Contributed factorization results of 55...55355...55

Table of contents 目次

5×10¹⁵⁷-18×10⁷⁸-59
- c139
- ECM
5×10¹⁶¹-18×10⁸⁰-59
- c135
- ECM
5×10¹⁶⁵-18×10⁸²-59
- c155
- ECM
5×10¹⁷³-18×10⁸⁶-59
- c161
- ECM
5×10¹⁷⁷-18×10⁸⁸-59
- c140
- ECM
5×10¹⁸¹-18×10⁹⁰-59
- c160
- ECM
5×10¹⁹⁵-18×10⁹⁷-59
- c184
- ECM
5×10¹⁹⁷-18×10⁹⁸-59
- c170
- ECM
5×10¹⁹⁹-18×10⁹⁹-59
- c197
- ECM
5×10²⁰⁵-18×10¹⁰²-59
- c156
- ECM
5×10²⁰⁷-18×10¹⁰³-59
- c201
- ECM
5×10²¹³-18×10¹⁰⁶-59
- c181
- ECM
5×10²¹⁵-18×10¹⁰⁷-59
- c202
- ECM
5×10²²⁵-18×10¹¹²-59
- c188
- ECM
5×10²²⁷-18×10¹¹³-59
- c187
- ECM
5×10²³¹-18×10¹¹⁵-59
- c221
- ECM
5×10²³³-18×10¹¹⁶-59
- c209
- ECM
5×10²³⁷-18×10¹¹⁸-59
- c197
- ECM
5×10²³⁹-18×10¹¹⁹-59
- c211
- ECM
5×10²⁴¹-18×10¹²⁰-59
- c240
- ECM
5×10²⁴⁷-18×10¹²³-59
- c191
- ECM
5×10²⁴⁹-18×10¹²⁴-59
- c163
- ECM
5×10²⁵¹-18×10¹²⁵-59
- c218
- ECM
5×10²⁵⁵-18×10¹²⁷-59
- c244
- ECM
5×10²⁵⁹-18×10¹²⁹-59
- c217
- ECM
5×10²⁶¹-18×10¹³⁰-59
- c194
- ECM
5×10²⁶³-18×10¹³¹-59
- c230
- ECM
5×10²⁶⁷-18×10¹³³-59
- c197
- ECM
5×10²⁶⁹-18×10¹³⁴-59
- c223
- ECM
5×10²⁷⁷-18×10¹³⁸-59
- c152
- ECM
5×10²⁸⁷-18×10¹⁴³-59
- c247
- ECM
5×10²⁸⁹-18×10¹⁴⁴-59
- c223
- ECM
5×10²⁹⁵-18×10¹⁴⁷-59
- c243
- ECM
5×10²⁹⁷-18×10¹⁴⁸-59
- c276
- ECM
5×10³⁰¹-18×10¹⁵⁰-59
- c269
- ECM

5×10¹⁵⁷-18×10⁷⁸-59

c139

name 名前	Ignacio Santos
date 日付	January 24, 2022 17:51:06 UTC 2022 年 1 月 25 日 (火) 2 時 51 分 6 秒 (日本時間)
composite number 合成数	5405563095228903507723407053075157199381564359342114299931341741456191434044205827512208478786541165693073380325833198980780545075072803709<139>
prime factors 素因数	1403377585015850919579775471718930925159703087<46> 3851823737920004301207480744953126469089019449785798084027226713701553177180382299479062988307<94>
factorization results 素因数分解の結果	N=5405563095228903507723407053075157199381564359342114299931341741456191434044205827512208478786541165693073380325833198980780545075072803709 ( 139 digits) SNFS difficulty: 157 digits. Divisors found: r1=1403377585015850919579775471718930925159703087 (pp46) r2=3851823737920004301207480744953126469089019449785798084027226713701553177180382299479062988307 (pp94) Version: Msieve v. 1.52 (SVN 927) Total time: 19.52 hours. Scaled time: 153.96 units (timescale=7.886). Factorization parameters were as follows: n: 5405563095228903507723407053075157199381564359342114299931341741456191434044205827512208478786541165693073380325833198980780545075072803709 m: 1000000000000000000000000000000000000000 deg: 4 c4: 50 c2: -18 c0: -5 skew: 0.56 # Murphy_E = 6.561e-10 type: snfs lss: 1 rlim: 3000000 alim: 3000000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved rational special-q in [1500000, 3300001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 603695 x 603933 Total sieving time: 19.41 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.08 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,157.000,4,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000 total time: 19.52 hours.
software ソフトウェア	GNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10¹⁶¹-18×10⁸⁰-59

c135

name 名前	ivelive
date 日付	January 23, 2022 13:59:46 UTC 2022 年 1 月 23 日 (日) 22 時 59 分 46 秒 (日本時間)
composite number 合成数	266571784205718404315115760300974129249363227875191706523930138410118945309588226578558459980802081938243928609712227323598359266894553<135>
prime factors 素因数	8652785596328365601393273222226302993027<40> 37123945347772258736382381192714042689747839259<47> 829858623790838227099856628177173046639624598921<48>
factorization results 素因数分解の結果	01/23/22 10:49:53 v1.34.5 @ DESKTOP-RJPVCOL, Starting factorization of 266571784205718404315115760300974129249363227875191706523930138410118945309588226578558459980802081938243928609712227323598359266894553 01/23/22 10:49:53 v1.34.5 @ DESKTOP-RJPVCOL, using pretesting plan: custom 01/23/22 10:49:53 v1.34.5 @ DESKTOP-RJPVCOL, custom pretest ratio is: 0.4000 01/23/22 10:49:53 v1.34.5 @ DESKTOP-RJPVCOL, no tune info: using qs/gnfs crossover of 95 digits 01/23/22 10:49:53 v1.34.5 @ DESKTOP-RJPVCOL, input indicated to have been pretested to t40.50 01/23/22 10:49:53 v1.34.5 @ DESKTOP-RJPVCOL, **************************** 01/23/22 10:49:53 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 3, starting 1000 iterations on C135 01/23/22 10:49:53 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 2, starting 1000 iterations on C135 01/23/22 10:49:53 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 1, starting 1000 iterations on C135 01/23/22 10:49:53 v1.34.5 @ DESKTOP-RJPVCOL, current ECM pretesting depth: 40.58 01/23/22 10:49:53 v1.34.5 @ DESKTOP-RJPVCOL, scheduled 4479 curves at B1=11000000 toward target pretesting depth of 54.00 01/23/22 10:53:13 v1.34.5 @ DESKTOP-RJPVCOL, prp40 = 8652785596328365601393273222226302993027 (curve 10 stg2 B1=11000000 sigma=527437912 thread=7) 01/23/22 10:53:13 v1.34.5 @ DESKTOP-RJPVCOL, Finished 80 curves using Lenstra ECM method on C135 input, B1=11M, B2=gmp-ecm default 01/23/22 10:53:13 v1.34.5 @ DESKTOP-RJPVCOL, final ECM pretested depth: 40.67 01/23/22 10:53:13 v1.34.5 @ DESKTOP-RJPVCOL, scheduler: switching to sieve method 01/23/22 10:53:13 v1.34.5 @ DESKTOP-RJPVCOL, starting SIQS on c95: 30807626195988577874358186363974863405667891496035547456669901982887069468309846638664252839539 01/23/22 10:53:13 v1.34.5 @ DESKTOP-RJPVCOL, random seeds: 814431863, 4292901104 01/23/22 10:53:13 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieve params ==== 01/23/22 10:53:13 v1.34.5 @ DESKTOP-RJPVCOL, n = 97 digits, 320 bits 01/23/22 10:53:13 v1.34.5 @ DESKTOP-RJPVCOL, factor base: 91568 primes (max prime = 2498801) 01/23/22 10:53:13 v1.34.5 @ DESKTOP-RJPVCOL, single large prime cutoff: 324844130 (130 * pmax) 01/23/22 10:53:13 v1.34.5 @ DESKTOP-RJPVCOL, double large prime range from 32 to 31 bits 01/23/22 10:53:13 v1.34.5 @ DESKTOP-RJPVCOL, double large prime cutoff: 2094184988129903 01/23/22 10:53:13 v1.34.5 @ DESKTOP-RJPVCOL, allocating 9 large prime slices of factor base 01/23/22 10:53:13 v1.34.5 @ DESKTOP-RJPVCOL, buckets hold 2048 elements 01/23/22 10:53:13 v1.34.5 @ DESKTOP-RJPVCOL, using SSE4.1 enabled 32k sieve core 01/23/22 10:53:13 v1.34.5 @ DESKTOP-RJPVCOL, sieve interval: 18 blocks of size 32768 01/23/22 10:53:13 v1.34.5 @ DESKTOP-RJPVCOL, polynomial A has ~ 12 factors 01/23/22 10:53:13 v1.34.5 @ DESKTOP-RJPVCOL, using multiplier of 51 01/23/22 10:53:13 v1.34.5 @ DESKTOP-RJPVCOL, using SPV correction of 20 bits, starting at offset 30 01/23/22 10:53:13 v1.34.5 @ DESKTOP-RJPVCOL, trial factoring cutoff at 98 bits 01/23/22 10:53:13 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieving started ( 8 threads) ==== 01/23/22 11:01:01 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 112281366 sieve locations out of 1553130455040 01/23/22 11:01:01 v1.34.5 @ DESKTOP-RJPVCOL, squfof: 0 failures, 1005942 attempts, 30900006 outside range, 4986859 prp, 936999 useful 01/23/22 11:01:01 v1.34.5 @ DESKTOP-RJPVCOL, 93015 relations found: 23773 full + 69242 from 1264832 partial, using 1316605 polys (1282 A polys) 01/23/22 11:01:01 v1.34.5 @ DESKTOP-RJPVCOL, on average, sieving found 0.98 rels/poly and 2754.78 rels/sec 01/23/22 11:01:01 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 112281366 sieve locations out of 1553130455040 01/23/22 11:01:01 v1.34.5 @ DESKTOP-RJPVCOL, ==== post processing stage (msieve-1.38) ==== 01/23/22 11:01:01 v1.34.5 @ DESKTOP-RJPVCOL, begin with 1288605 relations 01/23/22 11:01:01 v1.34.5 @ DESKTOP-RJPVCOL, reduce to 237329 relations in 12 passes 01/23/22 11:01:03 v1.34.5 @ DESKTOP-RJPVCOL, recovered 237329 relations 01/23/22 11:01:03 v1.34.5 @ DESKTOP-RJPVCOL, recovered 217288 polynomials 01/23/22 11:01:03 v1.34.5 @ DESKTOP-RJPVCOL, attempting to build 93015 cycles 01/23/22 11:01:03 v1.34.5 @ DESKTOP-RJPVCOL, found 93015 cycles in 6 passes 01/23/22 11:01:03 v1.34.5 @ DESKTOP-RJPVCOL, distribution of cycle lengths: 01/23/22 11:01:03 v1.34.5 @ DESKTOP-RJPVCOL, length 1 : 23773 01/23/22 11:01:03 v1.34.5 @ DESKTOP-RJPVCOL, length 2 : 16479 01/23/22 11:01:03 v1.34.5 @ DESKTOP-RJPVCOL, length 3 : 15918 01/23/22 11:01:03 v1.34.5 @ DESKTOP-RJPVCOL, length 4 : 12422 01/23/22 11:01:03 v1.34.5 @ DESKTOP-RJPVCOL, length 5 : 9219 01/23/22 11:01:03 v1.34.5 @ DESKTOP-RJPVCOL, length 6 : 6172 01/23/22 11:01:03 v1.34.5 @ DESKTOP-RJPVCOL, length 7 : 3877 01/23/22 11:01:03 v1.34.5 @ DESKTOP-RJPVCOL, length 9+: 5155 01/23/22 11:01:03 v1.34.5 @ DESKTOP-RJPVCOL, largest cycle: 21 relations 01/23/22 11:01:03 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 91568 x 93015 (27.0 MB) with weight 6346238 (68.23/col) 01/23/22 11:01:03 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 6346238 (68.23/col) 01/23/22 11:01:03 v1.34.5 @ DESKTOP-RJPVCOL, filtering completed in 3 passes 01/23/22 11:01:03 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 86273 x 86337 (24.8 MB) with weight 5818967 (67.40/col) 01/23/22 11:01:03 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 5818967 (67.40/col) 01/23/22 11:01:04 v1.34.5 @ DESKTOP-RJPVCOL, saving the first 48 matrix rows for later 01/23/22 11:01:04 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 86225 x 86337 (21.6 MB) with weight 5151629 (59.67/col) 01/23/22 11:01:04 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 4807079 (55.68/col) 01/23/22 11:01:04 v1.34.5 @ DESKTOP-RJPVCOL, matrix includes 64 packed rows 01/23/22 11:01:04 v1.34.5 @ DESKTOP-RJPVCOL, using block size 34534 for processor cache size 12288 kB 01/23/22 11:01:04 v1.34.5 @ DESKTOP-RJPVCOL, commencing Lanczos iteration 01/23/22 11:01:04 v1.34.5 @ DESKTOP-RJPVCOL, memory use: 16.8 MB 01/23/22 11:01:17 v1.34.5 @ DESKTOP-RJPVCOL, lanczos halted after 1365 iterations (dim = 86221) 01/23/22 11:01:17 v1.34.5 @ DESKTOP-RJPVCOL, recovered 16 nontrivial dependencies 01/23/22 11:01:18 v1.34.5 @ DESKTOP-RJPVCOL, prp47 = 37123945347772258736382381192714042689747839259 01/23/22 11:01:18 v1.34.5 @ DESKTOP-RJPVCOL, prp48 = 829858623790838227099856628177173046639624598921 01/23/22 11:01:18 v1.34.5 @ DESKTOP-RJPVCOL, Lanczos elapsed time = 16.6420 seconds. 01/23/22 11:01:18 v1.34.5 @ DESKTOP-RJPVCOL, Sqrt elapsed time = 0.3680 seconds. 01/23/22 11:01:18 v1.34.5 @ DESKTOP-RJPVCOL, SIQS elapsed time = 484.7899 seconds.

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10¹⁶⁵-18×10⁸²-59

c155

name 名前	ebina
date 日付	January 24, 2022 11:49:47 UTC 2022 年 1 月 24 日 (月) 20 時 49 分 47 秒 (日本時間)
composite number 合成数	66968231026535689217331336696151492327932310878467789279004235668487643566764058917569325643179299669656036150500634240612906836869565291277644805624767373<155>
prime factors 素因数	19955194155665497707077145247015517860132516231401259110548359993<65> 3355929814770690995589043572162338134947584550532775329325908761323756623774524716725884661<91>
factorization results 素因数分解の結果	Mon Jan 24 20:38:32 2022 Msieve v. 1.53 (SVN unknown) Mon Jan 24 20:38:32 2022 random seeds: bda4a364 c6265cb4 Mon Jan 24 20:38:32 2022 factoring 66968231026535689217331336696151492327932310878467789279004235668487643566764058917569325643179299669656036150500634240612906836869565291277644805624767373 (155 digits) Mon Jan 24 20:38:33 2022 searching for 15-digit factors Mon Jan 24 20:38:34 2022 commencing number field sieve (155-digit input) Mon Jan 24 20:38:34 2022 R0: -100000000000000000000000000000000000000000 Mon Jan 24 20:38:34 2022 R1: 1 Mon Jan 24 20:38:34 2022 A0: -5 Mon Jan 24 20:38:34 2022 A1: 0 Mon Jan 24 20:38:34 2022 A2: -18 Mon Jan 24 20:38:34 2022 A3: 0 Mon Jan 24 20:38:34 2022 A4: 50 Mon Jan 24 20:38:34 2022 skew 0.56, size 5.734e-17, alpha 0.011, combined = 2.494e-10 rroots = 2 Mon Jan 24 20:38:34 2022 Mon Jan 24 20:38:34 2022 commencing square root phase Mon Jan 24 20:38:34 2022 reading relations for dependency 1 Mon Jan 24 20:38:34 2022 read 415324 cycles Mon Jan 24 20:38:34 2022 cycles contain 1374934 unique relations Mon Jan 24 20:38:50 2022 read 1374934 relations Mon Jan 24 20:38:55 2022 multiplying 1374934 relations Mon Jan 24 20:39:21 2022 multiply complete, coefficients have about 37.45 million bits Mon Jan 24 20:39:21 2022 initial square root is modulo 238591 Mon Jan 24 20:39:56 2022 sqrtTime: 82 Mon Jan 24 20:39:56 2022 p65 factor: 19955194155665497707077145247015517860132516231401259110548359993 Mon Jan 24 20:39:56 2022 p91 factor: 3355929814770690995589043572162338134947584550532775329325908761323756623774524716725884661 Mon Jan 24 20:39:56 2022 elapsed time 00:01:24 Mon Jan 24 20:39:56 2022 -> Computing 1.64302e+09 scale for this machine... Mon Jan 24 20:39:56 2022 -> procrels -speedtest> PIPE Mon Jan 24 20:39:59 2022 -> Factorization summary written to s166-55355_82.txt

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10¹⁷³-18×10⁸⁶-59

c161

name 名前	Eric Jeancolas
date 日付	January 27, 2022 04:23:27 UTC 2022 年 1 月 27 日 (木) 13 時 23 分 27 秒 (日本時間)
composite number 合成数	16675871957044023757263079719600485039179774595920859202708413105454898667266334825674785690439740211461196408067208535512829554037082840580556164607672459468379<161>
prime factors 素因数	4725272939109636347572186281929542765272219773689601449080497<61> 3529081213282504988174433607174166600724866134559520116692234783065492246031796557288682549336981707<100>
factorization results 素因数分解の結果	16675871957044023757263079719600485039179774595920859202708413105454898667266334825674785690439740211461196408067208535512829554037082840580556164607672459468379=47252729391096363475721862819295427652722197736896014490804973529081213282504988174433607174166600724866134559520116692234783065492246031796557288682549336981707 cado polynomial n: 16675871957044023757263079719600485039179774595920859202708413105454898667266334825674785690439740211461196408067208535512829554037082840580556164607672459468379 skew: 1.47 type: snfs c0: -50 c3: -18 c6: 5 Y0: 100000000000000000000000000000 Y1: -1 # f(x) = 5x^6-18*x^3-50 # g(x) = -x+10000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 5700000 tasks.lim1 = 5700000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 52 tasks.sieve.mfb1 = 52 tasks.sieve.lambda0 = 2.4 tasks.sieve.lambda1 = 2.4 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 4725272939109636347572186281929542765272219773689601449080497 3529081213282504988174433607174166600724866134559520116692234783065492246031796557288682549336981707 Info:Square Root: Total cpu/real time for sqrt: 196.39/61.5224 Info:Generate Free Relations: Total cpu/real time for freerel: 111.88/29.2706 Info:Filtering - Singleton removal: Total cpu/real time for purge: 45.35/54.4716 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11636731 Info:Lattice Sieving: Average J: 1893.81 for 570220 special-q, max bucket fill -bkmult 1.0,1s:1.227940 Info:Lattice Sieving: Total time: 73438.6s Info:Linear Algebra: Total cpu/real time for bwc: 11299.2/2908.27 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 7125.82, WCT time 1825.92, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26624 iterations) Info:Linear Algebra: Lingen CPU time 150.8, WCT time 38.36 Info:Linear Algebra: Mksol: CPU time 3887.64, WCT time 994.75, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13312 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.19/51.8636 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.8s Info:Filtering - Merging: Merged matrix has 849567 rows and total weight 145175616 (170.9 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 196.87/55.6236 Info:Filtering - Merging: Total cpu/real time for replay: 31.48/26.4644 Info:Generate Factor Base: Total cpu/real time for makefb: 4.63/2.44367 Info:Quadratic Characters: Total cpu/real time for characters: 29.71/11.8035 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 112.89/93.9109 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 84.9s Info:Square Root: Total cpu/real time for sqrt: 196.39/61.5224 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 147228/40221.2 Info:root: Cleaning up computation data in /tmp/cado.xipo72t0 4725272939109636347572186281929542765272219773689601449080497 3529081213282504988174433607174166600724866134559520116692234783065492246031796557288682549336981707
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-90-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	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10¹⁷⁷-18×10⁸⁸-59

c140

name 名前	Eric Jeancolas
date 日付	January 27, 2022 18:00:23 UTC 2022 年 1 月 28 日 (金) 3 時 0 分 23 秒 (日本時間)
composite number 合成数	54194820738027406488693423604364021527920153343315075960430651826749450884246288900392712241019776764815482640571297024296345243642169328137<140>
prime factors 素因数	67624435299175912546825757236161492155968552532396924543339<59> 801408847234955579208549545295929237186748930509286848770176845190231484648629083<81>
factorization results 素因数分解の結果	54194820738027406488693423604364021527920153343315075960430651826749450884246288900392712241019776764815482640571297024296345243642169328137=67624435299175912546825757236161492155968552532396924543339801408847234955579208549545295929237186748930509286848770176845190231484648629083 cado polynomial n: 54194820738027406488693423604364021527920153343315075960430651826749450884246288900392712241019776764815482640571297024296345243642169328137 skew: 0.32 type: snfs c0: -1 c3: -36 c6: 1000 Y0: 100000000000000000000000000000 Y1: -1 # f(x) = 1000x^6-36*x^3-1 # g(x) = -x+10000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 6200000 tasks.lim1 = 6200000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 53 tasks.sieve.mfb1 = 53 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: 801408847234955579208549545295929237186748930509286848770176845190231484648629083 67624435299175912546825757236161492155968552532396924543339 Info:Square Root: Total cpu/real time for sqrt: 238.35/73.5642 Info:Filtering - Singleton removal: Total cpu/real time for purge: 128.91/125.874 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22423058 Info:Lattice Sieving: Average J: 1893.81 for 1115926 special-q, max bucket fill -bkmult 1.0,1s:1.205050 Info:Lattice Sieving: Total time: 154078s Info:Linear Algebra: Total cpu/real time for bwc: 14168.5/3642.02 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 8980.62, WCT time 2300.18, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (29952 iterations) Info:Linear Algebra: Lingen CPU time 170.48, WCT time 43.39 Info:Linear Algebra: Mksol: CPU time 4864.1, WCT time 1242.11, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15104 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.46/101.725 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.6s Info:Generate Free Relations: Total cpu/real time for freerel: 240.36/61.6806 Info:Filtering - Merging: Merged matrix has 951032 rows and total weight 161954418 (170.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 222.93/62.3903 Info:Filtering - Merging: Total cpu/real time for replay: 33.23/28.2746 Info:Generate Factor Base: Total cpu/real time for makefb: 5.41/2.61502 Info:Quadratic Characters: Total cpu/real time for characters: 31.81/12.5503 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 230.51/188.853 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 173.7s Info:Square Root: Total cpu/real time for sqrt: 238.35/73.5642 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 299648/81619.9 Info:root: Cleaning up computation data in /tmp/cado.vqs4qgvz 801408847234955579208549545295929237186748930509286848770176845190231484648629083 67624435299175912546825757236161492155968552532396924543339
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-90-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	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10¹⁸¹-18×10⁹⁰-59

c160

name 名前	Eric Jeancolas
date 日付	January 28, 2022 04:54:45 UTC 2022 年 1 月 28 日 (金) 13 時 54 分 45 秒 (日本時間)
composite number 合成数	7456299578104116189955611664011477203090291527294450914209286573252308094418463273958049304736494140470474222030942297517642881551325639898858407331042470789221<160>
prime factors 素因数	589192528458523158674238139079841957078823910172053<51> 12655115633614166600977518550515136162722849968929740268094433098068926549798493134941220927911669740195437457<110>
factorization results 素因数分解の結果	7456299578104116189955611664011477203090291527294450914209286573252308094418463273958049304736494140470474222030942297517642881551325639898858407331042470789221=58919252845852315867423813907984195707882391017205312655115633614166600977518550515136162722849968929740268094433098068926549798493134941220927911669740195437457 cado polynomial n: 7456299578104116189955611664011477203090291527294450914209286573252308094418463273958049304736494140470474222030942297517642881551325639898858407331042470789221 skew: 0.68 type: snfs c0: -5 c3: -18 c6: 50 Y0: 1000000000000000000000000000000 Y1: -1 # f(x) = 50x^6-18*x^3-5 # g(x) = -x+100000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 7500000 tasks.lim1 = 7500000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 53 tasks.sieve.mfb1 = 53 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 589192528458523158674238139079841957078823910172053 12655115633614166600977518550515136162722849968929740268094433098068926549798493134941220927911669740195437457 Info:Square Root: Total cpu/real time for sqrt: 231.37/70.9031 Info:Generate Free Relations: Total cpu/real time for freerel: 221.32/56.5215 Info:Filtering - Singleton removal: Total cpu/real time for purge: 131.06/129.515 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22424341 Info:Lattice Sieving: Average J: 1894.45 for 1014634 special-q, max bucket fill -bkmult 1.0,1s:1.213030 Info:Lattice Sieving: Total time: 159509s Info:Linear Algebra: Total cpu/real time for bwc: 15181.4/3908.63 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 9603.72, WCT time 2462.63, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (31232 iterations) Info:Linear Algebra: Lingen CPU time 180.68, WCT time 46.04 Info:Linear Algebra: Mksol: CPU time 5237.47, WCT time 1341.26, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15616 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.57/101.389 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.3s Info:Filtering - Merging: Merged matrix has 995861 rows and total weight 169338791 (170.0 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 242.45/67.399 Info:Filtering - Merging: Total cpu/real time for replay: 34.79/29.3542 Info:Generate Factor Base: Total cpu/real time for makefb: 6.06/2.89412 Info:Quadratic Characters: Total cpu/real time for characters: 32.7/12.9717 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 228.62/197.643 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 179.5s Info:Square Root: Total cpu/real time for sqrt: 231.37/70.9031 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 312493/84695.9 Info:root: Cleaning up computation data in /tmp/cado.7zd2vxwm 589192528458523158674238139079841957078823910172053 12655115633614166600977518550515136162722849968929740268094433098068926549798493134941220927911669740195437457
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-90-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	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10¹⁹⁵-18×10⁹⁷-59

c184

name 名前	ivelive
date 日付	January 23, 2022 14:00:27 UTC 2022 年 1 月 23 日 (日) 23 時 0 分 27 秒 (日本時間)
composite number 合成数	1058666405374306175617812366288501265868573590170475510760178071145590998596128801455969401887663368621690908863635530178859647327506318892565423453553304573219014682732739845109726857<184>
prime factors 素因数	14292151549416329924002479804585021639087677<44> 74073270333992542007647452592967800221772757128773718712049375680030262382098732817102858134818400605551187414319155512659620032840806177341<140>
factorization results 素因数分解の結果	01/22/22 01:54:59 v1.34.5 @ DESKTOP-RJPVCOL, Starting factorization of 1058666405374306175617812366288501265868573590170475510760178071145590998596128801455969401887663368621690908863635530178859647327506318892565423453553304573219014682732739845109726857 01/22/22 01:54:59 v1.34.5 @ DESKTOP-RJPVCOL, using pretesting plan: deep 01/22/22 01:54:59 v1.34.5 @ DESKTOP-RJPVCOL, no tune info: using qs/gnfs crossover of 95 digits 01/22/22 01:54:59 v1.34.5 @ DESKTOP-RJPVCOL, input indicated to have been pretested to t40.50 01/22/22 01:54:59 v1.34.5 @ DESKTOP-RJPVCOL, **************************** 01/22/22 01:54:59 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 3, starting 1000 iterations on C184 01/22/22 01:54:59 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 2, starting 1000 iterations on C184 01/22/22 01:54:59 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 1, starting 1000 iterations on C184 01/22/22 01:54:59 v1.34.5 @ DESKTOP-RJPVCOL, current ECM pretesting depth: 40.58 01/22/22 01:54:59 v1.34.5 @ DESKTOP-RJPVCOL, scheduled 4479 curves at B1=11000000 toward target pretesting depth of 61.33 01/22/22 04:07:19 v1.34.5 @ DESKTOP-RJPVCOL, prp44 = 14292151549416329924002479804585021639087677 (curve 251 stg2 B1=11000000 sigma=2114771913 thread=7) 01/22/22 04:07:19 v1.34.5 @ DESKTOP-RJPVCOL, Finished 2008 curves using Lenstra ECM method on C184 input, B1=11M, B2=gmp-ecm default 01/22/22 04:07:19 v1.34.5 @ DESKTOP-RJPVCOL, current ECM pretesting depth: 42.82 01/22/22 04:07:19 v1.34.5 @ DESKTOP-RJPVCOL, scheduled 2471 curves at B1=11000000 toward target pretesting depth of 46.67 01/22/22 04:07:19 v1.34.5 @ DESKTOP-RJPVCOL, prp140 = 74073270333992542007647452592967800221772757128773718712049375680030262382098732817102858134818400605551187414319155512659620032840806177341 01/22/22 04:07:19 v1.34.5 @ DESKTOP-RJPVCOL, Total factoring time = 7940.4615 seconds

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10¹⁹⁷-18×10⁹⁸-59

c170

name 名前	ivelive
date 日付	January 23, 2022 14:00:59 UTC 2022 年 1 月 23 日 (日) 23 時 0 分 59 秒 (日本時間)
composite number 合成数	32113346489590351119866584515098673149066294087899409200473544712599714544534936173543323600323283325720693328155457705133388357610601032174280728511309151217826806106829<170>
prime factors 素因数	34036369149722346356741156020270063<35> 943500945953640815854436651521149406483417285889976559680106729706712307913778246834348452916623669990966540124431462007241998415233283<135>
factorization results 素因数分解の結果	01/22/22 01:46:36 v1.34.5 @ DESKTOP-RJPVCOL, Starting factorization of 32113346489590351119866584515098673149066294087899409200473544712599714544534936173543323600323283325720693328155457705133388357610601032174280728511309151217826806106829 01/22/22 01:46:36 v1.34.5 @ DESKTOP-RJPVCOL, using pretesting plan: deep 01/22/22 01:46:36 v1.34.5 @ DESKTOP-RJPVCOL, no tune info: using qs/gnfs crossover of 95 digits 01/22/22 01:46:36 v1.34.5 @ DESKTOP-RJPVCOL, input indicated to have been pretested to t40.50 01/22/22 01:46:36 v1.34.5 @ DESKTOP-RJPVCOL, **************************** 01/22/22 01:46:36 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 3, starting 1000 iterations on C170 01/22/22 01:46:36 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 2, starting 1000 iterations on C170 01/22/22 01:46:36 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 1, starting 1000 iterations on C170 01/22/22 01:46:36 v1.34.5 @ DESKTOP-RJPVCOL, current ECM pretesting depth: 40.58 01/22/22 01:46:36 v1.34.5 @ DESKTOP-RJPVCOL, scheduled 4479 curves at B1=11000000 toward target pretesting depth of 56.67 01/22/22 01:53:58 v1.34.5 @ DESKTOP-RJPVCOL, prp35 = 34036369149722346356741156020270063 (curve 16 stg2 B1=11000000 sigma=973527640 thread=7) 01/22/22 01:53:58 v1.34.5 @ DESKTOP-RJPVCOL, Finished 128 curves using Lenstra ECM method on C170 input, B1=11M, B2=gmp-ecm default 01/22/22 01:53:58 v1.34.5 @ DESKTOP-RJPVCOL, current ECM pretesting depth: 40.72 01/22/22 01:53:58 v1.34.5 @ DESKTOP-RJPVCOL, scheduled 3961 curves at B1=11000000 toward target pretesting depth of 45.00 01/22/22 01:53:59 v1.34.5 @ DESKTOP-RJPVCOL, prp135 = 943500945953640815854436651521149406483417285889976559680106729706712307913778246834348452916623669990966540124431462007241998415233283 01/22/22 01:53:59 v1.34.5 @ DESKTOP-RJPVCOL, Total factoring time = 442.9425 seconds

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10¹⁹⁹-18×10⁹⁹-59

c197

name 名前	Eric Jeancolas
date 日付	January 30, 2022 01:35:24 UTC 2022 年 1 月 30 日 (日) 10 時 35 分 24 秒 (日本時間)
composite number 合成数	52910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052891005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291<197>
prime factors 素因数	31947775482308053963345319120897056766735966503<47> 207924988807817985831707370536160035109789737842888404350558510891<66> 7965093630536424651155353870984344824397791328309034216038874189788772543906696170967<85>
factorization results 素因数分解の結果	52910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052891005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291=319477754823080539633453191208970567667359665032079249888078179858317073705361600351097897378428884043505585108917965093630536424651155353870984344824397791328309034216038874189788772543906696170967 cado polynomial n: 52910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052891005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291 skew: 0.68 type: snfs c0: -5 c3: -18 c6: 50 Y0: 1000000000000000000000000000000000 Y1: -1 # f(x) = 50x^6-18x^3-5 # g(x) = -x+100000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 14900000 tasks.lim1 = 14900000 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: 207924988807817985831707370536160035109789737842888404350558510891 7965093630536424651155353870984344824397791328309034216038874189788772543906696170967 31947775482308053963345319120897056766735966503 Info:Square Root: Total cpu/real time for sqrt: 1346.39/396.567 Info:Generate Free Relations: Total cpu/real time for freerel: 221.9/56.6582 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 539.86/548.343 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 445.8s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 120.75/143.609 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 142.9s Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 28151138 Info:Lattice Sieving: Average J: 1893.74 for 3059185 special-q, max bucket fill -bkmult 1.0,1s:1.164370 Info:Lattice Sieving: Total time: 697242s Info:Filtering - Merging: Merged matrix has 2487512 rows and total weight 422921746 (170.0 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 690.21/190.977 Info:Filtering - Merging: Total cpu/real time for replay: 96.88/83.7778 Info:Filtering - Singleton removal: Total cpu/real time for purge: 420.28/494.037 Info:Generate Factor Base: Total cpu/real time for makefb: 12/4.34005 Info:Quadratic Characters: Total cpu/real time for characters: 85.99/37.8866 Info:Linear Algebra: Total cpu/real time for bwc: 7351.7/1889.51 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Mksol: CPU time 7347.3, WCT time 1879.1, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38912 iterations) Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info) Info:Square Root: Total cpu/real time for sqrt: 1346.39/396.567 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.3181e+06/2326.57 207924988807817985831707370536160035109789737842888404350558510891 7965093630536424651155353870984344824397791328309034216038874189788772543906696170967 31947775482308053963345319120897056766735966503
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-90-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	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10²⁰⁵-18×10¹⁰²-59

c156

composite cofactor 合成数の残り	409049212104722250775114947789628460874536042912049026374294309771741082361679767440010403299400238708824615450206682201499295597593891692340540473566525379<156>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10²⁰⁷-18×10¹⁰³-59

c201

name 名前	ebina
date 日付	June 6, 2022 12:43:19 UTC 2022 年 6 月 6 日 (月) 21 時 43 分 19 秒 (日本時間)
composite number 合成数	168453026789253303321742080559964813531764260770002154514212634549749485081210361949965071264895248327550172470631478176994605965629181319974334496838389366705899376605883761010300397229082471738214563<201>
prime factors 素因数	25479491984787299871304252547913007007979979373597016728639963763754129279954643<80> 6611318109867704708656477051202059076700766749130996444529353756235917963559939711252504709504487116080586172130980019441<121>
factorization results 素因数分解の結果	Mon Jun 6 20:56:39 2022 Msieve v. 1.53 (SVN unknown) Mon Jun 6 20:56:39 2022 random seeds: 48e2b3b8 657660c9 Mon Jun 6 20:56:39 2022 factoring 168453026789253303321742080559964813531764260770002154514212634549749485081210361949965071264895248327550172470631478176994605965629181319974334496838389366705899376605883761010300397229082471738214563 (201 digits) Mon Jun 6 20:56:41 2022 searching for 15-digit factors Mon Jun 6 20:56:42 2022 commencing number field sieve (201-digit input) Mon Jun 6 20:56:42 2022 R0: -10000000000000000000000000000000000 Mon Jun 6 20:56:42 2022 R1: 1 Mon Jun 6 20:56:42 2022 A0: -1 Mon Jun 6 20:56:42 2022 A1: 0 Mon Jun 6 20:56:42 2022 A2: 0 Mon Jun 6 20:56:42 2022 A3: -36 Mon Jun 6 20:56:42 2022 A4: 0 Mon Jun 6 20:56:42 2022 A5: 0 Mon Jun 6 20:56:42 2022 A6: 1000 Mon Jun 6 20:56:42 2022 skew 0.32, size 2.871e-10, alpha -0.277, combined = 7.008e-12 rroots = 2 Mon Jun 6 20:56:42 2022 Mon Jun 6 20:56:42 2022 commencing square root phase Mon Jun 6 20:56:42 2022 reading relations for dependency 1 Mon Jun 6 20:56:43 2022 read 1937174 cycles Mon Jun 6 20:56:47 2022 cycles contain 6418092 unique relations Mon Jun 6 20:58:41 2022 read 6418092 relations Mon Jun 6 20:59:25 2022 multiplying 6418092 relations Mon Jun 6 21:08:00 2022 multiply complete, coefficients have about 211.13 million bits Mon Jun 6 21:08:02 2022 initial square root is modulo 37757477 Mon Jun 6 21:18:58 2022 GCD is N, no factor found Mon Jun 6 21:18:58 2022 reading relations for dependency 2 Mon Jun 6 21:19:00 2022 read 1939202 cycles Mon Jun 6 21:19:04 2022 cycles contain 6426220 unique relations Mon Jun 6 21:20:50 2022 read 6426220 relations Mon Jun 6 21:21:35 2022 multiplying 6426220 relations Mon Jun 6 21:30:10 2022 multiply complete, coefficients have about 211.40 million bits Mon Jun 6 21:30:13 2022 initial square root is modulo 38583497 Mon Jun 6 21:43:21 2022 sqrtTime: 2799 Mon Jun 6 21:43:21 2022 p80 factor: 25479491984787299871304252547913007007979979373597016728639963763754129279954643 Mon Jun 6 21:43:21 2022 p121 factor: 6611318109867704708656477051202059076700766749130996444529353756235917963559939711252504709504487116080586172130980019441 Mon Jun 6 21:43:21 2022 elapsed time 00:46:42

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10²¹³-18×10¹⁰⁶-59

c181

composite cofactor 合成数の残り	1325750753603497941721645616685766388460580936717829267750495459049402783523970593208789815852031538393423252086960699685504665998716805624836478046653746050621396688543400470480061<181>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10²¹⁵-18×10¹⁰⁷-59

c202

composite cofactor 合成数の残り	2854972724265200869970687063363301701400964614297277364887664560131642735976978660554580492838131607865548013321270339243494473225979254634227266319392999134698121372534105918665499665897163665027366579<202>

composite cofactor 合成数の残り

2854972724265200869970687063363301701400964614297277364887664560131642735976978660554580492838131607865548013321270339243494473225979254634227266319392999134698121372534105918665499665897163665027366579<202>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10²²⁵-18×10¹¹²-59

c188

composite cofactor 合成数の残り	97220535006104044402989609795809382789317307139660496099457185278931684988114412910390214090975076665720962365075875398632517798409878494069262934891368657629201918253609383645793982810799<188>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10²²⁷-18×10¹¹³-59

c187

composite cofactor 合成数の残り	6347452139117551899216020294405922715922382139958321292379347347478755782358976579145140030527492621684537772485455947214110952308728645255135260093382199579749854682079092736876719767849<187>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10²³¹-18×10¹¹⁵-59

c221

composite cofactor 合成数の残り	60240318402183616410568335366516066587520996611625281114013567361739056566637463142222478005023770629944846151796919695450133021264484267170770373811385709970088409046102520064305650747231394288103478015125891305035832073<221>

composite cofactor 合成数の残り

60240318402183616410568335366516066587520996611625281114013567361739056566637463142222478005023770629944846151796919695450133021264484267170770373811385709970088409046102520064305650747231394288103478015125891305035832073<221>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10²³³-18×10¹¹⁶-59

c209

composite cofactor 合成数の残り	59881526077804539624819477150442299936693847613256005444212028964254908206888579507818281918830777173581686177494715186463392374137460860147900256025401480855589685487340883746996303368987159836474873335693979<209>

composite cofactor 合成数の残り

59881526077804539624819477150442299936693847613256005444212028964254908206888579507818281918830777173581686177494715186463392374137460860147900256025401480855589685487340883746996303368987159836474873335693979<209>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10²³⁷-18×10¹¹⁸-59

c197

composite cofactor 合成数の残り	56224667909394010438861501880087908129325194779639171181606046042348894962488014457226342188592821256071562574833881205179702342727623008548039623536732301532311095076745914401440418455529699540039<197>

composite cofactor 合成数の残り

56224667909394010438861501880087908129325194779639171181606046042348894962488014457226342188592821256071562574833881205179702342727623008548039623536732301532311095076745914401440418455529699540039<197>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10²³⁹-18×10¹¹⁹-59

c211

composite cofactor 合成数の残り	2522089621628265788066905121143009341837661098247733105609575808125213559327755494474159496230644886714557598963737981539951038820384128791177418993976872391596008622791865909522017680069897481091654078539833649<211>

composite cofactor 合成数の残り

2522089621628265788066905121143009341837661098247733105609575808125213559327755494474159496230644886714557598963737981539951038820384128791177418993976872391596008622791865909522017680069897481091654078539833649<211>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10²⁴¹-18×10¹²⁰-59

c240

composite cofactor 合成数の残り	370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370237037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<240>

composite cofactor 合成数の残り

370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370237037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<240>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10²⁴⁷-18×10¹²³-59

c191

composite cofactor 合成数の残り	12300250211274572564503015124943381033127038164788400452219719789200437237642569318079501709590135385405173953739627012532904868275489983758671719693158384722618169042296045389164223654125561<191>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10²⁴⁹-18×10¹²⁴-59

c163

composite cofactor 合成数の残り	2560245741857892818199203296051097241227499626481573695539758667831903016203800114689752741238077526119092427742571144317949253234786361051374838637126860565369133<163>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10²⁵¹-18×10¹²⁵-59

c218

composite cofactor 合成数の残り	24393538353740084666914002969960851539837965946203037746941344082084039927703644499674426594331865647555816664931836085637608220771406374004467418799410134424177959568696387320436954336196202780256173806342786760370547<218>

composite cofactor 合成数の残り

24393538353740084666914002969960851539837965946203037746941344082084039927703644499674426594331865647555816664931836085637608220771406374004467418799410134424177959568696387320436954336196202780256173806342786760370547<218>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10²⁵⁵-18×10¹²⁷-59

c244

composite cofactor 合成数の残り	1222824449312304389930182052169468652332027891502681078499294700263648833964980428376736057380300341488558741359375034257484267336247317987085210773873185046738572771071598239199163499222332858527451409101511590241270314789603080304690739215069<244>

composite cofactor 合成数の残り

1222824449312304389930182052169468652332027891502681078499294700263648833964980428376736057380300341488558741359375034257484267336247317987085210773873185046738572771071598239199163499222332858527451409101511590241270314789603080304690739215069<244>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10²⁵⁹-18×10¹²⁹-59

c217

composite cofactor 合成数の残り	1481199660781582244899893764428745306536024807180443520918922357320142782827069135673080284825379016532375264004885527201124617263929590569881460330937265986230829958945618830132707508316704438036868925925769034089713<217>

composite cofactor 合成数の残り

1481199660781582244899893764428745306536024807180443520918922357320142782827069135673080284825379016532375264004885527201124617263929590569881460330937265986230829958945618830132707508316704438036868925925769034089713<217>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10²⁶¹-18×10¹³⁰-59

c194

composite cofactor 合成数の残り	46411832491173727371055460088837003680635412657975774550084001762832867624676199351732345826572173580784375613148115730316387495695412370610853633248284361646882115655830798981209282590240980029<194>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10²⁶³-18×10¹³¹-59

c230

composite cofactor 合成数の残り

99270929468767267325770363082068423520952022610207094585549727640605898447785820914217255196287973123573748135035165820166159774252278348043869907124528550984319865697428840299000664496884572213869129009765447698041139182461714327<230>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10²⁶⁷-18×10¹³³-59

c197

composite cofactor 合成数の残り

87629436679075519861055551507764712433937704091878444046641580070904052086371801782301049260179588453490014733003830164162640705072348138885343260434424475529902402794335072952422355251657847251939<197>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10²⁶⁹-18×10¹³⁴-59

c223

composite cofactor 合成数の残り

1255299263555385370605096572447929878253393742220243857379662532943312324637869657069111824746156589395884105348225394957469223489548731269608472086650247866672210826128992748698552228761726075746489964991278549865605213667<223>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10²⁷⁷-18×10¹³⁸-59

c152

composite cofactor 合成数の残り	27379071668170322958655239438689776422830620816216634976705844039216182519214931006224842478043785297362796518424273934202877163418323647444677956496043<152>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)
50	43e6	6618		Ignacio Santos	January 30, 2024 17:48:12 UTC 2024 年 1 月 31 日 (水) 2 時 48 分 12 秒 (日本時間)

5×10²⁸⁷-18×10¹⁴³-59

c247

composite cofactor 合成数の残り

4516672531049845557479007096592449549983522438279385925906927443372504086776883419542087956041152665947536688043659689362824064119910829495724188609206808754357651750399610939982095077911723558738263670860376762143018592110365013992699590554025067<247>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10²⁸⁹-18×10¹⁴⁴-59

c223

composite cofactor 合成数の残り

4923961609532300235205980920111188414078856320472590506717252079781667274086984197216790467694746044462873184303833107440792887009274897967446637617198091336500830016269871696712765021287998435516075313593023907935351859661<223>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10²⁹⁵-18×10¹⁴⁷-59

c243

composite cofactor 合成数の残り

387905466302385826566176128803869980738500140401854989290885469800815756545357455460542791111109297693051006763140720622368260314502810512630070938072029739319069938040084209518814840536009689326904990892261194918798348485181436157436154263107<243>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10²⁹⁷-18×10¹⁴⁸-59

c276

composite cofactor 合成数の残り

445241162205647583747719761559327646693191728268857714719790809336460726368465960148190900108641578997461117588300394847860835546974648044292868402936718258661394728516126896349046599376567815297483067297477708913949702512683811120491895426788365142243653354086545662360199827<276>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)

5×10³⁰¹-18×10¹⁵⁰-59

c269

composite cofactor 合成数の残り

35318146731244848482068490417066986820201714431390591700135220249346251191155661468161137289617303918992517642442560374226460647366683109041050447351090720927146010581986043890865437041297109016053248336821871922789534021796249490387818320961409375406740653798123343169<269>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	January 23, 2022 13:00:00 UTC 2022 年 1 月 23 日 (日) 22 時 0 分 0 秒 (日本時間)