Contributed factorization results of 55...55755...55

Table of contents 目次

5×10¹⁶¹+18×10⁸⁰-59
- c140
- ECM
5×10¹⁶⁵+18×10⁸²-59
- c132
- ECM
5×10¹⁶⁷+18×10⁸³-59
- c159
- ECM
5×10¹⁷¹+18×10⁸⁵-59
- c168
- ECM
5×10¹⁷⁷+18×10⁸⁸-59
- c145
- ECM
5×10¹⁸¹+18×10⁹⁰-59
- c159
- ECM
5×10²⁰¹+18×10¹⁰⁰-59
- c180
- ECM
5×10²⁰⁵+18×10¹⁰²-59
- c165
- ECM
5×10²¹⁵+18×10¹⁰⁷-59
- c145
- ECM
5×10²¹⁷+18×10¹⁰⁸-59
- c212
- ECM
5×10²²³+18×10¹¹¹-59
- c144
- ECM
5×10²²⁷+18×10¹¹³-59
- c201
- ECM
5×10²³¹+18×10¹¹⁵-59
- c219
- ECM
5×10²³⁷+18×10¹¹⁸-59
- c197
- ECM
5×10²⁴¹+18×10¹²⁰-59
- c222
- ECM
5×10²⁴⁹+18×10¹²⁴-59
- c225
- ECM
5×10²⁵¹+18×10¹²⁵-59
- c164
- ECM
5×10²⁵³+18×10¹²⁶-59
- c205
- ECM
5×10²⁵⁵+18×10¹²⁷-59
- c216
- ECM
5×10²⁵⁷+18×10¹²⁸-59
- c177
- ECM
5×10²⁵⁹+18×10¹²⁹-59
- c231
- ECM
5×10²⁶¹+18×10¹³⁰-59
- c175
- ECM
5×10²⁶⁷+18×10¹³³-59
- c215
- ECM
5×10²⁶⁹+18×10¹³⁴-59
- c178
- ECM
5×10²⁷¹+18×10¹³⁵-59
- c192
- ECM
5×10²⁷³+18×10¹³⁶-59
- c263
- ECM
5×10²⁷⁵+18×10¹³⁷-59
- c272
- ECM
5×10²⁷⁹+18×10¹³⁹-59
- c225
- ECM
5×10²⁸¹+18×10¹⁴⁰-59
- c259
- ECM
5×10²⁸³+18×10¹⁴¹-59
- c273
- ECM
5×10²⁸⁵+18×10¹⁴²-59
- c242
- ECM
5×10²⁸⁷+18×10¹⁴³-59
- c265
- ECM
5×10²⁸⁹+18×10¹⁴⁴-59
- c284
- ECM
5×10²⁹¹+18×10¹⁴⁵-59
- c265
- ECM
5×10²⁹³+18×10¹⁴⁶-59
- c264
- ECM
5×10²⁹⁹+18×10¹⁴⁹-59
- c273
- ECM
5×10³⁰¹+18×10¹⁵⁰-59
- c269
- ECM

5×10¹⁶¹+18×10⁸⁰-59

c140

name 名前	ebina
date 日付	March 26, 2022 01:02:33 UTC 2022 年 3 月 26 日 (土) 10 時 2 分 33 秒 (日本時間)
composite number 合成数	11426313585680240166035669094686425546174975782054241749995791293655634137875735296926530169154063308247561597943130433103569002957426816807<140>
prime factors 素因数	131531459833467076496164323115756166570624215001751791793280095781<66> 86871335573612409136126850699952951133154933105400498688734379653989677147<74>
factorization results 素因数分解の結果	Sat Mar 26 09:31:14 2022 Msieve v. 1.53 (SVN unknown) Sat Mar 26 09:31:14 2022 random seeds: b0ca4080 331dbc9e Sat Mar 26 09:31:14 2022 factoring 11426313585680240166035669094686425546174975782054241749995791293655634137875735296926530169154063308247561597943130433103569002957426816807 (140 digits) Sat Mar 26 09:31:15 2022 searching for 15-digit factors Sat Mar 26 09:31:15 2022 commencing number field sieve (140-digit input) Sat Mar 26 09:31:15 2022 R0: -10000000000000000000000000000000000000000 Sat Mar 26 09:31:15 2022 R1: 1 Sat Mar 26 09:31:15 2022 A0: -5 Sat Mar 26 09:31:15 2022 A1: 0 Sat Mar 26 09:31:15 2022 A2: 18 Sat Mar 26 09:31:15 2022 A3: 0 Sat Mar 26 09:31:15 2022 A4: 50 Sat Mar 26 09:31:15 2022 skew 0.56, size 1.423e-16, alpha -0.022, combined = 4.055e-10 rroots = 2 Sat Mar 26 09:31:15 2022 Sat Mar 26 09:31:15 2022 commencing square root phase Sat Mar 26 09:31:15 2022 reading relations for dependency 1 Sat Mar 26 09:31:15 2022 read 348019 cycles Sat Mar 26 09:31:16 2022 cycles contain 1175030 unique relations Sat Mar 26 09:31:26 2022 read 1175030 relations Sat Mar 26 09:31:29 2022 multiplying 1175030 relations Sat Mar 26 09:31:42 2022 multiply complete, coefficients have about 32.16 million bits Sat Mar 26 09:31:43 2022 initial square root is modulo 1719491351 Sat Mar 26 09:32:00 2022 GCD is N, no factor found Sat Mar 26 09:32:00 2022 reading relations for dependency 2 Sat Mar 26 09:32:00 2022 read 348498 cycles Sat Mar 26 09:32:00 2022 cycles contain 1175534 unique relations Sat Mar 26 09:32:10 2022 read 1175534 relations Sat Mar 26 09:32:13 2022 multiplying 1175534 relations Sat Mar 26 09:32:28 2022 multiply complete, coefficients have about 32.17 million bits Sat Mar 26 09:32:28 2022 initial square root is modulo 1734256021 Sat Mar 26 09:32:46 2022 GCD is 1, no factor found Sat Mar 26 09:32:46 2022 reading relations for dependency 3 Sat Mar 26 09:32:46 2022 read 347335 cycles Sat Mar 26 09:32:46 2022 cycles contain 1173000 unique relations Sat Mar 26 09:32:56 2022 read 1173000 relations Sat Mar 26 09:32:59 2022 multiplying 1173000 relations Sat Mar 26 09:33:14 2022 multiply complete, coefficients have about 32.10 million bits Sat Mar 26 09:33:14 2022 initial square root is modulo 1657862621 Sat Mar 26 09:33:31 2022 sqrtTime: 136 Sat Mar 26 09:33:31 2022 p66 factor: 131531459833467076496164323115756166570624215001751791793280095781 Sat Mar 26 09:33:31 2022 p74 factor: 86871335573612409136126850699952951133154933105400498688734379653989677147 Sat Mar 26 09:33:31 2022 elapsed time 00:02:17 Sat Mar 26 09:33:31 2022 -> Computing time scale for this machine... Sat Mar 26 09:33:31 2022 -> procrels -speedtest> PIPE Sat Mar 26 09:33:33 2022 -> Factorization summary written to s162-55755_80.txt

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10¹⁶⁵+18×10⁸²-59

c132

name 名前	Ignacio Santos
date 日付	April 1, 2022 15:03:46 UTC 2022 年 4 月 2 日 (土) 0 時 3 分 46 秒 (日本時間)
composite number 合成数	457376092199323045165212544502730571100431189470817921076494375218985414309525028494109325008554278328436920435267220959365584655917<132>
prime factors 素因数	19947714841564984360913939150783510243921909753049041861188587679<65> 22928746266529239990014335574104751194870901819411612731614735116723<68>
factorization results 素因数分解の結果	N=457376092199323045165212544502730571100431189470817921076494375218985414309525028494109325008554278328436920435267220959365584655917 ( 132 digits) SNFS difficulty: 165 digits. Divisors found: r1=19947714841564984360913939150783510243921909753049041861188587679 (pp65) r2=22928746266529239990014335574104751194870901819411612731614735116723 (pp68) Version: Msieve v. 1.52 (SVN 927) Total time: 46.85 hours. Scaled time: 364.60 units (timescale=7.782). Factorization parameters were as follows: n: 457376092199323045165212544502730571100431189470817921076494375218985414309525028494109325008554278328436920435267220959365584655917 m: 100000000000000000000000000000000000000000 deg: 4 c4: 50 c2: 18 c0: -5 skew: 0.56 # Murphy_E = 2.495e-10 type: snfs lss: 1 rlim: 4000000 alim: 4000000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [2000000, 6300001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 862460 x 862685 Total sieving time: 46.66 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.14 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,165.000,4,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000 total time: 46.85 hours.
software ソフトウェア	GNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10¹⁶⁷+18×10⁸³-59

c159

name 名前	Bob Backstrom
date 日付	March 19, 2022 00:07:26 UTC 2022 年 3 月 19 日 (土) 9 時 7 分 26 秒 (日本時間)
composite number 合成数	246205935148110879955744778604249247061010822939620522939879777789590738546184137798940753621742855819605758265396067757852848478704975295807259909370955136549<159>
prime factors 素因数	48593362013478080895243634486676723220262417268741417041974259488481232159<74> 5066657768602675745753160919899173608855866190687752177908586739679342106786967089211<85>
factorization results 素因数分解の結果	Number: n N=246205935148110879955744778604249247061010822939620522939879777789590738546184137798940753621742855819605758265396067757852848478704975295807259909370955136549 ( 159 digits) SNFS difficulty: 167 digits. Divisors found: Sat Mar 19 11:02:46 2022 p74 factor: 48593362013478080895243634486676723220262417268741417041974259488481232159 Sat Mar 19 11:02:46 2022 p85 factor: 5066657768602675745753160919899173608855866190687752177908586739679342106786967089211 Sat Mar 19 11:02:46 2022 elapsed time 00:10:29 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.322). Factorization parameters were as follows: # # N = 5x10^167+18x10^83-5 = 5(83)75(83) # n: 246205935148110879955744778604249247061010822939620522939879777789590738546184137798940753621742855819605758265396067757852848478704975295807259909370955136549 m: 100000000000000000000000000000000000000000 deg: 4 c4: 1000 c2: 36 c0: -1 skew: 0.18 # Murphy_E = 2.231e-10 type: snfs lss: 1 rlim: 4300000 alim: 4300000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 4300000/4300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 22150000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2513312 hash collisions in 15501122 relations (14239898 unique) Msieve: matrix is 646473 x 646698 (220.9 MB) Total sieving time: 1hrs 44min 1secs. Total relation processing time: 0hrs 6min 23sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 28sec. Prototype def-par.txt line would be: snfs,167,4,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved) [ 0.154131] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288) [ 0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS) Sieving start time : 2022/03/19 09:07:40 Sieving end time : 2022/03/19 10:51:41

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10¹⁷¹+18×10⁸⁵-59

c168

name 名前	Bob Backstrom
date 日付	March 20, 2022 13:17:25 UTC 2022 年 3 月 20 日 (日) 22 時 17 分 25 秒 (日本時間)
composite number 合成数	293169158604514805042509527997654646731163881559659923776018762826150688947522720609802403987100557021401348578129580768103195543828789211374963353855174435649369686309<168>
prime factors 素因数	7829475863952363295003739768753937297726483254432750964636491503<64> 37444289208974120365377254905774558791991521657730329565834503908647893401197991641527059283227036770603<104>
factorization results 素因数分解の結果	Number: n N=293169158604514805042509527997654646731163881559659923776018762826150688947522720609802403987100557021401348578129580768103195543828789211374963353855174435649369686309 ( 168 digits) SNFS difficulty: 171 digits. Divisors found: Mon Mar 21 00:10:50 2022 p64 factor: 7829475863952363295003739768753937297726483254432750964636491503 Mon Mar 21 00:10:50 2022 p104 factor: 37444289208974120365377254905774558791991521657730329565834503908647893401197991641527059283227036770603 Mon Mar 21 00:10:50 2022 elapsed time 00:11:10 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.316). Factorization parameters were as follows: # # N = 5x10^171+18x10^85-5 = 5(85)75(85) # n: 293169158604514805042509527997654646731163881559659923776018762826150688947522720609802403987100557021401348578129580768103195543828789211374963353855174435649369686309 m: 1000000000000000000000000000000000000000000 deg: 4 c4: 1000 c2: 36 c0: -1 skew: 0.18 # Murphy_E = 1.366e-10 type: snfs lss: 1 rlim: 5000000 alim: 5000000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 15300000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1910773 hash collisions in 15633478 relations (15197107 unique) Msieve: matrix is 613935 x 614160 (211.9 MB) Sieving start time : 2022/03/20 21:05:27 Sieving end time : 2022/03/20 23:58:58 Total sieving time: 2hrs 53min 31secs. Total relation processing time: 0hrs 5min 47sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 32sec. Prototype def-par.txt line would be: snfs,171,4,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved) [ 0.154131] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288) [ 0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10¹⁷⁷+18×10⁸⁸-59

c145

name 名前	Bob Backstrom
date 日付	April 30, 2022 21:00:35 UTC 2022 年 5 月 1 日 (日) 6 時 0 分 35 秒 (日本時間)
composite number 合成数	2199420578050187736535165326042858972060264929726228241217476548806718433917937813156287422161268238047398504555628650649435682763517963875150889<145>
prime factors 素因数	81517542663834852918513333093230720094965706173<47> 26980947979752555625316427070281039178254738342644703130982947705634260112482085052442130900201693<98>
factorization results 素因数分解の結果	Number: n N=2199420578050187736535165326042858972060264929726228241217476548806718433917937813156287422161268238047398504555628650649435682763517963875150889 ( 145 digits) SNFS difficulty: 177 digits. Divisors found: Sun May 1 06:47:41 2022 p47 factor: 81517542663834852918513333093230720094965706173 Sun May 1 06:47:41 2022 p98 factor: 26980947979752555625316427070281039178254738342644703130982947705634260112482085052442130900201693 Sun May 1 06:47:41 2022 elapsed time 00:25:33 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.339). Factorization parameters were as follows: # # N = 5x10^177+18x10^88-5 = 5(88)75(88) # n: 2199420578050187736535165326042858972060264929726228241217476548806718433917937813156287422161268238047398504555628650649435682763517963875150889 m: 100000000000000000000000000000 deg: 6 c6: 1000 c3: 36 c0: -1 skew: 0.32 # Murphy_E = 6.528e-11 type: snfs lss: 1 rlim: 6200000 alim: 6200000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6200000/6200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved special-q in [100000, 15900000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3708932 hash collisions in 29574315 relations (28004067 unique) Msieve: matrix is 817595 x 817826 (278.3 MB) Sieving start time : 2022/05/01 01:50:26 Sieving end time : 2022/05/01 06:20:16 Total sieving time: 4hrs 29min 50secs. Total relation processing time: 0hrs 9min 53sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 21sec. Prototype def-par.txt line would be: snfs,177,6,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.153503] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732) [ 0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10¹⁸¹+18×10⁹⁰-59

c159

name 名前	Bob Backstrom
date 日付	March 24, 2022 01:21:45 UTC 2022 年 3 月 24 日 (木) 10 時 21 分 45 秒 (日本時間)
composite number 合成数	110382353900807255400716895423200499317079701269803783178846174874163212571226641946628068747188384548711745893650329043586997047397813972702140842188794766067<159>
prime factors 素因数	2918189066074861687599221140568429886927726925713152593871<58> 37825634803463266949550623046289503059908053957513355105967304615090885283541884727739963984416178077<101>
factorization results 素因数分解の結果	Number: n N=110382353900807255400716895423200499317079701269803783178846174874163212571226641946628068747188384548711745893650329043586997047397813972702140842188794766067 ( 159 digits) SNFS difficulty: 181 digits. Divisors found: Thu Mar 24 12:17:48 2022 p58 factor: 2918189066074861687599221140568429886927726925713152593871 Thu Mar 24 12:17:48 2022 p101 factor: 37825634803463266949550623046289503059908053957513355105967304615090885283541884727739963984416178077 Thu Mar 24 12:17:48 2022 elapsed time 00:21:25 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.310). Factorization parameters were as follows: # # N = 5x10^181+18x10^90-5 = 5(90)75(90) # n: 110382353900807255400716895423200499317079701269803783178846174874163212571226641946628068747188384548711745893650329043586997047397813972702140842188794766067 m: 1000000000000000000000000000000 deg: 6 c6: 50 c3: 18 c0: -5 skew: 0.68 # Murphy_E = 5.843e-11 type: snfs lss: 1 rlim: 7500000 alim: 7500000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 7500000/7500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved special-q in [100000, 23750000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3511252 hash collisions in 30545891 relations (28533997 unique) Msieve: matrix is 898364 x 898591 (303.2 MB) Sieving start time : 2022/03/24 03:30:20 Sieving end time : 2022/03/24 11:55:07 Total sieving time: 8hrs 24min 47secs. Total relation processing time: 0hrs 12min 48sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 8sec. Prototype def-par.txt line would be: snfs,181,6,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved) [ 0.154131] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288) [ 0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²⁰¹+18×10¹⁰⁰-59

c180

name 名前	Bob Backstrom
date 日付	April 15, 2022 10:42:33 UTC 2022 年 4 月 15 日 (金) 19 時 42 分 33 秒 (日本時間)
composite number 合成数	245136589275603813301727955936638953226118759903645959220879166371588735616558194635082489846911505395996699198022862544918767607304746673878205782236512441877846092183610920200251<180>
prime factors 素因数	3699267461934627017714353972826313631853896141272266850181<58> 66266251845278397934273371824953970099830115154724143175390130042735365979678948710718995349956305032485445604501812065471<122>
factorization results 素因数分解の結果	Number: n N=245136589275603813301727955936638953226118759903645959220879166371588735616558194635082489846911505395996699198022862544918767607304746673878205782236512441877846092183610920200251 ( 180 digits) SNFS difficulty: 201 digits. Divisors found: Fri Apr 15 20:27:55 2022 p58 factor: 3699267461934627017714353972826313631853896141272266850181 Fri Apr 15 20:27:55 2022 p122 factor: 66266251845278397934273371824953970099830115154724143175390130042735365979678948710718995349956305032485445604501812065471 Fri Apr 15 20:27:55 2022 elapsed time 01:27:23 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.344). Factorization parameters were as follows: # # N = 5x10^201+18x10^100-5 = 5(100)75(100) # n: 245136589275603813301727955936638953226118759903645959220879166371588735616558194635082489846911505395996699198022862544918767607304746673878205782236512441877846092183610920200251 m: 1000000000000000000000000000000000 deg: 6 c6: 1000 c3: 36 c0: -1 skew: 0.32 # Murphy_E = 1.106e-11 type: snfs lss: 1 rlim: 15700000 alim: 15700000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 15700000/15700000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 56/56 Sieved special-q in [100000, 35050000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4096599 hash collisions in 31432596 relations (28889823 unique) Msieve: matrix is 1976524 x 1976749 (685.8 MB) Sieving start time : 2022/04/15 06:22:00 Sieving end time : 2022/04/15 18:59:56 Total sieving time: 12hrs 37min 56secs. Total relation processing time: 1hrs 15min 9sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 25sec. Prototype def-par.txt line would be: snfs,201,6,0,0,0,0,0,0,0,0,15700000,15700000,28,28,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.153503] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732) [ 0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²⁰⁵+18×10¹⁰²-59

c165

name 名前	Bob Backstrom
date 日付	November 7, 2023 13:51:13 UTC 2023 年 11 月 7 日 (火) 22 時 51 分 13 秒 (日本時間)
composite number 合成数	682239316184771235650628785960208752208653273174271894843443053264599532253821303786798124816318806288363094927465968744159580659302257790067355602660136886401223359<165>
prime factors 素因数	7234826999911225451240815229547327794573253708706186848552221210200634258987<76> 94299326879985190501817712341279835927478795477117590286668087182220844301955608741095357<89>
factorization results 素因数分解の結果	Number: n N=682239316184771235650628785960208752208653273174271894843443053264599532253821303786798124816318806288363094927465968744159580659302257790067355602660136886401223359 ( 165 digits) SNFS difficulty: 205 digits. Divisors found: Tue Nov 7 19:29:36 2023 prp76 factor: 7234826999911225451240815229547327794573253708706186848552221210200634258987 Tue Nov 7 19:29:36 2023 prp89 factor: 94299326879985190501817712341279835927478795477117590286668087182220844301955608741095357 Tue Nov 7 19:29:36 2023 elapsed time 02:36:17 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.105). Factorization parameters were as follows: # # N = 5x10^205+18x10^102-5 = 5(102)75(102) # n: 682239316184771235650628785960208752208653273174271894843443053264599532253821303786798124816318806288363094927465968744159580659302257790067355602660136886401223359 m: 10000000000000000000000000000000000 deg: 6 c6: 50 c3: 18 c0: -5 skew: 0.68 # Murphy_E = 9.736e-12 type: snfs lss: 1 rlim: 18800000 alim: 18800000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 18800000/18800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 42200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3227359 hash collisions in 19503216 relations (16593785 unique) Msieve: matrix is 2210889 x 2211114 (621.0 MB) Sieving start time: 2023/11/06 23:37:34 Sieving end time : 2023/11/07 16:52:52 Total sieving time: 17hrs 15min 18secs. Total relation processing time: 2hrs 24min 48sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 6min 18sec. Prototype def-par.txt line would be: snfs,205,6,0,0,0,0,0,0,0,0,18800000,18800000,27,27,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²¹⁵+18×10¹⁰⁷-59

c145

name 名前	Eric Jeancolas
date 日付	December 23, 2023 17:05:36 UTC 2023 年 12 月 24 日 (日) 2 時 5 分 36 秒 (日本時間)
composite number 合成数	2135617088283956912959342864971690028678239177945695249587335687459495596740276471755535854587778405934248830864244518877445262156275369686765499<145>
prime factors 素因数	3789166612406120739687654802366029878900831737438494624547<58> 563611291541450613400003874368952685017546598411981493235975440518733547808725019860617<87>
factorization results 素因数分解の結果	2135617088283956912959342864971690028678239177945695249587335687459495596740276471755535854587778405934248830864244518877445262156275369686765499=3789166612406120739687654802366029878900831737438494624547563611291541450613400003874368952685017546598411981493235975440518733547808725019860617 cado polynomial n: 2135617088283956912959342864971690028678239177945695249587335687459495596740276471755535854587778405934248830864244518877445262156275369686765499 skew: 143993.222 c0: -30718596298394440203708336118758 c1: -11285262004296144827179233 c2: 31764881518003069075376 c3: -29184593572698755 c4: 132117227774 c5: 1432200 Y0: -7308399806688442615489186768 Y1: 98175379056355611001 # MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.848e-07 # f(x) = 1432200x^5+132117227774x^4-29184593572698755x^3+31764881518003069075376x^2-11285262004296144827179233x-30718596298394440203708336118758 # g(x) = 98175379056355611001*x-7308399806688442615489186768 cado parameters (extracts) tasks.lim0 = 10000000 tasks.lim1 = 20000000 tasks.lpb0 = 29 tasks.lpb1 = 29 tasks.sieve.mfb0 = 58 tasks.sieve.mfb1 = 87 tasks.I = 13 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 563611291541450613400003874368952685017546598411981493235975440518733547808725019860617 3789166612406120739687654802366029878900831737438494624547 Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 2142.77/144.369 Info:HTTP server: Got notification to stop serving Workunits Info:Generate Factor Base: Total cpu/real time for makefb: 7.29/0.710237 Info:Generate Free Relations: Total cpu/real time for freerel: 219.59/15.1552 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 879.79/676.697 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 485.59999999999997s Info:Filtering - Merging: Merged matrix has 3442259 rows and total weight 585591035 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 694.38/46.473 Info:Filtering - Merging: Total cpu/real time for replay: 69.14/60.0125 Info:Square Root: Total cpu/real time for sqrt: 2142.77/144.369 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 194.63/162.837 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 162.3s Info:Filtering - Singleton removal: Total cpu/real time for purge: 657.1/474.616 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 3320.88 Info:Polynomial Selection (root optimized): Rootsieve time: 3319.42 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 48837695 Info:Lattice Sieving: Average J: 3776.81 for 1131905 special-q, max bucket fill -bkmult 1.0,1s:1.240510 Info:Lattice Sieving: Total time: 996762s Info:Quadratic Characters: Total cpu/real time for characters: 104.31/20.5953 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 81888.4 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56942/44.020/52.014/56.810/0.920 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 47137/42.500/46.437/52.740/1.037 Info:Polynomial Selection (size optimized): Total time: 29433.5 Info:Linear Algebra: Total cpu time for bwc: 142141 Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info) Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.91407e+06/100512 563611291541450613400003874368952685017546598411981493235975440518733547808725019860617 3789166612406120739687654802366029878900831737438494624547
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic\|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] 13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)
50	43e6	7114	660	Taiyo Kodama	April 2, 2022 15:32:18 UTC 2022 年 4 月 3 日 (日) 0 時 32 分 18 秒 (日本時間)
50	43e6	7114	6454	Ignacio Santos	June 15, 2022 10:28:47 UTC 2022 年 6 月 15 日 (水) 19 時 28 分 47 秒 (日本時間)

5×10²¹⁷+18×10¹⁰⁸-59

c212

composite cofactor 合成数の残り	78230733726051616638112448856657826593755622833986559959945864332261572281286426185391192783997121108998881328670781603260656981701831381476526868345498212427734359720559819130543625368662332684018243407104915237<212>

composite cofactor 合成数の残り

78230733726051616638112448856657826593755622833986559959945864332261572281286426185391192783997121108998881328670781603260656981701831381476526868345498212427734359720559819130543625368662332684018243407104915237<212>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²²³+18×10¹¹¹-59

c144

name 名前	ivelive
date 日付	July 2, 2022 04:09:24 UTC 2022 年 7 月 2 日 (土) 13 時 9 分 24 秒 (日本時間)
composite number 合成数	942547038527711450918036532688760947866476292236813787744630973489012878800311107656471058752974196398584668204063271874464839550101202983383091<144>
prime factors 素因数	1442507322140937085319022472422903983028324408351959609681083<61> 653408841716521916721911400613307425980002148980183147206351260884082902531253855977<84>
factorization results 素因数分解の結果	07/01/22 00:47:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 01:17:23 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 01:46:31 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 02:16:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 02:46:08 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 03:16:21 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 03:46:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 04:15:43 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 04:44:51 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 05:13:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 05:44:40 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 06:14:13 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 06:44:22 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 07:14:19 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 07:43:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 08:12:43 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 08:43:18 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 09:12:30 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 09:43:21 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 10:13:11 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 10:44:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 11:14:17 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 11:45:20 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 12:16:13 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 12:46:52 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 13:17:05 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 13:47:24 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 14:17:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 14:48:27 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 15:18:42 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 15:49:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 16:19:51 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 16:50:54 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 17:22:19 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 17:53:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 18:24:06 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 18:55:29 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 19:26:29 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 19:56:14 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 20:28:07 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 20:59:35 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 21:30:14 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 22:01:02 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 22:32:45 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 23:04:02 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/01/22 23:35:14 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/02/22 00:05:07 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering 07/02/22 00:08:23 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 22141184 07/02/22 00:08:23 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/02/22 00:39:50 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/02/22 01:11:04 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/02/22 01:42:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/02/22 02:14:09 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/02/22 02:46:04 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/02/22 03:18:04 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering 07/02/22 03:21:29 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 23336541 07/02/22 03:21:29 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/02/22 03:52:19 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/02/22 04:23:31 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/02/22 04:54:11 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/02/22 05:25:31 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/02/22 05:57:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/02/22 06:29:57 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering 07/02/22 06:33:32 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 24511655 07/02/22 06:33:33 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/02/22 07:05:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/02/22 07:37:09 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/02/22 08:07:58 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/02/22 08:38:11 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/02/22 09:11:02 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/02/22 09:42:02 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads 07/02/22 10:14:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering 07/02/22 10:20:07 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra 07/02/22 12:57:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt 07/02/22 13:03:02 v1.34.5 @ DESKTOP-RJPVCOL, prp84 = 653408841716521916721911400613307425980002148980183147206351260884082902531253855977 07/02/22 13:03:02 v1.34.5 @ DESKTOP-RJPVCOL, prp61 = 1442507322140937085319022472422903983028324408351959609681083

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)
50	43e6	6548		Ignacio Santos	June 15, 2022 15:18:42 UTC 2022 年 6 月 16 日 (木) 0 時 18 分 42 秒 (日本時間)

5×10²²⁷+18×10¹¹³-59

c201

composite cofactor 合成数の残り	163577208100343111954610752844388711445294591575321298853102941403475113432010206682667956303404713671051137405079069450688637250238799655027538841008732611597518683873445030689195424199217601104451389<201>

composite cofactor 合成数の残り

163577208100343111954610752844388711445294591575321298853102941403475113432010206682667956303404713671051137405079069450688637250238799655027538841008732611597518683873445030689195424199217601104451389<201>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²³¹+18×10¹¹⁵-59

c219

name 名前	ivelive
date 日付	March 16, 2022 13:34:24 UTC 2022 年 3 月 16 日 (水) 22 時 34 分 24 秒 (日本時間)
composite number 合成数	128628100819086264595231743631199278661464844205202867794589918871356104379068598953237823371861101225121840086450010034741186765653088763631465662166501104161970667287816199589925673938753883490394438024414417349700757<219>
prime factors 素因数	6200491983628430742294431489513789182421<40>
composite cofactor 合成数の残り	20744821726842249007818226705629969526522524211151279457766997256538063783726107547703587323082527376580240208956064102299728234552446796335199422288291992802649854016873403207617<179>
factorization results 素因数分解の結果	03/13/22 14:16:19 v1.34.5 @ DESKTOP-RJPVCOL, Starting factorization of 128628100819086264595231743631199278661464844205202867794589918871356104379068598953237823371861101225121840086450010034741186765653088763631465662166501104161970667287816199589925673938753883490394438024414417349700757 03/13/22 14:16:19 v1.34.5 @ DESKTOP-RJPVCOL, using pretesting plan: deep 03/13/22 14:16:19 v1.34.5 @ DESKTOP-RJPVCOL, no tune info: using qs/gnfs crossover of 95 digits 03/13/22 14:16:19 v1.34.5 @ DESKTOP-RJPVCOL, input indicated to have been pretested to t40.50 03/13/22 14:16:19 v1.34.5 @ DESKTOP-RJPVCOL, **************************** 03/13/22 14:16:19 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 3, starting 1000 iterations on C219 03/13/22 14:16:19 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 2, starting 1000 iterations on C219 03/13/22 14:16:19 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 1, starting 1000 iterations on C219 03/13/22 14:16:19 v1.34.5 @ DESKTOP-RJPVCOL, current ECM pretesting depth: 40.58 03/13/22 14:16:19 v1.34.5 @ DESKTOP-RJPVCOL, scheduled 4479 curves at B1=11000000 toward target pretesting depth of 73.00 03/13/22 14:17:37 v1.34.5 @ DESKTOP-RJPVCOL, prp40 = 6200491983628430742294431489513789182421 (curve 2 stg2 B1=11000000 sigma=441695581 thread=4) 03/13/22 14:17:37 v1.34.5 @ DESKTOP-RJPVCOL, Finished 16 curves using Lenstra ECM method on C219 input, B1=11M, B2=gmp-ecm default 03/13/22 14:17:37 v1.34.5 @ DESKTOP-RJPVCOL, current ECM pretesting depth: 40.60 03/13/22 14:17:37 v1.34.5 @ DESKTOP-RJPVCOL, scheduled 4463 curves at B1=11000000 toward target pretesting depth of 59.67 03/13/22 19:16:24 v1.34.5 @ DESKTOP-RJPVCOL, Finished 4464 curves using Lenstra ECM method on C179 input, B1=11M, B2=gmp-ecm default

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²³⁷+18×10¹¹⁸-59

c197

composite cofactor 合成数の残り	16170951048451394496773255634680580208996861148363510371962055692932139903370330466257297780847123137159282363618875518533775049789873313407640162509056610983028683586155375870171061929324821217977<197>

composite cofactor 合成数の残り

16170951048451394496773255634680580208996861148363510371962055692932139903370330466257297780847123137159282363618875518533775049789873313407640162509056610983028683586155375870171061929324821217977<197>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²⁴¹+18×10¹²⁰-59

c222

composite cofactor 合成数の残り	328745425177003896170198510872346148016868543894205072484384674615274859536722129568875391415111781923935704460880180176711575080936987864092787925711077811738594563866998895193903276710370095032211114412963216205944569391<222>

composite cofactor 合成数の残り

328745425177003896170198510872346148016868543894205072484384674615274859536722129568875391415111781923935704460880180176711575080936987864092787925711077811738594563866998895193903276710370095032211114412963216205944569391<222>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²⁴⁹+18×10¹²⁴-59

c225

composite cofactor 合成数の残り	792739896789210695670430965701474296424013027792429415219992362575068016612626669321723602811611665218593644209739976109577674400699944242708420005415222176342625842820288899646671058583090490095934815405610919007115833589123<225>

composite cofactor 合成数の残り

792739896789210695670430965701474296424013027792429415219992362575068016612626669321723602811611665218593644209739976109577674400699944242708420005415222176342625842820288899646671058583090490095934815405610919007115833589123<225>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²⁵¹+18×10¹²⁵-59

c164

composite cofactor 合成数の残り	58547191507775438257346940652783840617321410366872659235497362446997942717590042055884714188926832728156074424443570201464060648970935931696099162372586713225842557<164>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²⁵³+18×10¹²⁶-59

c205

composite cofactor 合成数の残り	9952351390886944018999321742128773550493073896860871007015536041354843721270467794547989937248002371801137902833738948557751947634352063881985124945993977087955397289476148963255481706679170365142267273399<205>

composite cofactor 合成数の残り

9952351390886944018999321742128773550493073896860871007015536041354843721270467794547989937248002371801137902833738948557751947634352063881985124945993977087955397289476148963255481706679170365142267273399<205>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²⁵⁵+18×10¹²⁷-59

c216

composite cofactor 合成数の残り	687611768912923406886331623171802152223982188590741845777692956283374313052196275767903519845015191202706928654104223345396736276351567694212741309133418226225174540076598799028523579648467407168938467886029141334423<216>

composite cofactor 合成数の残り

687611768912923406886331623171802152223982188590741845777692956283374313052196275767903519845015191202706928654104223345396736276351567694212741309133418226225174540076598799028523579648467407168938467886029141334423<216>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²⁵⁷+18×10¹²⁸-59

c177

composite cofactor 合成数の残り	884867999015039809717666512990903251257236475121312773995260929521746794204351529920350350254569087894783879514778280246655201047458743759322687467252367376431619326233386420253<177>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²⁵⁹+18×10¹²⁹-59

c231

composite cofactor 合成数の残り	852686750305583462143649544542638419155622371534863156101813749437797730463117663471007701691549097193215044944487723154943972783043593153766193899009359024306840495391610941727722338584971639903983614056362001535372104256889025341<231>

composite cofactor 合成数の残り

852686750305583462143649544542638419155622371534863156101813749437797730463117663471007701691549097193215044944487723154943972783043593153766193899009359024306840495391610941727722338584971639903983614056362001535372104256889025341<231>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²⁶¹+18×10¹³⁰-59

c175

composite cofactor 合成数の残り	2862023834938010881064158435027613993839270142389488064315414574904636176679433826000893725640163085948398592892051588001521055653697285189643509070944408312307646102634543839<175>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²⁶⁷+18×10¹³³-59

c215

composite cofactor 合成数の残り	65158426790489219024331849189622508745131214644586773629375663535564188832701710282360091011177664363093690470954795854324886832388487940742201651713857821143938954303657740749611304581084399476948730200430112663349<215>

composite cofactor 合成数の残り

65158426790489219024331849189622508745131214644586773629375663535564188832701710282360091011177664363093690470954795854324886832388487940742201651713857821143938954303657740749611304581084399476948730200430112663349<215>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²⁶⁹+18×10¹³⁴-59

c178

composite cofactor 合成数の残り	2807326550284841731177623615808221326116531870759349569121380141921576888588021569412990333743483541793330480033099227434411561320802028891154990849104051375499396456490558173017<178>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)
50	43e6	1792 / 6548		Dmitry Domanov	May 3, 2024 23:07:55 UTC 2024 年 5 月 4 日 (土) 8 時 7 分 55 秒 (日本時間)

5×10²⁷¹+18×10¹³⁵-59

c192

composite cofactor 合成数の残り	286975115180529294919703946571452661078485562036629876371424584558678268694187282103962978898314584624365842073121289785607585742654455486252611806047975120762111020125028941730121292856053373<192>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²⁷³+18×10¹³⁶-59

c263

composite cofactor 合成数の残り

47456598725784449085765289932405147572028155933774596092447493622788551228416898294364202784312312952909699350031002230888056262579505410083409996490673268067857207027447190590812934674477561348964777458200723407861251249367510731577665159311121157549674202991943<263>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²⁷⁵+18×10¹³⁷-59

c272

composite cofactor 合成数の残り

45724737082761774119798811156835848193872885230909922267946959304983996342021033379058070416095107453132144490169181527206218564243255601444901691815272062185642432556012802926383173296753543667123914037494284407864654778235025148605395518975765889346136259716506630086877<272>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²⁷⁹+18×10¹³⁹-59

c225

composite cofactor 合成数の残り

272871015669831023777035046630907496697378974172985561562549686511307419024544782039254410752468007811672141108622732930132710009118663735575653651088990826506814071796268264328412821656964515090996817531842056037568796861259<225>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²⁸¹+18×10¹⁴⁰-59

c259

composite cofactor 合成数の残り

1803734880417527048254309014223030171606649471243259440157236569333458971708171357511199419133447274177406085218128129808401640384775741613422867950681444783927282566278459411139688410334127780069746754893262514786562937333708473625197762826380585059225213761<259>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²⁸³+18×10¹⁴¹-59

c273

composite cofactor 合成数の残り

223986524971374478991252284595330752212651945266053280459498927042019548670486446091148713120910321917020385083767825759870343242582111358557012606468977266668337960041662575051618214888357494700761546168424944503077654670704858890635394923091460081515388706476267631600007<273>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²⁸⁵+18×10¹⁴²-59

c242

composite cofactor 合成数の残り

14377718003990750488227536083079131603158139824323338467632924563649420672016675395727574994223607721997054165560198123365915732054177314628664196659561580759722099533466921446480464629729627576392515840720516444678512387039529338770360092653<242>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²⁸⁷+18×10¹⁴³-59

c265

composite cofactor 合成数の残り

3127124603445446037688137806172074609214126561533011614711295776193322165190987222556045156142064933527096552269550144613095657015177464756130117649438577507989943934170174538691764498523638383073025242310068420996960556253363257011012291903380804383361270555893163<265>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²⁸⁹+18×10¹⁴⁴-59

c284

composite cofactor 合成数の残り

16362247060113259474150103982080067019763958223910806118825910599954512953172885138661862710929817413685056196137527958989663968532126453990179385204928963304388518283992977323561799389033694775370891235235117309130297482013799919170499523040498197698486328524468922366046373880617773<284>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²⁹¹+18×10¹⁴⁵-59

c265

composite cofactor 合成数の残り

5312249571047958365297833574575578698044376288432487805723426898963821386365055229289015436234629316688518996027075692576971963192966201109950619887562382109373110605591212385725435989729414423190894176633646265491085496859520933512193626452312281654432837979441351<265>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²⁹³+18×10¹⁴⁶-59

c264

composite cofactor 合成数の残り

216709549876752746894258180398720618919718364717592675144393047408027181783593739689522429869687253444903952252891210406963872956445688593935502010195885494258955855196094742819546860906849320974403141621608383165992705657100370990025636124791502486910604147923253<264>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10²⁹⁹+18×10¹⁴⁹-59

c273

composite cofactor 合成数の残り

257374505872285621202191170184907255859058678703635556036056919601540692763636126408390253634251288205586609792776948426548326750505133953612701580354731524247491274629235800583170617160527799951909011702121181560751138725604565379316386108175115911822315348535282297262257<273>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)

5×10³⁰¹+18×10¹⁵⁰-59

c269

composite cofactor 合成数の残り

11294054259787235170748014501715092690074442011030872231856367247950113112856604084834323501601808511776296498959580569806444484469837484687541908497228685628080158458364814408549451646611520720685266144151571584578869661531304059712318516160718169105116967026803206267<269>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
45	11e6	4480		John	March 16, 2022 11:00:00 UTC 2022 年 3 月 16 日 (水) 20 時 0 分 0 秒 (日本時間)