Contributed factorization results of 822...225

Table of contents 目次

74×10¹⁴⁸+259
- c133
- ECM
74×10¹⁵¹+259
- c129
- ECM
74×10¹⁵³+259
- c135
- ECM
74×10¹⁵⁴+259
- c152
- ECM
74×10¹⁵⁵+259
- c121
- ECM
74×10¹⁵⁷+259
- c129
- ECM
74×10¹⁶⁵+259
- c131
- ECM
74×10¹⁶⁸+259
- c154
- ECM
74×10¹⁷³+259
- c173
- ECM
74×10¹⁷⁵+259
- c171
- ECM
74×10¹⁷⁷+259
- c137
- ECM
74×10¹⁷⁸+259
- c137
- ECM
74×10¹⁸⁰+259
- c138
- ECM
74×10¹⁸¹+259
- c149
- ECM
74×10¹⁸³+259
- c118
- ECM
74×10¹⁸⁴+259
- c168
- ECM
74×10¹⁸⁶+259
- c119
- ECM
74×10¹⁸⁷+259
- c152
- ECM
74×10¹⁹⁰+259
- c103
- ECM
74×10¹⁹¹+259
- c188
- ECM
74×10¹⁹²+259
- c110
- ECM
74×10¹⁹³+259
- c112
- ECM
74×10¹⁹⁵+259
- c116
- ECM
74×10¹⁹⁶+259
- c170
- ECM
74×10¹⁹⁹+259
- c184
- ECM
74×10²⁰⁰+259
- c178
- ECM
74×10²⁰¹+259
- c180
- ECM
74×10²⁰²+259
- c137
- ECM
74×10²⁰³+259
- c153
- ECM
74×10²⁰⁴+259
- c184
- ECM
74×10²⁰⁷+259
- c155
- ECM
74×10²¹¹+259
- c204
- ECM
74×10²¹²+259
- c149
- ECM
74×10²¹³+259
- c192
- ECM
74×10²¹⁵+259
- c169
- ECM
74×10²¹⁶+259
- c161
- ECM
74×10²¹⁷+259
- c209
- ECM
74×10²²²+259
- c157
- ECM
74×10²²⁴+259
- c167
- ECM
74×10²²⁶+259
- c193
- ECM
74×10²²⁷+259
- c189
- ECM
74×10²²⁸+259
- c211
- ECM
74×10²³⁰+259
- c220
- ECM
74×10²³¹+259
- c213
- ECM
74×10²³⁴+259
- c164
- ECM
74×10²³⁵+259
- c185
- ECM
74×10²³⁶+259
- c225
- ECM
74×10²³⁷+259
- c197
- c163
- c123
- ECM
74×10²³⁹+259
- c220
- ECM
74×10²⁴¹+259
- c232
- ECM
74×10²⁴²+259
- c230
- ECM
74×10²⁴³+259
- c228
- ECM
74×10²⁴⁵+259
- c180
- ECM
74×10²⁴⁶+259
- c237
- ECM
74×10²⁴⁸+259
- c246
- ECM
74×10²⁴⁹+259
- c229
- ECM
74×10²⁵⁰+259
- c161
- ECM
74×10²⁵²+259
- c236
- ECM
74×10²⁵⁴+259
- c218
- ECM
74×10²⁵⁵+259
- c254
- ECM
74×10²⁵⁶+259
- c162
- ECM
74×10²⁵⁷+259
- c240
- ECM
74×10²⁵⁸+259
- c230
- ECM
74×10²⁵⁹+259
- c256
- ECM
74×10²⁶¹+259
- c255
- ECM
74×10²⁶³+259
- c200
- ECM
74×10²⁶⁵+259
- c260
- ECM
74×10²⁶⁷+259
- c227
- ECM
74×10²⁶⁸+259
- c195
- ECM
74×10²⁷⁰+259
- c236
- ECM
74×10²⁷¹+259
- c249
- ECM
74×10²⁷²+259
- c222
- ECM
74×10²⁷³+259
- c153
- ECM
74×10²⁷⁴+259
- c247
- ECM
74×10²⁷⁵+259
- c217
- ECM
74×10²⁷⁶+259
- c219
- ECM
74×10²⁷⁷+259
- c255
- ECM
74×10²⁷⁸+259
- c251
- ECM
74×10²⁷⁹+259
- c270
- ECM
74×10²⁸⁰+259
- c268
- ECM
74×10²⁸¹+259
- c232
- ECM
74×10²⁸²+259
- c259
- ECM
74×10²⁸³+259
- c278
- ECM
74×10²⁸⁵+259
- c262
- ECM
74×10²⁸⁷+259
- c251
- ECM
74×10²⁸⁸+259
- c259
- ECM
74×10²⁸⁹+259
- c270
- ECM
74×10²⁹⁰+259
- c236
- ECM
74×10²⁹²+259
- c287
- ECM
74×10²⁹³+259
- c266
- ECM
74×10²⁹⁴+259
- c255
- ECM
74×10²⁹⁵+259
- c269
- ECM
74×10²⁹⁶+259
- c261
- ECM
74×10²⁹⁹+259
- c234
- ECM

74×10¹⁴⁸+259

c133

name 名前	Bob Backstrom
date 日付	December 25, 2022 17:52:06 UTC 2022 年 12 月 26 日 (月) 2 時 52 分 6 秒 (日本時間)
composite number 合成数	3851417335793010258257159655027526922373750812511022601070064955690408092060313431730960047481618804550878188772639071513745462669789<133>
prime factors 素因数	1481671946183973532723558816440049480454107438016365149089646431<64> 2599372516778956759353265648593617897412495576733575427924733019159619<70>
factorization results 素因数分解の結果	Number: n N=3851417335793010258257159655027526922373750812511022601070064955690408092060313431730960047481618804550878188772639071513745462669789 ( 133 digits) SNFS difficulty: 148 digits. Divisors found: Mon Dec 26 04:40:33 2022 p64 factor: 1481671946183973532723558816440049480454107438016365149089646431 Mon Dec 26 04:40:33 2022 p70 factor: 2599372516778956759353265648593617897412495576733575427924733019159619 Mon Dec 26 04:40:33 2022 elapsed time 00:04:15 (Msieve 1.54 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.311). Factorization parameters were as follows: # # N = 74x10^148+25 = 82(147)5 # n: 3851417335793010258257159655027526922373750812511022601070064955690408092060313431730960047481618804550878188772639071513745462669789 m: 100000000000000000000000000000 deg: 5 c5: 2960 c0: 1 skew: 0.20 # Murphy_E = 1.893e-09 type: snfs lss: 1 rlim: 2100000 alim: 2100000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 2100000/2100000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved special-q in [100000, 6650000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 789791 hash collisions in 8140214 relations (7697217 unique) Msieve: matrix is 285864 x 286089 (95.7 MB) Sieving start time : 2022/12/26 04:24:37 Sieving end time : 2022/12/26 04:36:04 Total sieving time: 0hrs 11min 27secs. Total relation processing time: 0hrs 1min 19sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 6sec. Prototype def-par.txt line would be: snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

74×10¹⁵¹+259

c129

name 名前	Bob Backstrom
date 日付	January 22, 2023 11:52:43 UTC 2023 年 1 月 22 日 (日) 20 時 52 分 43 秒 (日本時間)
composite number 合成数	105381661594042105882105282418448108006256331661166770963983733914872800460716505504600940325407084668636027797024029209071902221<129>
prime factors 素因数	5749232531199110045217330977110671664444044315520760523878773<61> 18329692010572198593346563252093066075996217917875080476393578417977<68>
factorization results 素因数分解の結果	Number: n N=105381661594042105882105282418448108006256331661166770963983733914872800460716505504600940325407084668636027797024029209071902221 ( 129 digits) SNFS difficulty: 152 digits. Divisors found: Sun Jan 22 22:48:54 2023 prp61 factor: 5749232531199110045217330977110671664444044315520760523878773 Sun Jan 22 22:48:54 2023 prp68 factor: 18329692010572198593346563252093066075996217917875080476393578417977 Sun Jan 22 22:48:54 2023 elapsed time 00:06:00 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.096). Factorization parameters were as follows: n: 105381661594042105882105282418448108006256331661166770963983733914872800460716505504600940325407084668636027797024029209071902221 m: 1000000000000000000000000000000 deg: 5 c5: 148 c0: 5 skew: 0.51 # Murphy_E = 1.43e-09 type: snfs lss: 1 rlim: 2400000 alim: 2400000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 5200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1031017 hash collisions in 13529633 relations (13417443 unique) Msieve: matrix is 334498 x 334733 (91.7 MB) Sieving start time: 2023/01/22 21:47:05 Sieving end time : 2023/01/22 22:42:45 Total sieving time: 0hrs 55min 40secs. Total relation processing time: 0hrs 2min 57sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 32sec. Prototype def-par.txt line would be: snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

74×10¹⁵³+259

c135

name 名前	Bob Backstrom
date 日付	December 29, 2022 08:45:02 UTC 2022 年 12 月 29 日 (木) 17 時 45 分 2 秒 (日本時間)
composite number 合成数	204519328192485292193893774054419433773621452063439046759886933769424473659253267260545259032058641417330792453094398094746138536958571<135>
prime factors 素因数	163486469293740429221256276496354611332179627849<48> 1250986268625203769603884556430637664283623794638659653225119946911408093420165865666579<88>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 204519328192485292193893774054419433773621452063439046759886933769424473659253267260545259032058641417330792453094398094746138536958571 (135 digits) Using B1=33730000, B2=144292738606, polynomial Dickson(12), sigma=1:2553055565 Step 1 took 54339ms Step 2 took 19503ms ********** Factor found in step 2: 163486469293740429221256276496354611332179627849 Found prime factor of 48 digits: 163486469293740429221256276496354611332179627849 Prime cofactor 1250986268625203769603884556430637664283623794638659653225119946911408093420165865666579 has 88 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

74×10¹⁵⁴+259

c152

name 名前	Bob Backstrom
date 日付	December 28, 2022 04:39:13 UTC 2022 年 12 月 28 日 (水) 13 時 39 分 13 秒 (日本時間)
composite number 合成数	22999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999223<152>
prime factors 素因数	22986832285185787287333023645471884830394608769<47> 1000539035300013796127108822641563859644900764395832055231016447835770321521680840212495190739616655149367<106>
factorization results 素因数分解の結果	Number: n N=22999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999223 ( 152 digits) SNFS difficulty: 154 digits. Divisors found: Wed Dec 28 15:34:46 2022 p47 factor: 22986832285185787287333023645471884830394608769 Wed Dec 28 15:34:46 2022 p106 factor: 1000539035300013796127108822641563859644900764395832055231016447835770321521680840212495190739616655149367 Wed Dec 28 15:34:46 2022 elapsed time 00:05:10 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.281). Factorization parameters were as follows: # # N = 74x10^154+25 = 82(153)5 # n: 22999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999222999223 m: 2000000000000000000000000000000 deg: 5 c5: 925 c0: 1 skew: 0.26 # Murphy_E = 1.294e-09 type: snfs lss: 1 rlim: 2600000 alim: 2600000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2600000/2600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 6900000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1108777 hash collisions in 13810940 relations (13631759 unique) Msieve: matrix is 306286 x 306515 (102.8 MB) Sieving start time : 2022/12/28 15:11:54 Sieving end time : 2022/12/28 15:29:18 Total sieving time: 0hrs 17min 24secs. Total relation processing time: 0hrs 1min 33sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 31sec. Prototype def-par.txt line would be: snfs,154,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

74×10¹⁵⁵+259

c121

name 名前	Eric Jeancolas
date 日付	January 10, 2023 09:14:06 UTC 2023 年 1 月 10 日 (火) 18 時 14 分 6 秒 (日本時間)
composite number 合成数	1547974266781257737415474926537051191059192078679336372737048593284919760737979073407698589784284989203225231855096704643<121>
prime factors 素因数	177702255352138328736733323591904576157<39> 8711055826015044644819803168902748848762935759272614084623127782440323064413674399<82>
factorization results 素因数分解の結果	1547974266781257737415474926537051191059192078679336372737048593284919760737979073407698589784284989203225231855096704643=1777022553521383287367333235919045761578711055826015044644819803168902748848762935759272614084623127782440323064413674399 cado polynomial n: 1547974266781257737415474926537051191059192078679336372737048593284919760737979073407698589784284989203225231855096704643 skew: 0.80 type: snfs c0: 25 c5: 74 Y0: 10000000000000000000000000000000 Y1: -1 # f(x) = 74x^5+25 # g(x) = -x+10000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 2900000 tasks.lim1 = 2900000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 50 tasks.sieve.mfb1 = 50 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:Filtering - Merging: Merged matrix has 279538 rows and total weight 47831345 (171.1 entries per row on average) Info:Square Root: Factors: 177702255352138328736733323591904576157 8711055826015044644819803168902748848762935759272614084623127782440323064413674399 Info:Square Root: Total cpu/real time for sqrt: 53.16/11.1748 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: 1.51/0.38667 Info:Generate Free Relations: Total cpu/real time for freerel: 48.72/6.3608 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11618192 Info:Lattice Sieving: Average J: 1895.02 for 175179 special-q, max bucket fill -bkmult 1.0,1s:1.151530 Info:Lattice Sieving: Total time: 25046.9s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.44/20.4069 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.4s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 120.85/38.4284 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 35.900000000000006s Info:Filtering - Singleton removal: Total cpu/real time for purge: 107.32/40.014 Info:Filtering - Merging: Total cpu/real time for merge: 57.44/8.16155 Info:Filtering - Merging: Total cpu/real time for replay: 8.28/6.80667 Info:Linear Algebra: Total cpu/real time for bwc: 758.75/201.19 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 122.11, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8832 iterations) Info:Linear Algebra: Lingen CPU time 23.84, WCT time 6.49 Info:Linear Algebra: Mksol: WCT time 66.82, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4480 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 10.48/2.65013 Info:Square Root: Total cpu/real time for sqrt: 53.16/11.1748 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 54035/13011.7 Info:root: Cleaning up computation data in /tmp/cado.dx8_ocmv 177702255352138328736733323591904576157 8711055826015044644819803168902748848762935759272614084623127782440323064413674399
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic\|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] 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
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

74×10¹⁵⁷+259

c129

name 名前	Eric Jeancolas
date 日付	January 14, 2023 05:43:43 UTC 2023 年 1 月 14 日 (土) 14 時 43 分 43 秒 (日本時間)
composite number 合成数	395262427494629780823666061356296443555655609036142413184658453137785259104009907825729165583332892235198666946947194340620980307<129>
prime factors 素因数	177384668690101341743824106281585940118244518523368784693<57> 2228278409929384992577839736750957575440238223495319535207823723529104999<73>
factorization results 素因数分解の結果	395262427494629780823666061356296443555655609036142413184658453137785259104009907825729165583332892235198666946947194340620980307=1773846686901013417438241062815859401182445185233687846932228278409929384992577839736750957575440238223495319535207823723529104999 cado polynomial n: 395262427494629780823666061356296443555655609036142413184658453137785259104009907825729165583332892235198666946947194340620980307 skew: 0.32 type: snfs c0: 1 c5: 296 Y0: 10000000000000000000000000000000 Y1: -1 # f(x) = 296x^5+1 # g(x) = -x+10000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 2900000 tasks.lim1 = 2900000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 50 tasks.sieve.mfb1 = 50 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: 2228278409929384992577839736750957575440238223495319535207823723529104999 177384668690101341743824106281585940118244518523368784693 Info:Square Root: Total cpu/real time for sqrt: 94.83/30.0463 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 105.1/100.952 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 88.9s Info:Square Root: Total cpu/real time for sqrt: 94.83/30.0463 Info:Generate Free Relations: Total cpu/real time for freerel: 60.44/16.905 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.24/42.7663 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 42.7s Info:Filtering - Singleton removal: Total cpu/real time for purge: 94.77/78.0307 Info:Filtering - Merging: Merged matrix has 277350 rows and total weight 47165146 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 55.92/15.6628 Info:Filtering - Merging: Total cpu/real time for replay: 8.4/7.16247 Info:Generate Factor Base: Total cpu/real time for makefb: 1.26/0.775284 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11649180 Info:Lattice Sieving: Average J: 1894.37 for 168613 special-q, max bucket fill -bkmult 1.0,1s:1.237560 Info:Lattice Sieving: Total time: 21734.3s Info:Linear Algebra: Total cpu/real time for bwc: 1026.59/275.41 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 618.05, WCT time 163.85, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8704 iterations) Info:Linear Algebra: Lingen CPU time 44.28, WCT time 11.46 Info:Linear Algebra: Mksol: CPU time 340.63, WCT time 90.29, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4352 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 8.67/3.46258 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 41388.6/11612.9 Info:root: Cleaning up computation data in /tmp/cado.t84iqmng 2228278409929384992577839736750957575440238223495319535207823723529104999 177384668690101341743824106281585940118244518523368784693
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic\|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] 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
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

74×10¹⁶⁵+259

c131

name 名前	Bob Backstrom
date 日付	January 31, 2023 10:23:52 UTC 2023 年 1 月 31 日 (火) 19 時 23 分 52 秒 (日本時間)
composite number 合成数	58580897394740228544411169888510684133042763736575331974564685623333685726588194554029176992326148616052660962337520281007656278929<131>
prime factors 素因数	6526869444651583580779463167119955423176134854007131<52> 8975343829306116249838845684035566973324316492638738869784374829915507305072259<79>
factorization results 素因数分解の結果	Number: n N=58580897394740228544411169888510684133042763736575331974564685623333685726588194554029176992326148616052660962337520281007656278929 ( 131 digits) SNFS difficulty: 166 digits. Divisors found: Tue Jan 31 21:20:50 2023 prp52 factor: 6526869444651583580779463167119955423176134854007131 Tue Jan 31 21:20:50 2023 prp79 factor: 8975343829306116249838845684035566973324316492638738869784374829915507305072259 Tue Jan 31 21:20:50 2023 elapsed time 00:23:01 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.103). Factorization parameters were as follows: # # N = 74x10^165+25 = 82(164)5 # n: 58580897394740228544411169888510684133042763736575331974564685623333685726588194554029176992326148616052660962337520281007656278929 m: 1000000000000000000000000000000000 deg: 5 c5: 74 c0: 25 skew: 0.80 # Murphy_E = 3.784e-10 type: snfs lss: 1 rlim: 4200000 alim: 4200000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 4200000/4200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 27700000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1724582 hash collisions in 20259200 relations (19458062 unique) Msieve: matrix is 848466 x 848711 (129.2 MB) Sieving start time: 2023/01/31 17:20:14 Sieving end time : 2023/01/31 20:57:36 Total sieving time: 3hrs 37min 22secs. Total relation processing time: 0hrs 16min 13sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 11sec. Prototype def-par.txt line would be: snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

74×10¹⁶⁸+259

c154

name 名前	Bob Backstrom
date 日付	December 31, 2022 08:14:13 UTC 2022 年 12 月 31 日 (土) 17 時 14 分 13 秒 (日本時間)
composite number 合成数	2210061658465934158865853078797823937877175744441770063917968213621883927591820776840864930010166383985730209929171120940050742846055891702593370585081591<154>
prime factors 素因数	2372828348824341140372402375088506416219<40> 931403933858488940255026264535728766815775275237463767796789509516844484811151270861003383918440616010985415139989<114>
factorization results 素因数分解の結果	Number: n N=2210061658465934158865853078797823937877175744441770063917968213621883927591820776840864930010166383985730209929171120940050742846055891702593370585081591 ( 154 digits) SNFS difficulty: 168 digits. Divisors found: Sat Dec 31 19:05:43 2022 p40 factor: 2372828348824341140372402375088506416219 Sat Dec 31 19:05:43 2022 p114 factor: 931403933858488940255026264535728766815775275237463767796789509516844484811151270861003383918440616010985415139989 Sat Dec 31 19:05:43 2022 elapsed time 00:08:52 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.313). Factorization parameters were as follows: # # N = 74x10^168+25 = 82(167)5 # n: 2210061658465934158865853078797823937877175744441770063917968213621883927591820776840864930010166383985730209929171120940050742846055891702593370585081591 m: 1000000000000000000000000000000000 deg: 5 c5: 2960 c0: 1 skew: 0.20 # Murphy_E = 3.201e-10 type: snfs lss: 1 rlim: 4500000 alim: 4500000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 4500000/4500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 7850000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1597179 hash collisions in 14773151 relations (14088257 unique) Msieve: matrix is 567753 x 567978 (197.2 MB) Sieving start time : 2022/12/31 18:14:29 Sieving end time : 2022/12/31 18:56:33 Total sieving time: 0hrs 42min 4secs. Total relation processing time: 0hrs 4min 43sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 38sec. Prototype def-par.txt line would be: snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

74×10¹⁷³+259

c173

name 名前	Bob Backstrom
date 日付	December 25, 2022 19:03:31 UTC 2022 年 12 月 26 日 (月) 4 時 3 分 31 秒 (日本時間)
composite number 合成数	10962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<173>
prime factors 素因数	1554260667972969871038767483232761<34> 2132566937478827494597322062375056697<37> 32564879021317734361109070744228091770571<41> 101566841970393723398559646939845240468752203721722491311980009<63>
factorization results 素因数分解の結果	Number: n N=10962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963 ( 173 digits) SNFS difficulty: 173 digits. Divisors found: Mon Dec 26 05:49:17 2022 found factor: 50614310620132255168790783807450526004730122804294395777676326011402876531 Mon Dec 26 05:50:17 2022 found factor: 2132566937478827494597322062375056697 Mon Dec 26 05:52:16 2022 found factor: 2132566937478827494597322062375056697 Mon Dec 26 05:53:16 2022 p34 factor: 1554260667972969871038767483232761 Mon Dec 26 05:53:16 2022 p37 factor: 2132566937478827494597322062375056697 Mon Dec 26 05:53:16 2022 p41 factor: 32564879021317734361109070744228091770571 Mon Dec 26 05:53:16 2022 p63 factor: 101566841970393723398559646939845240468752203721722491311980009 Mon Dec 26 05:53:16 2022 elapsed time 00:16:53 (Msieve 1.54 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.327). Factorization parameters were as follows: # # N = 74x10^173+25 = 82(172)5 # n: 10962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963 m: 10000000000000000000000000000000000 deg: 5 c5: 2960 c0: 1 skew: 0.20 # Murphy_E = 2.028e-10 type: snfs lss: 1 rlim: 5400000 alim: 5400000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5400000/5400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 8300000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1338159 hash collisions in 12363261 relations (11756599 unique) Msieve: matrix is 775457 x 775682 (271.5 MB) Sieving start time : 2022/12/26 04:46:05 Sieving end time : 2022/12/26 05:36:05 Total sieving time: 0hrs 50min 0secs. Total relation processing time: 0hrs 8min 48sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 59sec. Prototype def-par.txt line would be: snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

74×10¹⁷⁵+259

c171

name 名前	Bob Backstrom
date 日付	December 25, 2022 23:17:13 UTC 2022 年 12 月 26 日 (月) 8 時 17 分 13 秒 (日本時間)
composite number 合成数	426962078266764752549511734244955068011020237425534063207696856924430597025689846668686081901712175631427870815122535231583654276111760208865232881849784355301686211721263<171>
prime factors 素因数	31344097145917664948427545519386333437379238793643409277589607<62> 13621769875173239155666194913713378628612099339385369652137619396558435173459768935861716518787796368747996409<110>
factorization results 素因数分解の結果	Number: n N=426962078266764752549511734244955068011020237425534063207696856924430597025689846668686081901712175631427870815122535231583654276111760208865232881849784355301686211721263 ( 171 digits) SNFS difficulty: 176 digits. Divisors found: Mon Dec 26 10:10:49 2022 p62 factor: 31344097145917664948427545519386333437379238793643409277589607 Mon Dec 26 10:10:49 2022 p110 factor: 13621769875173239155666194913713378628612099339385369652137619396558435173459768935861716518787796368747996409 Mon Dec 26 10:10:49 2022 elapsed time 00:13:27 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.302). Factorization parameters were as follows: # # N = 74x10^175+25 = 82(174)5 # n: 426962078266764752549511734244955068011020237425534063207696856924430597025689846668686081901712175631427870815122535231583654276111760208865232881849784355301686211721263 m: 100000000000000000000000000000000000 deg: 5 c5: 74 c0: 25 skew: 0.80 # Murphy_E = 1.516e-10 type: snfs lss: 1 rlim: 6200000 alim: 6200000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.5 alambda: 2.5 Factor base limits: 6200000/6200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 30300000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1592444 hash collisions in 13681363 relations (12879383 unique) Msieve: matrix is 797556 x 797783 (274.9 MB) Sieving start time : 2022/12/26 06:07:30 Sieving end time : 2022/12/26 09:56:18 Total sieving time: 3hrs 48min 48secs. Total relation processing time: 0hrs 9min 13sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 48sec. Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,6200000,6200000,27,27,51,51,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

74×10¹⁷⁷+259

c137

name 名前	Bob Backstrom
date 日付	January 4, 2023 23:37:11 UTC 2023 年 1 月 5 日 (木) 8 時 37 分 11 秒 (日本時間)
composite number 合成数	77374703087662502377800796675294022779130870139342934965510664649833493167858152759290003132378683190254462069544425876253199088819917887<137>
prime factors 素因数	5056932636164014849636959935860981613<37> 15300718568866646322949098675564578295117424262795961716669996192741681263712020468119278272220961499<101>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 77374703087662502377800796675294022779130870139342934965510664649833493167858152759290003132378683190254462069544425876253199088819917887 (137 digits) Using B1=27740000, B2=144287213086, polynomial Dickson(12), sigma=1:119837161 Step 1 took 55370ms Step 2 took 21996ms ********** Factor found in step 2: 5056932636164014849636959935860981613 Found prime factor of 37 digits: 5056932636164014849636959935860981613 Prime cofactor 15300718568866646322949098675564578295117424262795961716669996192741681263712020468119278272220961499 has 101 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

74×10¹⁷⁸+259

c137

name 名前	Bob Backstrom
date 日付	January 5, 2023 09:03:44 UTC 2023 年 1 月 5 日 (木) 18 時 3 分 44 秒 (日本時間)
composite number 合成数	96056982441994628388859270416715740509741760489619570435849624613942216171616908117495836077050779432430878257723937041767863902210719557<137>
prime factors 素因数	12780970320681735050479037870428002870230254979<47> 7515625185871722083256311292703623301792624347026593806796395670210849038030280398574949783<91>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 96056982441994628388859270416715740509741760489619570435849624613942216171616908117495836077050779432430878257723937041767863902210719557 (137 digits) Using B1=30380000, B2=144289285156, polynomial Dickson(12), sigma=1:964538640 Step 1 took 60185ms Step 2 took 21955ms ********** Factor found in step 2: 12780970320681735050479037870428002870230254979 Found prime factor of 47 digits: 12780970320681735050479037870428002870230254979 Prime cofactor 7515625185871722083256311292703623301792624347026593806796395670210849038030280398574949783 has 91 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

74×10¹⁸⁰+259

c138

name 名前	Bob Backstrom
date 日付	January 6, 2023 22:51:58 UTC 2023 年 1 月 7 日 (土) 7 時 51 分 58 秒 (日本時間)
composite number 合成数	542877726419718774711003098470072984074609233020339553850846142070855583678589363993393223947924740674097397160326945298886240220757481949<138>
prime factors 素因数	463385907283942906556710687317345099083509<42> 1171545612169570595999619590708112660028883580986676697991999722913339943727118301396384554393161<97>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 542877726419718774711003098470072984074609233020339553850846142070855583678589363993393223947924740674097397160326945298886240220757481949 (138 digits) Using B1=26180000, B2=144285141016, polynomial Dickson(12), sigma=1:3317166141 Step 1 took 51298ms Step 2 took 21635ms ********** Factor found in step 2: 463385907283942906556710687317345099083509 Found prime factor of 42 digits: 463385907283942906556710687317345099083509 Prime cofactor 1171545612169570595999619590708112660028883580986676697991999722913339943727118301396384554393161 has 97 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

74×10¹⁸¹+259

c149

name 名前	Erik Branger
date 日付	January 13, 2023 15:47:17 UTC 2023 年 1 月 14 日 (土) 0 時 47 分 17 秒 (日本時間)
composite number 合成数	40982182311691378071485766844032980297360852441707794266744160860240001011862170446852767411515252803381667125026617308217398968781357134298720598033<149>
prime factors 素因数	78307758732142713831921773369341870203998516758221924930457<59> 523347660247484059246163358188743488631938518085024746365552078686356729508591440190624569<90>
factorization results 素因数分解の結果	Number: 82225_181 N = 40982182311691378071485766844032980297360852441707794266744160860240001011862170446852767411515252803381667125026617308217398968781357134298720598033 (149 digits) SNFS difficulty: 183 digits. Divisors found: r1=78307758732142713831921773369341870203998516758221924930457 (pp59) r2=523347660247484059246163358188743488631938518085024746365552078686356729508591440190624569 (pp90) Version: Msieve v. 1.52 (SVN unknown) Total time: 16.15 hours. Factorization parameters were as follows: n: 40982182311691378071485766844032980297360852441707794266744160860240001011862170446852767411515252803381667125026617308217398968781357134298720598033 m: 1000000000000000000000000000000000000000000000000000000000000 deg: 3 c3: 148 c0: 5 skew: 1.00 type: snfs lss: 1 rlim: 12000000 alim: 12000000 lpbr: 29 lpba: 26 mfbr: 58 mfba: 52 rlambda: 2.8 alambda: 2.8 side: 1 maxa: 10000000 maxb: 10000000 Number of cores used: 4 Number of threads per core: 1 Factor base limits: 12000000/12000000 Large primes per side: 3 Large prime bits: 29/26 Total raw relations: 17453684 Relations: 4594000 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 1.99 hours. Total relation processing time: 0.25 hours. Pruned matrix : 3544337 x 3544585 Matrix solve time: 13.87 hours. time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,183,3,0,0,0,0,0,0,0,0,12000000,12000000,29,26,58,52,2.8,2.8,100000 total time: 16.15 hours. Intel64 Family 6 Model 165 Stepping 5, GenuineIntel Windows-10-10.0.22621-SP0 processors: 16, speed: 3.79GHz
software ソフトウェア	GGNFS, NFS_factory, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

74×10¹⁸³+259

c118

name 名前	ebina
date 日付	December 24, 2022 07:39:39 UTC 2022 年 12 月 24 日 (土) 16 時 39 分 39 秒 (日本時間)
composite number 合成数	1131296602764392762121765784723851244225022359856889526461604911075147665900590959920655942216344447880926542289865233<118>
prime factors 素因数	4761025921464150254471951715064450065304201<43> 237616140181922603355152675566028013072328894263824653396922410539307106633<75>
factorization results 素因数分解の結果	Number: 82225_183 N = 1131296602764392762121765784723851244225022359856889526461604911075147665900590959920655942216344447880926542289865233 (118 digits) Divisors found: r1=4761025921464150254471951715064450065304201 (pp43) r2=237616140181922603355152675566028013072328894263824653396922410539307106633 (pp75) Version: Msieve v. 1.53 (SVN unknown) Total time: 2.42 hours. Factorization parameters were as follows: n: 1131296602764392762121765784723851244225022359856889526461604911075147665900590959920655942216344447880926542289865233 # norm 3.129752e-11 alpha -6.361388 e 3.682e-10 rroots 5 skew: 474373.24 c0: -21140284317961371973629493200 c1: 19445051068344303024583636 c2: 36935216012128104878 c3: -407619228808733 c4: -131572428 c5: 252 Y0: -85199158967727013771697 Y1: 224073045239 type: gnfs Factor base limits: 3800000/3800000 Large primes per side: 3 Large prime bits: 27/27 Sieved algebraic special-q in [0, 0) Total raw relations: 10000335 Relations: 1129246 relations Pruned matrix : 631516 x 631743 Total sieving time: 2.22 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.11 hours. time per square root: 0.02 hours. Prototype def-par.txt line would be: gnfs,117,5,63,2000,2.6e-05,0.28,250,20,50000,3600,3800000,3800000,27,27,53,53,2.5,2.5,100000 total time: 2.42 hours. Intel64 Family 6 Model 94 Stepping 3, GenuineIntel processors: 8, speed: 2.81GHz Windows-post2008Server-6.2.9200 Running Python 3.2

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

74×10¹⁸⁴+259

c168

name 名前	Bob Backstrom
date 日付	January 8, 2023 10:07:48 UTC 2023 年 1 月 8 日 (日) 19 時 7 分 48 秒 (日本時間)
composite number 合成数	857635091867120798577378358561573261810118993409950388949289434490358663658446773402738468488673771348849748157701255675262410666161324646047720924992536835004428794277<168>
prime factors 素因数	413181620652985627119427675541949160462446256277<48> 13459950578344261492025389179565983332098031413562639<53> 154211969130482700225639287073211730744419513822016309703045803209759<69>
factorization results 素因数分解の結果	Number: n N=857635091867120798577378358561573261810118993409950388949289434490358663658446773402738468488673771348849748157701255675262410666161324646047720924992536835004428794277 ( 168 digits) SNFS difficulty: 184 digits. Divisors found: Sun Jan 8 21:04:15 2023 prp48 factor: 413181620652985627119427675541949160462446256277 Sun Jan 8 21:04:15 2023 prp53 factor: 13459950578344261492025389179565983332098031413562639 Sun Jan 8 21:04:15 2023 prp69 factor: 154211969130482700225639287073211730744419513822016309703045803209759 Sun Jan 8 21:04:15 2023 elapsed time 00:46:13 (Msieve 1.44 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.089). Factorization parameters were as follows: # # N = 74x10^184+25 = 82(183)5 # n: 857635091867120798577378358561573261810118993409950388949289434490358663658446773402738468488673771348849748157701255675262410666161324646047720924992536835004428794277 m: 2000000000000000000000000000000000000 deg: 5 c5: 925 c0: 1 skew: 0.26 # Murphy_E = 8.434e-11 type: snfs lss: 1 rlim: 7800000 alim: 7800000 lpbr: 27 lpba: 27 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 7800000/7800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 53/53 Sieved special-q in [100000, 15100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1045949 hash collisions in 13006728 relations (12826928 unique) Msieve: matrix is 1172072 x 1172300 (333.0 MB) Sieving start time: 2023/01/08 13:27:22 Sieving end time : 2023/01/08 20:17:48 Total sieving time: 6hrs 50min 26secs. Total relation processing time: 0hrs 38min 37sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 30sec. Prototype def-par.txt line would be: snfs,184,5,0,0,0,0,0,0,0,0,7800000,7800000,27,27,53,53,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

74×10¹⁸⁶+259

c119

name 名前	Ignacio Santos
date 日付	December 28, 2022 13:43:40 UTC 2022 年 12 月 28 日 (水) 22 時 43 分 40 秒 (日本時間)
composite number 合成数	16053619308078919325029457192444136338056446717786444794263802682655027336324696971011685717952352285382982113327519389<119>
prime factors 素因数	231350003940930419872980148539252143542062636293434561<54> 69391048344990819258173864753279560508995153808253841725045961949<65>
factorization results 素因数分解の結果	-> makeJobFile(): Adjusted to q0=2000000, q1=2100000. -> client 1 q0: 2000000 LatSieveTime: 92 LatSieveTime: 93 LatSieveTime: 94 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 118 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 132 -> makeJobFile(): Adjusted to q0=2100001, q1=2200000. -> client 1 q0: 2100001 LatSieveTime: 85 LatSieveTime: 88 LatSieveTime: 97 LatSieveTime: 99 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 115 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 124 LatSieveTime: 125 -> makeJobFile(): Adjusted to q0=2200001, q1=2300000. -> client 1 q0: 2200001 LatSieveTime: 93 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 128 LatSieveTime: 129 -> makeJobFile(): Adjusted to q0=2300001, q1=2400000. -> client 1 q0: 2300001 LatSieveTime: 91 LatSieveTime: 95 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 131 LatSieveTime: 137 -> makeJobFile(): Adjusted to q0=2400001, q1=2500000. -> client 1 q0: 2400001 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 132 -> makeJobFile(): Adjusted to q0=2500001, q1=2600000. -> client 1 q0: 2500001 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 132 LatSieveTime: 133 LatSieveTime: 139 LatSieveTime: 142 -> makeJobFile(): Adjusted to q0=2600001, q1=2700000. -> client 1 q0: 2600001 LatSieveTime: 93 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 135 LatSieveTime: 137 -> makeJobFile(): Adjusted to q0=2700001, q1=2800000. -> client 1 q0: 2700001 LatSieveTime: 92 LatSieveTime: 94 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 101 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 129 LatSieveTime: 131 LatSieveTime: 132 -> makeJobFile(): Adjusted to q0=2800001, q1=2900000. -> client 1 q0: 2800001 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 100 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 131 LatSieveTime: 136 LatSieveTime: 139 -> makeJobFile(): Adjusted to q0=2900001, q1=3000000. -> client 1 q0: 2900001 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 129 LatSieveTime: 134 LatSieveTime: 135 LatSieveTime: 136 -> makeJobFile(): Adjusted to q0=3000001, q1=3100000. -> client 1 q0: 3000001 LatSieveTime: 98 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 128 LatSieveTime: 131 LatSieveTime: 134 LatSieveTime: 137 LatSieveTime: 138 LatSieveTime: 142 -> makeJobFile(): Adjusted to q0=3100001, q1=3200000. -> client 1 q0: 3100001 LatSieveTime: 97 LatSieveTime: 100 LatSieveTime: 102 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 133 LatSieveTime: 133 LatSieveTime: 133 LatSieveTime: 136 LatSieveTime: 142 -> makeJobFile(): Adjusted to q0=3200001, q1=3300000. -> client 1 q0: 3200001 LatSieveTime: 84 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 104 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 130 LatSieveTime: 134 LatSieveTime: 134 LatSieveTime: 135 LatSieveTime: 138 -> makeJobFile(): Adjusted to q0=3300001, q1=3400000. -> client 1 q0: 3300001 LatSieveTime: 91 LatSieveTime: 96 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 100 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 114 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 132 LatSieveTime: 136 LatSieveTime: 139 -> makeJobFile(): Adjusted to q0=3400001, q1=3500000. -> client 1 q0: 3400001 LatSieveTime: 99 LatSieveTime: 101 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 130 LatSieveTime: 134 -> makeJobFile(): Adjusted to q0=3500001, q1=3600000. -> client 1 q0: 3500001 LatSieveTime: 87 LatSieveTime: 100 LatSieveTime: 103 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 130 LatSieveTime: 135 LatSieveTime: 143 Wed Dec 28 14:26:36 2022 Wed Dec 28 14:26:36 2022 Wed Dec 28 14:26:36 2022 Msieve v. 1.52 (SVN 927) Wed Dec 28 14:26:36 2022 random seeds: 0aeba5b8 5f6e9ca1 Wed Dec 28 14:26:36 2022 factoring 16053619308078919325029457192444136338056446717786444794263802682655027336324696971011685717952352285382982113327519389 (119 digits) Wed Dec 28 14:26:36 2022 searching for 15-digit factors Wed Dec 28 14:26:36 2022 commencing number field sieve (119-digit input) Wed Dec 28 14:26:36 2022 R0: -71124781499039007948630 Wed Dec 28 14:26:36 2022 R1: 313882726487 Wed Dec 28 14:26:36 2022 A0: -657874308574398083891933873 Wed Dec 28 14:26:36 2022 A1: 50689554823213924333470 Wed Dec 28 14:26:36 2022 A2: 3199288895287719460 Wed Dec 28 14:26:36 2022 A3: -64987554455470 Wed Dec 28 14:26:36 2022 A4: -1616287167 Wed Dec 28 14:26:36 2022 A5: 8820 Wed Dec 28 14:26:36 2022 skew 47182.44, size 1.904e-011, alpha -4.146, combined = 3.174e-010 rroots = 5 Wed Dec 28 14:26:36 2022 Wed Dec 28 14:26:36 2022 commencing relation filtering Wed Dec 28 14:26:36 2022 estimated available RAM is 65413.5 MB Wed Dec 28 14:26:36 2022 commencing duplicate removal, pass 1 Wed Dec 28 14:26:54 2022 found 836881 hash collisions in 9218302 relations Wed Dec 28 14:27:04 2022 added 62211 free relations Wed Dec 28 14:27:04 2022 commencing duplicate removal, pass 2 Wed Dec 28 14:27:07 2022 found 625428 duplicates and 8655085 unique relations Wed Dec 28 14:27:07 2022 memory use: 32.6 MB Wed Dec 28 14:27:07 2022 reading ideals above 100000 Wed Dec 28 14:27:07 2022 commencing singleton removal, initial pass Wed Dec 28 14:27:39 2022 memory use: 188.3 MB Wed Dec 28 14:27:39 2022 reading all ideals from disk Wed Dec 28 14:27:39 2022 memory use: 305.5 MB Wed Dec 28 14:27:39 2022 keeping 10132080 ideals with weight <= 200, target excess is 46212 Wed Dec 28 14:27:40 2022 commencing in-memory singleton removal Wed Dec 28 14:27:40 2022 begin with 8655085 relations and 10132080 unique ideals Wed Dec 28 14:27:44 2022 reduce to 2127963 relations and 2260260 ideals in 28 passes Wed Dec 28 14:27:44 2022 max relations containing the same ideal: 77 Wed Dec 28 14:27:44 2022 filtering wants 1000000 more relations Wed Dec 28 14:27:44 2022 elapsed time 00:01:08 -> makeJobFile(): Adjusted to q0=3600001, q1=3700000. -> client 1 q0: 3600001 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 129 LatSieveTime: 131 LatSieveTime: 132 LatSieveTime: 132 LatSieveTime: 133 LatSieveTime: 133 LatSieveTime: 136 Wed Dec 28 14:30:05 2022 Wed Dec 28 14:30:05 2022 Wed Dec 28 14:30:05 2022 Msieve v. 1.52 (SVN 927) Wed Dec 28 14:30:05 2022 random seeds: 037df330 a0617ec0 Wed Dec 28 14:30:05 2022 factoring 16053619308078919325029457192444136338056446717786444794263802682655027336324696971011685717952352285382982113327519389 (119 digits) Wed Dec 28 14:30:05 2022 searching for 15-digit factors Wed Dec 28 14:30:06 2022 commencing number field sieve (119-digit input) Wed Dec 28 14:30:06 2022 R0: -71124781499039007948630 Wed Dec 28 14:30:06 2022 R1: 313882726487 Wed Dec 28 14:30:06 2022 A0: -657874308574398083891933873 Wed Dec 28 14:30:06 2022 A1: 50689554823213924333470 Wed Dec 28 14:30:06 2022 A2: 3199288895287719460 Wed Dec 28 14:30:06 2022 A3: -64987554455470 Wed Dec 28 14:30:06 2022 A4: -1616287167 Wed Dec 28 14:30:06 2022 A5: 8820 Wed Dec 28 14:30:06 2022 skew 47182.44, size 1.904e-011, alpha -4.146, combined = 3.174e-010 rroots = 5 Wed Dec 28 14:30:06 2022 Wed Dec 28 14:30:06 2022 commencing relation filtering Wed Dec 28 14:30:06 2022 estimated available RAM is 65413.5 MB Wed Dec 28 14:30:06 2022 commencing duplicate removal, pass 1 Wed Dec 28 14:30:25 2022 found 933850 hash collisions in 9866963 relations Wed Dec 28 14:30:35 2022 added 174 free relations Wed Dec 28 14:30:35 2022 commencing duplicate removal, pass 2 Wed Dec 28 14:30:38 2022 found 695427 duplicates and 9171710 unique relations Wed Dec 28 14:30:38 2022 memory use: 34.6 MB Wed Dec 28 14:30:38 2022 reading ideals above 100000 Wed Dec 28 14:30:38 2022 commencing singleton removal, initial pass Wed Dec 28 14:31:12 2022 memory use: 344.5 MB Wed Dec 28 14:31:12 2022 reading all ideals from disk Wed Dec 28 14:31:12 2022 memory use: 323.9 MB Wed Dec 28 14:31:12 2022 keeping 10379666 ideals with weight <= 200, target excess is 49001 Wed Dec 28 14:31:13 2022 commencing in-memory singleton removal Wed Dec 28 14:31:13 2022 begin with 9171710 relations and 10379666 unique ideals Wed Dec 28 14:31:17 2022 reduce to 2845631 relations and 2837644 ideals in 21 passes Wed Dec 28 14:31:17 2022 max relations containing the same ideal: 90 Wed Dec 28 14:31:17 2022 filtering wants 1000000 more relations Wed Dec 28 14:31:17 2022 elapsed time 00:01:12 -> makeJobFile(): Adjusted to q0=3700001, q1=3800000. -> client 1 q0: 3700001 LatSieveTime: 92 LatSieveTime: 93 LatSieveTime: 99 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 132 LatSieveTime: 134 LatSieveTime: 135 LatSieveTime: 135 LatSieveTime: 140 Wed Dec 28 14:33:42 2022 Wed Dec 28 14:33:42 2022 Wed Dec 28 14:33:42 2022 Msieve v. 1.52 (SVN 927) Wed Dec 28 14:33:42 2022 random seeds: 4f30a154 2952cfcb Wed Dec 28 14:33:42 2022 factoring 16053619308078919325029457192444136338056446717786444794263802682655027336324696971011685717952352285382982113327519389 (119 digits) Wed Dec 28 14:33:43 2022 searching for 15-digit factors Wed Dec 28 14:33:43 2022 commencing number field sieve (119-digit input) Wed Dec 28 14:33:43 2022 R0: -71124781499039007948630 Wed Dec 28 14:33:43 2022 R1: 313882726487 Wed Dec 28 14:33:43 2022 A0: -657874308574398083891933873 Wed Dec 28 14:33:43 2022 A1: 50689554823213924333470 Wed Dec 28 14:33:43 2022 A2: 3199288895287719460 Wed Dec 28 14:33:43 2022 A3: -64987554455470 Wed Dec 28 14:33:43 2022 A4: -1616287167 Wed Dec 28 14:33:43 2022 A5: 8820 Wed Dec 28 14:33:43 2022 skew 47182.44, size 1.904e-011, alpha -4.146, combined = 3.174e-010 rroots = 5 Wed Dec 28 14:33:43 2022 Wed Dec 28 14:33:43 2022 commencing relation filtering Wed Dec 28 14:33:43 2022 estimated available RAM is 65413.5 MB Wed Dec 28 14:33:43 2022 commencing duplicate removal, pass 1 Wed Dec 28 14:34:03 2022 found 1028453 hash collisions in 10438816 relations Wed Dec 28 14:34:13 2022 added 166 free relations Wed Dec 28 14:34:13 2022 commencing duplicate removal, pass 2 Wed Dec 28 14:34:16 2022 found 766466 duplicates and 9672516 unique relations Wed Dec 28 14:34:16 2022 memory use: 49.3 MB Wed Dec 28 14:34:16 2022 reading ideals above 100000 Wed Dec 28 14:34:16 2022 commencing singleton removal, initial pass Wed Dec 28 14:34:51 2022 memory use: 344.5 MB Wed Dec 28 14:34:51 2022 reading all ideals from disk Wed Dec 28 14:34:51 2022 memory use: 341.7 MB Wed Dec 28 14:34:51 2022 keeping 10605320 ideals with weight <= 200, target excess is 51772 Wed Dec 28 14:34:52 2022 commencing in-memory singleton removal Wed Dec 28 14:34:52 2022 begin with 9672516 relations and 10605320 unique ideals Wed Dec 28 14:34:56 2022 reduce to 3512268 relations and 3339700 ideals in 19 passes Wed Dec 28 14:34:56 2022 max relations containing the same ideal: 101 Wed Dec 28 14:34:57 2022 removing 525919 relations and 469663 ideals in 56256 cliques Wed Dec 28 14:34:57 2022 commencing in-memory singleton removal Wed Dec 28 14:34:57 2022 begin with 2986349 relations and 3339700 unique ideals Wed Dec 28 14:34:58 2022 reduce to 2918695 relations and 2800855 ideals in 11 passes Wed Dec 28 14:34:58 2022 max relations containing the same ideal: 92 Wed Dec 28 14:34:59 2022 removing 390811 relations and 334555 ideals in 56256 cliques Wed Dec 28 14:34:59 2022 commencing in-memory singleton removal Wed Dec 28 14:34:59 2022 begin with 2527884 relations and 2800855 unique ideals Wed Dec 28 14:34:59 2022 reduce to 2482059 relations and 2419538 ideals in 11 passes Wed Dec 28 14:34:59 2022 max relations containing the same ideal: 83 Wed Dec 28 14:35:00 2022 relations with 0 large ideals: 160 Wed Dec 28 14:35:00 2022 relations with 1 large ideals: 530 Wed Dec 28 14:35:00 2022 relations with 2 large ideals: 7766 Wed Dec 28 14:35:00 2022 relations with 3 large ideals: 60491 Wed Dec 28 14:35:00 2022 relations with 4 large ideals: 248722 Wed Dec 28 14:35:00 2022 relations with 5 large ideals: 568348 Wed Dec 28 14:35:00 2022 relations with 6 large ideals: 742237 Wed Dec 28 14:35:00 2022 relations with 7+ large ideals: 853805 Wed Dec 28 14:35:00 2022 commencing 2-way merge Wed Dec 28 14:35:01 2022 reduce to 1385129 relation sets and 1322608 unique ideals Wed Dec 28 14:35:01 2022 commencing full merge Wed Dec 28 14:35:16 2022 memory use: 151.0 MB Wed Dec 28 14:35:16 2022 found 689823 cycles, need 680808 Wed Dec 28 14:35:16 2022 weight of 680808 cycles is about 47760765 (70.15/cycle) Wed Dec 28 14:35:16 2022 distribution of cycle lengths: Wed Dec 28 14:35:16 2022 1 relations: 82837 Wed Dec 28 14:35:16 2022 2 relations: 79620 Wed Dec 28 14:35:16 2022 3 relations: 78546 Wed Dec 28 14:35:16 2022 4 relations: 69375 Wed Dec 28 14:35:16 2022 5 relations: 62571 Wed Dec 28 14:35:16 2022 6 relations: 52721 Wed Dec 28 14:35:16 2022 7 relations: 47067 Wed Dec 28 14:35:16 2022 8 relations: 39975 Wed Dec 28 14:35:16 2022 9 relations: 33552 Wed Dec 28 14:35:16 2022 10+ relations: 134544 Wed Dec 28 14:35:16 2022 heaviest cycle: 22 relations Wed Dec 28 14:35:16 2022 commencing cycle optimization Wed Dec 28 14:35:17 2022 start with 4071042 relations Wed Dec 28 14:35:21 2022 pruned 75391 relations Wed Dec 28 14:35:21 2022 memory use: 140.2 MB Wed Dec 28 14:35:21 2022 distribution of cycle lengths: Wed Dec 28 14:35:21 2022 1 relations: 82837 Wed Dec 28 14:35:21 2022 2 relations: 81206 Wed Dec 28 14:35:21 2022 3 relations: 80859 Wed Dec 28 14:35:21 2022 4 relations: 70464 Wed Dec 28 14:35:21 2022 5 relations: 63505 Wed Dec 28 14:35:21 2022 6 relations: 53251 Wed Dec 28 14:35:21 2022 7 relations: 47288 Wed Dec 28 14:35:21 2022 8 relations: 39736 Wed Dec 28 14:35:21 2022 9 relations: 33422 Wed Dec 28 14:35:21 2022 10+ relations: 128240 Wed Dec 28 14:35:21 2022 heaviest cycle: 22 relations Wed Dec 28 14:35:22 2022 RelProcTime: 99 Wed Dec 28 14:35:22 2022 elapsed time 00:01:40 Wed Dec 28 14:35:22 2022 Wed Dec 28 14:35:22 2022 Wed Dec 28 14:35:22 2022 Msieve v. 1.52 (SVN 927) Wed Dec 28 14:35:22 2022 random seeds: 4bd895a4 5a0a1309 Wed Dec 28 14:35:22 2022 factoring 16053619308078919325029457192444136338056446717786444794263802682655027336324696971011685717952352285382982113327519389 (119 digits) Wed Dec 28 14:35:22 2022 searching for 15-digit factors Wed Dec 28 14:35:22 2022 commencing number field sieve (119-digit input) Wed Dec 28 14:35:22 2022 R0: -71124781499039007948630 Wed Dec 28 14:35:22 2022 R1: 313882726487 Wed Dec 28 14:35:22 2022 A0: -657874308574398083891933873 Wed Dec 28 14:35:22 2022 A1: 50689554823213924333470 Wed Dec 28 14:35:22 2022 A2: 3199288895287719460 Wed Dec 28 14:35:22 2022 A3: -64987554455470 Wed Dec 28 14:35:22 2022 A4: -1616287167 Wed Dec 28 14:35:22 2022 A5: 8820 Wed Dec 28 14:35:22 2022 skew 47182.44, size 1.904e-011, alpha -4.146, combined = 3.174e-010 rroots = 5 Wed Dec 28 14:35:22 2022 Wed Dec 28 14:35:22 2022 commencing linear algebra Wed Dec 28 14:35:22 2022 read 680808 cycles Wed Dec 28 14:35:23 2022 cycles contain 2391735 unique relations Wed Dec 28 14:35:28 2022 read 2391735 relations Wed Dec 28 14:35:30 2022 using 20 quadratic characters above 134217222 Wed Dec 28 14:35:36 2022 building initial matrix Wed Dec 28 14:35:47 2022 memory use: 303.2 MB Wed Dec 28 14:35:48 2022 read 680808 cycles Wed Dec 28 14:35:48 2022 matrix is 680627 x 680808 (204.6 MB) with weight 63773161 (93.67/col) Wed Dec 28 14:35:48 2022 sparse part has weight 46134984 (67.77/col) Wed Dec 28 14:35:51 2022 filtering completed in 2 passes Wed Dec 28 14:35:51 2022 matrix is 678990 x 679171 (204.4 MB) with weight 63708385 (93.80/col) Wed Dec 28 14:35:51 2022 sparse part has weight 46114798 (67.90/col) Wed Dec 28 14:35:52 2022 matrix starts at (0, 0) Wed Dec 28 14:35:52 2022 matrix is 678990 x 679171 (204.4 MB) with weight 63708385 (93.80/col) Wed Dec 28 14:35:52 2022 sparse part has weight 46114798 (67.90/col) Wed Dec 28 14:35:52 2022 saving the first 48 matrix rows for later Wed Dec 28 14:35:52 2022 matrix includes 64 packed rows Wed Dec 28 14:35:52 2022 matrix is 678942 x 679171 (196.3 MB) with weight 50400043 (74.21/col) Wed Dec 28 14:35:52 2022 sparse part has weight 44675078 (65.78/col) Wed Dec 28 14:35:52 2022 using block size 8192 and superblock size 12582912 for processor cache size 131072 kB Wed Dec 28 14:35:54 2022 commencing Lanczos iteration (32 threads) Wed Dec 28 14:35:54 2022 memory use: 153.7 MB Wed Dec 28 14:35:56 2022 linear algebra at 0.4%, ETA 0h 7m Wed Dec 28 14:42:11 2022 lanczos halted after 10739 iterations (dim = 678942) Wed Dec 28 14:42:11 2022 recovered 34 nontrivial dependencies Wed Dec 28 14:42:11 2022 BLanczosTime: 409 Wed Dec 28 14:42:11 2022 elapsed time 00:06:49 Wed Dec 28 14:42:11 2022 Wed Dec 28 14:42:11 2022 Wed Dec 28 14:42:11 2022 Msieve v. 1.52 (SVN 927) Wed Dec 28 14:42:11 2022 random seeds: e40966e4 0cf1c46c Wed Dec 28 14:42:11 2022 factoring 16053619308078919325029457192444136338056446717786444794263802682655027336324696971011685717952352285382982113327519389 (119 digits) Wed Dec 28 14:42:11 2022 searching for 15-digit factors Wed Dec 28 14:42:11 2022 commencing number field sieve (119-digit input) Wed Dec 28 14:42:11 2022 R0: -71124781499039007948630 Wed Dec 28 14:42:11 2022 R1: 313882726487 Wed Dec 28 14:42:11 2022 A0: -657874308574398083891933873 Wed Dec 28 14:42:11 2022 A1: 50689554823213924333470 Wed Dec 28 14:42:11 2022 A2: 3199288895287719460 Wed Dec 28 14:42:11 2022 A3: -64987554455470 Wed Dec 28 14:42:11 2022 A4: -1616287167 Wed Dec 28 14:42:11 2022 A5: 8820 Wed Dec 28 14:42:11 2022 skew 47182.44, size 1.904e-011, alpha -4.146, combined = 3.174e-010 rroots = 5 Wed Dec 28 14:42:11 2022 Wed Dec 28 14:42:11 2022 commencing square root phase Wed Dec 28 14:42:11 2022 reading relations for dependency 1 Wed Dec 28 14:42:12 2022 read 339747 cycles Wed Dec 28 14:42:12 2022 cycles contain 1196046 unique relations Wed Dec 28 14:42:15 2022 read 1196046 relations Wed Dec 28 14:42:17 2022 multiplying 1196046 relations Wed Dec 28 14:42:43 2022 multiply complete, coefficients have about 51.99 million bits Wed Dec 28 14:42:43 2022 initial square root is modulo 29169251 Wed Dec 28 14:43:19 2022 sqrtTime: 68 Wed Dec 28 14:43:19 2022 prp54 factor: 231350003940930419872980148539252143542062636293434561 Wed Dec 28 14:43:19 2022 prp65 factor: 69391048344990819258173864753279560508995153808253841725045961949 Wed Dec 28 14:43:19 2022 elapsed time 00:01:08
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
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	December 24, 2022 10:57:01 UTC 2022 年 12 月 24 日 (土) 19 時 57 分 1 秒 (日本時間)

74×10¹⁸⁷+259

c152

name 名前	Bob Backstrom
date 日付	April 2, 2023 05:56:43 UTC 2023 年 4 月 2 日 (日) 14 時 56 分 43 秒 (日本時間)
composite number 合成数	13778184278866444023066837455248930481583920486160330487602523923085630154346055445169920607466846244872903154502077529381076746968895583552343118607909<152>
prime factors 素因数	4140063154958796338494204450529573091315896709911859118057735054663099<70> 3328013067231475686746113800759269963850040243690999921683844058997165070538444191<82>
factorization results 素因数分解の結果	Number: n N=13778184278866444023066837455248930481583920486160330487602523923085630154346055445169920607466846244872903154502077529381076746968895583552343118607909 ( 152 digits) SNFS difficulty: 187 digits. Divisors found: Sun Apr 2 15:46:37 2023 prp70 factor: 4140063154958796338494204450529573091315896709911859118057735054663099 Sun Apr 2 15:46:37 2023 prp82 factor: 3328013067231475686746113800759269963850040243690999921683844058997165070538444191 Sun Apr 2 15:46:37 2023 elapsed time 00:41:53 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.097). Factorization parameters were as follows: # # N = 74x10^187+25 = 82(186)5 # n: 13778184278866444023066837455248930481583920486160330487602523923085630154346055445169920607466846244872903154502077529381076746968895583552343118607909 m: 10000000000000000000000000000000000000 deg: 5 c5: 296 c0: 1 skew: 0.32 # Murphy_E = 6.61e-11 type: snfs lss: 1 rlim: 9300000 alim: 9300000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 9300000/9300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 54/54 Sieved special-q in [100000, 23050000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1749040 hash collisions in 16572798 relations (15909743 unique) Msieve: matrix is 1096345 x 1096571 (310.2 MB) Sieving start time: 2023/04/02 06:24:32 Sieving end time : 2023/04/02 15:04:02 Total sieving time: 8hrs 39min 30secs. Total relation processing time: 0hrs 35min 6sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 30sec. Prototype def-par.txt line would be: snfs,187,5,0,0,0,0,0,0,0,0,9300000,9300000,27,27,54,54,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	February 9, 2023 17:07:34 UTC 2023 年 2 月 10 日 (金) 2 時 7 分 34 秒 (日本時間)

74×10¹⁹⁰+259

c103

name 名前	Ignacio Santos
date 日付	December 24, 2022 17:51:03 UTC 2022 年 12 月 25 日 (日) 2 時 51 分 3 秒 (日本時間)
composite number 合成数	2936751618385985361874446680427699450991568744699858818328171211108269062630155949292067900447137079283<103>
prime factors 素因数	71654048083243841974877425574865686614787<41> 40985145947012293699639513890633514637967300096578072529302609<62>
factorization results 素因数分解の結果	12/24/22 18:43:22, starting SIQS on c103: 2936751618385985361874446680427699450991568744699858818328171211108269062630155949292067900447137079283 12/24/22 18:43:22, random seed: 11879510351509498649 12/24/22 18:43:23, ==== sieve params ==== 12/24/22 18:43:23, n = 103 digits, 342 bits 12/24/22 18:43:23, factor base: 141856 primes (max prime = 4006259) 12/24/22 18:43:23, single large prime cutoff: 600938850 (150 * pmax) 12/24/22 18:43:23, double large prime range from 16050111175081 to 17411493332684344 12/24/22 18:43:23, DLP MFB = 1.85 12/24/22 18:43:23, allocating 10 large prime slices of factor base 12/24/22 18:43:23, buckets hold 2048 elements 12/24/22 18:43:23, large prime hashtables have 2129920 bytes 12/24/22 18:43:23, using AVX2 enabled 32k sieve core 12/24/22 18:43:23, sieve interval: 13 blocks of size 32768 12/24/22 18:43:23, polynomial A has ~ 13 factors 12/24/22 18:43:23, using multiplier of 3 12/24/22 18:43:23, using multiplier of 3 12/24/22 18:43:23, using Q2(x) polynomials for kN mod 8 = 1 12/24/22 18:43:23, using SPV correction of 19 bits, starting at offset 28 12/24/22 18:43:23, trial factoring cutoff at 101 bits 12/24/22 18:43:23, ==== sieving started (46 threads) ==== 12/24/22 18:49:58, trial division touched 494715630 sieve locations out of 5399847305216 12/24/22 18:49:58, total reports = 494715630, total surviving reports = 115439541 12/24/22 18:49:58, total blocks sieved = 164791406, avg surviving reports per block = 0.70 12/24/22 18:49:58, dlp-ecm: 6 failures, 2553597 attempts, 101588476 outside range, 10763657 prp, 2038274 useful 12/24/22 18:49:58, 143213 relations found: 34297 full + 108916 from 2537788 partial, using 6338087 polys (3120 A polys) 12/24/22 18:49:58, on average, sieving found 0.41 rels/poly and 6497.32 rels/sec 12/24/22 18:49:58, trial division touched 494715630 sieve locations out of 5399847305216 12/24/22 18:49:58, ==== post processing stage (msieve-1.38) ==== 12/24/22 18:49:58, QS elapsed time = 395.8714 seconds. 12/24/22 18:49:59, begin singleton removal with 2572085 relations 12/24/22 18:50:00, reduce to 388845 relations in 13 passes 12/24/22 18:50:02, failed to read relation 320887 12/24/22 18:50:03, recovered 388844 relations 12/24/22 18:50:03, recovered 377154 polynomials 12/24/22 18:50:04, attempting to build 143212 cycles 12/24/22 18:50:04, found 143212 cycles from 388844 relations in 7 passes 12/24/22 18:50:04, distribution of cycle lengths: 12/24/22 18:50:04, length 1 : 34297 12/24/22 18:50:04, length 2 : 23172 12/24/22 18:50:04, length 3 : 22830 12/24/22 18:50:04, length 4 : 19192 12/24/22 18:50:04, length 5 : 14977 12/24/22 18:50:04, length 6 : 10674 12/24/22 18:50:04, length 7 : 7193 12/24/22 18:50:04, length 9+: 10877 12/24/22 18:50:04, largest cycle: 23 relations 12/24/22 18:50:04, matrix is 141856 x 143212 (46.0 MB) with weight 10909326 (76.18/col) 12/24/22 18:50:04, sparse part has weight 10909326 (76.18/col) 12/24/22 18:50:04, filtering completed in 4 passes 12/24/22 18:50:04, matrix is 135715 x 135779 (43.4 MB) with weight 10282750 (75.73/col) 12/24/22 18:50:04, sparse part has weight 10282750 (75.73/col) 12/24/22 18:50:05, saving the first 48 matrix rows for later 12/24/22 18:50:05, matrix is 135667 x 135779 (37.9 MB) with weight 9253355 (68.15/col) 12/24/22 18:50:05, sparse part has weight 8582526 (63.21/col) 12/24/22 18:50:05, matrix includes 64 packed rows 12/24/22 18:50:05, using block size 54311 for processor cache size 131072 kB 12/24/22 18:50:06, commencing Lanczos iteration 12/24/22 18:50:06, memory use: 29.1 MB 12/24/22 18:50:45, lanczos halted after 2146 iterations (dim = 135665) 12/24/22 18:50:45, recovered 15 nontrivial dependencies 12/24/22 18:50:45, prp62 = 40985145947012293699639513890633514637967300096578072529302609 12/24/22 18:50:45, prp41 = 71654048083243841974877425574865686614787 12/24/22 18:50:45, Lanczos elapsed time = 46.4610 seconds. 12/24/22 18:50:45, Sqrt elapsed time = 0.5330 seconds. 12/24/22 18:50:45, SIQS elapsed time = 442.8675 seconds. 12/24/22 18:50:45, 12/24/22 18:50:45,
software ソフトウェア	Yafu

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

74×10¹⁹¹+259

c188

name 名前	Bob Backstrom
date 日付	January 19, 2023 07:24:30 UTC 2023 年 1 月 19 日 (木) 16 時 24 分 30 秒 (日本時間)
composite number 合成数	12703317454186515600188833097291961718381185356851637268786747349899145959400884082228230548045148276897987210849319771683618728809922320930432170293120466932749667396249088021973305866701<188>
prime factors 素因数	141567380812426143689140893531774822713557813369<48> 89733364997535335576536519745024082962922333521803919132492958752152248195993582669474558024259188346984990819684531545295072950981358391029<140>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 12703317454186515600188833097291961718381185356851637268786747349899145959400884082228230548045148276897987210849319771683618728809922320930432170293120466932749667396249088021973305866701 (188 digits) Using B1=31880000, B2=144291357226, polynomial Dickson(12), sigma=1:154468652 Step 1 took 87768ms Step 2 took 28505ms ********** Factor found in step 2: 141567380812426143689140893531774822713557813369 Found prime factor of 48 digits: 141567380812426143689140893531774822713557813369 Prime cofactor 89733364997535335576536519745024082962922333521803919132492958752152248195993582669474558024259188346984990819684531545295072950981358391029 has 140 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	January 8, 2023 21:21:44 UTC 2023 年 1 月 9 日 (月) 6 時 21 分 44 秒 (日本時間)

74×10¹⁹²+259

c110

name 名前	Ignacio Santos
date 日付	December 25, 2022 09:57:18 UTC 2022 年 12 月 25 日 (日) 18 時 57 分 18 秒 (日本時間)
composite number 合成数	12692628418507885478519807450068896330923185506139189991812702793169626789266532320379818916989451238175347941<110>
prime factors 素因数	220946245385548431084325007105782421727455752445244947<54> 57446680736119357220607539556321763374068548106074507303<56>
factorization results 素因数分解の結果	-> makeJobFile(): Adjusted to q0=1600000, q1=1700000. -> client 1 q0: 1600000 LatSieveTime: 91 LatSieveTime: 95 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 122 LatSieveTime: 124 LatSieveTime: 129 -> makeJobFile(): Adjusted to q0=1700001, q1=1800000. -> client 1 q0: 1700001 LatSieveTime: 89 LatSieveTime: 95 LatSieveTime: 97 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 125 LatSieveTime: 129 LatSieveTime: 132 -> makeJobFile(): Adjusted to q0=1800001, q1=1900000. -> client 1 q0: 1800001 LatSieveTime: 93 LatSieveTime: 101 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 100 LatSieveTime: 102 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 132 LatSieveTime: 133 -> makeJobFile(): Adjusted to q0=1900001, q1=2000000. -> client 1 q0: 1900001 LatSieveTime: 91 LatSieveTime: 98 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 128 -> makeJobFile(): Adjusted to q0=2000001, q1=2100000. -> client 1 q0: 2000001 LatSieveTime: 93 LatSieveTime: 94 LatSieveTime: 94 LatSieveTime: 95 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 108 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 129 Sun Dec 25 10:41:50 2022 Sun Dec 25 10:41:50 2022 Sun Dec 25 10:41:50 2022 Msieve v. 1.52 (SVN 927) Sun Dec 25 10:41:50 2022 random seeds: 52d99028 ca77d488 Sun Dec 25 10:41:50 2022 factoring 12692628418507885478519807450068896330923185506139189991812702793169626789266532320379818916989451238175347941 (110 digits) Sun Dec 25 10:41:50 2022 searching for 15-digit factors Sun Dec 25 10:41:51 2022 commencing number field sieve (110-digit input) Sun Dec 25 10:41:51 2022 R0: -1841088658547400855109 Sun Dec 25 10:41:51 2022 R1: 214455657659 Sun Dec 25 10:41:51 2022 A0: 3097436749805417587483529600 Sun Dec 25 10:41:51 2022 A1: 51308137244737500479040 Sun Dec 25 10:41:51 2022 A2: -2331106394747410302 Sun Dec 25 10:41:51 2022 A3: -32146998176843 Sun Dec 25 10:41:51 2022 A4: 317903514 Sun Dec 25 10:41:51 2022 A5: 600 Sun Dec 25 10:41:51 2022 skew 98330.44, size 1.478e-010, alpha -5.747, combined = 9.399e-010 rroots = 3 Sun Dec 25 10:41:51 2022 Sun Dec 25 10:41:51 2022 commencing relation filtering Sun Dec 25 10:41:51 2022 estimated available RAM is 65413.5 MB Sun Dec 25 10:41:51 2022 commencing duplicate removal, pass 1 Sun Dec 25 10:42:01 2022 found 362349 hash collisions in 5287023 relations Sun Dec 25 10:42:08 2022 added 53876 free relations Sun Dec 25 10:42:08 2022 commencing duplicate removal, pass 2 Sun Dec 25 10:42:09 2022 found 193960 duplicates and 5146939 unique relations Sun Dec 25 10:42:09 2022 memory use: 16.3 MB Sun Dec 25 10:42:09 2022 reading ideals above 100000 Sun Dec 25 10:42:09 2022 commencing singleton removal, initial pass Sun Dec 25 10:42:28 2022 memory use: 172.3 MB Sun Dec 25 10:42:28 2022 reading all ideals from disk Sun Dec 25 10:42:28 2022 memory use: 172.9 MB Sun Dec 25 10:42:28 2022 keeping 6693894 ideals with weight <= 200, target excess is 27916 Sun Dec 25 10:42:28 2022 commencing in-memory singleton removal Sun Dec 25 10:42:28 2022 begin with 5146939 relations and 6693894 unique ideals Sun Dec 25 10:42:29 2022 reduce to 73 relations and 0 ideals in 12 passes Sun Dec 25 10:42:29 2022 max relations containing the same ideal: 0 Sun Dec 25 10:42:29 2022 filtering wants 1000000 more relations Sun Dec 25 10:42:29 2022 elapsed time 00:00:39 -> makeJobFile(): Adjusted to q0=2100001, q1=2200000. -> client 1 q0: 2100001 LatSieveTime: 91 LatSieveTime: 94 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 Sun Dec 25 10:44:39 2022 Sun Dec 25 10:44:39 2022 Sun Dec 25 10:44:39 2022 Msieve v. 1.52 (SVN 927) Sun Dec 25 10:44:39 2022 random seeds: 6e9f37f0 b61078e8 Sun Dec 25 10:44:39 2022 factoring 12692628418507885478519807450068896330923185506139189991812702793169626789266532320379818916989451238175347941 (110 digits) Sun Dec 25 10:44:40 2022 searching for 15-digit factors Sun Dec 25 10:44:40 2022 commencing number field sieve (110-digit input) Sun Dec 25 10:44:40 2022 R0: -1841088658547400855109 Sun Dec 25 10:44:40 2022 R1: 214455657659 Sun Dec 25 10:44:40 2022 A0: 3097436749805417587483529600 Sun Dec 25 10:44:40 2022 A1: 51308137244737500479040 Sun Dec 25 10:44:40 2022 A2: -2331106394747410302 Sun Dec 25 10:44:40 2022 A3: -32146998176843 Sun Dec 25 10:44:40 2022 A4: 317903514 Sun Dec 25 10:44:40 2022 A5: 600 Sun Dec 25 10:44:40 2022 skew 98330.44, size 1.478e-010, alpha -5.747, combined = 9.399e-010 rroots = 3 Sun Dec 25 10:44:40 2022 Sun Dec 25 10:44:40 2022 commencing relation filtering Sun Dec 25 10:44:40 2022 estimated available RAM is 65413.5 MB Sun Dec 25 10:44:40 2022 commencing duplicate removal, pass 1 Sun Dec 25 10:44:53 2022 found 509238 hash collisions in 6393058 relations Sun Dec 25 10:45:00 2022 added 2165 free relations Sun Dec 25 10:45:00 2022 commencing duplicate removal, pass 2 Sun Dec 25 10:45:02 2022 found 271892 duplicates and 6123331 unique relations Sun Dec 25 10:45:02 2022 memory use: 24.6 MB Sun Dec 25 10:45:02 2022 reading ideals above 100000 Sun Dec 25 10:45:02 2022 commencing singleton removal, initial pass Sun Dec 25 10:45:23 2022 memory use: 188.3 MB Sun Dec 25 10:45:23 2022 reading all ideals from disk Sun Dec 25 10:45:23 2022 memory use: 205.9 MB Sun Dec 25 10:45:24 2022 keeping 7317256 ideals with weight <= 200, target excess is 33514 Sun Dec 25 10:45:24 2022 commencing in-memory singleton removal Sun Dec 25 10:45:24 2022 begin with 6123331 relations and 7317256 unique ideals Sun Dec 25 10:45:26 2022 reduce to 1198444 relations and 1295091 ideals in 29 passes Sun Dec 25 10:45:26 2022 max relations containing the same ideal: 65 Sun Dec 25 10:45:26 2022 filtering wants 1000000 more relations Sun Dec 25 10:45:26 2022 elapsed time 00:00:47 -> makeJobFile(): Adjusted to q0=2200001, q1=2300000. -> client 1 q0: 2200001 LatSieveTime: 90 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 131 LatSieveTime: 134 LatSieveTime: 135 Sun Dec 25 10:47:46 2022 Sun Dec 25 10:47:46 2022 Sun Dec 25 10:47:46 2022 Msieve v. 1.52 (SVN 927) Sun Dec 25 10:47:46 2022 random seeds: 0fcc7950 7195960c Sun Dec 25 10:47:46 2022 factoring 12692628418507885478519807450068896330923185506139189991812702793169626789266532320379818916989451238175347941 (110 digits) Sun Dec 25 10:47:47 2022 searching for 15-digit factors Sun Dec 25 10:47:47 2022 commencing number field sieve (110-digit input) Sun Dec 25 10:47:47 2022 R0: -1841088658547400855109 Sun Dec 25 10:47:47 2022 R1: 214455657659 Sun Dec 25 10:47:47 2022 A0: 3097436749805417587483529600 Sun Dec 25 10:47:47 2022 A1: 51308137244737500479040 Sun Dec 25 10:47:47 2022 A2: -2331106394747410302 Sun Dec 25 10:47:47 2022 A3: -32146998176843 Sun Dec 25 10:47:47 2022 A4: 317903514 Sun Dec 25 10:47:47 2022 A5: 600 Sun Dec 25 10:47:47 2022 skew 98330.44, size 1.478e-010, alpha -5.747, combined = 9.399e-010 rroots = 3 Sun Dec 25 10:47:47 2022 Sun Dec 25 10:47:47 2022 commencing relation filtering Sun Dec 25 10:47:47 2022 estimated available RAM is 65413.5 MB Sun Dec 25 10:47:47 2022 commencing duplicate removal, pass 1 Sun Dec 25 10:48:02 2022 found 671470 hash collisions in 7449193 relations Sun Dec 25 10:48:10 2022 added 1620 free relations Sun Dec 25 10:48:10 2022 commencing duplicate removal, pass 2 Sun Dec 25 10:48:12 2022 found 360815 duplicates and 7089998 unique relations Sun Dec 25 10:48:12 2022 memory use: 24.6 MB Sun Dec 25 10:48:12 2022 reading ideals above 100000 Sun Dec 25 10:48:12 2022 commencing singleton removal, initial pass Sun Dec 25 10:48:37 2022 memory use: 188.3 MB Sun Dec 25 10:48:37 2022 reading all ideals from disk Sun Dec 25 10:48:37 2022 memory use: 238.6 MB Sun Dec 25 10:48:37 2022 keeping 7861199 ideals with weight <= 200, target excess is 39961 Sun Dec 25 10:48:38 2022 commencing in-memory singleton removal Sun Dec 25 10:48:38 2022 begin with 7089998 relations and 7861199 unique ideals Sun Dec 25 10:48:40 2022 reduce to 2277746 relations and 2117406 ideals in 16 passes Sun Dec 25 10:48:40 2022 max relations containing the same ideal: 95 Sun Dec 25 10:48:40 2022 removing 411379 relations and 354387 ideals in 56993 cliques Sun Dec 25 10:48:41 2022 commencing in-memory singleton removal Sun Dec 25 10:48:41 2022 begin with 1866367 relations and 2117406 unique ideals Sun Dec 25 10:48:41 2022 reduce to 1806080 relations and 1700779 ideals in 9 passes Sun Dec 25 10:48:41 2022 max relations containing the same ideal: 85 Sun Dec 25 10:48:41 2022 removing 315973 relations and 258980 ideals in 56993 cliques Sun Dec 25 10:48:41 2022 commencing in-memory singleton removal Sun Dec 25 10:48:41 2022 begin with 1490107 relations and 1700779 unique ideals Sun Dec 25 10:48:41 2022 reduce to 1444129 relations and 1394318 ideals in 9 passes Sun Dec 25 10:48:41 2022 max relations containing the same ideal: 73 Sun Dec 25 10:48:42 2022 relations with 0 large ideals: 112 Sun Dec 25 10:48:42 2022 relations with 1 large ideals: 711 Sun Dec 25 10:48:42 2022 relations with 2 large ideals: 8010 Sun Dec 25 10:48:42 2022 relations with 3 large ideals: 51581 Sun Dec 25 10:48:42 2022 relations with 4 large ideals: 183120 Sun Dec 25 10:48:42 2022 relations with 5 large ideals: 366210 Sun Dec 25 10:48:42 2022 relations with 6 large ideals: 423581 Sun Dec 25 10:48:42 2022 relations with 7+ large ideals: 410804 Sun Dec 25 10:48:42 2022 commencing 2-way merge Sun Dec 25 10:48:42 2022 reduce to 812038 relation sets and 762227 unique ideals Sun Dec 25 10:48:42 2022 commencing full merge Sun Dec 25 10:48:50 2022 memory use: 86.0 MB Sun Dec 25 10:48:51 2022 found 397054 cycles, need 388427 Sun Dec 25 10:48:51 2022 weight of 388427 cycles is about 27479712 (70.75/cycle) Sun Dec 25 10:48:51 2022 distribution of cycle lengths: Sun Dec 25 10:48:51 2022 1 relations: 39973 Sun Dec 25 10:48:51 2022 2 relations: 40222 Sun Dec 25 10:48:51 2022 3 relations: 41883 Sun Dec 25 10:48:51 2022 4 relations: 39065 Sun Dec 25 10:48:51 2022 5 relations: 36042 Sun Dec 25 10:48:51 2022 6 relations: 32217 Sun Dec 25 10:48:51 2022 7 relations: 28178 Sun Dec 25 10:48:51 2022 8 relations: 24891 Sun Dec 25 10:48:51 2022 9 relations: 21634 Sun Dec 25 10:48:51 2022 10+ relations: 84322 Sun Dec 25 10:48:51 2022 heaviest cycle: 21 relations Sun Dec 25 10:48:51 2022 commencing cycle optimization Sun Dec 25 10:48:51 2022 start with 2441983 relations Sun Dec 25 10:48:54 2022 pruned 52536 relations Sun Dec 25 10:48:54 2022 memory use: 81.9 MB Sun Dec 25 10:48:54 2022 distribution of cycle lengths: Sun Dec 25 10:48:54 2022 1 relations: 39973 Sun Dec 25 10:48:54 2022 2 relations: 41008 Sun Dec 25 10:48:54 2022 3 relations: 43315 Sun Dec 25 10:48:54 2022 4 relations: 39901 Sun Dec 25 10:48:54 2022 5 relations: 36841 Sun Dec 25 10:48:54 2022 6 relations: 32672 Sun Dec 25 10:48:54 2022 7 relations: 28556 Sun Dec 25 10:48:54 2022 8 relations: 24908 Sun Dec 25 10:48:54 2022 9 relations: 21604 Sun Dec 25 10:48:54 2022 10+ relations: 79649 Sun Dec 25 10:48:54 2022 heaviest cycle: 21 relations Sun Dec 25 10:48:54 2022 RelProcTime: 67 Sun Dec 25 10:48:54 2022 elapsed time 00:01:08 Sun Dec 25 10:48:54 2022 Sun Dec 25 10:48:54 2022 Sun Dec 25 10:48:54 2022 Msieve v. 1.52 (SVN 927) Sun Dec 25 10:48:54 2022 random seeds: a2a981f8 e52f0174 Sun Dec 25 10:48:54 2022 factoring 12692628418507885478519807450068896330923185506139189991812702793169626789266532320379818916989451238175347941 (110 digits) Sun Dec 25 10:48:54 2022 searching for 15-digit factors Sun Dec 25 10:48:55 2022 commencing number field sieve (110-digit input) Sun Dec 25 10:48:55 2022 R0: -1841088658547400855109 Sun Dec 25 10:48:55 2022 R1: 214455657659 Sun Dec 25 10:48:55 2022 A0: 3097436749805417587483529600 Sun Dec 25 10:48:55 2022 A1: 51308137244737500479040 Sun Dec 25 10:48:55 2022 A2: -2331106394747410302 Sun Dec 25 10:48:55 2022 A3: -32146998176843 Sun Dec 25 10:48:55 2022 A4: 317903514 Sun Dec 25 10:48:55 2022 A5: 600 Sun Dec 25 10:48:55 2022 skew 98330.44, size 1.478e-010, alpha -5.747, combined = 9.399e-010 rroots = 3 Sun Dec 25 10:48:55 2022 Sun Dec 25 10:48:55 2022 commencing linear algebra Sun Dec 25 10:48:55 2022 read 388427 cycles Sun Dec 25 10:48:55 2022 cycles contain 1373646 unique relations Sun Dec 25 10:48:58 2022 read 1373646 relations Sun Dec 25 10:48:59 2022 using 20 quadratic characters above 134216882 Sun Dec 25 10:49:02 2022 building initial matrix Sun Dec 25 10:49:09 2022 memory use: 171.2 MB Sun Dec 25 10:49:09 2022 read 388427 cycles Sun Dec 25 10:49:09 2022 matrix is 388246 x 388427 (117.1 MB) with weight 36949538 (95.13/col) Sun Dec 25 10:49:09 2022 sparse part has weight 26419139 (68.02/col) Sun Dec 25 10:49:11 2022 filtering completed in 2 passes Sun Dec 25 10:49:11 2022 matrix is 387247 x 387427 (117.0 MB) with weight 36905170 (95.26/col) Sun Dec 25 10:49:11 2022 sparse part has weight 26403013 (68.15/col) Sun Dec 25 10:49:11 2022 matrix starts at (0, 0) Sun Dec 25 10:49:12 2022 matrix is 387247 x 387427 (117.0 MB) with weight 36905170 (95.26/col) Sun Dec 25 10:49:12 2022 sparse part has weight 26403013 (68.15/col) Sun Dec 25 10:49:12 2022 saving the first 48 matrix rows for later Sun Dec 25 10:49:12 2022 matrix includes 64 packed rows Sun Dec 25 10:49:12 2022 matrix is 387199 x 387427 (112.4 MB) with weight 29260732 (75.53/col) Sun Dec 25 10:49:12 2022 sparse part has weight 25588603 (66.05/col) Sun Dec 25 10:49:12 2022 using block size 8192 and superblock size 12582912 for processor cache size 131072 kB Sun Dec 25 10:49:13 2022 commencing Lanczos iteration (32 threads) Sun Dec 25 10:49:13 2022 memory use: 87.5 MB Sun Dec 25 10:49:18 2022 linear algebra at 3.1%, ETA 0h 2m Sun Dec 25 10:52:03 2022 lanczos halted after 6125 iterations (dim = 387199) Sun Dec 25 10:52:03 2022 recovered 31 nontrivial dependencies Sun Dec 25 10:52:03 2022 BLanczosTime: 188 Sun Dec 25 10:52:03 2022 elapsed time 00:03:09 Sun Dec 25 10:52:03 2022 Sun Dec 25 10:52:03 2022 Sun Dec 25 10:52:03 2022 Msieve v. 1.52 (SVN 927) Sun Dec 25 10:52:03 2022 random seeds: c4540878 7bbabf20 Sun Dec 25 10:52:03 2022 factoring 12692628418507885478519807450068896330923185506139189991812702793169626789266532320379818916989451238175347941 (110 digits) Sun Dec 25 10:52:03 2022 searching for 15-digit factors Sun Dec 25 10:52:03 2022 commencing number field sieve (110-digit input) Sun Dec 25 10:52:03 2022 R0: -1841088658547400855109 Sun Dec 25 10:52:03 2022 R1: 214455657659 Sun Dec 25 10:52:03 2022 A0: 3097436749805417587483529600 Sun Dec 25 10:52:03 2022 A1: 51308137244737500479040 Sun Dec 25 10:52:03 2022 A2: -2331106394747410302 Sun Dec 25 10:52:03 2022 A3: -32146998176843 Sun Dec 25 10:52:03 2022 A4: 317903514 Sun Dec 25 10:52:03 2022 A5: 600 Sun Dec 25 10:52:03 2022 skew 98330.44, size 1.478e-010, alpha -5.747, combined = 9.399e-010 rroots = 3 Sun Dec 25 10:52:03 2022 Sun Dec 25 10:52:03 2022 commencing square root phase Sun Dec 25 10:52:03 2022 reading relations for dependency 1 Sun Dec 25 10:52:03 2022 read 193589 cycles Sun Dec 25 10:52:04 2022 cycles contain 686708 unique relations Sun Dec 25 10:52:05 2022 read 686708 relations Sun Dec 25 10:52:07 2022 multiplying 686708 relations Sun Dec 25 10:52:20 2022 multiply complete, coefficients have about 27.61 million bits Sun Dec 25 10:52:20 2022 initial square root is modulo 85050697 Sun Dec 25 10:52:36 2022 sqrtTime: 33 Sun Dec 25 10:52:36 2022 prp54 factor: 220946245385548431084325007105782421727455752445244947 Sun Dec 25 10:52:36 2022 prp56 factor: 57446680736119357220607539556321763374068548106074507303 Sun Dec 25 10:52:36 2022 elapsed time 00:00:33
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
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	December 24, 2022 16:18:15 UTC 2022 年 12 月 25 日 (日) 1 時 18 分 15 秒 (日本時間)

74×10¹⁹³+259

c112

name 名前	Ignacio Santos
date 日付	December 26, 2022 18:21:32 UTC 2022 年 12 月 27 日 (火) 3 時 21 分 32 秒 (日本時間)
composite number 合成数	2993702445089157633547540297032728215459335844856976769735701469574862217293234519767600378332714538355581960627<112>
prime factors 素因数	21923143732157990566591303208559419294282990604817<50> 136554432232173047791457391694863568762001211869893188282028931<63>
factorization results 素因数分解の結果	-> makeJobFile(): Adjusted to q0=1750000, q1=1850000. -> client 1 q0: 1750000 LatSieveTime: 88 LatSieveTime: 91 LatSieveTime: 93 LatSieveTime: 95 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 124 -> makeJobFile(): Adjusted to q0=1850001, q1=1950000. -> client 1 q0: 1850001 LatSieveTime: 92 LatSieveTime: 95 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 -> makeJobFile(): Adjusted to q0=1950001, q1=2050000. -> client 1 q0: 1950001 LatSieveTime: 90 LatSieveTime: 89 LatSieveTime: 91 LatSieveTime: 93 LatSieveTime: 94 LatSieveTime: 95 LatSieveTime: 98 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 122 LatSieveTime: 125 -> makeJobFile(): Adjusted to q0=2050001, q1=2150000. -> client 1 q0: 2050001 LatSieveTime: 94 LatSieveTime: 94 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 98 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 131 -> makeJobFile(): Adjusted to q0=2150001, q1=2250000. -> client 1 q0: 2150001 LatSieveTime: 86 LatSieveTime: 90 LatSieveTime: 93 LatSieveTime: 95 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 123 LatSieveTime: 124 -> makeJobFile(): Adjusted to q0=2250001, q1=2350000. -> client 1 q0: 2250001 LatSieveTime: 88 LatSieveTime: 90 LatSieveTime: 94 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 101 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 121 LatSieveTime: 123 -> makeJobFile(): Adjusted to q0=2350001, q1=2450000. -> client 1 q0: 2350001 LatSieveTime: 91 LatSieveTime: 92 LatSieveTime: 93 LatSieveTime: 96 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 126 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 129 -> makeJobFile(): Adjusted to q0=2450001, q1=2550000. -> client 1 q0: 2450001 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 120 LatSieveTime: 122 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 131 LatSieveTime: 132 LatSieveTime: 132 Mon Dec 26 19:10:32 2022 Mon Dec 26 19:10:32 2022 Mon Dec 26 19:10:32 2022 Msieve v. 1.52 (SVN 927) Mon Dec 26 19:10:32 2022 random seeds: df836f04 f82aaa6d Mon Dec 26 19:10:32 2022 factoring 2993702445089157633547540297032728215459335844856976769735701469574862217293234519767600378332714538355581960627 (112 digits) Mon Dec 26 19:10:33 2022 searching for 15-digit factors Mon Dec 26 19:10:33 2022 commencing number field sieve (112-digit input) Mon Dec 26 19:10:33 2022 R0: -2612522135690066964290 Mon Dec 26 19:10:33 2022 R1: 1299329991443 Mon Dec 26 19:10:33 2022 A0: -1676191882696940674460628981 Mon Dec 26 19:10:33 2022 A1: 248315692337939389130859 Mon Dec 26 19:10:33 2022 A2: 8153241509746641103 Mon Dec 26 19:10:33 2022 A3: -212882722003747 Mon Dec 26 19:10:33 2022 A4: -3003057434 Mon Dec 26 19:10:33 2022 A5: 24600 Mon Dec 26 19:10:33 2022 skew 52736.04, size 1.014e-010, alpha -6.867, combined = 7.741e-010 rroots = 5 Mon Dec 26 19:10:33 2022 Mon Dec 26 19:10:33 2022 commencing relation filtering Mon Dec 26 19:10:33 2022 estimated available RAM is 65413.5 MB Mon Dec 26 19:10:33 2022 commencing duplicate removal, pass 1 Mon Dec 26 19:10:48 2022 found 669095 hash collisions in 7329197 relations Mon Dec 26 19:10:56 2022 added 57413 free relations Mon Dec 26 19:10:56 2022 commencing duplicate removal, pass 2 Mon Dec 26 19:10:58 2022 found 371045 duplicates and 7015565 unique relations Mon Dec 26 19:10:58 2022 memory use: 24.6 MB Mon Dec 26 19:10:58 2022 reading ideals above 100000 Mon Dec 26 19:10:58 2022 commencing singleton removal, initial pass Mon Dec 26 19:11:24 2022 memory use: 188.3 MB Mon Dec 26 19:11:24 2022 reading all ideals from disk Mon Dec 26 19:11:24 2022 memory use: 237.6 MB Mon Dec 26 19:11:24 2022 keeping 7858411 ideals with weight <= 200, target excess is 37440 Mon Dec 26 19:11:24 2022 commencing in-memory singleton removal Mon Dec 26 19:11:24 2022 begin with 7015565 relations and 7858411 unique ideals Mon Dec 26 19:11:27 2022 reduce to 2174780 relations and 2074162 ideals in 19 passes Mon Dec 26 19:11:27 2022 max relations containing the same ideal: 90 Mon Dec 26 19:11:27 2022 removing 271710 relations and 243116 ideals in 28594 cliques Mon Dec 26 19:11:27 2022 commencing in-memory singleton removal Mon Dec 26 19:11:27 2022 begin with 1903070 relations and 2074162 unique ideals Mon Dec 26 19:11:27 2022 reduce to 1874154 relations and 1801606 ideals in 10 passes Mon Dec 26 19:11:27 2022 max relations containing the same ideal: 82 Mon Dec 26 19:11:28 2022 removing 204135 relations and 175541 ideals in 28594 cliques Mon Dec 26 19:11:28 2022 commencing in-memory singleton removal Mon Dec 26 19:11:28 2022 begin with 1670019 relations and 1801606 unique ideals Mon Dec 26 19:11:28 2022 reduce to 1650466 relations and 1606213 ideals in 8 passes Mon Dec 26 19:11:28 2022 max relations containing the same ideal: 72 Mon Dec 26 19:11:28 2022 relations with 0 large ideals: 104 Mon Dec 26 19:11:28 2022 relations with 1 large ideals: 360 Mon Dec 26 19:11:28 2022 relations with 2 large ideals: 5504 Mon Dec 26 19:11:28 2022 relations with 3 large ideals: 41901 Mon Dec 26 19:11:28 2022 relations with 4 large ideals: 169788 Mon Dec 26 19:11:28 2022 relations with 5 large ideals: 383327 Mon Dec 26 19:11:28 2022 relations with 6 large ideals: 496205 Mon Dec 26 19:11:28 2022 relations with 7+ large ideals: 553277 Mon Dec 26 19:11:28 2022 commencing 2-way merge Mon Dec 26 19:11:29 2022 reduce to 922688 relation sets and 878435 unique ideals Mon Dec 26 19:11:29 2022 commencing full merge Mon Dec 26 19:11:38 2022 memory use: 98.5 MB Mon Dec 26 19:11:39 2022 found 456310 cycles, need 450635 Mon Dec 26 19:11:39 2022 weight of 450635 cycles is about 31561966 (70.04/cycle) Mon Dec 26 19:11:39 2022 distribution of cycle lengths: Mon Dec 26 19:11:39 2022 1 relations: 50566 Mon Dec 26 19:11:39 2022 2 relations: 50714 Mon Dec 26 19:11:39 2022 3 relations: 51027 Mon Dec 26 19:11:39 2022 4 relations: 45648 Mon Dec 26 19:11:39 2022 5 relations: 41457 Mon Dec 26 19:11:39 2022 6 relations: 34905 Mon Dec 26 19:11:39 2022 7 relations: 31194 Mon Dec 26 19:11:39 2022 8 relations: 26716 Mon Dec 26 19:11:39 2022 9 relations: 22978 Mon Dec 26 19:11:39 2022 10+ relations: 95430 Mon Dec 26 19:11:39 2022 heaviest cycle: 22 relations Mon Dec 26 19:11:39 2022 commencing cycle optimization Mon Dec 26 19:11:39 2022 start with 2786137 relations Mon Dec 26 19:11:42 2022 pruned 54372 relations Mon Dec 26 19:11:42 2022 memory use: 94.5 MB Mon Dec 26 19:11:42 2022 distribution of cycle lengths: Mon Dec 26 19:11:42 2022 1 relations: 50566 Mon Dec 26 19:11:42 2022 2 relations: 51645 Mon Dec 26 19:11:42 2022 3 relations: 52620 Mon Dec 26 19:11:42 2022 4 relations: 46382 Mon Dec 26 19:11:42 2022 5 relations: 42159 Mon Dec 26 19:11:42 2022 6 relations: 35394 Mon Dec 26 19:11:42 2022 7 relations: 31337 Mon Dec 26 19:11:42 2022 8 relations: 26792 Mon Dec 26 19:11:42 2022 9 relations: 22852 Mon Dec 26 19:11:42 2022 10+ relations: 90888 Mon Dec 26 19:11:42 2022 heaviest cycle: 22 relations Mon Dec 26 19:11:43 2022 RelProcTime: 70 Mon Dec 26 19:11:43 2022 elapsed time 00:01:11 Mon Dec 26 19:11:43 2022 Mon Dec 26 19:11:43 2022 Mon Dec 26 19:11:43 2022 Msieve v. 1.52 (SVN 927) Mon Dec 26 19:11:43 2022 random seeds: 907d8840 62dd8efd Mon Dec 26 19:11:43 2022 factoring 2993702445089157633547540297032728215459335844856976769735701469574862217293234519767600378332714538355581960627 (112 digits) Mon Dec 26 19:11:43 2022 searching for 15-digit factors Mon Dec 26 19:11:43 2022 commencing number field sieve (112-digit input) Mon Dec 26 19:11:43 2022 R0: -2612522135690066964290 Mon Dec 26 19:11:43 2022 R1: 1299329991443 Mon Dec 26 19:11:43 2022 A0: -1676191882696940674460628981 Mon Dec 26 19:11:43 2022 A1: 248315692337939389130859 Mon Dec 26 19:11:43 2022 A2: 8153241509746641103 Mon Dec 26 19:11:43 2022 A3: -212882722003747 Mon Dec 26 19:11:43 2022 A4: -3003057434 Mon Dec 26 19:11:43 2022 A5: 24600 Mon Dec 26 19:11:43 2022 skew 52736.04, size 1.014e-010, alpha -6.867, combined = 7.741e-010 rroots = 5 Mon Dec 26 19:11:43 2022 Mon Dec 26 19:11:43 2022 commencing linear algebra Mon Dec 26 19:11:43 2022 read 450635 cycles Mon Dec 26 19:11:43 2022 cycles contain 1597262 unique relations Mon Dec 26 19:11:47 2022 read 1597262 relations Mon Dec 26 19:11:48 2022 using 20 quadratic characters above 134213334 Mon Dec 26 19:11:52 2022 building initial matrix Mon Dec 26 19:12:00 2022 memory use: 201.2 MB Mon Dec 26 19:12:00 2022 read 450635 cycles Mon Dec 26 19:12:01 2022 matrix is 450456 x 450635 (136.7 MB) with weight 43411987 (96.34/col) Mon Dec 26 19:12:01 2022 sparse part has weight 30437831 (67.54/col) Mon Dec 26 19:12:02 2022 filtering completed in 2 passes Mon Dec 26 19:12:02 2022 matrix is 449567 x 449746 (136.7 MB) with weight 43372188 (96.44/col) Mon Dec 26 19:12:02 2022 sparse part has weight 30425373 (67.65/col) Mon Dec 26 19:12:03 2022 matrix starts at (0, 0) Mon Dec 26 19:12:03 2022 matrix is 449567 x 449746 (136.7 MB) with weight 43372188 (96.44/col) Mon Dec 26 19:12:03 2022 sparse part has weight 30425373 (67.65/col) Mon Dec 26 19:12:03 2022 saving the first 48 matrix rows for later Mon Dec 26 19:12:03 2022 matrix includes 64 packed rows Mon Dec 26 19:12:03 2022 matrix is 449519 x 449746 (130.9 MB) with weight 34371898 (76.43/col) Mon Dec 26 19:12:03 2022 sparse part has weight 29807926 (66.28/col) Mon Dec 26 19:12:03 2022 using block size 8192 and superblock size 12582912 for processor cache size 131072 kB Mon Dec 26 19:12:05 2022 commencing Lanczos iteration (32 threads) Mon Dec 26 19:12:05 2022 memory use: 101.6 MB Mon Dec 26 19:12:10 2022 linear algebra at 2.7%, ETA 0h 3m Mon Dec 26 19:15:18 2022 lanczos halted after 7111 iterations (dim = 449519) Mon Dec 26 19:15:18 2022 recovered 29 nontrivial dependencies Mon Dec 26 19:15:18 2022 BLanczosTime: 215 Mon Dec 26 19:15:18 2022 elapsed time 00:03:35 Mon Dec 26 19:15:18 2022 Mon Dec 26 19:15:18 2022 Mon Dec 26 19:15:18 2022 Msieve v. 1.52 (SVN 927) Mon Dec 26 19:15:18 2022 random seeds: 0cb96300 df9378de Mon Dec 26 19:15:18 2022 factoring 2993702445089157633547540297032728215459335844856976769735701469574862217293234519767600378332714538355581960627 (112 digits) Mon Dec 26 19:15:18 2022 searching for 15-digit factors Mon Dec 26 19:15:18 2022 commencing number field sieve (112-digit input) Mon Dec 26 19:15:18 2022 R0: -2612522135690066964290 Mon Dec 26 19:15:18 2022 R1: 1299329991443 Mon Dec 26 19:15:18 2022 A0: -1676191882696940674460628981 Mon Dec 26 19:15:18 2022 A1: 248315692337939389130859 Mon Dec 26 19:15:18 2022 A2: 8153241509746641103 Mon Dec 26 19:15:18 2022 A3: -212882722003747 Mon Dec 26 19:15:18 2022 A4: -3003057434 Mon Dec 26 19:15:18 2022 A5: 24600 Mon Dec 26 19:15:18 2022 skew 52736.04, size 1.014e-010, alpha -6.867, combined = 7.741e-010 rroots = 5 Mon Dec 26 19:15:18 2022 Mon Dec 26 19:15:18 2022 commencing square root phase Mon Dec 26 19:15:18 2022 reading relations for dependency 1 Mon Dec 26 19:15:18 2022 read 224508 cycles Mon Dec 26 19:15:19 2022 cycles contain 796460 unique relations Mon Dec 26 19:15:21 2022 read 796460 relations Mon Dec 26 19:15:22 2022 multiplying 796460 relations Mon Dec 26 19:15:41 2022 multiply complete, coefficients have about 35.26 million bits Mon Dec 26 19:15:41 2022 initial square root is modulo 115859 Mon Dec 26 19:16:04 2022 GCD is 1, no factor found Mon Dec 26 19:16:04 2022 reading relations for dependency 2 Mon Dec 26 19:16:04 2022 read 225508 cycles Mon Dec 26 19:16:04 2022 cycles contain 799546 unique relations Mon Dec 26 19:16:06 2022 read 799546 relations Mon Dec 26 19:16:08 2022 multiplying 799546 relations Mon Dec 26 19:16:26 2022 multiply complete, coefficients have about 35.40 million bits Mon Dec 26 19:16:27 2022 initial square root is modulo 121157 Mon Dec 26 19:16:49 2022 GCD is 1, no factor found Mon Dec 26 19:16:49 2022 reading relations for dependency 3 Mon Dec 26 19:16:50 2022 read 224750 cycles Mon Dec 26 19:16:50 2022 cycles contain 798040 unique relations Mon Dec 26 19:16:52 2022 read 798040 relations Mon Dec 26 19:16:53 2022 multiplying 798040 relations Mon Dec 26 19:17:12 2022 multiply complete, coefficients have about 35.33 million bits Mon Dec 26 19:17:12 2022 initial square root is modulo 118411 Mon Dec 26 19:17:35 2022 GCD is N, no factor found Mon Dec 26 19:17:35 2022 reading relations for dependency 4 Mon Dec 26 19:17:35 2022 read 224745 cycles Mon Dec 26 19:17:35 2022 cycles contain 797708 unique relations Mon Dec 26 19:17:37 2022 read 797708 relations Mon Dec 26 19:17:39 2022 multiplying 797708 relations Mon Dec 26 19:17:57 2022 multiply complete, coefficients have about 35.32 million bits Mon Dec 26 19:17:58 2022 initial square root is modulo 117881 Mon Dec 26 19:18:20 2022 GCD is N, no factor found Mon Dec 26 19:18:20 2022 reading relations for dependency 5 Mon Dec 26 19:18:21 2022 read 224588 cycles Mon Dec 26 19:18:21 2022 cycles contain 796010 unique relations Mon Dec 26 19:18:23 2022 read 796010 relations Mon Dec 26 19:18:24 2022 multiplying 796010 relations Mon Dec 26 19:18:43 2022 multiply complete, coefficients have about 35.24 million bits Mon Dec 26 19:18:43 2022 initial square root is modulo 114973 Mon Dec 26 19:19:06 2022 sqrtTime: 228 Mon Dec 26 19:19:06 2022 prp50 factor: 21923143732157990566591303208559419294282990604817 Mon Dec 26 19:19:06 2022 prp63 factor: 136554432232173047791457391694863568762001211869893188282028931 Mon Dec 26 19:19:06 2022 elapsed time 00:03:48
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
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	December 24, 2022 11:46:19 UTC 2022 年 12 月 24 日 (土) 20 時 46 分 19 秒 (日本時間)

74×10¹⁹⁵+259

c116

name 名前	Ignacio Santos
date 日付	December 27, 2022 11:16:57 UTC 2022 年 12 月 27 日 (火) 20 時 16 分 57 秒 (日本時間)
composite number 合成数	21346659684689769744473231135216336393949756986140624707289903998917014718192963647283827635469596491136139199143171<116>
prime factors 素因数	3295215968341812383519789934479534632256726856419<49> 6478076062320016994099832817354146863684586054897107349290037536609<67>
factorization results 素因数分解の結果	-> makeJobFile(): Adjusted to q0=1700000, q1=1800000. -> client 1 q0: 1700000 LatSieveTime: 90 LatSieveTime: 93 LatSieveTime: 95 LatSieveTime: 98 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 113 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 129 -> makeJobFile(): Adjusted to q0=1800001, q1=1900000. -> client 1 q0: 1800001 LatSieveTime: 96 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 131 LatSieveTime: 131 LatSieveTime: 131 -> makeJobFile(): Adjusted to q0=1900001, q1=2000000. -> client 1 q0: 1900001 LatSieveTime: 97 LatSieveTime: 99 LatSieveTime: 101 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 130 LatSieveTime: 132 LatSieveTime: 137 -> makeJobFile(): Adjusted to q0=2000001, q1=2100000. -> client 1 q0: 2000001 LatSieveTime: 90 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 124 LatSieveTime: 126 LatSieveTime: 131 LatSieveTime: 131 LatSieveTime: 133 LatSieveTime: 137 LatSieveTime: 137 LatSieveTime: 138 -> makeJobFile(): Adjusted to q0=2100001, q1=2200000. -> client 1 q0: 2100001 LatSieveTime: 105 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 131 LatSieveTime: 132 LatSieveTime: 132 LatSieveTime: 132 LatSieveTime: 132 LatSieveTime: 133 LatSieveTime: 134 -> makeJobFile(): Adjusted to q0=2200001, q1=2300000. -> client 1 q0: 2200001 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 131 LatSieveTime: 133 LatSieveTime: 134 LatSieveTime: 137 LatSieveTime: 138 -> makeJobFile(): Adjusted to q0=2300001, q1=2400000. -> client 1 q0: 2300001 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 99 LatSieveTime: 102 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 131 LatSieveTime: 132 LatSieveTime: 132 LatSieveTime: 133 LatSieveTime: 133 LatSieveTime: 135 LatSieveTime: 137 LatSieveTime: 139 -> makeJobFile(): Adjusted to q0=2400001, q1=2500000. -> client 1 q0: 2400001 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 114 LatSieveTime: 116 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 130 LatSieveTime: 130 LatSieveTime: 132 LatSieveTime: 132 LatSieveTime: 133 LatSieveTime: 133 LatSieveTime: 133 LatSieveTime: 135 LatSieveTime: 136 LatSieveTime: 136 LatSieveTime: 136 LatSieveTime: 138 LatSieveTime: 138 LatSieveTime: 145 -> makeJobFile(): Adjusted to q0=2500001, q1=2600000. -> client 1 q0: 2500001 LatSieveTime: 90 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 114 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 131 LatSieveTime: 132 LatSieveTime: 132 LatSieveTime: 133 LatSieveTime: 135 LatSieveTime: 135 LatSieveTime: 137 LatSieveTime: 140 LatSieveTime: 143 LatSieveTime: 146 -> makeJobFile(): Adjusted to q0=2600001, q1=2700000. -> client 1 q0: 2600001 LatSieveTime: 94 LatSieveTime: 95 LatSieveTime: 106 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 132 LatSieveTime: 133 LatSieveTime: 134 LatSieveTime: 136 LatSieveTime: 136 LatSieveTime: 137 LatSieveTime: 138 LatSieveTime: 139 LatSieveTime: 140 LatSieveTime: 140 LatSieveTime: 141 LatSieveTime: 141 LatSieveTime: 143 Tue Dec 27 11:49:42 2022 Tue Dec 27 11:49:42 2022 Tue Dec 27 11:49:42 2022 Msieve v. 1.52 (SVN 927) Tue Dec 27 11:49:42 2022 random seeds: 462f1fb0 6f5f9647 Tue Dec 27 11:49:42 2022 factoring 21346659684689769744473231135216336393949756986140624707289903998917014718192963647283827635469596491136139199143171 (116 digits) Tue Dec 27 11:49:43 2022 searching for 15-digit factors Tue Dec 27 11:49:43 2022 commencing number field sieve (116-digit input) Tue Dec 27 11:49:43 2022 R0: -22002023625459957509182 Tue Dec 27 11:49:43 2022 R1: 1676860749781 Tue Dec 27 11:49:43 2022 A0: 150724354039524530874017563725 Tue Dec 27 11:49:43 2022 A1: 2236723652791048766602545 Tue Dec 27 11:49:43 2022 A2: -40071424686453796541 Tue Dec 27 11:49:43 2022 A3: -411302321078989 Tue Dec 27 11:49:43 2022 A4: 2057849632 Tue Dec 27 11:49:43 2022 A5: 4140 Tue Dec 27 11:49:43 2022 skew 146746.88, size 3.640e-011, alpha -6.400, combined = 4.380e-010 rroots = 5 Tue Dec 27 11:49:43 2022 Tue Dec 27 11:49:43 2022 commencing relation filtering Tue Dec 27 11:49:43 2022 estimated available RAM is 65413.5 MB Tue Dec 27 11:49:43 2022 commencing duplicate removal, pass 1 Tue Dec 27 11:49:58 2022 found 698732 hash collisions in 7436954 relations Tue Dec 27 11:50:07 2022 added 60968 free relations Tue Dec 27 11:50:07 2022 commencing duplicate removal, pass 2 Tue Dec 27 11:50:09 2022 found 397102 duplicates and 7100820 unique relations Tue Dec 27 11:50:09 2022 memory use: 24.6 MB Tue Dec 27 11:50:09 2022 reading ideals above 100000 Tue Dec 27 11:50:09 2022 commencing singleton removal, initial pass Tue Dec 27 11:50:34 2022 memory use: 188.3 MB Tue Dec 27 11:50:34 2022 reading all ideals from disk Tue Dec 27 11:50:34 2022 memory use: 245.6 MB Tue Dec 27 11:50:34 2022 keeping 9085050 ideals with weight <= 200, target excess is 37503 Tue Dec 27 11:50:35 2022 commencing in-memory singleton removal Tue Dec 27 11:50:35 2022 begin with 7100820 relations and 9085050 unique ideals Tue Dec 27 11:50:36 2022 reduce to 106 relations and 0 ideals in 16 passes Tue Dec 27 11:50:36 2022 max relations containing the same ideal: 0 Tue Dec 27 11:50:36 2022 filtering wants 1000000 more relations Tue Dec 27 11:50:36 2022 elapsed time 00:00:54 -> makeJobFile(): Adjusted to q0=2700001, q1=2800000. -> client 1 q0: 2700001 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 114 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 131 LatSieveTime: 131 LatSieveTime: 132 LatSieveTime: 132 LatSieveTime: 132 LatSieveTime: 133 LatSieveTime: 134 LatSieveTime: 134 LatSieveTime: 136 LatSieveTime: 137 LatSieveTime: 138 LatSieveTime: 138 LatSieveTime: 141 LatSieveTime: 141 LatSieveTime: 142 LatSieveTime: 142 Tue Dec 27 11:53:03 2022 Tue Dec 27 11:53:03 2022 Tue Dec 27 11:53:03 2022 Msieve v. 1.52 (SVN 927) Tue Dec 27 11:53:03 2022 random seeds: dc7bed00 75bed3cc Tue Dec 27 11:53:03 2022 factoring 21346659684689769744473231135216336393949756986140624707289903998917014718192963647283827635469596491136139199143171 (116 digits) Tue Dec 27 11:53:03 2022 searching for 15-digit factors Tue Dec 27 11:53:03 2022 commencing number field sieve (116-digit input) Tue Dec 27 11:53:03 2022 R0: -22002023625459957509182 Tue Dec 27 11:53:03 2022 R1: 1676860749781 Tue Dec 27 11:53:03 2022 A0: 150724354039524530874017563725 Tue Dec 27 11:53:03 2022 A1: 2236723652791048766602545 Tue Dec 27 11:53:03 2022 A2: -40071424686453796541 Tue Dec 27 11:53:03 2022 A3: -411302321078989 Tue Dec 27 11:53:03 2022 A4: 2057849632 Tue Dec 27 11:53:03 2022 A5: 4140 Tue Dec 27 11:53:03 2022 skew 146746.88, size 3.640e-011, alpha -6.400, combined = 4.380e-010 rroots = 5 Tue Dec 27 11:53:03 2022 Tue Dec 27 11:53:03 2022 commencing relation filtering Tue Dec 27 11:53:03 2022 estimated available RAM is 65413.5 MB Tue Dec 27 11:53:03 2022 commencing duplicate removal, pass 1 Tue Dec 27 11:53:21 2022 found 835689 hash collisions in 8272182 relations Tue Dec 27 11:53:30 2022 added 546 free relations Tue Dec 27 11:53:30 2022 commencing duplicate removal, pass 2 Tue Dec 27 11:53:32 2022 found 471151 duplicates and 7801577 unique relations Tue Dec 27 11:53:32 2022 memory use: 24.6 MB Tue Dec 27 11:53:32 2022 reading ideals above 100000 Tue Dec 27 11:53:32 2022 commencing singleton removal, initial pass Tue Dec 27 11:54:00 2022 memory use: 188.3 MB Tue Dec 27 11:54:00 2022 reading all ideals from disk Tue Dec 27 11:54:00 2022 memory use: 270.0 MB Tue Dec 27 11:54:01 2022 keeping 9493377 ideals with weight <= 200, target excess is 41240 Tue Dec 27 11:54:01 2022 commencing in-memory singleton removal Tue Dec 27 11:54:01 2022 begin with 7801577 relations and 9493377 unique ideals Tue Dec 27 11:54:04 2022 reduce to 1189748 relations and 1374290 ideals in 46 passes Tue Dec 27 11:54:04 2022 max relations containing the same ideal: 59 Tue Dec 27 11:54:04 2022 filtering wants 1000000 more relations Tue Dec 27 11:54:04 2022 elapsed time 00:01:01 -> makeJobFile(): Adjusted to q0=2800001, q1=2900000. -> client 1 q0: 2800001 LatSieveTime: 95 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 130 LatSieveTime: 131 LatSieveTime: 131 LatSieveTime: 131 LatSieveTime: 132 LatSieveTime: 133 LatSieveTime: 133 LatSieveTime: 134 LatSieveTime: 134 LatSieveTime: 135 LatSieveTime: 135 LatSieveTime: 140 LatSieveTime: 143 LatSieveTime: 144 Tue Dec 27 11:56:34 2022 Tue Dec 27 11:56:34 2022 Tue Dec 27 11:56:34 2022 Msieve v. 1.52 (SVN 927) Tue Dec 27 11:56:34 2022 random seeds: e4c5e718 d4d3aca8 Tue Dec 27 11:56:34 2022 factoring 21346659684689769744473231135216336393949756986140624707289903998917014718192963647283827635469596491136139199143171 (116 digits) Tue Dec 27 11:56:34 2022 searching for 15-digit factors Tue Dec 27 11:56:34 2022 commencing number field sieve (116-digit input) Tue Dec 27 11:56:34 2022 R0: -22002023625459957509182 Tue Dec 27 11:56:34 2022 R1: 1676860749781 Tue Dec 27 11:56:34 2022 A0: 150724354039524530874017563725 Tue Dec 27 11:56:34 2022 A1: 2236723652791048766602545 Tue Dec 27 11:56:34 2022 A2: -40071424686453796541 Tue Dec 27 11:56:34 2022 A3: -411302321078989 Tue Dec 27 11:56:34 2022 A4: 2057849632 Tue Dec 27 11:56:34 2022 A5: 4140 Tue Dec 27 11:56:34 2022 skew 146746.88, size 3.640e-011, alpha -6.400, combined = 4.380e-010 rroots = 5 Tue Dec 27 11:56:34 2022 Tue Dec 27 11:56:34 2022 commencing relation filtering Tue Dec 27 11:56:34 2022 estimated available RAM is 65413.5 MB Tue Dec 27 11:56:34 2022 commencing duplicate removal, pass 1 Tue Dec 27 11:56:53 2022 found 972520 hash collisions in 9030873 relations Tue Dec 27 11:57:02 2022 added 439 free relations Tue Dec 27 11:57:02 2022 commencing duplicate removal, pass 2 Tue Dec 27 11:57:05 2022 found 548639 duplicates and 8482673 unique relations Tue Dec 27 11:57:05 2022 memory use: 41.3 MB Tue Dec 27 11:57:05 2022 reading ideals above 100000 Tue Dec 27 11:57:05 2022 commencing singleton removal, initial pass Tue Dec 27 11:57:35 2022 memory use: 188.3 MB Tue Dec 27 11:57:35 2022 reading all ideals from disk Tue Dec 27 11:57:35 2022 memory use: 293.8 MB Tue Dec 27 11:57:36 2022 keeping 9855834 ideals with weight <= 200, target excess is 45099 Tue Dec 27 11:57:36 2022 commencing in-memory singleton removal Tue Dec 27 11:57:36 2022 begin with 8482673 relations and 9855834 unique ideals Tue Dec 27 11:57:40 2022 reduce to 2168619 relations and 2216074 ideals in 28 passes Tue Dec 27 11:57:40 2022 max relations containing the same ideal: 87 Tue Dec 27 11:57:40 2022 filtering wants 1000000 more relations Tue Dec 27 11:57:40 2022 elapsed time 00:01:06 -> makeJobFile(): Adjusted to q0=2900001, q1=3000000. -> client 1 q0: 2900001 LatSieveTime: 99 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 112 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 131 LatSieveTime: 131 LatSieveTime: 132 LatSieveTime: 132 LatSieveTime: 133 LatSieveTime: 133 LatSieveTime: 134 LatSieveTime: 136 LatSieveTime: 139 LatSieveTime: 139 LatSieveTime: 139 LatSieveTime: 140 LatSieveTime: 142 LatSieveTime: 142 LatSieveTime: 143 LatSieveTime: 145 Tue Dec 27 12:00:10 2022 Tue Dec 27 12:00:10 2022 Tue Dec 27 12:00:10 2022 Msieve v. 1.52 (SVN 927) Tue Dec 27 12:00:10 2022 random seeds: c5aa73e0 059d8ca6 Tue Dec 27 12:00:10 2022 factoring 21346659684689769744473231135216336393949756986140624707289903998917014718192963647283827635469596491136139199143171 (116 digits) Tue Dec 27 12:00:11 2022 searching for 15-digit factors Tue Dec 27 12:00:11 2022 commencing number field sieve (116-digit input) Tue Dec 27 12:00:11 2022 R0: -22002023625459957509182 Tue Dec 27 12:00:11 2022 R1: 1676860749781 Tue Dec 27 12:00:11 2022 A0: 150724354039524530874017563725 Tue Dec 27 12:00:11 2022 A1: 2236723652791048766602545 Tue Dec 27 12:00:11 2022 A2: -40071424686453796541 Tue Dec 27 12:00:11 2022 A3: -411302321078989 Tue Dec 27 12:00:11 2022 A4: 2057849632 Tue Dec 27 12:00:11 2022 A5: 4140 Tue Dec 27 12:00:11 2022 skew 146746.88, size 3.640e-011, alpha -6.400, combined = 4.380e-010 rroots = 5 Tue Dec 27 12:00:11 2022 Tue Dec 27 12:00:11 2022 commencing relation filtering Tue Dec 27 12:00:11 2022 estimated available RAM is 65413.5 MB Tue Dec 27 12:00:11 2022 commencing duplicate removal, pass 1 Tue Dec 27 12:00:31 2022 found 878972 hash collisions in 9808265 relations Tue Dec 27 12:00:41 2022 added 284 free relations Tue Dec 27 12:00:41 2022 commencing duplicate removal, pass 2 Tue Dec 27 12:00:44 2022 found 632475 duplicates and 9176074 unique relations Tue Dec 27 12:00:44 2022 memory use: 34.6 MB Tue Dec 27 12:00:44 2022 reading ideals above 100000 Tue Dec 27 12:00:44 2022 commencing singleton removal, initial pass Tue Dec 27 12:01:17 2022 memory use: 188.3 MB Tue Dec 27 12:01:17 2022 reading all ideals from disk Tue Dec 27 12:01:17 2022 memory use: 318.1 MB Tue Dec 27 12:01:17 2022 keeping 10194192 ideals with weight <= 200, target excess is 49170 Tue Dec 27 12:01:18 2022 commencing in-memory singleton removal Tue Dec 27 12:01:18 2022 begin with 9176074 relations and 10194192 unique ideals Tue Dec 27 12:01:21 2022 reduce to 3057869 relations and 2905248 ideals in 18 passes Tue Dec 27 12:01:21 2022 max relations containing the same ideal: 98 Tue Dec 27 12:01:22 2022 removing 467053 relations and 419261 ideals in 47792 cliques Tue Dec 27 12:01:22 2022 commencing in-memory singleton removal Tue Dec 27 12:01:22 2022 begin with 2590816 relations and 2905248 unique ideals Tue Dec 27 12:01:23 2022 reduce to 2528563 relations and 2422411 ideals in 11 passes Tue Dec 27 12:01:23 2022 max relations containing the same ideal: 86 Tue Dec 27 12:01:23 2022 removing 343833 relations and 296041 ideals in 47792 cliques Tue Dec 27 12:01:23 2022 commencing in-memory singleton removal Tue Dec 27 12:01:23 2022 begin with 2184730 relations and 2422411 unique ideals Tue Dec 27 12:01:24 2022 reduce to 2143550 relations and 2084341 ideals in 11 passes Tue Dec 27 12:01:24 2022 max relations containing the same ideal: 79 Tue Dec 27 12:01:24 2022 relations with 0 large ideals: 141 Tue Dec 27 12:01:24 2022 relations with 1 large ideals: 518 Tue Dec 27 12:01:24 2022 relations with 2 large ideals: 8312 Tue Dec 27 12:01:24 2022 relations with 3 large ideals: 63343 Tue Dec 27 12:01:24 2022 relations with 4 large ideals: 247231 Tue Dec 27 12:01:24 2022 relations with 5 large ideals: 531422 Tue Dec 27 12:01:24 2022 relations with 6 large ideals: 642598 Tue Dec 27 12:01:24 2022 relations with 7+ large ideals: 649985 Tue Dec 27 12:01:24 2022 commencing 2-way merge Tue Dec 27 12:01:25 2022 reduce to 1179107 relation sets and 1119899 unique ideals Tue Dec 27 12:01:25 2022 ignored 1 oversize relation sets Tue Dec 27 12:01:25 2022 commencing full merge Tue Dec 27 12:01:37 2022 memory use: 124.8 MB Tue Dec 27 12:01:37 2022 found 582338 cycles, need 574099 Tue Dec 27 12:01:37 2022 weight of 574099 cycles is about 40264504 (70.14/cycle) Tue Dec 27 12:01:37 2022 distribution of cycle lengths: Tue Dec 27 12:01:37 2022 1 relations: 67012 Tue Dec 27 12:01:37 2022 2 relations: 65541 Tue Dec 27 12:01:37 2022 3 relations: 65897 Tue Dec 27 12:01:37 2022 4 relations: 58601 Tue Dec 27 12:01:37 2022 5 relations: 52553 Tue Dec 27 12:01:37 2022 6 relations: 44296 Tue Dec 27 12:01:37 2022 7 relations: 39368 Tue Dec 27 12:01:37 2022 8 relations: 33980 Tue Dec 27 12:01:37 2022 9 relations: 28788 Tue Dec 27 12:01:37 2022 10+ relations: 118063 Tue Dec 27 12:01:37 2022 heaviest cycle: 22 relations Tue Dec 27 12:01:37 2022 commencing cycle optimization Tue Dec 27 12:01:38 2022 start with 3497944 relations Tue Dec 27 12:01:41 2022 pruned 63107 relations Tue Dec 27 12:01:41 2022 memory use: 120.6 MB Tue Dec 27 12:01:41 2022 distribution of cycle lengths: Tue Dec 27 12:01:41 2022 1 relations: 67012 Tue Dec 27 12:01:41 2022 2 relations: 66791 Tue Dec 27 12:01:41 2022 3 relations: 67624 Tue Dec 27 12:01:41 2022 4 relations: 59668 Tue Dec 27 12:01:41 2022 5 relations: 53311 Tue Dec 27 12:01:41 2022 6 relations: 44705 Tue Dec 27 12:01:41 2022 7 relations: 39753 Tue Dec 27 12:01:41 2022 8 relations: 33728 Tue Dec 27 12:01:41 2022 9 relations: 28553 Tue Dec 27 12:01:41 2022 10+ relations: 112954 Tue Dec 27 12:01:41 2022 heaviest cycle: 22 relations Tue Dec 27 12:01:42 2022 RelProcTime: 91 Tue Dec 27 12:01:42 2022 elapsed time 00:01:32 Tue Dec 27 12:01:42 2022 Tue Dec 27 12:01:42 2022 Tue Dec 27 12:01:42 2022 Msieve v. 1.52 (SVN 927) Tue Dec 27 12:01:42 2022 random seeds: cdd3326c 97200846 Tue Dec 27 12:01:42 2022 factoring 21346659684689769744473231135216336393949756986140624707289903998917014718192963647283827635469596491136139199143171 (116 digits) Tue Dec 27 12:01:42 2022 searching for 15-digit factors Tue Dec 27 12:01:42 2022 commencing number field sieve (116-digit input) Tue Dec 27 12:01:42 2022 R0: -22002023625459957509182 Tue Dec 27 12:01:42 2022 R1: 1676860749781 Tue Dec 27 12:01:42 2022 A0: 150724354039524530874017563725 Tue Dec 27 12:01:42 2022 A1: 2236723652791048766602545 Tue Dec 27 12:01:42 2022 A2: -40071424686453796541 Tue Dec 27 12:01:42 2022 A3: -411302321078989 Tue Dec 27 12:01:42 2022 A4: 2057849632 Tue Dec 27 12:01:42 2022 A5: 4140 Tue Dec 27 12:01:42 2022 skew 146746.88, size 3.640e-011, alpha -6.400, combined = 4.380e-010 rroots = 5 Tue Dec 27 12:01:42 2022 Tue Dec 27 12:01:42 2022 commencing linear algebra Tue Dec 27 12:01:42 2022 read 574099 cycles Tue Dec 27 12:01:43 2022 cycles contain 2057034 unique relations Tue Dec 27 12:01:47 2022 read 2057034 relations Tue Dec 27 12:01:49 2022 using 20 quadratic characters above 134217690 Tue Dec 27 12:01:54 2022 building initial matrix Tue Dec 27 12:02:04 2022 memory use: 252.1 MB Tue Dec 27 12:02:04 2022 read 574099 cycles Tue Dec 27 12:02:04 2022 matrix is 573918 x 574099 (172.6 MB) with weight 54206274 (94.42/col) Tue Dec 27 12:02:04 2022 sparse part has weight 38943109 (67.83/col) Tue Dec 27 12:02:07 2022 filtering completed in 2 passes Tue Dec 27 12:02:07 2022 matrix is 572149 x 572330 (172.5 MB) with weight 54132392 (94.58/col) Tue Dec 27 12:02:07 2022 sparse part has weight 38919143 (68.00/col) Tue Dec 27 12:02:07 2022 matrix starts at (0, 0) Tue Dec 27 12:02:08 2022 matrix is 572149 x 572330 (172.5 MB) with weight 54132392 (94.58/col) Tue Dec 27 12:02:08 2022 sparse part has weight 38919143 (68.00/col) Tue Dec 27 12:02:08 2022 saving the first 48 matrix rows for later Tue Dec 27 12:02:08 2022 matrix includes 64 packed rows Tue Dec 27 12:02:08 2022 matrix is 572101 x 572330 (165.9 MB) with weight 43038187 (75.20/col) Tue Dec 27 12:02:08 2022 sparse part has weight 37757527 (65.97/col) Tue Dec 27 12:02:08 2022 using block size 8192 and superblock size 12582912 for processor cache size 131072 kB Tue Dec 27 12:02:10 2022 commencing Lanczos iteration (32 threads) Tue Dec 27 12:02:10 2022 memory use: 129.5 MB Tue Dec 27 12:02:11 2022 linear algebra at 0.5%, ETA 0h 3m Tue Dec 27 12:06:44 2022 lanczos halted after 9048 iterations (dim = 572099) Tue Dec 27 12:06:44 2022 recovered 28 nontrivial dependencies Tue Dec 27 12:06:44 2022 BLanczosTime: 302 Tue Dec 27 12:06:44 2022 elapsed time 00:05:02 Tue Dec 27 12:06:44 2022 Tue Dec 27 12:06:44 2022 Tue Dec 27 12:06:44 2022 Msieve v. 1.52 (SVN 927) Tue Dec 27 12:06:44 2022 random seeds: 31f4f9e0 a9b568a8 Tue Dec 27 12:06:44 2022 factoring 21346659684689769744473231135216336393949756986140624707289903998917014718192963647283827635469596491136139199143171 (116 digits) Tue Dec 27 12:06:45 2022 searching for 15-digit factors Tue Dec 27 12:06:45 2022 commencing number field sieve (116-digit input) Tue Dec 27 12:06:45 2022 R0: -22002023625459957509182 Tue Dec 27 12:06:45 2022 R1: 1676860749781 Tue Dec 27 12:06:45 2022 A0: 150724354039524530874017563725 Tue Dec 27 12:06:45 2022 A1: 2236723652791048766602545 Tue Dec 27 12:06:45 2022 A2: -40071424686453796541 Tue Dec 27 12:06:45 2022 A3: -411302321078989 Tue Dec 27 12:06:45 2022 A4: 2057849632 Tue Dec 27 12:06:45 2022 A5: 4140 Tue Dec 27 12:06:45 2022 skew 146746.88, size 3.640e-011, alpha -6.400, combined = 4.380e-010 rroots = 5 Tue Dec 27 12:06:45 2022 Tue Dec 27 12:06:45 2022 commencing square root phase Tue Dec 27 12:06:45 2022 reading relations for dependency 1 Tue Dec 27 12:06:45 2022 read 286208 cycles Tue Dec 27 12:06:45 2022 cycles contain 1029226 unique relations Tue Dec 27 12:06:48 2022 read 1029226 relations Tue Dec 27 12:06:50 2022 multiplying 1029226 relations Tue Dec 27 12:07:13 2022 multiply complete, coefficients have about 44.20 million bits Tue Dec 27 12:07:13 2022 initial square root is modulo 2216609 Tue Dec 27 12:07:41 2022 GCD is N, no factor found Tue Dec 27 12:07:41 2022 reading relations for dependency 2 Tue Dec 27 12:07:41 2022 read 286508 cycles Tue Dec 27 12:07:42 2022 cycles contain 1029230 unique relations Tue Dec 27 12:07:44 2022 read 1029230 relations Tue Dec 27 12:07:46 2022 multiplying 1029230 relations Tue Dec 27 12:08:09 2022 multiply complete, coefficients have about 44.20 million bits Tue Dec 27 12:08:09 2022 initial square root is modulo 2217287 Tue Dec 27 12:08:37 2022 sqrtTime: 112 Tue Dec 27 12:08:37 2022 prp49 factor: 3295215968341812383519789934479534632256726856419 Tue Dec 27 12:08:37 2022 prp67 factor: 6478076062320016994099832817354146863684586054897107349290037536609 Tue Dec 27 12:08:37 2022 elapsed time 00:01:53
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
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	December 24, 2022 11:58:57 UTC 2022 年 12 月 24 日 (土) 20 時 58 分 57 秒 (日本時間)

74×10¹⁹⁶+259

c170

name 名前	Bob Backstrom
date 日付	February 19, 2023 09:17:52 UTC 2023 年 2 月 19 日 (日) 18 時 17 分 52 秒 (日本時間)
composite number 合成数	20078779731023934551605581961347565436156184772527862398001247685871894481164775955847110071343008922606998098522707521255680139378759762883233801842277737302128867160251<170>
prime factors 素因数	766082974624122252261574142691834344542539709999787049951074065447<66> 26209667093666407594747612177450128655515747905336956442192198647982902633625943555979586211327291891533<104>
factorization results 素因数分解の結果	Number: n N=20078779731023934551605581961347565436156184772527862398001247685871894481164775955847110071343008922606998098522707521255680139378759762883233801842277737302128867160251 ( 170 digits) SNFS difficulty: 197 digits. Divisors found: Sun Feb 19 20:08:14 2023 prp66 factor: 766082974624122252261574142691834344542539709999787049951074065447 Sun Feb 19 20:08:14 2023 prp104 factor: 26209667093666407594747612177450128655515747905336956442192198647982902633625943555979586211327291891533 Sun Feb 19 20:08:14 2023 elapsed time 02:06:41 (Msieve 1.44 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.078). Factorization parameters were as follows: # # N = 74x10^196+25 = 82(195)5 # n: 20078779731023934551605581961347565436156184772527862398001247685871894481164775955847110071343008922606998098522707521255680139378759762883233801842277737302128867160251 m: 1000000000000000000000000000000000000000 deg: 5 c5: 148 c0: 5 skew: 0.51 # Murphy_E = 2.282e-11 type: snfs lss: 1 rlim: 13000000 alim: 13000000 lpbr: 27 lpba: 27 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 13000000/13000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 53/53 Sieved special-q in [100000, 24900000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1583455 hash collisions in 13178006 relations (12340051 unique) Msieve: matrix is 1947892 x 1948119 (553.9 MB) Sieving start time: 2023/02/19 09:00:13 Sieving end time : 2023/02/19 18:01:12 Total sieving time: 9hrs 0min 59secs. Total relation processing time: 1hrs 50min 8sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 12min 54sec. Prototype def-par.txt line would be: snfs,197,5,0,0,0,0,0,0,0,0,13000000,13000000,27,27,53,53,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 8, 2023 13:41:43 UTC 2023 年 1 月 8 日 (日) 22 時 41 分 43 秒 (日本時間)
45	11e6	1000 / 4213	Dmitry Domanov	January 24, 2023 05:48:21 UTC 2023 年 1 月 24 日 (火) 14 時 48 分 21 秒 (日本時間)

74×10¹⁹⁹+259

c184

name 名前	Bob Backstrom
date 日付	February 16, 2023 16:18:18 UTC 2023 年 2 月 17 日 (金) 1 時 18 分 18 秒 (日本時間)
composite number 合成数	4156773286472919553443429703473800610997050787575009303050844113473826386147848841399360885616730571267418354184698082183410691081976416168872991544368737616457625894090915745221055101<184>
prime factors 素因数	624652310703916566663103119259043667489852348229179775783<57> 6654539197635688193834863192675974951689332170617520473704854822943765831162444452337102903464626323940350579087636823549705147<127>
factorization results 素因数分解の結果	Number: n N=4156773286472919553443429703473800610997050787575009303050844113473826386147848841399360885616730571267418354184698082183410691081976416168872991544368737616457625894090915745221055101 ( 184 digits) SNFS difficulty: 199 digits. Divisors found: Fri Feb 17 02:53:29 2023 prp57 factor: 624652310703916566663103119259043667489852348229179775783 Fri Feb 17 02:53:29 2023 prp127 factor: 6654539197635688193834863192675974951689332170617520473704854822943765831162444452337102903464626323940350579087636823549705147 Fri Feb 17 02:53:29 2023 elapsed time 02:28:49 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.097). Factorization parameters were as follows: # # N = 74x10^199+25 = 82(198)5 # n: 4156773286472919553443429703473800610997050787575009303050844113473826386147848841399360885616730571267418354184698082183410691081976416168872991544368737616457625894090915745221055101 m: 2000000000000000000000000000000000000000 deg: 5 c5: 925 c0: 1 skew: 0.26 # Murphy_E = 2.027e-11 type: snfs lss: 1 rlim: 14300000 alim: 14300000 lpbr: 27 lpba: 27 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 14300000/14300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 53/53 Sieved special-q in [100000, 25550000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1601243 hash collisions in 13074804 relations (12203364 unique) Msieve: matrix is 2169901 x 2170128 (618.9 MB) Sieving start time: 2023/02/16 14:06:02 Sieving end time : 2023/02/17 00:24:14 Total sieving time: 10hrs 18min 12secs. Total relation processing time: 2hrs 21min 46sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 13sec. Prototype def-par.txt line would be: snfs,199,5,0,0,0,0,0,0,0,0,14300000,14300000,27,27,53,53,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 8, 2023 21:22:07 UTC 2023 年 1 月 9 日 (月) 6 時 22 分 7 秒 (日本時間)
45	11e6	1000 / 4213	Dmitry Domanov	January 24, 2023 05:48:31 UTC 2023 年 1 月 24 日 (火) 14 時 48 分 31 秒 (日本時間)

74×10²⁰⁰+259

c178

name 名前	Bob Backstrom
date 日付	June 10, 2023 16:26:54 UTC 2023 年 6 月 11 日 (日) 1 時 26 分 54 秒 (日本時間)
composite number 合成数	9297959227513551614173176256556790038050026359225900622393289461783698327926187516936783381643911848948596800333353951270162578618327230029002683647618120330695775621195360488677<178>
prime factors 素因数	2743730971925590299531643742650499817548866774587661969817604093172673333<73> 3388801352119485899702541202602823678654274633199215344569193542298401997478481006818665794419999139913969<106>
factorization results 素因数分解の結果	Number: n N=9297959227513551614173176256556790038050026359225900622393289461783698327926187516936783381643911848948596800333353951270162578618327230029002683647618120330695775621195360488677 ( 178 digits) SNFS difficulty: 201 digits. Divisors found: Thu Jun 8 08:47:46 2023 prp73 factor: 2743730971925590299531643742650499817548866774587661969817604093172673333 Thu Jun 8 08:47:46 2023 prp106 factor: 3388801352119485899702541202602823678654274633199215344569193542298401997478481006818665794419999139913969 Thu Jun 8 08:47:46 2023 elapsed time 02:34:40 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.086). Factorization parameters were as follows: # # N = 74x10^200+25 = 82(199)5 # n: 9297959227513551614173176256556790038050026359225900622393289461783698327926187516936783381643911848948596800333353951270162578618327230029002683647618120330695775621195360488677 m: 10000000000000000000000000000000000000000 deg: 5 c5: 74 c0: 25 skew: 0.80 # Murphy_E = 1.425e-11 type: snfs lss: 1 rlim: 16200000 alim: 16200000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 16200000/16200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 33700000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2051768 hash collisions in 14987728 relations (13730229 unique) Msieve: matrix is 2195298 x 2195523 (623.1 MB) Sieving start time: 2023/06/07 15:11:38 Sieving end time : 2023/06/08 06:12:49 Total sieving time: 15hrs 1min 11secs. Total relation processing time: 2hrs 27min 54sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 38sec. Prototype def-par.txt line would be: snfs,201,5,0,0,0,0,0,0,0,0,16200000,16200000,27,27,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	January 20, 2023 09:01:43 UTC 2023 年 1 月 20 日 (金) 18 時 1 分 43 秒 (日本時間)

74×10²⁰¹+259

c180

name 名前	Bob Backstrom
date 日付	June 28, 2023 12:45:04 UTC 2023 年 6 月 28 日 (水) 21 時 45 分 4 秒 (日本時間)
composite number 合成数	191707857315658613313313704033182286670396600708510415771111239455513613660959583080392452053412918717931709169831685840327028682254481851474244393916541015990073098070336814819377<180>
prime factors 素因数	551620062228895264959480261802648556886522908639<48> 347536049615449369123225149012434936870071811192997156277543312941044064877189744758272025895244198656047913591637658003565420956143<132>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 191707857315658613313313704033182286670396600708510415771111239455513613660959583080392452053412918717931709169831685840327028682254481851474244393916541015990073098070336814819377 (180 digits) Using B1=41250000, B2=192394462276, polynomial Dickson(12), sigma=1:3731809132 Step 1 took 110787ms Step 2 took 32840ms ********** Factor found in step 2: 551620062228895264959480261802648556886522908639 Found prime factor of 48 digits: 551620062228895264959480261802648556886522908639 Prime cofactor 347536049615449369123225149012434936870071811192997156277543312941044064877189744758272025895244198656047913591637658003565420956143 has 132 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	3400	1000	Dmitry Domanov	January 20, 2023 09:02:56 UTC 2023 年 1 月 20 日 (金) 18 時 2 分 56 秒 (日本時間)
40	3e6	3400	2400	ccc	June 18, 2023 11:00:44 UTC 2023 年 6 月 18 日 (日) 20 時 0 分 44 秒 (日本時間)

74×10²⁰²+259

c137

name 名前	Eric Jeancolas
date 日付	July 14, 2023 17:03:25 UTC 2023 年 7 月 15 日 (土) 2 時 3 分 25 秒 (日本時間)
composite number 合成数	35735389188374266647780833802361432903297955316224517387797724697587906156106696438863011544272901782904373115641133850056261610025907791<137>
prime factors 素因数	33132585393182712722533607810381898336806566828483612580102459107367<68> 1078557219857859358622141839246552127533283273285778626340260692210073<70>
factorization results 素因数分解の結果	35735389188374266647780833802361432903297955316224517387797724697587906156106696438863011544272901782904373115641133850056261610025907791=331325853931827127225336078103818983368065668284836125801024591073671078557219857859358622141839246552127533283273285778626340260692210073 cado polynomial n: 35735389188374266647780833802361432903297955316224517387797724697587906156106696438863011544272901782904373115641133850056261610025907791 skew: 290008.062 c0: -265751664709580416219394870989570 c1: 1687668304108387634689986131 c2: 10547584299560499407568 c3: -17146943468545208 c4: -59123611910 c5: -131100 Y0: -265215947576122673758891971 Y1: 22215820575344486039 # MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 9.982e-08 # f(x) = -131100x^5-59123611910x^4-17146943468545208x^3+10547584299560499407568x^2+1687668304108387634689986131x-265751664709580416219394870989570 # g(x) = 22215820575344486039*x-265215947576122673758891971 cado parameters (extracts) tasks.lim0 = 3341873 tasks.lim1 = 16407032 tasks.lpb0 = 27 tasks.lpb1 = 28 tasks.sieve.mfb0 = 51 tasks.sieve.mfb1 = 62 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 1078557219857859358622141839246552127533283273285778626340260692210073 33132585393182712722533607810381898336806566828483612580102459107367 Info:Square Root: Total cpu/real time for sqrt: 1852.52/552.397 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 53395.3 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54507/41.340/49.087/53.680/0.944 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44009/39.960/44.012/49.790/1.217 Info:Polynomial Selection (size optimized): Total time: 17973.4 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 11014.7 Info:Polynomial Selection (root optimized): Rootsieve time: 11007.9 Info:Generate Factor Base: Total cpu/real time for makefb: 21.5/5.76224 Info:Generate Free Relations: Total cpu/real time for freerel: 323.12/81.8217 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 17190860 Info:Lattice Sieving: Average J: 3805.6 for 796754 special-q, max bucket fill -bkmult 1.0,1s:1.193070 Info:Lattice Sieving: Total time: 469330s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51/112.857 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 112.5s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 299.12/263.571 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 244.39999999999998s Info:Filtering - Singleton removal: Total cpu/real time for purge: 168.86/165.661 Info:Filtering - Merging: Merged matrix has 1500352 rows and total weight 255524182 (170.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 336.19/94.231 Info:Filtering - Merging: Total cpu/real time for replay: 65.79/56.9644 Info:Linear Algebra: Total cpu/real time for bwc: 36698.6/18512 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 11685.41, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (47104 iterations) Info:Linear Algebra: Lingen CPU time 307.08, WCT time 162.89 Info:Linear Algebra: Mksol: WCT time 6484.46, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23552 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 65.54/26.6588 Info:Square Root: Total cpu/real time for sqrt: 1852.52/552.397 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 979208/278.882 1078557219857859358622141839246552127533283273285778626340260692210073 33132585393182712722533607810381898336806566828483612580102459107367
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic\|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] 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
35	1e6	1000	Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	December 23, 2022 16:42:32 UTC 2022 年 12 月 24 日 (土) 1 時 42 分 32 秒 (日本時間)
45	11e6	4480	Ignacio Santos	December 28, 2022 14:54:26 UTC 2022 年 12 月 28 日 (水) 23 時 54 分 26 秒 (日本時間)
50	43e6	6454	Ignacio Santos	April 25, 2023 11:18:25 UTC 2023 年 4 月 25 日 (火) 20 時 18 分 25 秒 (日本時間)

74×10²⁰³+259

c153

composite cofactor 合成数の残り	775413606040919327672904698531267179177498310329195533531760882631269472814351838289464511444649456454597655045377717543365526071383297753588941778432989<153>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	January 20, 2023 09:02:01 UTC 2023 年 1 月 20 日 (金) 18 時 2 分 1 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 15, 2023 07:10:20 UTC 2023 年 7 月 15 日 (土) 16 時 10 分 20 秒 (日本時間)
45	11e6	4479		Rytis Slatkevičius	August 11, 2023 04:49:35 UTC 2023 年 8 月 11 日 (金) 13 時 49 分 35 秒 (日本時間)
50	43e6	1486 / 6416		Rytis Slatkevičius	August 11, 2023 04:49:35 UTC 2023 年 8 月 11 日 (金) 13 時 49 分 35 秒 (日本時間)

74×10²⁰⁴+259

c184

name 名前	Bob Backstrom
date 日付	August 24, 2023 02:57:24 UTC 2023 年 8 月 24 日 (木) 11 時 57 分 24 秒 (日本時間)
composite number 合成数	2642604606457716504844773163709583503639079493069163547378891558498530038029906444498129133327564512987395026625683757311446332845042056983541210744452300491950985020407830114230815357<184>
prime factors 素因数	12357783742633343426840202300595925247641<41> 213841305325723308787919519226093788515240537798695569678886918457076890591320885405601402327645816933601228715760299895298751813038823002867077<144>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 2642604606457716504844773163709583503639079493069163547378891558498530038029906444498129133327564512987395026625683757311446332845042056983541210744452300491950985020407830114230815357 (184 digits) Using B1=51770000, B2=288593074786, polynomial Dickson(12), sigma=1:1823383035 Step 1 took 140480ms Step 2 took 46171ms ********** Factor found in step 2: 12357783742633343426840202300595925247641 Found prime factor of 41 digits: 12357783742633343426840202300595925247641 Prime cofactor 213841305325723308787919519226093788515240537798695569678886918457076890591320885405601402327645816933601228715760299895298751813038823002867077 has 144 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	January 21, 2023 12:57:24 UTC 2023 年 1 月 21 日 (土) 21 時 57 分 24 秒 (日本時間)

74×10²⁰⁷+259

c155

composite cofactor 合成数の残り	24918076209645135333446867803570780498561880388358071619583201494998500455510985603431400384649050127184641652957598641469678312215622811575765273602003483<155>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	January 20, 2023 09:02:09 UTC 2023 年 1 月 20 日 (金) 18 時 2 分 9 秒 (日本時間)

74×10²¹¹+259

c204

composite cofactor 合成数の残り

774304577047765515252217552066947210817579047276290786003115895790218498026478129780300755069909632116123922320404565770647165073443443106440903518222878916212161651461914508351515757451288590614209519651<204>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	January 25, 2023 09:30:42 UTC 2023 年 1 月 25 日 (水) 18 時 30 分 42 秒 (日本時間)

74×10²¹²+259

c149

composite cofactor 合成数の残り	41214149872995897119651093253008563664615717472660865017995144653758562125917870239286493357082371533497492645893497765602396898940607085729454598909<149>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	January 20, 2023 09:02:19 UTC 2023 年 1 月 20 日 (金) 18 時 2 分 19 秒 (日本時間)

74×10²¹³+259

c192

composite cofactor 合成数の残り	845828918838465030841587082809989359226383222795833264161418133920460337000158281406803969362207895182057943258046612572510966417214346854868279181993773427312728912126837737604202705546053833<192>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	January 21, 2023 12:59:14 UTC 2023 年 1 月 21 日 (土) 21 時 59 分 14 秒 (日本時間)

74×10²¹⁵+259

c169

composite cofactor 合成数の残り	2028463589618917253797577229582499958217426562548921685794060527589932137009601377838303404027305356308419514386368007548858636050512993237343076946382883950050739916911<169>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	January 20, 2023 09:02:28 UTC 2023 年 1 月 20 日 (金) 18 時 2 分 28 秒 (日本時間)

74×10²¹⁶+259

c161

composite cofactor 合成数の残り	90072135856174965328412959288913310400684808189201929817775881860522061027152771630072210536760130675579248915945348593753732118938226948350400701134441471032063<161>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	January 20, 2023 09:02:36 UTC 2023 年 1 月 20 日 (金) 18 時 2 分 36 秒 (日本時間)

74×10²¹⁷+259

c209

composite cofactor 合成数の残り

73993409591991165326882247915383796553700453284877049213419183786848064909978630478329871354183161291281688768185639625542651979844785174596461629653800810096346743636411163948655003170505111036022799039346563<209>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	January 25, 2023 09:30:56 UTC 2023 年 1 月 25 日 (水) 18 時 30 分 56 秒 (日本時間)

74×10²²²+259

c157

composite cofactor 合成数の残り	1224227539492976922149984020203186070581158206410265330358822521723858254278044888022211263820128864163050200402233376542150422356939031076844005099891368591<157>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

74×10²²⁴+259

c167

composite cofactor 合成数の残り	40272813706613612884371157480247679080331463857725285771369518516658696909815558225774956324838647256184228889451075986492598130516567035566332729834911555144498782751<167>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

74×10²²⁶+259

c193

composite cofactor 合成数の残り	3439330007704716773702438844228984797503895769081061991475455239940424735259894116829811373730219453365827765474103547403333958013956386428010899496765006130663541201788197472008551556032307897<193>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	January 21, 2023 13:19:44 UTC 2023 年 1 月 21 日 (土) 22 時 19 分 44 秒 (日本時間)

74×10²²⁷+259

c189

composite cofactor 合成数の残り	130260526492374941655603274324412387799300341474850016165880396300502912723533331750936427333772858988447614286032521816373801717053679837047776747949032582721884755764183087010593092142549<189>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	January 21, 2023 13:19:38 UTC 2023 年 1 月 21 日 (土) 22 時 19 分 38 秒 (日本時間)

74×10²²⁸+259

c211

composite cofactor 合成数の残り

1548857525713273602798718047266896346149200751662762884284517042487074239308402716395115380230108373674149538467753485903756814545394522526270119272355322062874505731253174152953181847856989663639138093519193693<211>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 27, 2023 17:45:23 UTC 2023 年 1 月 28 日 (土) 2 時 45 分 23 秒 (日本時間)

74×10²³⁰+259

c220

composite cofactor 合成数の残り

9949672125760297182819881093204911734690992959008065436731499722180095192793602988270973183952025645474057208647041003810975955911183903127511219407685425314051292152495337111620683501804410368083980086030133819624176973<220>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 27, 2023 17:45:30 UTC 2023 年 1 月 28 日 (土) 2 時 45 分 30 秒 (日本時間)

74×10²³¹+259

c213

composite cofactor 合成数の残り

517013396422274207731983104006966284036470932770297254225377673826671582830392009134621209196928447665480581147441031388947516639020880999610177902507061016501696339524374781785217289246158394287624838999658021811<213>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 27, 2023 17:45:37 UTC 2023 年 1 月 28 日 (土) 2 時 45 分 37 秒 (日本時間)

74×10²³⁴+259

c164

composite cofactor 合成数の残り	42758603611424999501288999946327844288160892059564869514751520435799920396607158270369650173378439032777996621547667187248448301634654458866288421436464974051431147<164>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

74×10²³⁵+259

c185

composite cofactor 合成数の残り	32225981137305067805045961469918002047309797202439987343015931399722732835807962114395849923250195568681117259890865716333160320905809753885203344099860949563311553667222023699326752323<185>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	January 21, 2023 13:19:30 UTC 2023 年 1 月 21 日 (土) 22 時 19 分 30 秒 (日本時間)

74×10²³⁶+259

c225

name 名前	Dmitry Domanov
date 日付	January 27, 2023 18:29:00 UTC 2023 年 1 月 28 日 (土) 3 時 29 分 0 秒 (日本時間)
composite number 合成数	593146281083774734229335537911344587548920291674422916207526721176875905828061024571472581505108585691880192608321029283169220964115001090940961035501583698425348091039781336046683785541680005789854586762389867290956599817731<225>
prime factors 素因数	2036829028953458054581005734162162965393<40>
composite cofactor 合成数の残り	291210638032068347868216954148920169154067635938725782149437404142283489228324656936078416104097728656630467056235172192822191447276464954165294561884325705332170391776298691843443254867<186>
factorization results 素因数分解の結果	GPU: factor 2036829028953458054581005734162162965393 found in Step 1 with curve 1569 (-sigma 3:-456363118) Computing 1792 Step 1 took 270ms of CPU time / 175408ms of GPU time Throughput: 10.216 curves per second (on average 97.88ms per Step 1) ********** Factor found in step 1: 2036829028953458054581005734162162965393 Found prime factor of 40 digits: 2036829028953458054581005734162162965393 Composite cofactor 291210638032068347868216954148920169154067635938725782149437404142283489228324656936078416104097728656630467056235172192822191447276464954165294561884325705332170391776298691843443254867 has 186 digits Peak memory usage: 9428MB

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 27, 2023 17:45:44 UTC 2023 年 1 月 28 日 (土) 2 時 45 分 44 秒 (日本時間)

74×10²³⁷+259

c197

name 名前	Dmitry Domanov
date 日付	January 21, 2023 17:09:56 UTC 2023 年 1 月 22 日 (日) 2 時 9 分 56 秒 (日本時間)
composite number 合成数	42366858444047444162998273541365005671311820236225799867439010850106136632239500157339993075248014043810197369808465077807091830134976803018337848144835816054955861499020525239562797113911688058649<197>
prime factors 素因数	11191524299863286325743299441897691<35>
composite cofactor 合成数の残り	3785620020015056410615509829208756109217424537943673484020186893411282260770739540595070765315963576238416998328908078844047795708321897335578433036122298083315739<163>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3608719214 Step 1 took 11580ms Step 2 took 5104ms ********** Factor found in step 2: 11191524299863286325743299441897691 Found prime factor of 35 digits: 11191524299863286325743299441897691 Composite cofactor 3785620020015056410615509829208756109217424537943673484020186893411282260770739540595070765315963576238416998328908078844047795708321897335578433036122298083315739 has 163 digits

c163

name 名前	Ignacio Santos
date 日付	January 24, 2023 17:12:44 UTC 2023 年 1 月 25 日 (水) 2 時 12 分 44 秒 (日本時間)
composite number 合成数	3785620020015056410615509829208756109217424537943673484020186893411282260770739540595070765315963576238416998328908078844047795708321897335578433036122298083315739<163>
prime factors 素因数	17057208618299707002314744185723099377749<41>
composite cofactor 合成数の残り	221936666469194756823153036019062897753134264270193740382008984868449186945500735770111941790728711644355547641011787214511<123>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2114076863 Step 1 took 4438ms Step 2 took 2375ms ********** Factor found in step 1: 17057208618299707002314744185723099377749 Found prime factor of 41 digits: 17057208618299707002314744185723099377749 Composite cofactor 221936666469194756823153036019062897753134264270193740382008984868449186945500735770111941790728711644355547641011787214511 has 123 digits
software ソフトウェア	GMP-ECM

c123

name 名前	Ignacio Santos
date 日付	January 25, 2023 14:48:36 UTC 2023 年 1 月 25 日 (水) 23 時 48 分 36 秒 (日本時間)
composite number 合成数	221936666469194756823153036019062897753134264270193740382008984868449186945500735770111941790728711644355547641011787214511<123>
prime factors 素因数	1270927174609134990818418439097186766822991<43> 174625793596277354947975639046670097409613616435794918119245975954323292434018721<81>
factorization results 素因数分解の結果	-> makeJobFile(): Adjusted to q0=2450000, q1=2550000. -> client 1 q0: 2450000 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 122 LatSieveTime: 125 LatSieveTime: 128 LatSieveTime: 128 -> makeJobFile(): Adjusted to q0=2550001, q1=2650000. -> client 1 q0: 2550001 LatSieveTime: 93 LatSieveTime: 96 LatSieveTime: 99 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 130 LatSieveTime: 131 LatSieveTime: 131 LatSieveTime: 136 -> makeJobFile(): Adjusted to q0=2650001, q1=2750000. -> client 1 q0: 2650001 LatSieveTime: 86 LatSieveTime: 93 LatSieveTime: 93 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 137 LatSieveTime: 138 LatSieveTime: 138 -> makeJobFile(): Adjusted to q0=2750001, q1=2850000. -> client 1 q0: 2750001 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 99 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 131 LatSieveTime: 133 -> makeJobFile(): Adjusted to q0=2850001, q1=2950000. -> client 1 q0: 2850001 LatSieveTime: 91 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 99 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 143 -> makeJobFile(): Adjusted to q0=2950001, q1=3050000. -> client 1 q0: 2950001 LatSieveTime: 95 LatSieveTime: 95 LatSieveTime: 97 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 101 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 131 -> makeJobFile(): Adjusted to q0=3050001, q1=3150000. -> client 1 q0: 3050001 LatSieveTime: 94 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 130 LatSieveTime: 133 -> makeJobFile(): Adjusted to q0=3150001, q1=3250000. -> client 1 q0: 3150001 LatSieveTime: 101 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 130 LatSieveTime: 130 LatSieveTime: 132 LatSieveTime: 134 LatSieveTime: 142 -> makeJobFile(): Adjusted to q0=3250001, q1=3350000. -> client 1 q0: 3250001 LatSieveTime: 90 LatSieveTime: 91 LatSieveTime: 92 LatSieveTime: 94 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 128 LatSieveTime: 129 LatSieveTime: 134 -> makeJobFile(): Adjusted to q0=3350001, q1=3450000. -> client 1 q0: 3350001 LatSieveTime: 96 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 131 LatSieveTime: 137 -> makeJobFile(): Adjusted to q0=3450001, q1=3550000. -> client 1 q0: 3450001 LatSieveTime: 85 LatSieveTime: 99 LatSieveTime: 102 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 133 LatSieveTime: 134 LatSieveTime: 139 -> makeJobFile(): Adjusted to q0=3550001, q1=3650000. -> client 1 q0: 3550001 LatSieveTime: 92 LatSieveTime: 95 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 104 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 125 LatSieveTime: 127 LatSieveTime: 129 LatSieveTime: 131 LatSieveTime: 131 LatSieveTime: 132 LatSieveTime: 134 LatSieveTime: 135 -> makeJobFile(): Adjusted to q0=3650001, q1=3750000. -> client 1 q0: 3650001 LatSieveTime: 96 LatSieveTime: 101 LatSieveTime: 103 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 131 LatSieveTime: 132 LatSieveTime: 136 -> makeJobFile(): Adjusted to q0=3750001, q1=3850000. -> client 1 q0: 3750001 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 102 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 127 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 130 LatSieveTime: 130 LatSieveTime: 131 LatSieveTime: 135 LatSieveTime: 139 -> makeJobFile(): Adjusted to q0=3850001, q1=3950000. -> client 1 q0: 3850001 LatSieveTime: 101 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 131 LatSieveTime: 132 LatSieveTime: 133 LatSieveTime: 134 -> makeJobFile(): Adjusted to q0=3950001, q1=4050000. -> client 1 q0: 3950001 LatSieveTime: 92 LatSieveTime: 99 LatSieveTime: 101 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 130 LatSieveTime: 131 LatSieveTime: 132 LatSieveTime: 142 -> makeJobFile(): Adjusted to q0=4050001, q1=4150000. -> client 1 q0: 4050001 LatSieveTime: 84 LatSieveTime: 95 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 137 LatSieveTime: 138 -> makeJobFile(): Adjusted to q0=4150001, q1=4250000. -> client 1 q0: 4150001 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 130 LatSieveTime: 130 LatSieveTime: 131 LatSieveTime: 131 LatSieveTime: 134 LatSieveTime: 134 LatSieveTime: 140 LatSieveTime: 141 -> makeJobFile(): Adjusted to q0=4250001, q1=4350000. -> client 1 q0: 4250001 LatSieveTime: 94 LatSieveTime: 96 LatSieveTime: 98 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 131 LatSieveTime: 132 LatSieveTime: 133 LatSieveTime: 137 -> makeJobFile(): Adjusted to q0=4350001, q1=4450000. -> client 1 q0: 4350001 LatSieveTime: 109 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 132 LatSieveTime: 137 LatSieveTime: 138 LatSieveTime: 139 LatSieveTime: 141 LatSieveTime: 141 Wed Jan 25 15:22:22 2023 Wed Jan 25 15:22:22 2023 Wed Jan 25 15:22:22 2023 Msieve v. 1.52 (SVN 927) Wed Jan 25 15:22:22 2023 random seeds: 820ce518 87caf273 Wed Jan 25 15:22:22 2023 factoring 221936666469194756823153036019062897753134264270193740382008984868449186945500735770111941790728711644355547641011787214511 (123 digits) Wed Jan 25 15:22:22 2023 searching for 15-digit factors Wed Jan 25 15:22:22 2023 commencing number field sieve (123-digit input) Wed Jan 25 15:22:22 2023 R0: -454847222507783573350497 Wed Jan 25 15:22:22 2023 R1: 16333495049053 Wed Jan 25 15:22:22 2023 A0: 301804094595074257305448469140 Wed Jan 25 15:22:22 2023 A1: -25067592832036851720183994 Wed Jan 25 15:22:22 2023 A2: 17399527984057137663 Wed Jan 25 15:22:22 2023 A3: 3225207494304328 Wed Jan 25 15:22:22 2023 A4: -2579089342 Wed Jan 25 15:22:22 2023 A5: 11400 Wed Jan 25 15:22:22 2023 skew 147040.39, size 7.690e-012, alpha -6.917, combined = 1.898e-010 rroots = 3 Wed Jan 25 15:22:22 2023 Wed Jan 25 15:22:22 2023 commencing relation filtering Wed Jan 25 15:22:22 2023 estimated available RAM is 65413.5 MB Wed Jan 25 15:22:22 2023 commencing duplicate removal, pass 1 Wed Jan 25 15:22:40 2023 found 1051610 hash collisions in 9053077 relations Wed Jan 25 15:22:51 2023 added 62142 free relations Wed Jan 25 15:22:51 2023 commencing duplicate removal, pass 2 Wed Jan 25 15:22:53 2023 found 652385 duplicates and 8462834 unique relations Wed Jan 25 15:22:53 2023 memory use: 41.3 MB Wed Jan 25 15:22:53 2023 reading ideals above 100000 Wed Jan 25 15:22:53 2023 commencing singleton removal, initial pass Wed Jan 25 15:23:25 2023 memory use: 188.3 MB Wed Jan 25 15:23:25 2023 reading all ideals from disk Wed Jan 25 15:23:25 2023 memory use: 301.4 MB Wed Jan 25 15:23:25 2023 keeping 10157810 ideals with weight <= 200, target excess is 43854 Wed Jan 25 15:23:26 2023 commencing in-memory singleton removal Wed Jan 25 15:23:26 2023 begin with 8462834 relations and 10157810 unique ideals Wed Jan 25 15:23:30 2023 reduce to 1594991 relations and 1858584 ideals in 38 passes Wed Jan 25 15:23:30 2023 max relations containing the same ideal: 63 Wed Jan 25 15:23:30 2023 filtering wants 1000000 more relations Wed Jan 25 15:23:30 2023 elapsed time 00:01:08 -> makeJobFile(): Adjusted to q0=4450001, q1=4550000. -> client 1 q0: 4450001 LatSieveTime: 96 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 129 LatSieveTime: 131 LatSieveTime: 133 LatSieveTime: 133 LatSieveTime: 139 Wed Jan 25 15:25:54 2023 Wed Jan 25 15:25:54 2023 Wed Jan 25 15:25:54 2023 Msieve v. 1.52 (SVN 927) Wed Jan 25 15:25:54 2023 random seeds: 772c4eb0 aae657cf Wed Jan 25 15:25:54 2023 factoring 221936666469194756823153036019062897753134264270193740382008984868449186945500735770111941790728711644355547641011787214511 (123 digits) Wed Jan 25 15:25:54 2023 searching for 15-digit factors Wed Jan 25 15:25:54 2023 commencing number field sieve (123-digit input) Wed Jan 25 15:25:54 2023 R0: -454847222507783573350497 Wed Jan 25 15:25:54 2023 R1: 16333495049053 Wed Jan 25 15:25:54 2023 A0: 301804094595074257305448469140 Wed Jan 25 15:25:54 2023 A1: -25067592832036851720183994 Wed Jan 25 15:25:54 2023 A2: 17399527984057137663 Wed Jan 25 15:25:54 2023 A3: 3225207494304328 Wed Jan 25 15:25:54 2023 A4: -2579089342 Wed Jan 25 15:25:54 2023 A5: 11400 Wed Jan 25 15:25:54 2023 skew 147040.39, size 7.690e-012, alpha -6.917, combined = 1.898e-010 rroots = 3 Wed Jan 25 15:25:54 2023 Wed Jan 25 15:25:54 2023 commencing relation filtering Wed Jan 25 15:25:54 2023 estimated available RAM is 65413.5 MB Wed Jan 25 15:25:54 2023 commencing duplicate removal, pass 1 Wed Jan 25 15:26:14 2023 found 1148713 hash collisions in 9567260 relations Wed Jan 25 15:26:24 2023 added 159 free relations Wed Jan 25 15:26:24 2023 commencing duplicate removal, pass 2 Wed Jan 25 15:26:27 2023 found 709599 duplicates and 8857820 unique relations Wed Jan 25 15:26:27 2023 memory use: 41.3 MB Wed Jan 25 15:26:27 2023 reading ideals above 100000 Wed Jan 25 15:26:27 2023 commencing singleton removal, initial pass Wed Jan 25 15:26:59 2023 memory use: 344.5 MB Wed Jan 25 15:26:59 2023 reading all ideals from disk Wed Jan 25 15:26:59 2023 memory use: 315.6 MB Wed Jan 25 15:27:00 2023 keeping 10352934 ideals with weight <= 200, target excess is 45973 Wed Jan 25 15:27:00 2023 commencing in-memory singleton removal Wed Jan 25 15:27:00 2023 begin with 8857820 relations and 10352934 unique ideals Wed Jan 25 15:27:05 2023 reduce to 2244580 relations and 2423514 ideals in 27 passes Wed Jan 25 15:27:05 2023 max relations containing the same ideal: 79 Wed Jan 25 15:27:05 2023 filtering wants 1000000 more relations Wed Jan 25 15:27:05 2023 elapsed time 00:01:11 -> makeJobFile(): Adjusted to q0=4550001, q1=4650000. -> client 1 q0: 4550001 LatSieveTime: 91 LatSieveTime: 98 LatSieveTime: 101 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 128 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 131 LatSieveTime: 132 LatSieveTime: 136 LatSieveTime: 142 LatSieveTime: 152 Wed Jan 25 15:29:41 2023 Wed Jan 25 15:29:41 2023 Wed Jan 25 15:29:41 2023 Msieve v. 1.52 (SVN 927) Wed Jan 25 15:29:41 2023 random seeds: 3e496864 b9228d9e Wed Jan 25 15:29:41 2023 factoring 221936666469194756823153036019062897753134264270193740382008984868449186945500735770111941790728711644355547641011787214511 (123 digits) Wed Jan 25 15:29:41 2023 searching for 15-digit factors Wed Jan 25 15:29:42 2023 commencing number field sieve (123-digit input) Wed Jan 25 15:29:42 2023 R0: -454847222507783573350497 Wed Jan 25 15:29:42 2023 R1: 16333495049053 Wed Jan 25 15:29:42 2023 A0: 301804094595074257305448469140 Wed Jan 25 15:29:42 2023 A1: -25067592832036851720183994 Wed Jan 25 15:29:42 2023 A2: 17399527984057137663 Wed Jan 25 15:29:42 2023 A3: 3225207494304328 Wed Jan 25 15:29:42 2023 A4: -2579089342 Wed Jan 25 15:29:42 2023 A5: 11400 Wed Jan 25 15:29:42 2023 skew 147040.39, size 7.690e-012, alpha -6.917, combined = 1.898e-010 rroots = 3 Wed Jan 25 15:29:42 2023 Wed Jan 25 15:29:42 2023 commencing relation filtering Wed Jan 25 15:29:42 2023 estimated available RAM is 65413.5 MB Wed Jan 25 15:29:42 2023 commencing duplicate removal, pass 1 Wed Jan 25 15:30:02 2023 found 1004292 hash collisions in 10021755 relations Wed Jan 25 15:30:13 2023 added 129 free relations Wed Jan 25 15:30:13 2023 commencing duplicate removal, pass 2 Wed Jan 25 15:30:16 2023 found 769109 duplicates and 9252775 unique relations Wed Jan 25 15:30:16 2023 memory use: 49.3 MB Wed Jan 25 15:30:16 2023 reading ideals above 100000 Wed Jan 25 15:30:16 2023 commencing singleton removal, initial pass Wed Jan 25 15:30:51 2023 memory use: 344.5 MB Wed Jan 25 15:30:51 2023 reading all ideals from disk Wed Jan 25 15:30:51 2023 memory use: 329.8 MB Wed Jan 25 15:30:51 2023 keeping 10538097 ideals with weight <= 200, target excess is 48158 Wed Jan 25 15:30:52 2023 commencing in-memory singleton removal Wed Jan 25 15:30:52 2023 begin with 9252775 relations and 10538097 unique ideals Wed Jan 25 15:30:56 2023 reduce to 2824144 relations and 2895510 ideals in 23 passes Wed Jan 25 15:30:56 2023 max relations containing the same ideal: 90 Wed Jan 25 15:30:57 2023 filtering wants 1000000 more relations Wed Jan 25 15:30:57 2023 elapsed time 00:01:16 -> makeJobFile(): Adjusted to q0=4650001, q1=4750000. -> client 1 q0: 4650001 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 132 LatSieveTime: 135 LatSieveTime: 135 LatSieveTime: 136 Wed Jan 25 15:33:17 2023 Wed Jan 25 15:33:17 2023 Wed Jan 25 15:33:17 2023 Msieve v. 1.52 (SVN 927) Wed Jan 25 15:33:17 2023 random seeds: c6392890 a0484569 Wed Jan 25 15:33:17 2023 factoring 221936666469194756823153036019062897753134264270193740382008984868449186945500735770111941790728711644355547641011787214511 (123 digits) Wed Jan 25 15:33:18 2023 searching for 15-digit factors Wed Jan 25 15:33:18 2023 commencing number field sieve (123-digit input) Wed Jan 25 15:33:18 2023 R0: -454847222507783573350497 Wed Jan 25 15:33:18 2023 R1: 16333495049053 Wed Jan 25 15:33:18 2023 A0: 301804094595074257305448469140 Wed Jan 25 15:33:18 2023 A1: -25067592832036851720183994 Wed Jan 25 15:33:18 2023 A2: 17399527984057137663 Wed Jan 25 15:33:18 2023 A3: 3225207494304328 Wed Jan 25 15:33:18 2023 A4: -2579089342 Wed Jan 25 15:33:18 2023 A5: 11400 Wed Jan 25 15:33:18 2023 skew 147040.39, size 7.690e-012, alpha -6.917, combined = 1.898e-010 rroots = 3 Wed Jan 25 15:33:18 2023 Wed Jan 25 15:33:18 2023 commencing relation filtering Wed Jan 25 15:33:18 2023 estimated available RAM is 65413.5 MB Wed Jan 25 15:33:18 2023 commencing duplicate removal, pass 1 Wed Jan 25 15:33:40 2023 found 1083135 hash collisions in 10473869 relations Wed Jan 25 15:33:50 2023 added 117 free relations Wed Jan 25 15:33:50 2023 commencing duplicate removal, pass 2 Wed Jan 25 15:33:53 2023 found 830156 duplicates and 9643830 unique relations Wed Jan 25 15:33:53 2023 memory use: 49.3 MB Wed Jan 25 15:33:53 2023 reading ideals above 100000 Wed Jan 25 15:33:53 2023 commencing singleton removal, initial pass Wed Jan 25 15:34:30 2023 memory use: 344.5 MB Wed Jan 25 15:34:30 2023 reading all ideals from disk Wed Jan 25 15:34:30 2023 memory use: 343.9 MB Wed Jan 25 15:34:30 2023 keeping 10711943 ideals with weight <= 200, target excess is 50254 Wed Jan 25 15:34:31 2023 commencing in-memory singleton removal Wed Jan 25 15:34:31 2023 begin with 9643830 relations and 10711943 unique ideals Wed Jan 25 15:34:36 2023 reduce to 3374222 relations and 3320079 ideals in 20 passes Wed Jan 25 15:34:36 2023 max relations containing the same ideal: 102 Wed Jan 25 15:34:36 2023 filtering wants 1000000 more relations Wed Jan 25 15:34:36 2023 elapsed time 00:01:19 -> makeJobFile(): Adjusted to q0=4750001, q1=4850000. -> client 1 q0: 4750001 LatSieveTime: 88 LatSieveTime: 98 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 108 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 131 LatSieveTime: 132 LatSieveTime: 134 LatSieveTime: 135 LatSieveTime: 138 LatSieveTime: 142 LatSieveTime: 144 LatSieveTime: 147 Wed Jan 25 15:37:08 2023 Wed Jan 25 15:37:08 2023 Wed Jan 25 15:37:08 2023 Msieve v. 1.52 (SVN 927) Wed Jan 25 15:37:08 2023 random seeds: 4cca8fc8 7177f7d3 Wed Jan 25 15:37:08 2023 factoring 221936666469194756823153036019062897753134264270193740382008984868449186945500735770111941790728711644355547641011787214511 (123 digits) Wed Jan 25 15:37:08 2023 searching for 15-digit factors Wed Jan 25 15:37:09 2023 commencing number field sieve (123-digit input) Wed Jan 25 15:37:09 2023 R0: -454847222507783573350497 Wed Jan 25 15:37:09 2023 R1: 16333495049053 Wed Jan 25 15:37:09 2023 A0: 301804094595074257305448469140 Wed Jan 25 15:37:09 2023 A1: -25067592832036851720183994 Wed Jan 25 15:37:09 2023 A2: 17399527984057137663 Wed Jan 25 15:37:09 2023 A3: 3225207494304328 Wed Jan 25 15:37:09 2023 A4: -2579089342 Wed Jan 25 15:37:09 2023 A5: 11400 Wed Jan 25 15:37:09 2023 skew 147040.39, size 7.690e-012, alpha -6.917, combined = 1.898e-010 rroots = 3 Wed Jan 25 15:37:09 2023 Wed Jan 25 15:37:09 2023 commencing relation filtering Wed Jan 25 15:37:09 2023 estimated available RAM is 65413.5 MB Wed Jan 25 15:37:09 2023 commencing duplicate removal, pass 1 Wed Jan 25 15:37:31 2023 found 1164330 hash collisions in 10929644 relations Wed Jan 25 15:37:41 2023 added 94 free relations Wed Jan 25 15:37:41 2023 commencing duplicate removal, pass 2 Wed Jan 25 15:37:45 2023 found 893159 duplicates and 10036579 unique relations Wed Jan 25 15:37:45 2023 memory use: 49.3 MB Wed Jan 25 15:37:45 2023 reading ideals above 720000 Wed Jan 25 15:37:45 2023 commencing singleton removal, initial pass Wed Jan 25 15:38:17 2023 memory use: 344.5 MB Wed Jan 25 15:38:17 2023 reading all ideals from disk Wed Jan 25 15:38:18 2023 memory use: 287.2 MB Wed Jan 25 15:38:18 2023 commencing in-memory singleton removal Wed Jan 25 15:38:18 2023 begin with 10036579 relations and 10815645 unique ideals Wed Jan 25 15:38:23 2023 reduce to 3915256 relations and 3655494 ideals in 20 passes Wed Jan 25 15:38:23 2023 max relations containing the same ideal: 73 Wed Jan 25 15:38:24 2023 removing 563720 relations and 500899 ideals in 62821 cliques Wed Jan 25 15:38:24 2023 commencing in-memory singleton removal Wed Jan 25 15:38:24 2023 begin with 3351536 relations and 3655494 unique ideals Wed Jan 25 15:38:25 2023 reduce to 3281803 relations and 3083312 ideals in 10 passes Wed Jan 25 15:38:25 2023 max relations containing the same ideal: 65 Wed Jan 25 15:38:26 2023 removing 420329 relations and 357508 ideals in 62821 cliques Wed Jan 25 15:38:26 2023 commencing in-memory singleton removal Wed Jan 25 15:38:26 2023 begin with 2861474 relations and 3083312 unique ideals Wed Jan 25 15:38:27 2023 reduce to 2813938 relations and 2677335 ideals in 10 passes Wed Jan 25 15:38:27 2023 max relations containing the same ideal: 61 Wed Jan 25 15:38:27 2023 relations with 0 large ideals: 503 Wed Jan 25 15:38:27 2023 relations with 1 large ideals: 3372 Wed Jan 25 15:38:27 2023 relations with 2 large ideals: 42839 Wed Jan 25 15:38:27 2023 relations with 3 large ideals: 220144 Wed Jan 25 15:38:27 2023 relations with 4 large ideals: 579653 Wed Jan 25 15:38:27 2023 relations with 5 large ideals: 842560 Wed Jan 25 15:38:27 2023 relations with 6 large ideals: 696635 Wed Jan 25 15:38:27 2023 relations with 7+ large ideals: 428232 Wed Jan 25 15:38:27 2023 commencing 2-way merge Wed Jan 25 15:38:28 2023 reduce to 1600301 relation sets and 1463698 unique ideals Wed Jan 25 15:38:28 2023 commencing full merge Wed Jan 25 15:38:44 2023 memory use: 161.8 MB Wed Jan 25 15:38:44 2023 found 792877 cycles, need 773898 Wed Jan 25 15:38:44 2023 weight of 773898 cycles is about 54417745 (70.32/cycle) Wed Jan 25 15:38:44 2023 distribution of cycle lengths: Wed Jan 25 15:38:44 2023 1 relations: 98171 Wed Jan 25 15:38:44 2023 2 relations: 89356 Wed Jan 25 15:38:44 2023 3 relations: 86890 Wed Jan 25 15:38:44 2023 4 relations: 77636 Wed Jan 25 15:38:44 2023 5 relations: 70386 Wed Jan 25 15:38:44 2023 6 relations: 59648 Wed Jan 25 15:38:44 2023 7 relations: 53208 Wed Jan 25 15:38:44 2023 8 relations: 45812 Wed Jan 25 15:38:44 2023 9 relations: 39330 Wed Jan 25 15:38:44 2023 10+ relations: 153461 Wed Jan 25 15:38:44 2023 heaviest cycle: 20 relations Wed Jan 25 15:38:44 2023 commencing cycle optimization Wed Jan 25 15:38:45 2023 start with 4590101 relations Wed Jan 25 15:38:50 2023 pruned 95318 relations Wed Jan 25 15:38:50 2023 memory use: 156.6 MB Wed Jan 25 15:38:50 2023 distribution of cycle lengths: Wed Jan 25 15:38:50 2023 1 relations: 98171 Wed Jan 25 15:38:50 2023 2 relations: 91300 Wed Jan 25 15:38:50 2023 3 relations: 89592 Wed Jan 25 15:38:50 2023 4 relations: 79289 Wed Jan 25 15:38:50 2023 5 relations: 71615 Wed Jan 25 15:38:50 2023 6 relations: 60241 Wed Jan 25 15:38:50 2023 7 relations: 53666 Wed Jan 25 15:38:50 2023 8 relations: 45742 Wed Jan 25 15:38:50 2023 9 relations: 39145 Wed Jan 25 15:38:50 2023 10+ relations: 145137 Wed Jan 25 15:38:50 2023 heaviest cycle: 20 relations Wed Jan 25 15:38:51 2023 RelProcTime: 102 Wed Jan 25 15:38:51 2023 elapsed time 00:01:43 Wed Jan 25 15:38:51 2023 Wed Jan 25 15:38:51 2023 Wed Jan 25 15:38:51 2023 Msieve v. 1.52 (SVN 927) Wed Jan 25 15:38:51 2023 random seeds: 937bf024 3c186e29 Wed Jan 25 15:38:51 2023 factoring 221936666469194756823153036019062897753134264270193740382008984868449186945500735770111941790728711644355547641011787214511 (123 digits) Wed Jan 25 15:38:51 2023 searching for 15-digit factors Wed Jan 25 15:38:51 2023 commencing number field sieve (123-digit input) Wed Jan 25 15:38:51 2023 R0: -454847222507783573350497 Wed Jan 25 15:38:51 2023 R1: 16333495049053 Wed Jan 25 15:38:51 2023 A0: 301804094595074257305448469140 Wed Jan 25 15:38:51 2023 A1: -25067592832036851720183994 Wed Jan 25 15:38:51 2023 A2: 17399527984057137663 Wed Jan 25 15:38:51 2023 A3: 3225207494304328 Wed Jan 25 15:38:51 2023 A4: -2579089342 Wed Jan 25 15:38:51 2023 A5: 11400 Wed Jan 25 15:38:51 2023 skew 147040.39, size 7.690e-012, alpha -6.917, combined = 1.898e-010 rroots = 3 Wed Jan 25 15:38:51 2023 Wed Jan 25 15:38:51 2023 commencing linear algebra Wed Jan 25 15:38:51 2023 read 773898 cycles Wed Jan 25 15:38:52 2023 cycles contain 2660879 unique relations Wed Jan 25 15:38:58 2023 read 2660879 relations Wed Jan 25 15:39:00 2023 using 20 quadratic characters above 134217080 Wed Jan 25 15:39:07 2023 building initial matrix Wed Jan 25 15:39:22 2023 memory use: 340.5 MB Wed Jan 25 15:39:22 2023 read 773898 cycles Wed Jan 25 15:39:23 2023 matrix is 773712 x 773898 (235.8 MB) with weight 74107764 (95.76/col) Wed Jan 25 15:39:23 2023 sparse part has weight 52538099 (67.89/col) Wed Jan 25 15:39:26 2023 filtering completed in 2 passes Wed Jan 25 15:39:26 2023 matrix is 770876 x 771062 (235.5 MB) with weight 73975479 (95.94/col) Wed Jan 25 15:39:26 2023 sparse part has weight 52489889 (68.07/col) Wed Jan 25 15:39:27 2023 matrix starts at (0, 0) Wed Jan 25 15:39:27 2023 matrix is 770876 x 771062 (235.5 MB) with weight 73975479 (95.94/col) Wed Jan 25 15:39:27 2023 sparse part has weight 52489889 (68.07/col) Wed Jan 25 15:39:27 2023 saving the first 48 matrix rows for later Wed Jan 25 15:39:28 2023 matrix includes 64 packed rows Wed Jan 25 15:39:28 2023 matrix is 770828 x 771062 (225.8 MB) with weight 59109208 (76.66/col) Wed Jan 25 15:39:28 2023 sparse part has weight 51474027 (66.76/col) Wed Jan 25 15:39:28 2023 using block size 8192 and superblock size 12582912 for processor cache size 131072 kB Wed Jan 25 15:39:30 2023 commencing Lanczos iteration (32 threads) Wed Jan 25 15:39:30 2023 memory use: 175.8 MB Wed Jan 25 15:39:32 2023 linear algebra at 0.4%, ETA 0h 8m Wed Jan 25 15:46:40 2023 lanczos halted after 12191 iterations (dim = 770827) Wed Jan 25 15:46:40 2023 recovered 29 nontrivial dependencies Wed Jan 25 15:46:40 2023 BLanczosTime: 469 Wed Jan 25 15:46:40 2023 elapsed time 00:07:49 Wed Jan 25 15:46:40 2023 Wed Jan 25 15:46:40 2023 Wed Jan 25 15:46:40 2023 Msieve v. 1.52 (SVN 927) Wed Jan 25 15:46:40 2023 random seeds: f5ab1960 b3a409a2 Wed Jan 25 15:46:40 2023 factoring 221936666469194756823153036019062897753134264270193740382008984868449186945500735770111941790728711644355547641011787214511 (123 digits) Wed Jan 25 15:46:41 2023 searching for 15-digit factors Wed Jan 25 15:46:41 2023 commencing number field sieve (123-digit input) Wed Jan 25 15:46:41 2023 R0: -454847222507783573350497 Wed Jan 25 15:46:41 2023 R1: 16333495049053 Wed Jan 25 15:46:41 2023 A0: 301804094595074257305448469140 Wed Jan 25 15:46:41 2023 A1: -25067592832036851720183994 Wed Jan 25 15:46:41 2023 A2: 17399527984057137663 Wed Jan 25 15:46:41 2023 A3: 3225207494304328 Wed Jan 25 15:46:41 2023 A4: -2579089342 Wed Jan 25 15:46:41 2023 A5: 11400 Wed Jan 25 15:46:41 2023 skew 147040.39, size 7.690e-012, alpha -6.917, combined = 1.898e-010 rroots = 3 Wed Jan 25 15:46:41 2023 Wed Jan 25 15:46:41 2023 commencing square root phase Wed Jan 25 15:46:41 2023 reading relations for dependency 1 Wed Jan 25 15:46:41 2023 read 385261 cycles Wed Jan 25 15:46:41 2023 cycles contain 1329402 unique relations Wed Jan 25 15:46:45 2023 read 1329402 relations Wed Jan 25 15:46:48 2023 multiplying 1329402 relations Wed Jan 25 15:47:18 2023 multiply complete, coefficients have about 59.72 million bits Wed Jan 25 15:47:18 2023 initial square root is modulo 374800133 Wed Jan 25 15:48:00 2023 sqrtTime: 79 Wed Jan 25 15:48:00 2023 prp43 factor: 1270927174609134990818418439097186766822991 Wed Jan 25 15:48:00 2023 prp81 factor: 174625793596277354947975639046670097409613616435794918119245975954323292434018721 Wed Jan 25 15:48:00 2023 elapsed time 00:01:20
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
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	January 21, 2023 13:19:20 UTC 2023 年 1 月 21 日 (土) 22 時 19 分 20 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	January 25, 2023 10:46:26 UTC 2023 年 1 月 25 日 (水) 19 時 46 分 26 秒 (日本時間)

74×10²³⁹+259

c220

composite cofactor 合成数の残り

4201844279281357216857077733347862882569390144001960913766020923838138600619040970726305682716945704997514263494310631970727473479979524971045923574949986748328267799586707089526087505612562457729093865828446462237112939<220>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 27, 2023 17:45:51 UTC 2023 年 1 月 28 日 (土) 2 時 45 分 51 秒 (日本時間)

74×10²⁴¹+259

c232

composite cofactor 合成数の残り

3605229898055933624505024635156455792228070493402693527985473641074668554519968735724024199739808585124723928896340041628086641738959811452546759313830483381986257932774152846394513734776805462255463898590054036624150072334534895681<232>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 27, 2023 23:08:52 UTC 2023 年 1 月 28 日 (土) 8 時 8 分 52 秒 (日本時間)

74×10²⁴²+259

c230

composite cofactor 合成数の残り

38860315291262145849535919783140195754782079408412461343434033602231180750958185465015217143843664076395387809649350045911450451595353297293639578409193927913107893978818486179721502295308587781994276906940035291877988681922210973<230>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 27, 2023 17:45:58 UTC 2023 年 1 月 28 日 (土) 2 時 45 分 58 秒 (日本時間)

74×10²⁴³+259

c228

composite cofactor 合成数の残り

564204452684097148893130193503272152075428852533306229054082779521412325116538266057669615885541831475819202160855968491826495052337285758215872925349640900393342273664285286984264066525248232682936300894629004790696324148094491<228>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 27, 2023 17:46:04 UTC 2023 年 1 月 28 日 (土) 2 時 46 分 4 秒 (日本時間)

74×10²⁴⁵+259

c180

composite cofactor 合成数の残り	110995342432769379620893074780178209055038654533517411466274756791820858379759424864704341169696895212130815935158370543346278697972187442050294169162848838873508018487918446197171<180>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	January 21, 2023 17:13:20 UTC 2023 年 1 月 22 日 (日) 2 時 13 分 20 秒 (日本時間)

74×10²⁴⁶+259

c237

composite cofactor 合成数の残り

220887839826569697642270592260789754709648454132120339282913046521960978688966802701405476945345618138600535690308789683313922668891246608379062588002046532104431866029687597155785997451148202255395631125249601458693504901581051032843193<237>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 27, 2023 23:08:33 UTC 2023 年 1 月 28 日 (土) 8 時 8 分 33 秒 (日本時間)

74×10²⁴⁸+259

c246

composite cofactor 合成数の残り

996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996633<246>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	2080		ebina	December 24, 2022 03:39:41 UTC 2022 年 12 月 24 日 (土) 12 時 39 分 41 秒 (日本時間)

74×10²⁴⁹+259

c229

composite cofactor 合成数の残り

4835915859717103226156131948132586348613925919529189132634094662394225874288245634248962462278988105068509684093740690949422864598023570914509701547636351755419484961936543730560878278043269013633618700764902149393106007796131799<229>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 27, 2023 17:46:11 UTC 2023 年 1 月 28 日 (土) 2 時 46 分 11 秒 (日本時間)

74×10²⁵⁰+259

c161

name 名前	Ignacio Santos
date 日付	December 31, 2022 12:42:44 UTC 2022 年 12 月 31 日 (土) 21 時 42 分 44 秒 (日本時間)
composite number 合成数	16093395929657720620915511499221939369166162334739499481209027335850841996134948828159725464108761690477020155126167041933194036587311003301849213117831571785583<161>
prime factors 素因数	148333544770079295917027707805761569531157<42> 108494649370126540111545314445240706445214063741951347216403776862191811290102279517385281096631841062525353885754024819<120>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2789335616 Step 1 took 23656ms Step 2 took 10047ms ********** Factor found in step 2: 148333544770079295917027707805761569531157 Found prime factor of 42 digits: 148333544770079295917027707805761569531157 Prime cofactor 108494649370126540111545314445240706445214063741951347216403776862191811290102279517385281096631841062525353885754024819 has 120 digits
software ソフトウェア	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	December 26, 2022 11:42:47 UTC 2022 年 12 月 26 日 (月) 20 時 42 分 47 秒 (日本時間)

74×10²⁵²+259

c236

composite cofactor 合成数の残り

27347336284902608950836533975320084096923305906379393522344514412372877730609225724026162648720634690163954936511871266567339723481384724452893871547313411990101188841436810616234039153047699246167079998958623491563887088181630901081557<236>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 27, 2023 23:08:42 UTC 2023 年 1 月 28 日 (土) 8 時 8 分 42 秒 (日本時間)

74×10²⁵⁴+259

c218

composite cofactor 合成数の残り

44501104414095408569476985216590238920580061925599721019426681718786802930086643754524928297804895767438882004526053830330996475222938826682045359526087947860930146241574824779295866385345682396909446093702656770078799<218>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 27, 2023 17:46:18 UTC 2023 年 1 月 28 日 (土) 2 時 46 分 18 秒 (日本時間)

74×10²⁵⁵+259

c254

composite cofactor 合成数の残り

46984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984127<254>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 19, 2023 11:08:00 UTC 2023 年 1 月 19 日 (木) 20 時 8 分 0 秒 (日本時間)

74×10²⁵⁶+259

c162

name 名前	Ignacio Santos
date 日付	December 26, 2022 12:38:45 UTC 2022 年 12 月 26 日 (月) 21 時 38 分 45 秒 (日本時間)
composite number 合成数	348349066994466685537965723694148303858744724979042889915302401570669634496343897233656873535510033064823822513126221096486865413035074013549956771689569029453967<162>
prime factors 素因数	42988035209712767588790124231174781<35> 8103395870387681379048664070351797216971097173178593320041934637286460250753870966095604326208048377598592422395710333644640507<127>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3775911812 Step 1 took 6407ms Step 2 took 3109ms ********** Factor found in step 2: 42988035209712767588790124231174781 Found prime factor of 35 digits: 42988035209712767588790124231174781 Prime cofactor 8103395870387681379048664070351797216971097173178593320041934637286460250753870966095604326208048377598592422395710333644640507 has 127 digits
software ソフトウェア	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

74×10²⁵⁷+259

c240

composite cofactor 合成数の残り

140751477720947125811391543022182049328079391406031708099365121723603140975387969294531764317241644688840582125900856097600547486852411812407355786761205978970025170954033539905463716647232961625574575979699594403169845295123683800507282001<240>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 27, 2023 23:10:10 UTC 2023 年 1 月 28 日 (土) 8 時 10 分 10 秒 (日本時間)

74×10²⁵⁸+259

c230

name 名前	Dmitry Domanov
date 日付	January 28, 2023 06:56:34 UTC 2023 年 1 月 28 日 (土) 15 時 56 分 34 秒 (日本時間)
composite number 合成数	12228740491841044545071099509655041720307508349220672219415965739465664339296094946082877476763963531376601318152078568050957132027419802635169194870118760131877910679225798629812932268350017475482455474815788355373091503646866371<230>
prime factors 素因数	9601528541804559009220372546550751149<37>
composite cofactor 合成数の残り	1273624344144553702538143670131439595954318025256450608168552770631683267297149201822527156767224336977253220549881358647434028974804296924023655865005647661919719833149239477205037822002034479<193>
factorization results 素因数分解の結果	Resuming ECM residue saved by @97849f6c45f4 with GMP-ECM 7.0.5-dev on Fri Jan 27 18:19:10 2023 Input number is 12228740491841044545071099509655041720307508349220672219415965739465664339296094946082877476763963531376601318152078568050957132027419802635169194870118760131877910679225798629812932268350017475482455474815788355373091503646866371 (230 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2994742674 Step 1 took 0ms Step 2 took 5680ms ********** Factor found in step 2: 9601528541804559009220372546550751149 Found prime factor of 37 digits: 9601528541804559009220372546550751149 Composite cofactor 1273624344144553702538143670131439595954318025256450608168552770631683267297149201822527156767224336977253220549881358647434028974804296924023655865005647661919719833149239477205037822002034479 has 193 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 27, 2023 17:46:25 UTC 2023 年 1 月 28 日 (土) 2 時 46 分 25 秒 (日本時間)

74×10²⁵⁹+259

c256

name 名前	Seth Troisi
date 日付	January 5, 2024 09:18:16 UTC 2024 年 1 月 5 日 (金) 18 時 18 分 16 秒 (日本時間)
composite number 合成数	2217726829999250767962838090956769311455757848205589270997227841462500936540046452386304038360680302689743013411253465198171873829324941934517119952049149621637821233235933168502285157713343822581853600059938562972952723458455083539372143552858320221772683<256>
prime factors 素因数	44703617474997421811467210323927540991231532253871<50> 49609560819985489793153723059995049447634378327322444455953748190465193976935928180802859199349352579458077566945168403098456210776442943300975775754333168979960536176343588390180323410284208809086987443173<206>
factorization results 素因数分解の結果	GMP-ECM 7.0.6-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-openmp] [ECM] Running on four Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Thu Nov 30 08:52:16 2023 Input number is 2217726829999250767962838090956769311455757848205589270997227841462500936540046452386304038360680302689743013411253465198171873829324941934517119952049149621637821233235933168502285157713343822581853600059938562972952723458455083539372143552858320221772683 (256 digits) Using mpz_mod Using lmax = 67108864 with NTT which takes about 23808MB of memory Using B1=10000000000-10000000000, B2=13494038602573560, polynomial x^1 P = 198843645, l = 67108864, s_1 = 33177600, k = s_2 = 2, m_1 = 20 Probability of finding a factor of n digits (assuming one exists): 20 25 30 35 40 45 50 55 60 65 0.82 0.56 0.31 0.14 0.057 0.02 0.0066 0.002 0.00053 0.00014 Step 1 took 0ms Computing F from factored S_1 took 573587ms (111197ms real) Computing h using 7 threads took 77586ms (12347ms real) Computing DCT-I of h (0) using 2147483647 threads took 164214ms (28363ms real) Multi-point evaluation 1 of 2: Computing g_i using 7 threads took 264957ms (42082ms real) Computing gh (A) using 2147483647 threads took 340432ms (56204ms real) Computing gcd of coefficients and N using 7 threads took 67386ms (9872ms real) Step 2 took 1491958ms (266396ms real) ********* Factor found in step 2: 44703617474997421811467210323927540991231532253871 Found prime factor of 50 digits: 44703617474997421811467210323927540991231532253871 Prime cofactor 49609560819985489793153723059995049447634378327322444455953748190465193976935928180802859199349352579458077566945168403098456210776442943300975775754333168979960536176343588390180323410284208809086987443173 has 206 digits Peak memory usage: 27053MB
software ソフトウェア	GMP-ECM 7.0.6, ecm-db 0.1
execution environment 実行環境	1080 Ti for PM1 stage1

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 19, 2023 11:07:53 UTC 2023 年 1 月 19 日 (木) 20 時 7 分 53 秒 (日本時間)

74×10²⁶¹+259

c255

composite cofactor 合成数の残り

888521473252651981447911779423343560335560940716106282777362033777624087576998940678284084929445091324098113182626883718054125966529756313980675258309101611735927816035231077119161235729249496529513171280224363679043230471963995669058170240113922861327313<255>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 19, 2023 11:07:45 UTC 2023 年 1 月 19 日 (木) 20 時 7 分 45 秒 (日本時間)

74×10²⁶³+259

c200

name 名前	Dmitry Domanov
date 日付	January 23, 2023 08:47:58 UTC 2023 年 1 月 23 日 (月) 17 時 47 分 58 秒 (日本時間)
composite number 合成数	20553605499230456148939408097937068951976764157423392731559545531380513670547267683617271885755458986576835857428246017117904033999443032569231768429666742927928287870453161679199797154209245886885613<200>
prime factors 素因数	15684801637839495300172205865232296469<38>
composite cofactor 合成数の残り	1310415392799421769659641278832155971670485509627769823463094287334510748011223987990058434815231470348620446548296870802106441355575110311091162824103815303667577<163>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1183288833 Step 1 took 11695ms Step 2 took 4916ms ********** Factor found in step 2: 15684801637839495300172205865232296469 Found prime factor of 38 digits: 15684801637839495300172205865232296469 Composite cofactor 1310415392799421769659641278832155971670485509627769823463094287334510748011223987990058434815231470348620446548296870802106441355575110311091162824103815303667577 has 163 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	January 21, 2023 17:13:27 UTC 2023 年 1 月 22 日 (日) 2 時 13 分 27 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	January 25, 2023 10:58:15 UTC 2023 年 1 月 25 日 (水) 19 時 58 分 15 秒 (日本時間)
45	11e6	4480		Ignacio Santos	January 25, 2023 11:56:12 UTC 2023 年 1 月 25 日 (水) 20 時 56 分 12 秒 (日本時間)

74×10²⁶⁵+259

c260

name 名前	Seth Troisi
date 日付	January 7, 2024 10:14:46 UTC 2024 年 1 月 7 日 (日) 19 時 14 分 46 秒 (日本時間)
composite number 合成数	15365982932338282114255427280745333231585608511093357171371720258127748421482682381498941252628699191676620812704760807191695309170325172231384708666673934361296826664963949639029181351303227427448940551815288426248213574703854421847105355096964024392459662997<260>
prime factors 素因数	49161039558071101850175906543573867385128497<44>
composite cofactor 合成数の残り	312564239293339847696449438656040692503968852234140405762045427928017451265976338043791982917820389578061967549808743241467449599540503724632784076682759099345506860798419637453008032851620751731096049909304024238501<216>
factorization results 素因数分解の結果	GMP-ECM 7.0.6-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-openmp] [ECM] Running on four Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Thu Nov 30 08:52:16 2023 Input number is 15365982932338282114255427280745333231585608511093357171371720258127748421482682381498941252628699191676620812704760807191695309170325172231384708666673934361296826664963949639029181351303227427448940551815288426248213574703854421847105355096964024392459662997 (260 digits) Using mpz_mod Using lmax = 67108864 with NTT which takes about 24576MB of memory Using B1=10000000000-10000000000, B2=13494038602573560, polynomial x^1 P = 198843645, l = 67108864, s_1 = 33177600, k = s_2 = 2, m_1 = 20 Probability of finding a factor of n digits (assuming one exists): 20 25 30 35 40 45 50 55 60 65 0.82 0.56 0.31 0.14 0.057 0.02 0.0066 0.002 0.00053 0.00014 Step 1 took 0ms Computing F from factored S_1 took 574677ms (113350ms real) Computing h using 7 threads took 80150ms (13108ms real) Computing DCT-I of h (0) using 2147483647 threads took 160391ms (26992ms real) Multi-point evaluation 1 of 2: Computing g_i using 7 threads took 271133ms (43455ms real) Computing gh (A) using 2147483647 threads took 320377ms (52335ms real) Computing gcd of coefficients and N using 7 threads took 69727ms (10296ms real) Step 2 took 1480103ms (265640ms real) ********* Factor found in step 2: 49161039558071101850175906543573867385128497 Found prime factor of 44 digits: 49161039558071101850175906543573867385128497 Composite cofactor 312564239293339847696449438656040692503968852234140405762045427928017451265976338043791982917820389578061967549808743241467449599540503724632784076682759099345506860798419637453008032851620751731096049909304024238501 has 216 digits Peak memory usage: 25007MB
software ソフトウェア	GMP-ECM 7.0.6, ecm-db 0.1
execution environment 実行環境	1080 Ti for PM1 stage1

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 19, 2023 11:07:38 UTC 2023 年 1 月 19 日 (木) 20 時 7 分 38 秒 (日本時間)

74×10²⁶⁷+259

c227

composite cofactor 合成数の残り

12526648120669967282082959522996352363903294658687684037144907926522007683653587612165278479789392942164685438735060199740459725083376858627073156645076316501344932827832587438971005201746791453834234654650338337629912862468911<227>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 27, 2023 17:46:33 UTC 2023 年 1 月 28 日 (土) 2 時 46 分 33 秒 (日本時間)

74×10²⁶⁸+259

c195

composite cofactor 合成数の残り	194537741590446008083431779631347056810708881415169049733517804808578606837182984454115626916486187497006822308737347787502943118315088566519330361587073610702826864569977883647804684232161218091<195>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	January 21, 2023 17:13:35 UTC 2023 年 1 月 22 日 (日) 2 時 13 分 35 秒 (日本時間)

74×10²⁷⁰+259

c236

composite cofactor 合成数の残り

44467497181779330390362883381398908067022924577959890385244177121879144515995815429653385457763645291292575146088705488740307237844157477410584810365013298779576556486074501230620087948161225190363039127573612299288107857211338523816941<236>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 27, 2023 23:10:22 UTC 2023 年 1 月 28 日 (土) 8 時 10 分 22 秒 (日本時間)

74×10²⁷¹+259

c249

composite cofactor 合成数の残り

181217362942026504410944431307836826373470611035196662115942026035455822258486450234058795074166212893708140919916839991785029914767622694017476577444063182106441659174319546358722207282987363612385633532526267589018360123366530953727410341889010967<249>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 27, 2023 23:10:29 UTC 2023 年 1 月 28 日 (土) 8 時 10 分 29 秒 (日本時間)

74×10²⁷²+259

c222

composite cofactor 合成数の残り

199654925007340030394230023488854177505197048399835349734653838238967081633863436486935383391783855371151863207960961724111495713728392552661996106765990395165084107540936008691122792727456531458859914306393719349906971939<222>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 27, 2023 17:46:40 UTC 2023 年 1 月 28 日 (土) 2 時 46 分 40 秒 (日本時間)

74×10²⁷³+259

c153

name 名前	Ignacio Santos
date 日付	December 25, 2022 12:43:57 UTC 2022 年 12 月 25 日 (日) 21 時 43 分 57 秒 (日本時間)
composite number 合成数	830041074597801234461650190091195770850144570402310550859078225545266335951837378647565253306325771056983865444700165243623766870908710740400542257305857<153>
prime factors 素因数	4904992178911402614188997241840367512199<40> 169223730501853265972618391670048077739268192241593715974975628112920144448047245959129313427573803048822471858743<114>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2372882691 Step 1 took 5578ms Step 2 took 2875ms ********** Factor found in step 2: 4904992178911402614188997241840367512199 Found prime factor of 40 digits: 4904992178911402614188997241840367512199 Prime cofactor 169223730501853265972618391670048077739268192241593715974975628112920144448047245959129313427573803048822471858743 has 114 digits
software ソフトウェア	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

74×10²⁷⁴+259

c247

name 名前	Dmitry Domanov
date 日付	January 29, 2023 10:08:36 UTC 2023 年 1 月 29 日 (日) 19 時 8 分 36 秒 (日本時間)
composite number 合成数	4517756668118152019156272271140385399070036110033240270873824479629279450671651697474896520189823425085281867466213730444698518315169198551442925147522718752747432917619668487831715295469725817005293321146740792158141035172306320800997521302961481<247>
prime factors 素因数	312062244957217053785807965012094587<36> 14477101094807303769261910465742896718842698120086803003450167639063594337372129351314772233959644981623339745674003135003257414067454922718080881770816913244664682914610240555546634409445259360100510647726807563<212>
factorization results 素因数分解の結果	GPU: factor 312062244957217053785807965012094587 found in Step 1 with curve 337 (-sigma 3:-1772209315) Computing 1792 Step 1 took 362ms of CPU time / 267971ms of GPU time Throughput: 6.687 curves per second (on average 149.54ms per Step 1) ********** Factor found in step 1: 312062244957217053785807965012094587 Found prime factor of 36 digits: 312062244957217053785807965012094587 Prime cofactor 14477101094807303769261910465742896718842698120086803003450167639063594337372129351314772233959644981623339745674003135003257414067454922718080881770816913244664682914610240555546634409445259360100510647726807563 has 212 digits Peak memory usage: 9428MB

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 27, 2023 23:10:37 UTC 2023 年 1 月 28 日 (土) 8 時 10 分 37 秒 (日本時間)

74×10²⁷⁵+259

c217

composite cofactor 合成数の残り

2531718395135071901383124679991554530952313891590358397232435863185795500980081042595869404345992119534708251984264626376648337358691545744045783110860538510862613137715783481376973831458330770700056666534320695628213<217>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 27, 2023 17:46:46 UTC 2023 年 1 月 28 日 (土) 2 時 46 分 46 秒 (日本時間)

74×10²⁷⁶+259

c219

name 名前	Dmitry Domanov
date 日付	January 29, 2023 10:07:37 UTC 2023 年 1 月 29 日 (日) 19 時 7 分 37 秒 (日本時間)
composite number 合成数	141219590423148066426956936697926745024653403611085329855092596038037254383257689339213936813479375154054290512519509140389107005748458863637720765289541418062286446923222571233344189225100621489446418219543910386269069<219>
prime factors 素因数	4725645961512241491102992499028086872331533<43> 29883658567167980996132455253364136368832818550951900939470296001856384034709721780490448598765788582875815944188719073907111492560072371360682048421433152838711896550572990593<176>
factorization results 素因数分解の結果	GPU: factor 4725645961512241491102992499028086872331533 found in Step 1 with curve 516 (-sigma 3:1647599560) Computing 1792 Step 1 took 235ms of CPU time / 175320ms of GPU time Throughput: 10.221 curves per second (on average 97.83ms per Step 1) ********** Factor found in step 1: 4725645961512241491102992499028086872331533 Found prime factor of 43 digits: 4725645961512241491102992499028086872331533 Prime cofactor 29883658567167980996132455253364136368832818550951900939470296001856384034709721780490448598765788582875815944188719073907111492560072371360682048421433152838711896550572990593 has 176 digits Peak memory usage: 9428MB

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 27, 2023 17:46:53 UTC 2023 年 1 月 28 日 (土) 2 時 46 分 53 秒 (日本時間)

74×10²⁷⁷+259

c255

name 名前	Dmitry Domanov
date 日付	January 20, 2023 16:05:04 UTC 2023 年 1 月 21 日 (土) 1 時 5 分 4 秒 (日本時間)
composite number 合成数	287225699237495105606049034370165312383420816367034967863038324068241335374618777992370065357714636505983135644441037619405230667513240254217453169739765993862711971678138425731034962077505154552328156036414753618128889973275155684293254039678110480454273<255>
prime factors 素因数	1184326064610029599184062966066107514539108569<46>
composite cofactor 合成数の残り	242522484153949356808626349878925389039390648547670291019534662245882789631737240866853209993282986101784540871374053323795732465986970341507450782933182994247733502539892655425989633922343939803510404266749417<210>
factorization results 素因数分解の結果	Resuming ECM residue saved by @f33d175c872d with GMP-ECM 7.0.5-dev on Thu Jan 19 12:41:17 2023 Input number is 287225699237495105606049034370165312383420816367034967863038324068241335374618777992370065357714636505983135644441037619405230667513240254217453169739765993862711971678138425731034962077505154552328156036414753618128889973275155684293254039678110480454273 (255 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4077904619 Step 1 took 0ms Step 2 took 5760ms ********** Factor found in step 2: 1184326064610029599184062966066107514539108569 Found prime factor of 46 digits: 1184326064610029599184062966066107514539108569 Composite cofactor 242522484153949356808626349878925389039390648547670291019534662245882789631737240866853209993282986101784540871374053323795732465986970341507450782933182994247733502539892655425989633922343939803510404266749417 has 210 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 19, 2023 11:07:30 UTC 2023 年 1 月 19 日 (木) 20 時 7 分 30 秒 (日本時間)

74×10²⁷⁸+259

c251

composite cofactor 合成数の残り

72505335581340840801862589631651832422776403065722686147520427386801723761235020868583413745528226265353532166099866021117788522769829130448501709222187084389078865067331634333443770951096453568806669580026108720957251965454357256051328659049298761609<251>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 19, 2023 11:07:23 UTC 2023 年 1 月 19 日 (木) 20 時 7 分 23 秒 (日本時間)

74×10²⁷⁹+259

c270

composite cofactor 合成数の残り

539439773195798577918992321604973929505411587727527853043704423213090019147558721686500482990225699940869874214959061508298693449769760899420209749058505786028000285886313422444187692617096905505217231951081405700933544757931868162168161124509182225270158996951791500709<270>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 13, 2023 12:35:13 UTC 2023 年 1 月 13 日 (金) 21 時 35 分 13 秒 (日本時間)

74×10²⁸⁰+259

c268

composite cofactor 合成数の残り

7222486202125026404770480841591782132013278290831350438636334066462012413978110888434199076143664207301071649638207618496754479842503544107509652942366138982298548514838081656398347076441221920116562793884903616372314560520668815822873183385336029767531337652237052089<268>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 19, 2023 11:07:15 UTC 2023 年 1 月 19 日 (木) 20 時 7 分 15 秒 (日本時間)

74×10²⁸¹+259

c232

composite cofactor 合成数の残り

1885013322787236287384160695266898050464479483547108168585149442539679758592954255275511330177676428428715048882786361337897306604239492066434737532400373412449683946828267977553040502873249904267512425326853381973992781621464667477<232>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 27, 2023 23:10:44 UTC 2023 年 1 月 28 日 (土) 8 時 10 分 44 秒 (日本時間)

74×10²⁸²+259

c259

name 名前	Dmitry Domanov
date 日付	January 20, 2023 08:27:10 UTC 2023 年 1 月 20 日 (金) 17 時 27 分 10 秒 (日本時間)
composite number 合成数	2655517706106413872224348566013180424591901380907669107835090161771314012089125130132640471136334638315789941570824457679362571116882140085659889903126512510141206761385993064505587160117311840175524674289306290574809474648777289599177510982653330534623145081<259>
prime factors 素因数	464232447229834592201412630800079488147747<42>
composite cofactor 合成数の残り	5720232874613580127867326920387499570959073216040132759771051646587409156335298226158502211682315141841348668765650017278698819708417295377695712904856850201177401564759703973971555582993999469315452147044104866892723<217>
factorization results 素因数分解の結果	Resuming ECM residue saved by @f33d175c872d with GMP-ECM 7.0.5-dev on Thu Jan 19 12:27:53 2023 Input number is 2655517706106413872224348566013180424591901380907669107835090161771314012089125130132640471136334638315789941570824457679362571116882140085659889903126512510141206761385993064505587160117311840175524674289306290574809474648777289599177510982653330534623145081 (259 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:104692728 Step 1 took 0ms Step 2 took 7961ms ********** Factor found in step 2: 464232447229834592201412630800079488147747 Found prime factor of 42 digits: 464232447229834592201412630800079488147747 Composite cofactor 5720232874613580127867326920387499570959073216040132759771051646587409156335298226158502211682315141841348668765650017278698819708417295377695712904856850201177401564759703973971555582993999469315452147044104866892723 has 217 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 19, 2023 11:07:08 UTC 2023 年 1 月 19 日 (木) 20 時 7 分 8 秒 (日本時間)

74×10²⁸³+259

c278

composite cofactor 合成数の残り

52839498238980911731261168145637081903007388604162538580866746282937661887905288769642994214431966468340036452113312161831674065981538307743664169286327601318845314154023567130261858986374192903441172322813631876498383575484614958933356182846085325078946851676315230449831931123<278>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 13, 2023 12:35:20 UTC 2023 年 1 月 13 日 (金) 21 時 35 分 20 秒 (日本時間)

74×10²⁸⁵+259

c262

composite cofactor 合成数の残り

1394360444329947540806414271624680293278811506833783931415382893914424334796550148095095380797929974170344631449787567853397391532249658400850581956707946167027156878585876348561208963876172670178836178730591830077399821075093920971054832359604583422096720217251<262>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 19, 2023 11:07:00 UTC 2023 年 1 月 19 日 (木) 20 時 7 分 0 秒 (日本時間)

74×10²⁸⁷+259

c251

composite cofactor 合成数の残り

20280237390868620404895062473604547292883910185991110295939613682265289764525412060093307233461183684683232414345181833079641617932167123342482950747638960759363898330269347385345029359894238834292549169350478788499729194781689630201622895539922254997<251>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 19, 2023 11:06:51 UTC 2023 年 1 月 19 日 (木) 20 時 6 分 51 秒 (日本時間)

74×10²⁸⁸+259

c259

composite cofactor 合成数の残り

5242533052192748058169862538988831616772162225390141955852805756725796399802707053210969849593104877116460754646786505201788337909417085412557367651156112771716093079727198162657044056301311573390152814126194522868219346469979491128767035365161531344257355391<259>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 19, 2023 11:06:44 UTC 2023 年 1 月 19 日 (木) 20 時 6 分 44 秒 (日本時間)

74×10²⁸⁹+259

c270

composite cofactor 合成数の残り

412428947417869834682360778950415457735226605185176165099930671541861157471841281225704522662632919116364925898459557207286680935217850314865888514657075628659776856795611385885303970395852480191579331454113875626061580899310128798025575514890030266999355641459611703533<270>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 13, 2023 12:35:28 UTC 2023 年 1 月 13 日 (金) 21 時 35 分 28 秒 (日本時間)

74×10²⁹⁰+259

c236

composite cofactor 合成数の残り

15575596552718114999739017343822708327677340294831486319135602883208389179999473787383266213641980676586970821674955415645054272166479686919795581410964213297258684755512891179923542635387814624791264362411897511085583741131287882021439<236>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 27, 2023 23:10:51 UTC 2023 年 1 月 28 日 (土) 8 時 10 分 51 秒 (日本時間)

74×10²⁹²+259

c287

composite cofactor 合成数の残り

12855910005155393640580896030868082293459599217005589280603254890566237687534501396994409850754177193528786597540091111918948699272902738525991740077821687659585926774300167257126452207503073908887212408732811192285759082852431091670890441153157754611080491460592075460717159990497050307<287>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 13, 2023 12:35:37 UTC 2023 年 1 月 13 日 (金) 21 時 35 分 37 秒 (日本時間)

74×10²⁹³+259

c266

composite cofactor 合成数の残り

96470668941396195875813316493674962112010887646225286984414528160052435395887863410040212580342543301378884531523186053926744053444045763043484167805219067703045035411975094381139498935866631149072669376316996453226475771940739717980838822695329535394013534825673179<266>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 19, 2023 11:06:37 UTC 2023 年 1 月 19 日 (木) 20 時 6 分 37 秒 (日本時間)

74×10²⁹⁴+259

c255

composite cofactor 合成数の残り

105097481119039158635715469421940086552633612881510012163564774621146975716793181465249006123953446977858968554289263411350101729311633320189077110056290261708939513371034827739198439691506959874093596625058960324968712820242025238515133068729149000379969<255>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

74×10²⁹⁵+259

c269

composite cofactor 合成数の残り

11707122279237228425670088567535448032934438057407482358453249363374091503054883153210995127013402643044284006161807309374026213449968796262346704117683300105939260316830464059575450574201820569239638968445779598433505202381317148211815096060317259410183711602759781037<269>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 19, 2023 11:06:29 UTC 2023 年 1 月 19 日 (木) 20 時 6 分 29 秒 (日本時間)

74×10²⁹⁶+259

c261

composite cofactor 合成数の残り

700147658652110239582415160002126294074323667687548761249711140447691418426560526889458801608012124289017664465321649705830364635377032305101805188641535284292258550567373271016974360870536882531895186455375453261095846330793681206795219701351609914892034625131<261>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	January 19, 2023 11:06:15 UTC 2023 年 1 月 19 日 (木) 20 時 6 分 15 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	January 21, 2023 07:49:45 UTC 2023 年 1 月 21 日 (土) 16 時 49 分 45 秒 (日本時間)

74×10²⁹⁹+259

c234

composite cofactor 合成数の残り

124124436524824045401995430191514235636306459977763259301841929380061029823919136102565498150998987918097049321442290494994633136175287837299853695325678011990180174364419222363453626470754023882107117840832909326867948443173235578687<234>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	January 27, 2023 23:10:59 UTC 2023 年 1 月 28 日 (土) 8 時 10 分 59 秒 (日本時間)