Table of contents 目次

43×10107-169

c106

name 名前Dmitry Domanov
date 日付June 29, 2022 18:53:46 UTC 2022 年 6 月 30 日 (木) 3 時 53 分 46 秒 (日本時間)
composite number 合成数
2297008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547<106>
prime factors 素因数
3066296609282822385596901790506324121909843889303647<52>
749114922559887466862597580405130183222289326924416701<54>
factorization results 素因数分解の結果
N=2297008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547
  ( 106 digits)
SNFS difficulty: 108 digits.
Divisors found:
p52 factor: 3066296609282822385596901790506324121909843889303647
p54 factor: 749114922559887466862597580405130183222289326924416701
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.15 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2297008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547
m: 500000000000000000000000000
deg: 4
c4: 43
c0: -10
skew: 0.69
# Murphy_E = 1.583e-07
type: snfs
lss: 1
rlim: 450000
alim: 450000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 450000/450000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [225000, 385001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 34270 x 34495
Total sieving time: 0.14 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,108.000,4,0,0,0,0,0,0,0,0,450000,450000,25,25,44,44,2.2,2.2,20000
total time: 0.15 hours.
 --------- CPU info (if available) ----------
[    0.116401] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071049] Memory: 15875048K/16489528K available (16393K kernel code, 3512K rwdata, 10500K rodata, 2900K init, 5728K bss, 614220K reserved, 0K cma-reserved)
[    0.133045] x86/mm: Memory block size: 128MB
[    0.112404] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.129790] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10112-169

c84

name 名前Eric Jeancolas
date 日付June 29, 2022 16:53:07 UTC 2022 年 6 月 30 日 (木) 1 時 53 分 7 秒 (日本時間)
composite number 合成数
413929855697353979551710637308682057994204400520945722362145456516151568526674803619<84>
prime factors 素因数
468315695492909136697508343166905784325957<42>
883869278098157134645888998308644292698567<42>
factorization results 素因数分解の結果
Wed Jun 29 18:19:24 2022  Msieve v. 1.53 (SVN 1005)
Wed Jun 29 18:19:24 2022  random seeds: 09011b10 768b1421
Wed Jun 29 18:19:24 2022  factoring 413929855697353979551710637308682057994204400520945722362145456516151568526674803619 (84 digits)
Wed Jun 29 18:19:24 2022  searching for 15-digit factors
Wed Jun 29 18:19:24 2022  commencing quadratic sieve (84-digit input)
Wed Jun 29 18:19:24 2022  using multiplier of 3
Wed Jun 29 18:19:24 2022  using generic 32kb sieve core
Wed Jun 29 18:19:24 2022  sieve interval: 12 blocks of size 32768
Wed Jun 29 18:19:24 2022  processing polynomials in batches of 17
Wed Jun 29 18:19:24 2022  using a sieve bound of 1399709 (53529 primes)
Wed Jun 29 18:19:24 2022  using large prime bound of 120374974 (26 bits)
Wed Jun 29 18:19:24 2022  using trial factoring cutoff of 27 bits
Wed Jun 29 18:19:24 2022  polynomial 'A' values have 11 factors
Wed Jun 29 18:51:12 2022  53646 relations (26548 full + 27098 combined from 288238 partial), need 53625
Wed Jun 29 18:51:12 2022  begin with 314786 relations
Wed Jun 29 18:51:13 2022  reduce to 77372 relations in 2 passes
Wed Jun 29 18:51:13 2022  attempting to read 77372 relations
Wed Jun 29 18:51:13 2022  recovered 77372 relations
Wed Jun 29 18:51:13 2022  recovered 72864 polynomials
Wed Jun 29 18:51:13 2022  attempting to build 53646 cycles
Wed Jun 29 18:51:13 2022  found 53646 cycles in 1 passes
Wed Jun 29 18:51:13 2022  distribution of cycle lengths:
Wed Jun 29 18:51:13 2022     length 1 : 26548
Wed Jun 29 18:51:13 2022     length 2 : 27098
Wed Jun 29 18:51:13 2022  largest cycle: 2 relations
Wed Jun 29 18:51:13 2022  matrix is 53529 x 53646 (8.2 MB) with weight 1721421 (32.09/col)
Wed Jun 29 18:51:13 2022  sparse part has weight 1721421 (32.09/col)
Wed Jun 29 18:51:14 2022  filtering completed in 3 passes
Wed Jun 29 18:51:14 2022  matrix is 40172 x 40235 (6.7 MB) with weight 1423268 (35.37/col)
Wed Jun 29 18:51:14 2022  sparse part has weight 1423268 (35.37/col)
Wed Jun 29 18:51:14 2022  saving the first 48 matrix rows for later
Wed Jun 29 18:51:14 2022  matrix includes 64 packed rows
Wed Jun 29 18:51:14 2022  matrix is 40124 x 40235 (4.4 MB) with weight 1062010 (26.40/col)
Wed Jun 29 18:51:14 2022  sparse part has weight 738123 (18.35/col)
Wed Jun 29 18:51:14 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Wed Jun 29 18:51:14 2022  commencing Lanczos iteration
Wed Jun 29 18:51:14 2022  memory use: 2.6 MB
Wed Jun 29 18:51:19 2022  lanczos halted after 635 iterations (dim = 40119)
Wed Jun 29 18:51:19 2022  recovered 15 nontrivial dependencies
Wed Jun 29 18:51:19 2022  p42 factor: 468315695492909136697508343166905784325957
Wed Jun 29 18:51:19 2022  p42 factor: 883869278098157134645888998308644292698567
Wed Jun 29 18:51:19 2022  elapsed time 00:31:55
software ソフトウェア
Msieve v. 1.53
execution environment 実行環境
Windows 10 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10125-169

c91

name 名前Ignacio Santos
date 日付June 30, 2022 12:36:50 UTC 2022 年 6 月 30 日 (木) 21 時 36 分 50 秒 (日本時間)
composite number 合成数
3446731257259820650126037570387763655988340950976307695595484515228778051657471313048350423<91>
prime factors 素因数
785574960644343682799637108798791466988109<42>
4387526881499310289775994117116368415207029837747<49>
factorization results 素因数分解の結果
prp49 = 4387526881499310289775994117116368415207029837747
prp42 = 785574960644343682799637108798791466988109
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10128-169

c99

name 名前Ignacio Santos
date 日付June 30, 2022 13:06:15 UTC 2022 年 6 月 30 日 (木) 22 時 6 分 15 秒 (日本時間)
composite number 合成数
713912310639764922451087166819491840541267714716349288102358657894390355446799298311622059489780889<99>
prime factors 素因数
581865304931296715217559843507551121847717474599<48>
1226937410753609983314475481924250725489404236059711<52>
factorization results 素因数分解の結果
prp52 = 1226937410753609983314475481924250725489404236059711
prp48 = 581865304931296715217559843507551121847717474599
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10131-169

c93

name 名前Ignacio Santos
date 日付June 30, 2022 12:40:44 UTC 2022 年 6 月 30 日 (木) 21 時 40 分 44 秒 (日本時間)
composite number 合成数
677362210234536714089012078119943754978660568678665774662223464137718972055560681109753506099<93>
prime factors 素因数
158845980546798728533278302727818921<36>
4264270382560761630748674683053689540264506546506044714619<58>
factorization results 素因数分解の結果
prp58 = 4264270382560761630748674683053689540264506546506044714619
prp36 = 158845980546798728533278302727818921
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10132-169

c89

name 名前Eric Jeancolas
date 日付June 29, 2022 16:01:49 UTC 2022 年 6 月 30 日 (木) 1 時 1 分 49 秒 (日本時間)
composite number 合成数
11702940905973559483832425020148408187863147893979539008771819960885717136665231004183899<89>
prime factors 素因数
922638311432030912420318248611409976173<39>
12684213045314988387178827053654978246327852345063<50>
factorization results 素因数分解の結果
Wed Jun 29 17:09:54 2022  Msieve v. 1.53 (SVN 1005)
Wed Jun 29 17:09:54 2022  random seeds: c8718b80 0c4a01cc
Wed Jun 29 17:09:54 2022  factoring 11702940905973559483832425020148408187863147893979539008771819960885717136665231004183899 (89 digits)
Wed Jun 29 17:09:55 2022  searching for 15-digit factors
Wed Jun 29 17:09:55 2022  commencing quadratic sieve (89-digit input)
Wed Jun 29 17:09:55 2022  using multiplier of 1
Wed Jun 29 17:09:55 2022  using generic 32kb sieve core
Wed Jun 29 17:09:55 2022  sieve interval: 28 blocks of size 32768
Wed Jun 29 17:09:55 2022  processing polynomials in batches of 8
Wed Jun 29 17:09:55 2022  using a sieve bound of 1537153 (58038 primes)
Wed Jun 29 17:09:55 2022  using large prime bound of 122972240 (26 bits)
Wed Jun 29 17:09:55 2022  using double large prime bound of 364462296550480 (42-49 bits)
Wed Jun 29 17:09:55 2022  using trial factoring cutoff of 49 bits
Wed Jun 29 17:09:55 2022  polynomial 'A' values have 11 factors
Wed Jun 29 17:59:55 2022  58377 relations (15745 full + 42632 combined from 620742 partial), need 58134
Wed Jun 29 17:59:55 2022  begin with 636487 relations
Wed Jun 29 17:59:56 2022  reduce to 141977 relations in 10 passes
Wed Jun 29 17:59:56 2022  attempting to read 141977 relations
Wed Jun 29 17:59:56 2022  recovered 141977 relations
Wed Jun 29 17:59:56 2022  recovered 121176 polynomials
Wed Jun 29 17:59:56 2022  attempting to build 58377 cycles
Wed Jun 29 17:59:56 2022  found 58377 cycles in 5 passes
Wed Jun 29 17:59:56 2022  distribution of cycle lengths:
Wed Jun 29 17:59:56 2022     length 1 : 15745
Wed Jun 29 17:59:56 2022     length 2 : 11194
Wed Jun 29 17:59:56 2022     length 3 : 10201
Wed Jun 29 17:59:56 2022     length 4 : 7825
Wed Jun 29 17:59:56 2022     length 5 : 5387
Wed Jun 29 17:59:56 2022     length 6 : 3588
Wed Jun 29 17:59:56 2022     length 7 : 2025
Wed Jun 29 17:59:56 2022     length 9+: 2412
Wed Jun 29 17:59:56 2022  largest cycle: 18 relations
Wed Jun 29 17:59:56 2022  matrix is 58038 x 58377 (14.9 MB) with weight 3440026 (58.93/col)
Wed Jun 29 17:59:56 2022  sparse part has weight 3440026 (58.93/col)
Wed Jun 29 17:59:57 2022  filtering completed in 3 passes
Wed Jun 29 17:59:57 2022  matrix is 54028 x 54092 (13.9 MB) with weight 3203111 (59.22/col)
Wed Jun 29 17:59:57 2022  sparse part has weight 3203111 (59.22/col)
Wed Jun 29 17:59:57 2022  saving the first 48 matrix rows for later
Wed Jun 29 17:59:57 2022  matrix includes 64 packed rows
Wed Jun 29 17:59:57 2022  matrix is 53980 x 54092 (9.5 MB) with weight 2550348 (47.15/col)
Wed Jun 29 17:59:57 2022  sparse part has weight 1944637 (35.95/col)
Wed Jun 29 17:59:57 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Wed Jun 29 17:59:57 2022  commencing Lanczos iteration
Wed Jun 29 17:59:57 2022  memory use: 5.8 MB
Wed Jun 29 18:00:04 2022  lanczos halted after 855 iterations (dim = 53980)
Wed Jun 29 18:00:04 2022  recovered 18 nontrivial dependencies
Wed Jun 29 18:00:04 2022  p39 factor: 922638311432030912420318248611409976173
Wed Jun 29 18:00:04 2022  p50 factor: 12684213045314988387178827053654978246327852345063
Wed Jun 29 18:00:04 2022  elapsed time 00:50:10
software ソフトウェア
Msieve v. 1.53
execution environment 実行環境
Windows 10 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10134-169

c122

name 名前Bob Backstrom
date 日付June 30, 2022 07:34:34 UTC 2022 年 6 月 30 日 (木) 16 時 34 分 34 秒 (日本時間)
composite number 合成数
51753774931692903879220187752307680969963688346685821014401307178692597427104266934307249952108617523920280160064213321649<122>
prime factors 素因数
171646043764262691441151600116666548628439<42>
301514522541347506468157670347724920620696997831576141419075547926918289904318391<81>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 51753774931692903879220187752307680969963688346685821014401307178692597427104266934307249952108617523920280160064213321649 (122 digits)
Using B1=17760000, B2=58560416470, polynomial Dickson(12), sigma=1:481129214
Step 1 took 26697ms
Step 2 took 11966ms
********** Factor found in step 2: 171646043764262691441151600116666548628439
Found prime factor of 42 digits: 171646043764262691441151600116666548628439
Prime cofactor 301514522541347506468157670347724920620696997831576141419075547926918289904318391 has 81 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10140-169

c83

name 名前Eric Jeancolas
date 日付June 29, 2022 15:22:06 UTC 2022 年 6 月 30 日 (木) 0 時 22 分 6 秒 (日本時間)
composite number 合成数
15152800847518600282601892735950725441192611367302663126209121654958634396171827547<83>
prime factors 素因数
906297091082255657523305611157114773<36>
16719463183340759332768837302577116352205121839<47>
factorization results 素因数分解の結果
Wed Jun 29 16:59:30 2022  Msieve v. 1.53 (SVN 1005)
Wed Jun 29 16:59:30 2022  random seeds: c8480c8c bacef588
Wed Jun 29 16:59:30 2022  factoring 15152800847518600282601892735950725441192611367302663126209121654958634396171827547 (83 digits)
Wed Jun 29 16:59:30 2022  searching for 15-digit factors
Wed Jun 29 16:59:30 2022  commencing quadratic sieve (83-digit input)
Wed Jun 29 16:59:30 2022  using multiplier of 3
Wed Jun 29 16:59:30 2022  using generic 32kb sieve core
Wed Jun 29 16:59:30 2022  sieve interval: 12 blocks of size 32768
Wed Jun 29 16:59:30 2022  processing polynomials in batches of 17
Wed Jun 29 16:59:30 2022  using a sieve bound of 1359401 (51970 primes)
Wed Jun 29 16:59:30 2022  using large prime bound of 125064892 (26 bits)
Wed Jun 29 16:59:30 2022  using trial factoring cutoff of 27 bits
Wed Jun 29 16:59:30 2022  polynomial 'A' values have 11 factors
Wed Jun 29 17:16:58 2022  52118 relations (26305 full + 25813 combined from 278882 partial), need 52066
Wed Jun 29 17:16:59 2022  begin with 305187 relations
Wed Jun 29 17:16:59 2022  reduce to 74736 relations in 2 passes
Wed Jun 29 17:16:59 2022  attempting to read 74736 relations
Wed Jun 29 17:16:59 2022  recovered 74736 relations
Wed Jun 29 17:16:59 2022  recovered 68540 polynomials
Wed Jun 29 17:16:59 2022  attempting to build 52118 cycles
Wed Jun 29 17:16:59 2022  found 52118 cycles in 1 passes
Wed Jun 29 17:16:59 2022  distribution of cycle lengths:
Wed Jun 29 17:16:59 2022     length 1 : 26305
Wed Jun 29 17:17:00 2022     length 2 : 25813
Wed Jun 29 17:17:00 2022  largest cycle: 2 relations
Wed Jun 29 17:17:00 2022  matrix is 51970 x 52118 (7.9 MB) with weight 1662680 (31.90/col)
Wed Jun 29 17:17:00 2022  sparse part has weight 1662680 (31.90/col)
Wed Jun 29 17:17:00 2022  filtering completed in 3 passes
Wed Jun 29 17:17:00 2022  matrix is 38238 x 38300 (6.3 MB) with weight 1348765 (35.22/col)
Wed Jun 29 17:17:00 2022  sparse part has weight 1348765 (35.22/col)
Wed Jun 29 17:17:00 2022  saving the first 48 matrix rows for later
Wed Jun 29 17:17:00 2022  matrix includes 64 packed rows
Wed Jun 29 17:17:00 2022  matrix is 38190 x 38300 (4.2 MB) with weight 1007410 (26.30/col)
Wed Jun 29 17:17:00 2022  sparse part has weight 710258 (18.54/col)
Wed Jun 29 17:17:00 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Wed Jun 29 17:17:00 2022  commencing Lanczos iteration
Wed Jun 29 17:17:00 2022  memory use: 2.5 MB
Wed Jun 29 17:17:05 2022  lanczos halted after 605 iterations (dim = 38190)
Wed Jun 29 17:17:05 2022  recovered 18 nontrivial dependencies
Wed Jun 29 17:17:05 2022  p36 factor: 906297091082255657523305611157114773
Wed Jun 29 17:17:05 2022  p47 factor: 16719463183340759332768837302577116352205121839
Wed Jun 29 17:17:05 2022  elapsed time 00:17:35
software ソフトウェア
Msieve v. 1.53
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10143-169

c131

name 名前Eric Jeancolas
date 日付July 5, 2022 03:34:45 UTC 2022 年 7 月 5 日 (火) 12 時 34 分 45 秒 (日本時間)
composite number 合成数
45983503096096409810530215129206284694395509094701223108423801991027059277956419825290707181835449381200322653798183476477730053559<131>
prime factors 素因数
31991675191981419065603201487734529633464902257471724931156599<62>
1437358400901181457352739654479836720876760235207058009807477639567041<70>
factorization results 素因数分解の結果
45983503096096409810530215129206284694395509094701223108423801991027059277956419825290707181835449381200322653798183476477730053559=31991675191981419065603201487734529633464902257471724931156599*1437358400901181457352739654479836720876760235207058009807477639567041

cado polynomial
n: 45983503096096409810530215129206284694395509094701223108423801991027059277956419825290707181835449381200322653798183476477730053559
skew: 0.69
type: snfs
c0: -10
c4: 43
Y0: 500000000000000000000000000000000000
Y1: -1
# f(x) = 43*x^4-10
# g(x) = -x+500000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1790000
tasks.lim1 = 1790000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1437358400901181457352739654479836720876760235207058009807477639567041 31991675191981419065603201487734529633464902257471724931156599
Info:Square Root: Total cpu/real time for sqrt: 32.86/10.3634
Info:Filtering - Singleton removal: Total cpu/real time for purge: 35.66/41.3462
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6037122
Info:Lattice Sieving: Average J: 1896.82 for 116216 special-q, max bucket fill -bkmult 1.0,1s:1.311440
Info:Lattice Sieving: Total time: 20571.2s
Info:Linear Algebra: Total cpu/real time for bwc: 608.19/212.21
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 358.57, WCT time 141.7, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6784 iterations)
Info:Linear Algebra: Lingen CPU time 28.94, WCT time 7.37
Info:Linear Algebra: Mksol: CPU time 202.62,  WCT time 52.57, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3328 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.41/25.4202
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.79/30.3607
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.3s
Info:Filtering - Merging: Merged matrix has 212657 rows and total weight 36242702 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 43.78/19.601
Info:Filtering - Merging: Total cpu/real time for replay: 7.02/7.1593
Info:Generate Factor Base: Total cpu/real time for makefb: 0.92/1.24087
Info:Quadratic Characters: Total cpu/real time for characters: 6.86/2.67037
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.35/58.1498
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 49.3s
Info:Square Root: Total cpu/real time for sqrt: 32.86/10.3634
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 19489.3/10816.3
Info:root: Cleaning up computation data in /tmp/cado.10bx4b81
1437358400901181457352739654479836720876760235207058009807477639567041 31991675191981419065603201487734529633464902257471724931156599
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10146-169

c100

name 名前Dmitry Domanov
date 日付June 30, 2022 09:13:46 UTC 2022 年 6 月 30 日 (木) 18 時 13 分 46 秒 (日本時間)
composite number 合成数
2557096161078034237876144609665498769537678517018028810653962032183150279008039449592886649972539967<100>
prime factors 素因数
635529335962175503474852181529570599784646237<45>
4023569041398623510750445017394175663734648656708905291<55>
factorization results 素因数分解の結果
N=2557096161078034237876144609665498769537678517018028810653962032183150279008039449592886649972539967
  ( 100 digits)
Divisors found:
p45 factor: 635529335962175503474852181529570599784646237
p55 factor: 4023569041398623510750445017394175663734648656708905291
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.84 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2557096161078034237876144609665498769537678517018028810653962032183150279008039449592886649972539967
skew: 844571.37
c0: 1386137756200877674720617727
c1: 4661143810728862075278
c2: -17395599672944903
c3: -16623134342
c4: 10920
Y0: -695634817704426538368160
Y1: 865287025121
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [900000, 1250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 183182 x 183409
Total sieving time: 1.78 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,99,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,52,52,2.5,2.5,100000
total time: 1.84 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10147-169

c112

name 名前Eric Jeancolas
date 日付July 5, 2022 10:09:33 UTC 2022 年 7 月 5 日 (火) 19 時 9 分 33 秒 (日本時間)
composite number 合成数
4038350584273074489001120356553686356665843986586183024311962518888886025099114225907370717556434441587857103351<112>
prime factors 素因数
5314535431005223958372150082876182902432093<43>
759868973817197036034514475321522724001710210353238165494756598615907<69>
factorization results 素因数分解の結果
4038350584273074489001120356553686356665843986586183024311962518888886025099114225907370717556434441587857103351=5314535431005223958372150082876182902432093*759868973817197036034514475321522724001710210353238165494756598615907

cado polynomial
n: 4038350584273074489001120356553686356665843986586183024311962518888886025099114225907370717556434441587857103351
skew: 0.69
type: snfs
c0: -10
c4: 43
Y0: 5000000000000000000000000000000000000
Y1: -1
# f(x) = 43*x^4-10
# g(x) = -x+5000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2100000
tasks.lim1 = 2100000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 5314535431005223958372150082876182902432093 759868973817197036034514475321522724001710210353238165494756598615907
Info:Square Root: Total cpu/real time for sqrt: 42.42/14.4502
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6066058
Info:Lattice Sieving: Average J: 1897.28 for 170623 special-q, max bucket fill -bkmult 1.0,1s:1.313890
Info:Lattice Sieving: Total time: 14861s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.29/11.2208
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.07/24.2353
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 24.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.8/47.0369
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 37.400000000000006s
Info:Filtering - Merging: Merged matrix has 265232 rows and total weight 45231858 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 54.83/15.3971
Info:Filtering - Merging: Total cpu/real time for replay: 8.39/7.02312
Info:Linear Algebra: Total cpu/real time for bwc: 928.96/243.36
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 555.92, WCT time 143.68, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8320 iterations)
Info:Linear Algebra: Lingen CPU time 42.07, WCT time 10.68
Info:Linear Algebra: Mksol: CPU time 308.27,  WCT time 79.71, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4224 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.07/0.584803
Info:Quadratic Characters: Total cpu/real time for characters: 8.5/4.07185
Info:Square Root: Total cpu/real time for sqrt: 42.42/14.4502
Info:Filtering - Singleton removal: Total cpu/real time for purge: 34.26/33.5166
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 28283.6/7964.21
Info:root: Cleaning up computation data in /tmp/cado.rbjxwm2x
5314535431005223958372150082876182902432093 759868973817197036034514475321522724001710210353238165494756598615907
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10150-169

c106

name 名前Eric Jeancolas
date 日付July 2, 2022 08:49:11 UTC 2022 年 7 月 2 日 (土) 17 時 49 分 11 秒 (日本時間)
composite number 合成数
3913269738181740725687023948854283782674765705862918363513366391933308399600573110746403211910178303068847<106>
prime factors 素因数
5180268382642720628526749861362087258914499342620029<52>
755418339191410985841329091661102993325629869677324443<54>
factorization results 素因数分解の結果
3913269738181740725687023948854283782674765705862918363513366391933308399600573110746403211910178303068847=5180268382642720628526749861362087258914499342620029*755418339191410985841329091661102993325629869677324443

cado polynomial
n: 3913269738181740725687023948854283782674765705862918363513366391933308399600573110746403211910178303068847
skew: 3610.173
c0: 4948353334819103651784
c1: -17878126524205270134
c2: -23821933465058181
c3: 3172808588961
c4: 658922120
c5: -74400
Y0: -291819322039698051554
Y1: 191797685868287
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 2.987e-06
# f(x) = -74400*x^5+658922120*x^4+3172808588961*x^3-23821933465058181*x^2-17878126524205270134*x+4948353334819103651784
# g(x) = 191797685868287*x-291819322039698051554

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 755418339191410985841329091661102993325629869677324443 5180268382642720628526749861362087258914499342620029
Info:Square Root: Total cpu/real time for sqrt: 69.87/21.0459
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 59.02/62.3694
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 45.4s
Info:Square Root: Total cpu/real time for sqrt: 69.87/21.0459
Info:Filtering - Singleton removal: Total cpu/real time for purge: 36.64/42.3199
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4932697
Info:Lattice Sieving: Average J: 1894.5 for 55982 special-q, max bucket fill -bkmult 1.0,1s:1.279370
Info:Lattice Sieving: Total time: 5198s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.44/0.39598
Info:Linear Algebra: Total cpu/real time for bwc: 673.83/175.06
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 399.65, WCT time 102.41, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7424 iterations)
Info:Linear Algebra: Lingen CPU time 32.74, WCT time 8.37
Info:Linear Algebra: Mksol: CPU time 223.7,  WCT time 57.38, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3712 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.78/16.4161
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.91/19.8167
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 148.74
Info:Polynomial Selection (root optimized): Rootsieve time: 148.12
Info:Filtering - Merging: Merged matrix has 236199 rows and total weight 34263083 (145.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 30.55/9.46879
Info:Filtering - Merging: Total cpu/real time for replay: 7.53/6.01869
Info:Quadratic Characters: Total cpu/real time for characters: 8.99/3.45316
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9952/31.090/37.342/42.730/1.062
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7625/29.890/33.166/37.770/0.890
Info:Polynomial Selection (size optimized): Total time: 493.61
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 10942.6/3103.89
Info:root: Cleaning up computation data in /tmp/cado.p2tplhoh
755418339191410985841329091661102993325629869677324443 5180268382642720628526749861362087258914499342620029
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10153-169

c107

name 名前Eric Jeancolas
date 日付June 30, 2022 17:52:27 UTC 2022 年 7 月 1 日 (金) 2 時 52 分 27 秒 (日本時間)
composite number 合成数
21673857076485682488692896392448986685507448829469697354486245836739744402172387705838995102808335318052671<107>
prime factors 素因数
110636827535170832175314781960657704977039<42>
195900927018136739880302694462346183752765823451994622754258935889<66>
factorization results 素因数分解の結果
21673857076485682488692896392448986685507448829469697354486245836739744402172387705838995102808335318052671=110636827535170832175314781960657704977039*195900927018136739880302694462346183752765823451994622754258935889

cado polynomial
n: 21673857076485682488692896392448986685507448829469697354486245836739744402172387705838995102808335318052671
skew: 4741.313
c0: -58929529452230938163820
c1: 113233375179804805781
c2: 8336631535770960
c3: -14217804522569
c4: -332304240
c5: 59400
Y0: -405392826069231715518
Y1: 18196853325301
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.290e-06
# f(x) = 59400*x^5-332304240*x^4-14217804522569*x^3+8336631535770960*x^2+113233375179804805781*x-58929529452230938163820
# g(x) = 18196853325301*x-405392826069231715518

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.sieve.ncurves0 = 13
tasks.sieve.ncurves1 = 16
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 195900927018136739880302694462346183752765823451994622754258935889 110636827535170832175314781960657704977039
Info:Square Root: Total cpu/real time for sqrt: 122.04/35.6
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10040/30.380/37.712/46.580/1.096
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7844/29.610/33.417/38.110/0.908
Info:Polynomial Selection (size optimized): Total time: 489.68
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 53.81/57.6125
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 41.6s
Info:Quadratic Characters: Total cpu/real time for characters: 8.33/3.1975
Info:Square Root: Total cpu/real time for sqrt: 122.04/35.6
Info:Linear Algebra: Total cpu/real time for bwc: 580.45/151.47
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 341.72, WCT time 87.98, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7040 iterations)
Info:Linear Algebra: Lingen CPU time 29.7, WCT time 7.59
Info:Linear Algebra: Mksol: CPU time 192.73,  WCT time 49.55, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3584 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 30.67/35.3889
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4898307
Info:Lattice Sieving: Average J: 1892.78 for 51042 special-q, max bucket fill -bkmult 1.0,1s:1.338950
Info:Lattice Sieving: Total time: 4861.05s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.52/0.412314
Info:Generate Free Relations: Total cpu/real time for freerel: 62.23/16.3205
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.89/18.8902
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.599999999999998s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 149.01
Info:Polynomial Selection (root optimized): Rootsieve time: 148.41
Info:Filtering - Merging: Merged matrix has 223936 rows and total weight 32714045 (146.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 29/8.93945
Info:Filtering - Merging: Total cpu/real time for replay: 7.04/5.67822
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 10292/2957.84
Info:root: Cleaning up computation data in /tmp/cado.h3yi6iju
195900927018136739880302694462346183752765823451994622754258935889 110636827535170832175314781960657704977039
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10155-169

c140

name 名前Bob Backstrom
date 日付July 1, 2022 10:25:46 UTC 2022 年 7 月 1 日 (金) 19 時 25 分 46 秒 (日本時間)
composite number 合成数
17546576258898606921862698190926013299235864139836751758369538126400880548324172586390750849111085532453313861156346441591088700664023109097<140>
prime factors 素因数
4436590329770153568525930120759671804039<40>
99628601597049818199283310055275798654342197<44>
39697122312111567474195247126142622270803492815277364659<56>
factorization results 素因数分解の結果
Number: n
N=176119868969617180233928636093353917201277518409459934149308559645195343725435759670664192057701  ( 96 digits)
SNFS difficulty: 156 digits.
Divisors found:

Fri Jul  1 20:20:50 2022  p40 factor: 4436590329770153568525930120759671804039
Fri Jul  1 20:20:50 2022  p56 factor: 39697122312111567474195247126142622270803492815277364659
Fri Jul  1 20:20:50 2022  elapsed time 00:06:49 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 43x10^155-16 = 47(154)6
#
# n: 17546576258898606921862698190926013299235864139836751758369538126400880548324172586390750849111085532453313861156346441591088700664023109097
#
# #GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 17546576258898606921862698190926013299235864139836751758369538126400880548324172586390750849111085532453313861156346441591088700664023109097 (140 digits)
# Using B1=19370000, B2=70271655100, polynomial Dickson(12), sigma=1:138383759
# Step 1 took 38999ms
# Step 2 took 149ms
# ********** Factor found in step 2: 99628601597049818199283310055275798654342197
# Found prime factor of 44 digits: 99628601597049818199283310055275798654342197
# Composite cofactor 176119868969617180233928636093353917201277518409459934149308559645195343725435759670664192057701 has 96 digits
#
n: 176119868969617180233928636093353917201277518409459934149308559645195343725435759670664192057701
m: 10000000000000000000000000000000
deg: 5
c5: 43
c0: -16
skew: 0.82
# Murphy_E = 8.417e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1251793 hash collisions in 14048576 relations (13719762 unique)
Msieve: matrix is 383465 x 383694 (128.2 MB)

Sieving start time : 2022/07/01 19:37:22
Sieving end time  : 2022/07/01 20:13:45

Total sieving time: 0hrs 36min 23secs.

Total relation processing time: 0hrs 2min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 10sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10158-169

c145

name 名前Bob Backstrom
date 日付July 1, 2022 05:20:34 UTC 2022 年 7 月 1 日 (金) 14 時 20 分 34 秒 (日本時間)
composite number 合成数
3869141194958326880490617150907722660585162037980653452385976085361366389971942094786764852409628515590557266459143832870231557294955935694294211<145>
prime factors 素因数
2394254288191719716636989158247138985384791024705386343<55>
1616010970113173590865572067689136813905753830124312564181579908643160371319279739442180677<91>
factorization results 素因数分解の結果
Number: n
N=3869141194958326880490617150907722660585162037980653452385976085361366389971942094786764852409628515590557266459143832870231557294955935694294211  ( 145 digits)
SNFS difficulty: 158 digits.
Divisors found:

Fri Jul  1 15:17:07 2022  p55 factor: 2394254288191719716636989158247138985384791024705386343
Fri Jul  1 15:17:07 2022  p91 factor: 1616010970113173590865572067689136813905753830124312564181579908643160371319279739442180677
Fri Jul  1 15:17:07 2022  elapsed time 00:06:32 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 43x10^158-16 = 47(157)6
#
n: 3869141194958326880490617150907722660585162037980653452385976085361366389971942094786764852409628515590557266459143832870231557294955935694294211
m: 10000000000000000000000000000000
deg: 5
c5: 5375
c0: -2
skew: 0.21
# Murphy_E = 6.102e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1445925 hash collisions in 14234862 relations (13681940 unique)
Msieve: matrix is 436968 x 437193 (146.4 MB)

Sieving start time : 2022/07/01 14:21:33
Sieving end time  : 2022/07/01 15:10:20

Total sieving time: 0hrs 48min 47secs.

Total relation processing time: 0hrs 2min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 24sec.

Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10159-169

c131

name 名前Bob Backstrom
date 日付July 1, 2022 12:44:42 UTC 2022 年 7 月 1 日 (金) 21 時 44 分 42 秒 (日本時間)
composite number 合成数
44173727469509117923804750456936834081007723610406851020940737328445530498266380124544524807972639942754292544660386029457487143003<131>
prime factors 素因数
7776181414154045021093139197206449416685772960908876730423919<61>
5680645180050070629334895531554391151295084697183596804313188467982037<70>
factorization results 素因数分解の結果
Number: n
N=44173727469509117923804750456936834081007723610406851020940737328445530498266380124544524807972639942754292544660386029457487143003  ( 131 digits)
SNFS difficulty: 160 digits.
Divisors found:

Fri Jul  1 22:39:03 2022  p61 factor: 7776181414154045021093139197206449416685772960908876730423919
Fri Jul  1 22:39:03 2022  p70 factor: 5680645180050070629334895531554391151295084697183596804313188467982037
Fri Jul  1 22:39:03 2022  elapsed time 00:07:07 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 43x10^159-16 = 47(158)6
#
n: 44173727469509117923804750456936834081007723610406851020940737328445530498266380124544524807972639942754292544660386029457487143003
m: 50000000000000000000000000000000
deg: 5
c5: 43
c0: -5
skew: 0.65
# Murphy_E = 6.163e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1192845 hash collisions in 13635047 relations (13337433 unique)
Msieve: matrix is 449266 x 449498 (152.8 MB)

Sieving start time : 2022/07/01 21:51:41
Sieving end time  : 2022/07/01 22:31:42

Total sieving time: 0hrs 40min 1secs.

Total relation processing time: 0hrs 3min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 47sec.

Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10160-169

c144

name 名前Bob Backstrom
date 日付July 2, 2022 13:39:53 UTC 2022 年 7 月 2 日 (土) 22 時 39 分 53 秒 (日本時間)
composite number 合成数
380706320597351117780488205123866649526382639519933233350284124449717997520294420907088711375798517095683164741378501974592404230355617996238053<144>
prime factors 素因数
1127893672714160879947016330068725431<37>
6130916245475883458113535597136826827621550693<46>
55054971676210908645129919177109047300822037275513258707616391<62>
factorization results 素因数分解の結果
Number: n
N=380706320597351117780488205123866649526382639519933233350284124449717997520294420907088711375798517095683164741378501974592404230355617996238053  ( 144 digits)
SNFS difficulty: 161 digits.
Divisors found:

Sat Jul  2 23:35:56 2022  found factor: 55054971676210908645129919177109047300822037275513258707616391
Sat Jul  2 23:36:47 2022  p37 factor: 1127893672714160879947016330068725431
Sat Jul  2 23:36:47 2022  p46 factor: 6130916245475883458113535597136826827621550693
Sat Jul  2 23:36:47 2022  p62 factor: 55054971676210908645129919177109047300822037275513258707616391
Sat Jul  2 23:36:47 2022  elapsed time 00:08:13 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 43x10^160-16 = 47(159)6
#
n: 380706320597351117780488205123866649526382639519933233350284124449717997520294420907088711375798517095683164741378501974592404230355617996238053
m: 100000000000000000000000000000000
deg: 5
c5: 43
c0: -16
skew: 0.82
# Murphy_E = 5.392e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1216983 hash collisions in 13549389 relations (13212728 unique)
Msieve: matrix is 484807 x 485032 (165.3 MB)

Sieving start time : 2022/07/02 22:47:10
Sieving end time  : 2022/07/02 23:28:20

Total sieving time: 0hrs 41min 10secs.

Total relation processing time: 0hrs 3min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 17sec.

Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10161-169

c160

name 名前Bob Backstrom
date 日付July 2, 2022 06:40:23 UTC 2022 年 7 月 2 日 (土) 15 時 40 分 23 秒 (日本時間)
composite number 合成数
2297008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547<160>
prime factors 素因数
1972593732089515043954889616258466796032116757<46>
1164461039108842827574909907923888170758936442937018782986851925992578602818474506381415397817642140524132042288471<115>
factorization results 素因数分解の結果
Number: n
N=2297008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547  ( 160 digits)
SNFS difficulty: 162 digits.
Divisors found:

Sat Jul  2 16:36:01 2022  p46 factor: 1972593732089515043954889616258466796032116757
Sat Jul  2 16:36:01 2022  p115 factor: 1164461039108842827574909907923888170758936442937018782986851925992578602818474506381415397817642140524132042288471
Sat Jul  2 16:36:01 2022  elapsed time 00:07:38 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 43x10^161-16 = 47(160)6
#
n: 2297008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547
m: 100000000000000000000000000000000
deg: 5
c5: 215
c0: -8
skew: 0.52
# Murphy_E = 4.756e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1251407 hash collisions in 13436719 relations (13044634 unique)
Msieve: matrix is 499935 x 500162 (171.0 MB)

Sieving start time : 2022/07/02 15:37:51
Sieving end time  : 2022/07/02 16:28:08

Total sieving time: 0hrs 50min 17secs.

Total relation processing time: 0hrs 4min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 28sec.

Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10162-169

c100

name 名前Eric Jeancolas
date 日付June 29, 2022 20:10:27 UTC 2022 年 6 月 30 日 (木) 5 時 10 分 27 秒 (日本時間)
composite number 合成数
1297607462633386447011747091196308609962406308727620498753433629550095151744376542402884988159173289<100>
prime factors 素因数
102169648311212037300739464662670292209381017<45>
12700518050926752234753865363713143047519008540380688017<56>
factorization results 素因数分解の結果
1297607462633386447011747091196308609962406308727620498753433629550095151744376542402884988159173289=102169648311212037300739464662670292209381017*12700518050926752234753865363713143047519008540380688017

cado polynomial
n: 1297607462633386447011747091196308609962406308727620498753433629550095151744376542402884988159173289
skew: 445394.128
c0: -210229044699227257320982099
c1: 11380793870963108696
c2: -10865618141249567
c3: -139245410
c4: 17400
Y0: -781432158879519328222032
Y1: 226434660156041
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 3.001e-06
# f(x) = 17400*x^4-139245410*x^3-10865618141249567*x^2+11380793870963108696*x-210229044699227257320982099
# g(x) = 226434660156041*x-781432158879519328222032

cado parameters (extracts)
tasks.lim0 = 919082
tasks.lim1 = 1051872
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 50
tasks.sieve.ncurves0 = 11
tasks.sieve.ncurves1 = 16
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 12700518050926752234753865363713143047519008540380688017 102169648311212037300739464662670292209381017
Info:Square Root: Total cpu/real time for sqrt: 37.57/11.3073
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 19/17.962
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 12.9s
Info:Square Root: Total cpu/real time for sqrt: 37.57/11.3073
Info:Filtering - Singleton removal: Total cpu/real time for purge: 10.14/10.5712
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2397901
Info:Lattice Sieving: Average J: 1020.16 for 77902 special-q, max bucket fill -bkmult 1.0,1s:1.344890
Info:Lattice Sieving: Total time: 3002.53s
Info:Generate Factor Base: Total cpu/real time for makefb: 0.76/0.228844
Info:Linear Algebra: Total cpu/real time for bwc: 446.28/116.61
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 263.01, WCT time 67.5, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5632 iterations)
Info:Linear Algebra: Lingen CPU time 24.17, WCT time 6.18
Info:Linear Algebra: Mksol: CPU time 144.04,  WCT time 37.13, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2816 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 23.98/6.68517
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.1/8.94293
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.8s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 65.08
Info:Polynomial Selection (root optimized): Rootsieve time: 64.7
Info:Filtering - Merging: Merged matrix has 177724 rows and total weight 30276465 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 36.23/10.2504
Info:Filtering - Merging: Total cpu/real time for replay: 5.89/4.87653
Info:Quadratic Characters: Total cpu/real time for characters: 5.81/2.29353
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 5781.44
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 5820/32.890/37.821/38.680/0.698
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3289/32.610/36.297/38.640/1.025
Info:Polynomial Selection (size optimized): Total time: 103.15
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 6061.78/1793.32
Info:root: Cleaning up computation data in /tmp/cado.krepigek
12700518050926752234753865363713143047519008540380688017 102169648311212037300739464662670292209381017
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10163-169

c113

name 名前Ignacio Santos
date 日付July 2, 2022 10:04:16 UTC 2022 年 7 月 2 日 (土) 19 時 4 分 16 秒 (日本時間)
composite number 合成数
20648611756539646034588811369253928286130929948940111742212805051363611869767095341790600471889171007630164906039<113>
prime factors 素因数
15595738863644555581980696238596007<35>
composite cofactor 合成数の残り
1323990606477382930433451618601912259712303231371018171459766403874138316430577<79>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3037121703
Step 1 took 2156ms
Step 2 took 1485ms
********** Factor found in step 2: 15595738863644555581980696238596007
Found prime factor of 35 digits: 15595738863644555581980696238596007
Composite cofactor 1323990606477382930433451618601912259712303231371018171459766403874138316430577 has 79 digits
 
software ソフトウェア
GMP-ECM

c79

name 名前Ignacio Santos
date 日付July 2, 2022 18:01:03 UTC 2022 年 7 月 3 日 (日) 3 時 1 分 3 秒 (日本時間)
composite number 合成数
1323990606477382930433451618601912259712303231371018171459766403874138316430577<79>
prime factors 素因数
36803645101594582828707702764971856971<38>
35974442282077616885239291319060133787187<41>
factorization results 素因数分解の結果
1323990606477382930433451618601912259712303231371018171459766403874138316430577 (79 dígitos) = 36803645101594582828707702764971856971 (38 dígitos) × 35974442282077616 885239291319060133787187 (41 dígitos) 
software ソフトウェア
Alpertron

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10165-169

c132

name 名前Eric Jeancolas
date 日付July 8, 2022 09:12:58 UTC 2022 年 7 月 8 日 (金) 18 時 12 分 58 秒 (日本時間)
composite number 合成数
207461121644646178094130323983665043974420580461145374669527429317471182912297593432487523317256232367012809965245154305226594487249<132>
prime factors 素因数
1659688397979033525631680725631178571330570753<46>
125000043319738256252142828482782569289149731894751448161165002038525144514276113850833<87>
factorization results 素因数分解の結果
207461121644646178094130323983665043974420580461145374669527429317471182912297593432487523317256232367012809965245154305226594487249=1659688397979033525631680725631178571330570753*125000043319738256252142828482782569289149731894751448161165002038525144514276113850833

cado polynomial
n: 207461121644646178094130323983665043974420580461145374669527429317471182912297593432487523317256232367012809965245154305226594487249
skew: 0.82
type: snfs
c0: -16
c5: 43
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 43*x^5-16
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4200000
tasks.lim1 = 4200000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 125000043319738256252142828482782569289149731894751448161165002038525144514276113850833 1659688397979033525631680725631178571330570753
Info:Square Root: Total cpu/real time for sqrt: 106.38/33.433
Info:Filtering - Singleton removal: Total cpu/real time for purge: 65.09/63.4802
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11641073
Info:Lattice Sieving: Average J: 1892.97 for 356257 special-q, max bucket fill -bkmult 1.0,1s:1.258680
Info:Lattice Sieving: Total time: 44896.5s
Info:Linear Algebra: Total cpu/real time for bwc: 4336.29/1121.15
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2699.19, WCT time 693.06, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (17152 iterations)
Info:Linear Algebra: Lingen CPU time 96.92, WCT time 24.64
Info:Linear Algebra: Mksol: CPU time 1461.57,  WCT time 374.87, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8448 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.5/18.4047
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.53/50.7897
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 50.7s
Info:Filtering - Merging: Merged matrix has 540237 rows and total weight 92060473 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 113.93/32.1035
Info:Filtering - Merging: Total cpu/real time for replay: 18.71/15.8461
Info:Generate Factor Base: Total cpu/real time for makefb: 1.84/0.992307
Info:Quadratic Characters: Total cpu/real time for characters: 17.57/6.93389
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 103.02/88.9405
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 79.0s
Info:Square Root: Total cpu/real time for sqrt: 106.38/33.433
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 87469.9/24036.3
Info:root: Cleaning up computation data in /tmp/cado.804uua1a
125000043319738256252142828482782569289149731894751448161165002038525144514276113850833 1659688397979033525631680725631178571330570753
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10166-169

c166

name 名前Bob Backstrom
date 日付July 1, 2022 19:59:58 UTC 2022 年 7 月 2 日 (土) 4 時 59 分 58 秒 (日本時間)
composite number 合成数
2986111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<166>
prime factors 素因数
309794813309831709797774805974113783<36>
200855296153036970258339846813792135644610994089293469<54>
47989755072487220838055033321593784806995096281924941424731118496317464173093<77>
factorization results 素因数分解の結果
Number: n
N=2986111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111  ( 166 digits)
SNFS difficulty: 167 digits.
Divisors found:

Sat Jul  2 05:34:24 2022  found factor: 309794813309831709797774805974113783
Sat Jul  2 05:35:01 2022  p36 factor: 309794813309831709797774805974113783
Sat Jul  2 05:35:01 2022  p54 factor: 200855296153036970258339846813792135644610994089293469
Sat Jul  2 05:35:01 2022  p77 factor: 47989755072487220838055033321593784806995096281924941424731118496317464173093
Sat Jul  2 05:35:01 2022  elapsed time 00:10:20 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 43x10^166-16 = 47(165)6
#
n: 2986111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 1000000000000000000000000000000000
deg: 5
c5: 215
c0: -8
skew: 0.52
# Murphy_E = 3.031e-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, 14950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1366545 hash collisions in 13233666 relations (12676447 unique)
Msieve: matrix is 624152 x 624377 (215.0 MB)

Sieving start time : 2022/07/02 04:12:13
Sieving end time  : 2022/07/02 05:24:27

Total sieving time: 1hrs 12min 14secs.

Total relation processing time: 0hrs 5min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 13sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118735] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153513] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152037] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10168-169

c107

name 名前Eric Jeancolas
date 日付June 30, 2022 18:54:15 UTC 2022 年 7 月 1 日 (金) 3 時 54 分 15 秒 (日本時間)
composite number 合成数
70798837725848410273807899678658826157102916504193332666760618014631202497641873916376908390212795544597329<107>
prime factors 素因数
1689979112289678369838927954504456965476461<43>
41893321172429272776384434942267696284796247374206960142035814389<65>
factorization results 素因数分解の結果
70798837725848410273807899678658826157102916504193332666760618014631202497641873916376908390212795544597329=1689979112289678369838927954504456965476461*41893321172429272776384434942267696284796247374206960142035814389

cado polynomial
n: 70798837725848410273807899678658826157102916504193332666760618014631202497641873916376908390212795544597329
skew: 67663.598
c0: 711802687960121585941424448
c1: 56840782647833874551124
c2: -226872600125773000
c3: -22007979664165
c4: 106435790
c5: 600
Y0: -339754439138274775969
Y1: 8543701008360731
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 2.785e-06
# f(x) = 600*x^5+106435790*x^4-22007979664165*x^3-226872600125773000*x^2+56840782647833874551124*x+711802687960121585941424448
# g(x) = 8543701008360731*x-339754439138274775969

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 41893321172429272776384434942267696284796247374206960142035814389 1689979112289678369838927954504456965476461
Info:Square Root: Total cpu/real time for sqrt: 66.19/19.8368
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10050/31.200/37.907/44.300/1.105
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7830/30.360/33.603/38.280/0.909
Info:Polynomial Selection (size optimized): Total time: 488.58
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 61.59/64.2634
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 46.599999999999994s
Info:Quadratic Characters: Total cpu/real time for characters: 8.98/3.44375
Info:Square Root: Total cpu/real time for sqrt: 66.19/19.8368
Info:Linear Algebra: Total cpu/real time for bwc: 685.35/178.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 408.25, WCT time 104.8, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7552 iterations)
Info:Linear Algebra: Lingen CPU time 33.14, WCT time 8.46
Info:Linear Algebra: Mksol: CPU time 226.12,  WCT time 58.03, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3712 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 37.16/43.0266
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4930829
Info:Lattice Sieving: Average J: 1962.67 for 54954 special-q, max bucket fill -bkmult 1.0,1s:1.312380
Info:Lattice Sieving: Total time: 5253.06s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.52/0.413668
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.99/20.4624
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.999999999999996s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 157.71
Info:Polynomial Selection (root optimized): Rootsieve time: 157.07
Info:Generate Free Relations: Total cpu/real time for freerel: 62.04/15.9589
Info:Filtering - Merging: Merged matrix has 237381 rows and total weight 34710045 (146.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 31.17/9.62294
Info:Filtering - Merging: Total cpu/real time for replay: 7.63/6.14478
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 11057.2/3138.18
Info:root: Cleaning up computation data in /tmp/cado.3w_fl6su
41893321172429272776384434942267696284796247374206960142035814389 1689979112289678369838927954504456965476461
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10169-169

c169

name 名前Bob Backstrom
date 日付July 3, 2022 04:15:31 UTC 2022 年 7 月 3 日 (日) 13 時 15 分 31 秒 (日本時間)
composite number 合成数
2986111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<169>
prime factors 素因数
146132489555148244137142793148388936601<39>
16959501101243882695844577774121095154174987<44>
1204886415427103524868103781323773801941543221057166569955235091935306238336486774966653<88>
factorization results 素因数分解の結果
Number: n
N=176073051517541214058701922550116005573139087468532727367574866107166671287845895581609693442305605427854006037430625906166453  ( 126 digits)
SNFS difficulty: 170 digits.
Divisors found:

Sun Jul  3 13:57:21 2022  p39 factor: 146132489555148244137142793148388936601
Sun Jul  3 13:57:21 2022  p88 factor: 1204886415427103524868103781323773801941543221057166569955235091935306238336486774966653
Sun Jul  3 13:57:21 2022  elapsed time 00:23:55 (Msieve 1.54 - dependency 18)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 43x10^169-16 = 47(168)6
#
# n: 2986111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 2986111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (169 digits)
# Using B1=17190000, B2=58559441860, polynomial Dickson(12), sigma=1:1013484995
# Step 1 took 39977ms
# Step 2 took 16666ms
# ********** Factor found in step 2: 16959501101243882695844577774121095154174987
# Found prime factor of 44 digits: 16959501101243882695844577774121095154174987
# Composite cofactor 176073051517541214058701922550116005573139087468532727367574866107166671287845895581609693442305605427854006037430625906166453 has 126 digits
#
n: 176073051517541214058701922550116005573139087468532727367574866107166671287845895581609693442305605427854006037430625906166453
m: 5000000000000000000000000000000000
deg: 5
c5: 43
c0: -5
skew: 0.65
# Murphy_E = 2.499e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1283606 hash collisions in 13111978 relations (12648769 unique)
Msieve: matrix is 719093 x 719319 (248.4 MB)

Sieving start time : 2022/07/03 12:20:28
Sieving end time  : 2022/07/03 13:33:12

Total sieving time: 1hrs 12min 44secs.

Total relation processing time: 0hrs 7min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 48sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10170-169

c140

name 名前Bob Backstrom
date 日付July 5, 2022 13:08:32 UTC 2022 年 7 月 5 日 (火) 22 時 8 分 32 秒 (日本時間)
composite number 合成数
90871426690403654864747930474425492312073317467330515247407897906224417552530965768255017478304244469010142323809421933103137730326375632927<140>
prime factors 素因数
629344827450308711814834130171004019129721<42>
810424102253832105268558208661371400082864231<45>
178166615817039588198707074600821725766735939392722577<54>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 90871426690403654864747930474425492312073317467330515247407897906224417552530965768255017478304244469010142323809421933103137730326375632927 (140 digits)
Using B1=42520000, B2=240489969736, polynomial Dickson(12), sigma=1:3441913167
Step 1 took 81374ms
Step 2 took 30142ms
********** Factor found in step 2: 629344827450308711814834130171004019129721
Found prime factor of 42 digits: 629344827450308711814834130171004019129721
Composite cofactor 144390519675127711745800539222311842413559824318249738566232520145259714460495555559938363339443287 has 99 digits

CADO

STA:Tue 05 Jul 2022 22:54:23 AEST (144390519675127711745800539222311842413559824318249738566232520145259714460495555559938363339443287 - C99)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 144390519675127711745800539222311842413559824318249738566232520145259714460495555559938363339443287 2>&1 | tee -a log167

Debug:root: Looking for parameter file for c99 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c100
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c100
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.ijtj6g_m
Info:Database: Opened connection to database /tmp/cado.ijtj6g_m/c100.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 144390519675127711745800539222311842413559824318249738566232520145259714460495555559938363339443287
Debug:root: Root parameter dictionary:
N = 144390519675127711745800539222311842413559824318249738566232520145259714460495555559938363339443287
lim0 = 919082
lim1 = 1051872
lpb0 = 24
lpb1 = 25
name = c100
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 144390519675127711745800539222311842413559824318249738566232520145259714460495555559938363339443287
skew: 23601.792
c0: -115749480544170552989988
c1: 4613801741940299128
c2: -19877135400459
c3: 36799741230
c4: 403020
Y0: -137578925762014930068025
Y1: 15350045544299
# MurphyE (Bf=1.05e+06,Bg=9.19e+05,area=2.21e+12) = 1.23e-08
# f(x) = 403020*x^4+36799741230*x^3-19877135400459*x^2+4613801741940299128*x-115749480544170552989988
# g(x) = 15350045544299*x-137578925762014930068025
===
Debug:Command: Process with PID 18952 finished successfully
Info:Square Root: finished
Info:Square Root: Factors: 810424102253832105268558208661371400082864231 178166615817039588198707074600821725766735939392722577
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 79.12/11.7865
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 2890.72
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 2976/32.280/37.344/38.180/0.697
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 2976/32.280/36.014/38.150/0.965
Info:Polynomial Selection (size optimized): Total time: 57.35
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 24.8
Info:Polynomial Selection (root optimized): Rootsieve time: 24.59
Info:Generate Factor Base: Total cpu/real time for makefb: 1.04/0.122057
Info:Generate Free Relations: Total cpu/real time for freerel: 26.32/1.74513
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2686195
Info:Lattice Sieving: Average J: 943.084 for 84461 special-q, max bucket fill: 0.81653
Info:Lattice Sieving: Total CPU time: 6528.98s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 6.1/5.21042
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 5.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 27.93/8.6466
Info:Filtering - Singleton removal: Total cpu/real time for purge: 23.05/9.64889
Info:Filtering - Merging: Total cpu/real time for merge: 44.75/35.1954
Info:Filtering - Merging: Total cpu/real time for replay: 4.78/3.65966
Info:Linear Algebra: Total cpu/real time for bwc: 658.87/0.000314236
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 23.91
Info:Linear Algebra: Lingen CPU time 27.89, WCT time 2.98
Info:Linear Algebra: Mksol: WCT time 16.18
Info:Quadratic Characters: Total cpu/real time for characters: 5.11/1.14327
Info:Square Root: Total cpu/real time for sqrt: 79.12/11.7865
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 7488.2/633.032
Info:root: Cleaning up computation data in /tmp/cado.ijtj6g_m
810424102253832105268558208661371400082864231 178166615817039588198707074600821725766735939392722577

END:Tue 05 Jul 2022 23:04:56 AEST (144390519675127711745800539222311842413559824318249738566232520145259714460495555559938363339443287 - C99)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10171-169

c170

name 名前Bob Backstrom
date 日付July 3, 2022 08:34:17 UTC 2022 年 7 月 3 日 (日) 17 時 34 分 17 秒 (日本時間)
composite number 合成数
99537037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<170>
prime factors 素因数
201418621446400285734142675850814512726292362833031<51>
494179914062836236950072597768311315956330152462245231609893679283294300571930383068610905466655202751117444298670869227<120>
factorization results 素因数分解の結果
Number: n
N=99537037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037  ( 170 digits)
SNFS difficulty: 172 digits.
Divisors found:

Sun Jul  3 16:11:28 2022  p51 factor: 201418621446400285734142675850814512726292362833031
Sun Jul  3 16:11:28 2022  p120 factor: 494179914062836236950072597768311315956330152462245231609893679283294300571930383068610905466655202751117444298670869227
Sun Jul  3 16:11:28 2022  elapsed time 00:18:22 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 43x10^171-16 = 47(170)6
#
n: 99537037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
m: 10000000000000000000000000000000000
deg: 5
c5: 215
c0: -8
skew: 0.52
# Murphy_E = 1.922e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1081293 hash collisions in 11536197 relations (11171895 unique)
Msieve: matrix is 899145 x 899371 (313.2 MB)

Sieving start time : 2022/07/03 14:12:29
Sieving end time  : 2022/07/03 15:52:38

Total sieving time: 1hrs 40min 9secs.

Total relation processing time: 0hrs 13min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 7sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10173-169

c163

name 名前Bob Backstrom
date 日付July 7, 2022 00:17:32 UTC 2022 年 7 月 7 日 (木) 9 時 17 分 32 秒 (日本時間)
composite number 合成数
1001745811860826544627608573733417362273880736379196331574175765646312433177793844536385134275948393096711654677051104677732965934840467633487133195758172122215917<163>
prime factors 素因数
152003483833887344812206138093213609970594915688923564000416589669079657<72>
6590281923771929947483874549241191711947725486808809204489315076544453672360093392154814181<91>
factorization results 素因数分解の結果
Number: n
N=1001745811860826544627608573733417362273880736379196331574175765646312433177793844536385134275948393096711654677051104677732965934840467633487133195758172122215917  ( 163 digits)
SNFS difficulty: 173 digits.
Divisors found:

Thu Jul  7 10:13:44 2022  p72 factor: 152003483833887344812206138093213609970594915688923564000416589669079657
Thu Jul  7 10:13:44 2022  p91 factor: 6590281923771929947483874549241191711947725486808809204489315076544453672360093392154814181
Thu Jul  7 10:13:44 2022  elapsed time 00:17:24 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 43x10^173-16 = 47(172)6
#
n: 1001745811860826544627608573733417362273880736379196331574175765646312433177793844536385134275948393096711654677051104677732965934840467633487133195758172122215917
m: 10000000000000000000000000000000000
deg: 5
c5: 5375
c0: -2
skew: 0.21
# Murphy_E = 1.574e-10
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1214260 hash collisions in 11951373 relations (11460350 unique)
Msieve: matrix is 917318 x 917543 (320.0 MB)

Sieving start time : 2022/07/07 08:33:28
Sieving end time  : 2022/07/07 09:56:06

Total sieving time: 1hrs 22min 38secs.

Total relation processing time: 0hrs 13min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 11sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10175-169

c123

name 名前Eric Jeancolas
date 日付July 8, 2022 16:58:08 UTC 2022 年 7 月 9 日 (土) 1 時 58 分 8 秒 (日本時間)
composite number 合成数
356496138040460505760575221091170234990974121101934228912129531357490961989429962131911493316323318226593954928549675058319<123>
prime factors 素因数
19948938690228766298463381201925813538591<41>
17870431283398382801081632993456561583568288151176175991833406289991741008870821009<83>
factorization results 素因数分解の結果
356496138040460505760575221091170234990974121101934228912129531357490961989429962131911493316323318226593954928549675058319=19948938690228766298463381201925813538591*17870431283398382801081632993456561583568288151176175991833406289991741008870821009

cado polynomial
n: 356496138040460505760575221091170234990974121101934228912129531357490961989429962131911493316323318226593954928549675058319
skew: 129301.235
c0: 381346700395051997009916608855
c1: -898118435956749948470949
c2: -82732516998777751711
c3: 98426989384701
c4: 1604524604
c5: 10140
Y0: -500150014213952305811646
Y1: 383535604755318839
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.201e-07
# f(x) = 10140*x^5+1604524604*x^4+98426989384701*x^3-82732516998777751711*x^2-898118435956749948470949*x+381346700395051997009916608855
# g(x) = 383535604755318839*x-500150014213952305811646

cado parameters (extracts)
tasks.lim0 = 2377918
tasks.lim1 = 9209388
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 57
tasks.sieve.mfb1 = 53
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 19948938690228766298463381201925813538591 17870431283398382801081632993456561583568288151176175991833406289991741008870821009
Info:Square Root: Total cpu/real time for sqrt: 228.82/68.4132
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20222/37.100/43.634/48.000/0.899
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15826/34.980/39.016/44.360/0.893
Info:Polynomial Selection (size optimized): Total time: 1986.51
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 122.26/108.199
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 95.30000000000001s
Info:Quadratic Characters: Total cpu/real time for characters: 25.42/10.0718
Info:Square Root: Total cpu/real time for sqrt: 228.82/68.4132
Info:Linear Algebra: Total cpu/real time for bwc: 7243.85/1864.94
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4532.42, WCT time 1160.16, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (21760 iterations)
Info:Linear Algebra: Lingen CPU time 119.92, WCT time 30.48
Info:Linear Algebra: Mksol: CPU time 2484.07,  WCT time 635.57, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11008 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 57.14/62.1615
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11625427
Info:Lattice Sieving: Average J: 3819.01 for 157749 special-q, max bucket fill -bkmult 1.0,1s:1.192460
Info:Lattice Sieving: Total time: 47385.5s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.55/2.29698
Info:Generate Free Relations: Total cpu/real time for freerel: 126.13/32.764
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.59/56.5457
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 56.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2360.82
Info:Polynomial Selection (root optimized): Rootsieve time: 2358.32
Info:Filtering - Merging: Merged matrix has 694752 rows and total weight 118825891 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 136.27/39.6326
Info:Filtering - Merging: Total cpu/real time for replay: 25.05/20.6793
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 100686/27414
Info:root: Cleaning up computation data in /tmp/cado.b29poh5z
19948938690228766298463381201925813538591 17870431283398382801081632993456561583568288151176175991833406289991741008870821009
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10177-169

c167

name 名前Bob Backstrom
date 日付July 9, 2022 08:03:11 UTC 2022 年 7 月 9 日 (土) 17 時 3 分 11 秒 (日本時間)
composite number 合成数
33684642988830379330816548940745188133868267017153944349746810743400760783383073971657631066508783878493236708321640029132187365818286111930227311599097211374443295013<167>
prime factors 素因数
919831723350065900779487480974597381813894541552444471<54>
36620440602058700474407483671078716013481575672138159639421435764319402454977919560275508915948628073365426249603<113>
factorization results 素因数分解の結果
Number: n
N=33684642988830379330816548940745188133868267017153944349746810743400760783383073971657631066508783878493236708321640029132187365818286111930227311599097211374443295013  ( 167 digits)
SNFS difficulty: 178 digits.
Divisors found:

Sat Jul  9 17:40:26 2022  p54 factor: 919831723350065900779487480974597381813894541552444471
Sat Jul  9 17:40:26 2022  p113 factor: 36620440602058700474407483671078716013481575672138159639421435764319402454977919560275508915948628073365426249603
Sat Jul  9 17:40:26 2022  elapsed time 00:23:27 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 43x10^177-16 = 47(176)6
#
n: 33684642988830379330816548940745188133868267017153944349746810743400760783383073971657631066508783878493236708321640029132187365818286111930227311599097211374443295013
m: 100000000000000000000000000000000000
deg: 5
c5: 1075
c0: -4
skew: 0.33
# Murphy_E = 1.134e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 16050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1308377 hash collisions in 12085904 relations (11489709 unique)
Msieve: matrix is 1070486 x 1070712 (372.5 MB)

Sieving start time : 2022/07/09 16:04:40
Sieving end time  : 2022/07/09 17:16:41

Total sieving time: 1hrs 12min 1secs.

Total relation processing time: 0hrs 18min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 21sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10180-169

c172

name 名前Bob Backstrom
date 日付July 12, 2022 22:31:21 UTC 2022 年 7 月 13 日 (水) 7 時 31 分 21 秒 (日本時間)
composite number 合成数
3478461571100086504129670348015414196391072110509374147182340835186117283455111781388328992478626413290685103540676655247359459697728173970926654487275159184788341580173571<172>
prime factors 素因数
1107552763462404167478529374996325576634022836229349844506217<61>
3140673461213536791994182899372561490598135990100144660795353892585875797789085523405115580457813193224707290763<112>
factorization results 素因数分解の結果
Number: n
N=3478461571100086504129670348015414196391072110509374147182340835186117283455111781388328992478626413290685103540676655247359459697728173970926654487275159184788341580173571  ( 172 digits)
SNFS difficulty: 181 digits.
Divisors found:

Wed Jul 13 08:25:50 2022  p61 factor: 1107552763462404167478529374996325576634022836229349844506217
Wed Jul 13 08:25:50 2022  p112 factor: 3140673461213536791994182899372561490598135990100144660795353892585875797789085523405115580457813193224707290763
Wed Jul 13 08:25:50 2022  elapsed time 00:19:59 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 43x10^180-16 = 47(179)6
#
n: 3478461571100086504129670348015414196391072110509374147182340835186117283455111781388328992478626413290685103540676655247359459697728173970926654487275159184788341580173571
m: 1000000000000000000000000000000000000
deg: 5
c5: 43
c0: -16
skew: 0.82
# Murphy_E = 8.657e-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, 16550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3001825 hash collisions in 28568276 relations (27308745 unique)
Msieve: matrix is 888156 x 888381 (302.2 MB)

Sieving start time : 2022/07/13 04:43:15
Sieving end time  : 2022/07/13 08:04:56

Total sieving time: 3hrs 21min 41secs.

Total relation processing time: 0hrs 12min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 54sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118884] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120)
[    0.152037] smpboot: Total of 16 processors activated (102384.96 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10185-169

c131

name 名前Eric Jeancolas
date 日付July 9, 2022 02:03:43 UTC 2022 年 7 月 9 日 (土) 11 時 3 分 43 秒 (日本時間)
composite number 合成数
59235662084158239133708571130617358249934511403883053624193347951226219795674526219977464827710586792792875761057106566835783862813<131>
prime factors 素因数
21555989347526769030002836237814035348317568433<47>
2747990877577356720924645214111048387071130558378162224215050031910364674674059874861<85>
factorization results 素因数分解の結果
59235662084158239133708571130617358249934511403883053624193347951226219795674526219977464827710586792792875761057106566835783862813=21555989347526769030002836237814035348317568433*2747990877577356720924645214111048387071130558378162224215050031910364674674059874861

cado polynomial
n: 59235662084158239133708571130617358249934511403883053624193347951226219795674526219977464827710586792792875761057106566835783862813
skew: 102532.379
c0: -153668960634240207144812072799
c1: -3955194664917911211526088
c2: -307963125480971336431
c3: 1578673863255598
c4: 16436704260
c5: 30480
Y0: -18100283157162079744578160
Y1: 10932460461904813
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.666e-07
# f(x) = 30480*x^5+16436704260*x^4+1578673863255598*x^3-307963125480971336431*x^2-3955194664917911211526088*x-153668960634240207144812072799
# g(x) = 10932460461904813*x-18100283157162079744578160

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 21555989347526769030002836237814035348317568433 2747990877577356720924645214111048387071130558378162224215050031910364674674059874861
Info:Square Root: Total cpu/real time for sqrt: 722.13/215.706
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 342.86/315.587
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 277.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 204.77/231.749
Info:Linear Algebra: Total cpu/real time for bwc: 52577.4/13498.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 33647.81, WCT time 8601.77, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (56064 iterations)
Info:Linear Algebra: Lingen CPU time 349.67, WCT time 88.87
Info:Linear Algebra: Mksol: CPU time 18247.52,  WCT time 4679.03, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28160 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24177190
Info:Lattice Sieving: Average J: 7805.33 for 67558 special-q, max bucket fill -bkmult 1.0,1s:1.068640
Info:Lattice Sieving: Total time: 141258s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.61/10.7534
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 8246.99
Info:Polynomial Selection (root optimized): Rootsieve time: 8243.6
Info:Generate Free Relations: Total cpu/real time for freerel: 251.29/63.5328
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 104.08/120.744
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 120.4s
Info:Filtering - Merging: Merged matrix has 1791047 rows and total weight 306810433 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 455.07/128.04
Info:Filtering - Merging: Total cpu/real time for replay: 71.2/60.3121
Info:Quadratic Characters: Total cpu/real time for characters: 69.63/29.3948
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38929/37.940/46.712/50.770/0.843
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30907/37.650/41.973/47.530/1.037
Info:Polynomial Selection (size optimized): Total time: 6849.12
Info:Square Root: Total cpu/real time for sqrt: 722.13/215.706
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 341102/53447.4
Info:root: Cleaning up computation data in /tmp/cado.xs56ypa_
21555989347526769030002836237814035348317568433 2747990877577356720924645214111048387071130558378162224215050031910364674674059874861
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10186-169

c162

name 名前Bob Backstrom
date 日付August 13, 2022 15:45:36 UTC 2022 年 8 月 14 日 (日) 0 時 45 分 36 秒 (日本時間)
composite number 合成数
369302666456197982565840533832475744697704830722266826670922281282328995742636912512416965608086647087913305335601552420644433874596656180517131224789154561541391<162>
prime factors 素因数
198322103529630614986948431322858126726219638610157366634113<60>
1862135686761822577068138873158889056322448881303442984655998656068424801079414946321694628638005560207<103>
factorization results 素因数分解の結果
Number: n
N=369302666456197982565840533832475744697704830722266826670922281282328995742636912512416965608086647087913305335601552420644433874596656180517131224789154561541391  ( 162 digits)
SNFS difficulty: 187 digits.
Divisors found:

Sun Aug 14 01:33:46 2022  p60 factor: 198322103529630614986948431322858126726219638610157366634113
Sun Aug 14 01:33:46 2022  p103 factor: 1862135686761822577068138873158889056322448881303442984655998656068424801079414946321694628638005560207
Sun Aug 14 01:33:46 2022  elapsed time 00:30:52 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.305).
Factorization parameters were as follows:
#
# N = 43x10^186-16 = 47(185)6
#
n: 369302666456197982565840533832475744697704830722266826670922281282328995742636912512416965608086647087913305335601552420644433874596656180517131224789154561541391
m: 10000000000000000000000000000000000000
deg: 5
c5: 215
c0: -8
skew: 0.52
# Murphy_E = 4.768e-11
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3339584 hash collisions in 29354175 relations (27749567 unique)
Msieve: matrix is 1117088 x 1117315 (386.7 MB)

Sieving start time : 2022/08/13 21:22:49
Sieving end time  : 2022/08/14 01:02:24

Total sieving time: 3hrs 39min 35secs.

Total relation processing time: 0hrs 20min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 44sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 10, 2022 10:23:36 UTC 2022 年 7 月 10 日 (日) 19 時 23 分 36 秒 (日本時間)

43×10187-169

c169

name 名前Bob Backstrom
date 日付July 13, 2022 23:24:10 UTC 2022 年 7 月 14 日 (木) 8 時 24 分 10 秒 (日本時間)
composite number 合成数
2883501534344213209407492575749636033454747793283930535845972464661173259504860275921824884716964391472433557625494515773257251622819349740081772296830113194487504383209<169>
prime factors 素因数
719832423572905416690751971394396183434012575319702672656321447542137185048589191<81>
4005795571185699742395988828335544185482026146254300111625774957779836658632647888656399<88>
factorization results 素因数分解の結果
Number: n
N=2883501534344213209407492575749636033454747793283930535845972464661173259504860275921824884716964391472433557625494515773257251622819349740081772296830113194487504383209  ( 169 digits)
SNFS difficulty: 188 digits.
Divisors found:

Thu Jul 14 09:19:48 2022  p81 factor: 719832423572905416690751971394396183434012575319702672656321447542137185048589191
Thu Jul 14 09:19:48 2022  p88 factor: 4005795571185699742395988828335544185482026146254300111625774957779836658632647888656399
Thu Jul 14 09:19:48 2022  elapsed time 00:29:34 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 43x10^187-16 = 47(186)6
#
n: 2883501534344213209407492575749636033454747793283930535845972464661173259504860275921824884716964391472433557625494515773257251622819349740081772296830113194487504383209
m: 10000000000000000000000000000000000000
deg: 5
c5: 1075
c0: -4
skew: 0.33
# Murphy_E = 4.452e-11
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3192316 hash collisions in 28548943 relations (27044823 unique)
Msieve: matrix is 1117154 x 1117379 (387.7 MB)

Sieving start time : 2022/07/14 05:27:28
Sieving end time  : 2022/07/14 08:49:44

Total sieving time: 3hrs 22min 16secs.

Total relation processing time: 0hrs 20min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 27sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118884] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120)
[    0.152037] smpboot: Total of 16 processors activated (102384.96 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 9, 2022 22:15:21 UTC 2022 年 7 月 10 日 (日) 7 時 15 分 21 秒 (日本時間)

43×10188-169

c179

name 名前Bob Backstrom
date 日付July 9, 2022 17:15:23 UTC 2022 年 7 月 10 日 (日) 2 時 15 分 23 秒 (日本時間)
composite number 合成数
35688325826888579754817860478009207720060345149119992408148268943558854541104223946786502081106058946880912476225149440721234455745681668719803768063793684357143498470371862702337<179>
prime factors 素因数
181160858316808546718989767158978235497<39>
196997994812311671165601979078257339226721716945785860119945005244757582447114644950608699553483322341691221823741023206179097928248946197721<141>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 35688325826888579754817860478009207720060345149119992408148268943558854541104223946786502081106058946880912476225149440721234455745681668719803768063793684357143498470371862702337 (179 digits)
Using B1=15090000, B2=46847553490, polynomial Dickson(12), sigma=1:2133566295
Step 1 took 40936ms
Step 2 took 15410ms
********** Factor found in step 2: 181160858316808546718989767158978235497
Found prime factor of 39 digits: 181160858316808546718989767158978235497
Prime cofactor 196997994812311671165601979078257339226721716945785860119945005244757582447114644950608699553483322341691221823741023206179097928248946197721 has 141 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10190-169

c185

name 名前Bob Backstrom
date 日付July 11, 2022 20:18:53 UTC 2022 年 7 月 12 日 (火) 5 時 18 分 53 秒 (日本時間)
composite number 合成数
60522327390322282800849451977362960560836480494357630092038977504836156207282496830319039930098119360163584813456112023168509923409698435540061839743633051158538095849350637651981416549<185>
prime factors 素因数
185755776469069880012085654788988501883<39>
325816663905468540352539480042659486034423105843323887507994304446833089151868066822470454361569069520003955689814912399473890303477483211684262303<147>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 60522327390322282800849451977362960560836480494357630092038977504836156207282496830319039930098119360163584813456112023168509923409698435540061839743633051158538095849350637651981416549 (185 digits)
Using B1=16310000, B2=58558792120, polynomial Dickson(12), sigma=1:3529781112
Step 1 took 43352ms
Step 2 took 18202ms
********** Factor found in step 2: 185755776469069880012085654788988501883
Found prime factor of 39 digits: 185755776469069880012085654788988501883
Prime cofactor 325816663905468540352539480042659486034423105843323887507994304446833089151868066822470454361569069520003955689814912399473890303477483211684262303 has 147 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10191-169

c160

name 名前Ignacio Santos
date 日付July 12, 2022 11:24:39 UTC 2022 年 7 月 12 日 (火) 20 時 24 分 39 秒 (日本時間)
composite number 合成数
5763824599213636157239819447047796898350436355782394243384198080707650247494676750153982100825196095563002721998705183228220078971730472925101873028582188742907<160>
prime factors 素因数
330277525714316573289355311056133030091912429<45>
17451458699007054689732186221330919782358545460814244866384928576940253133824376206138205076503074535784272572059783<116>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2015595039
Step 1 took 7157ms
Step 2 took 3781ms
********** Factor found in step 2: 330277525714316573289355311056133030091912429
Found prime factor of 45 digits: 330277525714316573289355311056133030091912429
Prime cofactor 17451458699007054689732186221330919782358545460814244866384928576940253133824376206138205076503074535784272572059783 has 116 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10193-169

c151

composite cofactor 合成数の残り
6133815948217409681844326677043938277330781839658723892905817603989148380161941969766647113941125743073300493211503871734754348804321915343803161341609<151>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 18, 2022 12:42:55 UTC 2022 年 7 月 18 日 (月) 21 時 42 分 55 秒 (日本時間)

43×10194-169

c168

name 名前Ignacio Santos
date 日付July 19, 2022 10:03:18 UTC 2022 年 7 月 19 日 (火) 19 時 3 分 18 秒 (日本時間)
composite number 合成数
777498830499403934282068338590265360217277551103378715535116100764116880017142160932789136811936048320900720398381595738022431661982151402615224327377669757746582616461<168>
prime factors 素因数
3373355778434712175961085592266487980845311<43>
230482309476462956113672866414455826694079286321301429994854136928450828822708433560666044686285120451714797570801704495329651<126>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:264513911
Step 1 took 7156ms
Step 2 took 3813ms
********** Factor found in step 2: 3373355778434712175961085592266487980845311
Found prime factor of 43 digits: 3373355778434712175961085592266487980845311
Prime cofactor 230482309476462956113672866414455826694079286321301429994854136928450828822708433560666044686285120451714797570801704495329651 has 126 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10195-169

c183

name 名前Bob Backstrom
date 日付July 25, 2022 02:36:06 UTC 2022 年 7 月 25 日 (月) 11 時 36 分 6 秒 (日本時間)
composite number 合成数
367351992415246479750706349354480340932827588417509270768586530223347551778591385826456077946990283232608100240873273292921086136890649282952776048037323463326098548463997927157453113<183>
prime factors 素因数
3737905052324508871022756778579014653435880833<46>
98277507660821812841692997732119629607703332513996728264329078291199688118887316935958307663287669306384679113275711495607467421135583161<137>
factorization results 素因数分解の結果
Number: n
N=367351992415246479750706349354480340932827588417509270768586530223347551778591385826456077946990283232608100240873273292921086136890649282952776048037323463326098548463997927157453113  ( 183 digits)
SNFS difficulty: 196 digits.
Divisors found:

Mon Jul 25 12:31:51 2022  p46 factor: 3737905052324508871022756778579014653435880833
Mon Jul 25 12:31:51 2022  p137 factor: 98277507660821812841692997732119629607703332513996728264329078291199688118887316935958307663287669306384679113275711495607467421135583161
Mon Jul 25 12:31:51 2022  elapsed time 01:07:47 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 43x10^195-16 = 47(194)6
#
n: 367351992415246479750706349354480340932827588417509270768586530223347551778591385826456077946990283232608100240873273292921086136890649282952776048037323463326098548463997927157453113
m: 1000000000000000000000000000000000000000
deg: 5
c5: 43
c0: -16
skew: 0.82
# Murphy_E = 2.095e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 5050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3366128 hash collisions in 28607587 relations (26149789 unique)
Msieve: matrix is 1675238 x 1675464 (581.6 MB)

Sieving start time : 2022/07/25 05:21:01
Sieving end time  : 2022/07/25 11:07:29

Total sieving time: 5hrs 46min 28secs.

Total relation processing time: 0hrs 55min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 22sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10198-169

c180

composite cofactor 合成数の残り
361603856566954883348474786115542678953813318815603203924962709715785082154734322076618524681612736577077798756020679902464292272791055411149268475855358571480505982233581919027123<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10199-169

c145

composite cofactor 合成数の残り
2751926194456689633599053593939769209956862750210936461486993668614061166315102513552290889457305098415029249798133192292387696595214817400769497<145>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10200-169

c190

composite cofactor 合成数の残り
9120812483824996299484444766045480450855893498667760218247384087914523463367170657457025648284781793733552899767116694678185253769633827354809234924935511836642730682766601193381746196706319<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62047 / 2078ebinaJuly 26, 2022 09:10:08 UTC 2022 年 7 月 26 日 (火) 18 時 10 分 8 秒 (日本時間)

43×10201-169

c164

composite cofactor 合成数の残り
58147250971613782975815764296624589625688759210755335111450478912628436103099428978922653865907497397601338560753261098728239647815684137544738009730746656071609363<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62078ebinaJuly 26, 2022 07:49:44 UTC 2022 年 7 月 26 日 (火) 16 時 49 分 44 秒 (日本時間)

43×10203-169

c151

composite cofactor 合成数の残り
1479764717010370361825296959315746495907843537999679962000921156043503472429675685734474985750954586308792100772052401980687426219050473447031815856491<151>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10204-169

c183

composite cofactor 合成数の残り
532245075843324939084845200767380641926081480587777982999732684175596864246858953348637484694417371185445904693471688556549622803892188533912012556945073083239214334218953157252618727<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10206-169

c205

composite cofactor 合成数の残り
4265873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10207-169

c172

composite cofactor 合成数の残り
3443588583303151151726176616356577671881155119045045875666838791483032914429637918036881629285344188981560382978930360045116347099605001280576036147013095751414849986867511<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10209-169

c160

composite cofactor 合成数の残り
4477964200300186039802695866045888304648507484184129643775886744512394608628232615526975346907902870324292915509794114687090785719935356473466474294854052678613<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10211-169

c152

composite cofactor 合成数の残り
55468871660970668203874974586899297303652183510579373949578458970279212656540233670234504710696616813197392833178801172015162193846148556039167474735911<152>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10215-169

c211

composite cofactor 合成数の残り
2105415716781436304809357055003251153571960171410217239731446880851097166404224149412050420299732857019749778686533956928090750272235148495460136156744772693443637531630198907925764021089410640281401051336890017<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10216-169

c122

name 名前Eric Jeancolas
date 日付July 6, 2022 09:57:54 UTC 2022 年 7 月 6 日 (水) 18 時 57 分 54 秒 (日本時間)
composite number 合成数
42593334990400421640468732626633211169503900089114443772072363235915446071239389291583305324373027548811948892365541611271<122>
prime factors 素因数
1916400185066642230315360820610554706800360585987<49>
22225699685433526214730577805427441125988017533357060094322980396082025133<74>
factorization results 素因数分解の結果
42593334990400421640468732626633211169503900089114443772072363235915446071239389291583305324373027548811948892365541611271=1916400185066642230315360820610554706800360585987*22225699685433526214730577805427441125988017533357060094322980396082025133

cado polynomial
n: 42593334990400421640468732626633211169503900089114443772072363235915446071239389291583305324373027548811948892365541611271
skew: 28030.957
c0: 1755244722266922829729176600
c1: -103606513805823863603666
c2: -8921814989768160153
c3: -118932316636321
c4: -1547583366
c5: 124920
Y0: -302727073834915166234761
Y1: 2391938355156778613
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.179e-06
# f(x) = 124920*x^5-1547583366*x^4-118932316636321*x^3-8921814989768160153*x^2-103606513805823863603666*x+1755244722266922829729176600
# g(x) = 2391938355156778613*x-302727073834915166234761

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1916400185066642230315360820610554706800360585987 22225699685433526214730577805427441125988017533357060094322980396082025133
Info:Square Root: Total cpu/real time for sqrt: 240.84/71.8237
Info:Quadratic Characters: Total cpu/real time for characters: 25.47/9.83421
Info:Square Root: Total cpu/real time for sqrt: 240.84/71.8237
Info:Linear Algebra: Total cpu/real time for bwc: 6453.33/1676.66
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3949.08, WCT time 1022.62, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25600 iterations)
Info:Linear Algebra: Lingen CPU time 147.56, WCT time 37.54
Info:Linear Algebra: Mksol: CPU time 2273.25,  WCT time 586.82, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 202.67/197.596
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 161.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 128.34/149.168
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 14039419
Info:Lattice Sieving: Average J: 1891.26 for 366181 special-q, max bucket fill -bkmult 1.0,1s:1.264700
Info:Lattice Sieving: Total time: 43112s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.12/1.37869
Info:Generate Free Relations: Total cpu/real time for freerel: 126.54/33.065
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1872.32
Info:Polynomial Selection (root optimized): Rootsieve time: 1869.9
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 57.9/64.4583
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 64.1s
Info:Filtering - Merging: Merged matrix has 815999 rows and total weight 82515057 (101.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 63.13/20.7313
Info:Filtering - Merging: Total cpu/real time for replay: 20.3/16.0692
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20164/36.490/43.535/47.900/1.034
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16236/34.990/38.553/44.000/0.865
Info:Polynomial Selection (size optimized): Total time: 2227.75
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 91115.1/24842.7
Info:root: Cleaning up computation data in /tmp/cado.nalg_k3k
1916400185066642230315360820610554706800360585987 22225699685433526214730577805427441125988017533357060094322980396082025133
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 2, 2022 11:11:11 UTC 2022 年 7 月 2 日 (土) 20 時 11 分 11 秒 (日本時間)
4511e64480Ignacio SantosJuly 4, 2022 10:39:08 UTC 2022 年 7 月 4 日 (月) 19 時 39 分 8 秒 (日本時間)

43×10218-169

c195

composite cofactor 合成数の残り
267433157012196075675239465196647981812542141825767426817888249495242541932544654484910511453501177839593711421434088850080784804014092478337140428901645084205142149506778590331077569589767163531<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10220-169

c197

composite cofactor 合成数の残り
83462897916604568818822060465567154274905287270722444165017059635609807638711977580444076894447647171635601282899719415547598055219844618112662078965770470656782398679103565803995075669004110714607<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10222-169

c190

composite cofactor 合成数の残り
4429541013710783886275168771075011449912467160404692914954734367667286069740124314804207270624219771634407104840671663902615486277466756121576165370332617839136898594942259774875792444171709<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10223-169

c220

composite cofactor 合成数の残り
1065326832362151662900860189479525904784556229436714631149165576564791691441709279739961152733182701074245847702858048915844135251912633289729258334324335037856265112775993974709636500574780988623300432076743171998255837<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10224-169

c222

composite cofactor 合成数の残り
609410430839002267573696145124716553287981859410430839002267573696145124716553287981859410430839002267573696145124716553287981859410430839002267573696145124716553287981859410430839002267573696145124716553287981859410430839<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10228-169

c172

composite cofactor 合成数の残り
3213187853742775536377858130538786366671668775404450647480620330868413978550856072137419411261365760092376917336722081536157691696938600480030270573365571684249403133764647<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10229-169

c223

composite cofactor 合成数の残り
2206998653463928526584705101045226350192503661154138346254643217213587622281070044922585056906895698516510936735634245425312660879936727504278292552514865727023132055877346224340612446027078046288419535210600228903741271269<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10231-169

c162

composite cofactor 合成数の残り
223605797972339953611104654988434761516148346991396704134050340527936218873446208151450391845382022020998564255911360131031750037349062339705122268325344991513807<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10235-169

c209

composite cofactor 合成数の残り
29326657100623802328758898992480971006880058615001590233503068702659898202068380683029324520806601628260049209383627890128517729368989726448325746788027932287747467104028005871026990877278364655381579973517311<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10236-169

c208

composite cofactor 合成数の残り
1296904517387728171756130183461133484775384884881007081989730919447727394669391074980378743980431476314801642046907965761875119944674011054805557734093953718195112405304153541853835367603241685763398671114691<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10238-169

c218

composite cofactor 合成数の残り
12009412714071185592417103915945750251637256178018740520402761853967046259710265318864510483399147019652721338558053269791445057721207215128190808596425453931408127841125476448568217024955346117557272600465219964604171<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10240-169

c209

composite cofactor 合成数の残り
33339993494560592735096358448267520197279940996850860808151940359479265082868619352313432449029998739295840889839868370511940351919216911186250607812456257017763104850657023283330801351578521052209897562832833<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10241-169

c218

composite cofactor 合成数の残り
37748807480731584450219278147925966725963199370455033905283132897442457236823002039363363802669204953192222230810865782528483686143417882845717779454113188913694494591580444776470091292475891875642946344145457803025887<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10242-169

c232

composite cofactor 合成数の残り
2042526584064386158493764219816947461687153716409445585881146567747177313380030869027041166092067195891138433678154091713570675805685111190858994652495700310709321050179198988945805322112454327201850542741020068731740651151881782929<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10243-169

c232

composite cofactor 合成数の残り
1778943316825667706758547184177569620385147609504984527609255389956699762755386650070421240111585067920165892593973330419476314168474072300445809623023439471131887280717370162915145962682559957987531402656661612648597081013003037689<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10244-169

c205

composite cofactor 合成数の残り
5047893414817510343316083639207448377663580393149520638130068581259268046304405000608244971686431711720401937185081373689015384118026822953665112972513770572586498843176607930117846167851269945960687457653<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10246-169

c228

composite cofactor 合成数の残り
479998831467566782362786828246013597488322680235429967221003084516438172879630088928046476264530596413771514530979242011308811047821729890658782361300730877652419470985125411007993877827969888562999834513472412143453769942555373<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10247-169

c230

composite cofactor 合成数の残り
30175071648989690339871639551065333096074783399975253307847210069847392518194611189742514463962799228459233401895193321617953869508759506153754194407325159855480418827371690675565205760391988654956089187036702993512964914029931653<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10253-169

c149

composite cofactor 合成数の残り
16623867164931141665579446042973681747869515607980088107817668317629614499794140199276157499993801662239000337653867292481359156157821300400393239559<149>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 29, 2022 17:27:30 UTC 2022 年 6 月 30 日 (木) 2 時 27 分 30 秒 (日本時間)
4511e64480Ignacio SantosJune 30, 2022 18:42:20 UTC 2022 年 7 月 1 日 (金) 3 時 42 分 20 秒 (日本時間)

43×10254-169

c209

composite cofactor 合成数の残り
32160370542520893478282438387767651374823497891071838803958482592186303511801536443684250962215702622473907895322950366769809714120001076770543328642633961901419812110638463880870030599149260024755497987302319<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10255-169

c250

composite cofactor 合成数の残り
4825570225289040434238475640521502740923887964174966647454163816213556844768363651381055753965047609300287828430553984439668252147042082563486548554663161731567219519902896060359579048675863530180687304844962284240899647890485142630389151938577448831<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10257-169

c168

composite cofactor 合成数の残り
609183479508858582594404251175213135004122319897876902283079122592390205799662437630482262150673073718766059910229223530923728541832566741946463868010167799950256395977<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 29, 2022 19:25:19 UTC 2022 年 6 月 30 日 (木) 4 時 25 分 19 秒 (日本時間)
4511e64480Ignacio SantosJuly 1, 2022 15:52:56 UTC 2022 年 7 月 2 日 (土) 0 時 52 分 56 秒 (日本時間)

43×10258-169

c240

composite cofactor 合成数の残り
824405823316395970747576376040289798131104673815263087851561837530312560410949490727012959461451933561145419642878969189493486917317315726871939411219771255619204992365715431800663379288521497936036797035584931798319350965126389660257530267<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10259-169

c179

composite cofactor 合成数の残り
14453251011869172309681240190631925099242001013631800065912248159195078342051539992401283612516165650096673450487045239914441289962476625135851877461942066034959655600598259555381<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10260-169

c218

composite cofactor 合成数の残り
42978188762871367138570051564357151170837533285252235711724444019868277267144682967002306077725284441732739818343125833007878961472247377210614554347722020552006293154433749271910628201618599916850643866864743026383941<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10264-169

c247

composite cofactor 合成数の残り
1208405331676862857290739050759899670923314877734382009508044726000094801647364277104106182796483198873104058727643058506459999648153484090325602471975947450689432240839399708577658312094152427238286618517871456212587442681561484100840496184514127<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10265-169

c246

composite cofactor 合成数の残り
203182620888565539625994183654064319996165481296492183106415031145747722851217356497190738043859931775924386728400095437958481979299317968467556864497114353439589780669723217128388816815611398235054825177753228091302860854471126485584318996383967<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10266-169

c236

composite cofactor 合成数の残り
15224853744261993519164178420746302650436030880691748836575394794649031084390231993658016422755553433087287103171935836983022921900364471070837459473885364091525342523027731816412201039474601629131572524915313440833027619499267689802941<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10267-169

c259

composite cofactor 合成数の残り
1819325327461110343812769748954638852661298291525843185920953518565265871258175067278329054337704597019179338433427207338526498136946215165861134061180848880300915150019701482433054631174126826926637918808208048786367269934027242494187536516440225515999198717<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10268-169

c209

composite cofactor 合成数の残り
92054803165038194793271578566487368378928225030862793538647774052996023823808519436548018657498930080791481272848191688257055347175853036043652383967861291469791962045974265625542418815917118391600479617953589<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10269-169

c203

composite cofactor 合成数の残り
12360378135008778162337566544683361196876573002205337602314565057371661437771028014128522093592019611931201699707743093936818899914105427512095065013413352261195750226586843287266450800483005141957755071<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10270-169

c232

composite cofactor 合成数の残り
6869490608094511150609518897213836014630639190525383788114985074414391965256866962112220068703315140689490913684549361127985230721974054216925193734873322644182510021895657525982363525157961017201743996866343531555570603919755216149<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10271-169

c269

composite cofactor 合成数の残り
19775570272259013980868285504047093451066961000735835172921265636497424576894775570272259013980868285504047093451066961000735835172921265636497424576894775570272259013980868285504047093451066961000735835172921265636497424576894775570272259013980868285504047093451066961<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10272-169

c224

composite cofactor 合成数の残り
13614557919277708887331162589919661142661807352080168017411663440512736801344636666343812012136160134014117980272919235842457552646891869266938851475621400794571074618224492412597823453419026013704551510164358376389196663533<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10273-169

c242

composite cofactor 合成数の残り
22072038705226401406895904907774250204728743139778407756328164136385991537797515456244297201554673741038018168273217589691029160251651879287482479290021301034127021158915978895887794194786269547648036268630259791577442547451794646493446642959<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10274-169

c262

composite cofactor 合成数の残り
3084629676466120767511014782680295901962741015361532892147285910262514215770850960866066025975546970181534404486449327316035393940447995016868433002144327414975274168005586889421013060405484598367403605214803056946967587794336043077194208192356148411306733646323<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10275-169

c244

composite cofactor 合成数の残り
2726517099146927530496002251773992302805564272583943140897691496448915460848451970106313792183852595496675379148221789309078820921075422482763046282922309103007816291665146703318358561148842133252330768946329319116893296067821345895172471637111<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10277-169

c245

composite cofactor 合成数の残り
72497622965731201169631740651320395409087335233330935502661964554440540918469812767690184562308403633213052325234440811290124924512842850139180888992293200294128108121790961527837830337774955163070785265912628428831804578288573700523213997631791<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10280-169

c259

composite cofactor 合成数の残り
9690712552717224122929438883887750746328372432906859264813289021915508274163406574150694436540549930464024631030982001993188562862037722660263768279196146819624508108203769959347636591938464783345464769518667144072362015814750707316771199886657620409522229523<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10281-169

c247

composite cofactor 合成数の残り
6554820012906509086322947325340065671485978952136945675543356029179345395971622749959450813385509324124560823225816725914570358465436948012768043555460087421223430091105416905218084225934789116648084407567631223732177649497732418533535869303816759<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10282-169

c273

composite cofactor 合成数の残り
110912889287442996999956649795238044600502424757342710099082909785867130759409470741574160619453172456210885696992075181945967959883787774989528439677455758189632213730330687527221322044752433314793151268009279155638737886644102019389753667070773517667020973774821652093629<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10283-169

c266

composite cofactor 合成数の残り
42741169812221954158114570521732814546627471277655996418983602004310672755564780236621843348625364409074190706501386414450712042952485445146769369806839811918993541330991389365136312922938052584634021696089688635445563595005480772954052783800880531997782195066568613<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10284-169

c280

composite cofactor 合成数の残り
2985215546447176958023703999911137769780177057993712997211947526853055194552745287524853655014606729092383396092283426083286125273529052395392493363102180456974018905439479267330911837559843158163662012507358903440079087384895642418385595432481366701100780876848056694102880247037<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10287-169

c209

composite cofactor 合成数の残り
64617526595666118813979678061499381202950069334461405271884377903844412577295430159895162670482421335538127960128936956007033626097207962903948022455007382208289954528384233627602141952934248680955191307991743<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10288-169

c251

composite cofactor 合成数の残り
16014299179419135919026536559604045463119387428596573406131037872127902178057408378936173168293627457286063343694638319477330766648937933831443463120834705931996920423880575018940383452349995540847869752260115811079074800296205135619645150456297799667<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10289-169

c273

composite cofactor 合成数の残り
411179805454372323600252019120684929789651141610746821329173582043011014495236592396421586163579281440602832578015010320607273299739163054650392685630213074947561932549346593971588659329854206332623333566918485224114030508824067516299960524658444102351354333770901166983339<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10290-169

c163

name 名前Ignacio Santos
date 日付July 1, 2022 15:51:27 UTC 2022 年 7 月 2 日 (土) 0 時 51 分 27 秒 (日本時間)
composite number 合成数
9438493811342557322877459906253805016652720880706188496309106990035070773922886829004382966062363067229378008601844994830022151879425092301411030509115176850874181<163>
prime factors 素因数
207299515759960238102576934296304289426818543743<48>
45530708437697161508487448156650997648193248819704329243232390144226210602075079146319291886780095637096700047543867<116>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:966575415
Step 1 took 26610ms
Step 2 took 11984ms
********** Factor found in step 2: 207299515759960238102576934296304289426818543743
Found prime factor of 48 digits: 207299515759960238102576934296304289426818543743
Prime cofactor 45530708437697161508487448156650997648193248819704329243232390144226210602075079146319291886780095637096700047543867 has 116 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 29, 2022 19:24:19 UTC 2022 年 6 月 30 日 (木) 4 時 24 分 19 秒 (日本時間)

43×10291-169

c288

composite cofactor 合成数の残り
505264147396127091558563639781913893589020492573792066177852979883436736228614401203233690543335213385974807294604248918969731152472269223538259071253995111863132167700695619477345365670238766685467193081406279375822523030644858056025568715924045873284451964655010340289528106786990035721<288>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10292-169

c287

composite cofactor 合成数の残り
59601826532626317061757472128522606556977128422808149759707612844276783120319177483705137843777791084232073433885772960841322750266683521508774497736793898547156965152613942059262511948087086307880304008125808089880663282391790804796533225107505061996988305844416500890423566617654560011<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10293-169

c244

composite cofactor 合成数の残り
2230202000098274767907050254905139099057885506476416401027551084913845313421189231659789835870953432652335753618800561775173525197162791657541040527175866328375637790340452360288352560942031867122254409552572704820716977690804976888399177945051<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10295-169

c260

composite cofactor 合成数の残り
26871358303523187162649083960342791454787027210986731538668304471708069978045781263407307103428581392448356105606694804335963274644947591417960149277316625890640997280641375041082960557745138528666090243947304013368744994566893498095460970062117404381081689823<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10296-169

c266

composite cofactor 合成数の残り
87883581193626187940160753084247007405223507639752154203476765262621138080996032159815547460142817388903476547374138283807231621883945790912946000882927283920743259609344714335507996657169127071130212622718734188822950969371076381590884444855729503054840045576470219<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10298-169

c230

composite cofactor 合成数の残り
49673420882435364960951331730557796766505344201260775997875356698128450361271904154394056215838594651983299435572080183470738568905579112822152793571920048994981131262797539203113021976295562122807069414014258626175243863466982551<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

43×10300-169

c291

name 名前Dmitry Domanov
date 日付July 7, 2022 22:14:41 UTC 2022 年 7 月 8 日 (金) 7 時 14 分 41 秒 (日本時間)
composite number 合成数
588715366420171312736816383166132484743954967606099612463865880265871850670351042171290888521233020998944373874065569365933061975439671578586327632840884769347252592185992354368541697551359341820505094831608565216821156433083749803124545372772915042520082892201351812320737663250056435240781<291>
prime factors 素因数
27950295676733018788535840911179786736100941639<47>
composite cofactor 合成数の残り
21062938769203873336413500769506309851451204948898002245614103658947873342093658424993132379771130621819161937652272106769821648618625001588081872275430132434717842530296734501367491423358500453087838527912539319311957938069376360386418949336779<245>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3448730766
Step 1 took 675833ms
Step 2 took 172833ms
********** Factor found in step 2: 27950295676733018788535840911179786736100941639
Found prime factor of 47 digits: 27950295676733018788535840911179786736100941639
Composite cofactor 21062938769203873336413500769506309851451204948898002245614103658947873342093658424993132379771130621819161937652272106769821648618625001588081872275430132434717842530296734501367491423358500453087838527912539319311957938069376360386418949336779 has 245 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 1, 2022 07:38:47 UTC 2022 年 7 月 1 日 (金) 16 時 38 分 47 秒 (日本時間)
4511e63584Dmitry DomanovJuly 7, 2022 22:14:25 UTC 2022 年 7 月 8 日 (金) 7 時 14 分 25 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovJuly 7, 2022 22:14:25 UTC 2022 年 7 月 8 日 (金) 7 時 14 分 25 秒 (日本時間)