422280559069 Composite cofactor```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 10, 2012 12:19:48 UTC 2012 年 2 月 10 日 (金) 21 時 19 分 48 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:49 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 49 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:36 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 36 秒 (日本時間)

## 8×10232-9

### c168

composite cofactor 合成数の残り `648603552754392107855201313994300282462211794002566243794942684228417721777466170243335756933488946299245721251109289864102384367351830331949073683987140515295023702993<168>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovFebruary 10, 2012 12:19:58 UTC 2012 年 2 月 10 日 (金) 21 時 19 分 58 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:50 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 50 秒 (日本時間)
4511e6595 / 4188295CypMarch 7, 2014 02:16:39 UTC 2014 年 3 月 7 日 (金) 11 時 16 分 39 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:00 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 0 秒 (日本時間)

## 8×10234-9

### c228

name 名前 Bob Backstrom January 2, 2021 23:52:34 UTC 2021 年 1 月 3 日 (日) 8 時 52 分 34 秒 (日本時間) `118580062449300538455758823686966303563151524257026613531138316572510885538564037243210983857740566300136187719472241052159708312019184712563484986215141852807843217354571595654971564723362274823316818638627659893467375445392273<228>` ```7713224929846403971411005886131934401119342690917588617662170787451860773633355497<82> 15373603587061717246178249033450488474878492861593512432141678507916989630811431901735698009740650518328168897267414922180461269426267768436002409<146>``` ```Number: n N=118580062449300538455758823686966303563151524257026613531138316572510885538564037243210983857740566300136187719472241052159708312019184712563484986215141852807843217354571595654971564723362274823316818 638627659893467375445392273 ( 228 digits) SNFS difficulty: 234 digits. Divisors found: Sun Jan 3 10:44:09 2021 p82 factor: 7713224929846403971411005886131934401119342690917588617662170787451860773633355497 Sun Jan 3 10:44:09 2021 p146 factor: 15373603587061717246178249033450488474878492861593512432141678507916989630811431901735698009740650518328168897267414922180461269426267768436002409 Sun Jan 3 10:44:09 2021 elapsed time 28:50:23 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.349). Factorization parameters were as follows: # # N = 8x10^234-9 = 79(233)1 # n: 11858006244930053845575882368696630356315152425702661353113831657251088553856403724321098385774056630013618771947224105215970831201918471256348498621514185280784321735457159565497156472336227482331681 8638627659893467375445392273 m: 1000000000000000000000000000000000000000 deg: 6 c6: 8 c0: -9 skew: 1.02 # Murphy_E = 8.064e-13 type: snfs lss: 1 rlim: 58000000 alim: 58000000 lpbr: 30 lpba: 30 mfbr: 60 mfba: 60 rlambda: 2.7 alambda: 2.7 Factor base limits: 58000000/58000000 Large primes per side: 3 Large prime bits: 30/30 Max factor residue bits: 60/60 Sieved special-q in [100000, 171400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 26452029 hash collisions in 131701631 relations (107248731 unique) Msieve: matrix is 7640905 x 7641130 (2665.0 MB) Sieving start time: 2020/12/29 03:54:22 Sieving end time : 2021/01/02 05:50:53 Total sieving time: 97hrs 56min 31secs. Total relation processing time: 27hrs 49min 27sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 14min 51sec. Prototype def-par.txt line would be: snfs,234,6,0,0,0,0,0,0,0,0,58000000,58000000,30,30,60,60,2.7,2.7,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119450] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16242000K/16727236K available (14339K kernel code, 2426K rwdata, 4932K rodata, 2720K init, 4956K bss, 485236K reserved, 0K cma-reserved) [ 0.153516] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798560) [ 0.152037] smpboot: Total of 16 processors activated (102388.48 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61400400Lionel DebrouxFebruary 9, 2012 07:01:19 UTC 2012 年 2 月 9 日 (木) 16 時 1 分 19 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:20:05 UTC 2012 年 2 月 10 日 (金) 21 時 20 分 5 秒 (日本時間)
4511e6900 / 4166600Dmitry DomanovMay 13, 2012 16:33:21 UTC 2012 年 5 月 14 日 (月) 1 時 33 分 21 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:01 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 1 秒 (日本時間)

## 8×10235-9

### c182

name 名前 Warut Roonguthai February 7, 2012 20:33:57 UTC 2012 年 2 月 8 日 (水) 5 時 33 分 57 秒 (日本時間) `26352938654972520103046561074723876348946686569470384727989438373292793788693333277564231624302190784642454883576684196012893833967804233840071184147783457029144852981200012993601171<182>` ```14583331384644655834766246191<29> 1807058892093786699381504846069706577618906976995238561396323867816796794003754607130458592182312439364937154992266129236062191022071491811436709821986781<154>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1805905473 Step 1 took 9110ms Step 2 took 5320ms ********** Factor found in step 2: 14583331384644655834766246191 Found probable prime factor of 29 digits: 14583331384644655834766246191 Probable prime cofactor 1807058892093786699381504846069706577618906976995238561396323867816796794003754607130458592182312439364937154992266129236062191022071491811436709821986781 has 154 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)

## 8×10236-9

### c229

name 名前 Dmitry Domanov May 14, 2012 07:34:18 UTC 2012 年 5 月 14 日 (月) 16 時 34 分 18 秒 (日本時間) `1185529482266575109607868948381955945490296901321278387442324009211629281332813263284170161719958704036608889595905740738166879394866155566432360447482785922973728093173085649115380351297252076476746389735594456765858174731630839<229>` `440887850221447107185182731517512171773959<42>` `2688959293550758662803569792022591608403827595158597311087987901215976507023612733452358425694282459361151017241557827798561799687428462958410688972618333472524697448336433125490091410321<187>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2655642556 Step 1 took 121544ms Step 2 took 37574ms ********** Factor found in step 2: 440887850221447107185182731517512171773959 Found probable prime factor of 42 digits: 440887850221447107185182731517512171773959```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61400400Lionel DebrouxFebruary 9, 2012 09:52:44 UTC 2012 年 2 月 9 日 (木) 18 時 52 分 44 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:20:13 UTC 2012 年 2 月 10 日 (金) 21 時 20 分 13 秒 (日本時間)
4511e6900 / 4166600Dmitry DomanovMay 13, 2012 16:32:30 UTC 2012 年 5 月 14 日 (月) 1 時 32 分 30 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:02 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 2 秒 (日本時間)

## 8×10239-9

### c230

composite cofactor 合成数の残り `57630981175722401310804391442815588942766682031463250782783373502358937381991097452598028299725147455584750297220637420867105958470090141851680331833046147216254739631954179604356990669256208860844024733219918967409982779818881071<230>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61400400Lionel DebrouxFebruary 9, 2012 16:11:20 UTC 2012 年 2 月 10 日 (金) 1 時 11 分 20 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:20:24 UTC 2012 年 2 月 10 日 (金) 21 時 20 分 24 秒 (日本時間)
4511e6900 / 4166600Dmitry DomanovMay 13, 2012 16:31:30 UTC 2012 年 5 月 14 日 (月) 1 時 31 分 30 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:02 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 2 秒 (日本時間)

## 8×10243-9

### c191

name 名前 Warut Roonguthai February 7, 2012 21:25:49 UTC 2012 年 2 月 8 日 (水) 6 時 25 分 49 秒 (日本時間) `21029707208115756906795435646078106004330178348710824423351278378293815124107779558095134519602266035226766342703520443836611870531433871055160828802680435029947199020046446328028783765305511<191>` `271559403294699179670218434082719<33>` `77440541380532099964643908223547652135647118368266604354825028597548440104155320264822440498466721043420792895390909338561476691035397536718340644692941554169<158>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2391588249 Step 1 took 9017ms Step 2 took 5600ms ********** Factor found in step 2: 271559403294699179670218434082719 Found probable prime factor of 33 digits: 271559403294699179670218434082719 Composite cofactor 77440541380532099964643908223547652135647118368266604354825028597548440104155320264822440498466721043420792895390909338561476691035397536718340644692941554169 has 158 digits``` `GMP-ECM 6.3`

### c158

name 名前 yoyo@Home July 27, 2021 13:45:18 UTC 2021 年 7 月 27 日 (火) 22 時 45 分 18 秒 (日本時間) `77440541380532099964643908223547652135647118368266604354825028597548440104155320264822440498466721043420792895390909338561476691035397536718340644692941554169<158>` ```794002568764327001311531756415850433380330991<45> 97531852448600483179100152442216050067579578364759633890074881289331822004770006000224148797635060789154526852759<113>``` ```GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM] Input number is 77440541380532099964643908223547652135647118368266604354825028597548440104155320264822440498466721043420792895390909338561476691035397536718340644692941554169 (158 digits) [Tue Jul 27 08:08:02 2021] Using MODMULN [mulredc:0, sqrredc:0] Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:581579378254481244 dF=65536, k=5, d=690690, d2=17, i0=46 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 55 246 1286 7557 49831 361851 2844041 2.4e+07 2.2e+08 2.2e+09 Writing checkpoint to checkpnt at p = 43000000 Step 1 took 166906ms Using 20 small primes for NTT Estimated memory usage: 231.70MB Initializing tables of differences for F took 31ms Computing roots of F took 2797ms Building F from its roots took 2953ms Computing 1/F took 1204ms Initializing table of differences for G took 47ms Computing roots of G took 2250ms Building G from its roots took 2797ms Computing roots of G took 2235ms Building G from its roots took 3031ms Computing G * H took 719ms Reducing G * H mod F took 703ms Computing roots of G took 2250ms Building G from its roots took 2985ms Computing G * H took 672ms Reducing G * H mod F took 656ms Computing roots of G took 2157ms Building G from its roots took 2797ms Computing G * H took 641ms Reducing G * H mod F took 656ms Computing roots of G took 2141ms Building G from its roots took 2968ms Computing G * H took 672ms Reducing G * H mod F took 703ms Computing polyeval(F,G) took 5093ms Computing product of all F(g_i) took 32ms Step 2 took 43672ms ********** Factor found in step 2: 794002568764327001311531756415850433380330991 Found prime factor of 45 digits: 794002568764327001311531756415850433380330991 Prime cofactor 97531852448600483179100152442216050067579578364759633890074881289331822004770006000224148797635060789154526852759 has 113 digits Peak memory usage: 323MB``` `GMP-ECM 7.0.5-dev`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosFebruary 9, 2012 17:48:12 UTC 2012 年 2 月 10 日 (金) 2 時 48 分 12 秒 (日本時間)
403e61110110Ignacio SantosFebruary 9, 2012 17:48:12 UTC 2012 年 2 月 10 日 (金) 2 時 48 分 12 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:20:33 UTC 2012 年 2 月 10 日 (金) 21 時 20 分 33 秒 (日本時間)
4511e6425032Ignacio SantosFebruary 9, 2012 17:48:12 UTC 2012 年 2 月 10 日 (金) 2 時 48 分 12 秒 (日本時間)
400Dmitry DomanovMarch 9, 2012 16:10:30 UTC 2012 年 3 月 10 日 (土) 1 時 10 分 30 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:32 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 32 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:21 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 21 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:11 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 11 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:03 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 3 秒 (日本時間)
1368Ignacio SantosJanuary 16, 2016 03:02:17 UTC 2016 年 1 月 16 日 (土) 12 時 2 分 17 秒 (日本時間)

## 8×10244-9

### c190

composite cofactor 合成数の残り `2428853577019143317742668732352135856193568495188566337240658521054003621588586276356525012060377364041593830091517639539403776405198621158259196356980845414385414230103991839500223197844257<190>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 10, 2012 12:20:41 UTC 2012 年 2 月 10 日 (金) 21 時 20 分 41 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:51 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 51 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:36 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 36 秒 (日本時間)

## 8×10245-9

### c241

name 名前 Dmitry Domanov March 10, 2012 08:00:04 UTC 2012 年 3 月 10 日 (土) 17 時 0 分 4 秒 (日本時間) `6664944889236947121993485016370770884188251368396497571460705984287392423623897159900359073905907640526197399005256975281385642042472361306662445534903483266822737459489631845106680774133348884871408219543284651465038198465396439253192925161<241>` `26234467408092023483878578044093422379955221<44>` `254052990120208972101761884523720999588342322295526614696921697856658355347523277089578810438611748037727855407054329101947615900136134098294436271648047544076998963090108708646874865172433277259141<198>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=295852664 Step 1 took 409021ms Step 2 took 181866ms ********** Factor found in step 2: 26234467408092023483878578044093422379955221 Found probable prime factor of 44 digits: 26234467408092023483878578044093422379955221```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61400400Lionel DebrouxFebruary 9, 2012 17:40:50 UTC 2012 年 2 月 10 日 (金) 2 時 40 分 50 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:20:49 UTC 2012 年 2 月 10 日 (金) 21 時 20 分 49 秒 (日本時間)
4511e6700 / 4166400Dmitry DomanovMarch 9, 2012 22:05:55 UTC 2012 年 3 月 10 日 (土) 7 時 5 分 55 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:03 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 3 秒 (日本時間)

## 8×10247-9

### c200

name 名前 Dmitry Domanov February 8, 2012 06:33:45 UTC 2012 年 2 月 8 日 (水) 15 時 33 分 45 秒 (日本時間) `22722567949097586751798907461247727910229880974309500480416705873129070159395418431238892509562802930218203845450389103005431043422655274813229929205301653727133893745597211490155136319955019609961911<200>` `3289354456996380061493927389528425569<37>` `6907911034266074829693664448291777900488674949890473738502974168097412771201004057373822750743309555552070130728113585432038424473092582387418775485488290995056919<163>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3662303517 Step 1 took 27117ms Step 2 took 9904ms ********** Factor found in step 2: 3289354456996380061493927389528425569 Found probable prime factor of 37 digits: 3289354456996380061493927389528425569```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosFebruary 9, 2012 18:57:11 UTC 2012 年 2 月 10 日 (金) 3 時 57 分 11 秒 (日本時間)
403e61110110Ignacio SantosFebruary 9, 2012 18:57:11 UTC 2012 年 2 月 10 日 (金) 3 時 57 分 11 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:21:04 UTC 2012 年 2 月 10 日 (金) 21 時 21 分 4 秒 (日本時間)
4511e6443232Ignacio SantosFebruary 9, 2012 18:57:11 UTC 2012 年 2 月 10 日 (金) 3 時 57 分 11 秒 (日本時間)
400Dmitry DomanovMarch 9, 2012 16:10:08 UTC 2012 年 3 月 10 日 (土) 1 時 10 分 8 秒 (日本時間)
4000Wataru SakaiApril 3, 2012 01:19:29 UTC 2012 年 4 月 3 日 (火) 10 時 19 分 29 秒 (日本時間)

## 8×10248-9

### c247

name 名前 Lionel Debroux February 10, 2012 08:34:40 UTC 2012 年 2 月 10 日 (金) 17 時 34 分 40 秒 (日本時間) `6722689075630252100840336134453781512605042016806722689075630252100840336134453781512605042016806722689075630252100840336134453781512605042016806722689075630252100840336134453781512605042016806722689075630252100840336134453781512605042016806722689<247>` ```24012575406493670317851540947007249176239<41> 279965349897964273260793367265069054397992529434839860924127865483005125350966554138174669635748250394873452193938689380241881710323277247788220624473980379054466247947188461097513390330222777489472917785551<207>``` ```********** Factor found in step 2: 24012575406493670317851540947007249176239 Found probable prime factor of 41 digits: 24012575406493670317851540947007249176239 Probable prime cofactor 279965349897964273260793367265069054397992529434839860924127865483005125350966554138174669635748250394873452193938689380241881710323277247788220624473980379054466247947188461097513390330222777489472917785551 has 207 digits``` `GMP-ECM 6.5-dev (SVN r1712).` `Core i7-2670QM, Debian unstable x86_64`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)

## 8×10249-9

### c242

name 名前 Dmitry Domanov February 8, 2012 13:30:07 UTC 2012 年 2 月 8 日 (水) 22 時 30 分 7 秒 (日本時間) `11713435469053637184163849315783313573084935917134272989323975192519133614984158142237186903914707881685651390464368328884616907868826934768424011769039147225234799877075108485336962616370107932909383204296102758021942254487940938386830147591<242>` `228344099195616997070047101106338562309649<42>` `51297298727299336293881648150004905644311300687742289293561335557566319655350185006076066818271650154565995576490636033757607057752591653355652277748226402916966331698202791107563594992412475326276759<200>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=762661468 Step 1 took 41307ms Step 2 took 12384ms ********** Factor found in step 2: 228344099195616997070047101106338562309649 Found probable prime factor of 42 digits: 228344099195616997070047101106338562309649```

### c200

name 名前 Dmitry Domanov February 8, 2012 16:48:53 UTC 2012 年 2 月 9 日 (木) 1 時 48 分 53 秒 (日本時間) `51297298727299336293881648150004905644311300687742289293561335557566319655350185006076066818271650154565995576490636033757607057752591653355652277748226402916966331698202791107563594992412475326276759<200>` ```2458169232233878471960429665052435189<37> 20868090794823982690731484557044344475803309155709141084654258831633234104523317900122016313878697697890790361570063183473784399973979227645471029508076711855303131<164>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2710449089 Step 1 took 38375ms Step 2 took 12641ms ********** Factor found in step 2: 2458169232233878471960429665052435189 Found probable prime factor of 37 digits: 2458169232233878471960429665052435189```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)

## 8×10250-9

### c201

name 名前 Dmitry Domanov February 8, 2012 06:33:10 UTC 2012 年 2 月 8 日 (水) 15 時 33 分 10 秒 (日本時間) `462957172197471779418194349165822271426655330533968841719818240781767084852410383778582187812460553997849086926627484102693636499847693003586077868106281065201009285767073248985715243272730317179945481<201>` `3189958354459564644304445748083579858411050653119<49>` `145129534857487163405564510505225401666554618120264589295941012986763713523687920179573011749752475101956040265140788219615512875040547683780718443129399<153>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1446469063 Step 1 took 27046ms Step 2 took 9914ms ********** Factor found in step 2: 3189958354459564644304445748083579858411050653119 Found probable prime factor of 49 digits: 3189958354459564644304445748083579858411050653119```

### c153

name 名前 Ignacio Santos December 5, 2021 14:36:12 UTC 2021 年 12 月 5 日 (日) 23 時 36 分 12 秒 (日本時間) `145129534857487163405564510505225401666554618120264589295941012986763713523687920179573011749752475101956040265140788219615512875040547683780718443129399<153>` ```10530438171087361390017765560360491998189872046740708203327507713713<68> 13781908454290012537209563016988904680157437639760260380085888298486889918559169778023<86>``` ```Number: 1 N=145129534857487163405564510505225401666554618120264589295941012986763713523687920179573011749752475101956040265140788219615512875040547683780718443129399 ( 153 digits) Divisors found: r1=10530438171087361390017765560360491998189872046740708203327507713713 (pp68) r2=13781908454290012537209563016988904680157437639760260380085888298486889918559169778023 (pp86) Version: Msieve v. 1.52 (SVN 927) Total time: 1286.44 hours. Scaled time: 10011.08 units (timescale=7.782). Factorization parameters were as follows: # Murphy_E = 3.96e-12, selected by Maksym Voznyy # found by CADO-NFS for c5 <= 88k; lognorm 47.44, E 40.38, alpha -7.06 (proj -2.22), 3 real roots n: 145129534857487163405564510505225401666554618120264589295941012986763713523687920179573011749752475101956040265140788219615512875040547683780718443129399 Y0: -335191760238472541838590651919 Y1: 8355557169930569949703 c0: -3808260459811638658728466746140257440 c1: -324162547647718719697299477344 c2: 6425403766295561847562690 c3: -597161064367557113 c4: 152862989682 c5: 99360 skew: 2132833.664 type: gnfs # selected mechanically rlim: 39000000 alim: 39000000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.6 alambda: 2.6Factor base limits: 39000000/39000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 58/58 Sieved algebraic special-q in [19500000, 39800001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 5139555 x 5139782 Total sieving time: 1278.82 hours. Total relation processing time: 0.16 hours. Matrix solve time: 6.63 hours. Time per square root: 0.83 hours. Prototype def-par.txt line would be: gnfs,152,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,39000000,39000000,29,29,58,58,2.6,2.6,100000 total time: 1286.44 hours.``` `GNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosFebruary 9, 2012 17:10:49 UTC 2012 年 2 月 10 日 (金) 2 時 10 分 49 秒 (日本時間)
403e61110110Ignacio SantosFebruary 9, 2012 17:10:49 UTC 2012 年 2 月 10 日 (金) 2 時 10 分 49 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:21:18 UTC 2012 年 2 月 10 日 (金) 21 時 21 分 18 秒 (日本時間)
4511e643232Ignacio SantosFebruary 9, 2012 17:10:49 UTC 2012 年 2 月 10 日 (金) 2 時 10 分 49 秒 (日本時間)
400Dmitry DomanovFebruary 20, 2012 07:17:33 UTC 2012 年 2 月 20 日 (月) 16 時 17 分 33 秒 (日本時間)
5043e61000Dmitry DomanovFebruary 21, 2012 06:43:46 UTC 2012 年 2 月 21 日 (火) 15 時 43 分 46 秒 (日本時間)
5511e73040 / 1737640Dmitry DomanovFebruary 27, 2012 06:47:57 UTC 2012 年 2 月 27 日 (月) 15 時 47 分 57 秒 (日本時間)
3000yoyo@HomeApril 28, 2021 23:21:45 UTC 2021 年 4 月 29 日 (木) 8 時 21 分 45 秒 (日本時間)

## 8×10251-9

### c221

composite cofactor 合成数の残り `14164991661603392320853022001129112301820209188156333072655238468741275814059740801231405415531430010103114126950322369277269773978411187241588355374416753502387348074807627568080249081112465189002348869819690674273591799<221>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10252-9

### c186

composite cofactor 合成数の残り `184274714542044997067394800456358890982671191497995485887871335666554527513657859650080059887966423307523344715764064997989198869415887505015264214222270132134278672195580814925286249983<186>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10253-9

### c242

composite cofactor 合成数の残り `16860290580580218498585290134575589300234348381010887126589498261382084515006658075879561172069384910479158780085847421634538616797587705214988768404768231059848861137773782211320150210328809068852061445416741098203903205166075651168255754901<242>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10255-9

### c225

composite cofactor 合成数の残り `133495863059218718054000679150447614759168461424500417281931057792497890332217079261558100337735938732268067248096398677813950301446345333981763119279508083093059273954085376183450709635769379717800054829256377537500194459011<225>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10258-9

### c208

composite cofactor 合成数の残り `2685206209701007817897074902556755052028815720187702973912585631765614917626167784320906759734910100580284140843388122874602558381830350917100116580484074881841657535457343094664264479411631114433700272444759<208>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10259-9

### c242

composite cofactor 合成数の残り `50587196702178537409337147742214566227419445698294128794150769051905865523674413827279781985462304228265629782326852750879420632833399876403282088412909298108807171524217966938888612631190672945613825410709550645862227147654818927637897281449<242>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10260-9

### c243

composite cofactor 合成数の残り `836237171614029084333609927209735179050013346252585338409513702711727820659541170354579111429397253093267517406930534636857426367755635755081734059141698613726260215286513617416280605391112881308122320598037084735900701509564259212553814335433<243>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10265-9

### c251

composite cofactor 合成数の残り `17610892350354452928141843099233279337271935695378562837466125077292298071247655600705086924603826653683952179373328062420123874114061445842227823448611028960417849181714128231498889893267024158238604967793766474901943466994576039377820856696840880659<251>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10266-9

### c253

composite cofactor 合成数の残り `8518616644716908274193163069306442726479345867699088985799560942457815803544043596734574048360085347630313613197684428431892079622555363732420777177527152864907768083472119322294477716810942387625200224730521764783689985995834898906781308002357608442471<253>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10267-9

### c255

composite cofactor 合成数の残り `183582186359516678387668602757828539777496840398914992241469084066635539714643016176418470609576227277969923723114954222969560741298514445609035350142551913562087749455736022290103382912121668516883184748934283585877515049362986846616673736400568185927769<255>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10270-9

### c271

composite cofactor 合成数の残り `7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<271>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovApril 11, 2019 05:49:52 UTC 2019 年 4 月 11 日 (木) 14 時 49 分 52 秒 (日本時間)
5043e650002000Dmitry DomanovApril 23, 2019 19:01:58 UTC 2019 年 4 月 24 日 (水) 4 時 1 分 58 秒 (日本時間)
3000Dmitry DomanovJune 21, 2019 18:53:28 UTC 2019 年 6 月 22 日 (土) 3 時 53 分 28 秒 (日本時間)
5511e7828 / 15837Dmitry DomanovJuly 26, 2020 08:34:35 UTC 2020 年 7 月 26 日 (日) 17 時 34 分 35 秒 (日本時間)

## 8×10271-9

### c262

composite cofactor 合成数の残り `1924965893079539619408100457622577285332262967726612873343835150149681742144126526192524287786561925417359180375349994119478239104423628146514024959731314246226495116647302475072474965272892825083358851164458641785704299068574797266828870483187033169950819291109<262>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10272-9

### c212

composite cofactor 合成数の残り `16458240263750466506753099973246695533898965446746531649634532721565884493791057200011396785839378982236818440107666497105002802049195766097922242185116452962666439266172398219285889674775579119489317396890222121<212>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10273-9

### c222

composite cofactor 合成数の残り `203574382889076311205874782400151847181215371898656889487853034991920352807902840668709976044015732397548004838840344649755509033479740769107489134799935530283035566091503919394723090299941973547794893208327914127162593411<222>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10274-9

### c260

composite cofactor 合成数の残り `26923692554302315368682691414642149256381497229547246127259054570777169629506424947581968064286865837109903952855869028172261030940178987803074087454125538008157785015686702758946147079559518333664405165143729684416509290579441589149178154944947803134469408031<260>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10275-9

### c272

composite cofactor 合成数の残り `38589551878828807100477545704500506487868409628093193767787371569147653272876368723168202209251845062949206502339491582653996430466451208335343205827022333703149872172109401379576479668129853842072258935893106941295644204331677198398533597028604505330181853263228980753461<272>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10276-9

### c240

composite cofactor 合成数の残り `107183368894906487714599811886373748652269000566041918587919803097762551084521569022587091967542346808820530072659272648089908968212050150728648205985884089528536825513697892776316685320188481842108080313969870626923477429217356589807364447<240>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10277-9

### c274

composite cofactor 合成数の残り `1572914413794459408977409016731877076738561962997188415485342403806452881382591769725329820491142525707319950453195965474528617211615972945872082735298165588564912211714280096734236448359253652110654529010440219421560724327087552348557834096852205029393838107783960205265331<274>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10278-9

### c274

composite cofactor 合成数の残り `2927325485661593855543805596314497213552053335870348754240048008137964850139230918411779557754302253674708273719569536787333462623542283387061953184747170556960265215689000940403312268787026093447547816032229853597134148349537299615422614321208107227932539784182928569598993<274>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10279-9

### c219

composite cofactor 合成数の残り `257137262033773644449495008320439904390596566801298547475790257483099796528502615104670773885621662402140661498173262630528707633979736668118166859016093200306066491893448202418630908897083769851247548976121650528068599<219>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10280-9

### c255

composite cofactor 合成数の残り `170126449892142453616680197747657922546681811601262469224842843706439202162585730261087870472764848696534224164308469730185920486890941905261786553521496155940184421999724974059381700999060006543550421392706295876722292705777040796711753572684745006068023<255>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10281-9

### c241

composite cofactor 合成数の残り `5706350599902756936975286670577811176967567949081450536408958320816346661620213248618961740182700685764264985510930286120816958464907403582545917251107028900450543591128607651929324897177177477012163990999614805409188554010082653877065016329<241>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10282-9

### c243

composite cofactor 合成数の残り `810606939625540136394513315059392770218119941445846284439744253288293620551528456733578179876095321467111353328023163094754737489897142393295363974917832864704556766117258092268735326916591548410302076018991084243887848246347399117006016727337<243>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10284-9

### c270

composite cofactor 合成数の残り `574927902146271502106280411535924729934391612586611094355203888014537361021386398015341403291624252336815455978471929422259865356354802010731745784164436960296061025828442914680680616568312078182305713408576060034209891537866923552287258980553467442176352446305690167359<270>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10285-9

### c262

name 名前 Seth Troisi January 5, 2024 09:17:23 UTC 2024 年 1 月 5 日 (金) 18 時 17 分 23 秒 (日本時間) `4774221992207713816563267241174796971775723299828842882472257628201226630717004468425240548222777142021531181093959343925929292912751662854462759076244832793978819612084121275089272156291395800139216533286220489881625631524101980481194555797467276665247425183071<262>` `827117552198376584636493995085004454335292011<45>` `5772120274220296452435072583278683532942779726872496985316398340687987392365876796688006173830412821309719141909851640199450584923589251125157457646973694581450764806248006650369982991834034509581492168001825918506461<217>` ```GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-assert] [ECM] Tuned for x86_64/params.h Running on sethtroisi-linux.sea.corp.google.com Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Fri Dec 1 15:04:48 2023 Input number is 4774221992207713816563267241174796971775723299828842882472257628201226630717004468425240548222777142021531181093959343925929292912751662854462759076244832793978819612084121275089272156291395800139216533286220489881625631524101980481194555797467276665247425183071 (262 digits) [Fri Dec 22 15:19:10 2023] Using mpz_mod Using lmax = 16777216 with NTT which takes about 6144MB of memory Using B1=10000000000-10000000000, B2=10120522433628702, polynomial x^1 P = 596530935, l = 16777216, s_1 = 8294400, k = s_2 = 24, m_1 = 3 Probability of finding a factor of n digits (assuming one exists): 20 25 30 35 40 45 50 55 60 65 0.82 0.55 0.3 0.14 0.056 0.02 0.0064 0.0019 0.00052 0.00013 Step 1 took 0ms Computing F from factored S_1 took 61455ms Computing h took 8795ms Computing DCT-I of h took 17098ms Multi-point evaluation 1 of 24: Computing g_i took 29734ms Computing g*h took 33481ms Computing gcd of coefficients and N took 10025ms Step 2 took 161226ms ********** Factor found in step 2: 827117552198376584636493995085004454335292011 Found prime factor of 45 digits: 827117552198376584636493995085004454335292011 Composite cofactor 5772120274220296452435072583278683532942779726872496985316398340687987392365876796688006173830412821309719141909851640199450584923589251125157457646973694581450764806248006650369982991834034509581492168001825918506461 has 217 digits Peak memory usage: 6194MB``` `GMP-ECM 7.0.6, ecm-db 0.1` `1080 Ti for PM1 stage1`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10286-9

### c266

composite cofactor 合成数の残り `33511708272216977549017349138125320375156483439438814097120914294736559733685331285190422614060042625966190561806819986962660273479558037666384365364596168633869511962432552155903646325378535200579609150974935797225679823099605646087709247574507713282023862594010161<266>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10287-9

### c249

composite cofactor 合成数の残り `104895251839468073307121797264869417943207186342218489996107481401183450920714940155615963967254317475407484342033548142580029349569154953353477387808145482506481316561492805805277628553998983043584548208233095378710363847384009044115781886936098851<249>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10288-9

### c289

composite cofactor 合成数の残り `7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<289>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovApril 10, 2019 21:01:20 UTC 2019 年 4 月 11 日 (木) 6 時 1 分 20 秒 (日本時間)
5043e650002000Dmitry DomanovApril 19, 2019 16:20:48 UTC 2019 年 4 月 20 日 (土) 1 時 20 分 48 秒 (日本時間)
3000Dmitry DomanovJune 3, 2019 14:58:48 UTC 2019 年 6 月 3 日 (月) 23 時 58 分 48 秒 (日本時間)
5511e7832 / 15837Dmitry DomanovJuly 28, 2020 21:52:27 UTC 2020 年 7 月 29 日 (水) 6 時 52 分 27 秒 (日本時間)

## 8×10289-9

### c289

composite cofactor 合成数の残り `1951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951<289>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10290-9

### c260

composite cofactor 合成数の残り `78321107604883387237613713540263222428253296291734873767286247512759333471649838258132635838350366426076814622089937371741528657003798297000200872350013991979180938832347792218660510904214784658285925683820313279759197769574507216368652409813102854179877746473<260>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10292-9

### c266

composite cofactor 合成数の残り `40422884447084231475115482035894413595397172209502464783558246903739209313028671773209357337795313839534171020735357090703779133135866811324618317371272111569931795644700304571159019830169174260124015182493253693510699695754444116350456438580139048856750965021259023<266>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10293-9

### c294

composite cofactor 合成数の残り `799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<294>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovApril 10, 2019 16:57:31 UTC 2019 年 4 月 11 日 (木) 1 時 57 分 31 秒 (日本時間)
5043e650002000Dmitry DomanovApril 19, 2019 22:08:24 UTC 2019 年 4 月 20 日 (土) 7 時 8 分 24 秒 (日本時間)
3000Dmitry DomanovJune 7, 2019 22:42:40 UTC 2019 年 6 月 8 日 (土) 7 時 42 分 40 秒 (日本時間)
5511e7828 / 15837Dmitry DomanovJuly 5, 2020 11:58:18 UTC 2020 年 7 月 5 日 (日) 20 時 58 分 18 秒 (日本時間)

## 8×10294-9

### c247

composite cofactor 合成数の残り `9896208522383669519043365378624746928801580926379137261904107120740522009380266878554866479665478675995537446028561844472432322473549647437254111237074380643540935189446911385056308131570303282744041531213623734094943820620409160750708642780770761<247>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10297-9

### c265

composite cofactor 合成数の残り `1965485483923639765600670294044101384747208439714787965383158038424160712184772114370154756343445798956308977363556891315437356872414923613229326666454676015316999611080846190860070501646000941609479032171470090738131755247194237497436670968398315581803320114585741<265>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10298-9

### c291

composite cofactor 合成数の残り `320675317848063866049045470032432580549761676308418129140191428493859502579109408401779108266797647569159434512967286119052980528967485322560427746241074989606411893360112501559734682701934388475115068224936531239614253406991865938284215247711321216421370959215915818303745496931880774087289<291>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10299-9

### c236

composite cofactor 合成数の残り `26705439066307356885647053940144597313164228180800043832153162345865299031089994908303479934768215351403640915386198131698333481382384611309693136059850682740611592875984178150221260502245287834164248212161651179711267995919042346033249<236>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

## 8×10300-9

### c196

composite cofactor 合成数の残り `6039811108069576524546919150725784839072333387423697878740550743030591157398940247374602323668729515407840412653433449961986408612402817846458448413704052508489731807768388376461018156569885262441<196>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovApril 10, 2019 10:31:01 UTC 2019 年 4 月 10 日 (水) 19 時 31 分 1 秒 (日本時間)
5043e62000Dmitry DomanovApril 12, 2019 22:02:16 UTC 2019 年 4 月 13 日 (土) 7 時 2 分 16 秒 (日本時間)
5511e72880 / 16908Erik BrangerMay 3, 2019 14:39:16 UTC 2019 年 5 月 3 日 (金) 23 時 39 分 16 秒 (日本時間)