Contributed factorization results of 99...992

Table of contents 目次

10²⁰²-8
- c164
- ECM
10²⁰⁸-8
- c193
- ECM
10²⁰⁹-8
- c177
- ECM
10²¹¹-8
- c181
- ECM
10²¹²-8
- c156
- ECM
10²¹⁵-8
- c211
- ECM
10²¹⁷-8
- c190
- ECM
10²¹⁸-8
- c147
- ECM
10²²³-8
- c203
- ECM
10²²⁴-8
- c202
- ECM
10²²⁶-8
- c149
- ECM
10²²⁹-8
- c193
- ECM
10²³³-8
- c209
- ECM
10²³⁵-8
- c189
- ECM
10²³⁸-8
- c218
- ECM
10²⁴¹-8
- c219
- ECM
10²⁴⁴-8
- c174
- ECM
10²⁴⁵-8
- c211
- ECM
10²⁴⁷-8
- c206
- ECM
10²⁵⁰-8
- c222
- ECM
10²⁵³-8
- c177
- ECM
10²⁵⁴-8
- c230
- ECM
10²⁵⁶-8
- c210
- ECM
10²⁵⁷-8
- c173
- ECM
10²⁵⁹-8
- c189
- ECM
10²⁶⁰-8
- c242
- ECM
10²⁶³-8
- c258
- ECM
10²⁶⁴-8
- c172
- ECM
10²⁶⁵-8
- c204
- ECM
10²⁶⁶-8
- c246
- ECM
10²⁶⁸-8
- c155
- ECM
10²⁶⁹-8
- c182
- ECM
10²⁷⁰-8
- c163
- ECM
10²⁷²-8
- c241
- ECM
10²⁷⁴-8
- c241
- ECM
10²⁷⁵-8
- c253
- ECM
10²⁷⁷-8
- c241
- ECM
10²⁷⁸-8
- c235
- ECM
10²⁷⁹-8
- c175
- ECM
10²⁸²-8
- c179
- ECM
10²⁸³-8
- c268
- ECM
10²⁸⁴-8
- c267
- ECM
10²⁸⁶-8
- c241
- ECM
10²⁸⁷-8
- c256
- ECM
10²⁸⁸-8
- c191
- ECM
10²⁸⁹-8
- c256
- ECM
10²⁹⁰-8
- c254
- c219
- ECM
10²⁹⁵-8
- c295
- ECM
10²⁹⁶-8
- c256
- ECM
10²⁹⁸-8
- c296
- ECM

10²⁰²-8

c164

name 名前	Eric Jeancolas
date 日付	August 1, 2020 00:07:38 UTC 2020 年 8 月 1 日 (土) 9 時 7 分 38 秒 (日本時間)
composite number 合成数	20660159175444409155518980569873569966365513545571051401815816974542605836141727169160639991007192614094208909407920728442145140009592717067207993762496247602590991<164>
prime factors 素因数	133230108586902642167275830725628370086373017525877879<54> 155071247742534924097254548890203990506076899464322969734907341840382499595891219712988439814271088189520767529<111>
factorization results 素因数分解の結果	20660159175444409155518980569873569966365513545571051401815816974542605836141727169160639991007192614094208909407920728442145140009592717067207993762496247602590991=133230108586902642167275830725628370086373017525877879155071247742534924097254548890203990506076899464322969734907341840382499595891219712988439814271088189520767529 n: 20660159175444409155518980569873569966365513545571051401815816974542605836141727169160639991007192614094208909407920728442145140009592717067207993762496247602590991 skew: 0.60 type: snfs c0: -2 c5: 25 Y0: 10000000000000000000000000000000000000000 Y1: -1 # f(x) = 25x^5-2 # g(x) = -x+10000000000000000000000000000000000000000 Info:Square Root: Factors: 155071247742534924097254548890203990506076899464322969734907341840382499595891219712988439814271088189520767529 133230108586902642167275830725628370086373017525877879 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: 6.78/2.65693 Info:Generate Free Relations: Total cpu/real time for freerel: 202.8/52.4378 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 46488246 Info:Lattice Sieving: Average J: 1894.63 for 3558205 special-q, max bucket fill -bkmult 1.0,1s:1.071190 Info:Lattice Sieving: Total time: 1.0458e+06s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 93.9/111.844 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 111.6s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 748.94/455.906 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 398.2s Info:Filtering - Singleton removal: Total cpu/real time for purge: 551.3/331.193 Info:Filtering - Merging: Total cpu/real time for merge: 472.62/136.656 Info:Filtering - Merging: Total cpu/real time for replay: 129.8/113.356 Info:Linear Algebra: Total cpu/real time for bwc: 191811/49336.4 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 31557.95, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (101376 iterations) Info:Linear Algebra: Lingen CPU time 677.27, WCT time 195.46 Info:Linear Algebra: Mksol: WCT time 17159.98, iteration CPU time 0.32, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50688 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 120.63/50.7247 Info:Square Root: Total cpu/real time for sqrt: 915.81/292.671 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.0687e+06/176791 Info:root: Cleaning up computation data in /tmp/cado.azruyt13 155071247742534924097254548890203990506076899464322969734907341840382499595891219712988439814271088189520767529 133230108586902642167275830725628370086373017525877879
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic\|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 23, 2020 08:33:35 UTC 2020 年 7 月 23 日 (木) 17 時 33 分 35 秒 (日本時間)
25	5e4	74	Eric Jeancolas	July 23, 2020 08:34:16 UTC 2020 年 7 月 23 日 (木) 17 時 34 分 16 秒 (日本時間)
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 23, 2020 08:34:16 UTC 2020 年 7 月 23 日 (木) 17 時 34 分 16 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 23, 2020 08:35:06 UTC 2020 年 7 月 23 日 (木) 17 時 35 分 6 秒 (日本時間)

10²⁰⁸-8

c193

name 名前	Bob Backstrom
date 日付	June 29, 2021 12:56:35 UTC 2021 年 6 月 29 日 (火) 21 時 56 分 35 秒 (日本時間)
composite number 合成数	2263097614073463673494693798323992391468324137848326170048482427659599105787532496286563454472539598856184507433760123589775549120374775946191996133326735621803956642369572885538468823776468039<193>
prime factors 素因数	969668987302618259389633650252176270855878545878229351264740097095993<69> 2333886763119904672816809412097409067079350350263462000562635132000019090203378134043798347656775411995344761828753861591423<124>
factorization results 素因数分解の結果	Number: n N=2263097614073463673494693798323992391468324137848326170048482427659599105787532496286563454472539598856184507433760123589775549120374775946191996133326735621803956642369572885538468823776468039 ( 193 digits) SNFS difficulty: 207 digits. Divisors found: Tue Jun 29 22:49:02 2021 p69 factor: 969668987302618259389633650252176270855878545878229351264740097095993 Tue Jun 29 22:49:02 2021 p124 factor: 2333886763119904672816809412097409067079350350263462000562635132000019090203378134043798347656775411995344761828753861591423 Tue Jun 29 22:49:02 2021 elapsed time 02:00:49 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.355). Factorization parameters were as follows: # # N = 10^208-8 = 9(207)2 # n: 2263097614073463673494693798323992391468324137848326170048482427659599105787532496286563454472539598856184507433760123589775549120374775946191996133326735621803956642369572885538468823776468039 m: 100000000000000000000000000000000000000000 deg: 5 c5: 125 c0: -1 skew: 0.38 # Murphy_E = 9.399e-12 type: snfs lss: 1 rlim: 19800000 alim: 19800000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 19800000/19800000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved special-q in [100000, 45800000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 8328094 hash collisions in 60804212 relations (54906935 unique) Msieve: matrix is 2284231 x 2284458 (792.4 MB) Sieving start time : 2021/06/29 03:21:21 Sieving end time : 2021/06/29 20:46:08 Total sieving time: 17hrs 24min 47secs. Total relation processing time: 1hrs 39min 54sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 5min 35sec. Prototype def-par.txt line would be: snfs,207,5,0,0,0,0,0,0,0,0,19800000,19800000,29,29,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.117292] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved) [ 0.153499] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.03 BogoMIPS (lpj=12798064) [ 0.152047] smpboot: Total of 16 processors activated (102384.51 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 23, 2020 08:58:31 UTC 2020 年 7 月 23 日 (木) 17 時 58 分 31 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 23, 2020 08:58:58 UTC 2020 年 7 月 23 日 (木) 17 時 58 分 58 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 23, 2020 08:59:23 UTC 2020 年 7 月 23 日 (木) 17 時 59 分 23 秒 (日本時間)

10²⁰⁹-8

c177

name 名前	Jo Yeong Uk
date 日付	October 28, 2020 14:07:13 UTC 2020 年 10 月 28 日 (水) 23 時 7 分 13 秒 (日本時間)
composite number 合成数	467934865482689403973981669294868695866171746051912408571608969369589175586351118414526745087690898724009306336845016665931347527211443593638745999399838047497244807831455184559<177>
prime factors 素因数	172657799400370127934349369393843368465328339<45> 42824251960017965713229312085187588428281721571212069029<56> 63286258150644737734872344483953930638458808865847191701150932238824276324689<77>
factorization results 素因数分解の結果	GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 467934865482689403973981669294868695866171746051912408571608969369589175586351118414526745087690898724009306336845016665931347527211443593638745999399838047497244807831455184559 (177 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4827970819 Step 1 took 35015ms ********** Factor found in step 1: 172657799400370127934349369393843368465328339 Found probable prime factor of 45 digits: 172657799400370127934349369393843368465328339 Composite cofactor 2710186664649950867971583656560108647928932038518537388244585753680656715194469288600840628054966346475427085800353751548223484956981 has 133 digits Number: 99992_209 N=2710186664649950867971583656560108647928932038518537388244585753680656715194469288600840628054966346475427085800353751548223484956981 ( 133 digits) Divisors found: r1=42824251960017965713229312085187588428281721571212069029 r2=63286258150644737734872344483953930638458808865847191701150932238824276324689 Version: Total time: 101.11 hours. Scaled time: 530.61 units (timescale=5.248). Factorization parameters were as follows: name: 99992_209 n: 2710186664649950867971583656560108647928932038518537388244585753680656715194469288600840628054966346475427085800353751548223484956981 skew: 190515.55 # norm 3.93e+18 c5: 537720 c4: 357390744728 c3: -51777906670051394 c2: -8045525973150173417917 c1: 756696525876590788310955804 c0: 45031664678461769467300479647859 # alpha -6.78 Y1: 44353809977059 Y0: -21902237596839240959553010 # Murphy_E 5.39e-11 # M 939997294976223818107536532036748442628198271877960915946579524599192747589472552622397337372093423296693531250057862166495426750725 type: gnfs rlim: 9000000 alim: 9000000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 9000000/9000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved algebraic special-q in [4500000, 7900001) Primes: rational ideals reading, algebraic ideals reading, Relations: 20215706 Max relations in full relation-set: Initial matrix: Pruned matrix : 1548200 x 1548448 Polynomial selection time: 17.03 hours. Total sieving time: 79.03 hours. Total relation processing time: 1.75 hours. Matrix solve time: 2.93 hours. Time per square root: 0.37 hours. Prototype def-par.txt line would be: gnfs,132,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,9000000,9000000,28,28,55,55,2.6,2.6,100000 total time: 101.11 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49367540k/51380224k available (5548k kernel code, 1086464k absent, 926220k reserved, 6882k data, 1352k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.05 BogoMIPS (lpj=3400026) Total of 12 processors activated (81600.62 BogoMIPS).
software ソフトウェア	GMP-ECM v6.4.4 / GGNFS / Msieve v1.39
execution environment 実行環境	Core i7-4930K

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 23, 2020 09:00:17 UTC 2020 年 7 月 23 日 (木) 18 時 0 分 17 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 23, 2020 09:00:49 UTC 2020 年 7 月 23 日 (木) 18 時 0 分 49 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 23, 2020 09:01:19 UTC 2020 年 7 月 23 日 (木) 18 時 1 分 19 秒 (日本時間)

10²¹¹-8

c181

name 名前	ebina
date 日付	September 14, 2021 23:28:01 UTC 2021 年 9 月 15 日 (水) 8 時 28 分 1 秒 (日本時間)
composite number 合成数	3565612953412387662702059096840731501586051033949260327667539005738410138163245102099300817809677720561320033809379269684665566259776542478440783515854480177851850127566253809513519<181>
prime factors 素因数	7730444741528178178490097615701230682051723635574921489171<58> 40725304285202379035080787830790888571062464692018280536469<59> 11325708531732703925702073631696079848456953825103921766731859681<65>
factorization results 素因数分解の結果	Number: 1025 N=3565612953412387662702059096840731501586051033949260327667539005738410138163245102099300817809677720561320033809379269684665566259776542478440783515854480177851850127566253809513519 ( 181 digits) SNFS difficulty: 210 digits. Divisors found: Version: Msieve v. 1.53 (SVN unknown) Total time: 557.11 hours. Scaled time: 2413.97 units (timescale=4.333). Factorization parameters were as follows: n: 3565612953412387662702059096840731501586051033949260327667539005738410138163245102099300817809677720561320033809379269684665566259776542478440783515854480177851850127566253809513519 m: 1000000000000000000000000000000000000000000 c5: 5 c0: -4 type: snfs Factor base limits: 22700000/22700000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 58/58 Sieved rational special-q in [11350000, 24050001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 3751121 x 3751345 Total sieving time: 531.64 hours. Total relation processing time: 0.45 hours. Matrix solve time: 24.62 hours. Time per square root: 0.40 hours. Prototype def-par.txt line would be: snfs,210.000,5,0,0,0,0,0,0,0,0,22700000,22700000,29,29,58,58,2.6,2.6,100000 total time: 557.11 hours. --------- CPU info (if available) ---------- Sun Dec 18 01:18:33 2016 Msieve v. 1.53 (SVN unknown) Sun Dec 18 01:18:33 2016 random seeds: 290e5920 54590389 Sun Dec 18 01:18:33 2016 factoring 3565612953412387662702059096840731501586051033949260327667539005738410138163245102099300817809677720561320033809379269684665566259776542478440783515854480177851850127566253809513519 (181 digits) Sun Dec 18 01:18:34 2016 searching for 15-digit factors Sun Dec 18 01:18:35 2016 commencing number field sieve (181-digit input) Sun Dec 18 01:18:35 2016 R0: -1000000000000000000000000000000000000000000 Sun Dec 18 01:18:35 2016 R1: 1 Sun Dec 18 01:18:35 2016 A0: -4 Sun Dec 18 01:18:35 2016 A1: 0 Sun Dec 18 01:18:35 2016 A2: 0 Sun Dec 18 01:18:35 2016 A3: 0 Sun Dec 18 01:18:35 2016 A4: 0 Sun Dec 18 01:18:35 2016 A5: 5 Sun Dec 18 01:18:35 2016 skew 0.96, size 2.177e-14, alpha 0.512, combined = 7.189e-12 rroots = 1 Sun Dec 18 01:18:35 2016 Sun Dec 18 01:18:35 2016 commencing square root phase Sun Dec 18 01:18:35 2016 reading relations for dependency 1 Sun Dec 18 01:18:36 2016 read 1875436 cycles Sun Dec 18 01:18:39 2016 cycles contain 6042774 unique relations Sun Dec 18 01:19:40 2016 read 6042774 relations Sun Dec 18 01:20:07 2016 multiplying 6042774 relations Sun Dec 18 01:23:01 2016 multiply complete, coefficients have about 159.00 million bits Sun Dec 18 01:23:02 2016 initial square root is modulo 508531 Sun Dec 18 01:26:35 2016 found factor: 7730444741528178178490097615701230682051723635574921489171 Sun Dec 18 01:26:35 2016 reading relations for dependency 2 Sun Dec 18 01:26:35 2016 read 1877164 cycles Sun Dec 18 01:26:38 2016 cycles contain 6045134 unique relations Sun Dec 18 01:27:39 2016 read 6045134 relations Sun Dec 18 01:28:07 2016 multiplying 6045134 relations Sun Dec 18 01:30:58 2016 multiply complete, coefficients have about 159.06 million bits Sun Dec 18 01:30:59 2016 initial square root is modulo 510931 Sun Dec 18 01:34:32 2016 GCD is N, no factor found Sun Dec 18 01:34:32 2016 reading relations for dependency 3 Sun Dec 18 01:34:33 2016 read 1875881 cycles Sun Dec 18 01:34:36 2016 cycles contain 6042698 unique relations Sun Dec 18 01:35:36 2016 read 6042698 relations Sun Dec 18 01:36:04 2016 multiplying 6042698 relations Sun Dec 18 01:38:55 2016 multiply complete, coefficients have about 159.00 million bits Sun Dec 18 01:38:56 2016 initial square root is modulo 508451 Sun Dec 18 01:42:28 2016 sqrtTime: 1433 Sun Dec 18 01:42:28 2016 p58 factor: 7730444741528178178490097615701230682051723635574921489171 Sun Dec 18 01:42:28 2016 p59 factor: 40725304285202379035080787830790888571062464692018280536469 Sun Dec 18 01:42:28 2016 p65 factor: 11325708531732703925702073631696079848456953825103921766731859681 Sun Dec 18 01:42:28 2016 elapsed time 00:23:55

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 23, 2020 09:01:58 UTC 2020 年 7 月 23 日 (木) 18 時 1 分 58 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 23, 2020 09:02:28 UTC 2020 年 7 月 23 日 (木) 18 時 2 分 28 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 23, 2020 09:03:00 UTC 2020 年 7 月 23 日 (木) 18 時 3 分 0 秒 (日本時間)

10²¹²-8

c156

composite cofactor 合成数の残り	430201723402201059792292094146632777083503443491893542804208594591189004473524876053200981306079509647383060508971397230070659097812373336315498610293274153<156>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 23, 2020 09:03:38 UTC 2020 年 7 月 23 日 (木) 18 時 3 分 38 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 23, 2020 09:04:03 UTC 2020 年 7 月 23 日 (木) 18 時 4 分 3 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 23, 2020 09:04:56 UTC 2020 年 7 月 23 日 (木) 18 時 4 分 56 秒 (日本時間)

10²¹⁵-8

c211

name 名前	Bob Backstrom
date 日付	August 9, 2020 01:27:07 UTC 2020 年 8 月 9 日 (日) 10 時 27 分 7 秒 (日本時間)
composite number 合成数	4341785342132684960055574852379298367488711358110455019103855505383813824244529350468912816950329975686002084056964223688780826675929142063216394581451893018409169850642584230635637374088225078152136158388329281<211>
prime factors 素因数	79119273786678006657504194989369553766900970315635105604935642398969882012557986662710055579251319<98> 54876455942189761867824312850363876273929306609381780847877081529946836030690522021616165448283907709464641787399<113>
factorization results 素因数分解の結果	Number: n N=4341785342132684960055574852379298367488711358110455019103855505383813824244529350468912816950329975686002084056964223688780826675929142063216394581451893018409169850642584230635637374088225078152136158388329281 ( 211 digits) SNFS difficulty: 215 digits. Divisors found: Sun Aug 9 11:17:39 2020 p98 factor: 79119273786678006657504194989369553766900970315635105604935642398969882012557986662710055579251319 Sun Aug 9 11:17:39 2020 p113 factor: 54876455942189761867824312850363876273929306609381780847877081529946836030690522021616165448283907709464641787399 Sun Aug 9 11:17:39 2020 elapsed time 04:55:10 (Msieve 1.54 - dependency 8) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.124). Factorization parameters were as follows: # # N = 10^215-8 = 9(214)2 # n: 4341785342132684960055574852379298367488711358110455019103855505383813824244529350468912816950329975686002084056964223688780826675929142063216394581451893018409169850642584230635637374088225078152136158388329281 m: 10000000000000000000000000000000000000000000 deg: 5 c5: 1 c0: -8 skew: 1.52 # Murphy_E = 4.6e-12 type: snfs lss: 1 rlim: 27000000 alim: 27000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 Factor base limits: 27000000/27000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 57/57 Sieved special-q in [100000, 53500000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 8354244 hash collisions in 58193824 relations (51992612 unique) Msieve: matrix is 3196488 x 3196713 (1114.4 MB) Sieving start time: 2020/08/08 08:56:05 Sieving end time : 2020/08/09 06:21:35 Total sieving time: 21hrs 25min 30secs. Total relation processing time: 4hrs 5min 44sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 31min 22sec. Prototype def-par.txt line would be: snfs,215,5,0,0,0,0,0,0,0,0,27000000,27000000,29,29,57,57,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.154206] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16283136K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420324K reserved, 0K cma-reserved) [ 0.188728] x86/mm: Memory block size: 128MB [ 0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.50 BogoMIPS (lpj=11977004) [ 0.186225] smpboot: Total of 16 processors activated (95816.03 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 10:52:06 UTC 2020 年 7 月 24 日 (金) 19 時 52 分 6 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 10:52:36 UTC 2020 年 7 月 24 日 (金) 19 時 52 分 36 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 24, 2020 10:52:58 UTC 2020 年 7 月 24 日 (金) 19 時 52 分 58 秒 (日本時間)

10²¹⁷-8

c190

composite cofactor 合成数の残り	6651816503823815820291523235122155960102373425973514761308478304155066258374737997867348695815959433469218577131073958673020603078936573339243324143877990991839938437326038756560170627309181<190>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 10:53:24 UTC 2020 年 7 月 24 日 (金) 19 時 53 分 24 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 10:54:06 UTC 2020 年 7 月 24 日 (金) 19 時 54 分 6 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 24, 2020 10:54:30 UTC 2020 年 7 月 24 日 (金) 19 時 54 分 30 秒 (日本時間)

10²¹⁸-8

c147

name 名前	Eric Jeancolas
date 日付	August 9, 2020 04:11:24 UTC 2020 年 8 月 9 日 (日) 13 時 11 分 24 秒 (日本時間)
composite number 合成数	639016993636759888036885958438280820171491275448735814043023370286343938839751162742072959279693984538437612076925890739476006480452692271690606689<147>
prime factors 素因数	240487176065058305277561586798456729484240627583025630419091997893139273<72> 2657177002502156104288840159314691994994136977053583395748847176449997999193<76>
factorization results 素因数分解の結果	639016993636759888036885958438280820171491275448735814043023370286343938839751162742072959279693984538437612076925890739476006480452692271690606689=2404871760650583052775615867984567294842406275830256304190919978931392732657177002502156104288840159314691994994136977053583395748847176449997999193 n: 639016993636759888036885958438280820171491275448735814043023370286343938839751162742072959279693984538437612076925890739476006480452692271690606689 skew: 641339.41 c0: -51024569377438092693420546065949105 c1: -33308928743704870754333907197 c2: 78339527269522859431104 c3: -949992820815900334 c4: 815469070260 c5: 604800 Y0: -19858625232103102778743481268 Y1: 396625831819686745001 # MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.484e-07 # f(x) = 604800x^5+815469070260x^4-949992820815900334x^3+78339527269522859431104x^2-33308928743704870754333907197x-51024569377438092693420546065949105 # g(x) = 396625831819686745001*x-19858625232103102778743481268 Info:Square Root: Factors: 240487176065058305277561586798456729484240627583025630419091997893139273 2657177002502156104288840159314691994994136977053583395748847176449997999193 Info:Square Root: Total cpu/real time for sqrt: 3245.4/1137.24 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 77228.6 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78476/44.830/52.930/59.640/0.889 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 63588/42.390/47.573/53.810/1.306 Info:Polynomial Selection (size optimized): Total time: 41771 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 6316.2 Info:Polynomial Selection (root optimized): Rootsieve time: 6311.37 Info:Generate Factor Base: Total cpu/real time for makefb: 18.11/4.83495 Info:Generate Free Relations: Total cpu/real time for freerel: 469.47/118.219 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 51269545 Info:Lattice Sieving: Average J: 3812.54 for 1492022 special-q, max bucket fill -bkmult 1.0,1s:1.087200 Info:Lattice Sieving: Total time: 1.88894e+06s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 110.05/256.232 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 255.6s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1066.06/980.98 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 855.4000000000001s Info:Filtering - Singleton removal: Total cpu/real time for purge: 941.22/958.843 Info:Filtering - Merging: Total cpu/real time for merge: 531.94/154.365 Info:Filtering - Merging: Total cpu/real time for replay: 151.9/130.297 Info:Linear Algebra: Total cpu/real time for bwc: 241947/61989.7 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 39422.61, iteration CPU time 0.33, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (113152 iterations) Info:Linear Algebra: Lingen CPU time 795.26, WCT time 229.33 Info:Linear Algebra: Mksol: WCT time 21841.81, iteration CPU time 0.37, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (56832 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 141.86/58.1912 Info:Square Root: Total cpu/real time for sqrt: 3245.4/1137.24 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.49191e+06/634.202 240487176065058305277561586798456729484240627583025630419091997893139273 2657177002502156104288840159314691994994136977053583395748847176449997999193
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic\|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
20	11e3	74		Eric Jeancolas	July 23, 2020 08:19:03 UTC 2020 年 7 月 23 日 (木) 17 時 19 分 3 秒 (日本時間)
25	5e4	74		Eric Jeancolas	July 23, 2020 08:19:23 UTC 2020 年 7 月 23 日 (木) 17 時 19 分 23 秒 (日本時間)
30	25e4	0		-	-
35	1e6	1200		Eric Jeancolas	July 23, 2020 08:19:23 UTC 2020 年 7 月 23 日 (木) 17 時 19 分 23 秒 (日本時間)
40	3e6	74		Eric Jeancolas	July 23, 2020 08:19:45 UTC 2020 年 7 月 23 日 (木) 17 時 19 分 45 秒 (日本時間)
45	11e6	3000		Eric Jeancolas	July 23, 2020 08:19:45 UTC 2020 年 7 月 23 日 (木) 17 時 19 分 45 秒 (日本時間)
50	43e6	3000	1200	Eric Jeancolas	July 23, 2020 08:19:45 UTC 2020 年 7 月 23 日 (木) 17 時 19 分 45 秒 (日本時間)
50	43e6	3000	1800	Eric Jeancolas	July 23, 2020 08:20:41 UTC 2020 年 7 月 23 日 (木) 17 時 20 分 41 秒 (日本時間)
55	11e7	3000 / 13720		Eric Jeancolas	July 23, 2020 08:20:41 UTC 2020 年 7 月 23 日 (木) 17 時 20 分 41 秒 (日本時間)
60	26e7	1200 / 40485		Eric Jeancolas	July 23, 2020 08:20:41 UTC 2020 年 7 月 23 日 (木) 17 時 20 分 41 秒 (日本時間)

10²²³-8

c203

composite cofactor 合成数の残り	21774374003756766176437656416173757619100627000112441935374360441049966069229687419291114017530850279393139799750012514952070963076008243655827950695712636723730783621179518160438637778266284863320925599<203>

composite cofactor 合成数の残り

21774374003756766176437656416173757619100627000112441935374360441049966069229687419291114017530850279393139799750012514952070963076008243655827950695712636723730783621179518160438637778266284863320925599<203>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 10:55:27 UTC 2020 年 7 月 24 日 (金) 19 時 55 分 27 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 10:55:46 UTC 2020 年 7 月 24 日 (金) 19 時 55 分 46 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 24, 2020 10:56:07 UTC 2020 年 7 月 24 日 (金) 19 時 56 分 7 秒 (日本時間)

10²²⁴-8

c202

composite cofactor 合成数の残り	8973999447748295695877050157188720693992006575545545284031802080696219140338359985473095862605246590732615498193481751324226968773108085481232259142172411613365744627772386345071919144110196015415297511<202>

composite cofactor 合成数の残り

8973999447748295695877050157188720693992006575545545284031802080696219140338359985473095862605246590732615498193481751324226968773108085481232259142172411613365744627772386345071919144110196015415297511<202>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 10:56:28 UTC 2020 年 7 月 24 日 (金) 19 時 56 分 28 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:43:04 UTC 2020 年 7 月 24 日 (金) 20 時 43 分 4 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 24, 2020 11:43:21 UTC 2020 年 7 月 24 日 (金) 20 時 43 分 21 秒 (日本時間)

10²²⁶-8

c149

name 名前	Eric Jeancolas
date 日付	August 6, 2020 06:34:55 UTC 2020 年 8 月 6 日 (木) 15 時 34 分 55 秒 (日本時間)
composite number 合成数	42994320488300105189343312896333310382917244366006736721581292915263516259386985120748234454612484527488816087045838568929787673658715867610693468543<149>
prime factors 素因数	75540014775706952473778088720469786144824191560335592326849412748863<68> 569159545652176984771712249860300584557276520623186349563961615214032308408583361<81>
factorization results 素因数分解の結果	42994320488300105189343312896333310382917244366006736721581292915263516259386985120748234454612484527488816087045838568929787673658715867610693468543=75540014775706952473778088720469786144824191560335592326849412748863569159545652176984771712249860300584557276520623186349563961615214032308408583361 n: 42994320488300105189343312896333310382917244366006736721581292915263516259386985120748234454612484527488816087045838568929787673658715867610693468543 skew: 50910.81 c0: -4785803772291713507344659609156 c1: -328652383164045081614075676 c2: 6990015363616718318239 c3: 40851019108477727 c4: -3939424712016 c5: 11194560 Y0: -39173537293322879566045915238 Y1: 89330598602601816479 # MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=5.369e+14) = 1.005e-07 # f(x) = 11194560x^5-3939424712016x^4+40851019108477727x^3+6990015363616718318239x^2-328652383164045081614075676x-4785803772291713507344659609156 # g(x) = 89330598602601816479*x-39173537293322879566045915238 Info:Square Root: Factors: 569159545652176984771712249860300584557276520623186349563961615214032308408583361 75540014775706952473778088720469786144824191560335592326849412748863 Info:Square Root: Total cpu/real time for sqrt: 2961.78/959.24 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 85397.5 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 86934/44.040/53.637/58.570/0.887 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 71647/42.960/47.971/54.380/1.115 Info:Polynomial Selection (size optimized): Total time: 79875 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 11253.7 Info:Polynomial Selection (root optimized): Rootsieve time: 11248.9 Info:Generate Factor Base: Total cpu/real time for makefb: 28.89/7.6852 Info:Generate Free Relations: Total cpu/real time for freerel: 445.6/112.369 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 51502773 Info:Lattice Sieving: Average J: 3800.96 for 1886560 special-q, max bucket fill -bkmult 1.0,1s:1.075260 Info:Lattice Sieving: Total time: 2.23441e+06s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 109.77/264.984 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 264.2s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1003.63/919.75 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 813.6s Info:Filtering - Singleton removal: Total cpu/real time for purge: 864.16/874.06 Info:Filtering - Merging: Total cpu/real time for merge: 704.04/201.51 Info:Filtering - Merging: Total cpu/real time for replay: 184.73/161.938 Info:Linear Algebra: Total cpu/real time for bwc: 363314/93115.7 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 59757.24, iteration CPU time 0.42, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (135680 iterations) Info:Linear Algebra: Lingen CPU time 970.76, WCT time 280.18 Info:Linear Algebra: Mksol: WCT time 32439.25, iteration CPU time 0.45, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (68096 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 166.1/69.2433 Info:Square Root: Total cpu/real time for sqrt: 2961.78/959.24 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.99031e+06/447.997 569159545652176984771712249860300584557276520623186349563961615214032308408583361 75540014775706952473778088720469786144824191560335592326849412748863
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic\|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 23, 2020 08:27:41 UTC 2020 年 7 月 23 日 (木) 17 時 27 分 41 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 23, 2020 08:28:51 UTC 2020 年 7 月 23 日 (木) 17 時 28 分 51 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100	Eric Jeancolas	July 23, 2020 08:29:22 UTC 2020 年 7 月 23 日 (木) 17 時 29 分 22 秒 (日本時間)
50	43e6	3000 / 7075	Eric Jeancolas	July 23, 2020 08:29:51 UTC 2020 年 7 月 23 日 (木) 17 時 29 分 51 秒 (日本時間)

10²²⁹-8

c193

name 名前	ebina
date 日付	August 19, 2021 14:07:59 UTC 2021 年 8 月 19 日 (木) 23 時 7 分 59 秒 (日本時間)
composite number 合成数	4709266448341013803338464840928496502608748751400035391462535775987218638368797823987634262768228842852261732740343932209166475184948215739557192089472450926447574211120900079552345077418645181<193>
prime factors 素因数	334767049345437007805423028023677056513970699108900036280171<60> 14067293831782260966096208420484151105132669611606551911429438930057355484234892025019671334628528087406267864301656816980091099272311<134>
factorization results 素因数分解の結果	Wed Feb 20 03:59:06 2019 Msieve v. 1.53 (SVN unknown) Wed Feb 20 03:59:06 2019 random seeds: 688cf740 e8d75961 Wed Feb 20 03:59:06 2019 factoring 4709266448341013803338464840928496502608748751400035391462535775987218638368797823987634262768228842852261732740343932209166475184948215739557192089472450926447574211120900079552345077418645181 (193 digits) Wed Feb 20 03:59:07 2019 searching for 15-digit factors Wed Feb 20 03:59:07 2019 commencing number field sieve (193-digit input) Wed Feb 20 03:59:07 2019 R0: -1000000000000000000000000000000000000000000000 Wed Feb 20 03:59:07 2019 R1: 1 Wed Feb 20 03:59:07 2019 A0: -1 Wed Feb 20 03:59:07 2019 A1: 0 Wed Feb 20 03:59:07 2019 A2: 0 Wed Feb 20 03:59:07 2019 A3: 0 Wed Feb 20 03:59:07 2019 A4: 0 Wed Feb 20 03:59:07 2019 A5: 1250 Wed Feb 20 03:59:07 2019 skew 0.24, size 9.321e-16, alpha 0.299, combined = 9.890e-13 rroots = 1 Wed Feb 20 03:59:07 2019 Wed Feb 20 03:59:07 2019 commencing linear algebra Wed Feb 20 03:59:08 2019 read 9335165 cycles Wed Feb 20 03:59:19 2019 cycles contain 29977212 unique relations Wed Feb 20 04:02:18 2019 read 29977212 relations Wed Feb 20 04:02:50 2019 using 20 quadratic characters above 4294917295 Wed Feb 20 04:04:18 2019 building initial matrix Wed Feb 20 04:07:07 2019 memory use: 3736.2 MB Wed Feb 20 04:07:11 2019 read 9335165 cycles Wed Feb 20 04:07:13 2019 matrix is 9334985 x 9335165 (2816.5 MB) with weight 817931339 (87.62/col) Wed Feb 20 04:07:13 2019 sparse part has weight 635631550 (68.09/col) Wed Feb 20 04:08:08 2019 filtering completed in 2 passes Wed Feb 20 04:08:10 2019 matrix is 9323959 x 9324136 (2815.5 MB) with weight 817567583 (87.68/col) Wed Feb 20 04:08:10 2019 sparse part has weight 635506256 (68.16/col) Wed Feb 20 04:08:22 2019 matrix starts at (0, 0) Wed Feb 20 04:08:24 2019 matrix is 9323959 x 9324136 (2815.5 MB) with weight 817567583 (87.68/col) Wed Feb 20 04:08:24 2019 sparse part has weight 635506256 (68.16/col) Wed Feb 20 04:08:24 2019 saving the first 48 matrix rows for later Wed Feb 20 04:08:26 2019 matrix includes 64 packed rows Wed Feb 20 04:08:27 2019 matrix is 9323911 x 9324136 (2678.8 MB) with weight 654126931 (70.15/col) Wed Feb 20 04:08:27 2019 sparse part has weight 608988903 (65.31/col) Wed Feb 20 04:08:27 2019 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB Wed Feb 20 04:08:52 2019 commencing Lanczos iteration (12 threads) Wed Feb 20 04:08:52 2019 memory use: 2211.9 MB Wed Feb 20 04:09:05 2019 linear algebra at 0.0%, ETA 20h30m Wed Feb 20 04:09:08 2019 checkpointing every 490000 dimensions Thu Feb 21 01:02:45 2019 lanczos halted after 147448 iterations (dim = 9323909) Thu Feb 21 01:02:52 2019 recovered 38 nontrivial dependencies Thu Feb 21 01:02:54 2019 BLanczosTime: 75827 Thu Feb 21 01:02:54 2019 elapsed time 21:03:48 Thu Feb 21 01:02:54 2019 -> Running square root step ... Thu Feb 21 01:02:54 2019 Thu Feb 21 01:02:54 2019 Thu Feb 21 01:02:54 2019 Msieve v. 1.53 (SVN unknown) Thu Feb 21 01:02:54 2019 random seeds: 185cf548 d9861376 Thu Feb 21 01:02:54 2019 factoring 4709266448341013803338464840928496502608748751400035391462535775987218638368797823987634262768228842852261732740343932209166475184948215739557192089472450926447574211120900079552345077418645181 (193 digits) Thu Feb 21 01:02:55 2019 searching for 15-digit factors Thu Feb 21 01:02:55 2019 commencing number field sieve (193-digit input) Thu Feb 21 01:02:55 2019 R0: -1000000000000000000000000000000000000000000000 Thu Feb 21 01:02:55 2019 R1: 1 Thu Feb 21 01:02:55 2019 A0: -1 Thu Feb 21 01:02:55 2019 A1: 0 Thu Feb 21 01:02:55 2019 A2: 0 Thu Feb 21 01:02:55 2019 A3: 0 Thu Feb 21 01:02:55 2019 A4: 0 Thu Feb 21 01:02:55 2019 A5: 1250 Thu Feb 21 01:02:55 2019 skew 0.24, size 9.321e-16, alpha 0.299, combined = 9.890e-13 rroots = 1 Thu Feb 21 01:02:55 2019 Thu Feb 21 01:02:55 2019 commencing square root phase Thu Feb 21 01:02:55 2019 reading relations for dependency 1 Thu Feb 21 01:02:56 2019 read 4662482 cycles Thu Feb 21 01:03:01 2019 cycles contain 14984664 unique relations Thu Feb 21 01:04:35 2019 read 14984664 relations Thu Feb 21 01:05:26 2019 multiplying 14984664 relations Thu Feb 21 01:10:18 2019 multiply complete, coefficients have about 510.62 million bits Thu Feb 21 01:10:20 2019 initial square root is modulo 1452478661 Thu Feb 21 01:16:48 2019 GCD is N, no factor found Thu Feb 21 01:16:48 2019 reading relations for dependency 2 Thu Feb 21 01:16:49 2019 read 4662475 cycles Thu Feb 21 01:16:54 2019 cycles contain 14985934 unique relations Thu Feb 21 01:18:28 2019 read 14985934 relations Thu Feb 21 01:19:19 2019 multiplying 14985934 relations Thu Feb 21 01:24:11 2019 multiply complete, coefficients have about 510.67 million bits Thu Feb 21 01:24:12 2019 initial square root is modulo 1455526001 Thu Feb 21 01:30:36 2019 sqrtTime: 1661 Thu Feb 21 01:30:36 2019 p60 factor: 334767049345437007805423028023677056513970699108900036280171 Thu Feb 21 01:30:36 2019 p134 factor: 14067293831782260966096208420484151105132669611606551911429438930057355484234892025019671334628528087406267864301656816980091099272311 Thu Feb 21 01:30:36 2019 elapsed time 00:27:42 Thu Feb 21 01:30:36 2019 -> Computing 1.55068e+09 scale for this machine... Thu Feb 21 01:30:36 2019 -> procrels -speedtest> PIPE Thu Feb 21 01:30:38 2019 -> Factorization summary written to s229-1591.txt
software ソフトウェア	ggnfs factmsieve.py
execution environment 実行環境	core i9 9900k windows 10

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 10:57:02 UTC 2020 年 7 月 24 日 (金) 19 時 57 分 2 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:42:17 UTC 2020 年 7 月 24 日 (金) 20 時 42 分 17 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 24, 2020 11:42:34 UTC 2020 年 7 月 24 日 (金) 20 時 42 分 34 秒 (日本時間)

10²³³-8

c209

composite cofactor 合成数の残り	14825633003350672119514818636423043126883037746439601502115666819220320063974074165038251734908153627485854303319743573729524280396201651804772618568017715737711825691631429550429282644809354024255104985025081<209>

composite cofactor 合成数の残り

14825633003350672119514818636423043126883037746439601502115666819220320063974074165038251734908153627485854303319743573729524280396201651804772618568017715737711825691631429550429282644809354024255104985025081<209>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 10:57:21 UTC 2020 年 7 月 24 日 (金) 19 時 57 分 21 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:41:37 UTC 2020 年 7 月 24 日 (金) 20 時 41 分 37 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 24, 2020 11:41:50 UTC 2020 年 7 月 24 日 (金) 20 時 41 分 50 秒 (日本時間)

10²³⁵-8

c189

composite cofactor 合成数の残り	137708353823296945681799543404243311215194889651949802219091080543057325877558591428413732209099375855599579297568172592708073112926180652898410427980061184931096050519985374416525881611389<189>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 10:57:37 UTC 2020 年 7 月 24 日 (金) 19 時 57 分 37 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:40:59 UTC 2020 年 7 月 24 日 (金) 20 時 40 分 59 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 24, 2020 11:41:19 UTC 2020 年 7 月 24 日 (金) 20 時 41 分 19 秒 (日本時間)

10²³⁸-8

c218

composite cofactor 合成数の残り	35220738838848103292821727196538047774966928884770013874562995268352805052385985337792023399088317372942853191437798075977176907314188145513560687128960622718054042640859520068294252753177615378250355596282748970851569<218>

composite cofactor 合成数の残り

35220738838848103292821727196538047774966928884770013874562995268352805052385985337792023399088317372942853191437798075977176907314188145513560687128960622718054042640859520068294252753177615378250355596282748970851569<218>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 10:57:55 UTC 2020 年 7 月 24 日 (金) 19 時 57 分 55 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:40:17 UTC 2020 年 7 月 24 日 (金) 20 時 40 分 17 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 24, 2020 11:40:40 UTC 2020 年 7 月 24 日 (金) 20 時 40 分 40 秒 (日本時間)

10²⁴¹-8

c219

composite cofactor 合成数の残り	147173302413009193046967832977358926568718213111943186592194201854115973767260144643386945004138270561730606924558211685710595424526371615295750811572972104790688155260767023221632497517549191741482789446245018424480571<219>

composite cofactor 合成数の残り

147173302413009193046967832977358926568718213111943186592194201854115973767260144643386945004138270561730606924558211685710595424526371615295750811572972104790688155260767023221632497517549191741482789446245018424480571<219>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 10:58:29 UTC 2020 年 7 月 24 日 (金) 19 時 58 分 29 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:39:26 UTC 2020 年 7 月 24 日 (金) 20 時 39 分 26 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 24, 2020 11:39:45 UTC 2020 年 7 月 24 日 (金) 20 時 39 分 45 秒 (日本時間)

10²⁴⁴-8

c174

composite cofactor 合成数の残り	113670934419986410121627931368809047191099387337828435342240793689828209698870970239964931162970669889927364432037624400166913787511261427292409228428652883909632079154192999<174>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 10:59:14 UTC 2020 年 7 月 24 日 (金) 19 時 59 分 14 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:37:58 UTC 2020 年 7 月 24 日 (金) 20 時 37 分 58 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 24, 2020 11:38:18 UTC 2020 年 7 月 24 日 (金) 20 時 38 分 18 秒 (日本時間)

10²⁴⁵-8

c211

composite cofactor 合成数の残り	2678578010436588577104227168966069905942741090113066632891892398285063828742279322910484082708038669180554848586775585247367463253153507075800474643446241747999300698353533091960858315357736391179732802642875361<211>

composite cofactor 合成数の残り

2678578010436588577104227168966069905942741090113066632891892398285063828742279322910484082708038669180554848586775585247367463253153507075800474643446241747999300698353533091960858315357736391179732802642875361<211>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 10:59:42 UTC 2020 年 7 月 24 日 (金) 19 時 59 分 42 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:37:16 UTC 2020 年 7 月 24 日 (金) 20 時 37 分 16 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 24, 2020 11:37:41 UTC 2020 年 7 月 24 日 (金) 20 時 37 分 41 秒 (日本時間)

10²⁴⁷-8

c206

composite cofactor 合成数の残り	49525834895508127953872772569259614717502912130047791744814559110392748660411540421503601068875140099481898663147833034282446403511903280179713662537754644488834778018812466123465413306723009027188249976801<206>

composite cofactor 合成数の残り

49525834895508127953872772569259614717502912130047791744814559110392748660411540421503601068875140099481898663147833034282446403511903280179713662537754644488834778018812466123465413306723009027188249976801<206>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 10:59:58 UTC 2020 年 7 月 24 日 (金) 19 時 59 分 58 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:35:14 UTC 2020 年 7 月 24 日 (金) 20 時 35 分 14 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 24, 2020 11:35:35 UTC 2020 年 7 月 24 日 (金) 20 時 35 分 35 秒 (日本時間)

10²⁵⁰-8

c222

name 名前	ebina
date 日付	September 14, 2021 23:06:55 UTC 2021 年 9 月 15 日 (水) 8 時 6 分 55 秒 (日本時間)
composite number 合成数	932922531315141497661365630802992637456431101515102640067686743811540488105823117988867742625675686068435470772834833246623304226533395269728701120354287034823622845035831113308942663002610502880809767161926206746251922847<222>
prime factors 素因数	1029995596931735299971525155360791560703353694299986865092423502042097<70> 407674956653663027604464719033094582496706030683632591938382922781770082193<75> 2221755071186885207180839879967194318484554879420202469888500903637322929995807<79>
factorization results 素因数分解の結果	Number: 2067 N = 932922531315141497661365630802992637456431101515102640067686743811540488105823117988867742625675686068435470772834833246623304226533395269728701120354287034823622845035831113308942663002610502880809767161926206746251922847 (222 digits) SNFS difficulty: 250 digits. Divisors found: Version: Msieve v. 1.53 (SVN unknown) Total time: 1765.98 hours. Factorization parameters were as follows: n: 932922531315141497661365630802992637456431101515102640067686743811540488105823117988867742625675686068435470772834833246623304226533395269728701120354287034823622845035831113308942663002610502880809767161926206746251922847 m: 100000000000000000000000000000000000000000 c6: 1250 c0: -1 type: snfs Factor base limits: 102700000/102700000 Large primes per side: 3 Large prime bits: 31/31 Sieved rational special-q in [0, 0) Total raw relations: 165019039 Relations: 28605118 relations Pruned matrix : 18017669 x 18017895 Polynomial selection time: 0.00 hours. Total sieving time: 1284.91 hours. Total relation processing time: 1.82 hours. Matrix solve time: 472.90 hours. time per square root: 6.36 hours. Prototype def-par.txt line would be: snfs,250,6,0,0,0,0,0,0,0,0,102700000,102700000,31,31,62,62,2.6,2.6,100000 total time: 1765.98 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-7-6.1.7601-SP1 processors: 2, speed: 2.99GHz Sun Apr 18 04:46:00 2021 Msieve v. 1.53 (SVN unknown) Sun Apr 18 04:46:00 2021 random seeds: 5c85de80 93e9eeed Sun Apr 18 04:46:00 2021 factoring 932922531315141497661365630802992637456431101515102640067686743811540488105823117988867742625675686068435470772834833246623304226533395269728701120354287034823622845035831113308942663002610502880809767161926206746251922847 (222 digits) Sun Apr 18 04:46:02 2021 searching for 15-digit factors Sun Apr 18 04:46:02 2021 commencing number field sieve (222-digit input) Sun Apr 18 04:46:02 2021 R0: -100000000000000000000000000000000000000000 Sun Apr 18 04:46:02 2021 R1: 1 Sun Apr 18 04:46:02 2021 A0: -1 Sun Apr 18 04:46:02 2021 A1: 0 Sun Apr 18 04:46:02 2021 A2: 0 Sun Apr 18 04:46:02 2021 A3: 0 Sun Apr 18 04:46:02 2021 A4: 0 Sun Apr 18 04:46:02 2021 A5: 0 Sun Apr 18 04:46:02 2021 A6: 1250 Sun Apr 18 04:46:02 2021 skew 0.30, size 1.873e-12, alpha 1.127, combined = 1.885e-13 rroots = 2 Sun Apr 18 04:46:02 2021 Sun Apr 18 04:46:02 2021 commencing square root phase Sun Apr 18 04:46:02 2021 reading relations for dependency 1 Sun Apr 18 04:46:07 2021 read 9007571 cycles Sun Apr 18 04:46:21 2021 cycles contain 28620606 unique relations Sun Apr 18 04:51:41 2021 read 28620606 relations Sun Apr 18 04:54:23 2021 multiplying 28620606 relations Sun Apr 18 05:25:09 2021 multiply complete, coefficients have about 1012.45 million bits Sun Apr 18 05:25:16 2021 initial square root is modulo 1211047987 Sun Apr 18 06:01:52 2021 GCD is N, no factor found Sun Apr 18 06:01:52 2021 reading relations for dependency 2 Sun Apr 18 06:01:55 2021 read 9009722 cycles Sun Apr 18 06:02:09 2021 cycles contain 28626492 unique relations Sun Apr 18 06:07:33 2021 read 28626492 relations Sun Apr 18 06:10:15 2021 multiplying 28626492 relations Sun Apr 18 06:41:05 2021 multiply complete, coefficients have about 1012.67 million bits Sun Apr 18 06:41:12 2021 initial square root is modulo 1216527691 Sun Apr 18 07:17:48 2021 found factor: 1029995596931735299971525155360791560703353694299986865092423502042097 Sun Apr 18 07:17:48 2021 reading relations for dependency 3 Sun Apr 18 07:18:03 2021 read 9008602 cycles Sun Apr 18 07:18:17 2021 cycles contain 28614938 unique relations Sun Apr 18 07:23:29 2021 read 28614938 relations Sun Apr 18 07:26:11 2021 multiplying 28614938 relations Sun Apr 18 07:57:10 2021 multiply complete, coefficients have about 1012.26 million bits Sun Apr 18 07:57:17 2021 initial square root is modulo 1206329419 Sun Apr 18 08:34:21 2021 found factor: 1029995596931735299971525155360791560703353694299986865092423502042097 Sun Apr 18 08:34:21 2021 reading relations for dependency 4 Sun Apr 18 08:34:35 2021 read 9006938 cycles Sun Apr 18 08:34:49 2021 cycles contain 28623898 unique relations Sun Apr 18 08:40:00 2021 read 28623898 relations Sun Apr 18 08:42:41 2021 multiplying 28623898 relations Sun Apr 18 09:13:45 2021 multiply complete, coefficients have about 1012.57 million bits Sun Apr 18 09:13:52 2021 initial square root is modulo 1214105077 Sun Apr 18 09:51:00 2021 GCD is N, no factor found Sun Apr 18 09:51:00 2021 reading relations for dependency 5 Sun Apr 18 09:51:15 2021 read 9003732 cycles Sun Apr 18 09:51:29 2021 cycles contain 28605118 unique relations Sun Apr 18 09:56:42 2021 read 28605118 relations Sun Apr 18 09:59:23 2021 multiplying 28605118 relations Sun Apr 18 10:30:30 2021 multiply complete, coefficients have about 1011.91 million bits Sun Apr 18 10:30:38 2021 initial square root is modulo 1197659731 Sun Apr 18 11:07:21 2021 sqrtTime: 22879 Sun Apr 18 11:07:21 2021 p70 factor: 1029995596931735299971525155360791560703353694299986865092423502042097 Sun Apr 18 11:07:21 2021 p75 factor: 407674956653663027604464719033094582496706030683632591938382922781770082193 Sun Apr 18 11:07:21 2021 p79 factor: 2221755071186885207180839879967194318484554879420202469888500903637322929995807 Sun Apr 18 11:07:21 2021 elapsed time 06:21:21 Sun Apr 18 11:07:22 2021 -> Computing 1.61871e+09 scale for this machine... Sun Apr 18 11:07:22 2021 -> procrels -speedtest> PIPE Sun Apr 18 11:07:27 2021 -> Factorization summary written to s250-2067.txt
execution environment 実行環境	core i7 3960X pentium c3220

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 11:00:16 UTC 2020 年 7 月 24 日 (金) 20 時 0 分 16 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:34:43 UTC 2020 年 7 月 24 日 (金) 20 時 34 分 43 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 24, 2020 11:34:56 UTC 2020 年 7 月 24 日 (金) 20 時 34 分 56 秒 (日本時間)

10²⁵³-8

c177

composite cofactor 合成数の残り	252114661156132421777572266387032309002123532315150306897214393735368676657167377724177394241734115870746504160046799637889426621658051099493809596283240067861785985648281619519<177>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 11:01:30 UTC 2020 年 7 月 24 日 (金) 20 時 1 分 30 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:34:09 UTC 2020 年 7 月 24 日 (金) 20 時 34 分 9 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 24, 2020 11:34:24 UTC 2020 年 7 月 24 日 (金) 20 時 34 分 24 秒 (日本時間)

10²⁵⁴-8

c230

composite cofactor 合成数の残り	43332902793497141601753749812851949040495507179469855841048219437851598786142082982978470107579805451521120664809082184728899526991704025082325290597513411882126385190920069546638427980162824311926260973904850788669514274240376863<230>

composite cofactor 合成数の残り

43332902793497141601753749812851949040495507179469855841048219437851598786142082982978470107579805451521120664809082184728899526991704025082325290597513411882126385190920069546638427980162824311926260973904850788669514274240376863<230>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	ivelive	July 22, 2020 17:28:07 UTC 2020 年 7 月 23 日 (木) 2 時 28 分 7 秒 (日本時間)
25	5e4	216	ivelive	July 22, 2020 17:28:20 UTC 2020 年 7 月 23 日 (木) 2 時 28 分 20 秒 (日本時間)
30	25e4	432	ivelive	July 22, 2020 17:28:28 UTC 2020 年 7 月 23 日 (木) 2 時 28 分 28 秒 (日本時間)
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:33:23 UTC 2020 年 7 月 24 日 (金) 20 時 33 分 23 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4424	Eric Jeancolas	July 24, 2020 11:33:46 UTC 2020 年 7 月 24 日 (金) 20 時 33 分 46 秒 (日本時間)

10²⁵⁶-8

c210

composite cofactor 合成数の残り	834729842634662951899146217697190915554532858212370311947055559230709701834169994723901004227277032142133114528548458403681425319131943950763369285755659696134798858286107835562492833980277300999067602770088793<210>

composite cofactor 合成数の残り

834729842634662951899146217697190915554532858212370311947055559230709701834169994723901004227277032142133114528548458403681425319131943950763369285755659696134798858286107835562492833980277300999067602770088793<210>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 11:01:46 UTC 2020 年 7 月 24 日 (金) 20 時 1 分 46 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:32:22 UTC 2020 年 7 月 24 日 (金) 20 時 32 分 22 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 24, 2020 11:32:57 UTC 2020 年 7 月 24 日 (金) 20 時 32 分 57 秒 (日本時間)

10²⁵⁷-8

c173

composite cofactor 合成数の残り	50822802268523295647871840785345831022078075701859847808902846913361865082154555049732523222560742089430248043819524995286322617013013530962926999807730782831498996786639109<173>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 11:02:02 UTC 2020 年 7 月 24 日 (金) 20 時 2 分 2 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:31:44 UTC 2020 年 7 月 24 日 (金) 20 時 31 分 44 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100	Eric Jeancolas	July 24, 2020 11:32:05 UTC 2020 年 7 月 24 日 (金) 20 時 32 分 5 秒 (日本時間)
50	43e6	680 / 7075	Dmitry Domanov	September 6, 2020 12:14:38 UTC 2020 年 9 月 6 日 (日) 21 時 14 分 38 秒 (日本時間)

10²⁵⁹-8

c189

composite cofactor 合成数の残り	252420441474030497037162154955438758320886577959570585495140184026385593889643306675035700390953881197820692988860763630338122765073897375573734429877870295939849112099353947827646487964829<189>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 11:02:18 UTC 2020 年 7 月 24 日 (金) 20 時 2 分 18 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:30:56 UTC 2020 年 7 月 24 日 (金) 20 時 30 分 56 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 24, 2020 11:31:11 UTC 2020 年 7 月 24 日 (金) 20 時 31 分 11 秒 (日本時間)

10²⁶⁰-8

c242

composite cofactor 合成数の残り

25223408129465504922499996269821510686896329876233118944131358137047234073725944452788786458439862304571164267931947967658157966135444107507497543328823468737016591403555273597774996767614680855927436081618004543551736744556733627435898283729<242>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	80	ivelive	July 22, 2020 15:11:28 UTC 2020 年 7 月 23 日 (木) 0 時 11 分 28 秒 (日本時間)
25	5e4	216	ivelive	July 22, 2020 15:15:06 UTC 2020 年 7 月 23 日 (木) 0 時 15 分 6 秒 (日本時間)
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:30:13 UTC 2020 年 7 月 24 日 (金) 20 時 30 分 13 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 24, 2020 11:30:39 UTC 2020 年 7 月 24 日 (金) 20 時 30 分 39 秒 (日本時間)

10²⁶³-8

c258

composite cofactor 合成数の残り

125667293327569393479375483819079311142164895595612703455347897334848043108908303089404739164965969296966894208245785118981793322542701746272708079904291789401723149926107631523389196634127215514381365048407041389779730368255436367109350651961917783430013371<258>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 11:03:50 UTC 2020 年 7 月 24 日 (金) 20 時 3 分 50 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:29:43 UTC 2020 年 7 月 24 日 (金) 20 時 29 分 43 秒 (日本時間)
40	3e6	2350	Ignacio Santos	February 10, 2022 15:20:56 UTC 2022 年 2 月 11 日 (金) 0 時 20 分 56 秒 (日本時間)

10²⁶⁴-8

c172

name 名前	Eric Jeancolas
date 日付	August 3, 2020 03:18:08 UTC 2020 年 8 月 3 日 (月) 12 時 18 分 8 秒 (日本時間)
composite number 合成数	1076055610553953428313175224895622605776266517453622003185124607239702147806998665691043128308871002453406792063013816554039512762019541169887659794258167262084104506520897<172>
prime factors 素因数	148282122186460088280033684309138488857486578463879801<54> 7256812855705204047502769995530891206410012632318326900082260459369688634489794980813343744024797535044282162778220297<118>
factorization results 素因数分解の結果	1076055610553953428313175224895622605776266517453622003185124607239702147806998665691043128308871002453406792063013816554039512762019541169887659794258167262084104506520897=1482821221864600882800336843091384888574865784638798017256812855705204047502769995530891206410012632318326900082260459369688634489794980813343744024797535044282162778220297 n: 1076055610553953428313175224895622605776266517453622003185124607239702147806998665691043128308871002453406792063013816554039512762019541169887659794258167262084104506520897 skew: 0.58 type: snfs c0: 1 c3: 5 c6: 25 Y0: 100000000000000000000000000000 Y1: -1 # f(x) = 25x^6+5*x^3+1 # g(x) = -x+100000000000000000000000000000 Info:Square Root: Factors: 148282122186460088280033684309138488857486578463879801 7256812855705204047502769995530891206410012632318326900082260459369688634489794980813343744024797535044282162778220297 Info:Square Root: Total cpu/real time for sqrt: 176.46/54.8847 Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info) Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info) Info:Generate Factor Base: Total cpu/real time for makefb: 4.5/2.01147 Info:Generate Free Relations: Total cpu/real time for freerel: 194.21/49.1215 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22418259 Info:Lattice Sieving: Average J: 1894.1 for 1146083 special-q, max bucket fill -bkmult 1.0,1s:1.174880 Info:Lattice Sieving: Total time: 192642s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 41.25/86.0262 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 85.9s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 202.7/166.355 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 157.9s Info:Filtering - Singleton removal: Total cpu/real time for purge: 151.88/95.3373 Info:Filtering - Merging: Total cpu/real time for merge: 101.81/29.1836 Info:Filtering - Merging: Total cpu/real time for replay: 26.25/22.1464 Info:Linear Algebra: Total cpu/real time for bwc: 9701.48/2493.71 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 1563.07, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25088 iterations) Info:Linear Algebra: Lingen CPU time 134.1, WCT time 39.43 Info:Linear Algebra: Mksol: WCT time 855.82, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 26.02/10.3319 Info:Square Root: Total cpu/real time for sqrt: 176.46/54.8847 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 370007/22501 Info:root: Cleaning up computation data in /tmp/cado.zaasxht7 148282122186460088280033684309138488857486578463879801 7256812855705204047502769995530891206410012632318326900082260459369688634489794980813343744024797535044282162778220297
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic\|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
20	11e3	74		Eric Jeancolas	July 23, 2020 07:27:11 UTC 2020 年 7 月 23 日 (木) 16 時 27 分 11 秒 (日本時間)
25	5e4	204		Eric Jeancolas	July 23, 2020 07:27:39 UTC 2020 年 7 月 23 日 (木) 16 時 27 分 39 秒 (日本時間)
30	25e4	403		Eric Jeancolas	July 23, 2020 07:28:17 UTC 2020 年 7 月 23 日 (木) 16 時 28 分 17 秒 (日本時間)
35	1e6	1200		Eric Jeancolas	July 23, 2020 07:29:20 UTC 2020 年 7 月 23 日 (木) 16 時 29 分 20 秒 (日本時間)
40	3e6	2009		Eric Jeancolas	July 23, 2020 07:30:04 UTC 2020 年 7 月 23 日 (木) 16 時 30 分 4 秒 (日本時間)
45	11e6	4200	2100	Eric Jeancolas	July 23, 2020 07:30:48 UTC 2020 年 7 月 23 日 (木) 16 時 30 分 48 秒 (日本時間)
45	11e6	4200	2100	Eric Jeancolas	July 23, 2020 07:32:27 UTC 2020 年 7 月 23 日 (木) 16 時 32 分 27 秒 (日本時間)
50	43e6	3000 / 6528		Eric Jeancolas	July 23, 2020 07:32:27 UTC 2020 年 7 月 23 日 (木) 16 時 32 分 27 秒 (日本時間)

10²⁶⁵-8

c204

composite cofactor 合成数の残り

134299842579783966005067848757426593483186645272311237088475715777187358364422090763059492757325700307940794574349351151713333031161663357476330037195561626367500350523978331164276413667262753160923653979<204>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 11:04:44 UTC 2020 年 7 月 24 日 (金) 20 時 4 分 44 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:27:58 UTC 2020 年 7 月 24 日 (金) 20 時 27 分 58 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 24, 2020 11:28:20 UTC 2020 年 7 月 24 日 (金) 20 時 28 分 20 秒 (日本時間)

10²⁶⁶-8

c246

composite cofactor 合成数の残り

614682648295024615785666722152370421096592266119823249855851920672929570334675282844268207109519800447065457524424199416069326696909321961241299611961877744500364155894615125199374879836358724320835117473399863910023371396191721748303007184164327<246>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 11:05:01 UTC 2020 年 7 月 24 日 (金) 20 時 5 分 1 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:26:56 UTC 2020 年 7 月 24 日 (金) 20 時 26 分 56 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 24, 2020 11:27:32 UTC 2020 年 7 月 24 日 (金) 20 時 27 分 32 秒 (日本時間)

10²⁶⁸-8

c155

name 名前	Eric Jeancolas
date 日付	August 18, 2020 04:21:41 UTC 2020 年 8 月 18 日 (火) 13 時 21 分 41 秒 (日本時間)
composite number 合成数	16699196261488902589202192543333109417966077416940135877458033458745566093439138995109097963706203900580450615521272327809210156151905133426948406784583207<155>
prime factors 素因数	1086718010436102264345022379325105816523420157263<49> 15366632466859990086155665902521128205700163253450533605496471754099046977810405627253625395486083591883689<107>
factorization results 素因数分解の結果	16699196261488902589202192543333109417966077416940135877458033458745566093439138995109097963706203900580450615521272327809210156151905133426948406784583207=108671801043610226434502237932510581652342015726315366632466859990086155665902521128205700163253450533605496471754099046977810405627253625395486083591883689 n: 16699196261488902589202192543333109417966077416940135877458033458745566093439138995109097963706203900580450615521272327809210156151905133426948406784583207 skew: 3120199.709 c0: 58185472476205879108147364741257978836 c1: -76817183685332324009785437377993 c2: -36040140390537122015264496 c3: 9629023509069214703 c4: 1290487221930 c5: 213480 Y0: -859542540270069711579061383770 Y1: 49997502679645359347 # MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=2.076e+15) = 3.208e-08 # f(x) = 213480x^5+1290487221930x^4+9629023509069214703x^3-36040140390537122015264496x^2-76817183685332324009785437377993x+58185472476205879108147364741257978836 # g(x) = 49997502679645359347*x-859542540270069711579061383770 Info:Square Root: Factors: 15366632466859990086155665902521128205700163253450533605496471754099046977810405627253625395486083591883689 1086718010436102264345022379325105816523420157263 Info:Square Root: Total cpu/real time for sqrt: 3411.56/1172.87 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 99634.6 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 101090/47.370/55.723/60.580/0.857 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 81146/44.720/50.243/56.540/1.417 Info:Polynomial Selection (size optimized): Total time: 93726.4 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 15544.2 Info:Polynomial Selection (root optimized): Rootsieve time: 15539.6 Info:Generate Factor Base: Total cpu/real time for makefb: 27.84/7.38231 Info:Generate Free Relations: Total cpu/real time for freerel: 468.83/118.084 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 49255814 Info:Lattice Sieving: Average J: 7821.14 for 1767168 special-q, max bucket fill -bkmult 1.0,1s:1.079620 Info:Lattice Sieving: Total time: 1.93725e+06s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 111.41/262.214 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 261.4s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1037.94/933.413 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 826.9s Info:Filtering - Singleton removal: Total cpu/real time for purge: 849.41/814.169 Info:Filtering - Merging: Total cpu/real time for merge: 594.02/170.979 Info:Filtering - Merging: Total cpu/real time for replay: 159.95/136.902 Info:Linear Algebra: Total cpu/real time for bwc: 280999/71784.6 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 45107.5, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (119808 iterations) Info:Linear Algebra: Lingen CPU time 848.38, WCT time 244.2 Info:Linear Algebra: Mksol: WCT time 25905.6, iteration CPU time 0.41, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (59904 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 145.01/59.8298 Info:Square Root: Total cpu/real time for sqrt: 3411.56/1172.87 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4.07565e+06/666.22 15366632466859990086155665902521128205700163253450533605496471754099046977810405627253625395486083591883689 1086718010436102264345022379325105816523420157263
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic\|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
20	11e3	74		Eric Jeancolas	July 23, 2020 08:25:00 UTC 2020 年 7 月 23 日 (木) 17 時 25 分 0 秒 (日本時間)
25	5e4	74		Eric Jeancolas	July 23, 2020 08:25:30 UTC 2020 年 7 月 23 日 (木) 17 時 25 分 30 秒 (日本時間)
30	25e4	0		-	-
35	1e6	1200		Eric Jeancolas	July 23, 2020 08:25:30 UTC 2020 年 7 月 23 日 (木) 17 時 25 分 30 秒 (日本時間)
40	3e6	74		Eric Jeancolas	July 23, 2020 08:25:58 UTC 2020 年 7 月 23 日 (木) 17 時 25 分 58 秒 (日本時間)
45	11e6	2100		Eric Jeancolas	July 23, 2020 08:25:58 UTC 2020 年 7 月 23 日 (木) 17 時 25 分 58 秒 (日本時間)
50	43e6	4200 / 7072	1200	Eric Jeancolas	July 23, 2020 08:25:58 UTC 2020 年 7 月 23 日 (木) 17 時 25 分 58 秒 (日本時間)
50	43e6	4200 / 7072	3000	Eric Jeancolas	July 23, 2020 08:26:40 UTC 2020 年 7 月 23 日 (木) 17 時 26 分 40 秒 (日本時間)

10²⁶⁹-8

c182

composite cofactor 合成数の残り	26395182040256653810228739746277411839231760723675696780298999544008711195883885093739653840334666484892830702329956231846778733210986642278437509686657483510165081559451370118407151<182>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
20	11e3	74		Eric Jeancolas	July 23, 2020 08:22:15 UTC 2020 年 7 月 23 日 (木) 17 時 22 分 15 秒 (日本時間)
25	5e4	74		Eric Jeancolas	July 23, 2020 08:22:37 UTC 2020 年 7 月 23 日 (木) 17 時 22 分 37 秒 (日本時間)
30	25e4	0		-	-
35	1e6	1200		Eric Jeancolas	July 23, 2020 08:22:37 UTC 2020 年 7 月 23 日 (木) 17 時 22 分 37 秒 (日本時間)
40	3e6	74		Eric Jeancolas	July 23, 2020 08:23:16 UTC 2020 年 7 月 23 日 (木) 17 時 23 分 16 秒 (日本時間)
45	11e6	2174	2100	Eric Jeancolas	July 23, 2020 08:23:16 UTC 2020 年 7 月 23 日 (木) 17 時 23 分 16 秒 (日本時間)
45	11e6	2174	74	Eric Jeancolas	July 23, 2020 08:23:47 UTC 2020 年 7 月 23 日 (木) 17 時 23 分 47 秒 (日本時間)
50	43e6	3000 / 7056		Eric Jeancolas	July 23, 2020 08:23:47 UTC 2020 年 7 月 23 日 (木) 17 時 23 分 47 秒 (日本時間)

10²⁷⁰-8

c163

name 名前	Eric Jeancolas
date 日付	July 30, 2020 02:46:52 UTC 2020 年 7 月 30 日 (木) 11 時 46 分 52 秒 (日本時間)
composite number 合成数	2603898110041298512642198848006446912252959704511418359616544070295174199940156400886119446825896534311973480646240628603059037573378064462013411196470559260352767<163>
prime factors 素因数	1562287592416308614973951362709748582277981572375663<52> 1666721365951569337712187808422793622098995996851606663262809946359681616856472370504201564316884566682072298609<112>
factorization results 素因数分解の結果	2603898110041298512642198848006446912252959704511418359616544070295174199940156400886119446825896534311973480646240628603059037573378064462013411196470559260352767=15622875924163086149739513627097485822779815723756631666721365951569337712187808422793622098995996851606663262809946359681616856472370504201564316884566682072298609 # Polynôme pour 99992_270 n: 2603898110041298512642198848006446912252959704511418359616544070295174199940156400886119446825896534311973480646240628603059037573378064462013411196470559260352767 skew: 0.13 type: snfs c0: 1 c3: 500 c6: 250000 Y0: 100000000000000000000000000000 Y1: -1 # f(x) = 250000x^6+500*x^3+1 # g(x) = -x+100000000000000000000000000000 Info:Square Root: Factors: 1666721365951569337712187808422793622098995996851606663262809946359681616856472370504201564316884566682072298609 1562287592416308614973951362709748582277981572375663 Info:Square Root: Total cpu/real time for sqrt: 372.99/110.497 Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info) Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info) Info:Generate Factor Base: Total cpu/real time for makefb: 5.24/2.17136 Info:Generate Free Relations: Total cpu/real time for freerel: 196.3/49.6295 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22416931 Info:Lattice Sieving: Average J: 1893.73 for 1480374 special-q, max bucket fill -bkmult 1.0,1s:1.170530 Info:Lattice Sieving: Total time: 249158s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.33/93.0107 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 92.9s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 209.13/171.202 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 162.3s Info:Filtering - Singleton removal: Total cpu/real time for purge: 111/104.343 Info:Filtering - Merging: Total cpu/real time for merge: 147.6/42.6109 Info:Filtering - Merging: Total cpu/real time for replay: 40.09/33.6524 Info:Linear Algebra: Total cpu/real time for bwc: 20807.2/5343.68 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 3375.44, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35840 iterations) Info:Linear Algebra: Lingen CPU time 204.23, WCT time 59.94 Info:Linear Algebra: Mksol: WCT time 1853.26, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (17920 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 39.29/15.5986 Info:Square Root: Total cpu/real time for sqrt: 372.99/110.497 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 497648/75726.1 Info:root: Cleaning up computation data in /tmp/cado.kkvu08dz 1666721365951569337712187808422793622098995996851606663262809946359681616856472370504201564316884566682072298609 1562287592416308614973951362709748582277981572375663
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic\|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
20	11e3	74		ivelive	July 23, 2020 00:38:42 UTC 2020 年 7 月 23 日 (木) 9 時 38 分 42 秒 (日本時間)
25	5e4	216		ivelive	July 23, 2020 00:39:06 UTC 2020 年 7 月 23 日 (木) 9 時 39 分 6 秒 (日本時間)
30	25e4	0		-	-
35	1e6	0		-	-
40	3e6	2352		ivelive	July 23, 2020 00:39:06 UTC 2020 年 7 月 23 日 (木) 9 時 39 分 6 秒 (日本時間)
45	11e6	4200	2100	Eric Jeancolas	July 23, 2020 07:34:40 UTC 2020 年 7 月 23 日 (木) 16 時 34 分 40 秒 (日本時間)
45	11e6	4200	2100	Eric Jeancolas	July 23, 2020 07:35:15 UTC 2020 年 7 月 23 日 (木) 16 時 35 分 15 秒 (日本時間)
50	43e6	3000 / 6522		Eric Jeancolas	July 23, 2020 07:35:15 UTC 2020 年 7 月 23 日 (木) 16 時 35 分 15 秒 (日本時間)

10²⁷²-8

c241

composite cofactor 合成数の残り

1332836614885934286019596685232578277408383778344482244451790804474711996959256567849500261313350454941562870993352261996062155206934427690272841091102507535443897489874592395038006560222137412269939112174296890641445837372223240118676665383<241>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 11:06:40 UTC 2020 年 7 月 24 日 (金) 20 時 6 分 40 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:24:37 UTC 2020 年 7 月 24 日 (金) 20 時 24 分 37 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 24, 2020 11:24:56 UTC 2020 年 7 月 24 日 (金) 20 時 24 分 56 秒 (日本時間)

10²⁷⁴-8

c241

composite cofactor 合成数の残り

1100412030917108870599891678402423219806819913384450261546252806244921379392819335476988567953037443441278667231204367097942642177183473188479502327642452855964413649515746859466450506564545866972081158497934160891645398937523435292838931673<241>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 11:23:57 UTC 2020 年 7 月 24 日 (金) 20 時 23 分 57 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:24:17 UTC 2020 年 7 月 24 日 (金) 20 時 24 分 17 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 24, 2020 11:25:21 UTC 2020 年 7 月 24 日 (金) 20 時 25 分 21 秒 (日本時間)

10²⁷⁵-8

c253

name 名前	Ignacio Santos
date 日付	December 14, 2021 13:29:02 UTC 2021 年 12 月 14 日 (火) 22 時 29 分 2 秒 (日本時間)
composite number 合成数	6876821504743910597150946261414658577953356782082083923673080943185685166018488732170519508230004426249854899160489096538823653124278616062901895007239344309510404637093973259312256508028523775547272260014582030593857648256068049640705643169179036131671<253>
prime factors 素因数	101830348156926312056471490240032595089<39>
composite cofactor 合成数の残り	67532141735844216591207116981502307448979632490838689322091028773916898572267926632103271363892144533588628080058608480519664941034188758084223467201554795965573191202685243609298434579431892290557328582654845268839<215>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2972670044 Step 1 took 11532ms ********** Factor found in step 2: 101830348156926312056471490240032595089 Found prime factor of 39 digits: 101830348156926312056471490240032595089 Composite cofactor 67532141735844216591207116981502307448979632490838689322091028773916898572267926632103271363892144533588628080058608480519664941034188758084223467201554795965573191202685243609298434579431892290557328582654845268839 has 215 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
20	11e3	74	Eric Jeancolas	July 24, 2020 11:07:17 UTC 2020 年 7 月 24 日 (金) 20 時 7 分 17 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:23:40 UTC 2020 年 7 月 24 日 (金) 20 時 23 分 40 秒 (日本時間)
40	3e6	2350	Ignacio Santos	December 15, 2021 15:45:32 UTC 2021 年 12 月 16 日 (木) 0 時 45 分 32 秒 (日本時間)

10²⁷⁷-8

c241

composite cofactor 合成数の残り

2212271372756924929746694710515118952323466753327972411436481825577020078125038514257166021598504159060115481859714388314751990075783497544895113984996738049855458871089661670215312531210243200648073093574214796245194027708880784825328672869<241>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 11:07:45 UTC 2020 年 7 月 24 日 (金) 20 時 7 分 45 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:22:48 UTC 2020 年 7 月 24 日 (金) 20 時 22 分 48 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 24, 2020 11:23:19 UTC 2020 年 7 月 24 日 (金) 20 時 23 分 19 秒 (日本時間)

10²⁷⁸-8

c235

composite cofactor 合成数の残り

1682683477613497214292632757990564389672780957593905800846481098639915230725994977954753467797135519859849832790063326805232037626287450171755612616746992501089709099546494579862357966472375790128828987611955192926536242502295053479023<235>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 11:08:15 UTC 2020 年 7 月 24 日 (金) 20 時 8 分 15 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:21:50 UTC 2020 年 7 月 24 日 (金) 20 時 21 分 50 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 24, 2020 11:22:25 UTC 2020 年 7 月 24 日 (金) 20 時 22 分 25 秒 (日本時間)

10²⁷⁹-8

c175

name 名前	Eric Jeancolas
date 日付	July 31, 2020 03:16:08 UTC 2020 年 7 月 31 日 (金) 12 時 16 分 8 秒 (日本時間)
composite number 合成数	5719990794011610096264953664025158223245641002325510099308421197743362072181873982083894576048219563028332473769991683253962913056684771586637730657593736184000731037337358449<175>
prime factors 素因数	608455182966478674857874703718154637224334572464806531<54> 22974697399277989948569231995312857895208848437936864424749<59> 409182390250355578148746224440974370462453042256467105938889671<63>
factorization results 素因数分解の結果	5719990794011610096264953664025158223245641002325510099308421197743362072181873982083894576048219563028332473769991683253962913056684771586637730657593736184000731037337358449=60845518296647867485787470371815463722433457246480653122974697399277989948569231995312857895208848437936864424749409182390250355578148746224440974370462453042256467105938889671 n: 5719990794011610096264953664025158223245641002325510099308421197743362072181873982083894576048219563028332473769991683253962913056684771586637730657593736184000731037337358449 skew: 0.13 type: snfs c0: 1 c3: 500 c6: 250000 Y0: 1000000000000000000000000000000 Y1: -1 # f(x) = 250000x^6+500x^3+1 # g(x) = -x+1000000000000000000000000000000 Info:Square Root: Factors: 409182390250355578148746224440974370462453042256467105938889671 22974697399277989948569231995312857895208848437936864424749 608455182966478674857874703718154637224334572464806531 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: 6.61/2.44101 Info:Generate Free Relations: Total cpu/real time for freerel: 196.5/49.6242 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 24029514 Info:Lattice Sieving: Average J: 1893.44 for 2016142 special-q, max bucket fill -bkmult 1.0,1s:1.183980 Info:Lattice Sieving: Total time: 342168s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.84/55.0522 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 54.7s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 368.18/224.517 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 193.50000000000003s Info:Filtering - Singleton removal: Total cpu/real time for purge: 276.67/165.46 Info:Filtering - Merging: Total cpu/real time for merge: 242.08/69.6665 Info:Filtering - Merging: Total cpu/real time for replay: 65.12/54.8209 Info:Linear Algebra: Total cpu/real time for bwc: 48680.4/12499.9 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 7939.67, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (53760 iterations) Info:Linear Algebra: Lingen CPU time 337.91, WCT time 98.21 Info:Linear Algebra: Mksol: WCT time 4365.44, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26880 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 62.29/25.2516 Info:Square Root: Total cpu/real time for sqrt: 640.71/190.875 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 718153/102856 Info:root: Cleaning up computation data in /tmp/cado.ktadpj3x 409182390250355578148746224440974370462453042256467105938889671 22974697399277989948569231995312857895208848437936864424749 608455182966478674857874703718154637224334572464806531
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic\|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
20	11e3	74		Eric Jeancolas	July 23, 2020 07:36:01 UTC 2020 年 7 月 23 日 (木) 16 時 36 分 1 秒 (日本時間)
25	5e4	74		Eric Jeancolas	July 23, 2020 07:36:21 UTC 2020 年 7 月 23 日 (木) 16 時 36 分 21 秒 (日本時間)
30	25e4	0		-	-
35	1e6	1200		Eric Jeancolas	July 23, 2020 07:36:21 UTC 2020 年 7 月 23 日 (木) 16 時 36 分 21 秒 (日本時間)
40	3e6	74		Eric Jeancolas	July 23, 2020 07:38:10 UTC 2020 年 7 月 23 日 (木) 16 時 38 分 10 秒 (日本時間)
45	11e6	2100		Eric Jeancolas	July 23, 2020 07:38:10 UTC 2020 年 7 月 23 日 (木) 16 時 38 分 10 秒 (日本時間)
50	43e6	4200	1200	Eric Jeancolas	July 23, 2020 07:38:10 UTC 2020 年 7 月 23 日 (木) 16 時 38 分 10 秒 (日本時間)
50	43e6	4200	3000	Eric Jeancolas	July 23, 2020 07:38:40 UTC 2020 年 7 月 23 日 (木) 16 時 38 分 40 秒 (日本時間)
55	11e7	2100 / 13348		Eric Jeancolas	July 23, 2020 07:38:40 UTC 2020 年 7 月 23 日 (木) 16 時 38 分 40 秒 (日本時間)
60	26e7	1200 / 40699		Eric Jeancolas	July 23, 2020 07:38:40 UTC 2020 年 7 月 23 日 (木) 16 時 38 分 40 秒 (日本時間)

10²⁸²-8

c179

name 名前	Eric Jeancolas
date 日付	August 7, 2020 04:55:31 UTC 2020 年 8 月 7 日 (金) 13 時 55 分 31 秒 (日本時間)
composite number 合成数	59192325594707840520030246141886244288115197471197777946615336534095990617533383861954461596574378167631430148454186853015598842282401239161503393108908535211107736333013504570449<179>
prime factors 素因数	1000021101106568313943613933502275207711313220336493180200611799<64> 59191076597492663593833654852469312007825433681353259194384113104349910408932818389071977093005664849202721567971351<116>
factorization results 素因数分解の結果	59192325594707840520030246141886244288115197471197777946615336534095990617533383861954461596574378167631430148454186853015598842282401239161503393108908535211107736333013504570449=100002110110656831394361393350227520771131322033649318020061179959191076597492663593833654852469312007825433681353259194384113104349910408932818389071977093005664849202721567971351 n: 59192325594707840520030246141886244288115197471197777946615336534095990617533383861954461596574378167631430148454186853015598842282401239161503393108908535211107736333013504570449 skew: 0.58 type: snfs c0: 1 c3: 5 c6: 25 Y0: 10000000000000000000000000000000 Y1: -1 # f(x) = 25x^6+5*x^3+1 # g(x) = -x+10000000000000000000000000000000 Info:Square Root: Factors: 1000021101106568313943613933502275207711313220336493180200611799 59191076597492663593833654852469312007825433681353259194384113104349910408932818389071977093005664849202721567971351 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: 7.34/2.73124 Info:Generate Free Relations: Total cpu/real time for freerel: 187.2/47.5342 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 23557887 Info:Lattice Sieving: Average J: 1894.4 for 1707111 special-q, max bucket fill -bkmult 1.0,1s:1.151920 Info:Lattice Sieving: Total time: 338811s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.59/51.9376 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.599999999999994s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 335.29/201.188 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 174.60000000000002s Info:Filtering - Singleton removal: Total cpu/real time for purge: 238.29/142.887 Info:Filtering - Merging: Total cpu/real time for merge: 248.76/71.4258 Info:Filtering - Merging: Total cpu/real time for replay: 65.17/55.0647 Info:Linear Algebra: Total cpu/real time for bwc: 48945.6/12600.7 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 8012.08, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (53760 iterations) Info:Linear Algebra: Lingen CPU time 341.18, WCT time 99.3 Info:Linear Algebra: Mksol: WCT time 4396.39, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26880 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 61.93/25.119 Info:Square Root: Total cpu/real time for sqrt: 476.12/146.758 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 700934/352354 Info:root: Cleaning up computation data in /tmp/cado.jhwderll 1000021101106568313943613933502275207711313220336493180200611799 59191076597492663593833654852469312007825433681353259194384113104349910408932818389071977093005664849202721567971351
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic\|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
20	11e3	74		Eric Jeancolas	July 23, 2020 08:16:33 UTC 2020 年 7 月 23 日 (木) 17 時 16 分 33 秒 (日本時間)
25	5e4	74		Eric Jeancolas	July 23, 2020 08:16:53 UTC 2020 年 7 月 23 日 (木) 17 時 16 分 53 秒 (日本時間)
30	25e4	0		-	-
35	1e6	1200		Eric Jeancolas	July 23, 2020 08:16:53 UTC 2020 年 7 月 23 日 (木) 17 時 16 分 53 秒 (日本時間)
40	3e6	74		Eric Jeancolas	July 23, 2020 08:17:16 UTC 2020 年 7 月 23 日 (木) 17 時 17 分 16 秒 (日本時間)
45	11e6	2100		Eric Jeancolas	July 23, 2020 08:17:16 UTC 2020 年 7 月 23 日 (木) 17 時 17 分 16 秒 (日本時間)
50	43e6	4200	1200	Eric Jeancolas	July 23, 2020 08:17:16 UTC 2020 年 7 月 23 日 (木) 17 時 17 分 16 秒 (日本時間)
50	43e6	4200	3000	Eric Jeancolas	July 23, 2020 08:17:31 UTC 2020 年 7 月 23 日 (木) 17 時 17 分 31 秒 (日本時間)
55	11e7	2100 / 13348		Eric Jeancolas	July 23, 2020 08:17:31 UTC 2020 年 7 月 23 日 (木) 17 時 17 分 31 秒 (日本時間)
60	26e7	1200 / 40699		Eric Jeancolas	July 23, 2020 08:17:31 UTC 2020 年 7 月 23 日 (木) 17 時 17 分 31 秒 (日本時間)

10²⁸³-8

c268

composite cofactor 合成数の残り

5668468397960365397765273997157543620103919333477505022581256195577324135174483809157205977183989241863449845690321697646765461584261059650213817197277602970040970593222349097050241112931952025919445833543297141847804824942650640777300334071430343792957265579864407941<268>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 11:09:59 UTC 2020 年 7 月 24 日 (金) 20 時 9 分 59 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:20:14 UTC 2020 年 7 月 24 日 (金) 20 時 20 分 14 秒 (日本時間)
40	3e6	2350	Ignacio Santos	December 14, 2021 13:29:48 UTC 2021 年 12 月 14 日 (火) 22 時 29 分 48 秒 (日本時間)

10²⁸⁴-8

c267

composite cofactor 合成数の残り

258782757066354190407831809183269496829633897299547881499938312939091850600285015874925250037194371137300032697384512467616103532484733641534293290660144626022642972782443558370892275149159554397003683171932036835636118563983766430343871533162930698169236391764708839<267>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 11:10:16 UTC 2020 年 7 月 24 日 (金) 20 時 10 分 16 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:19:52 UTC 2020 年 7 月 24 日 (金) 20 時 19 分 52 秒 (日本時間)
40	3e6	2350	Ignacio Santos	December 14, 2021 14:16:06 UTC 2021 年 12 月 14 日 (火) 23 時 16 分 6 秒 (日本時間)

10²⁸⁶-8

c241

composite cofactor 合成数の残り

2135290269262478208310281899963411862432999161490383600772577754942548416941761167227922970628162440325404895039890654172155841038874886294041425154807053993978505604292885497987967438944206218792831381330006594548668566047667426471209502177<241>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 11:10:37 UTC 2020 年 7 月 24 日 (金) 20 時 10 分 37 秒 (日本時間)
25	5e4	216	ivelive	July 27, 2020 05:50:19 UTC 2020 年 7 月 27 日 (月) 14 時 50 分 19 秒 (日本時間)
30	25e4	0	-	-
35	1e6	0	-	-
40	3e6	2352	ivelive	July 27, 2020 05:50:19 UTC 2020 年 7 月 27 日 (月) 14 時 50 分 19 秒 (日本時間)
45	11e6	4480	ivelive	July 28, 2020 13:13:08 UTC 2020 年 7 月 28 日 (火) 22 時 13 分 8 秒 (日本時間)

10²⁸⁷-8

c256

composite cofactor 合成数の残り

6702530195622853795222509945240525837954224714913360715077118746414624829768156824843376539837152177541788088888160842137723187409897703886989162817360910687772133889230841113340375615677127066188545006556377578118660129184880957362859824948488517295496521<256>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 11:10:54 UTC 2020 年 7 月 24 日 (金) 20 時 10 分 54 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:19:26 UTC 2020 年 7 月 24 日 (金) 20 時 19 分 26 秒 (日本時間)
40	3e6	2350	Ignacio Santos	December 14, 2021 14:16:37 UTC 2021 年 12 月 14 日 (火) 23 時 16 分 37 秒 (日本時間)

10²⁸⁸-8

c191

name 名前	Eric Jeancolas
date 日付	August 4, 2020 07:02:39 UTC 2020 年 8 月 4 日 (火) 16 時 2 分 39 秒 (日本時間)
composite number 合成数	35714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714357142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143<191>
prime factors 素因数	2839677077102531261752115849004538801118331169<46> 3879166744617579942562806200690866812001476712823689<52> 3242160907698279434061452354686848615533991879364536638379458019591429120575287052879005181023<94>
factorization results 素因数分解の結果	35714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714357142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143=283967707710253126175211584900453880111833116938791667446175799425628062006908668120014767128236893242160907698279434061452354686848615533991879364536638379458019591429120575287052879005181023 n: 35714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714357142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143 skew: 0.13 type: snfs c0: 1 c3: 500 c6: 250000 Y0: 10000000000000000000000000000000 Y1: -1 # f(x) = 250000x^6+500x^3+1 # g(x) = -x+10000000000000000000000000000000 Info:Square Root: Factors: 3879166744617579942562806200690866812001476712823689 2839677077102531261752115849004538801118331169 3242160907698279434061452354686848615533991879364536638379458019591429120575287052879005181023 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: 7.72/2.83039 Info:Generate Free Relations: Total cpu/real time for freerel: 196.31/49.6011 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 26377073 Info:Lattice Sieving: Average J: 1893.26 for 3272860 special-q, max bucket fill -bkmult 1.0,1s:1.185690 Info:Lattice Sieving: Total time: 674955s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.59/110.274 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 109.7s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 429.08/396.896 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 343.6000000000001s Info:Filtering - Singleton removal: Total cpu/real time for purge: 330.67/343.533 Info:Filtering - Merging: Total cpu/real time for merge: 310.03/89.444 Info:Filtering - Merging: Total cpu/real time for replay: 84.89/73.0439 Info:Linear Algebra: Total cpu/real time for bwc: 82666.8/21184.5 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 13513.44, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (68608 iterations) Info:Linear Algebra: Lingen CPU time 434.59, WCT time 126.35 Info:Linear Algebra: Mksol: WCT time 7329.58, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (34304 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 79.17/33.5318 Info:Square Root: Total cpu/real time for sqrt: 1559.88/451.029 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.34365e+06/151028 3879166744617579942562806200690866812001476712823689 2839677077102531261752115849004538801118331169 3242160907698279434061452354686848615533991879364536638379458019591429120575287052879005181023
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic\|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 11:11:14 UTC 2020 年 7 月 24 日 (金) 20 時 11 分 14 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:18:41 UTC 2020 年 7 月 24 日 (金) 20 時 18 分 41 秒 (日本時間)
40	3e6	0	-	-
45	11e6	2100 / 4425	Eric Jeancolas	July 24, 2020 11:19:06 UTC 2020 年 7 月 24 日 (金) 20 時 19 分 6 秒 (日本時間)

10²⁸⁹-8

c256

composite cofactor 合成数の残り

3678562940010534001297766284496061131802641362518924725786267245849255600216757906398656859163924850795765398991620078396889306791823440240686738069868129233245619507530523472472927697696618737851498731257613914915091332445231093927401145591106052656280529<256>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 11:11:31 UTC 2020 年 7 月 24 日 (金) 20 時 11 分 31 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:18:12 UTC 2020 年 7 月 24 日 (金) 20 時 18 分 12 秒 (日本時間)
40	3e6	2350	Ignacio Santos	December 14, 2021 14:22:36 UTC 2021 年 12 月 14 日 (火) 23 時 22 分 36 秒 (日本時間)

10²⁹⁰-8

c254

name 名前	Ignacio Santos
date 日付	December 14, 2021 14:23:18 UTC 2021 年 12 月 14 日 (火) 23 時 23 分 18 秒 (日本時間)
composite number 合成数	58409463290636298691444673134490940660251191315095506688270346033852740810779167381852537765379864165222461916170925760732805709691497069602293656365728543264714803363987303118915510992016902076124198575081443427011688763287903492586744117161013949233489<254>
prime factors 素因数	305534933426586540128966899139329639<36>
composite cofactor 合成数の残り	191171145752702723037921077890386437304449724788138200102883209176874775509970683236482964779268242408018891985820523340878509185121249243760328249498764988852477469652109490360071773616461231733996170396823384125622151<219>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3803022280 Step 1 took 15156ms Step 2 took 5782ms ********** Factor found in step 2: 305534933426586540128966899139329639 Found prime factor of 36 digits: 305534933426586540128966899139329639 Composite cofactor 191171145752702723037921077890386437304449724788138200102883209176874775509970683236482964779268242408018891985820523340878509185121249243760328249498764988852477469652109490360071773616461231733996170396823384125622151 has 219 digits
software ソフトウェア	GMP-ECM

c219

name 名前	Ignacio Santos
date 日付	December 15, 2021 16:31:09 UTC 2021 年 12 月 16 日 (木) 1 時 31 分 9 秒 (日本時間)
composite number 合成数	191171145752702723037921077890386437304449724788138200102883209176874775509970683236482964779268242408018891985820523340878509185121249243760328249498764988852477469652109490360071773616461231733996170396823384125622151<219>
prime factors 素因数	354309777726104014459217374541103439<36> 539559328505141783235120805596497415289634917965599502600493867284819744069625395659401072337351683011468681365112966830004131770636692760625274882702701437981610608691888744569460809<183>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1528190966 Step 1 took 11484ms Step 2 took 5110ms ********** Factor found in step 2: 354309777726104014459217374541103439 Found prime factor of 36 digits: 354309777726104014459217374541103439 Prime cofactor 539559328505141783235120805596497415289634917965599502600493867284819744069625395659401072337351683011468681365112966830004131770636692760625274882702701437981610608691888744569460809 has 183 digits
execution environment 実行環境	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 11:11:48 UTC 2020 年 7 月 24 日 (金) 20 時 11 分 48 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:17:52 UTC 2020 年 7 月 24 日 (金) 20 時 17 分 52 秒 (日本時間)

10²⁹⁵-8

c295

name 名前	ivelive
date 日付	August 13, 2020 06:28:20 UTC 2020 年 8 月 13 日 (木) 15 時 28 分 20 秒 (日本時間)
composite number 合成数	1249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<295>
prime factors 素因数	88215873623921080079264313233171022065929<41>
composite cofactor 合成数の残り	14169785421260549963334879601594206082699380556041331867052145737254101077736387279750193564930198328704882068534390628879228007756644292798123447431885265590938668610593722686216900869124847523197275775455207053928300358120672637439932607047741508997831<254>
factorization results 素因数分解の結果	GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM] Input number is 1249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (295 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3267456817 Step 1 took 11078ms Step 2 took 4359ms ********** Factor found in step 2: 88215873623921080079264313233171022065929 Found prime factor of 41 digits: 88215873623921080079264313233171022065929 Composite cofactor 14169785421260549963334879601594206082699380556041331867052145737254101077736387279750193564930198328704882068534390628879228007756644292798123447431885265590938668610593722686216900869124847523197275775455207053928300358120672637439932607047741508997831 has 254 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 11:12:23 UTC 2020 年 7 月 24 日 (金) 20 時 12 分 23 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:17:34 UTC 2020 年 7 月 24 日 (金) 20 時 17 分 34 秒 (日本時間)
40	3e6	2352	ivelive	August 13, 2020 02:28:20 UTC 2020 年 8 月 13 日 (木) 11 時 28 分 20 秒 (日本時間)

10²⁹⁶-8

c256

name 名前	Ignacio Santos
date 日付	December 14, 2021 14:38:12 UTC 2021 年 12 月 14 日 (火) 23 時 38 分 12 秒 (日本時間)
composite number 合成数	1155228634171794764109326669867108753780293346111286416357612044836690446035889258856143556788403369632918982202941197021975724938917097165840752137208941928227304603285374406560763342749621291998045214280607458488754371867688822079264271776469629225300833<256>
prime factors 素因数	17127833472497571042575450350749428821964637497<47>
composite cofactor 合成数の残り	67447446638640162729758611107615883970989879910735063243498010237619506241345789648112518509655664920026204467957091951119231725371641152881917935051194348237969806174837967489544655724856053863104802187478889<209>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3957683837 Step 1 took 15359ms Step 2 took 5844ms ********** Factor found in step 2: 17127833472497571042575450350749428821964637497 Found prime factor of 47 digits: 17127833472497571042575450350749428821964637497 Composite cofactor 67447446638640162729758611107615883970989879910735063243498010237619506241345789648112518509655664920026204467957091951119231725371641152881917935051194348237969806174837967489544655724856053863104802187478889 has 209 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
20	11e3	74	Eric Jeancolas	July 24, 2020 11:12:42 UTC 2020 年 7 月 24 日 (金) 20 時 12 分 42 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:16:56 UTC 2020 年 7 月 24 日 (金) 20 時 16 分 56 秒 (日本時間)
40	3e6	2350	Ignacio Santos	December 15, 2021 16:31:25 UTC 2021 年 12 月 16 日 (木) 1 時 31 分 25 秒 (日本時間)

10²⁹⁸-8

c296

composite cofactor 合成数の残り

15822784810126582278481012658227848101265822784810126582278481012658227848101265822784810126582278481012658227848101265822784810126582278481012658227848101265822784810126582278481012658227848101265822784810126582278481012658227848101265822784810126582278481012658227848101265822784810126582278481<296>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Eric Jeancolas	July 24, 2020 11:12:59 UTC 2020 年 7 月 24 日 (金) 20 時 12 分 59 秒 (日本時間)
25	5e4	0	-	-
30	25e4	0	-	-
35	1e6	1200	Eric Jeancolas	July 24, 2020 11:16:12 UTC 2020 年 7 月 24 日 (金) 20 時 16 分 12 秒 (日本時間)
40	3e6	2400	ebina	October 13, 2021 13:29:54 UTC 2021 年 10 月 13 日 (水) 22 時 29 分 54 秒 (日本時間)