## 19×10102+719

### c81

name 名前 Robert Backstrom June 10, 2008 16:12:58 UTC 2008 年 6 月 11 日 (水) 1 時 12 分 58 秒 (日本時間) `249242805169099218110483718489943670020768006417293937568393361947376351088800721<81>` ```980156943101230219900359753653<30> 254288669710884780374892372181242723179308431072557<51>``` ```GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM] Input number is 249242805169099218110483718489943670020768006417293937568393361947376351088800721 (81 digits) Using B1=298000, B2=172085560, polynomial Dickson(3), sigma=1582660929 Step 1 took 1594ms Step 2 took 921ms ********** Factor found in step 2: 980156943101230219900359753653 Found probable prime factor of 30 digits: 980156943101230219900359753653 Probable prime cofactor 254288669710884780374892372181242723179308431072557 has 51 digits```

## 19×10108+719

### c86

name 名前 Robert Backstrom June 10, 2008 18:33:27 UTC 2008 年 6 月 11 日 (水) 3 時 33 分 27 秒 (日本時間) `13394381603467477755945469483667385640135036286832826097295226247555419210533528815089<86>` ```450603619990888308306431347840461433<36> 29725419435685684489852635686211058845046578616633<50>``` ```Number: n N=13394381603467477755945469483667385640135036286832826097295226247555419210533528815089 ( 86 digits) SNFS difficulty: 109 digits. Divisors found: r1=450603619990888308306431347840461433 (pp36) r2=29725419435685684489852635686211058845046578616633 (pp50) Version: GGNFS-0.77.1-20051202-athlon Total time: 0.73 hours. Scaled time: 1.33 units (timescale=1.818). Factorization parameters were as follows: name: KA_2_1_107_9 n: 13394381603467477755945469483667385640135036286832826097295226247555419210533528815089 skew: 0.33 deg: 5 c5: 19000 c0: 71 m: 1000000000000000000000 type: snfs rlim: 500000 alim: 500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 20000 Factor base limits: 500000/500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 180001) Primes: RFBsize:41538, AFBsize:41668, largePrimes:3476528 encountered Relations: rels:2873720, finalFF:99266 Max relations in full relation-set: 48 Initial matrix: 83273 x 99266 with sparse part having weight 7851229. Pruned matrix : 77272 x 77752 with weight 4272405. Total sieving time: 0.63 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.02 hours. Total square root time: 0.03 hours, sqrts: 3. Prototype def-par.txt line would be: snfs,109,5,0,0,0,0,0,0,0,0,500000,500000,28,28,48,48,2.5,2.5,50000 total time: 0.73 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+```

## 19×10112+719

### c106

name 名前 Sinkiti Sibata June 11, 2008 04:18:56 UTC 2008 年 6 月 11 日 (水) 13 時 18 分 56 秒 (日本時間) `5334136935099808580284923205132405491095318135366526656801882265322610145927107109722326448450493580324087<106>` ```192943753209624529109523104943977732198649113<45> 27646072217246202886997945868549461853782928111418179513056399<62>``` ```Number: 21119_112 N=5334136935099808580284923205132405491095318135366526656801882265322610145927107109722326448450493580324087 ( 106 digits) SNFS difficulty: 113 digits. Divisors found: r1=192943753209624529109523104943977732198649113 (pp45) r2=27646072217246202886997945868549461853782928111418179513056399 (pp62) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 2.53 hours. Scaled time: 1.72 units (timescale=0.677). Factorization parameters were as follows: name: 21119_112 n: 5334136935099808580284923205132405491095318135366526656801882265322610145927107109722326448450493580324087 m: 10000000000000000000000 c5: 1900 c0: 71 skew: 0.52 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:64189, largePrimes:2361199 encountered Relations: rels:2768899, finalFF:523002 Max relations in full relation-set: 28 Initial matrix: 113354 x 523002 with sparse part having weight 43837723. Pruned matrix : 64947 x 65577 with weight 6285656. Total sieving time: 2.33 hours. Total relation processing time: 0.09 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: 2.53 hours. --------- CPU info (if available) ----------``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

## 19×10114+719

### c110

name 名前 Sinkiti Sibata June 11, 2008 06:59:43 UTC 2008 年 6 月 11 日 (水) 15 時 59 分 43 秒 (日本時間) `41851418652957022998455902922330375098846442739549810897668875981030293818986006207226198106994253139407075533<110>` ```8668069487682906600652956127049454670277290771<46> 4828228328398470071417068118715193261966974633062620905686001823<64>``` ```Number: 21119_114 N=41851418652957022998455902922330375098846442739549810897668875981030293818986006207226198106994253139407075533 ( 110 digits) SNFS difficulty: 116 digits. Divisors found: r1=8668069487682906600652956127049454670277290771 (pp46) r2=4828228328398470071417068118715193261966974633062620905686001823 (pp64) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 2.38 hours. Scaled time: 1.62 units (timescale=0.678). Factorization parameters were as follows: name: 21119_114 n: 41851418652957022998455902922330375098846442739549810897668875981030293818986006207226198106994253139407075533 m: 100000000000000000000000 c5: 19 c0: 710 skew: 2.06 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:64144, largePrimes:2134265 encountered Relations: rels:2237799, finalFF:245661 Max relations in full relation-set: 28 Initial matrix: 113307 x 245661 with sparse part having weight 20999251. Pruned matrix : 83577 x 84207 with weight 4754404. Total sieving time: 2.17 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.11 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,116,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 2.38 hours. --------- CPU info (if available) ----------``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

## 19×10124+719

### c100

name 名前 Sinkiti Sibata June 11, 2008 11:39:07 UTC 2008 年 6 月 11 日 (水) 20 時 39 分 7 秒 (日本時間) `5808029987541690152973383463236766090906255370289806657893139849685671618439794418005456394778248453<100>` ```1253918638360010980630156828555485474091<40> 4631903386600872960769452069902828289819525693679554924387983<61>``` ```Number: 21119_124 N=5808029987541690152973383463236766090906255370289806657893139849685671618439794418005456394778248453 ( 100 digits) SNFS difficulty: 126 digits. Divisors found: r1=1253918638360010980630156828555485474091 (pp40) r2=4631903386600872960769452069902828289819525693679554924387983 (pp61) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 4.21 hours. Scaled time: 2.85 units (timescale=0.678). Factorization parameters were as follows: name: 21119_124 n: 5808029987541690152973383463236766090906255370289806657893139849685671618439794418005456394778248453 m: 10000000000000000000000000 c5: 19 c0: 710 skew: 2.06 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, 750001) Primes: RFBsize:49098, AFBsize:64144, largePrimes:2250891 encountered Relations: rels:2388831, finalFF:237058 Max relations in full relation-set: 28 Initial matrix: 113307 x 237058 with sparse part having weight 23832349. Pruned matrix : 93307 x 93937 with weight 7260611. Total sieving time: 3.90 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.16 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,126,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 4.21 hours. --------- CPU info (if available) ----------``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

## 19×10125+719

### c123

name 名前 Robert Backstrom June 10, 2008 23:17:11 UTC 2008 年 6 月 11 日 (水) 8 時 17 分 11 秒 (日本時間) `219222337602399907695857851621091496480904580593054113303334487135110188069689627322026075920156917041652244144455982462213<123>` ```1413942013724739012664646934719861<34> 155043371987302231298493040834790288681640158330016874349793071994628235823840962820138833<90>``` ```GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM] Input number is 219222337602399907695857851621091496480904580593054113303334487135110188069689627322026075920156917041652244144455982462213 (123 digits) Using B1=978000, B2=1045485222, polynomial Dickson(6), sigma=492425792 Step 1 took 8484ms Step 2 took 4891ms ********** Factor found in step 2: 1413942013724739012664646934719861 Found probable prime factor of 34 digits: 1413942013724739012664646934719861 Probable prime cofactor 155043371987302231298493040834790288681640158330016874349793071994628235823840962820138833 has 90 digits```

## 19×10126+719

### c87

name 名前 Robert Backstrom June 11, 2008 07:51:25 UTC 2008 年 6 月 11 日 (水) 16 時 51 分 25 秒 (日本時間) `293389970794478209096552836142598741462779930913674529100775827845706558862965578857763<87>` ```5784939440621316381615971654557277699<37> 50716169772551226915531892187055375653717528087137<50>``` ```Number: n N=293389970794478209096552836142598741462779930913674529100775827845706558862965578857763 ( 87 digits) SNFS difficulty: 127 digits. Divisors found: r1=5784939440621316381615971654557277699 (pp37) r2=50716169772551226915531892187055375653717528087137 (pp50) Version: GGNFS-0.77.1-20051202-athlon Total time: 2.33 hours. Scaled time: 4.27 units (timescale=1.829). Factorization parameters were as follows: name: KA_2_1_125_9 n: 293389970794478209096552836142598741462779930913674529100775827845706558862965578857763 skew: 0.82 deg: 5 c5: 190 c0: 71 m: 10000000000000000000000000 type: snfs rlim: 1000000 alim: 1000000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 20000 Factor base limits: 1000000/1000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 400001) Primes: RFBsize:78498, AFBsize:78712, largePrimes:5072487 encountered Relations: rels:4367200, finalFF:184214 Max relations in full relation-set: 48 Initial matrix: 157277 x 184214 with sparse part having weight 17282688. Pruned matrix : 146383 x 147233 with weight 10383105. Total sieving time: 2.11 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.12 hours. Total square root time: 0.02 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,127,5,0,0,0,0,0,0,0,0,1000000,1000000,28,28,48,48,2.5,2.5,50000 total time: 2.33 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+```

## 19×10132+719

### c99

name 名前 Sinkiti Sibata June 12, 2008 04:57:57 UTC 2008 年 6 月 12 日 (木) 13 時 57 分 57 秒 (日本時間) `346468070147833660032137932254250415307534601826032743066574670396429414515780339704184084723327963<99>` ```24188464339752121280456516669389<32> 14323690221972322118217528148496229598451511026018742414164385860167<68>``` ```Msieve v. 1.36 Wed Jun 11 20:43:23 2008 random seeds: 525b3299 f77d553e factoring 3464680701478336600321379322542504153075346018260327430665746703964294 14515780339704184084723327963 (99 digits) no P-1/P+1/ECM available, skipping commencing quadratic sieve (99-digit input) using multiplier of 1 using 64kb Pentium 4 sieve core sieve interval: 18 blocks of size 65536 processing polynomials in batches of 6 using a sieve bound of 2608121 (95294 primes) using large prime bound of 391218150 (28 bits) using double large prime bound of 2926537886090700 (43-52 bits) using trial factoring cutoff of 52 bits polynomial 'A' values have 13 factors sieving in progress (press Ctrl-C to pause) 95438 relations (21959 full + 73479 combined from 1457579 partial), need 95390 95438 relations (21959 full + 73479 combined from 1457579 partial), need 95390 sieving complete, commencing postprocessing begin with 1479538 relations reduce to 254860 relations in 12 passes attempting to read 254860 relations recovered 254860 relations recovered 246051 polynomials attempting to build 95438 cycles found 95438 cycles in 6 passes distribution of cycle lengths: length 1 : 21959 length 2 : 16209 length 3 : 15947 length 4 : 12888 length 5 : 10074 length 6 : 6948 length 7 : 4671 length 9+: 6742 largest cycle: 22 relations matrix is 95294 x 95438 (26.0 MB) with weight 6442385 (67.50/col) sparse part has weight 6442385 (67.50/col) filtering completed in 3 passes matrix is 91866 x 91930 (25.2 MB) with weight 6238098 (67.86/col) sparse part has weight 6238098 (67.86/col) saving the first 48 matrix rows for later matrix is 91818 x 91930 (14.9 MB) with weight 4870259 (52.98/col) sparse part has weight 3352459 (36.47/col) matrix includes 64 packed rows using block size 21845 for processor cache size 512 kB commencing Lanczos iteration memory use: 14.9 MB linear algebra completed 88334 out of 91930 dimensions (96.1%) lanczos halted after 1453 iterations (dim = 91814) recovered 14 nontrivial dependencies prp32 factor: 24188464339752121280456516669389 prp68 factor: 143236902219723221182175281484962295984515110260187424141643858601 67 elapsed time 17:08:08``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

## 19×10134+719

### c116

name 名前 Sinkiti Sibata June 11, 2008 04:40:04 UTC 2008 年 6 月 11 日 (水) 13 時 40 分 4 秒 (日本時間) `17099634862527007633774249557468016889650724451448309765314701595321185322430397101421106833371432310268550373729429<116>` ```10698206939899017923623609042878690937<38> 1598364563201131516546710489349534778051921624547529288544666400228846159595517<79>``` ```Number: 21119_134 N=17099634862527007633774249557468016889650724451448309765314701595321185322430397101421106833371432310268550373729429 ( 116 digits) SNFS difficulty: 136 digits. Divisors found: r1=10698206939899017923623609042878690937 (pp38) r2=1598364563201131516546710489349534778051921624547529288544666400228846159595517 (pp79) Version: GGNFS-0.77.1-20060513-k8 Total time: 9.94 hours. Scaled time: 19.86 units (timescale=1.997). Factorization parameters were as follows: name: 21119_134 n: 17099634862527007633774249557468016889650724451448309765314701595321185322430397101421106833371432310268550373729429 m: 1000000000000000000000000000 c5: 19 c0: 710 skew: 2.06 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, 1675001) Primes: RFBsize:78498, AFBsize:64144, largePrimes:1647026 encountered Relations: rels:1684261, finalFF:198191 Max relations in full relation-set: 28 Initial matrix: 142707 x 198191 with sparse part having weight 19597404. Pruned matrix : 128343 x 129120 with weight 11138560. Total sieving time: 9.69 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.12 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,136,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 9.94 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 19×10136+719

### c90

name 名前 Sinkiti Sibata June 11, 2008 01:17:56 UTC 2008 年 6 月 11 日 (水) 10 時 17 分 56 秒 (日本時間) `252065165535361002452532784148597056128711426018622824885723522262738501167092198881757897<90>` ```133603222497974916207566236359895495592119<42> 1886669803486077342881805363901015169384078657663<49>``` ```Msieve v. 1.36 Wed Jun 11 08:06:37 2008 random seeds: 96543fac dba2f462 factoring 2520651655353610024525327841485970561287114260186228248857235222627385 01167092198881757897 (90 digits) no P-1/P+1/ECM available, skipping commencing quadratic sieve (90-digit input) using multiplier of 17 using 64kb Pentium 4 sieve core sieve interval: 18 blocks of size 65536 processing polynomials in batches of 6 using a sieve bound of 1575269 (59429 primes) using large prime bound of 126021520 (26 bits) using double large prime bound of 380890718607520 (42-49 bits) using trial factoring cutoff of 49 bits polynomial 'A' values have 12 factors sieving in progress (press Ctrl-C to pause) 59947 relations (16155 full + 43792 combined from 629724 partial), need 59525 59947 relations (16155 full + 43792 combined from 629724 partial), need 59525 sieving complete, commencing postprocessing begin with 645879 relations reduce to 144865 relations in 10 passes attempting to read 144865 relations recovered 144865 relations recovered 123874 polynomials attempting to build 59947 cycles found 59947 cycles in 5 passes distribution of cycle lengths: length 1 : 16155 length 2 : 11799 length 3 : 10594 length 4 : 7866 length 5 : 5532 length 6 : 3513 length 7 : 2054 length 9+: 2434 largest cycle: 17 relations matrix is 59429 x 59947 (14.3 MB) with weight 3521971 (58.75/col) sparse part has weight 3521971 (58.75/col) filtering completed in 3 passes matrix is 55467 x 55530 (13.3 MB) with weight 3266995 (58.83/col) sparse part has weight 3266995 (58.83/col) saving the first 48 matrix rows for later matrix is 55419 x 55530 (8.1 MB) with weight 2513840 (45.27/col) sparse part has weight 1789178 (32.22/col) matrix includes 64 packed rows using block size 21845 for processor cache size 512 kB commencing Lanczos iteration memory use: 8.1 MB lanczos halted after 878 iterations (dim = 55419) recovered 18 nontrivial dependencies prp42 factor: 133603222497974916207566236359895495592119 prp49 factor: 1886669803486077342881805363901015169384078657663 elapsed time 02:05:15``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

## 19×10137+719

### c89

name 名前 Sinkiti Sibata June 10, 2008 23:03:43 UTC 2008 年 6 月 11 日 (水) 8 時 3 分 43 秒 (日本時間) `15103390945624425556975625569909307003410456545785172300761814910792315112232985777664387<89>` ```4250715591941833113363929326424495917<37> 3553140787460875292162304042118460409815632172652911<52>``` ```Msieve v. 1.36 Wed Jun 11 06:15:26 2008 random seeds: 842cce61 e20be948 factoring 1510339094562442555697562556990930700341045654578517230076181491079231 5112232985777664387 (89 digits) no P-1/P+1/ECM available, skipping commencing quadratic sieve (89-digit input) using multiplier of 3 using 64kb Pentium 4 sieve core sieve interval: 14 blocks of size 65536 processing polynomials in batches of 8 using a sieve bound of 1533041 (58333 primes) using large prime bound of 122643280 (26 bits) using double large prime bound of 362709283500240 (42-49 bits) using trial factoring cutoff of 49 bits polynomial 'A' values have 11 factors sieving in progress (press Ctrl-C to pause) 58569 relations (15723 full + 42846 combined from 617873 partial), need 58429 58569 relations (15723 full + 42846 combined from 617873 partial), need 58429 sieving complete, commencing postprocessing begin with 633596 relations reduce to 142553 relations in 9 passes attempting to read 142553 relations recovered 142553 relations recovered 122273 polynomials attempting to build 58569 cycles found 58569 cycles in 5 passes distribution of cycle lengths: length 1 : 15723 length 2 : 10979 length 3 : 10473 length 4 : 7863 length 5 : 5457 length 6 : 3524 length 7 : 2049 length 9+: 2501 largest cycle: 19 relations matrix is 58333 x 58569 (14.2 MB) with weight 3487711 (59.55/col) sparse part has weight 3487711 (59.55/col) filtering completed in 3 passes matrix is 54502 x 54566 (13.3 MB) with weight 3275180 (60.02/col) sparse part has weight 3275180 (60.02/col) saving the first 48 matrix rows for later matrix is 54454 x 54566 (9.3 MB) with weight 2650970 (48.58/col) sparse part has weight 2107434 (38.62/col) matrix includes 64 packed rows using block size 21826 for processor cache size 512 kB commencing Lanczos iteration memory use: 8.6 MB lanczos halted after 863 iterations (dim = 54450) recovered 15 nontrivial dependencies prp37 factor: 4250715591941833113363929326424495917 prp52 factor: 3553140787460875292162304042118460409815632172652911 elapsed time 01:41:49``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

## 19×10138+719

### c115

name 名前 Sinkiti Sibata June 11, 2008 13:38:59 UTC 2008 年 6 月 11 日 (水) 22 時 38 分 59 秒 (日本時間) `2224234543658585009229052576859222565158549335853153762487314124689686259971732751014408988258302505370921285391561<115>` ```1603870692511431841860591622009493<34> 1386791687162605489137851193896744499618556517677168287616017596826355620762034277<82>``` ```Number: 21119_138 N=2224234543658585009229052576859222565158549335853153762487314124689686259971732751014408988258302505370921285391561 ( 115 digits) SNFS difficulty: 139 digits. Divisors found: r1=1603870692511431841860591622009493 (pp34) r2=1386791687162605489137851193896744499618556517677168287616017596826355620762034277 (pp82) Version: GGNFS-0.77.1-20060513-k8 Total time: 17.15 hours. Scaled time: 34.34 units (timescale=2.003). Factorization parameters were as follows: name: 21119_138 n: 2224234543658585009229052576859222565158549335853153762487314124689686259971732751014408988258302505370921285391561 m: 1000000000000000000000000000 c5: 19000 c0: 71 skew: 0.33 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, 2725001) Primes: RFBsize:78498, AFBsize:63999, largePrimes:1750118 encountered Relations: rels:1816378, finalFF:175667 Max relations in full relation-set: 28 Initial matrix: 142564 x 175667 with sparse part having weight 21332623. Pruned matrix : 135273 x 136049 with weight 15303043. Total sieving time: 16.81 hours. Total relation processing time: 0.10 hours. Matrix solve time: 0.18 hours. Time per square root: 0.07 hours. Prototype def-par.txt line would be: snfs,139,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 17.15 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 19×10141+719

### c114

name 名前 Sinkiti Sibata June 11, 2008 23:36:49 UTC 2008 年 6 月 12 日 (木) 8 時 36 分 49 秒 (日本時間) `124612176564047940613189812872850872746123053929396105024813316924095670437315190625530573100811253768993389660371<114>` ```650231791063999630808600501041274974102363870523<48> 191642700766968311023323590286528352074786023369003402963652968777<66>``` ```Number: 21119_141 N=124612176564047940613189812872850872746123053929396105024813316924095670437315190625530573100811253768993389660371 ( 114 digits) SNFS difficulty: 142 digits. Divisors found: r1=650231791063999630808600501041274974102363870523 (pp48) r2=191642700766968311023323590286528352074786023369003402963652968777 (pp66) Version: GGNFS-0.77.1-20060513-k8 Total time: 18.56 hours. Scaled time: 37.06 units (timescale=1.997). Factorization parameters were as follows: name: 21119_141 n: 124612176564047940613189812872850872746123053929396105024813316924095670437315190625530573100811253768993389660371 m: 10000000000000000000000000000 c5: 190 c0: 71 skew: 0.82 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, 2750001) Primes: RFBsize:100021, AFBsize:100044, largePrimes:2926502 encountered Relations: rels:2964235, finalFF:258827 Max relations in full relation-set: 28 Initial matrix: 200132 x 258827 with sparse part having weight 31021926. Pruned matrix : 185082 x 186146 with weight 20907215. Total sieving time: 17.93 hours. Total relation processing time: 0.12 hours. Matrix solve time: 0.41 hours. Time per square root: 0.10 hours. Prototype def-par.txt line would be: snfs,142,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 18.56 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 19×10142+719

### c128

name 名前 Sinkiti Sibata June 12, 2008 08:31:47 UTC 2008 年 6 月 12 日 (木) 17 時 31 分 47 秒 (日本時間) `13237546736842859505402038877708992687784678505751658372756797808700605511230085366853429133351356265970701486042520921806832811<128>` ```16065327225299271269093343103523<32> 35702000102923126067043311456968363449168793523<47> 23079446206702040089175443834158184126317648059459<50>``` ```Number: 21119_142 N=13237546736842859505402038877708992687784678505751658372756797808700605511230085366853429133351356265970701486042520921806832811 ( 128 digits) SNFS difficulty: 143 digits. Divisors found: r1=16065327225299271269093343103523 (pp32) r2=35702000102923126067043311456968363449168793523 (pp47) r3=23079446206702040089175443834158184126317648059459 (pp50) Version: GGNFS-0.77.1-20060513-k8 Total time: 17.07 hours. Scaled time: 34.10 units (timescale=1.997). Factorization parameters were as follows: name: 21119_142 n: 13237546736842859505402038877708992687784678505751658372756797808700605511230085366853429133351356265970701486042520921806832811 m: 10000000000000000000000000000 c5: 1900 c0: 71 skew: 0.52 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, 2550001) Primes: RFBsize:100021, AFBsize:100279, largePrimes:2828872 encountered Relations: rels:2812879, finalFF:226712 Max relations in full relation-set: 28 Initial matrix: 200367 x 226712 with sparse part having weight 25694109. Pruned matrix : 193388 x 194453 with weight 20533623. Total sieving time: 16.39 hours. Total relation processing time: 0.10 hours. Matrix solve time: 0.49 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,143,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 17.07 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 19×10143+719

### c141

name 名前 Sinkiti Sibata June 12, 2008 21:14:17 UTC 2008 年 6 月 13 日 (金) 6 時 14 分 17 秒 (日本時間) `111169621438183839447662512433444502954771517172780995845766777836288104850506114329179100111169621438183839447662512433444502954771517172781<141>` ```773537122612256721050443498792233896398463284176095668716900509<63> 143715948709430888732671112113368641464136741032198092002947921700020431129809<78>``` ```Number: 21119_143 N=111169621438183839447662512433444502954771517172780995845766777836288104850506114329179100111169621438183839447662512433444502954771517172781 ( 141 digits) SNFS difficulty: 144 digits. Divisors found: r1=773537122612256721050443498792233896398463284176095668716900509 (pp63) r2=143715948709430888732671112113368641464136741032198092002947921700020431129809 (pp78) Version: GGNFS-0.77.1-20060513-k8 Total time: 22.98 hours. Scaled time: 46.18 units (timescale=2.010). Factorization parameters were as follows: name: 21119_143 n: 111169621438183839447662512433444502954771517172780995845766777836288104850506114329179100111169621438183839447662512433444502954771517172781 m: 10000000000000000000000000000 c5: 19000 c0: 71 skew: 0.33 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, 3350001) Primes: RFBsize:100021, AFBsize:99934, largePrimes:3035935 encountered Relations: rels:3122816, finalFF:265596 Max relations in full relation-set: 28 Initial matrix: 200022 x 265596 with sparse part having weight 33581023. Pruned matrix : 184436 x 185500 with weight 22513251. Total sieving time: 22.36 hours. Total relation processing time: 0.14 hours. Matrix solve time: 0.38 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,144,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 22.98 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 19×10144+719

### c138

name 名前 Sinkiti Sibata June 13, 2008 09:53:52 UTC 2008 年 6 月 13 日 (金) 18 時 53 分 52 秒 (日本時間) `234320744919953998644664146041415550365721035702132307679367874653003350034359437441275675680208765477825568110337741658838195568952782483<138>` ```279576733790481204623483289144205990927420007608424299189687<60> 838126770218144510957697953206157504729388016127259238924760043036739444411909<78>``` ```Number: 21119_144 N=234320744919953998644664146041415550365721035702132307679367874653003350034359437441275675680208765477825568110337741658838195568952782483 ( 138 digits) SNFS difficulty: 146 digits. Divisors found: r1=279576733790481204623483289144205990927420007608424299189687 (pp60) r2=838126770218144510957697953206157504729388016127259238924760043036739444411909 (pp78) Version: GGNFS-0.77.1-20060513-k8 Total time: 24.32 hours. Scaled time: 48.56 units (timescale=1.997). Factorization parameters were as follows: name: 21119_144 n: 234320744919953998644664146041415550365721035702132307679367874653003350034359437441275675680208765477825568110337741658838195568952782483 m: 100000000000000000000000000000 c5: 19 c0: 710 skew: 2.06 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, 3450001) Primes: RFBsize:114155, AFBsize:114373, largePrimes:2976517 encountered Relations: rels:3009909, finalFF:285451 Max relations in full relation-set: 28 Initial matrix: 228593 x 285451 with sparse part having weight 32777468. Pruned matrix : 212266 x 213472 with weight 22989071. Total sieving time: 23.51 hours. Total relation processing time: 0.14 hours. Matrix solve time: 0.56 hours. Time per square root: 0.11 hours. Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000 total time: 24.32 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 19×10147+719

### c142

name 名前 Sinkiti Sibata June 14, 2008 03:54:36 UTC 2008 年 6 月 14 日 (土) 12 時 54 分 36 秒 (日本時間) `3103073823269493305608185320794955251225673330272722625540159409801891601138730101334958690738026912142670841770836038315449012332431972047511<142>` ```3726369897506049222488673132552815264516392147<46> 832733708305847517955059751402619654460601103742913699994890502633673002797961698240750355056813<96>``` ```Number: 21119_147 N=3103073823269493305608185320794955251225673330272722625540159409801891601138730101334958690738026912142670841770836038315449012332431972047511 ( 142 digits) SNFS difficulty: 148 digits. Divisors found: r1=3726369897506049222488673132552815264516392147 (pp46) r2=832733708305847517955059751402619654460601103742913699994890502633673002797961698240750355056813 (pp96) Version: GGNFS-0.77.1-20060513-k8 Total time: 32.77 hours. Scaled time: 65.86 units (timescale=2.010). Factorization parameters were as follows: name: 21119_147 n: 3103073823269493305608185320794955251225673330272722625540159409801891601138730101334958690738026912142670841770836038315449012332431972047511 m: 100000000000000000000000000000 c5: 1900 c0: 71 skew: 0.52 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, 4450001) Primes: RFBsize:114155, AFBsize:114603, largePrimes:3082436 encountered Relations: rels:3151468, finalFF:259813 Max relations in full relation-set: 28 Initial matrix: 228825 x 259813 with sparse part having weight 32779060. Pruned matrix : 220551 x 221759 with weight 26667026. Total sieving time: 31.77 hours. Total relation processing time: 0.14 hours. Matrix solve time: 0.74 hours. Time per square root: 0.11 hours. Prototype def-par.txt line would be: snfs,148,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000 total time: 32.77 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 19×10148+719

### c135

name 名前 Sinkiti Sibata June 15, 2008 01:56:22 UTC 2008 年 6 月 15 日 (日) 10 時 56 分 22 秒 (日本時間) `153876605963533264497237871153137488274836088714222638533355576644654978814571391424895423745228899363662939247215583153132173003687803<135>` ```1665401849509587677728439136819520339<37> 396630940851504929651395216684056457143555288557<48> 232952280196970654163617482290594633816545512331261<51>``` ```Number: 21119_148 N=153876605963533264497237871153137488274836088714222638533355576644654978814571391424895423745228899363662939247215583153132173003687803 ( 135 digits) SNFS difficulty: 149 digits. Divisors found: r1=1665401849509587677728439136819520339 (pp37) r2=396630940851504929651395216684056457143555288557 (pp48) r3=232952280196970654163617482290594633816545512331261 (pp51) Version: GGNFS-0.77.1-20060513-k8 Total time: 41.46 hours. Scaled time: 83.04 units (timescale=2.003). Factorization parameters were as follows: name: 21119_148 n: 153876605963533264497237871153137488274836088714222638533355576644654978814571391424895423745228899363662939247215583153132173003687803 m: 100000000000000000000000000000 c5: 19000 c0: 71 skew: 0.33 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, 5650001) Primes: RFBsize:114155, AFBsize:114198, largePrimes:3268956 encountered Relations: rels:3440669, finalFF:266667 Max relations in full relation-set: 28 Initial matrix: 228420 x 266667 with sparse part having weight 36402146. Pruned matrix : 218879 x 220085 with weight 29047573. Total sieving time: 40.45 hours. Total relation processing time: 0.18 hours. Matrix solve time: 0.70 hours. Time per square root: 0.12 hours. Prototype def-par.txt line would be: snfs,149,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000 total time: 41.46 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 19×10151+719

### c131

name 名前 Sinkiti Sibata June 15, 2008 21:42:59 UTC 2008 年 6 月 16 日 (月) 6 時 42 分 59 秒 (日本時間) `30299554022614350384504348767263079177531164143037702442023852003276625984676290612901044365561203878923175331353497936833698384581<131>` ```123898729947282037215260261192283618233521<42> 244550965417535587962509097180011853513331875232412883300691306397524357045415864687563861<90>``` ```Number: 21119_151 N=30299554022614350384504348767263079177531164143037702442023852003276625984676290612901044365561203878923175331353497936833698384581 ( 131 digits) SNFS difficulty: 152 digits. Divisors found: r1=123898729947282037215260261192283618233521 (pp42) r2=244550965417535587962509097180011853513331875232412883300691306397524357045415864687563861 (pp90) Version: GGNFS-0.77.1-20060513-k8 Total time: 35.56 hours. Scaled time: 70.79 units (timescale=1.991). Factorization parameters were as follows: name: 21119_151 n: 30299554022614350384504348767263079177531164143037702442023852003276625984676290612901044365561203878923175331353497936833698384581 m: 1000000000000000000000000000000 c5: 190 c0: 71 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, 2500001) Primes: RFBsize:176302, AFBsize:176344, largePrimes:5725559 encountered Relations: rels:5654649, finalFF:438134 Max relations in full relation-set: 28 Initial matrix: 352713 x 438134 with sparse part having weight 46113828. Pruned matrix : 323557 x 325384 with weight 31379717. Total sieving time: 33.71 hours. Total relation processing time: 0.15 hours. Matrix solve time: 1.52 hours. Time per square root: 0.17 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: 35.56 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 19×10152+719

### c145

name 名前 Sinkiti Sibata June 16, 2008 21:34:12 UTC 2008 年 6 月 17 日 (火) 6 時 34 分 12 秒 (日本時間) `4268621886005792021144542126464362252040163679003165895314335328381610626839328108400852990174236765408001271564047120580100681827647844634528873<145>` ```4901819949628641796466086337480125061060531270983<49> 870823883755497713499331899758122000845092549202887776729665908427056553088983618255881653274831<96>``` ```Number: 21119_152 N=4268621886005792021144542126464362252040163679003165895314335328381610626839328108400852990174236765408001271564047120580100681827647844634528873 ( 145 digits) SNFS difficulty: 153 digits. Divisors found: r1=4901819949628641796466086337480125061060531270983 (pp49) r2=870823883755497713499331899758122000845092549202887776729665908427056553088983618255881653274831 (pp96) Version: GGNFS-0.77.1-20060513-k8 Total time: 35.70 hours. Scaled time: 71.08 units (timescale=1.991). Factorization parameters were as follows: name: 21119_152 n: 4268621886005792021144542126464362252040163679003165895314335328381610626839328108400852990174236765408001271564047120580100681827647844634528873 m: 1000000000000000000000000000000 c5: 1900 c0: 71 skew: 0.52 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, 2500001) Primes: RFBsize:176302, AFBsize:176824, largePrimes:5811367 encountered Relations: rels:5835518, finalFF:527410 Max relations in full relation-set: 28 Initial matrix: 353193 x 527410 with sparse part having weight 54511221. Pruned matrix : 293898 x 295727 with weight 31266050. Total sieving time: 33.99 hours. Total relation processing time: 0.16 hours. Matrix solve time: 1.40 hours. Time per square root: 0.14 hours. Prototype def-par.txt line would be: snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 35.70 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 19×10153+719

### c133

name 名前 Sinkiti Sibata June 20, 2008 06:09:25 UTC 2008 年 6 月 20 日 (金) 15 時 9 分 25 秒 (日本時間) `3534111301396561829241944371109709550951878020320586502879799576712460981422857149193925613075150874769889794783911449876155375903171<133>` ```2330871598302278901853376041628293375034044869755858891<55> 1516218784411238460729939570299747737958774664936753931542252342962491493263081<79>``` ```Number: 21119_153 N=3534111301396561829241944371109709550951878020320586502879799576712460981422857149193925613075150874769889794783911449876155375903171 ( 133 digits) SNFS difficulty: 154 digits. Divisors found: r1=2330871598302278901853376041628293375034044869755858891 (pp55) r2=1516218784411238460729939570299747737958774664936753931542252342962491493263081 (pp79) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 55.24 hours. Scaled time: 37.23 units (timescale=0.674). Factorization parameters were as follows: name: 21119_153 n: 3534111301396561829241944371109709550951878020320586502879799576712460981422857149193925613075150874769889794783911449876155375903171 m: 1000000000000000000000000000000 c5: 19000 c0: 71 skew: 0.33 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, 2700001) Primes: RFBsize:176302, AFBsize:176259, largePrimes:5780933 encountered Relations: rels:5751272, finalFF:468492 Max relations in full relation-set: 28 Initial matrix: 352628 x 468492 with sparse part having weight 49607110. Pruned matrix : 312585 x 314412 with weight 31405699. Total sieving time: 50.22 hours. Total relation processing time: 0.31 hours. Matrix solve time: 4.53 hours. Time per square root: 0.18 hours. Prototype def-par.txt line would be: snfs,154,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 55.24 hours. --------- CPU info (if available) ----------``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

## 19×10154+719

### c130

name 名前 Robert Backstrom June 19, 2008 14:23:35 UTC 2008 年 6 月 19 日 (木) 23 時 23 分 35 秒 (日本時間) `3286507595284397990244440725109649136011496454300802589054816534378305641090379440018700033067620390985386802795054882189796354681<130>` ```1791677943138389668968679508662606052300273107<46> 1834318275709524259788133515195304765934811811430526130176162937982551937357179892483<85>``` ```Number: n N=3286507595284397990244440725109649136011496454300802589054816534378305641090379440018700033067620390985386802795054882189796354681 ( 130 digits) SNFS difficulty: 156 digits. Divisors found: Fri Jun 20 00:19:02 2008 prp46 factor: 1791677943138389668968679508662606052300273107 Fri Jun 20 00:19:02 2008 prp85 factor: 1834318275709524259788133515195304765934811811430526130176162937982551937357179892483 Fri Jun 20 00:19:02 2008 elapsed time 00:29:43 (Msieve 1.36) Version: GGNFS-0.77.1-20051202-athlon Total time: 23.65 hours. Scaled time: 43.12 units (timescale=1.823). Factorization parameters were as follows: name: KA_2_1_153_9 n: 3286507595284397990244440725109649136011496454300802589054816534378305641090379440018700033067620390985386802795054882189796354681 skew: 2.06 deg: 5 c5: 19 c0: 710 m: 10000000000000000000000000000000 type: snfs rlim: 1500000 alim: 1500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 1800311) Primes: RFBsize:114155, AFBsize:114373, largePrimes:7133643 encountered Relations: rels:6460420, finalFF:245971 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 23.49 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,156,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,100000 total time: 23.65 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+```

## 19×10157+719

### c141

name 名前 Robert Backstrom June 18, 2008 04:45:45 UTC 2008 年 6 月 18 日 (水) 13 時 45 分 45 秒 (日本時間) `955522886778041600093440240348014365106179622949600182179310014977255835521154610734965233983597443817269068745577149968079675757884258981031<141>` ```77929169194250521052812225269081813650033303291080915556048887978241<68> 12261427866582958791184193364468933936256879057608293595733557701239457191<74>``` ```Number: n N=955522886778041600093440240348014365106179622949600182179310014977255835521154610734965233983597443817269068745577149968079675757884258981031 ( 141 digits) SNFS difficulty: 158 digits. Divisors found: Wed Jun 18 10:38:00 2008 prp68 factor: 77929169194250521052812225269081813650033303291080915556048887978241 Wed Jun 18 10:38:00 2008 prp74 factor: 12261427866582958791184193364468933936256879057608293595733557701239457191 Wed Jun 18 10:38:00 2008 elapsed time 01:11:42 (Msieve 1.36) Version: GGNFS-0.77.1-20051202-athlon Total time: 35.86 hours. Scaled time: 51.68 units (timescale=1.441). Factorization parameters were as follows: name: KA_2_1_156_9 n: 955522886778041600093440240348014365106179622949600182179310014977255835521154610734965233983597443817269068745577149968079675757884258981031 skew: 0.52 deg: 5 c5: 1900 c0: 71 m: 10000000000000000000000000000000 type: snfs rlim: 3000000 alim: 3000000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 1800167) Primes: RFBsize:216816, AFBsize:217002, largePrimes:7060869 encountered Relations: rels:6477932, finalFF:461756 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 35.65 hours. Total relation processing time: 0.21 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000 total time: 35.86 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+```

## 19×10158+719

### c139

name 名前 Robert Backstrom June 19, 2008 08:46:37 UTC 2008 年 6 月 19 日 (木) 17 時 46 分 37 秒 (日本時間) `1603444575628166296323850859232332205498429149271953164507338103129857597627597826527727616013810322286400015061749747416092265207180448049<139>` ```1552232375168401888226285240732768948412176616299065734638659<61> 1032992611981958171657311747096309357508297728486040740667074691813325998649211<79>``` ```Number: n N=1603444575628166296323850859232332205498429149271953164507338103129857597627597826527727616013810322286400015061749747416092265207180448049 ( 139 digits) SNFS difficulty: 159 digits. Divisors found: Thu Jun 19 18:40:36 2008 prp61 factor: 1552232375168401888226285240732768948412176616299065734638659 Thu Jun 19 18:40:36 2008 prp79 factor: 1032992611981958171657311747096309357508297728486040740667074691813325998649211 Thu Jun 19 18:40:36 2008 elapsed time 01:19:33 (Msieve 1.36) Version: GGNFS-0.77.1-20051202-athlon Total time: 48.30 hours. Scaled time: 84.96 units (timescale=1.759). Factorization parameters were as follows: name: KA_2_1_157_9 n: 1603444575628166296323850859232332205498429149271953164507338103129857597627597826527727616013810322286400015061749747416092265207180448049 type: snfs skew: 0.33 deg: 5 c5: 19000 c0: 71 m: 10000000000000000000000000000000 rlim: 2800000 alim: 2800000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 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, 2500213) Primes: RFBsize:203362, AFBsize:203478, largePrimes:7041615 encountered Relations: rels:6395775, finalFF:429719 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 48.07 hours. Total relation processing time: 0.23 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,159,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.3,2.3,100000 total time: 48.30 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+```

## 19×10159+719

### c137

name 名前 Robert Backstrom June 26, 2008 04:29:17 UTC 2008 年 6 月 26 日 (木) 13 時 29 分 17 秒 (日本時間) `21527588851111722002830557879225910998694697479830930289731614802312922945498898793081333700260607997346333469572376218484361244054644837<137>` ```250401041858585819131096746756630366154245800973610054933853193899<66> 85972441214000396829052981243585775513440893313292234278082838842690863<71>``` ```Number: n N=21527588851111722002830557879225910998694697479830930289731614802312922945498898793081333700260607997346333469572376218484361244054644837 ( 137 digits) SNFS difficulty: 161 digits. Divisors found: Thu Jun 26 14:22:48 2008 prp66 factor: 250401041858585819131096746756630366154245800973610054933853193899 Thu Jun 26 14:22:48 2008 prp71 factor: 85972441214000396829052981243585775513440893313292234278082838842690863 Thu Jun 26 14:22:48 2008 elapsed time 01:04:02 (Msieve 1.36) Version: GGNFS-0.77.1-20051202-athlon Total time: 32.37 hours. Scaled time: 59.20 units (timescale=1.829). Factorization parameters were as follows: name: KA_2_1_158_9 n: 21527588851111722002830557879225910998694697479830930289731614802312922945498898793081333700260607997346333469572376218484361244054644837 skew: 2.06 deg: 5 c5: 19 c0: 710 m: 100000000000000000000000000000000 type: snfs rlim: 4200000 alim: 4200000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 4200000/4200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 2100097) Primes: RFBsize:296314, AFBsize:296187, largePrimes:7325398 encountered Relations: rels:6841474, finalFF:613001 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 32.20 hours. Total relation processing time: 0.17 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,4200000,4200000,28,28,48,48,2.5,2.5,100000 total time: 32.37 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+```

## 19×10160+719

### c137

name 名前 Robert Backstrom June 27, 2008 07:20:36 UTC 2008 年 6 月 27 日 (金) 16 時 20 分 36 秒 (日本時間) `23956883709415985088805146185238519992526664677894688593124161720632613338572606501599381490541484980237314702722541489720018966486199461<137>` ```3099176592679107542715695147437752731506212235694176436016316355489<67> 7730080230344753874735172128135993331930898349569035397737365097724549<70>``` ```Number: n N=23956883709415985088805146185238519992526664677894688593124161720632613338572606501599381490541484980237314702722541489720018966486199461 ( 137 digits) SNFS difficulty: 161 digits. Divisors found: Fri Jun 27 00:53:52 2008 prp67 factor: 3099176592679107542715695147437752731506212235694176436016316355489 Fri Jun 27 00:53:52 2008 prp70 factor: 7730080230344753874735172128135993331930898349569035397737365097724549 Fri Jun 27 00:53:52 2008 elapsed time 01:43:21 (Msieve 1.36) Version: GGNFS-0.77.1-20051202-athlon Total time: 48.04 hours. Scaled time: 84.50 units (timescale=1.759). Factorization parameters were as follows: name: KA_2_1_159_9 n: 23956883709415985088805146185238519992526664677894688593124161720632613338572606501599381490541484980237314702722541489720018966486199461 type: snfs skew: 1.30 deg: 5 c5: 19 c0: 71 m: 100000000000000000000000000000000 rlim: 4200000 alim: 4200000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 4200000/4200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 2300131) Primes: RFBsize:296314, AFBsize:296822, largePrimes:7204240 encountered Relations: rels:6697074, finalFF:620996 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 47.72 hours. Total relation processing time: 0.33 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,4200000,4200000,28,28,48,48,2.3,2.3,100000 total time: 48.04 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+```

## 19×10161+719

### c159

name 名前 Robert Backstrom June 18, 2008 11:22:19 UTC 2008 年 6 月 18 日 (水) 20 時 22 分 19 秒 (日本時間) `868770004572473708276177411979881115683584819387288523090992226794695930498399634202103337905807041609510745313214449016918152720621856424325560128029263831733<159>` ```286786067147872235350150512053<30> 112622410320040502526431761387219772249611150037774127671<57> 26898121553328486879024622069541410307556323510188262663095503894721747591<74>``` ```GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM] Input number is 868770004572473708276177411979881115683584819387288523090992226794695930498399634202103337905807041609510745313214449016918152720621856424325560128029263831733 (159 digits) Using B1=356000, B2=215197720, polynomial Dickson(3), sigma=2875533569 Step 1 took 4531ms Step 2 took 2141ms ********** Factor found in step 2: 286786067147872235350150512053 Found probable prime factor of 30 digits: 286786067147872235350150512053 Composite cofactor 3029331282417286052913425605800649802144685572686579710389061333460545261055441205830769603801466446700995622384536686522670690561 has 130 digits Number: n N=3029331282417286052913425605800649802144685572686579710389061333460545261055441205830769603801466446700995622384536686522670690561 ( 130 digits) SNFS difficulty: 162 digits. Divisors found: Wed Jun 18 21:16:51 2008 prp57 factor: 112622410320040502526431761387219772249611150037774127671 Wed Jun 18 21:16:51 2008 prp74 factor: 26898121553328486879024622069541410307556323510188262663095503894721747591 Wed Jun 18 21:16:51 2008 elapsed time 01:28:47 (Msieve 1.36) Version: GGNFS-0.77.1-20051202-athlon Total time: 47.58 hours. Scaled time: 87.02 units (timescale=1.829). Factorization parameters were as follows: name: KA_2_1_160_9 n: 3029331282417286052913425605800649802144685572686579710389061333460545261055441205830769603801466446700995622384536686522670690561 skew: 0.82 deg: 5 c5: 190 c0: 71 m: 100000000000000000000000000000000 type: snfs rlim: 3000000 alim: 3000000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 3300203) Primes: RFBsize:216816, AFBsize:216642, largePrimes:7501597 encountered Relations: rels:6884203, finalFF:446447 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 47.36 hours. Total relation processing time: 0.22 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,162,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000 total time: 47.58 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+```

## 19×10162+719

### c161

name 名前 Robert Backstrom June 23, 2008 17:40:11 UTC 2008 年 6 月 24 日 (火) 2 時 40 分 11 秒 (日本時間) `28919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193303<161>` ```43940526090123600470562056510603<32> 73998714678262655889943985399989215015429575850397477288273<59> 8894034356803247423111327983734140548254674728357494938725391032087637<70>``` ```GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM] Input number is 28919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193303 (161 digits) Using B1=974000, B2=871244232, polynomial Dickson(3), sigma=3220374105 Step 1 took 12328ms Step 2 took 5031ms ********** Factor found in step 2: 43940526090123600470562056510603 Found probable prime factor of 32 digits: 43940526090123600470562056510603 Composite cofactor 658147110707748824755832441227848690652084205220911259328710039673874479237845455658772436193296458069020869661212196684848380901 has 129 digits Number: n N=658147110707748824755832441227848690652084205220911259328710039673874479237845455658772436193296458069020869661212196684848380901 ( 129 digits) SNFS difficulty: 163 digits. Divisors found: Tue Jun 24 03:33:39 2008 prp59 factor: 73998714678262655889943985399989215015429575850397477288273 Tue Jun 24 03:33:39 2008 prp70 factor: 8894034356803247423111327983734140548254674728357494938725391032087637 Tue Jun 24 03:33:39 2008 elapsed time 01:05:25 (Msieve 1.36) Version: GGNFS-0.77.1-20051202-athlon Total time: 43.80 hours. Scaled time: 80.10 units (timescale=1.829). Factorization parameters were as follows: name: KA_2_1_161_9 n: 658147110707748824755832441227848690652084205220911259328710039673874479237845455658772436193296458069020869661212196684848380901 skew: 0.52 deg: 5 c5: 1900 c0: 71 m: 100000000000000000000000000000000 type: snfs rlim: 4500000 alim: 4500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 4500000/4500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 3000299) Primes: RFBsize:315948, AFBsize:316312, largePrimes:7290029 encountered Relations: rels:6865799, finalFF:650394 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 43.52 hours. Total relation processing time: 0.28 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,163,5,0,0,0,0,0,0,0,0,4500000,4500000,28,28,48,48,2.5,2.5,100000 total time: 43.80 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+```

## 19×10163+719

### c133

name 名前 Robert Backstrom July 12, 2008 18:28:52 UTC 2008 年 7 月 13 日 (日) 3 時 28 分 52 秒 (日本時間) `6347216490610783077441171781434338047436822507152466738398464557918916343716774041846421465798549105708434295220219648071786733422107<133>` ```1702357182418622530789291597341299637631432288875092672261013494321<67> 3728486921641779431391217242278242452352917616981245286538949510667<67>``` ```Number: n N=6347216490610783077441171781434338047436822507152466738398464557918916343716774041846421465798549105708434295220219648071786733422107 ( 133 digits) SNFS difficulty: 164 digits. Divisors found: Sun Jul 13 04:05:21 2008 prp67 factor: 1702357182418622530789291597341299637631432288875092672261013494321 Sun Jul 13 04:05:21 2008 prp67 factor: 3728486921641779431391217242278242452352917616981245286538949510667 Sun Jul 13 04:05:21 2008 elapsed time 02:59:59 (Msieve 1.36) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 86.99 hours. Scaled time: 113.78 units (timescale=1.308). Factorization parameters were as follows: name: KA_2_1_162_9 n: 6347216490610783077441171781434338047436822507152466738398464557918916343716774041846421465798549105708434295220219648071786733422107 skew: 0.33 deg: 5 c5: 19000 c0: 71 m: 100000000000000000000000000000000 type: snfs rlim: 4600000 alim: 4600000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 4600000/4600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 5700001) Primes: RFBsize:322441, AFBsize:322667, largePrimes:8115761 encountered Relations: rels:7560077, finalFF:650072 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 86.72 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,164,5,0,0,0,0,0,0,0,0,4600000,4600000,28,28,48,48,2.5,2.5,100000 total time: 86.99 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+```

## 19×10164+719

### c134

name 名前 Serge Batalov July 9, 2008 21:08:18 UTC 2008 年 7 月 10 日 (木) 6 時 8 分 18 秒 (日本時間) `45469698908481199516727249124846049133783177271867124530465321077300054016404482853634631520144827560167514096151705840653303648529847<134>` ```6742027040094211846211453572461118212957579443337461963393<58> 6744217820260450083366667566814032486869788470472656779231418088265090202679<76>``` ```Number: 21119_164 N=45469698908481199516727249124846049133783177271867124530465321077300054016404482853634631520144827560167514096151705840653303648529847 ( 134 digits) SNFS difficulty: 166 digits. Divisors found: r1=6742027040094211846211453572461118212957579443337461963393 r2=6744217820260450083366667566814032486869788470472656779231418088265090202679 Version: Total time: 28.00 hours. Scaled time: 82.656 units (timescale=2.952). Factorization parameters were as follows: n: 45469698908481199516727249124846049133783177271867124530465321077300054016404482853634631520144827560167514096151705840653303648529847 Y0: -1000000000000000000000000000000000 Y1: 1 c5: 19 c0: 710 skew: 2.06 type: snfs Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2500000, 4600001) Primes: rational ideals filtering, algebraic ideals filtering, Relations: 10573189 relations Max relations in full relation-set: 9708274 relations and about 9462589 large ideals Initial matrix: 866332 x 866551 (261.2 MB) with weight 83061728 (95.85/col) Pruned matrix : 860767 x 861015 (249.7 MB) with weight 63635070 (73.91/col) Total sieving time: 25.00 hours. Matrix solve time: 02:44:00. Time per square root: 00:09:52. Prototype def-par.txt line would be: snfs,166,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.5,2.5,100000 total time: 28.00 hours. --------- CPU info (if available) ---------- Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init) Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618) Total time: 28.00 hours.``` `Msieve 1.36` `Opteron-2.8GHz; Linux x86_64`

## 19×10166+719

### c132

name 名前 Robert Backstrom July 20, 2008 04:25:23 UTC 2008 年 7 月 20 日 (日) 13 時 25 分 23 秒 (日本時間) `151888285517697453349404132924871468767777805685695965312726172612353451929406967016381249252832945080495001996679890790773409019227<132>` ```301435271504692523257664371180080720857128869883045784752185487<63> 503883585883986267026777603663420832974904119028443835373022979452021<69>``` ```Number: n N=151888285517697453349404132924871468767777805685695965312726172612353451929406967016381249252832945080495001996679890790773409019227 ( 132 digits) SNFS difficulty: 167 digits. Divisors found: Sun Jul 20 14:20:37 2008 prp63 factor: 301435271504692523257664371180080720857128869883045784752185487 Sun Jul 20 14:20:37 2008 prp69 factor: 503883585883986267026777603663420832974904119028443835373022979452021 Sun Jul 20 14:20:37 2008 elapsed time 02:27:03 (Msieve 1.36) Version: GGNFS-0.77.1-20051202-athlon Total time: 58.26 hours. Scaled time: 106.55 units (timescale=1.829). Factorization parameters were as follows: name: KA_2_1_165_9 n: 151888285517697453349404132924871468767777805685695965312726172612353451929406967016381249252832945080495001996679890790773409019227 skew: 0.82 deg: 5 c5: 190 c0: 71 m: 1000000000000000000000000000000000 type: snfs rlim: 5200000 alim: 5200000 lpbr: 28 lpba: 28 mfbr: 50 mfba: 50 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 5200000/5200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 50/50 Sieved special-q in [100000, 3600000) Primes: RFBsize:361407, AFBsize:361798, largePrimes:10438565 encountered Relations: rels:10034059, finalFF:839198 Max relations in full relation-set: 28 Initial matrix: 723272 x 839198 with sparse part having weight 83825767. Pruned matrix : 631948 x 635628 with weight 56173117. Total sieving time: 57.88 hours. Total relation processing time: 0.37 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,167,5,0,0,0,0,0,0,0,0,5200000,5200000,28,28,50,50,2.5,2.5,100000 total time: 58.26 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+```

## 19×10167+719

### c159

name 名前 Robert Backstrom June 16, 2008 08:16:08 UTC 2008 年 6 月 16 日 (月) 17 時 16 分 8 秒 (日本時間) `133224028178890697708681965758845400603728229286676076401782104364682575091332750980674990649652299839425226083593134509865199424615266849874400940391168281227<159>` ```10766075811599655430741404354340972913661347<44> 12374427833338457331814433209166661760078812457314883748540314012065840097373485608599199199387260515247162077378041<116>``` ```GMP-ECM 6.2.1 [powered by GMP 4.1.4] [ECM] Input number is 133224028178890697708681965758845400603728229286676076401782104364682575091332750980674990649652299839425226083593134509865199424615266849874400940391168281227 (159 digits) Using B1=3266000, B2=5707206970, polynomial Dickson(6), sigma=403620968 Step 1 took 57640ms Step 2 took 21360ms ********** Factor found in step 2: 10766075811599655430741404354340972913661347 Found probable prime factor of 44 digits: 10766075811599655430741404354340972913661347 Probable prime cofactor 12374427833338457331814433209166661760078812457314883748540314012065840097373485608599199199387260515247162077378041 has 116 digits```

## 19×10169+719

### c143

name 名前 Robert Backstrom June 22, 2009 04:00:46 UTC 2009 年 6 月 22 日 (月) 13 時 0 分 46 秒 (日本時間) `47456818234849384485919149010234197237043999182472042017612061274694520497973354897231898436283664885858051334911013044250936917790809933381231<143>` ```5953901394817602332266795990080373<34> 7970709470626566079289325522510715490264808474915393724092566519897218412184343046077211774275868043748116947<109>``` ```GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM] Input number is 47456818234849384485919149010234197237043999182472042017612061274694520497973354897231898436283664885858051334911013044250936917790809933381231 (143 digits) Using B1=1792000, B2=2140281790, polynomial Dickson(6), sigma=4224226140 Step 1 took 24913ms Step 2 took 8362ms ********** Factor found in step 2: 5953901394817602332266795990080373 Found probable prime factor of 34 digits: 5953901394817602332266795990080373 Probable prime cofactor 7970709470626566079289325522510715490264808474915393724092566519897218412184343046077211774275868043748116947 has 109 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)

## 19×10170+719

### c143

name 名前 Jo Yeong Uk September 10, 2009 23:09:11 UTC 2009 年 9 月 11 日 (金) 8 時 9 分 11 秒 (日本時間) `10482528762203222779447796871500280565529891335012482902432438626124840006434825907390863943724652265498027597009542119289264411940490195729907<143>` ```1472916625511933818304086346266260652139237503<46> 7116851409399948800992630964973514929835328139534602203013552485803304887760559036954951326947469<97>``` ```Number: 21119_170 N=10482528762203222779447796871500280565529891335012482902432438626124840006434825907390863943724652265498027597009542119289264411940490195729907 ( 143 digits) SNFS difficulty: 171 digits. Divisors found: r1=1472916625511933818304086346266260652139237503 r2=7116851409399948800992630964973514929835328139534602203013552485803304887760559036954951326947469 Version: Total time: 41.40 hours. Scaled time: 98.74 units (timescale=2.385). Factorization parameters were as follows: n: 10482528762203222779447796871500280565529891335012482902432438626124840006434825907390863943724652265498027597009542119289264411940490195729907 m: 10000000000000000000000000000000000 deg: 5 c5: 19 c0: 71 skew: 1.30 type: snfs lss: 1 rlim: 6000000 alim: 6000000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 6000000/6000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [3000000, 6100001) Primes: rational ideals reading, algebraic ideals reading, Relations: 11129718 Max relations in full relation-set: Initial matrix: Pruned matrix : 1061046 x 1061293 Total sieving time: 36.83 hours. Total relation processing time: 1.69 hours. Matrix solve time: 2.61 hours. Time per square root: 0.27 hours. Prototype def-par.txt line would be: snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.4,2.4,100000 total time: 41.40 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init) Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673799) Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672387) Calibrating delay using timer specific routine.. 5344.57 BogoMIPS (lpj=2672286) Calibrating delay using timer specific routine.. 5237.81 BogoMIPS (lpj=2618908)``` `GGNFS / Msieve v1.39` `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 KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkJuly 21, 2009 05:33:58 UTC 2009 年 7 月 21 日 (火) 14 時 33 分 58 秒 (日本時間)

## 19×10171+719

### c157

name 名前 Markus Tervooren November 3, 2009 18:11:47 UTC 2009 年 11 月 4 日 (水) 3 時 11 分 47 秒 (日本時間) `3444590720796534891970900366617273075288864508894370522444950161612774095027857693356068550244426897682148456369374381691702403566455224593338052625372309739<157>` ```36770347511060861410054629572166650094512885628335317<53> 93678492425462393852818727293289502166124539235947642213770088451030209181339994735034641839970928805567<104>``` ```Sieving: ~200M Rels @ 0.00076secs/rel, 43 Hours total rlim: 12000000 alim: 12000000 lpbr: 33 lpba: 33 mfbr: 65 mfba: 65 rlambda: 2.6 alambda: 2.6 Msieve v. 1.43 Tue Nov 3 13:48:17 2009 random seeds: dc994ee7 1f3797af factoring 3444590720796534891970900366617273075288864508894370522444950161612774095027857693356068550244426897682148456369374381691702403566455224593338052625372309739 (157 digits) searching for 15-digit factors commencing number field sieve (157-digit input) R0: -10000000000000000000000000000000000 R1: 1 A0: 71 A1: 0 A2: 0 A3: 0 A4: 0 A5: 190 skew 0.82, size 2.796412e-12, alpha 1.603695, combined = 1.575994e-10 commencing relation filtering estimated available RAM is 8010.2 MB commencing duplicate removal, pass 1 error -11 reading relation 42019041 error -9 reading relation 83306597 error -11 reading relation 141242284 error -6 reading relation 141242342 error -11 reading relation 141242368 error -11 reading relation 141242384 error -6 reading relation 141242387 error -6 reading relation 141242425 error -6 reading relation 141242455 error -11 reading relation 141242501 error -11 reading relation 141242542 error -11 reading relation 141242553 error -11 reading relation 180726972 error -11 reading relation 180727060 error -11 reading relation 180727075 error -11 reading relation 180727116 error -11 reading relation 180727119 error -11 reading relation 180727135 error -11 reading relation 180727207 error -6 reading relation 180727245 error -11 reading relation 180727254 error -11 reading relation 180727292 error -6 reading relation 180749356 error -11 reading relation 180749523 error -11 reading relation 189285988 error -11 reading relation 189286082 error -11 reading relation 189286097 error -6 reading relation 189286104 error -11 reading relation 189286184 error -11 reading relation 189286215 error -6 reading relation 197048646 error -6 reading relation 197048659 found 19055345 hash collisions in 203204031 relations commencing duplicate removal, pass 2 found 12204124 duplicates and 190999907 unique relations memory use: 788.8 MB reading ideals above 47775744 commencing singleton removal, initial pass memory use: 6024.0 MB reading all ideals from disk memory use: 3283.9 MB commencing in-memory singleton removal begin with 190999907 relations and 224304224 unique ideals reduce to 35532778 relations and 23616995 ideals in 21 passes max relations containing the same ideal: 23 reading ideals above 720000 commencing singleton removal, initial pass memory use: 753.0 MB reading all ideals from disk memory use: 1144.1 MB keeping 29131945 ideals with weight <= 200, target excess is 228616 commencing in-memory singleton removal begin with 35532778 relations and 29131945 unique ideals reduce to 35435748 relations and 29034868 ideals in 17 passes max relations containing the same ideal: 200 removing 3757157 relations and 3357157 ideals in 400000 cliques commencing in-memory singleton removal begin with 31678591 relations and 29034868 unique ideals reduce to 31452550 relations and 25448201 ideals in 9 passes max relations containing the same ideal: 193 removing 2631341 relations and 2231341 ideals in 400000 cliques commencing in-memory singleton removal begin with 28821209 relations and 25448201 unique ideals reduce to 28692432 relations and 23086444 ideals in 8 passes max relations containing the same ideal: 189 removing 2262214 relations and 1862214 ideals in 400000 cliques commencing in-memory singleton removal begin with 26430218 relations and 23086444 unique ideals reduce to 26326344 relations and 21119040 ideals in 7 passes max relations containing the same ideal: 180 removing 2053924 relations and 1653924 ideals in 400000 cliques commencing in-memory singleton removal begin with 24272420 relations and 21119040 unique ideals reduce to 24181657 relations and 19373112 ideals in 8 passes max relations containing the same ideal: 173 removing 1904878 relations and 1504878 ideals in 400000 cliques commencing in-memory singleton removal begin with 22276779 relations and 19373112 unique ideals reduce to 22189508 relations and 17779698 ideals in 7 passes max relations containing the same ideal: 162 removing 1798573 relations and 1398573 ideals in 400000 cliques commencing in-memory singleton removal begin with 20390935 relations and 17779698 unique ideals reduce to 20304028 relations and 16292889 ideals in 7 passes max relations containing the same ideal: 153 removing 1716636 relations and 1316636 ideals in 400000 cliques commencing in-memory singleton removal begin with 18587392 relations and 16292889 unique ideals reduce to 18505170 relations and 14892697 ideals in 6 passes max relations containing the same ideal: 148 removing 1648470 relations and 1248470 ideals in 400000 cliques commencing in-memory singleton removal begin with 16856700 relations and 14892697 unique ideals reduce to 16772185 relations and 13558246 ideals in 7 passes max relations containing the same ideal: 143 removing 1586891 relations and 1186891 ideals in 400000 cliques commencing in-memory singleton removal begin with 15185294 relations and 13558246 unique ideals reduce to 15093866 relations and 12278107 ideals in 6 passes max relations containing the same ideal: 134 removing 1541129 relations and 1141129 ideals in 400000 cliques commencing in-memory singleton removal begin with 13552737 relations and 12278107 unique ideals reduce to 13458160 relations and 11040351 ideals in 6 passes max relations containing the same ideal: 131 removing 1498638 relations and 1098638 ideals in 400000 cliques commencing in-memory singleton removal begin with 11959522 relations and 11040351 unique ideals reduce to 11854632 relations and 9834292 ideals in 7 passes max relations containing the same ideal: 119 removing 1469127 relations and 1069127 ideals in 400000 cliques commencing in-memory singleton removal begin with 10385505 relations and 9834292 unique ideals reduce to 10270302 relations and 8646644 ideals in 8 passes max relations containing the same ideal: 105 removing 1437254 relations and 1037254 ideals in 400000 cliques commencing in-memory singleton removal begin with 8833048 relations and 8646644 unique ideals reduce to 8699917 relations and 7471726 ideals in 7 passes max relations containing the same ideal: 91 removing 1420498 relations and 1020498 ideals in 400000 cliques commencing in-memory singleton removal begin with 7279419 relations and 7471726 unique ideals reduce to 7131989 relations and 6298123 ideals in 8 passes max relations containing the same ideal: 80 removing 1400326 relations and 1000326 ideals in 400000 cliques commencing in-memory singleton removal begin with 5731663 relations and 6298123 unique ideals reduce to 5546349 relations and 5103685 ideals in 9 passes max relations containing the same ideal: 64 removing 757743 relations and 580274 ideals in 177469 cliques commencing in-memory singleton removal begin with 4788606 relations and 5103685 unique ideals reduce to 4717295 relations and 4450118 ideals in 7 passes max relations containing the same ideal: 59 relations with 0 large ideals: 5175 relations with 1 large ideals: 19840 relations with 2 large ideals: 124171 relations with 3 large ideals: 447449 relations with 4 large ideals: 956838 relations with 5 large ideals: 1277456 relations with 6 large ideals: 1118098 relations with 7+ large ideals: 768268 commencing 2-way merge reduce to 2954600 relation sets and 2687423 unique ideals commencing full merge memory use: 304.6 MB found 1500953 cycles, need 1463623 weight of 1463623 cycles is about 102593098 (70.10/cycle) distribution of cycle lengths: 1 relations: 142922 2 relations: 150396 3 relations: 161403 4 relations: 160081 5 relations: 152703 6 relations: 138807 7 relations: 121703 8 relations: 102796 9 relations: 84561 10+ relations: 248251 heaviest cycle: 20 relations commencing cycle optimization start with 8578451 relations pruned 224613 relations memory use: 278.0 MB distribution of cycle lengths: 1 relations: 142922 2 relations: 153537 3 relations: 166845 4 relations: 164248 5 relations: 157743 6 relations: 142321 7 relations: 124060 8 relations: 103421 9 relations: 84487 10+ relations: 224039 heaviest cycle: 19 relations RelProcTime: 5988 commencing linear algebra read 1463623 cycles cycles contain 4542980 unique relations read 4542980 relations using 20 quadratic characters above 4294609058 building initial matrix memory use: 570.6 MB read 1463623 cycles matrix is 1463440 x 1463623 (438.2 MB) with weight 129707074 (88.62/col) sparse part has weight 98784045 (67.49/col) filtering completed in 2 passes matrix is 1461933 x 1462116 (438.1 MB) with weight 129652551 (88.67/col) sparse part has weight 98760802 (67.55/col) read 1462116 cycles matrix is 1461933 x 1462116 (438.1 MB) with weight 129652551 (88.67/col) sparse part has weight 98760802 (67.55/col) saving the first 48 matrix rows for later matrix is 1461885 x 1462116 (414.7 MB) with weight 102322884 (69.98/col) sparse part has weight 94100608 (64.36/col) matrix includes 64 packed rows using block size 65536 for processor cache size 4096 kB commencing Lanczos iteration (4 threads) memory use: 444.3 MB linear algebra at 0.1%, ETA 3h12m462116 dimensions (0.1%, ETA 3h12m) linear algebra completed 1461694 of 1462116 dimensions (100.0%, ETA 0h 0m) 5m) lanczos halted after 23120 iterations (dim = 1461880) recovered 34 nontrivial dependencies BLanczosTime: 11908 commencing square root phase reading relations for dependency 1 read 730527 cycles cycles contain 2268188 unique relations read 2268188 relations multiplying 2268188 relations multiply complete, coefficients have about 70.08 million bits initial square root is modulo 107251 sqrtTime: 758 prp53 factor: 36770347511060861410054629572166650094512885628335317 prp104 factor: 93678492425462393852818727293289502166124539235947642213770088451030209181339994735034641839970928805567 elapsed time 05:10:56```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62500Dmitry DomanovJune 13, 2009 12:18:01 UTC 2009 年 6 月 13 日 (土) 21 時 18 分 1 秒 (日本時間)

## 19×10172+719

### c167

name 名前 Ignacio Santos September 23, 2009 09:38:18 UTC 2009 年 9 月 23 日 (水) 18 時 38 分 18 秒 (日本時間) `50609538619473005538015354934017148109880233858686980802736537662952725629975550265526939856956134581950560873552600491232163800169035858989039838496971285479617274687<167>` ```110527258301512944407034947393828659078821691<45> 457891920936034296955040759482830030956478893226740620438124139533279660951936241323594087842050389692669698370301114641357<123>``` ```Number: 21119_172 N=50609538619473005538015354934017148109880233858686980802736537662952725629975550265526939856956134581950560873552600491232163800169035858989039838496971285479617274687 ( 167 digits) SNFS difficulty: 174 digits. Divisors found: r1=110527258301512944407034947393828659078821691 (pp45) r2=457891920936034296955040759482830030956478893226740620438124139533279660951936241323594087842050389692669698370301114641357 (pp123) Version: Msieve-1.40 Total time: 79.89 hours. Scaled time: 138.92 units (timescale=1.739). Factorization parameters were as follows: n: 50609538619473005538015354934017148109880233858686980802736537662952725629975550265526939856956134581950560873552600491232163800169035858989039838496971285479617274687 m: 20000000000000000000000000000000000 deg: 5 c5: 475 c0: 568 skew: 1.04 type: snfs lss: 1 rlim: 5600000 alim: 5600000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5600000/5600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2800000, 7000001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1106971 x 1107201 Total sieving time: 78.02 hours. Total relation processing time: 0.11 hours. Matrix solve time: 1.61 hours. Time per square root: 0.15 hours. Prototype def-par.txt line would be: snfs,174.000,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000 total time: 79.89 hours.``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiSeptember 17, 2009 11:10:33 UTC 2009 年 9 月 17 日 (木) 20 時 10 分 33 秒 (日本時間)

## 19×10174+719

### c134

name 名前 Warut Roonguthai April 9, 2012 04:27:03 UTC 2012 年 4 月 9 日 (月) 13 時 27 分 3 秒 (日本時間) `17769047185474843637623970984890896396935727808988750004836082180234315419658151427980793876058863476976579263283211388353806416465667<134>` ```2556562396245684442736172507470817459031164911<46> 6950367106849695902421377822824936071855557618967249762947389954560567149944529875236397<88>``` ```N = 17769047185474843637623970984890896396935727808988750004836082180234315419658151427980793876058863476976579263283211388353806416465667 (134 digits) SNFS difficulty: 176 digits. Divisors found: r1=2556562396245684442736172507470817459031164911 (pp46) r2=6950367106849695902421377822824936071855557618967249762947389954560567149944529875236397 (pp88) Version: Msieve v. 1.48 Total time: 31.97 hours. Factorization parameters were as follows: name: (19*10^174+71)/9 n: 17769047185474843637623970984890896396935727808988750004836082180234315419658151427980793876058863476976579263283211388353806416465667 Y0: 100000000000000000000000000000 Y1: -1 c0: 71 c1: 0 c2: 0 c3: 0 c4: 0 c5: 0 c6: 19 skew: 1.25 type: snfs Factor base limits: 6000000/6000000 Large primes per side: 3 Large prime bits: 28/28 Sieved rational special-q in [0, 0) Total raw relations: 19992518 Relations: 2244492 relations Pruned matrix : 1271328 x 1271558 Polynomial selection time: 0.00 hours. Total sieving time: 29.81 hours. Total relation processing time: 0.11 hours. Matrix solve time: 1.99 hours. time per square root: 0.07 hours. Prototype def-par.txt line would be: snfs,176,6,0,0,0,0,0,0,0,0,6000000,6000000,28,28,55,55,2.5,2.5,100000 total time: 31.97 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 KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6410Ignacio SantosApril 24, 2010 17:05:50 UTC 2010 年 4 月 25 日 (日) 2 時 5 分 50 秒 (日本時間)
403e62486150Ignacio SantosApril 24, 2010 17:05:50 UTC 2010 年 4 月 25 日 (日) 2 時 5 分 50 秒 (日本時間)
2336Wataru SakaiApril 25, 2010 06:50:41 UTC 2010 年 4 月 25 日 (日) 15 時 50 分 41 秒 (日本時間)

## 19×10175+719

### c176

name 名前 Jo Yeong Uk June 17, 2008 23:02:49 UTC 2008 年 6 月 18 日 (水) 8 時 2 分 49 秒 (日本時間) `21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119<176>` ```60850084350740294278005008684441134760052865768236487179773355418574426998451693<80> 346936431335518371490342055169677665804525006321550138544617865907161312009720281338190068074283<96>``` ```Number: 21119_175 N=21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119 ( 176 digits) SNFS difficulty: 176 digits. Divisors found: r1=60850084350740294278005008684441134760052865768236487179773355418574426998451693 (pp80) r2=346936431335518371490342055169677665804525006321550138544617865907161312009720281338190068074283 (pp96) Version: GGNFS-0.77.1-20050930-nocona Total time: 155.75 hours. Scaled time: 367.09 units (timescale=2.357). Factorization parameters were as follows: n: 21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119 m: 100000000000000000000000000000000000 c5: 19 c0: 71 skew: 1.3 type: snfs Factor base limits: 8400000/8400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 50/50 Sieved algebraic special-q in [4200000, 7100001) Primes: RFBsize:564877, AFBsize:565827, largePrimes:10879977 encountered Relations: rels:10992982, finalFF:1297142 Max relations in full relation-set: 28 Initial matrix: 1130769 x 1297142 with sparse part having weight 89502042. Pruned matrix : 985530 x 991247 with weight 62042272. Total sieving time: 147.48 hours. Total relation processing time: 0.17 hours. Matrix solve time: 7.98 hours. Time per square root: 0.11 hours. Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,50,50,2.6,2.6,100000 total time: 155.75 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: 8047200k/8912896k available (2440k kernel code, 339088k reserved, 1234k data, 192k init) Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805) Calibrating delay using timer specific routine.. 5344.81 BogoMIPS (lpj=2672409) Calibrating delay using timer specific routine.. 5344.41 BogoMIPS (lpj=2672208) Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672385)``` `Core 2 Quad Q6700`

## 19×10178+719

### c116

name 名前 Sinkiti Sibata June 15, 2008 21:31:02 UTC 2008 年 6 月 16 日 (月) 6 時 31 分 2 秒 (日本時間) `16523860850882892395144792212261432649907044400229056482377148949941650807074754921165115690888775495900605003049413<116>` ```27406547521000446067339104767<29> 602916541684842867507687365160027289170544020368979297591614953242064948580130894740539<87>``` ```Number: 21119_178 N=16523860850882892395144792212261432649907044400229056482377148949941650807074754921165115690888775495900605003049413 ( 116 digits) Divisors found: r1=27406547521000446067339104767 (pp29) r2=602916541684842867507687365160027289170544020368979297591614953242064948580130894740539 (pp87) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 73.94 hours. Scaled time: 49.98 units (timescale=0.676). Factorization parameters were as follows: name: 21119_178 n: 16523860850882892395144792212261432649907044400229056482377148949941650807074754921165115690888775495900605003049413 skew: 40127.03 # norm 7.16e+15 c5: 40080 c4: -7945983226 c3: -232895586882496 c2: 10778743211792435213 c1: 140457272524332146727036 c0: -2681001619694258614734421287 # alpha -5.71 Y1: 2400596004961 Y0: -13275163457864381099522 # Murphy_E 4.83e-10 # M 4699310249935613700118238101142154720824295796173609648981454158679885067087264384430956907404713390557562756410728 type: gnfs rlim: 4500000 alim: 4500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 qintsize: 60000 Factor base limits: 4500000/4500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [2250000, 3630001) Primes: RFBsize:315948, AFBsize:315637, largePrimes:7499982 encountered Relations: rels:7511772, finalFF:737157 Max relations in full relation-set: 28 Initial matrix: 631664 x 737157 with sparse part having weight 56387280. Pruned matrix : 538707 x 541929 with weight 34822728. Polynomial selection time: 3.11 hours. Total sieving time: 56.46 hours. Total relation processing time: 0.53 hours. Matrix solve time: 13.40 hours. Time per square root: 0.44 hours. Prototype def-par.txt line would be: gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000 total time: 73.94 hours. --------- CPU info (if available) ----------``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

## 19×10179+719

### c142

name 名前 Dmitry Domanov May 14, 2013 04:51:43 UTC 2013 年 5 月 14 日 (火) 13 時 51 分 43 秒 (日本時間) `5604861744254553082904194108923132615069902738318492966919792631232035178936085882064031220397686856483266242032689770574122279984152481489113<142>` ```188821310526469173483265722149679159878998320574419371504992219<63> 29683417240496578178284222355374910098517427977881760797463492125768662262196827<80>``` ```N=5604861744254553082904194108923132615069902738318492966919792631232035178936085882064031220397686856483266242032689770574122279984152481489113 ( 142 digits) SNFS difficulty: 180 digits. Divisors found: r1=188821310526469173483265722149679159878998320574419371504992219 (pp63) r2=29683417240496578178284222355374910098517427977881760797463492125768662262196827 (pp80) Version: Msieve v. 1.50 (SVN unknown) Total time: 33.07 hours. Scaled time: 63.26 units (timescale=1.913). Factorization parameters were as follows: n: 5604861744254553082904194108923132615069902738318492966919792631232035178936085882064031220397686856483266242032689770574122279984152481489113 m: 500000000000000000000000000000000000 deg: 5 c5: 304 c0: 355 skew: 1.03 # Murphy_E = 7.685e-11 type: snfs lss: 1 rlim: 7300000 alim: 7300000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 qintsize: 400000 Factor base limits: 7300000/7300000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3650000, 10450001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1433470 x 1433698 Total sieving time: 30.22 hours. Total relation processing time: 0.28 hours. Matrix solve time: 2.28 hours. Time per square root: 0.29 hours. Prototype def-par.txt line would be: snfs,180.000,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000 total time: 33.07 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 KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 13, 2010 22:53:10 UTC 2010 年 10 月 14 日 (木) 7 時 53 分 10 秒 (日本時間)
403e62144110Ignacio SantosOctober 13, 2010 22:53:10 UTC 2010 年 10 月 14 日 (木) 7 時 53 分 10 秒 (日本時間)
2034Wataru SakaiMay 15, 2012 03:00:19 UTC 2012 年 5 月 15 日 (火) 12 時 0 分 19 秒 (日本時間)
4511e632 / 3991Ignacio SantosOctober 13, 2010 22:53:10 UTC 2010 年 10 月 14 日 (木) 7 時 53 分 10 秒 (日本時間)

## 19×10180+719

### c161

name 名前 Dmitry Domanov May 20, 2013 06:17:12 UTC 2013 年 5 月 20 日 (月) 15 時 17 分 12 秒 (日本時間) `16956341936954636823830406671022119473452377421172863927760170636107126124333473680391185710390598114809113096931884293522391598718004503536297511911854826944927<161>` ```1734477077554090182747424647024150661537590084307037644116098441767050325787<76> 9776054210451707895250834539334714982419914330290050550883269068969637375574523958221<85>``` ```N=16956341936954636823830406671022119473452377421172863927760170636107126124333473680391185710390598114809113096931884293522391598718004503536297511911854826944927 ( 161 digits) SNFS difficulty: 181 digits. Divisors found: r1=1734477077554090182747424647024150661537590084307037644116098441767050325787 (pp76) r2=9776054210451707895250834539334714982419914330290050550883269068969637375574523958221 (pp85) Version: Msieve v. 1.50 (SVN unknown) Total time: 122.57 hours. Scaled time: 235.95 units (timescale=1.925). Factorization parameters were as follows: n: 16956341936954636823830406671022119473452377421172863927760170636107126124333473680391185710390598114809113096931884293522391598718004503536297511911854826944927 m: 1000000000000000000000000000000000000 deg: 5 c5: 19 c0: 71 skew: 1.30 # Murphy_E = 8.499e-11 type: snfs lss: 1 rlim: 7400000 alim: 7400000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 qintsize: 400000 Factor base limits: 7400000/7400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3700000, 10100001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1595611 x 1595842 Total sieving time: 119.72 hours. Total relation processing time: 0.20 hours. Matrix solve time: 2.46 hours. Time per square root: 0.18 hours. Prototype def-par.txt line would be: snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000 total time: 122.57 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 KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 00:00:49 UTC 2010 年 10 月 14 日 (木) 9 時 0 分 49 秒 (日本時間)
403e62410110Ignacio SantosOctober 14, 2010 00:00:49 UTC 2010 年 10 月 14 日 (木) 9 時 0 分 49 秒 (日本時間)
2300Warut RoonguthaiFebruary 13, 2013 00:58:53 UTC 2013 年 2 月 13 日 (水) 9 時 58 分 53 秒 (日本時間)
4511e632 / 3932Ignacio SantosOctober 14, 2010 00:00:49 UTC 2010 年 10 月 14 日 (木) 9 時 0 分 49 秒 (日本時間)

## 19×10182+719

### c176

name 名前 Wataru Sakai June 19, 2010 05:13:28 UTC 2010 年 6 月 19 日 (土) 14 時 13 分 28 秒 (日本時間) `18107949358317652563976504916646583521253343049105909040358454291337634505013914863074405954663813387555776891879712170904579655739863029374343759576067363782688863314746095147<176>` ```74415381796309196485502340019663<32> 6948819394157437393825958429058479<34>``` `35018338207362630724183714607434601855115933785277584731476066768601865093843253799868112297220488101566058411<110>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3176273629 Step 1 took 18343ms Step 2 took 7055ms ********** Factor found in step 2: 6948819394157437393825958429058479 Found probable prime factor of 34 digits: 6948819394157437393825958429058479 Composite cofactor 2605903007573171930664939932201670894289921877360986355849317735624998792716430941503127242041607058911464959358583066505173036658275146535493 has 142 digits ------------ Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3945054095 Step 1 took 13376ms Step 2 took 5640ms ********** Factor found in step 2: 74415381796309196485502340019663 Found probable prime factor of 32 digits: 74415381796309196485502340019663 Composite cofactor 35018338207362630724183714607434601855115933785277584731476066768601865093843253799868112297220488101566058411 has 110 digits``` `GMP-ECM 6.2.3`

### c110

name 名前 Dmitry Domanov June 20, 2010 20:40:28 UTC 2010 年 6 月 21 日 (月) 5 時 40 分 28 秒 (日本時間) `35018338207362630724183714607434601855115933785277584731476066768601865093843253799868112297220488101566058411<110>` ```1627153350701634462616267706817492481038399771703643<52> 21521227972927441350599549157181569499032957677991063995377<59>``` ```Number: 110nn N=35018338207362630724183714607434601855115933785277584731476066768601865093843253799868112297220488101566058411 ( 110 digits) Divisors found: r1=1627153350701634462616267706817492481038399771703643 (pp52) r2=21521227972927441350599549157181569499032957677991063995377 (pp59) Version: Msieve-1.40 Total time: 13.72 hours. Scaled time: 25.99 units (timescale=1.894). Factorization parameters were as follows: name: 110nn n: 35018338207362630724183714607434601855115933785277584731476066768601865093843253799868112297220488101566058411 skew: 22025.59 # norm 6.75e+015 c5: 60900 c4: 1379209778 c3: -349353490669634 c2: -414431653383526858 c1: 21855365907736672258269 c0: 48036971632485079632301270 # alpha -6.94 Y1: 425993809043 Y0: -895230174661335961951 # Murphy_E 1.10e-009 # M 20419770229140379328245493815538378588951177821094133808855861362286633923189834801169270094399668538205053770 type: gnfs rlim: 3200000 alim: 3200000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [1600000, 2200001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 419653 x 419876 Polynomial selection time: 1.41 hours. Total sieving time: 11.58 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.52 hours. Time per square root: 0.14 hours. Prototype def-par.txt line would be: gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000 total time: 13.72 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 KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 19, 2010 16:36:09 UTC 2010 年 6 月 20 日 (日) 1 時 36 分 9 秒 (日本時間)
403e6110 / 2144Ignacio SantosJune 19, 2010 16:36:09 UTC 2010 年 6 月 20 日 (日) 1 時 36 分 9 秒 (日本時間)
4511e632 / 4441Ignacio SantosJune 19, 2010 16:36:09 UTC 2010 年 6 月 20 日 (日) 1 時 36 分 9 秒 (日本時間)

## 19×10183+719

### c142

name 名前 Dmitry Domanov April 30, 2013 05:05:22 UTC 2013 年 4 月 30 日 (火) 14 時 5 分 22 秒 (日本時間) `1921576881983126142000499071370246426547484515733069233924306668308725748549417224420976451058082163192742151182957744268277735815669825882151<142>` ```72264310593838026868032596337452082195968017<44> 26590952936413661428440857358085084320493716447904343517681540606152120461627705709709185003269303<98>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4241193703 Step 1 took 67732ms Step 2 took 25351ms ********** Factor found in step 2: 72264310593838026868032596337452082195968017 Found probable prime factor of 44 digits: 72264310593838026868032596337452082195968017```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 05:51:05 UTC 2010 年 10 月 14 日 (木) 14 時 51 分 5 秒 (日本時間)
403e61110 / 2144110Ignacio SantosOctober 14, 2010 05:51:05 UTC 2010 年 10 月 14 日 (木) 14 時 51 分 5 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:04:52 UTC 2013 年 4 月 16 日 (火) 15 時 4 分 52 秒 (日本時間)
4511e632 / 4220Ignacio SantosOctober 14, 2010 05:51:05 UTC 2010 年 10 月 14 日 (木) 14 時 51 分 5 秒 (日本時間)

## 19×10185+719

### c130

name 名前 Erik Branger September 13, 2010 22:27:45 UTC 2010 年 9 月 14 日 (火) 7 時 27 分 45 秒 (日本時間) `3003406009090687751119109429703408159141068851531342602648036716692608662865742661191418683186041717439507344403574306740703995301<130>` ```482174502305650264297079954469313345538367445471008584287<57> 6228877708649201100219711169944315057659979549311545259418571137508544123<73>``` ```Number: 21119_185 N = 3003406009090687751119109429703408159141068851531342602648036716692608662865742661191418683186041717439507344403574306740703995301 (130 digits) Divisors found: r1=482174502305650264297079954469313345538367445471008584287 (pp57) r2=6228877708649201100219711169944315057659979549311545259418571137508544123 (pp73) Version: Msieve v. 1.44 Total time: 151.17 hours. Factorization parameters were as follows: Murphy_E = 8.102623e-11, selected by Jeff Gilchrist n: 3003406009090687751119109429703408159141068851531342602648036716692608662865742661191418683186041717439507344403574306740703995301 Y0: -9939412265920851657312027 Y1: 170919812075287 c0: 6577617220589017959902166770372 c1: 252045022072535910677562280 c2: -3532397779409443746341 c3: -8200413504267160 c4: 39675206412 c5: 30960 skew: 283645.66 type: gnfs # selected mechanically rlim: 9500000 alim: 9500000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 9500000/9500000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [4750000, 10450000) Relations: 17800509 Relations in full relation-set: 2578892 relations Pruned matrix : 1504682 x 1504930 Polynomial selection time: 0.00 hours. Total sieving time: 148.44 hours. Total relation processing time: 0.08 hours. Matrix solve time: 2.05 hours. time per square root: 0.60 hours. Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,9500000,9500000,28,28,53,53,2.5,2.5,100000 total time: 151.17 hours. --------- CPU info (if available) ----------``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e61202Max DettweilerApril 19, 2009 23:28:36 UTC 2009 年 4 月 20 日 (月) 8 時 28 分 36 秒 (日本時間)
403e62504Max DettweilerApril 20, 2009 23:12:52 UTC 2009 年 4 月 21 日 (火) 8 時 12 分 52 秒 (日本時間)

## 19×10186+719

### c172

name 名前 matsui October 8, 2010 06:26:17 UTC 2010 年 10 月 8 日 (金) 15 時 26 分 17 秒 (日本時間) `5183316644136062557681295143456195619511375007637578006533197583688867690830722337207553459203773000337139646405409185559958188659553612353504949958256852830428109951538381<172>` ```4358391731885958372452846415259<31> 1189272778354217280100680800461327306153659321777062555627400822010045303127061915050255094519260110855028197455342436403552819687545468395959<142>``` ```N=5183316644136062557681295143456195619511375007637578006533197583688867690830722337207553459203773000337139646405409185559958188659553612353504949958256852830428109951538381 ( 172 digits) SNFS difficulty: 187 digits. Divisors found: r1=4358391731885958372452846415259 (pp31) r2=1189272778354217280100680800461327306153659321777062555627400822010045303127061915050255094519260110855028197455342436403552819687545468395959 (pp142) Version: Msieve v. 1.48 Total time: Scaled time: 32.49 units (timescale=1.315). Factorization parameters were as follows: n: 5183316644136062557681295143456195619511375007637578006533197583688867690830722337207553459203773000337139646405409185559958188659553612353504949958256852830428109951538381 m: 10000000000000000000000000000000000000 deg: 5 c5: 190 c0: 71 skew: 0.82 type: snfs lss: 1 rlim: 9300000 alim: 9300000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 qintsize: 300000 Factor base limits: 9300000/9300000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved rational special-q in [4650000, 17550001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 2121677 x 2121903 Total sieving time: Total relation processing time: Matrix solve time: Time per square root: Prototype def-par.txt line would be: snfs,187.000,5,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,100000 total time:```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)

## 19×10188+719

### c153

name 名前 Jason Parker-Burlingham April 11, 2019 05:09:32 UTC 2019 年 4 月 11 日 (木) 14 時 9 分 32 秒 (日本時間) `210372596195594335057537429075682195098508286567139469509000111624089028599249764236979299460936704681701825543060034708863551030384739431526086136307049<153>` ```22378598140131176913236372086855046704030679920093<50> 9400615484413948698565350106934412028166998183269482179995658376561276695439592129518758309323062448893<103>``` ```n: 210372596195594335057537429075682195098508286567139469509000111624089028599249764236979299460936704681701825543060034708863551030384739431526086136307049 skew: 0.33 c0: 71 c5: 19000 Y0: -10000000000000000000000000000000000000 Y1: 1 # f(x) = 19000*x^5+71 # g(x) = x-10000000000000000000000000000000000000 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: 3.99/0.514094 Info:Generate Free Relations: Total cpu/real time for freerel: 83.15/6.0113 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22145009 Info:Lattice Sieving: Average J: 7579.82 for 469635 special-q, max bucket fill -bkmult 1.0,1s:1.085810 Info:Lattice Sieving: Total time: 494500s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.62/94.7344 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 94.5s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 329.59/138.57 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 127.4s Info:Filtering - Singleton removal: Total cpu/real time for purge: 207.87/87.7003 Info:Filtering - Merging: Total cpu/real time for merge: 448.58/444.742 Info:Filtering - Merging: Total cpu/real time for replay: 37.33/32.9186 Info:Linear Algebra: Total cpu/real time for bwc: 45034.3/3217.87 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 1956.62, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (45000 iterations) Info:Linear Algebra: Lingen CPU time 90.55, WCT time 90.9 Info:Linear Algebra: Mksol: WCT time 1058.27, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23000 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 44.28/13.399 Info:Square Root: Total cpu/real time for sqrt: 1014.42/153.375 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.04537e+06/14927.1 22378598140131176913236372086855046704030679920093 9400615484413948698565350106934412028166998183269482179995658376561276695439592129518758309323062448893``` `CADO-NFS-3.0.0-dev` `6 * AMD Ryzen 7 1700X Eight-Core Processor w/ 64GB RAM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 05:51:30 UTC 2010 年 10 月 14 日 (木) 14 時 51 分 30 秒 (日本時間)
403e61110110Ignacio SantosOctober 14, 2010 05:51:30 UTC 2010 年 10 月 14 日 (木) 14 時 51 分 30 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:05:00 UTC 2013 年 4 月 16 日 (火) 15 時 5 分 0 秒 (日本時間)
4511e6103232Ignacio SantosOctober 14, 2010 05:51:30 UTC 2010 年 10 月 14 日 (木) 14 時 51 分 30 秒 (日本時間)
1000Dmitry DomanovApril 30, 2013 10:30:15 UTC 2013 年 4 月 30 日 (火) 19 時 30 分 15 秒 (日本時間)
5043e60 / 6121--
5511e7480 / 17696shunFebruary 6, 2019 03:37:12 UTC 2019 年 2 月 6 日 (水) 12 時 37 分 12 秒 (日本時間)

## 19×10189+719

### c150

name 名前 Eric Jeancolas August 12, 2020 04:45:10 UTC 2020 年 8 月 12 日 (水) 13 時 45 分 10 秒 (日本時間) `482051283167399735541988809491294002831346662319994033908604975413586128280628252530167899295987574941415368523553624402201113956269789993316768346793<150>` ```9202162680739434842989792001313844930972166894910140599973<58> 52384564356415481607418624050044301087819165457458367401464522139276712875086453989050972341<92>``` ```482051283167399735541988809491294002831346662319994033908604975413586128280628252530167899295987574941415368523553624402201113956269789993316768346793=9202162680739434842989792001313844930972166894910140599973*52384564356415481607418624050044301087819165457458367401464522139276712875086453989050972341 n: 482051283167399735541988809491294002831346662319994033908604975413586128280628252530167899295987574941415368523553624402201113956269789993316768346793 skew: 1.03 type: snfs c0: 355 c5: 304 Y0: 50000000000000000000000000000000000000 Y1: -1 # f(x) = 304*x^5+355 # g(x) = -x+50000000000000000000000000000000000000 Info:Square Root: Factors: 9202162680739434842989792001313844930972166894910140599973 52384564356415481607418624050044301087819165457458367401464522139276712875086453989050972341 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: 9.47/3.31238 Info:Generate Free Relations: Total cpu/real time for freerel: 205.4/59.6785 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 26279785 Info:Lattice Sieving: Average J: 1894.08 for 2635580 special-q, max bucket fill -bkmult 1.0,1s:1.077270 Info:Lattice Sieving: Total time: 577703s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 108.61/222.828 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 221.29999999999998s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 820.55/674.58 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 573.9s Info:Filtering - Singleton removal: Total cpu/real time for purge: 666.2/562.815 Info:Filtering - Merging: Total cpu/real time for merge: 2288.25/2125.25 Info:Filtering - Merging: Total cpu/real time for replay: 204.12/180.53 Info:Linear Algebra: Total cpu/real time for bwc: 236302/70329.6 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 43526.28, iteration CPU time 0.5, COMM 0.02, cpu-wait 0.12, comm-wait 0.0 (68608 iterations) Info:Linear Algebra: Lingen CPU time 2928.7, WCT time 984.62 Info:Linear Algebra: Mksol: WCT time 25338.02, iteration CPU time 0.6, COMM 0.02, cpu-wait 0.12, comm-wait 0.0 (34304 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 183.87/86.969 Info:Square Root: Total cpu/real time for sqrt: 1854.81/946.215 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.24176e+06/202339 Info:root: Cleaning up computation data in /tmp/cado.hf0glrc6 9202162680739434842989792001313844930972166894910140599973 52384564356415481607418624050044301087819165457458367401464522139276712875086453989050972341``` `cado-nfs-3.0.0` ```Linux Ubuntu 18.04 LTS [4.15.0-109-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 05:52:07 UTC 2010 年 10 月 14 日 (木) 14 時 52 分 7 秒 (日本時間)
403e61110110Ignacio SantosOctober 14, 2010 05:52:07 UTC 2010 年 10 月 14 日 (木) 14 時 52 分 7 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:05:11 UTC 2013 年 4 月 16 日 (火) 15 時 5 分 11 秒 (日本時間)
4511e6503232Ignacio SantosOctober 14, 2010 05:52:07 UTC 2010 年 10 月 14 日 (木) 14 時 52 分 7 秒 (日本時間)
1000Dmitry DomanovApril 30, 2013 10:30:26 UTC 2013 年 4 月 30 日 (火) 19 時 30 分 26 秒 (日本時間)
4000Robert BalfourMarch 31, 2020 09:58:53 UTC 2020 年 3 月 31 日 (火) 18 時 58 分 53 秒 (日本時間)

## 19×10191+719

### c167

name 名前 Edwin Hall December 19, 2020 12:59:00 UTC 2020 年 12 月 19 日 (土) 21 時 59 分 0 秒 (日本時間) `64208389536461955733990741943105732897582017367982385938171812005657179649751848407055126770851035912231336934001754684603552074977087972264345190054565191288437126839<167>` ```115146913363753188003211082949483349287447505127646888050633<60> 557621456457329196907289141581271619028971754385008794669836770183195276650323070969491366035885839140717183<108>``` ```Factors: 115146913363753188003211082949483349287447505127646888050633 557621456457329196907289141581271619028971754385008794669836770183195276650323070969491366035885839140717183 Info:Square Root: Total cpu/real time for sqrt: 4930.97/314.401 Info:Filtering - Singleton removal: Total cpu/real time for purge: 403.27/164.335 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 55926144 Info:Lattice Sieving: Average J: 3790.78 for 855550 special-q, max bucket fill -bkmult 1.0,1s:1.214910 Info:Lattice Sieving: Total time: 327423s Info:Generate Free Relations: Total cpu/real time for freerel: 904.64/41.3481 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1170.7/359.582 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 284.5s Info:Linear Algebra: Total cpu/real time for bwc: 142387/12874.3 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 89160.0, WCT time 8091.51, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (82000 iterations) Info:Linear Algebra: Lingen CPU time 2960.82, WCT time 127.7 Info:Linear Algebra: Mksol: CPU time 47682.99, WCT time 4325.35, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (41000 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 60.26/7.47718 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 199.45/148.347 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 148.2s Info:Filtering - Merging: Total cpu/real time for merge: 610.14/70.5734 Info:Filtering - Merging: Total cpu/real time for replay: 116.86/98.8261 Info:Quadratic Characters: Total cpu/real time for characters: 165.91/32.0092 Info:Square Root: Total cpu/real time for sqrt: 4930.97/314.401 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.32938e+06/29674.8 115146913363753188003211082949483349287447505127646888050633 557621456457329196907289141581271619028971754385008794669836770183195276650323070969491366035885839140717183``` `CADO-NFS`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 05:52:30 UTC 2010 年 10 月 14 日 (木) 14 時 52 分 30 秒 (日本時間)
403e61110110Ignacio SantosOctober 14, 2010 05:52:30 UTC 2010 年 10 月 14 日 (木) 14 時 52 分 30 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:05:19 UTC 2013 年 4 月 16 日 (火) 15 時 5 分 19 秒 (日本時間)
4511e6503232Ignacio SantosOctober 14, 2010 05:52:30 UTC 2010 年 10 月 14 日 (木) 14 時 52 分 30 秒 (日本時間)
1000Dmitry DomanovApril 30, 2013 10:30:35 UTC 2013 年 4 月 30 日 (火) 19 時 30 分 35 秒 (日本時間)
4000Robert BalfourApril 19, 2020 23:21:11 UTC 2020 年 4 月 20 日 (月) 8 時 21 分 11 秒 (日本時間)

## 19×10192+719

### c147

name 名前 Dmitry Domanov March 29, 2013 08:57:07 UTC 2013 年 3 月 29 日 (金) 17 時 57 分 7 秒 (日本時間) `234097390727236936436955813980667773161913642262409259084498284963916783345768409520405529363217459584539916894786020180577128901903507700220711507<147>` ```13649009742432174913951387280746213645181<41> 17151236254119790076172375831225105360816640527466655798767013288374255403513127471161595493158130064748047<107>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1554634728 Step 1 took 16651ms Step 2 took 7242ms ********** Factor found in step 2: 13649009742432174913951387280746213645181 Found probable prime factor of 41 digits: 13649009742432174913951387280746213645181```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 05:52:59 UTC 2010 年 10 月 14 日 (木) 14 時 52 分 59 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 14, 2010 05:52:59 UTC 2010 年 10 月 14 日 (木) 14 時 52 分 59 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 14, 2010 05:52:59 UTC 2010 年 10 月 14 日 (木) 14 時 52 分 59 秒 (日本時間)

## 19×10194+719

### c161

name 名前 Eric Jeancolas January 6, 2021 08:18:44 UTC 2021 年 1 月 6 日 (水) 17 時 18 分 44 秒 (日本時間) `47843936713487550602355826709805935584888189043094902859333027342149175440716347635220102864201482121479582745533405584387137106997593959288507822205274549516867<161>` ```79477944427823535501100160487775523129166194933774196104063<59> 601977530469930062917695742872616260189535389415814603321753987532445182250367216179930791327952098109<102>``` ```47843936713487550602355826709805935584888189043094902859333027342149175440716347635220102864201482121479582745533405584387137106997593959288507822205274549516867=79477944427823535501100160487775523129166194933774196104063*601977530469930062917695742872616260189535389415814603321753987532445182250367216179930791327952098109 cado polynomial n: 47843936713487550602355826709805935584888189043094902859333027342149175440716347635220102864201482121479582745533405584387137106997593959288507822205274549516867 skew: 1.03 type: snfs c0: 355 c5: 304 Y0: 500000000000000000000000000000000000000 Y1: -1 # f(x) = 304*x^5+355 # g(x) = -x+500000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 12900000 tasks.lim1 = 12900000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 601977530469930062917695742872616260189535389415814603321753987532445182250367216179930791327952098109 79477944427823535501100160487775523129166194933774196104063 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: 5.57/2.22193 Info:Generate Free Relations: Total cpu/real time for freerel: 99.34/25.6229 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 30553669 Info:Lattice Sieving: Average J: 1893.67 for 4246373 special-q, max bucket fill -bkmult 1.0,1s:1.155230 Info:Lattice Sieving: Total time: 1.10297e+06s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 59.51/159.721 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 158.69999999999996s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 530.56/518.07 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 448.19999999999993s Info:Filtering - Singleton removal: Total cpu/real time for purge: 460.54/522.479 Info:Filtering - Merging: Merged matrix has 2741721 rows and total weight 470791398 (171.7 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 370.91/159.97 Info:Filtering - Merging: Total cpu/real time for replay: 105.16/91.3907 Info:Linear Algebra: Total cpu/real time for bwc: 133964/34231.9 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 21857.27, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (86016 iterations) Info:Linear Algebra: Lingen CPU time 559.58, WCT time 161.63 Info:Linear Algebra: Mksol: WCT time 11913.71, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43008 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 94.53/40.4673 Info:Square Root: Total cpu/real time for sqrt: 774.9/244.318 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.19401e+06/77297.7 Info:root: Cleaning up computation data in /tmp/cado.nss1ah6k 601977530469930062917695742872616260189535389415814603321753987532445182250367216179930791327952098109 79477944427823535501100160487775523129166194933774196104063``` `cado-nfs-3.0.0` ```6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)] 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 KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 05:54:06 UTC 2010 年 10 月 14 日 (木) 14 時 54 分 6 秒 (日本時間)
403e61110110Ignacio SantosOctober 14, 2010 05:54:06 UTC 2010 年 10 月 14 日 (木) 14 時 54 分 6 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:05:28 UTC 2013 年 4 月 16 日 (火) 15 時 5 分 28 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 14, 2010 05:54:06 UTC 2010 年 10 月 14 日 (木) 14 時 54 分 6 秒 (日本時間)
1000Dmitry DomanovApril 30, 2013 10:30:45 UTC 2013 年 4 月 30 日 (火) 19 時 30 分 45 秒 (日本時間)

## 19×10195+719

### c153

name 名前 Edwin Hall December 26, 2020 01:58:27 UTC 2020 年 12 月 26 日 (土) 10 時 58 分 27 秒 (日本時間) `176082008707865447020295542264229458925863776836611450340222310721972448753067474401439724332718101962723935366128347496330471531888095184656091538273493<153>` ```955725333099847413516352312488165284859321105489610524437865588015327037531<75> 184239135041813991465977458776315089205035002572068254703784364961095943093903<78>``` ```p75 factor: 955725333099847413516352312488165284859321105489610524437865588015327037531 p78 factor: 184239135041813991465977458776315089205035002572068254703784364961095943093903 Msieve v. 1.54 (SVN 1034) random seeds: 231fe107 c5c6862e factoring 176082008707865447020295542264229458925863776836611450340222310721972448753067474401439724332718101962723935366128347496330471531888095184656091538273493 (153 digits) searching for 15-digit factors commencing number field sieve (153-digit input) R0: -1000000000000000000000000000000000000000 R1: 1 A0: 71 A1: 0 A2: 0 A3: 0 A4: 0 A5: 19 skew 1.00, size 8.515e-14, alpha 1.377, combined = 1.806e-11 rroots = 1 commencing relation filtering estimated available RAM is 15892.2 MB commencing duplicate removal, pass 1 found 2274381 hash collisions in 36514543 relations added 727226 free relations commencing duplicate removal, pass 2 found 0 duplicates and 37241769 unique relations memory use: 98.6 MB reading ideals above 720000 commencing singleton removal, initial pass memory use: 753.0 MB reading all ideals from disk memory use: 1235.2 MB keeping 40122416 ideals with weight <= 200, target excess is 195883 commencing in-memory singleton removal begin with 37241769 relations and 40122416 unique ideals reduce to 14091668 relations and 12992587 ideals in 15 passes max relations containing the same ideal: 109 removing 2165160 relations and 1765160 ideals in 400000 cliques commencing in-memory singleton removal begin with 11926508 relations and 12992587 unique ideals reduce to 11638279 relations and 10928539 ideals in 9 passes max relations containing the same ideal: 98 removing 1749450 relations and 1349450 ideals in 400000 cliques commencing in-memory singleton removal begin with 9888829 relations and 10928539 unique ideals reduce to 9655326 relations and 9337132 ideals in 9 passes max relations containing the same ideal: 88 removing 532899 relations and 441930 ideals in 90969 cliques commencing in-memory singleton removal begin with 9122427 relations and 9337132 unique ideals reduce to 9099680 relations and 8872229 ideals in 7 passes max relations containing the same ideal: 85 relations with 0 large ideals: 4001 relations with 1 large ideals: 7410 relations with 2 large ideals: 68404 relations with 3 large ideals: 351470 relations with 4 large ideals: 1077112 relations with 5 large ideals: 2056891 relations with 6 large ideals: 2576596 relations with 7+ large ideals: 2957796 commencing 2-way merge reduce to 5650433 relation sets and 5422982 unique ideals commencing full merge memory use: 645.9 MB found 2644325 cycles, need 2621182 weight of 2621182 cycles is about 236179919 (90.10/cycle) distribution of cycle lengths: 1 relations: 226128 2 relations: 227982 3 relations: 237663 4 relations: 226440 5 relations: 218642 6 relations: 199595 7 relations: 186055 8 relations: 167292 9 relations: 149357 10+ relations: 782028 heaviest cycle: 27 relations commencing cycle optimization start with 19341697 relations pruned 653474 relations memory use: 570.1 MB distribution of cycle lengths: 1 relations: 226128 2 relations: 233585 3 relations: 246709 4 relations: 234296 5 relations: 226376 6 relations: 205381 7 relations: 191550 8 relations: 171243 9 relations: 151959 10+ relations: 733955 heaviest cycle: 27 relations RelProcTime: 1039 elapsed time 00:17:20 Msieve v. 1.54 (SVN 1034) random seeds: b5c54720 7646f0c7 factoring 176082008707865447020295542264229458925863776836611450340222310721972448753067474401439724332718101962723935366128347496330471531888095184656091538273493 (153 digits) searching for 15-digit factors commencing number field sieve (153-digit input) R0: -1000000000000000000000000000000000000000 R1: 1 A0: 71 A1: 0 A2: 0 A3: 0 A4: 0 A5: 19 skew 1.00, size 8.515e-14, alpha 1.377, combined = 1.806e-11 rroots = 1 commencing linear algebra read 2621182 cycles cycles contain 8941734 unique relations read 8941734 relations using 20 quadratic characters above 4294917295 building initial matrix memory use: 1128.2 MB read 2621182 cycles matrix is 2621005 x 2621182 (963.6 MB) with weight 281637320 (107.45/col) sparse part has weight 223781478 (85.37/col) filtering completed in 2 passes matrix is 2620281 x 2620458 (963.6 MB) with weight 281611587 (107.47/col) sparse part has weight 223772323 (85.39/col) matrix starts at (0, 0) matrix is 2620281 x 2620458 (963.6 MB) with weight 281611587 (107.47/col) sparse part has weight 223772323 (85.39/col) saving the first 48 matrix rows for later matrix includes 64 packed rows matrix is 2620233 x 2620458 (915.0 MB) with weight 231252716 (88.25/col) sparse part has weight 213655109 (81.53/col) using block size 8192 and superblock size 786432 for processor cache size 8192 kB commencing Lanczos iteration (8 threads) memory use: 873.4 MB linear algebra at 0.1%, ETA 3h20m checkpointing every 820000 dimensions lanczos halted after 41437 iterations (dim = 2620233) recovered 38 nontrivial dependencies BLanczosTime: 11990 elapsed time 03:19:51 Msieve v. 1.54 (SVN 1034) random seeds: d92caf1f 82c2f74d factoring 176082008707865447020295542264229458925863776836611450340222310721972448753067474401439724332718101962723935366128347496330471531888095184656091538273493 (153 digits) searching for 15-digit factors commencing number field sieve (153-digit input) R0: -1000000000000000000000000000000000000000 R1: 1 A0: 71 A1: 0 A2: 0 A3: 0 A4: 0 A5: 19 skew 1.00, size 8.515e-14, alpha 1.377, combined = 1.806e-11 rroots = 1 commencing square root phase reading relations for dependency 1 read 1310871 cycles cycles contain 4472140 unique relations read 4472140 relations multiplying 4472140 relations multiply complete, coefficients have about 120.22 million bits initial square root is modulo 425939251 sqrtTime: 228 p75 factor: 955725333099847413516352312488165284859321105489610524437865588015327037531 p78 factor: 184239135041813991465977458776315089205035002572068254703784364961095943093903 elapsed time 00:03:49``` `CADO-NFS/Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 06:52:34 UTC 2010 年 10 月 14 日 (木) 15 時 52 分 34 秒 (日本時間)
403e61110110Ignacio SantosOctober 14, 2010 06:52:34 UTC 2010 年 10 月 14 日 (木) 15 時 52 分 34 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:05:41 UTC 2013 年 4 月 16 日 (火) 15 時 5 分 41 秒 (日本時間)
4511e6422832Ignacio SantosOctober 14, 2010 06:52:34 UTC 2010 年 10 月 14 日 (木) 15 時 52 分 34 秒 (日本時間)
1000Dmitry DomanovApril 30, 2013 10:30:55 UTC 2013 年 4 月 30 日 (火) 19 時 30 分 55 秒 (日本時間)
3196Edwin HallDecember 22, 2020 18:28:05 UTC 2020 年 12 月 23 日 (水) 3 時 28 分 5 秒 (日本時間)

## 19×10196+719

### c196

name 名前 Wataru Sakai January 19, 2009 14:21:29 UTC 2009 年 1 月 19 日 (月) 23 時 21 分 29 秒 (日本時間) `3015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873017<196>` ```4024550742728356898279108029508093226251113429243623259829018016784236730049498559965681<88> 749368863424609268346748573675398417191779704699583690103757751394161833140023105513882632166295016315653257<108>``` ```Number: 21119_196 N=3015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873017 ( 196 digits) SNFS difficulty: 197 digits. Divisors found: r1=4024550742728356898279108029508093226251113429243623259829018016784236730049498559965681 r2=749368863424609268346748573675398417191779704699583690103757751394161833140023105513882632166295016315653257 Version: Total time: 966.43 hours. Scaled time: 1823.66 units (timescale=1.887). Factorization parameters were as follows: n: 3015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873017 m: 1000000000000000000000000000000000000000 deg: 5 c5: 190 c0: 71 skew: 0.82 type: snfs lss: 1 rlim: 13600000 alim: 13600000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13600000/13600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved rational special-q in [6800000, 17400001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 2466460 x 2466708 Total sieving time: 966.43 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: snfs,197,5,0,0,0,0,0,0,0,0,13600000,13600000,28,28,55,55,2.5,2.5,100000 total time: 966.43 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 KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)

## 19×10198+719

### c174

name 名前 Eric Jeancolas December 9, 2020 12:26:42 UTC 2020 年 12 月 9 日 (水) 21 時 26 分 42 秒 (日本時間) `161884805798610897409684745476963080886589641228498308803598132836685150077073884363496037888896995571664560666471563320366624776966051707278460855217539221903017895570543363<174>` ```4394727076107188783035248450833056223<37> 2630452988043677201659363270766094737295715765319670427641851<61> 14003726970117012853372472596713525782915009679738029012517561969575483101831<77>``` ```161884805798610897409684745476963080886589641228498308803598132836685150077073884363496037888896995571664560666471563320366624776966051707278460855217539221903017895570543363=4394727076107188783035248450833056223*2630452988043677201659363270766094737295715765319670427641851*14003726970117012853372472596713525782915009679738029012517561969575483101831 cado polynomial n: 161884805798610897409684745476963080886589641228498308803598132836685150077073884363496037888896995571664560666471563320366624776966051707278460855217539221903017895570543363 skew: 1.25 type: snfs c0: 71 c6: 19 Y0: 1000000000000000000000000000000000 Y1: -1 # f(x) = 19*x^6+71 # g(x) = -x+1000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 14700000 tasks.lim1 = 14700000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 2630452988043677201659363270766094737295715765319670427641851 4394727076107188783035248450833056223 14003726970117012853372472596713525782915009679738029012517561969575483101831 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: 9.44/3.33552 Info:Generate Free Relations: Total cpu/real time for freerel: 167.59/42.4474 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 28338495 Info:Lattice Sieving: Average J: 1893.23 for 3418501 special-q, max bucket fill -bkmult 1.0,1s:1.162860 Info:Lattice Sieving: Total time: 1.10889e+06s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.65/143.715 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 142.70000000000002s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 490.12/458.714 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 397.59999999999997s Info:Filtering - Singleton removal: Total cpu/real time for purge: 421.78/477.505 Info:Filtering - Merging: Merged matrix has 2606505 rows and total weight 446242891 (171.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 364.76/163.208 Info:Filtering - Merging: Total cpu/real time for replay: 101.3/88.1493 Info:Linear Algebra: Total cpu/real time for bwc: 125639/32159.8 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 21001.66, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (81920 iterations) Info:Linear Algebra: Lingen CPU time 528.2, WCT time 154.8 Info:Linear Algebra: Mksol: WCT time 10725.73, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40960 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 89.72/38.318 Info:Square Root: Total cpu/real time for sqrt: 1353.45/400.239 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.18689e+06/102548 Info:root: Cleaning up computation data in /tmp/cado.4refg79l 2630452988043677201659363270766094737295715765319670427641851 4394727076107188783035248450833056223 14003726970117012853372472596713525782915009679738029012517561969575483101831``` `cado-nfs-3.0.0` ```Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)] 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 KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 12:06:24 UTC 2010 年 10 月 14 日 (木) 21 時 6 分 24 秒 (日本時間)
403e61110110Ignacio SantosOctober 14, 2010 12:06:24 UTC 2010 年 10 月 14 日 (木) 21 時 6 分 24 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:05:51 UTC 2013 年 4 月 16 日 (火) 15 時 5 分 51 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 14, 2010 12:06:24 UTC 2010 年 10 月 14 日 (木) 21 時 6 分 24 秒 (日本時間)
1000Dmitry DomanovApril 30, 2013 10:31:05 UTC 2013 年 4 月 30 日 (火) 19 時 31 分 5 秒 (日本時間)

## 19×10199+719

### c167

name 名前 Eric Jeancolas October 9, 2021 11:32:23 UTC 2021 年 10 月 9 日 (土) 20 時 32 分 23 秒 (日本時間) `12176073442828838916489585663825686877691208405171244177840342090972165166285752671848915697988423788460624815455099220159887054238603545769024806500485238002922219361<167>` ```15307963848554646115204212482276612646767064308767653958119917402172987735259<77> 795407773580448103294342081562863654165342487966718397818263036890001846777292720435512179<90>``` ```12176073442828838916489585663825686877691208405171244177840342090972165166285752671848915697988423788460624815455099220159887054238603545769024806500485238002922219361=15307963848554646115204212482276612646767064308767653958119917402172987735259*795407773580448103294342081562863654165342487966718397818263036890001846777292720435512179 cado polynomial n: 12176073442828838916489585663825686877691208405171244177840342090972165166285752671848915697988423788460624815455099220159887054238603545769024806500485238002922219361 skew: 1.03 type: snfs c0: 355 c5: 304 Y0: 5000000000000000000000000000000000000000 Y1: -1 # f(x) = 304*x^5+355 # g(x) = -x+5000000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 15700000 tasks.lim1 = 15700000 tasks.lpb0 = 29 tasks.lpb1 = 29 tasks.sieve.mfb0 = 56 tasks.sieve.mfb1 = 56 tasks.sieve.lambda0 = 2.6 tasks.sieve.lambda1 = 2.6 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 15307963848554646115204212482276612646767064308767653958119917402172987735259 795407773580448103294342081562863654165342487966718397818263036890001846777292720435512179 Info:Square Root: Total cpu/real time for sqrt: 1148.75/364.756 Info:Square Root: Total cpu/real time for sqrt: 1148.75/364.756 Info:Generate Free Relations: Total cpu/real time for freerel: 242.81/63.0897 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 216.9/252.903 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 252.20000000000002s Info:Generate Factor Base: Total cpu/real time for makefb: 6.63/2.98678 Info:Filtering - Singleton removal: Total cpu/real time for purge: 724.49/854.139 Info:Filtering - Merging: Merged matrix has 3794061 rows and total weight 646416928 (170.4 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 1087.68/299.758 Info:Filtering - Merging: Total cpu/real time for replay: 151.82/133.78 Info:Linear Algebra: Total cpu/real time for bwc: 270283/69184 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 174331.59, WCT time 44485.36, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (118784 iterations) Info:Linear Algebra: Lingen CPU time 841.6, WCT time 213.61 Info:Linear Algebra: Mksol: CPU time 93566.12, WCT time 23905.76, iteration CPU time 0.38, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (59392 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 136.62/57.7108 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 50136175 Info:Lattice Sieving: Average J: 1894.01 for 5520770 special-q, max bucket fill -bkmult 1.0,1s:1.132840 Info:Lattice Sieving: Total time: 1.4357e+06s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 967.44/979.856 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 794.0999999999999s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.97779e+06/185868 15307963848554646115204212482276612646767064308767653958119917402172987735259 795407773580448103294342081562863654165342487966718397818263036890001846777292720435512179``` `cado-nfs-3.0.0` ```Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] 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 KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 12:06:55 UTC 2010 年 10 月 14 日 (木) 21 時 6 分 55 秒 (日本時間)
403e61110110Ignacio SantosOctober 14, 2010 12:06:55 UTC 2010 年 10 月 14 日 (木) 21 時 6 分 55 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:06:00 UTC 2013 年 4 月 16 日 (火) 15 時 6 分 0 秒 (日本時間)
4511e6103232Ignacio SantosOctober 14, 2010 12:06:55 UTC 2010 年 10 月 14 日 (木) 21 時 6 分 55 秒 (日本時間)
1000Dmitry DomanovApril 30, 2013 10:31:15 UTC 2013 年 4 月 30 日 (火) 19 時 31 分 15 秒 (日本時間)
5043e61000 / 7278yoyo@HomeJune 21, 2021 13:58:32 UTC 2021 年 6 月 21 日 (月) 22 時 58 分 32 秒 (日本時間)

## 19×10200+719

### c174

name 名前 Dmitry Domanov May 6, 2013 05:28:41 UTC 2013 年 5 月 6 日 (月) 14 時 28 分 41 秒 (日本時間) `432136876925912569651150439173034958771121373662998668084914213121049648890579467196603773693299533467560120068123391338710823836050195125787998812536622136019533573181408113<174>` ```8284751973862666328776621046483070535592987<43> 52160508641568171078210696852809116577452363304736199958247591752846576079643585260273558009679536177150706273663910679089888915299<131>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1461433979 Step 1 took 87981ms Step 2 took 29839ms ********** Factor found in step 2: 8284751973862666328776621046483070535592987 Found probable prime factor of 43 digits: 8284751973862666328776621046483070535592987```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 12:07:23 UTC 2010 年 10 月 14 日 (木) 21 時 7 分 23 秒 (日本時間)
403e61110110Ignacio SantosOctober 14, 2010 12:07:23 UTC 2010 年 10 月 14 日 (木) 21 時 7 分 23 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:06:10 UTC 2013 年 4 月 16 日 (火) 15 時 6 分 10 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 14, 2010 12:07:23 UTC 2010 年 10 月 14 日 (木) 21 時 7 分 23 秒 (日本時間)
1000Dmitry DomanovApril 30, 2013 10:31:24 UTC 2013 年 4 月 30 日 (火) 19 時 31 分 24 秒 (日本時間)

## 19×10203+719

### c163

name 名前 Bob Backstrom September 11, 2023 18:06:43 UTC 2023 年 9 月 12 日 (火) 3 時 6 分 43 秒 (日本時間) `8784579582171346591568645992578585656494312048762278661071386759843804847052408417304803857653493188461230862214114609451088600461553418641015183315211399443656667<163>` ```563625760448768602274840695784136759252004906680466892137032510223100269489739<78> 15585837622426824541286994475482393881184986379869807919838749615880458305322830629553<86>``` ```Number: n N=8784579582171346591568645992578585656494312048762278661071386759843804847052408417304803857653493188461230862214114609451088600461553418641015183315211399443656667 ( 163 digits) SNFS difficulty: 204 digits. Divisors found: Tue Sep 12 04:00:30 2023 prp78 factor: 563625760448768602274840695784136759252004906680466892137032510223100269489739 Tue Sep 12 04:00:30 2023 prp86 factor: 15585837622426824541286994475482393881184986379869807919838749615880458305322830629553 Tue Sep 12 04:00:30 2023 elapsed time 04:07:43 (Msieve 1.44 - dependency 7) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.073). Factorization parameters were as follows: # # N = 19x10^203+71 = 21(202)9 # n: 8784579582171346591568645992578585656494312048762278661071386759843804847052408417304803857653493188461230862214114609451088600461553418641015183315211399443656667 m: 10000000000000000000000000000000000000000 deg: 5 c5: 19000 c0: 71 skew: 0.33 # Murphy_E = 6.895e-12 type: snfs lss: 1 rlim: 17800000 alim: 17800000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 17800000/17800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 48900000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3592846 hash collisions in 18086785 relations (15051736 unique) Msieve: matrix is 2657049 x 2657274 (751.6 MB) Sieving start time: 2023/09/11 02:53:50 Sieving end time : 2023/09/11 23:52:19 Total sieving time: 20hrs 58min 29secs. Total relation processing time: 3hrs 38min 18sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 24min 28sec. Prototype def-par.txt line would be: snfs,204,5,0,0,0,0,0,0,0,0,17800000,17800000,27,27,56,56,2.6,2.6,100000 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 KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:06:19 UTC 2013 年 4 月 16 日 (火) 15 時 6 分 19 秒 (日本時間)
4511e654801000Dmitry DomanovApril 30, 2013 10:31:52 UTC 2013 年 4 月 30 日 (火) 19 時 31 分 52 秒 (日本時間)
4480Ignacio SantosDecember 18, 2021 11:35:46 UTC 2021 年 12 月 18 日 (土) 20 時 35 分 46 秒 (日本時間)

## 19×10204+719

### c161

name 名前 Bob Backstrom November 27, 2023 14:36:35 UTC 2023 年 11 月 27 日 (月) 23 時 36 分 35 秒 (日本時間) `57636098192451685761970211612086549883432196411659527608565381064125748902762100207255644499500819295349308670097441599974385586062442350873495386827328405877769<161>` ```133002463799867588220167500173775320067795666609966504253<57> 433346094093251420576861230841403292047063646124843521914056903880144605971256394266224019392190388714173<105>``` ```Number: n N=57636098192451685761970211612086549883432196411659527608565381064125748902762100207255644499500819295349308670097441599974385586062442350873495386827328405877769 ( 161 digits) SNFS difficulty: 205 digits. Divisors found: Tue Nov 28 00:21:09 2023 prp57 factor: 133002463799867588220167500173775320067795666609966504253 Tue Nov 28 00:21:09 2023 prp105 factor: 433346094093251420576861230841403292047063646124843521914056903880144605971256394266224019392190388714173 Tue Nov 28 00:21:09 2023 elapsed time 02:35:39 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.093). Factorization parameters were as follows: # # N = 19x10^204+71 = 21(203)9 # n: 57636098192451685761970211612086549883432196411659527608565381064125748902762100207255644499500819295349308670097441599974385586062442350873495386827328405877769 m: 10000000000000000000000000000000000 deg: 6 c6: 19 c0: 71 skew: 1.25 # Murphy_E = 9.134e-12 type: snfs lss: 1 rlim: 18500000 alim: 18500000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 18500000/18500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 49250000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3615560 hash collisions in 20516580 relations (17593491 unique) Msieve: matrix is 2221762 x 2221987 (626.0 MB) Sieving start time: 2023/11/26 23:26:33 Sieving end time : 2023/11/27 21:45:05 Total sieving time: 22hrs 18min 32secs. Total relation processing time: 2hrs 26min 53sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 8sec. Prototype def-par.txt line would be: snfs,205,6,0,0,0,0,0,0,0,0,18500000,18500000,27,27,56,56,2.6,2.6,100000 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 KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:06:29 UTC 2013 年 4 月 16 日 (火) 15 時 6 分 29 秒 (日本時間)
4511e654801000Dmitry DomanovApril 30, 2013 10:32:09 UTC 2013 年 4 月 30 日 (火) 19 時 32 分 9 秒 (日本時間)
4480Ignacio SantosFebruary 14, 2022 18:44:28 UTC 2022 年 2 月 15 日 (火) 3 時 44 分 28 秒 (日本時間)

## 19×10207+719

### c180

composite cofactor 合成数の残り `222009157468107191055215787039294560539741190871217347103420544228040735010153663228375242439901973717898926484451630617583922939969276792118100956053842949919655497846637688190693<180>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:06:39 UTC 2013 年 4 月 16 日 (火) 15 時 6 分 39 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:32:25 UTC 2013 年 4 月 30 日 (火) 19 時 32 分 25 秒 (日本時間)

## 19×10208+719

### c174

name 名前 Bob Backstrom July 26, 2021 12:30:27 UTC 2021 年 7 月 26 日 (月) 21 時 30 分 27 秒 (日本時間) `557525338717900493139107516738628481945110207702904172337903829648349459627339473838972614874694678573133761779202775304344706414775742063713498551900698691006224495010047433<174>` ```1565020757676074348378567050326349223<37> 356241497745869676465360716314029132065130267824520997493461240559628907957190666681162641454484009515694231964472829117739451705628096271<138>``` ```# # N = 19x10^208+71 = 21(207)9 # n: 557525338717900493139107516738628481945110207702904172337903829648349459627339473838972614874694678573133761779202775304344706414775742063713498551900698691006224495010047433 m: 50000000000000000000000000000000000 deg: 6 c6: 304 c0: 1775 skew: 1.34 # Murphy_E = 4.769e-12 type: snfs lss: 1 rlim: 23000000 alim: 23000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM] Input number is 557525338717900493139107516738628481945110207702904172337903829648349459627339473838972614874694678573133761779202775304344706414775742063713498551900698691006224495010047433 (174 digits) Using B1=35230000, B2=192388936756, polynomial Dickson(12), sigma=1:517483573 Step 1 took 379625ms Step 2 took 106281ms ********** Factor found in step 2: 1565020757676074348378567050326349223 Found probable prime factor of 37 digits: 1565020757676074348378567050326349223 Probable prime cofactor 356241497745869676465360716314029132065130267824520997493461240559628907957190666681162641454484009515694231964472829117739451705628096271 has 138 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:06:52 UTC 2013 年 4 月 16 日 (火) 15 時 6 分 52 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:32:36 UTC 2013 年 4 月 30 日 (火) 19 時 32 分 36 秒 (日本時間)

## 19×10209+719

### c192

name 名前 Bob Backstrom July 17, 2021 03:02:17 UTC 2021 年 7 月 17 日 (土) 12 時 2 分 17 秒 (日本時間) `109850513285115997661334696565022414171109394766810533680059655116768448701918508980601441486396536743690079338834215627147622941515554768882117432898711079976837219592127396251052753612616333<192>` ```188152002046524623797965198982143346968948481140742837530905061027745907006496005230033<87> 583839194323072357141045228292225332050238920277730761940946654666030159933127733254099738903653131951101<105>``` ```Number: n N=109850513285115997661334696565022414171109394766810533680059655116768448701918508980601441486396536743690079338834215627147622941515554768882117432898711079976837219592127396251052753612616333 ( 192 digits) SNFS difficulty: 210 digits. Divisors found: Sat Jul 17 12:55:58 2021 p87 factor: 188152002046524623797965198982143346968948481140742837530905061027745907006496005230033 Sat Jul 17 12:55:58 2021 p105 factor: 583839194323072357141045228292225332050238920277730761940946654666030159933127733254099738903653131951101 Sat Jul 17 12:55:58 2021 elapsed time 04:38:18 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.349). Factorization parameters were as follows: # # N = 19x10^209+71 = 21(208)9 # n: 109850513285115997661334696565022414171109394766810533680059655116768448701918508980601441486396536743690079338834215627147622941515554768882117432898711079976837219592127396251052753612616333 m: 500000000000000000000000000000000000000000 deg: 5 c5: 304 c0: 355 skew: 1.03 # Murphy_E = 3.901e-12 type: snfs lss: 1 rlim: 23000000 alim: 23000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 Factor base limits: 23000000/23000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 57/57 Sieved special-q in [100000, 67500000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 8686011 hash collisions in 57011367 relations (50236363 unique) Msieve: matrix is 3321901 x 3322126 (1165.9 MB) Sieving start time : 2021/07/16 05:46:08 Sieving end time : 2021/07/17 08:16:07 Total sieving time: 26hrs 29min 59secs. Total relation processing time: 4hrs 12min 41sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 9min 50sec. Prototype def-par.txt line would be: snfs,210,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118191] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved) [ 0.153502] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.23 BogoMIPS (lpj=12798472) [ 0.152038] smpboot: Total of 16 processors activated (102387.77 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:07:02 UTC 2013 年 4 月 16 日 (火) 15 時 7 分 2 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:32:56 UTC 2013 年 4 月 30 日 (火) 19 時 32 分 56 秒 (日本時間)

## 19×10212+719

### c180

composite cofactor 合成数の残り `176123881440799892330959738211488921775097087867521398373288649687909849197290707840302093020850391893015983063482876937508232411532621349538301552682503491049401687349534541766859<180>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:07:12 UTC 2013 年 4 月 16 日 (火) 15 時 7 分 12 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:33:06 UTC 2013 年 4 月 30 日 (火) 19 時 33 分 6 秒 (日本時間)

## 19×10213+719

### c160

composite cofactor 合成数の残り `3067395695812089226588829600480695158446987526316505962102864495877183317338292316551772095363911866310371418245635265193185015372562526417567389306264627829217<160>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:07:26 UTC 2013 年 4 月 16 日 (火) 15 時 7 分 26 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:33:17 UTC 2013 年 4 月 30 日 (火) 19 時 33 分 17 秒 (日本時間)

## 19×10214+719

### c195

name 名前 Dmitry Domanov March 29, 2013 08:53:26 UTC 2013 年 3 月 29 日 (金) 17 時 53 分 26 秒 (日本時間) `683321137635052116335291394392438001326089685960612704215526821933221695401704742337000563169711140480063471120994363823322669094962641705134250408043073143690520423143511935862574835411633176317<195>` `342812080151117870291026895389438897<36>` `1993281967583614878753828640907985333719275948378236356590185566413652180200085970019916946743396511944887464386059092255714769004007596991254656467009230638861<160>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=671254953 Step 1 took 29868ms Step 2 took 11800ms ********** Factor found in step 2: 342812080151117870291026895389438897 Found probable prime factor of 36 digits: 342812080151117870291026895389438897```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:07:35 UTC 2013 年 4 月 16 日 (火) 15 時 7 分 35 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:33:27 UTC 2013 年 4 月 30 日 (火) 19 時 33 分 27 秒 (日本時間)

## 19×10215+719

### c182

composite cofactor 合成数の残り `20560908647071608548273338774413077020044758283349972024271617927805764319874287569559736822427486577337113635733334433666554923154248434939441151202753109145475843474957341934137701<182>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:07:44 UTC 2013 年 4 月 16 日 (火) 15 時 7 分 44 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:33:37 UTC 2013 年 4 月 30 日 (火) 19 時 33 分 37 秒 (日本時間)

## 19×10217+719

### c177

composite cofactor 合成数の残り `478836889673378152372702756527692756132055631960696962876098336894908549463880697063549258130590348136142644753650192549212244688411267059260239109870221599238901333741585564967<177>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:10:12 UTC 2013 年 4 月 16 日 (火) 15 時 10 分 12 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:34:06 UTC 2013 年 4 月 30 日 (火) 19 時 34 分 6 秒 (日本時間)

## 19×10218+719

### c142

name 名前 Dmitry Domanov March 29, 2013 08:56:39 UTC 2013 年 3 月 29 日 (金) 17 時 56 分 39 秒 (日本時間) `6575664363387012009957808685890018216454076227127935324440031333267767323896223100122959291483443553185261327516506222901981541927172079644439<142>` ```2189725873107277675925282932780804651<37> 3002962354395518067519834097005512424649486493016870093580376928529710475416891536757031324422326144955589<106>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3543440760 Step 1 took 16489ms Step 2 took 6982ms ********** Factor found in step 2: 2189725873107277675925282932780804651 Found probable prime factor of 37 digits: 2189725873107277675925282932780804651```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)

## 19×10220+719

### c205

name 名前 Dmitry Domanov May 6, 2013 05:34:16 UTC 2013 年 5 月 6 日 (月) 14 時 34 分 16 秒 (日本時間) `1400796605028568948745310850172410426129538419485602072055536625309927271753219792616908904535780810539378125182070854420822420888797896199666702747201399351559976356533422772600890152460670000263603821109<205>` `79814748343994757611166305741049305685281<41>` `17550598530878717567144294391927975748577912326956649843772912589435436731156994338126469953669029874331691833903002551522157400839974447613459139241087222048663189<164>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3217544157 Step 1 took 83838ms Step 2 took 29955ms ********** Factor found in step 2: 79814748343994757611166305741049305685281 Found probable prime factor of 41 digits: 79814748343994757611166305741049305685281```

### c164

name 名前 Erik Branger November 29, 2018 07:25:37 UTC 2018 年 11 月 29 日 (木) 16 時 25 分 37 秒 (日本時間) `17550598530878717567144294391927975748577912326956649843772912589435436731156994338126469953669029874331691833903002551522157400839974447613459139241087222048663189<164>` ```2389222993390623827313229641185751889918078671702640522481<58> 7345734818151944060940874703032757982662867345457643322110284557679514588170354353127266475555803595652069<106>``` ```Number: 21119_220 N = 17550598530878717567144294391927975748577912326956649843772912589435436731156994338126469953669029874331691833903002551522157400839974447613459139241087222048663189 (164 digits) SNFS difficulty: 222 digits. Divisors found: r1=2389222993390623827313229641185751889918078671702640522481 (pp58) r2=7345734818151944060940874703032757982662867345457643322110284557679514588170354353127266475555803595652069 (pp106) Version: Msieve v. 1.52 (SVN unknown) Total time: 39.35 hours. Factorization parameters were as follows: n: 17550598530878717567144294391927975748577912326956649843772912589435436731156994338126469953669029874331691833903002551522157400839974447613459139241087222048663189 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 19 c0: 71 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 536870912 lpbr: 29 lpba: 27 mfbr: 58 mfba: 54 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/536870912 Large primes per side: 3 Large prime bits: 29/27 Total raw relations: 30187637 Relations: 7337456 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 19.71 hours. Total relation processing time: 0.24 hours. Pruned matrix : 6696606 x 6696831 Matrix solve time: 19.28 hours. time per square root: 0.12 hours. Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,27,58,54,2.8,2.8,100000 total time: 39.35 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.17134-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 KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:10:20 UTC 2013 年 4 月 16 日 (火) 15 時 10 分 20 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:34:15 UTC 2013 年 4 月 30 日 (火) 19 時 34 分 15 秒 (日本時間)

## 19×10221+719

### c207

name 名前 Dmitry Domanov March 29, 2013 08:52:33 UTC 2013 年 3 月 29 日 (金) 17 時 52 分 33 秒 (日本時間) `316348127964260240813449979644944334894356482966346608948806996385808534604766732583639416307188345813750336430634855289421189738370509480911989539560985784674211313227080182581156718109575949889883318065489<207>` ```29338429285693433925934140836846839<35> 1248904345700532425845374482368685166792758527<46>``` `8633745309037918507489741523752733986286145573866142197854321676122880914722763632786133409854372060094548948646682368490613513<127>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=450050019 Step 1 took 28586ms Step 2 took 9799ms ********** Factor found in step 2: 29338429285693433925934140836846839 Found probable prime factor of 35 digits: 29338429285693433925934140836846839 Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3944897845 Step 1 took 23070ms Step 2 took 9471ms ********** Factor found in step 2: 1248904345700532425845374482368685166792758527 Found probable prime factor of 46 digits: 1248904345700532425845374482368685166792758527```

### c127

name 名前 Dmitry Domanov March 31, 2013 07:58:03 UTC 2013 年 3 月 31 日 (日) 16 時 58 分 3 秒 (日本時間) `8633745309037918507489741523752733986286145573866142197854321676122880914722763632786133409854372060094548948646682368490613513<127>` ```3449824883542127499958764919282042398841605742422889<52> 2502661903282804012003234964586773213808031803093982811988742110351227219617<76>``` ```Sun Mar 31 06:13:49 2013 commencing relation filtering Sun Mar 31 06:13:49 2013 estimated available RAM is 2006.1 MB Sun Mar 31 06:13:49 2013 commencing duplicate removal, pass 1 Sun Mar 31 06:18:13 2013 found 1644909 hash collisions in 12053333 relations Sun Mar 31 06:19:00 2013 added 53 free relations Sun Mar 31 06:19:00 2013 commencing duplicate removal, pass 2 Sun Mar 31 06:19:12 2013 found 1402098 duplicates and 10651288 unique relations Sun Mar 31 06:19:12 2013 memory use: 49.3 MB Sun Mar 31 06:19:12 2013 reading ideals above 720000 Sun Mar 31 06:19:13 2013 commencing singleton removal, initial pass Sun Mar 31 06:23:57 2013 memory use: 344.5 MB Sun Mar 31 06:23:57 2013 reading all ideals from disk Sun Mar 31 06:23:58 2013 memory use: 315.8 MB Sun Mar 31 06:24:01 2013 commencing in-memory singleton removal Sun Mar 31 06:24:05 2013 begin with 10651288 relations and 11449555 unique ideals Sun Mar 31 06:24:41 2013 reduce to 4451520 relations and 4252633 ideals in 21 passes Sun Mar 31 06:24:41 2013 max relations containing the same ideal: 87 Sun Mar 31 06:24:48 2013 removing 388483 relations and 356187 ideals in 32296 cliques Sun Mar 31 06:24:48 2013 commencing in-memory singleton removal Sun Mar 31 06:24:50 2013 begin with 4063037 relations and 4252633 unique ideals Sun Mar 31 06:25:03 2013 reduce to 4037206 relations and 3870325 ideals in 10 passes Sun Mar 31 06:25:03 2013 max relations containing the same ideal: 79 Sun Mar 31 06:25:09 2013 removing 282060 relations and 249764 ideals in 32296 cliques Sun Mar 31 06:25:10 2013 commencing in-memory singleton removal Sun Mar 31 06:25:11 2013 begin with 3755146 relations and 3870325 unique ideals Sun Mar 31 06:25:21 2013 reduce to 3740383 relations and 3605679 ideals in 8 passes Sun Mar 31 06:25:21 2013 max relations containing the same ideal: 76 Sun Mar 31 06:25:28 2013 relations with 0 large ideals: 479 Sun Mar 31 06:25:28 2013 relations with 1 large ideals: 2210 Sun Mar 31 06:25:28 2013 relations with 2 large ideals: 31440 Sun Mar 31 06:25:28 2013 relations with 3 large ideals: 186253 Sun Mar 31 06:25:28 2013 relations with 4 large ideals: 579659 Sun Mar 31 06:25:28 2013 relations with 5 large ideals: 1018387 Sun Mar 31 06:25:28 2013 relations with 6 large ideals: 1046773 Sun Mar 31 06:25:28 2013 relations with 7+ large ideals: 875182 Sun Mar 31 06:25:28 2013 commencing 2-way merge Sun Mar 31 06:25:37 2013 reduce to 2174700 relation sets and 2039996 unique ideals Sun Mar 31 06:25:37 2013 commencing full merge Sun Mar 31 06:27:03 2013 memory use: 232.6 MB Sun Mar 31 06:27:04 2013 found 1084491 cycles, need 1068196 Sun Mar 31 06:27:05 2013 weight of 1068196 cycles is about 75001703 (70.21/cycle) Sun Mar 31 06:27:05 2013 distribution of cycle lengths: Sun Mar 31 06:27:05 2013 1 relations: 146984 Sun Mar 31 06:27:05 2013 2 relations: 131012 Sun Mar 31 06:27:05 2013 3 relations: 124782 Sun Mar 31 06:27:05 2013 4 relations: 108313 Sun Mar 31 06:27:05 2013 5 relations: 96426 Sun Mar 31 06:27:05 2013 6 relations: 80217 Sun Mar 31 06:27:05 2013 7 relations: 69487 Sun Mar 31 06:27:05 2013 8 relations: 58062 Sun Mar 31 06:27:05 2013 9 relations: 48968 Sun Mar 31 06:27:05 2013 10+ relations: 203945 Sun Mar 31 06:27:05 2013 heaviest cycle: 22 relations Sun Mar 31 06:27:06 2013 commencing cycle optimization Sun Mar 31 06:27:10 2013 start with 6245811 relations Sun Mar 31 06:27:35 2013 pruned 134210 relations Sun Mar 31 06:27:35 2013 memory use: 211.7 MB Sun Mar 31 06:27:35 2013 distribution of cycle lengths: Sun Mar 31 06:27:35 2013 1 relations: 146984 Sun Mar 31 06:27:35 2013 2 relations: 133910 Sun Mar 31 06:27:35 2013 3 relations: 128953 Sun Mar 31 06:27:35 2013 4 relations: 110457 Sun Mar 31 06:27:35 2013 5 relations: 97842 Sun Mar 31 06:27:35 2013 6 relations: 81035 Sun Mar 31 06:27:35 2013 7 relations: 69543 Sun Mar 31 06:27:35 2013 8 relations: 58011 Sun Mar 31 06:27:35 2013 9 relations: 48176 Sun Mar 31 06:27:35 2013 10+ relations: 193285 Sun Mar 31 06:27:35 2013 heaviest cycle: 22 relations Sun Mar 31 06:27:39 2013 RelProcTime: 830 Sun Mar 31 06:27:40 2013 Sun Mar 31 06:27:40 2013 commencing linear algebra Sun Mar 31 06:27:40 2013 read 1068196 cycles Sun Mar 31 06:27:45 2013 cycles contain 3598742 unique relations Sun Mar 31 06:29:07 2013 read 3598742 relations Sun Mar 31 06:29:18 2013 using 20 quadratic characters above 134216220 Sun Mar 31 06:30:13 2013 building initial matrix Sun Mar 31 06:31:45 2013 memory use: 461.0 MB Sun Mar 31 06:31:47 2013 read 1068196 cycles Sun Mar 31 06:31:48 2013 matrix is 1068009 x 1068196 (324.8 MB) with weight 102182673 (95.66/col) Sun Mar 31 06:31:48 2013 sparse part has weight 72327456 (67.71/col) Sun Mar 31 06:32:34 2013 filtering completed in 2 passes Sun Mar 31 06:32:34 2013 matrix is 1065104 x 1065290 (324.5 MB) with weight 102049365 (95.79/col) Sun Mar 31 06:32:34 2013 sparse part has weight 72282048 (67.85/col) Sun Mar 31 06:32:42 2013 matrix starts at (0, 0) Sun Mar 31 06:32:43 2013 matrix is 1065104 x 1065290 (324.5 MB) with weight 102049365 (95.79/col) Sun Mar 31 06:32:43 2013 sparse part has weight 72282048 (67.85/col) Sun Mar 31 06:32:43 2013 saving the first 48 matrix rows for later Sun Mar 31 06:32:43 2013 matrix includes 64 packed rows Sun Mar 31 06:32:44 2013 matrix is 1065056 x 1065290 (311.4 MB) with weight 81077012 (76.11/col) Sun Mar 31 06:32:44 2013 sparse part has weight 70980984 (66.63/col) Sun Mar 31 06:32:44 2013 using block size 65536 for processor cache size 2048 kB Sun Mar 31 06:32:52 2013 commencing Lanczos iteration (8 threads) Sun Mar 31 06:32:52 2013 memory use: 299.3 MB Sun Mar 31 06:33:06 2013 linear algebra at 0.1%, ETA 2h32m Sun Mar 31 06:33:11 2013 checkpointing every 410000 dimensions Sun Mar 31 09:09:34 2013 lanczos halted after 16844 iterations (dim = 1065054) Sun Mar 31 09:09:38 2013 recovered 29 nontrivial dependencies Sun Mar 31 09:09:38 2013 BLanczosTime: 9718 Sun Mar 31 09:09:38 2013 Sun Mar 31 09:09:38 2013 commencing square root phase Sun Mar 31 09:09:38 2013 reading relations for dependency 1 Sun Mar 31 09:09:38 2013 read 531988 cycles Sun Mar 31 09:09:41 2013 cycles contain 1797524 unique relations Sun Mar 31 09:10:24 2013 read 1797524 relations Sun Mar 31 09:10:45 2013 multiplying 1797524 relations Sun Mar 31 09:15:50 2013 multiply complete, coefficients have about 83.18 million bits Sun Mar 31 09:15:52 2013 initial square root is modulo 934771 Sun Mar 31 09:22:00 2013 GCD is 1, no factor found Sun Mar 31 09:22:00 2013 reading relations for dependency 2 Sun Mar 31 09:22:01 2013 read 533365 cycles Sun Mar 31 09:22:03 2013 cycles contain 1799816 unique relations Sun Mar 31 09:22:46 2013 read 1799816 relations Sun Mar 31 09:23:07 2013 multiplying 1799816 relations Sun Mar 31 09:28:11 2013 multiply complete, coefficients have about 83.28 million bits Sun Mar 31 09:28:13 2013 initial square root is modulo 950993 Sun Mar 31 09:34:20 2013 sqrtTime: 1482 prp52 = 3449824883542127499958764919282042398841605742422889 prp76 = 2502661903282804012003234964586773213808031803093982811988742110351227219617 NFS elapsed time = 111349.1925 seconds.``` `YAFU 1.33`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)

## 19×10225+719

### c151

name 名前 NFS@Home and Caleb Birtwistle November 11, 2023 01:28:02 UTC 2023 年 11 月 11 日 (土) 10 時 28 分 2 秒 (日本時間) `4902737470322779045000095205942834188952916417389623425279633694873746841005867517231949073013927523377246675748351267765713332464954229993980167966869<151>` ```4444692710947209289525091454575237582953389641202214946375811347<64> 1103054314249309656255723389110369974683440590926814295761726950367081523893141659321527<88>``` ```Msieve v. 1.53 (SVN 1005) Thu Nov 09 07:03:41 2023 random seeds: 2f75be5c 85520a8f factoring 4902737470322779045000095205942834188952916417389623425279633694873746841005867517231949073013927523377246675748351267765713332464954229993980167966869 (151 digits) searching for 15-digit factors commencing number field sieve (151-digit input) R0: -103343246984629313758552958652 R1: 24364837955404017980393 A0: 57994586801399960788010844644007783 A1: 522671367722987729718103530429 A2: -2695261296203260798804903 A3: -4198390204866137699 A4: 4668602337750 A5: 5405400 skew 604214.48, size 1.310e-014, alpha -7.473, combined = 5.252e-012 rroots = 5 commencing relation filtering setting target matrix density to 130.0 estimated available RAM is 16335.2 MB commencing duplicate removal, pass 1 error -1 reading relation 5647071 read 10M relations error -1 reading relation 16019318 read 20M relations read 30M relations error -15 reading relation 30848927 read 40M relations read 50M relations read 60M relations read 70M relations read 80M relations error -1 reading relation 81284589 read 90M relations read 100M relations error -9 reading relation 103615619 error -5 reading relation 105019913 read 110M relations error -9 reading relation 118126460 error -15 reading relation 119657872 read 120M relations error -15 reading relation 128691353 read 130M relations error -15 reading relation 136838543 error -9 reading relation 137061557 read 140M relations read 150M relations read 160M relations error -15 reading relation 164230833 read 170M relations error -1 reading relation 170953599 skipped 7 relations with composite factors found 18286144 hash collisions in 171198964 relations added 121573 free relations commencing duplicate removal, pass 2 found 14191943 duplicates and 157128594 unique relations memory use: 788.8 MB reading ideals above 51314688 commencing singleton removal, initial pass memory use: 3012.0 MB reading all ideals from disk memory use: 2730.9 MB commencing in-memory singleton removal begin with 157128594 relations and 135251325 unique ideals reduce to 87672954 relations and 57797685 ideals in 12 passes max relations containing the same ideal: 30 reading ideals above 720000 commencing singleton removal, initial pass memory use: 1506.0 MB reading all ideals from disk memory use: 3115.8 MB keeping 63488635 ideals with weight <= 200, target excess is 457059 commencing in-memory singleton removal begin with 87672955 relations and 63488635 unique ideals reduce to 87672748 relations and 63488427 ideals in 5 passes max relations containing the same ideal: 200 removing 8856271 relations and 6856271 ideals in 2000000 cliques commencing in-memory singleton removal begin with 78816477 relations and 63488427 unique ideals reduce to 78140759 relations and 55936970 ideals in 7 passes max relations containing the same ideal: 194 removing 6893882 relations and 4893882 ideals in 2000000 cliques commencing in-memory singleton removal begin with 71246877 relations and 55936970 unique ideals reduce to 70786273 relations and 50570297 ideals in 7 passes max relations containing the same ideal: 183 removing 6352955 relations and 4352955 ideals in 2000000 cliques commencing in-memory singleton removal begin with 64433318 relations and 50570297 unique ideals reduce to 64031024 relations and 45804062 ideals in 7 passes max relations containing the same ideal: 173 removing 6059861 relations and 4059861 ideals in 2000000 cliques commencing in-memory singleton removal begin with 57971163 relations and 45804062 unique ideals reduce to 57593357 relations and 41355507 ideals in 7 passes max relations containing the same ideal: 163 removing 5868402 relations and 3868402 ideals in 2000000 cliques commencing in-memory singleton removal begin with 51724955 relations and 41355507 unique ideals reduce to 51353924 relations and 37104229 ideals in 6 passes max relations containing the same ideal: 148 removing 5733915 relations and 3733915 ideals in 2000000 cliques commencing in-memory singleton removal begin with 45620009 relations and 37104229 unique ideals reduce to 45245932 relations and 32983039 ideals in 7 passes max relations containing the same ideal: 141 removing 5630230 relations and 3630230 ideals in 2000000 cliques commencing in-memory singleton removal begin with 39615702 relations and 32983039 unique ideals reduce to 39226630 relations and 28948435 ideals in 6 passes max relations containing the same ideal: 125 removing 5550898 relations and 3550898 ideals in 2000000 cliques commencing in-memory singleton removal begin with 33675732 relations and 28948435 unique ideals reduce to 33257536 relations and 24960972 ideals in 6 passes max relations containing the same ideal: 113 removing 5487346 relations and 3487346 ideals in 2000000 cliques commencing in-memory singleton removal begin with 27770190 relations and 24960972 unique ideals reduce to 27306108 relations and 20985644 ideals in 7 passes max relations containing the same ideal: 101 removing 5436232 relations and 3436232 ideals in 2000000 cliques commencing in-memory singleton removal begin with 21869876 relations and 20985644 unique ideals reduce to 21336478 relations and 16983552 ideals in 7 passes max relations containing the same ideal: 85 removing 5390287 relations and 3390287 ideals in 2000000 cliques commencing in-memory singleton removal begin with 15946191 relations and 16983552 unique ideals reduce to 15299726 relations and 12895906 ideals in 7 passes max relations containing the same ideal: 65 removing 5021480 relations and 3147849 ideals in 1873631 cliques commencing in-memory singleton removal begin with 10278246 relations and 12895906 unique ideals reduce to 9504951 relations and 8893383 ideals in 8 passes max relations containing the same ideal: 49 removing 402770 relations and 321391 ideals in 81379 cliques commencing in-memory singleton removal begin with 9102181 relations and 8893383 unique ideals reduce to 9087168 relations and 8556835 ideals in 6 passes max relations containing the same ideal: 49 relations with 0 large ideals: 1447 relations with 1 large ideals: 13983 relations with 2 large ideals: 168304 relations with 3 large ideals: 806897 relations with 4 large ideals: 1923972 relations with 5 large ideals: 2594214 relations with 6 large ideals: 2124687 relations with 7+ large ideals: 1453664 commencing 2-way merge reduce to 5914558 relation sets and 5384225 unique ideals commencing full merge memory use: 715.4 MB found 2656321 cycles, need 2622425 weight of 2622425 cycles is about 341310580 (130.15/cycle) distribution of cycle lengths: 1 relations: 43804 2 relations: 114253 3 relations: 157428 4 relations: 177823 5 relations: 194745 6 relations: 199943 7 relations: 201234 8 relations: 192250 9 relations: 181207 10+ relations: 1159738 heaviest cycle: 28 relations commencing cycle optimization start with 25088647 relations pruned 1350542 relations memory use: 631.5 MB distribution of cycle lengths: 1 relations: 43804 2 relations: 117802 3 relations: 165096 4 relations: 187290 5 relations: 207342 6 relations: 212784 7 relations: 215156 8 relations: 204215 9 relations: 192247 10+ relations: 1076689 heaviest cycle: 28 relations RelProcTime: 4616 commencing linear algebra read 2622425 cycles cycles contain 8825315 unique relations read 8825315 relations using 20 quadratic characters above 4294917295 building initial matrix memory use: 1253.3 MB read 2622425 cycles matrix is 2622246 x 2622425 (1314.0 MB) with weight 402278277 (153.40/col) sparse part has weight 312987251 (119.35/col) filtering completed in 2 passes matrix is 2622160 x 2622339 (1314.0 MB) with weight 402271878 (153.40/col) sparse part has weight 312983970 (119.35/col) matrix starts at (0, 0) matrix is 2622160 x 2622339 (1314.0 MB) with weight 402271878 (153.40/col) sparse part has weight 312983970 (119.35/col) saving the first 48 matrix rows for later matrix includes 64 packed rows matrix is 2622112 x 2622339 (1272.9 MB) with weight 345069938 (131.59/col) sparse part has weight 307458998 (117.25/col) using block size 8192 and superblock size 589824 for processor cache size 6144 kB commencing Lanczos iteration (4 threads) memory use: 1042.8 MB linear algebra at 0.1%, ETA 3h49m2622339 dimensions (0.1%, ETA 3h49m) checkpointing every 670000 dimensions339 dimensions (0.1%, ETA 3h57m) linear algebra completed 2622112 of 2622339 dimensions (100.0%, ETA 0h 0m) lanczos halted after 41469 iterations (dim = 2622112) recovered 29 nontrivial dependencies BLanczosTime: 13908 commencing square root phase handling dependencies 1 to 64 reading relations for dependency 1 read 1311487 cycles cycles contain 4413868 unique relations read 4413868 relations multiplying 4413868 relations multiply complete, coefficients have about 247.94 million bits initial square root is modulo 790382237 sqrtTime: 801 p64 factor: 4444692710947209289525091454575237582953389641202214946375811347 p88 factor: 1103054314249309656255723389110369974683440590926814295761726950367081523893141659321527 elapsed time 05:22:06```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:10:31 UTC 2013 年 4 月 16 日 (火) 15 時 10 分 31 秒 (日本時間)
4511e642741000Dmitry DomanovApril 30, 2013 10:35:05 UTC 2013 年 4 月 30 日 (火) 19 時 35 分 5 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:13 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 13 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:13 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 13 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:15 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 15 秒 (日本時間)
1124Ignacio SantosJanuary 9, 2016 00:19:23 UTC 2016 年 1 月 9 日 (土) 9 時 19 分 23 秒 (日本時間)
5043e66600yoyo@HomeSeptember 24, 2021 18:25:16 UTC 2021 年 9 月 25 日 (土) 3 時 25 分 16 秒 (日本時間)

## 19×10226+719

### c205

composite cofactor 合成数の残り `1159000518882060604359611302179716382828589377737167797120222327469532996509024148121459397804473872004569129648046413961896556181937533316635318163434748249760152898370688909646898347533160138628257628583<205>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:10:40 UTC 2013 年 4 月 16 日 (火) 15 時 10 分 40 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:35:15 UTC 2013 年 4 月 30 日 (火) 19 時 35 分 15 秒 (日本時間)

## 19×10227+719

### c221

composite cofactor 合成数の残り `14732199740187577655654044963092311676681809894779605477738913459484229253839127899057510623137234495811670505916687906234107881836189430004911482779698430165484706158406085781768715179815918683033768396126892282241746729<221>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:10:48 UTC 2013 年 4 月 16 日 (火) 15 時 10 分 48 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:35:25 UTC 2013 年 4 月 30 日 (火) 19 時 35 分 25 秒 (日本時間)

## 19×10228+719

### c214

composite cofactor 合成数の残り `3394217098548161809626292131112526176770052125440651051848007094495705383869297519194208047189302597870237330712508469988943007982015039171866752547220315157781662583131634929510348268643673112638690060427002240921<214>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:10:57 UTC 2013 年 4 月 16 日 (火) 15 時 10 分 57 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:35:34 UTC 2013 年 4 月 30 日 (火) 19 時 35 分 34 秒 (日本時間)

## 19×10229+719

### c214

composite cofactor 合成数の残り `7366604835356721890687407473667817100072525465269384731999035378699651373929606274125030636188056704590921048434081236503141218543011286359260929411306309891091297580555069376658622877960761123595383648720967569473<214>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:11:11 UTC 2013 年 4 月 16 日 (火) 15 時 11 分 11 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:35:46 UTC 2013 年 4 月 30 日 (火) 19 時 35 分 46 秒 (日本時間)

## 19×10232+719

### c218

composite cofactor 合成数の残り `12553052253971530050561180000119324405456114524809660718261224055343190126801598172549702315932647663947335494011283394853111408556702848336095240608427637083087949031936788980074529754195389923103273692148004108858257<218>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:11:22 UTC 2013 年 4 月 16 日 (火) 15 時 11 分 22 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:35:57 UTC 2013 年 4 月 30 日 (火) 19 時 35 分 57 秒 (日本時間)

## 19×10233+719

### c221

composite cofactor 合成数の残り `33845047123943253479326307720849105690652113951772023313552140828370765677655028821673249568356624765022330647429363494795736045355434523973152728112383447202618752559164210693773129600652142295933583158930589769101636381<221>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:11:30 UTC 2013 年 4 月 16 日 (火) 15 時 11 分 30 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:36:09 UTC 2013 年 4 月 30 日 (火) 19 時 36 分 9 秒 (日本時間)

## 19×10235+719

### c213

composite cofactor 合成数の残り `147172159113435428507223676688833455122451575699790027749087432298358664016575560934121878488173368252004068409699979851614514230713134332316098615454070091760984469916157987371183285244696484928552968082988686777<213>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:11:38 UTC 2013 年 4 月 16 日 (火) 15 時 11 分 38 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:36:30 UTC 2013 年 4 月 30 日 (火) 19 時 36 分 30 秒 (日本時間)

## 19×10236+719

### c232

composite cofactor 合成数の残り `7178452552317695641168047574249757254959743993713186817338607606892825703393896804077361049716451124183451022173862120817134588429090112248329120715124999527733384715941076238944238536200180594753684624132446227723183757050940566191<232>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:11:47 UTC 2013 年 4 月 16 日 (火) 15 時 11 分 47 秒 (日本時間)
4511e639501000Dmitry DomanovApril 30, 2013 10:36:40 UTC 2013 年 4 月 30 日 (火) 19 時 36 分 40 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:17:00 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 0 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:38 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 38 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:31 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 31 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:17 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 17 秒 (日本時間)
5043e687 / 6628KTakahashiSeptember 16, 2014 11:04:32 UTC 2014 年 9 月 16 日 (火) 20 時 4 分 32 秒 (日本時間)

## 19×10237+719

### c203

composite cofactor 合成数の残り `18424720400114484209392152271847421351267034576458711150126038505735306709394700560240220917417424730854653136798071302790904984622190259547687573299164697587645557113232701368234737830619451957770303679<203>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:11:55 UTC 2013 年 4 月 16 日 (火) 15 時 11 分 55 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:36:51 UTC 2013 年 4 月 30 日 (火) 19 時 36 分 51 秒 (日本時間)

## 19×10238+719

### c209

name 名前 Dmitry Domanov May 6, 2013 05:36:00 UTC 2013 年 5 月 6 日 (月) 14 時 36 分 0 秒 (日本時間) `20281346933735282817429061555005884273735867856465767448477744860434753011634810325408204729962583281089912534373917077461890407929429006123432538031740164112345972709505146839739193121565340845029698786781813<209>` `230224427736796332449924085644546700491<39>` `88093809736479817113625909543582617611270789958491135539054438115021358706100604322222928646921200729532278943374581729881064053469609563035615488182841135170801461687743<170>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3530944028 Step 1 took 90010ms Step 2 took 26015ms ********** Factor found in step 2: 230224427736796332449924085644546700491 Found probable prime factor of 39 digits: 230224427736796332449924085644546700491```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:12:05 UTC 2013 年 4 月 16 日 (火) 15 時 12 分 5 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:37:04 UTC 2013 年 4 月 30 日 (火) 19 時 37 分 4 秒 (日本時間)

## 19×10239+719

### c201

name 名前 Dmitry Domanov March 29, 2013 08:54:01 UTC 2013 年 3 月 29 日 (金) 17 時 54 分 1 秒 (日本時間) `224049913453925970660202596961248762059344011885205582378849991751103627103187432184918703864918288012603421661880794277195043906620670952039340504487635554274574213159925306570209831171167907754581631<201>` ```234940120659662939464346828371257622837<39> 953646881702624760152676004251682085639152621932557136991193424957606902532600349501937705593660418358092846047549781369397935997307062906068561438949924266961763<162>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=519977547 Step 1 took 21859ms Step 2 took 7572ms ********** Factor found in step 2: 234940120659662939464346828371257622837 Found probable prime factor of 39 digits: 234940120659662939464346828371257622837```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)

## 19×10242+719

### c201

name 名前 Dmitry Domanov May 6, 2013 05:35:26 UTC 2013 年 5 月 6 日 (月) 14 時 35 分 26 秒 (日本時間) `652670438216829967130549959721361342676426947703294594861547017979438637158433739861236405514861727636172443046346304911800829253334858231973877128278199044731173469706339133358455119878628956525695663<201>` `7580377919709847674928161143069052467<37>` `86099986719634695794415803280225787150026764308977792963193168913762664597621496286174658824292317238319409689034697421165425572117109775234522182943113298223658389<164>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2068783446 Step 1 took 90049ms Step 2 took 30526ms ********** Factor found in step 2: 7580377919709847674928161143069052467 Found probable prime factor of 37 digits: 7580377919709847674928161143069052467```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:12:13 UTC 2013 年 4 月 16 日 (火) 15 時 12 分 13 秒 (日本時間)
4511e622501000Dmitry DomanovApril 30, 2013 10:37:19 UTC 2013 年 4 月 30 日 (火) 19 時 37 分 19 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:14 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 14 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:52 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 52 秒 (日本時間)
5043e6600 / 7010500Dmitry DomanovMay 22, 2013 09:08:03 UTC 2013 年 5 月 22 日 (水) 18 時 8 分 3 秒 (日本時間)
100Erik BrangerMarch 10, 2014 21:49:07 UTC 2014 年 3 月 11 日 (火) 6 時 49 分 7 秒 (日本時間)

## 19×10243+719

### c216

name 名前 Dmitry Domanov March 29, 2013 08:57:44 UTC 2013 年 3 月 29 日 (金) 17 時 57 分 44 秒 (日本時間) `414956185565301219709006460292347543015840349364266751680915456966377863785397036138354367293781408728966339812798275502961774540587855104591203320813650677828829014600902876217930194907347176280961201672259512908379<216>` ```1825663088028213005288541702265000973<37> 227290669503248820051881947852889130506544447126074259910553633805727345500743144621196538046530280153662498145452559775823757291863406442968257749295098527880847936561312309782023<180>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=38542110 Step 1 took 41662ms Step 2 took 13502ms ********** Factor found in step 2: 1825663088028213005288541702265000973 Found probable prime factor of 37 digits: 1825663088028213005288541702265000973```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)

## 19×10244+719

### c236

composite cofactor 合成数の残り `20659279589171940819549034942382096140648276278540545074173896052369587091471989792577893870359528289831097544723267442319297095517090871434320895207790075626051493654296170688673769834337837469795563751278789426871719398076792672748343<236>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:12:22 UTC 2013 年 4 月 16 日 (火) 15 時 12 分 22 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:37:32 UTC 2013 年 4 月 30 日 (火) 19 時 37 分 32 秒 (日本時間)

## 19×10245+719

### c235

composite cofactor 合成数の残り `8135713942675363470535112483203412475467218180983872450147541363539695369409195822458037240522791175191769780004428241095014418707076947356378333120755970247695361966970136256321752216091680056616183946035737858207256210112009644806597<235>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:12:30 UTC 2013 年 4 月 16 日 (火) 15 時 12 分 30 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:37:44 UTC 2013 年 4 月 30 日 (火) 19 時 37 分 44 秒 (日本時間)

## 19×10246+719

### c212

name 名前 Dmitry Domanov May 6, 2013 05:43:36 UTC 2013 年 5 月 6 日 (月) 14 時 43 分 36 秒 (日本時間) `71007133479056862048316401496652924559942278748331454272497014976002174318837216155467370415431888060647569965311037950336074666453575459434855785432364206515039970747211277358990028388048691134767519656660389013<212>` ```16482086925602967646920811692088920136007<41> 4308139727667356248584931498048837022047492524021443957897590855028060380400260473367735480078305488813274745245465712393879124040113500000374997680540592706223500975937859<172>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2963972927 Step 1 took 87104ms Step 2 took 30388ms ********** Factor found in step 2: 16482086925602967646920811692088920136007 Found probable prime factor of 41 digits: 16482086925602967646920811692088920136007```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:12:38 UTC 2013 年 4 月 16 日 (火) 15 時 12 分 38 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:38:02 UTC 2013 年 4 月 30 日 (火) 19 時 38 分 2 秒 (日本時間)

## 19×10247+719

### c210

name 名前 Dmitry Domanov May 6, 2013 05:34:52 UTC 2013 年 5 月 6 日 (月) 14 時 34 分 52 秒 (日本時間) `644011144640226650841958817001248375876693096064441769973049078772176513380574056599887558729446449239390413329685573393797512220837120957340138236895192125244316375410196693822356119902423373165994192312403497<210>` ```1312557389366862230223897512308976009<37> 490653703874143013773453320544137343438327617395673781295538506403811714641381629806803667537281283371675453283358654676459712016627566687888078557761054023451742399255932833<174>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1190784039 Step 1 took 94420ms Step 2 took 33246ms ********** Factor found in step 2: 1312557389366862230223897512308976009 Found probable prime factor of 37 digits: 1312557389366862230223897512308976009```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:12:47 UTC 2013 年 4 月 16 日 (火) 15 時 12 分 47 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:38:12 UTC 2013 年 4 月 30 日 (火) 19 時 38 分 12 秒 (日本時間)

## 19×10248+719

### c226

composite cofactor 合成数の残り `1554218750554204935187193712640793898830269515471663840677165456645212856708974347036378707791716317935318281685022673668090677207160792043610086046829222034909370452394535409093604335218323493326067017561339741582173333903817<226>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:12:55 UTC 2013 年 4 月 16 日 (火) 15 時 12 分 55 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:38:24 UTC 2013 年 4 月 30 日 (火) 19 時 38 分 24 秒 (日本時間)

## 19×10250+719

### c189

composite cofactor 合成数の残り `383928200700181391241577627431163096733141374054644536744743754033100644976443705922879045606619095512288787581372628913894066405233594927423029312203192714221789294054095049781133172435047<189>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:13:04 UTC 2013 年 4 月 16 日 (火) 15 時 13 分 4 秒 (日本時間)
4511e62000Dmitry DomanovApril 17, 2013 07:49:12 UTC 2013 年 4 月 17 日 (水) 16 時 49 分 12 秒 (日本時間)
5043e6500 / 6897Dmitry DomanovMay 2, 2013 19:51:42 UTC 2013 年 5 月 3 日 (金) 4 時 51 分 42 秒 (日本時間)
5511e770 / 17458Dmitry DomanovMay 6, 2013 11:06:45 UTC 2013 年 5 月 6 日 (月) 20 時 6 分 45 秒 (日本時間)

## 19×10251+719

### c247

composite cofactor 合成数の残り `1487714221060239114825698618853097616760118609973792739484796735171991509066835169877388857960093240531286238565154444311333172033791471012671410126009394523802253025736673016857368139582046264780245034362283469067680817960938888614836269219897473<247>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2016 14:22:54 UTC 2016 年 2 月 15 日 (月) 23 時 22 分 54 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovFebruary 17, 2016 20:19:19 UTC 2016 年 2 月 18 日 (木) 5 時 19 分 19 秒 (日本時間)

## 19×10252+719

### c253

name 名前 NFS@home + Rich Dickerson February 26, 2020 13:44:51 UTC 2020 年 2 月 26 日 (水) 22 時 44 分 51 秒 (日本時間) `2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119<253>` ```1087578335999404423668929563256008458146380105443318240076043946558020847414465430243724487924865350037<103> 1941111772119987494251216830920448674800068100090322054144084579906696707336306917609394771450821350134036532554113939572978723617314751053647958936787<151>``` ```p103 factor: 1087578335999404423668929563256008458146380105443318240076043946558020847414465430243724487924865350037 p151 factor: 1941111772119987494251216830920448674800068100090322054144084579906696707336306917609394771450821350134036532554113939572978723617314751053647958936787 Complete post-processing log at: https://pastebin.com/A5ZVSUcJ``` `GGNFS-lasieve4I14e + Msieve` `Core i5-2500K, Linux-OpenSUSE`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e626081200Dmitry DomanovFebruary 13, 2016 21:09:59 UTC 2016 年 2 月 14 日 (日) 6 時 9 分 59 秒 (日本時間)
1408Ben MeekinsFebruary 15, 2016 02:26:33 UTC 2016 年 2 月 15 日 (月) 11 時 26 分 33 秒 (日本時間)
4511e650621200Dmitry DomanovFebruary 15, 2016 14:08:11 UTC 2016 年 2 月 15 日 (月) 23 時 8 分 11 秒 (日本時間)
3862Ben MeekinsFebruary 16, 2016 14:18:21 UTC 2016 年 2 月 16 日 (火) 23 時 18 分 21 秒 (日本時間)
5043e66313Ben MeekinsMarch 4, 2016 04:24:38 UTC 2016 年 3 月 4 日 (金) 13 時 24 分 38 秒 (日本時間)
5511e710000yoyo@homeJanuary 31, 2020 00:35:56 UTC 2020 年 1 月 31 日 (金) 9 時 35 分 56 秒 (日本時間)
6026e78000 / 37416yoyo@homeFebruary 11, 2020 01:48:09 UTC 2020 年 2 月 11 日 (火) 10 時 48 分 9 秒 (日本時間)

## 19×10254+719

### c249

composite cofactor 合成数の残り `660240098049129508180201067434491151218959593653494181721009639157936728843909163472320823868444033010614923302687767940200316845748105892781873003859624615279832340714470134734154324520518003531242040197502137961685919615420567730035468793056776131<249>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2016 14:23:13 UTC 2016 年 2 月 15 日 (月) 23 時 23 分 13 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovFebruary 17, 2016 20:20:01 UTC 2016 年 2 月 18 日 (木) 5 時 20 分 1 秒 (日本時間)

## 19×10256+719

### c247

name 名前 Dmitry Domanov February 18, 2016 10:43:21 UTC 2016 年 2 月 18 日 (木) 19 時 43 分 21 秒 (日本時間) `1881655476965779301754594148668081174848105913493384977219447648480596821096264171110568915650665378161523938657982369417995592262233407270023178844891708468769357298916661729670633115233531873179539369645699841613449683248499285855083903005388109<247>` ```78811362229051359328225058148839807<35> 23875433995127234200309671920102706130776416373908651484456871003797494926644050271207960080484321442402082919711545442664980526200575643890463330534007367395858222116856889102981984295910935214170526918317780787<212>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=336705702 Step 1 took 128313ms Step 2 took 39844ms ********** Factor found in step 2: 78811362229051359328225058148839807 Found probable prime factor of 35 digits: 78811362229051359328225058148839807```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2016 14:23:31 UTC 2016 年 2 月 15 日 (月) 23 時 23 分 31 秒 (日本時間)
4511e6800 / 4218Dmitry DomanovFebruary 18, 2016 10:28:36 UTC 2016 年 2 月 18 日 (木) 19 時 28 分 36 秒 (日本時間)

## 19×10257+719

### c236

composite cofactor 合成数の残り `90719104015692196522280342908840008716560759401786907071581726768538673398322229872741447081502679787437262993605009674071524052115231246889415050481676064784286025352940434405684059713631285273570245884936730452443299276135078283534007<236>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 14, 2016 22:10:32 UTC 2016 年 2 月 15 日 (月) 7 時 10 分 32 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovFebruary 16, 2016 16:18:02 UTC 2016 年 2 月 17 日 (水) 1 時 18 分 2 秒 (日本時間)

## 19×10258+719

### c255

composite cofactor 合成数の残り `102188446251566441314250985580672399976335307183847771485120824391844286321269718336372095024498335403993954746653328385261199046958280222232978900775018689728985483862293001167099622978416724483813887947679515519197982047103495382695731212116322721869941<255>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e623661000Dmitry DomanovFebruary 15, 2016 14:23:53 UTC 2016 年 2 月 15 日 (月) 23 時 23 分 53 秒 (日本時間)
1366Ignacio SantosFebruary 22, 2016 19:09:24 UTC 2016 年 2 月 23 日 (火) 4 時 9 分 24 秒 (日本時間)

## 19×10259+719

### c252

composite cofactor 合成数の残り `647982659629343073508554597158508048301023059237111666677801737107139325271958407507311554970365826079346506622998364938534087177261109827252836282341637309556489530477664885215686638423285211856037774360590065696676868335138118509978334426940488859877<252>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 15, 2016 14:24:11 UTC 2016 年 2 月 15 日 (月) 23 時 24 分 11 秒 (日本時間)
2350Ignacio SantosFebruary 22, 2016 22:24:20 UTC 2016 年 2 月 23 日 (火) 7 時 24 分 20 秒 (日本時間)

## 19×10260+719

### c260

composite cofactor 合成数の残り `23456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456791<260>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e626291000Dmitry DomanovFebruary 15, 2016 14:24:28 UTC 2016 年 2 月 15 日 (月) 23 時 24 分 28 秒 (日本時間)
1629Ignacio SantosFebruary 22, 2016 23:41:02 UTC 2016 年 2 月 23 日 (火) 8 時 41 分 2 秒 (日本時間)

## 19×10261+719

### c221

composite cofactor 合成数の残り `62176306089796088624295459539973302922511088694196219071159397688637135763691981678650933265618152015036814482189201311621395915721082766776605791885111118464387520966095378515239668048555904725777482668744376097118934357<221>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 14, 2016 22:09:57 UTC 2016 年 2 月 15 日 (月) 7 時 9 分 57 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovFebruary 16, 2016 16:16:14 UTC 2016 年 2 月 17 日 (水) 1 時 16 分 14 秒 (日本時間)

## 19×10262+719

### c233

name 名前 Dmitry Domanov February 15, 2016 11:20:58 UTC 2016 年 2 月 15 日 (月) 20 時 20 分 58 秒 (日本時間) `31121948143227369703625013289026622141511291994584880579681987787254398098974594237670153087673173528642291451992453021460724197908207292457189881501458098410873765635026713655956897146354582393552490498654748794576572551400270144031<233>` `59716235568607533994382306573751223<35>` `521163932168356418092338486513913517927544401582230142931113778138680709258911363771765883062340521069640901780635388163945085466264470673329332750707583312504060672275416372846921281110968951239897<198>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3387484903 Step 1 took 23491ms Step 2 took 7953ms ********** Factor found in step 2: 59716235568607533994382306573751223 Found probable prime factor of 35 digits: 59716235568607533994382306573751223```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 14, 2016 22:10:51 UTC 2016 年 2 月 15 日 (月) 7 時 10 分 51 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovFebruary 16, 2016 07:33:31 UTC 2016 年 2 月 16 日 (火) 16 時 33 分 31 秒 (日本時間)

## 19×10263+719

### c256

name 名前 Dmitry Domanov February 16, 2016 07:32:56 UTC 2016 年 2 月 16 日 (火) 16 時 32 分 56 秒 (日本時間) `5033564216830697410733772088991857597903837353311242397592712219220072061088161899686633870134610144053481418461257486761149899094654927303424355725437818024726663620724496846179276657694497404825427396162477931894122346537747231884744816401791642608547799<256>` ```3741668086386274247324990488254301<34> 1345272776905271757818843687197206347670433531895644543077229809806809264571225037039647079643442328808264482310257552876978779213846289330234484343338575807679976652109321848584170347087691547944511189045106048502651772099<223>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2597250155 Step 1 took 48763ms Step 2 took 14869ms ********** Factor found in step 2: 3741668086386274247324990488254301 Found probable prime factor of 34 digits: 3741668086386274247324990488254301```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovFebruary 15, 2016 14:24:44 UTC 2016 年 2 月 15 日 (月) 23 時 24 分 44 秒 (日本時間)

## 19×10264+719

### c263

composite cofactor 合成数の残り `12202954399486191393705844572896596017983301220295439948619139370584457289659601798330122029543994861913937058445728965960179833012202954399486191393705844572896596017983301220295439948619139370584457289659601798330122029543994861913937058445728965960179833012203<263>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e621041000Dmitry DomanovFebruary 15, 2016 14:25:02 UTC 2016 年 2 月 15 日 (月) 23 時 25 分 2 秒 (日本時間)
1104ebinaJuly 13, 2022 05:15:39 UTC 2022 年 7 月 13 日 (水) 14 時 15 分 39 秒 (日本時間)

## 19×10265+719

### c265

composite cofactor 合成数の残り `1241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183007<265>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e626501000Dmitry DomanovFebruary 15, 2016 14:25:18 UTC 2016 年 2 月 15 日 (月) 23 時 25 分 18 秒 (日本時間)
1650ebinaJuly 20, 2022 15:06:54 UTC 2022 年 7 月 21 日 (木) 0 時 6 分 54 秒 (日本時間)

## 19×10266+719

### c214

name 名前 Dmitry Domanov February 15, 2016 09:35:57 UTC 2016 年 2 月 15 日 (月) 18 時 35 分 57 秒 (日本時間) `2239061225661044910084031236669779960245026418684755005058641709120338229979034486666297301517405313363367662505409963673145026975126536338927722225210876730065746670939138762602170195225135814816020864939206819807<214>` ```192411945438091783574253923350983361733<39> 11636809869382351076446091858149882193178547676569688279674780992786131354804600745792208404274030411669269747156474006334629066091786001746360366527730455973495876198703031379<176>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4114774332 Step 1 took 26508ms Step 2 took 8449ms ********** Factor found in step 2: 192411945438091783574253923350983361733 Found probable prime factor of 39 digits: 192411945438091783574253923350983361733```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 14, 2016 22:11:30 UTC 2016 年 2 月 15 日 (月) 7 時 11 分 30 秒 (日本時間)

## 19×10267+719

### c251

composite cofactor 合成数の残り `25579526790606242425065735420934561576414713561533533097442302569570097818651281478818978602525101911769233161415542109861371208041299983043374777083840927446924546596332411453300332049824470411197269995307886996531856887498137984930456820946807128569<251>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e626501000Dmitry DomanovFebruary 15, 2016 14:25:36 UTC 2016 年 2 月 15 日 (月) 23 時 25 分 36 秒 (日本時間)
1650ebinaJuly 20, 2022 16:06:15 UTC 2022 年 7 月 21 日 (木) 1 時 6 分 15 秒 (日本時間)

## 19×10268+719

### c225

composite cofactor 合成数の残り `833865096338805590845735440014155488936474552989234912874633258652275125750431714038308336574915315356051130896452854936776787563381181296039412603120631693348720572536860184083137135250627946980414258328999781703819623156949<225>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 14, 2016 22:12:11 UTC 2016 年 2 月 15 日 (月) 7 時 12 分 11 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovFebruary 16, 2016 16:16:48 UTC 2016 年 2 月 17 日 (水) 1 時 16 分 48 秒 (日本時間)

## 19×10271+719

### c241

composite cofactor 合成数の残り `1251041412859551283143561604076390448761972008466263775411903948450829677272725826378238633556425520656601949839962246072344219318603261292103154295807455042921515393982778351714847050357746921089878746280531300186515474834733548635868430407<241>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e62250600Dmitry DomanovFebruary 15, 2016 12:41:06 UTC 2016 年 2 月 15 日 (月) 21 時 41 分 6 秒 (日本時間)
1650ebinaJuly 20, 2022 21:02:27 UTC 2022 年 7 月 21 日 (木) 6 時 2 分 27 秒 (日本時間)

## 19×10272+719

### c226

composite cofactor 合成数の残り `2355883099134822045479216505155331831727065182345855857054970261011594336525516059764034423646310692825781646591811199076373756422786606508513334528691610305442852726887763581458340401202717345266687823084855976679579303901439<226>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 14, 2016 22:13:17 UTC 2016 年 2 月 15 日 (月) 7 時 13 分 17 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovFebruary 16, 2016 16:17:02 UTC 2016 年 2 月 17 日 (水) 1 時 17 分 2 秒 (日本時間)

## 19×10273+719

### c227

composite cofactor 合成数の残り `16441258185049240825077440444036494881965550595299020514153177167027564614263618443535125092355571280731136491586179585369125929713996146022301291969402219914629723582075063208818209326624743479099254148692245997874439232803671<227>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 14, 2016 22:13:38 UTC 2016 年 2 月 15 日 (月) 7 時 13 分 38 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovFebruary 16, 2016 16:17:16 UTC 2016 年 2 月 17 日 (水) 1 時 17 分 16 秒 (日本時間)

## 19×10274+719

### c198

name 名前 Dmitry Domanov February 15, 2016 12:32:10 UTC 2016 年 2 月 15 日 (月) 21 時 32 分 10 秒 (日本時間) `800824784030374004238451917414359492455514252888388303143775236653400439614174095200305070826396559274237262288391181907698137588200614269816118949463249600206430726247781310297020517581483571273869<198>` `147442362537071797178302541204812003<36>` `5431442973718090361793127478348372712627004293594781587294317096691583562605062010707763470462320399284571560866572141280539795180739048483463409656769907263132623<163>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4015962571 Step 1 took 20437ms Step 2 took 7166ms ********** Factor found in step 2: 147442362537071797178302541204812003 Found probable prime factor of 36 digits: 147442362537071797178302541204812003```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 14, 2016 22:13:53 UTC 2016 年 2 月 15 日 (月) 7 時 13 分 53 秒 (日本時間)
4511e61600Dmitry DomanovFebruary 15, 2016 14:03:38 UTC 2016 年 2 月 15 日 (月) 23 時 3 分 38 秒 (日本時間)
5043e6600 / 6963Dmitry DomanovFebruary 27, 2016 20:24:17 UTC 2016 年 2 月 28 日 (日) 5 時 24 分 17 秒 (日本時間)
5511e780 / 17445Dmitry DomanovFebruary 29, 2016 21:18:43 UTC 2016 年 3 月 1 日 (火) 6 時 18 分 43 秒 (日本時間)
6026e72 / 41891Dmitry DomanovFebruary 29, 2016 21:19:15 UTC 2016 年 3 月 1 日 (火) 6 時 19 分 15 秒 (日本時間)

## 19×10279+719

### c267

name 名前 ebina July 20, 2022 21:15:53 UTC 2022 年 7 月 21 日 (木) 6 時 15 分 53 秒 (日本時間) `877635053453684694947529604741264265445753942407823279287067885562958151849337007841785095195116361873829534595031900445327852667749895901804694106387560960736021867572341131970303653368692670482839036490069574617948924128671052234299767988781539182502809373480953417<267>` `14339753762844818694549073607327387<35>` `61202937509826070692461993327089740574741171121259277620288316230566100211178044556840531339556289441353618277700275227572852359065270759060522359962811264781615642976168980075558123281694571542550729699494740804354876126099744467691<233>` ```C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:1562720211 3e6 GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM] Input number is 877635053453684694947529604741264265445753942407823279287067885562958151849337007841785095195116361873829534595031900445327852667749895901804694106387560960736021867572341131970303653368692670482839036490069574617948924128671052234299767988781539182502809373480953417 (267 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1562720211 Step 1 took 7156ms Step 2 took 5688ms ********** Factor found in step 2: 14339753762844818694549073607327387 Found probable prime factor of 35 digits: 14339753762844818694549073607327387 Composite cofactor 61202937509826070692461993327089740574741171121259277620288316230566100211178044556840531339556289441353618277700275227572852359065270759060522359962811264781615642976168980075558123281694571542550729699494740804354876126099744467691 has 233 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e635261000Dmitry DomanovFebruary 15, 2016 14:26:52 UTC 2016 年 2 月 15 日 (月) 23 時 26 分 52 秒 (日本時間)
176ebinaJuly 20, 2022 21:15:12 UTC 2022 年 7 月 21 日 (木) 6 時 15 分 12 秒 (日本時間)
2350Ignacio SantosOctober 26, 2023 07:45:33 UTC 2023 年 10 月 26 日 (木) 16 時 45 分 33 秒 (日本時間)

## 19×10280+719

### c269

composite cofactor 合成数の残り `64182833913413715530976633291884323794228673616920073100786318779603761276368687669546896275588908846455528413145482224262503730778139550520854685832115080939823014326491287672824005092621421014796427862779559913166783064920331219771056253143277374961334758423313871729<269>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 15, 2016 14:27:07 UTC 2016 年 2 月 15 日 (月) 23 時 27 分 7 秒 (日本時間)
2350Ignacio SantosOctober 26, 2023 07:46:06 UTC 2023 年 10 月 26 日 (木) 16 時 46 分 6 秒 (日本時間)

## 19×10281+719

### c267

composite cofactor 合成数の残り `390611056293752539796933096688298244230611659477394542839030336013343739246151619001530589014464689204776612867941060157716591560683810589868249331244514045970597654442717634030193632660117754957150245683440179144231722799944062478661843333440803470714683375499749567<267>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 15, 2016 14:27:23 UTC 2016 年 2 月 15 日 (月) 23 時 27 分 23 秒 (日本時間)
2350Ignacio SantosOctober 26, 2023 08:08:46 UTC 2023 年 10 月 26 日 (木) 17 時 8 分 46 秒 (日本時間)

## 19×10282+719

### c255

composite cofactor 合成数の残り `783601912336907883092576275452832397462780269334243390794718578106668390754754375769949079598033225250541453385914662781854079331564071594990458056462732958881822579774763138922416232610894331136298408530827885584288457873868539109046312979999363059538401<255>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 15, 2016 14:27:41 UTC 2016 年 2 月 15 日 (月) 23 時 27 分 41 秒 (日本時間)
2350Ignacio SantosOctober 26, 2023 08:23:14 UTC 2023 年 10 月 26 日 (木) 17 時 23 分 14 秒 (日本時間)

## 19×10284+719

### c162

name 名前 Dmitry Domanov February 14, 2016 10:52:35 UTC 2016 年 2 月 14 日 (日) 19 時 52 分 35 秒 (日本時間) `239442371966305150950272580726097369959658113173772659310466962847067015760975169914007999830359256062445030463687808423890821164648185781225741871024855311358469<162>` ```28933791515141440025475928688377697<35> 8275526967870828670589119499525968184576759591637529240411371723648622789340807034194737988415957240928640187563303345057501477<127>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3528103366 Step 1 took 27154ms Step 2 took 9551ms ********** Factor found in step 2: 28933791515141440025475928688377697 Found probable prime factor of 35 digits: 28933791515141440025475928688377697```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61200 / 2104Dmitry DomanovFebruary 13, 2016 23:57:41 UTC 2016 年 2 月 14 日 (日) 8 時 57 分 41 秒 (日本時間)

## 19×10285+719

### c235

composite cofactor 合成数の残り `6034633644720782808024906844294786632314246545990688555451071509189701228019875081588871270749711087922269112622101542744533572714287982606769604519204017291021064961645101948239765390902077611789618590383350730564348056542989550190623<235>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 14, 2016 22:14:12 UTC 2016 年 2 月 15 日 (月) 7 時 14 分 12 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovFebruary 16, 2016 16:17:39 UTC 2016 年 2 月 17 日 (水) 1 時 17 分 39 秒 (日本時間)

## 19×10287+719

### c262

composite cofactor 合成数の残り `2950222243324164172989571964497829463807654069751946399031657456554150567016799188275780321305353268770115574000228806485613847143054653350743094617671504162213400967548863107802564571579491085024111749533501404395941631822457732370801117352983018627558144096441<262>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 15, 2016 14:29:20 UTC 2016 年 2 月 15 日 (月) 23 時 29 分 20 秒 (日本時間)
2350Ignacio SantosOctober 26, 2023 08:55:34 UTC 2023 年 10 月 26 日 (木) 17 時 55 分 34 秒 (日本時間)

## 19×10288+719

### c280

composite cofactor 合成数の残り `2732764228365248669007865765762727071886230751705220319579283939660369653989652009401875116753486233819074853993718189978047131073054000739639322651817203258852812263094107076552500463080921891873787581552762793344726851622269692149123099086452006192631870718321996880195524608951<280>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e635501200Dmitry DomanovFebruary 14, 2016 00:07:07 UTC 2016 年 2 月 14 日 (日) 9 時 7 分 7 秒 (日本時間)
2350Ignacio SantosOctober 26, 2023 09:09:00 UTC 2023 年 10 月 26 日 (木) 18 時 9 分 0 秒 (日本時間)

## 19×10289+719

### c254

composite cofactor 合成数の残り `49035113862942988155856357509728839516524367713081745694478172457216968547841854398791932544930512394108816098778821368048839560699451329881606458329775250181121372158125047624761307012732903642545978912263591591369821946287664846193131434330394103068669<254>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 15, 2016 14:29:42 UTC 2016 年 2 月 15 日 (月) 23 時 29 分 42 秒 (日本時間)
2350Ignacio SantosOctober 26, 2023 09:38:00 UTC 2023 年 10 月 26 日 (木) 18 時 38 分 0 秒 (日本時間)

## 19×10290+719

### c278

composite cofactor 合成数の残り `89799181688861453427548374141562862165796047065777038232457481063450012680378494246589219588912494670892621963265049212339343933333278138757840637569488888433853059126552477595256400573668594193943895919818355468653267356106631281478576855497964269759448854705329458486447217681<278>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 15, 2016 14:30:01 UTC 2016 年 2 月 15 日 (月) 23 時 30 分 1 秒 (日本時間)
2350Ignacio SantosOctober 26, 2023 09:38:25 UTC 2023 年 10 月 26 日 (木) 18 時 38 分 25 秒 (日本時間)

## 19×10292+719

### c253

composite cofactor 合成数の残り `6358130088124684948600198382329024411121411591235926477068804206340549602042862135548276575225016569556035245884754789857693258216305426416194444964700824124857301699154350851691859250920455962719937774492935569423235905205207304565803091570089394066083<253>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 15, 2016 14:30:17 UTC 2016 年 2 月 15 日 (月) 23 時 30 分 17 秒 (日本時間)
2350Ignacio SantosOctober 26, 2023 09:50:25 UTC 2023 年 10 月 26 日 (木) 18 時 50 分 25 秒 (日本時間)

## 19×10295+719

### c270

composite cofactor 合成数の残り `471010112390874446977493497494863797147401384880182237753119170216424551764889242344503434549593249097963750050003426572260104724057580651017283013836207757875207179862167286896993297716502318098338330009711787404278706821849764083562513983462091395395976617255871720717<270>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 15, 2016 14:30:36 UTC 2016 年 2 月 15 日 (月) 23 時 30 分 36 秒 (日本時間)
2350Ignacio SantosOctober 26, 2023 10:07:59 UTC 2023 年 10 月 26 日 (木) 19 時 7 分 59 秒 (日本時間)

## 19×10297+719

### c205

name 名前 Dmitry Domanov February 20, 2016 20:20:31 UTC 2016 年 2 月 21 日 (日) 5 時 20 分 31 秒 (日本時間) `1500888249434317528481521912131203204329802583836176981653444440608347389416285340343281081630364681918492134003225153007027537470240782125925139664587436558279532683386767557952316517901544824238434958591<205>` ```39568932729043852050701825636175620790937360761811<50> 37930976296781840283984013554810646237366493277696223036348733517056037146154325460232126783696169101483250189859808578503405435107511163363040439164002981<155>``` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3056604061 Step 1 took 393503ms Step 2 took 95618ms ********** Factor found in step 2: 39568932729043852050701825636175620790937360761811 Found probable prime factor of 50 digits: 39568932729043852050701825636175620790937360761811```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e626811200Dmitry DomanovFebruary 13, 2016 23:56:21 UTC 2016 年 2 月 14 日 (日) 8 時 56 分 21 秒 (日本時間)
1481Ignacio SantosFebruary 14, 2016 21:10:42 UTC 2016 年 2 月 15 日 (月) 6 時 10 分 42 秒 (日本時間)
4511e61800Dmitry DomanovFebruary 15, 2016 14:05:32 UTC 2016 年 2 月 15 日 (月) 23 時 5 分 32 秒 (日本時間)
5043e6600 / 7043Dmitry DomanovFebruary 19, 2016 15:34:54 UTC 2016 年 2 月 20 日 (土) 0 時 34 分 54 秒 (日本時間)

## 19×10298+719

### c247

composite cofactor 合成数の残り `4435211603085258151657468082504827419300140306524023525110746963334522901948266450768821006632296636892331251284635953954105197119156649605236382213322128652395043324697964277269479182244635389344364194478674631598915129820302464323397477155243067<247>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 15, 2016 14:30:57 UTC 2016 年 2 月 15 日 (月) 23 時 30 分 57 秒 (日本時間)
2350Ignacio SantosOctober 26, 2023 10:28:58 UTC 2023 年 10 月 26 日 (木) 19 時 28 分 58 秒 (日本時間)

## 19×10299+719

### c233

composite cofactor 合成数の残り `10878113727116505201188613085257736682811915717670621072471023472546629983053710006055369353133660439536774084076305050581876858747451893027284782450216986820215653918840529428557946928551050951985269683646959199047014564574750666221<233>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 14, 2016 22:14:49 UTC 2016 年 2 月 15 日 (月) 7 時 14 分 49 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovFebruary 16, 2016 16:18:33 UTC 2016 年 2 月 17 日 (水) 1 時 18 分 33 秒 (日本時間)

## 19×10300+719

### c259

composite cofactor 合成数の残り `7352586909708464524648365421514981377864884259314247776020841696781027318761244979619200332855634214791113272245118373826942144699048982218724601566453975067214066244590440827403785662514956265309906607686403043100933500348193131257323168224022699138116588257<259>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovFebruary 14, 2016 00:04:37 UTC 2016 年 2 月 14 日 (日) 9 時 4 分 37 秒 (日本時間)
4511e61200Dmitry DomanovFebruary 15, 2016 21:23:54 UTC 2016 年 2 月 16 日 (火) 6 時 23 分 54 秒 (日本時間)
5043e6800 / 7176Dmitry DomanovFebruary 17, 2016 14:27:22 UTC 2016 年 2 月 17 日 (水) 23 時 27 分 22 秒 (日本時間)
5511e724 / 17399Dmitry DomanovFebruary 18, 2016 10:46:59 UTC 2016 年 2 月 18 日 (木) 19 時 46 分 59 秒 (日本時間)