Table of contents 目次

43×10118-529

c106

name 名前Dmitry Domanov
date 日付June 29, 2022 23:11:42 UTC 2022 年 6 月 30 日 (木) 8 時 11 分 42 秒 (日本時間)
composite number 合成数
2616636817475273689528584049332610951972299672990672119846140185309065487472331442662546532286747115912153<106>
prime factors 素因数
10641378448055289247325747547413484849409243729<47>
245892656693688380475222957626225320394882509664502021832457<60>
factorization results 素因数分解の結果
N=2616636817475273689528584049332610951972299672990672119846140185309065487472331442662546532286747115912153
  ( 106 digits)
SNFS difficulty: 119 digits.
Divisors found:
p47 factor: 10641378448055289247325747547413484849409243729
p60 factor: 245892656693688380475222957626225320394882509664502021832457
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.53 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2616636817475273689528584049332610951972299672990672119846140185309065487472331442662546532286747115912153
m: 100000000000000000000000000000
deg: 4
c4: 1075
c0: -13
skew: 0.33
# Murphy_E = 4.199e-08
type: snfs
lss: 1
rlim: 670000
alim: 670000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 670000/670000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [335000, 585001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 58540 x 58766
Total sieving time: 0.52 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,119.000,4,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000
total time: 0.53 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)

43×10127-529

c118

name 名前Bob Backstrom
date 日付June 30, 2022 05:51:45 UTC 2022 年 6 月 30 日 (木) 14 時 51 分 45 秒 (日本時間)
composite number 合成数
5871100798034848384979446652128262381739117743849116631276607701495728952241282224475491724425560961342396379379893059<118>
prime factors 素因数
890739027668762639093471286521327462740261<42>
6591269289502966551790812374863586439248082016099864157576086858531228482119<76>
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 5871100798034848384979446652128262381739117743849116631276607701495728952241282224475491724425560961342396379379893059 (118 digits)
Using B1=15690000, B2=46848203230, polynomial Dickson(12), sigma=1:3097296381
Step 1 took 23732ms
Step 2 took 10253ms
********** Factor found in step 2: 890739027668762639093471286521327462740261
Found prime factor of 42 digits: 890739027668762639093471286521327462740261
Prime cofactor 6591269289502966551790812374863586439248082016099864157576086858531228482119 has 76 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)

43×10129-529

c89

name 名前Eric Jeancolas
date 日付June 29, 2022 16:17:48 UTC 2022 年 6 月 30 日 (木) 1 時 17 分 48 秒 (日本時間)
composite number 合成数
92887815644558398170565258610620273554584344107349146775903852693265688735333072569276177<89>
prime factors 素因数
7699817304882615342966336283531562401<37>
12063638910712373621269601166683355007456460767851377<53>
factorization results 素因数分解の結果
Wed Jun 29 17:10:58 2022  Msieve v. 1.53 (SVN 1005)
Wed Jun 29 17:10:58 2022  random seeds: 4518c270 d7ce9402
Wed Jun 29 17:10:58 2022  factoring 92887815644558398170565258610620273554584344107349146775903852693265688735333072569276177 (89 digits)
Wed Jun 29 17:10:58 2022  searching for 15-digit factors
Wed Jun 29 17:10:59 2022  commencing quadratic sieve (89-digit input)
Wed Jun 29 17:10:59 2022  using multiplier of 17
Wed Jun 29 17:10:59 2022  using generic 32kb sieve core
Wed Jun 29 17:10:59 2022  sieve interval: 33 blocks of size 32768
Wed Jun 29 17:10:59 2022  processing polynomials in batches of 7
Wed Jun 29 17:10:59 2022  using a sieve bound of 1565671 (59210 primes)
Wed Jun 29 17:10:59 2022  using large prime bound of 125253680 (26 bits)
Wed Jun 29 17:10:59 2022  using double large prime bound of 376723614530800 (42-49 bits)
Wed Jun 29 17:10:59 2022  using trial factoring cutoff of 49 bits
Wed Jun 29 17:10:59 2022  polynomial 'A' values have 12 factors
Wed Jun 29 18:06:33 2022  59779 relations (16173 full + 43606 combined from 628331 partial), need 59306
Wed Jun 29 18:06:34 2022  begin with 644504 relations
Wed Jun 29 18:06:34 2022  reduce to 144270 relations in 10 passes
Wed Jun 29 18:06:34 2022  attempting to read 144270 relations
Wed Jun 29 18:06:34 2022  recovered 144270 relations
Wed Jun 29 18:06:34 2022  recovered 124084 polynomials
Wed Jun 29 18:06:34 2022  attempting to build 59779 cycles
Wed Jun 29 18:06:34 2022  found 59779 cycles in 6 passes
Wed Jun 29 18:06:34 2022  distribution of cycle lengths:
Wed Jun 29 18:06:34 2022     length 1 : 16173
Wed Jun 29 18:06:34 2022     length 2 : 11583
Wed Jun 29 18:06:34 2022     length 3 : 10718
Wed Jun 29 18:06:34 2022     length 4 : 7995
Wed Jun 29 18:06:34 2022     length 5 : 5553
Wed Jun 29 18:06:34 2022     length 6 : 3437
Wed Jun 29 18:06:34 2022     length 7 : 1985
Wed Jun 29 18:06:34 2022     length 9+: 2335
Wed Jun 29 18:06:34 2022  largest cycle: 16 relations
Wed Jun 29 18:06:34 2022  matrix is 59210 x 59779 (15.4 MB) with weight 3546774 (59.33/col)
Wed Jun 29 18:06:34 2022  sparse part has weight 3546774 (59.33/col)
Wed Jun 29 18:06:35 2022  filtering completed in 3 passes
Wed Jun 29 18:06:35 2022  matrix is 55108 x 55172 (14.2 MB) with weight 3268984 (59.25/col)
Wed Jun 29 18:06:35 2022  sparse part has weight 3268984 (59.25/col)
Wed Jun 29 18:06:35 2022  saving the first 48 matrix rows for later
Wed Jun 29 18:06:35 2022  matrix includes 64 packed rows
Wed Jun 29 18:06:35 2022  matrix is 55060 x 55172 (9.4 MB) with weight 2578648 (46.74/col)
Wed Jun 29 18:06:35 2022  sparse part has weight 1905787 (34.54/col)
Wed Jun 29 18:06:35 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Wed Jun 29 18:06:35 2022  commencing Lanczos iteration
Wed Jun 29 18:06:35 2022  memory use: 5.8 MB
Wed Jun 29 18:06:39 2022  lanczos halted after 872 iterations (dim = 55057)
Wed Jun 29 18:06:39 2022  recovered 15 nontrivial dependencies
Wed Jun 29 18:06:39 2022  p37 factor: 7699817304882615342966336283531562401
Wed Jun 29 18:06:39 2022  p53 factor: 12063638910712373621269601166683355007456460767851377
Wed Jun 29 18:06:39 2022  elapsed time 00:55:41
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)

43×10131-529

c106

name 名前Dmitry Domanov
date 日付June 30, 2022 22:29:02 UTC 2022 年 7 月 1 日 (金) 7 時 29 分 2 秒 (日本時間)
composite number 合成数
5862205344296775237027409838639345468789901757854895199400184810272738299817701557261033858075192338908597<106>
prime factors 素因数
509459770911111604678118418917317547526580552742917<51>
11506709025941104460197163777553514385782635775215597041<56>
factorization results 素因数分解の結果
N=5862205344296775237027409838639345468789901757854895199400184810272738299817701557261033858075192338908597
  ( 106 digits)
SNFS difficulty: 132 digits.
Divisors found:
p51 factor: 509459770911111604678118418917317547526580552742917
p56 factor: 11506709025941104460197163777553514385782635775215597041
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.63 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 5862205344296775237027409838639345468789901757854895199400184810272738299817701557261033858075192338908597
m: 500000000000000000000000000000000
deg: 4
c4: 86
c0: -65
skew: 0.93
# Murphy_E = 9.589e-09
type: snfs
lss: 1
rlim: 1140000
alim: 1140000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1140000/1140000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [570000, 1270001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 174819 x 175048
Total sieving time: 1.57 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,132.000,4,0,0,0,0,0,0,0,0,1140000,1140000,26,26,47,47,2.3,2.3,100000
total time: 1.63 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)

43×10133-529

c123

name 名前Eric Jeancolas
date 日付July 4, 2022 11:01:23 UTC 2022 年 7 月 4 日 (月) 20 時 1 分 23 秒 (日本時間)
composite number 合成数
175530419141653167234078508482626468108595761042458709779698624606250653837881242131741286309561686722693254804466230295857<123>
prime factors 素因数
1737009602679547465331750686354192942647256889<46>
101053223235424985014470798274679964631925437783841571855767700788078353206713<78>
factorization results 素因数分解の結果
175530419141653167234078508482626468108595761042458709779698624606250653837881242131741286309561686722693254804466230295857=1737009602679547465331750686354192942647256889*101053223235424985014470798274679964631925437783841571855767700788078353206713

cado polynomial
n: 175530419141653167234078508482626468108595761042458709779698624606250653837881242131741286309561686722693254804466230295857
skew: 0.59
type: snfs
c0: -26
c4: 215
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 215*x^4-26
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1210000
tasks.lim1 = 1210000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 47
tasks.sieve.mfb1 = 47
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: 1737009602679547465331750686354192942647256889 101053223235424985014470798274679964631925437783841571855767700788078353206713
Info:Square Root: Total cpu/real time for sqrt: 14.73/4.83321
Info:Quadratic Characters: Total cpu/real time for characters: 3.3/1.29101
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 47.41/47.5145
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 36.3s
Info:Square Root: Total cpu/real time for sqrt: 14.73/4.83321
Info:Linear Algebra: Total cpu/real time for bwc: 156.04/42.54
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 88.89, WCT time 23.69, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3392 iterations)
Info:Linear Algebra: Lingen CPU time 12.39, WCT time 3.18
Info:Linear Algebra: Mksol: CPU time 48.63,  WCT time 13.11, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1664 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 53.53/45.6574
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6126114
Info:Lattice Sieving: Average J: 1894.13 for 64676 special-q, max bucket fill -bkmult 1.0,1s:1.311820
Info:Lattice Sieving: Total time: 6319.02s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.36/11.0851
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.28/23.0511
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.0s
Info:Filtering - Merging: Merged matrix has 107109 rows and total weight 18268218 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 21.43/5.95512
Info:Filtering - Merging: Total cpu/real time for replay: 3.26/2.70469
Info:Generate Factor Base: Total cpu/real time for makefb: 0.63/0.335613
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 11731.8/3442.3
Info:root: Cleaning up computation data in /tmp/cado._71cnvbx
1737009602679547465331750686354192942647256889 101053223235424985014470798274679964631925437783841571855767700788078353206713
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)

43×10138-529

c108

name 名前Eric Jeancolas
date 日付July 4, 2022 17:03:33 UTC 2022 年 7 月 5 日 (火) 2 時 3 分 33 秒 (日本時間)
composite number 合成数
400140602977940799590376669328647778552594773530532477381131771627734536844224199318846398743983629229605001<108>
prime factors 素因数
3841790311608813991568987136225211375508764051<46>
104154722283730062584370872604719158863985439901822316169118451<63>
factorization results 素因数分解の結果
400140602977940799590376669328647778552594773530532477381131771627734536844224199318846398743983629229605001=3841790311608813991568987136225211375508764051*104154722283730062584370872604719158863985439901822316169118451

cado polynomial
n: 400140602977940799590376669328647778552594773530532477381131771627734536844224199318846398743983629229605001
skew: 0.33
type: snfs
c0: -13
c4: 1075
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 1075*x^4-13
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1450000
tasks.lim1 = 1450000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
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: 3841790311608813991568987136225211375508764051 104154722283730062584370872604719158863985439901822316169118451
Info:Square Root: Total cpu/real time for sqrt: 25.66/8.06518
Info:Filtering - Singleton removal: Total cpu/real time for purge: 43.01/39.0871
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6040361
Info:Lattice Sieving: Average J: 1896.12 for 97387 special-q, max bucket fill -bkmult 1.0,1s:1.306490
Info:Lattice Sieving: Total time: 8651.11s
Info:Linear Algebra: Total cpu/real time for bwc: 336.61/88.61
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 194.99, WCT time 50.29, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4992 iterations)
Info:Linear Algebra: Lingen CPU time 19.94, WCT time 5.12
Info:Linear Algebra: Mksol: CPU time 108.37,  WCT time 28.02, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2560 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.52/11.2432
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.32/22.4332
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.3s
Info:Filtering - Merging: Merged matrix has 158925 rows and total weight 27122543 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 32.2/8.93715
Info:Filtering - Merging: Total cpu/real time for replay: 4.91/4.05512
Info:Generate Factor Base: Total cpu/real time for makefb: 0.75/0.409213
Info:Quadratic Characters: Total cpu/real time for characters: 4.95/1.9351
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 48.42/48.6439
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 37.3s
Info:Square Root: Total cpu/real time for sqrt: 25.66/8.06518
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 16135.5/4648.55
Info:root: Cleaning up computation data in /tmp/cado.or7pr7yt
3841790311608813991568987136225211375508764051 104154722283730062584370872604719158863985439901822316169118451
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)

43×10142-529

c85

name 名前Eric Jeancolas
date 日付June 29, 2022 15:29:51 UTC 2022 年 6 月 30 日 (木) 0 時 29 分 51 秒 (日本時間)
composite number 合成数
4103964018246687633781286722074860922890217111721457603732001651899553238348937535763<85>
prime factors 素因数
62292952461959618896466484310821940320481<41>
65881674508089043295996331082438520203588723<44>
factorization results 素因数分解の結果
Wed Jun 29 17:00:16 2022  Msieve v. 1.53 (SVN 1005)
Wed Jun 29 17:00:16 2022  random seeds: dce9fbc8 b1bd47ba
Wed Jun 29 17:00:16 2022  factoring 4103964018246687633781286722074860922890217111721457603732001651899553238348937535763 (85 digits)
Wed Jun 29 17:00:16 2022  searching for 15-digit factors
Wed Jun 29 17:00:17 2022  commencing quadratic sieve (85-digit input)
Wed Jun 29 17:00:17 2022  using multiplier of 3
Wed Jun 29 17:00:17 2022  using generic 32kb sieve core
Wed Jun 29 17:00:17 2022  sieve interval: 12 blocks of size 32768
Wed Jun 29 17:00:17 2022  processing polynomials in batches of 17
Wed Jun 29 17:00:17 2022  using a sieve bound of 1434241 (54407 primes)
Wed Jun 29 17:00:17 2022  using large prime bound of 116173521 (26 bits)
Wed Jun 29 17:00:17 2022  using double large prime bound of 328997602795950 (41-49 bits)
Wed Jun 29 17:00:17 2022  using trial factoring cutoff of 49 bits
Wed Jun 29 17:00:17 2022  polynomial 'A' values have 11 factors
Wed Jun 29 17:25:59 2022  54796 relations (15497 full + 39299 combined from 576243 partial), need 54503
Wed Jun 29 17:26:00 2022  begin with 591740 relations
Wed Jun 29 17:26:00 2022  reduce to 130297 relations in 10 passes
Wed Jun 29 17:26:00 2022  attempting to read 130297 relations
Wed Jun 29 17:26:01 2022  recovered 130297 relations
Wed Jun 29 17:26:01 2022  recovered 111809 polynomials
Wed Jun 29 17:26:01 2022  attempting to build 54796 cycles
Wed Jun 29 17:26:01 2022  found 54796 cycles in 5 passes
Wed Jun 29 17:26:01 2022  distribution of cycle lengths:
Wed Jun 29 17:26:01 2022     length 1 : 15497
Wed Jun 29 17:26:01 2022     length 2 : 10951
Wed Jun 29 17:26:01 2022     length 3 : 9843
Wed Jun 29 17:26:01 2022     length 4 : 7025
Wed Jun 29 17:26:01 2022     length 5 : 4824
Wed Jun 29 17:26:01 2022     length 6 : 2945
Wed Jun 29 17:26:01 2022     length 7 : 1741
Wed Jun 29 17:26:01 2022     length 9+: 1970
Wed Jun 29 17:26:01 2022  largest cycle: 17 relations
Wed Jun 29 17:26:01 2022  matrix is 54407 x 54796 (12.5 MB) with weight 2845916 (51.94/col)
Wed Jun 29 17:26:01 2022  sparse part has weight 2845916 (51.94/col)
Wed Jun 29 17:26:02 2022  filtering completed in 3 passes
Wed Jun 29 17:26:02 2022  matrix is 49688 x 49751 (11.4 MB) with weight 2595376 (52.17/col)
Wed Jun 29 17:26:02 2022  sparse part has weight 2595376 (52.17/col)
Wed Jun 29 17:26:02 2022  saving the first 48 matrix rows for later
Wed Jun 29 17:26:02 2022  matrix includes 64 packed rows
Wed Jun 29 17:26:02 2022  matrix is 49640 x 49751 (6.6 MB) with weight 1896913 (38.13/col)
Wed Jun 29 17:26:02 2022  sparse part has weight 1224334 (24.61/col)
Wed Jun 29 17:26:02 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Wed Jun 29 17:26:02 2022  commencing Lanczos iteration
Wed Jun 29 17:26:02 2022  memory use: 4.2 MB
Wed Jun 29 17:26:11 2022  lanczos halted after 787 iterations (dim = 49639)
Wed Jun 29 17:26:11 2022  recovered 17 nontrivial dependencies
Wed Jun 29 17:26:12 2022  p41 factor: 62292952461959618896466484310821940320481
Wed Jun 29 17:26:12 2022  p44 factor: 65881674508089043295996331082438520203588723
Wed Jun 29 17:26:12 2022  elapsed time 00:25:56
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)

43×10143-529

c126

name 名前Eric Jeancolas
date 日付July 5, 2022 03:39:27 UTC 2022 年 7 月 5 日 (火) 12 時 39 分 27 秒 (日本時間)
composite number 合成数
175057686804493877651955093622737640595314811656376600307883223113386635912725636179815329503724746182612991781547289125444059<126>
prime factors 素因数
23908223863968498948481422279996616682691994100049572792440447<62>
7322069920397518432477572191607685882489155648045616500531308197<64>
factorization results 素因数分解の結果
175057686804493877651955093622737640595314811656376600307883223113386635912725636179815329503724746182612991781547289125444059=23908223863968498948481422279996616682691994100049572792440447*7322069920397518432477572191607685882489155648045616500531308197

cado polynomial
n: 175057686804493877651955093622737640595314811656376600307883223113386635912725636179815329503724746182612991781547289125444059
skew: 0.93
type: snfs
c0: -65
c4: 86
Y0: 500000000000000000000000000000000000
Y1: -1
# f(x) = 86*x^4-65
# g(x) = -x+500000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1810000
tasks.lim1 = 1810000
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: 23908223863968498948481422279996616682691994100049572792440447 7322069920397518432477572191607685882489155648045616500531308197
Info:Square Root: Total cpu/real time for sqrt: 68.64/21.8381
Info:Filtering - Singleton removal: Total cpu/real time for purge: 35.12/33.7207
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6056944
Info:Lattice Sieving: Average J: 1896.33 for 142470 special-q, max bucket fill -bkmult 1.0,1s:1.314460
Info:Lattice Sieving: Total time: 20632s
Info:Linear Algebra: Total cpu/real time for bwc: 828.63/214.94
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 500.1, WCT time 127.88, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7552 iterations)
Info:Linear Algebra: Lingen CPU time 32.84, WCT time 8.4
Info:Linear Algebra: Mksol: CPU time 274.58,  WCT time 70.29, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3840 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.6/25.9291
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.76/23.1203
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.1s
Info:Filtering - Merging: Merged matrix has 240686 rows and total weight 40950643 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 48.66/13.5665
Info:Filtering - Merging: Total cpu/real time for replay: 7.58/6.32854
Info:Generate Factor Base: Total cpu/real time for makefb: 0.92/1.21107
Info:Quadratic Characters: Total cpu/real time for characters: 7.79/3.04414
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.53/47.4722
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 36.5s
Info:Square Root: Total cpu/real time for sqrt: 68.64/21.8381
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 23180.3/10813.9
Info:root: Cleaning up computation data in /tmp/cado.0s3489gv
23908223863968498948481422279996616682691994100049572792440447 7322069920397518432477572191607685882489155648045616500531308197
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)

43×10144-529

c113

name 名前Eric Jeancolas
date 日付July 5, 2022 07:31:00 UTC 2022 年 7 月 5 日 (火) 16 時 31 分 0 秒 (日本時間)
composite number 合成数
14963324708300713184436260118850105617256550821720120836635662952669059718241406830422487092241855118313984204401<113>
prime factors 素因数
269061075555642321539967712514230004406624323174805353<54>
55613115637034128789546895275337298420520566231323302927817<59>
factorization results 素因数分解の結果
14963324708300713184436260118850105617256550821720120836635662952669059718241406830422487092241855118313984204401=269061075555642321539967712514230004406624323174805353*55613115637034128789546895275337298420520566231323302927817

cado polynomial
n: 14963324708300713184436260118850105617256550821720120836635662952669059718241406830422487092241855118313984204401
skew: 1.05
type: snfs
c0: -52
c4: 43
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 43*x^4-52
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1870000
tasks.lim1 = 1870000
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: 269061075555642321539967712514230004406624323174805353 55613115637034128789546895275337298420520566231323302927817
Info:Square Root: Total cpu/real time for sqrt: 45.35/21.1219
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6059379
Info:Lattice Sieving: Average J: 1896.29 for 172402 special-q, max bucket fill -bkmult 1.0,1s:1.308670
Info:Lattice Sieving: Total time: 22800.7s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.38/11.2945
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.02/39.4068
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.96/77.2719
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.8s
Info:Filtering - Merging: Merged matrix has 269578 rows and total weight 45874543 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 56.79/44.4232
Info:Filtering - Merging: Total cpu/real time for replay: 9.44/10.3085
Info:Linear Algebra: Total cpu/real time for bwc: 1151.63/1066.88
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 577.79, WCT time 564.13, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (8448 iterations)
Info:Linear Algebra: Lingen CPU time 227.63, WCT time 198.24
Info:Linear Algebra: Mksol: CPU time 322.24,  WCT time 283.08, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4224 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 0.95/0.537938
Info:Quadratic Characters: Total cpu/real time for characters: 8.92/4.84188
Info:Square Root: Total cpu/real time for sqrt: 45.35/21.1219
Info:Filtering - Singleton removal: Total cpu/real time for purge: 33.8/50.1552
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 27709/12875.7
Info:root: Cleaning up computation data in /tmp/cado.mb_04y_c
269061075555642321539967712514230004406624323174805353 55613115637034128789546895275337298420520566231323302927817
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)

43×10145-529

c104

name 名前Eric Jeancolas
date 日付July 2, 2022 05:11:37 UTC 2022 年 7 月 2 日 (土) 14 時 11 分 37 秒 (日本時間)
composite number 合成数
12641471894666076807567998637743382957624326844973202228859037152611534468995628104719688931111568585181<104>
prime factors 素因数
247189212794865728843532517020662658896259072613<48>
51140872013524402112031128668346654875225144915686784537<56>
factorization results 素因数分解の結果
12641471894666076807567998637743382957624326844973202228859037152611534468995628104719688931111568585181=247189212794865728843532517020662658896259072613*51140872013524402112031128668346654875225144915686784537

cado polynomial
n: 12641471894666076807567998637743382957624326844973202228859037152611534468995628104719688931111568585181
skew: 39005.892
c0: -995228062431289621257576
c1: 5384571341156414761937
c2: 11062242145468890
c3: -4070087669951
c4: -6670368
c5: 720
Y0: -160163660307072572118
Y1: 7864465753243
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 4.182e-06
# f(x) = 720*x^5-6670368*x^4-4070087669951*x^3+11062242145468890*x^2+5384571341156414761937*x-995228062431289621257576
# g(x) = 7864465753243*x-160163660307072572118

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: 247189212794865728843532517020662658896259072613 51140872013524402112031128668346654875225144915686784537
Info:Square Root: Total cpu/real time for sqrt: 46.93/14.6396
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): 12665/30.600/36.168/41.410/1.036
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8685/28.980/32.295/36.860/0.793
Info:Polynomial Selection (size optimized): Total time: 527.4
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 38.71/37.8403
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 29.6s
Info:Quadratic Characters: Total cpu/real time for characters: 6.88/2.65461
Info:Square Root: Total cpu/real time for sqrt: 46.93/14.6396
Info:Linear Algebra: Total cpu/real time for bwc: 455.96/119.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 267.87, WCT time 68.89, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6016 iterations)
Info:Linear Algebra: Lingen CPU time 24.64, WCT time 6.31
Info:Linear Algebra: Mksol: CPU time 149.09,  WCT time 38.43, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3072 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 17.68/19.3933
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4669902
Info:Lattice Sieving: Average J: 1957.83 for 35074 special-q, max bucket fill -bkmult 1.0,1s:1.309610
Info:Lattice Sieving: Total time: 3671.59s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.52/0.422288
Info:Generate Free Relations: Total cpu/real time for freerel: 61.75/15.8241
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.74/18.0709
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 17.9s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 147
Info:Polynomial Selection (root optimized): Rootsieve time: 146.42
Info:Filtering - Merging: Merged matrix has 190365 rows and total weight 27867650 (146.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 24.88/7.64621
Info:Filtering - Merging: Total cpu/real time for replay: 5.99/4.7945
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 7980.2/2344.5
Info:root: Cleaning up computation data in /tmp/cado.ilz59k21
247189212794865728843532517020662658896259072613 51140872013524402112031128668346654875225144915686784537
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)

43×10146-529

c135

name 名前Bob Backstrom
date 日付July 3, 2022 16:03:09 UTC 2022 年 7 月 4 日 (月) 1 時 3 分 9 秒 (日本時間)
composite number 合成数
334418985518079630909881979589172331290523586628674580934844194784915301385072969218725138510183096151440511298583529090678633292913313<135>
prime factors 素因数
129618047531573023064629507267269846599668486882907<51>
2580034122459838426851217229565140017748424216174180259575400204717389481255782337459<85>
factorization results 素因数分解の結果
Number: n
N=334418985518079630909881979589172331290523586628674580934844194784915301385072969218725138510183096151440511298583529090678633292913313  ( 135 digits)
SNFS difficulty: 147 digits.
Divisors found:

Mon Jul  4 01:57:48 2022  p51 factor: 129618047531573023064629507267269846599668486882907
Mon Jul  4 01:57:48 2022  p85 factor: 2580034122459838426851217229565140017748424216174180259575400204717389481255782337459
Mon Jul  4 01:57:48 2022  elapsed time 00:04:44 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 43x10^146-52 = 47(145)2
#
n: 334418985518079630909881979589172331290523586628674580934844194784915301385072969218725138510183096151440511298583529090678633292913313
m: 1000000000000000000000000000000000000
deg: 4
c4: 1075
c0: -13
skew: 0.33
# Murphy_E = 1.787e-09
type: snfs
lss: 1
rlim: 1980000
alim: 1980000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1980000/1980000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6590000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 436220 hash collisions in 5841156 relations (6066209 unique)
Msieve: matrix is 317629 x 317854 (109.6 MB)

Sieving start time : 2022/07/04 01:28:38
Sieving end time  : 2022/07/04 01:52:53

Total sieving time: 0hrs 24min 15secs.

Total relation processing time: 0hrs 1min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 31sec.

Prototype def-par.txt line would be:
snfs,147,4,0,0,0,0,0,0,0,0,1980000,1980000,26,26,49,49,2.3,2.3,100000
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)

43×10148-529

c123

name 名前Eric Jeancolas
date 日付July 5, 2022 16:43:44 UTC 2022 年 7 月 6 日 (水) 1 時 43 分 44 秒 (日本時間)
composite number 合成数
183867278505475231221321893898297841369886367670927456513357634036211585357099211195202552712357402539456134077507235807207<123>
prime factors 素因数
20548660608848347657451975044783740664076748906072943<53>
8947896021325162985168266405567202278919450372592672762770384639031049<70>
factorization results 素因数分解の結果
183867278505475231221321893898297841369886367670927456513357634036211585357099211195202552712357402539456134077507235807207=20548660608848347657451975044783740664076748906072943*8947896021325162985168266405567202278919450372592672762770384639031049

cado polynomial
n: 183867278505475231221321893898297841369886367670927456513357634036211585357099211195202552712357402539456134077507235807207
skew: 1.05
type: snfs
c0: -52
c4: 43
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 43*x^4-52
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2200000
tasks.lim1 = 2200000
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: 8947896021325162985168266405567202278919450372592672762770384639031049 20548660608848347657451975044783740664076748906072943
Info:Square Root: Total cpu/real time for sqrt: 60.16/19.8015
Info:Quadratic Characters: Total cpu/real time for characters: 11.13/4.36655
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.84/49.7413
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 38.400000000000006s
Info:Square Root: Total cpu/real time for sqrt: 60.16/19.8015
Info:Linear Algebra: Total cpu/real time for bwc: 1679.42/452.47
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1028.82, WCT time 262.97, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10880 iterations)
Info:Linear Algebra: Lingen CPU time 53.81, WCT time 14.08
Info:Linear Algebra: Mksol: CPU time 566.3,  WCT time 162.84, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5504 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 27.26/28.0571
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6039592
Info:Lattice Sieving: Average J: 1896.22 for 252346 special-q, max bucket fill -bkmult 1.0,1s:1.311080
Info:Lattice Sieving: Total time: 21289.7s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.15/11.3095
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.34/25.1953
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 25.1s
Info:Filtering - Merging: Merged matrix has 346158 rows and total weight 58938575 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 68.6/19.2464
Info:Filtering - Merging: Total cpu/real time for replay: 11.19/9.27234
Info:Generate Factor Base: Total cpu/real time for makefb: 1.13/0.609884
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 40798.1/11359
Info:root: Cleaning up computation data in /tmp/cado.lnlmy_u5
8947896021325162985168266405567202278919450372592672762770384639031049 20548660608848347657451975044783740664076748906072943
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)

43×10154-529

c103

name 名前Dmitry Domanov
date 日付June 30, 2022 11:58:26 UTC 2022 年 6 月 30 日 (木) 20 時 58 分 26 秒 (日本時間)
composite number 合成数
3023883351924931157990829947544188314620014374830691420489342959940456141677108189324322569871712455759<103>
prime factors 素因数
670119796838833619575077153196886908541630101653721<51>
4512451902166660952869280413657531725944005526635879<52>
factorization results 素因数分解の結果
N=3023883351924931157990829947544188314620014374830691420489342959940456141677108189324322569871712455759
  ( 103 digits)
Divisors found:
p51 factor: 670119796838833619575077153196886908541630101653721
p52 factor: 4512451902166660952869280413657531725944005526635879
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.40 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3023883351924931157990829947544188314620014374830691420489342959940456141677108189324322569871712455759
skew: 1258559.02
c0: -3230927220621424163672473685
c1: 136908850234820036116
c2: -17812531432479313
c3: 4173913518
c4: 10920
Y0: -4079297349424558644958402
Y1: 23169577900351
rlim: 2220000
alim: 2220000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 2220000/2220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1110000, 1560001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 232410 x 232637
Total sieving time: 2.36 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,102,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2220000,2220000,26,26,52,52,2.5,2.5,100000
total time: 2.40 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)

43×10157-529

c120

name 名前Bob Backstrom
date 日付June 30, 2022 22:10:01 UTC 2022 年 7 月 1 日 (金) 7 時 10 分 1 秒 (日本時間)
composite number 合成数
313797319139454809441083149421876918752990221424761575071913522107256397411396070613550670118284781010708128648442647937<120>
prime factors 素因数
1552537879751678630423008737452520944531<40>
6884759508010970379573796568033079822311<40>
29357444553802717681208900106720191606957<41>
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 313797319139454809441083149421876918752990221424761575071913522107256397411396070613550670118284781010708128648442647937 (120 digits)
Using B1=15830000, B2=58558142380, polynomial Dickson(12), sigma=1:114097727
Step 1 took 24104ms
Step 2 took 12095ms
********** Factor found in step 2: 29357444553802717681208900106720191606957
Found prime factor of 41 digits: 29357444553802717681208900106720191606957
Composite cofactor 10688849929167562059608800714748128175168053515697581595969936013252091367231141 has 80 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 10688849929167562059608800714748128175168053515697581595969936013252091367231141 (80 digits)
Using B1=19540000, B2=70271979970, polynomial Dickson(12), sigma=1:1482231257
Step 1 took 20296ms
Step 2 took 10138ms
********** Factor found in step 2: 6884759508010970379573796568033079822311
Found prime factor of 40 digits: 6884759508010970379573796568033079822311
Prime cofactor 1552537879751678630423008737452520944531 has 40 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)

43×10158-529

c125

name 名前Eric Jeancolas
date 日付July 6, 2022 21:33:15 UTC 2022 年 7 月 7 日 (木) 6 時 33 分 15 秒 (日本時間)
composite number 合成数
16283462164565069825706494712933441205271266290180896794419033476412320502645479682054853676675800941341684816332926438144323<125>
prime factors 素因数
4701805939952125752283307812675277864803<40>
3463235695501901048109663896190176439371636215705494606745486122007859171230300615841<85>
factorization results 素因数分解の結果
16283462164565069825706494712933441205271266290180896794419033476412320502645479682054853676675800941341684816332926438144323=4701805939952125752283307812675277864803*3463235695501901048109663896190176439371636215705494606745486122007859171230300615841

cado polynomial
n: 16283462164565069825706494712933441205271266290180896794419033476412320502645479682054853676675800941341684816332926438144323
skew: 0.26
type: snfs
c0: -13
c5: 10750
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 10750*x^5-13
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3100000
tasks.lim1 = 3100000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3463235695501901048109663896190176439371636215705494606745486122007859171230300615841 4701805939952125752283307812675277864803
Info:Square Root: Total cpu/real time for sqrt: 76.25/24.0091
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11676669
Info:Lattice Sieving: Average J: 1894.64 for 316972 special-q, max bucket fill -bkmult 1.0,1s:1.229540
Info:Lattice Sieving: Total time: 36414.2s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.94/17.336
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.83/48.7697
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 101.12/87.1872
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 78.2s
Info:Filtering - Merging: Merged matrix has 373529 rows and total weight 63767247 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 76.77/21.4103
Info:Filtering - Merging: Total cpu/real time for replay: 11.62/9.70117
Info:Linear Algebra: Total cpu/real time for bwc: 2043.96/526.45
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1265.01, WCT time 322.99, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11776 iterations)
Info:Linear Algebra: Lingen CPU time 57.16, WCT time 14.57
Info:Linear Algebra: Mksol: CPU time 688.03,  WCT time 175.48, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5888 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.35/0.740567
Info:Quadratic Characters: Total cpu/real time for characters: 11.54/4.52435
Info:Square Root: Total cpu/real time for sqrt: 76.25/24.0091
Info:Filtering - Singleton removal: Total cpu/real time for purge: 82.2/74.414
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 69185.5/19113.3
Info:root: Cleaning up computation data in /tmp/cado.mzx454i1
3463235695501901048109663896190176439371636215705494606745486122007859171230300615841 4701805939952125752283307812675277864803
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)

43×10161-529

c134

name 名前Eric Jeancolas
date 日付July 8, 2022 01:51:14 UTC 2022 年 7 月 8 日 (金) 10 時 51 分 14 秒 (日本時間)
composite number 合成数
98551911907333088645565479978190905635462576988854340156817347449016352778323066426444261220147200328502310572138703180230098277235599<134>
prime factors 素因数
4999961280309239046091375325581236056655457<43>
19710535018630748596207820733628965338164802999542844277201706677185683746238110806198708207<92>
factorization results 素因数分解の結果
98551911907333088645565479978190905635462576988854340156817347449016352778323066426444261220147200328502310572138703180230098277235599=4999961280309239046091375325581236056655457*19710535018630748596207820733628965338164802999542844277201706677185683746238110806198708207

cado polynomial
n: 98551911907333088645565479978190905635462576988854340156817347449016352778323066426444261220147200328502310572138703180230098277235599
skew: 0.66
type: snfs
c0: -26
c5: 215
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 215*x^5-26
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3600000
tasks.lim1 = 3600000
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: 19710535018630748596207820733628965338164802999542844277201706677185683746238110806198708207 4999961280309239046091375325581236056655457
Info:Square Root: Total cpu/real time for sqrt: 93.93/30.0039
Info:Filtering - Singleton removal: Total cpu/real time for purge: 68.16/64.5899
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11629438
Info:Lattice Sieving: Average J: 1893.81 for 308409 special-q, max bucket fill -bkmult 1.0,1s:1.240260
Info:Lattice Sieving: Total time: 36961.2s
Info:Linear Algebra: Total cpu/real time for bwc: 3167.97/815.63
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1973.83, WCT time 503.7, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14848 iterations)
Info:Linear Algebra: Lingen CPU time 74.25, WCT time 18.93
Info:Linear Algebra: Mksol: CPU time 1076.78,  WCT time 274.82, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7424 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.88/48.9081
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.12/85.4864
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.1s
Info:Filtering - Merging: Merged matrix has 471062 rows and total weight 80134396 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 96.24/27.0108
Info:Filtering - Merging: Total cpu/real time for replay: 15.52/12.9262
Info:Generate Factor Base: Total cpu/real time for makefb: 1.56/0.854093
Info:Quadratic Characters: Total cpu/real time for characters: 15.26/6.03424
Info:Square Root: Total cpu/real time for sqrt: 93.93/30.0039
Info:Generate Free Relations: Total cpu/real time for freerel: 60.22/16.895
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 71643.1/19792.4
Info:root: Cleaning up computation data in /tmp/cado.6heinx9b
19710535018630748596207820733628965338164802999542844277201706677185683746238110806198708207 4999961280309239046091375325581236056655457
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)

43×10162-529

c140

name 名前Bob Backstrom
date 日付July 2, 2022 17:25:36 UTC 2022 年 7 月 3 日 (日) 2 時 25 分 36 秒 (日本時間)
composite number 合成数
87292365498818608698325112505683420964509595475086281276014517009839400196936123732912739395105429846294816343226590231819262255152972557079<140>
prime factors 素因数
15755527416341572847095452289198719118464252096222819020340997<62>
5540428015648609812738788595505797029113775050294357338961926479325368645043307<79>
factorization results 素因数分解の結果
Number: n
N=87292365498818608698325112505683420964509595475086281276014517009839400196936123732912739395105429846294816343226590231819262255152972557079  ( 140 digits)
SNFS difficulty: 163 digits.
Divisors found:

Sun Jul  3 03:21:17 2022  p62 factor: 15755527416341572847095452289198719118464252096222819020340997
Sun Jul  3 03:21:17 2022  p79 factor: 5540428015648609812738788595505797029113775050294357338961926479325368645043307
Sun Jul  3 03:21:17 2022  elapsed time 00:08:05 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 43x10^162-52 = 47(161)2
#
n: 87292365498818608698325112505683420964509595475086281276014517009839400196936123732912739395105429846294816343226590231819262255152972557079
m: 100000000000000000000000000000000
deg: 5
c5: 1075
c0: -13
skew: 0.41
# Murphy_E = 3.973e-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, 14600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1328459 hash collisions in 13514974 relations (13034299 unique)
Msieve: matrix is 524426 x 524651 (179.7 MB)

Sieving start time : 2022/07/03 02:19:35
Sieving end time  : 2022/07/03 03:12:56

Total sieving time: 0hrs 53min 21secs.

Total relation processing time: 0hrs 3min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 1sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
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)

43×10164-529

c143

name 名前Bob Backstrom
date 日付July 2, 2022 16:21:48 UTC 2022 年 7 月 3 日 (日) 1 時 21 分 48 秒 (日本時間)
composite number 合成数
19750977534048943457528166844742908145188621017831667310250445569757068757054669470993285890079295943394547607721271357270040768242265368559893<143>
prime factors 素因数
402810982938564815781109788977046788887847<42>
1026854251240780840833980792822352942798825929<46>
47750561865321608580154910601188947191120565400228772811<56>
factorization results 素因数分解の結果
Number: n
N=19750977534048943457528166844742908145188621017831667310250445569757068757054669470993285890079295943394547607721271357270040768242265368559893  ( 143 digits)
SNFS difficulty: 165 digits.
Divisors found:

Sun Jul  3 02:16:38 2022  found factor: 47750561865321608580154910601188947191120565400228772811
Sun Jul  3 02:17:50 2022  p42 factor: 402810982938564815781109788977046788887847
Sun Jul  3 02:17:50 2022  p46 factor: 1026854251240780840833980792822352942798825929
Sun Jul  3 02:17:50 2022  p56 factor: 47750561865321608580154910601188947191120565400228772811
Sun Jul  3 02:17:50 2022  elapsed time 00:10:04 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.337).
Factorization parameters were as follows:
#
# N = 43x10^164-52 = 47(163)2
#
n: 19750977534048943457528166844742908145188621017831667310250445569757068757054669470993285890079295943394547607721271357270040768242265368559893
m: 500000000000000000000000000000000
deg: 5
c5: 172
c0: -65
skew: 0.82
# Murphy_E = 3.158e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1080119 hash collisions in 11865090 relations (11530056 unique)
Msieve: matrix is 600141 x 600367 (206.5 MB)

Sieving start time : 2022/07/03 00:57:18
Sieving end time  : 2022/07/03 02:07:17

Total sieving time: 1hrs 9min 59secs.

Total relation processing time: 0hrs 5min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 49sec.

Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
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)

43×10165-529

c166

name 名前Bob Backstrom
date 日付July 1, 2022 21:42:33 UTC 2022 年 7 月 2 日 (土) 6 時 42 分 33 秒 (日本時間)
composite number 合成数
1194444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<166>
prime factors 素因数
74049785674714987227776621028145136456910350490602695497492026216794064179<74>
16130289015168601739959350193617484007352518426037278174479748668877076595972231766034474617<92>
factorization results 素因数分解の結果
Number: n
N=1194444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443  ( 166 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sat Jul  2 07:18:37 2022  p74 factor: 74049785674714987227776621028145136456910350490602695497492026216794064179
Sat Jul  2 07:18:37 2022  p92 factor: 16130289015168601739959350193617484007352518426037278174479748668877076595972231766034474617
Sat Jul  2 07:18:37 2022  elapsed time 00:09:08 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 43x10^165-52 = 47(164)2
#
n: 1194444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
m: 1000000000000000000000000000000000
deg: 5
c5: 43
c0: -52
skew: 1.04
# Murphy_E = 3.188e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1322219 hash collisions in 13209729 relations (12704789 unique)
Msieve: matrix is 596047 x 596273 (204.6 MB)

Sieving start time : 2022/07/02 06:03:13
Sieving end time  : 2022/07/02 07:09:13

Total sieving time: 1hrs 6min 0secs.

Total relation processing time: 0hrs 5min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 31sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    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)

43×10166-529

c136

name 名前Eric Jeancolas
date 日付July 8, 2022 09:55:32 UTC 2022 年 7 月 8 日 (金) 18 時 55 分 32 秒 (日本時間)
composite number 合成数
1474231528271112862592857455203731605727093469350788304483445849000148060113034467337206968688837795426144459046269756778153678561053771<136>
prime factors 素因数
159354851597278961221781192835656539518101201609713024766039<60>
9251249732871552383052687240880710646473138840477844544558125878764484991789<76>
factorization results 素因数分解の結果
1474231528271112862592857455203731605727093469350788304483445849000148060113034467337206968688837795426144459046269756778153678561053771=159354851597278961221781192835656539518101201609713024766039*9251249732871552383052687240880710646473138840477844544558125878764484991789

cado polynomial
n: 1474231528271112862592857455203731605727093469350788304483445849000148060113034467337206968688837795426144459046269756778153678561053771
skew: 0.66
type: snfs
c0: -26
c5: 215
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 215*x^5-26
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4300000
tasks.lim1 = 4300000
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: 9251249732871552383052687240880710646473138840477844544558125878764484991789 159354851597278961221781192835656539518101201609713024766039
Info:Square Root: Total cpu/real time for sqrt: 239.83/73.5153
Info:Filtering - Singleton removal: Total cpu/real time for purge: 59.74/61.0967
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11628783
Info:Lattice Sieving: Average J: 1893.58 for 448152 special-q, max bucket fill -bkmult 1.0,1s:1.241000
Info:Lattice Sieving: Total time: 69626.2s
Info:Linear Algebra: Total cpu/real time for bwc: 5609.68/1442.65
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3496.35, WCT time 893.73, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (19200 iterations)
Info:Linear Algebra: Lingen CPU time 102.41, WCT time 25.99
Info:Linear Algebra: Mksol: CPU time 1917.85,  WCT time 489.4, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9728 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.61/17.5414
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.46/51.8737
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 103.69/88.3816
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 78.9s
Info:Filtering - Merging: Merged matrix has 613493 rows and total weight 104440692 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 132.21/36.9477
Info:Filtering - Merging: Total cpu/real time for replay: 20.66/17.1856
Info:Generate Factor Base: Total cpu/real time for makefb: 1.85/1.09491
Info:Quadratic Characters: Total cpu/real time for characters: 20.03/7.92973
Info:Square Root: Total cpu/real time for sqrt: 239.83/73.5153
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 137062/25417.8
Info:root: Cleaning up computation data in /tmp/cado.g0cmj4xs
9251249732871552383052687240880710646473138840477844544558125878764484991789 159354851597278961221781192835656539518101201609713024766039
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)

43×10167-529

c154

name 名前Bob Backstrom
date 日付July 2, 2022 09:09:06 UTC 2022 年 7 月 2 日 (土) 18 時 9 分 6 秒 (日本時間)
composite number 合成数
2513865233822606050226864570678117742293881485832693473555973818889154393903541034230806234296499940849831412723165459530129242812631990492217187780077481<154>
prime factors 素因数
3070644072482309101881576562861606140530764969070002205670385725246881<70>
818676855566134384359063912142132781049856808420614734374621577400416320143641742601<84>
factorization results 素因数分解の結果
Number: n
N=2513865233822606050226864570678117742293881485832693473555973818889154393903541034230806234296499940849831412723165459530129242812631990492217187780077481  ( 154 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sat Jul  2 19:03:22 2022  p70 factor: 3070644072482309101881576562861606140530764969070002205670385725246881
Sat Jul  2 19:03:22 2022  p84 factor: 818676855566134384359063912142132781049856808420614734374621577400416320143641742601
Sat Jul  2 19:03:22 2022  elapsed time 00:10:56 (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 = 43x10^167-52 = 47(166)2
#
n: 2513865233822606050226864570678117742293881485832693473555973818889154393903541034230806234296499940849831412723165459530129242812631990492217187780077481
m: 1000000000000000000000000000000000
deg: 5
c5: 1075
c0: -13
skew: 0.41
# Murphy_E = 2.531e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1291552 hash collisions in 13157623 relations (12688072 unique)
Msieve: matrix is 687174 x 687399 (237.2 MB)

Sieving start time : 2022/07/02 17:44:44
Sieving end time  : 2022/07/02 18:52:11

Total sieving time: 1hrs 7min 27secs.

Total relation processing time: 0hrs 6min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 49sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,52,52,2.4,2.4,100000
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)

43×10168-529

c167

name 名前Bob Backstrom
date 日付July 3, 2022 11:19:52 UTC 2022 年 7 月 3 日 (日) 20 時 19 分 52 秒 (日本時間)
composite number 合成数
22536687631027253668763102725366876310272536687631027253668763102725366876310272536687631027253668763102725366876310272536687631027253668763102725366876310272536687631<167>
prime factors 素因数
49973278137245711730801148083990006540916123249738438690081629433<65>
450974770338917938122124376482706602946408020661700413782624582165223815466939340469028182819696315207<102>
factorization results 素因数分解の結果
Number: n
N=22536687631027253668763102725366876310272536687631027253668763102725366876310272536687631027253668763102725366876310272536687631027253668763102725366876310272536687631  ( 167 digits)
SNFS difficulty: 169 digits.
Divisors found:

Sun Jul  3 21:03:50 2022  p65 factor: 49973278137245711730801148083990006540916123249738438690081629433
Sun Jul  3 21:03:50 2022  p102 factor: 450974770338917938122124376482706602946408020661700413782624582165223815466939340469028182819696315207
Sun Jul  3 21:03:50 2022  elapsed time 00:12:44 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.337).
Factorization parameters were as follows:
#
# N = 43x10^168-52 = 47(167)2
#
n: 22536687631027253668763102725366876310272536687631027253668763102725366876310272536687631027253668763102725366876310272536687631027253668763102725366876310272536687631
m: 1000000000000000000000000000000000
deg: 5
c5: 10750
c0: -13
skew: 0.26
# Murphy_E = 2.065e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1306846 hash collisions in 13042213 relations (12540747 unique)
Msieve: matrix is 750541 x 750767 (260.3 MB)

Sieving start time : 2022/07/03 20:10:19
Sieving end time  : 2022/07/03 20:50:39

Total sieving time: 0hrs 40min 20secs.

Total relation processing time: 0hrs 8min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 58sec.

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
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)

43×10169-529

c142

name 名前Bob Backstrom
date 日付July 3, 2022 03:55:33 UTC 2022 年 7 月 3 日 (日) 12 時 55 分 33 秒 (日本時間)
composite number 合成数
5257758949106250630970546882991760534592391126858300340756359367531447598614847820452962414268512893216150471121534967300916027256204603397043<142>
prime factors 素因数
16033248826719942307143168535344543353<38>
16203855580916358326143431796373820297371<41>
20237682343683170900125683074048713491832527294520154546633406161<65>
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 5257758949106250630970546882991760534592391126858300340756359367531447598614847820452962414268512893216150471121534967300916027256204603397043 (142 digits)
Using B1=16720000, B2=58559116990, polynomial Dickson(12), sigma=1:2219703878
Step 1 took 32696ms
Step 2 took 14171ms
********** Factor found in step 2: 16033248826719942307143168535344543353
Found prime factor of 38 digits: 16033248826719942307143168535344543353
Composite cofactor 327928481989502995259575166674144106326789037482972783612522248641469367243161239956645072734027643502731 has 105 digits


GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 327928481989502995259575166674144106326789037482972783612522248641469367243161239956645072734027643502731 (105 digits)
Using B1=24920000, B2=96190324246, polynomial Dickson(12), sigma=1:3761352801
Step 1 took 31395ms
Step 2 took 12708ms
********** Factor found in step 2: 16203855580916358326143431796373820297371
Found prime factor of 41 digits: 16203855580916358326143431796373820297371
Prime cofactor 20237682343683170900125683074048713491832527294520154546633406161 has 65 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)

43×10170-529

c155

name 名前Bob Backstrom
date 日付July 7, 2022 12:57:39 UTC 2022 年 7 月 7 日 (木) 21 時 57 分 39 秒 (日本時間)
composite number 合成数
45082262350402746476112133607206642310763465157471127887614939802292254511575744322841734322099853064523722760828363123145088089118579151517370916904346849<155>
prime factors 素因数
42143908135532409605502798213831614252550285511248981202367431<62>
1069721920554229498023087426894934111604398552446778950492784222483392926592268550798509625879<94>
factorization results 素因数分解の結果
Number: n
N=45082262350402746476112133607206642310763465157471127887614939802292254511575744322841734322099853064523722760828363123145088089118579151517370916904346849  ( 155 digits)
SNFS difficulty: 171 digits.
Divisors found:

Thu Jul  7 22:53:53 2022  p62 factor: 42143908135532409605502798213831614252550285511248981202367431
Thu Jul  7 22:53:53 2022  p94 factor: 1069721920554229498023087426894934111604398552446778950492784222483392926592268550798509625879
Thu Jul  7 22:53:53 2022  elapsed time 00:15:20 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 43x10^170-52 = 47(169)2
#
n: 45082262350402746476112133607206642310763465157471127887614939802292254511575744322841734322099853064523722760828363123145088089118579151517370916904346849
m: 10000000000000000000000000000000000
deg: 5
c5: 43
c0: -52
skew: 1.04
# Murphy_E = 2.023e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1145734 hash collisions in 12120901 relations (11730296 unique)
Msieve: matrix is 787153 x 787379 (274.0 MB)

Sieving start time : 2022/07/07 21:30:31
Sieving end time  : 2022/07/07 22:38:18

Total sieving time: 1hrs 7min 47secs.

Total relation processing time: 0hrs 8min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 24sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
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)

43×10173-529

c172

name 名前Bob Backstrom
date 日付July 6, 2022 18:20:12 UTC 2022 年 7 月 7 日 (木) 3 時 20 分 12 秒 (日本時間)
composite number 合成数
5193236714975845410628019323671497584541062801932367149758454106280193236714975845410628019323671497584541062801932367149758454106280193236714975845410628019323671497584541<172>
prime factors 素因数
680969134679228287835245989744125071793<39>
7626243908135614290986485481486143115777367769047154593034617932318921872022238358499552938830028387083405413526299587847267339627437<133>
factorization results 素因数分解の結果
Number: n
N=5193236714975845410628019323671497584541062801932367149758454106280193236714975845410628019323671497584541062801932367149758454106280193236714975845410628019323671497584541  ( 172 digits)
SNFS difficulty: 174 digits.
Divisors found:

Thu Jul  7 04:15:41 2022  p39 factor: 680969134679228287835245989744125071793
Thu Jul  7 04:15:41 2022  p133 factor: 7626243908135614290986485481486143115777367769047154593034617932318921872022238358499552938830028387083405413526299587847267339627437
Thu Jul  7 04:15:41 2022  elapsed time 00:21:37 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 43x10^173-52 = 47(172)2
#
n: 5193236714975845410628019323671497584541062801932367149758454106280193236714975845410628019323671497584541062801932367149758454106280193236714975845410628019323671497584541
m: 10000000000000000000000000000000000
deg: 5
c5: 10750
c0: -13
skew: 0.26
# Murphy_E = 1.309e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1260730 hash collisions in 11840331 relations (11282095 unique)
Msieve: matrix is 991920 x 992145 (345.8 MB)

Sieving start time : 2022/07/07 02:14:23
Sieving end time  : 2022/07/07 03:53:49

Total sieving time: 1hrs 39min 26secs.

Total relation processing time: 0hrs 15min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 45sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
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)

43×10179-529

c143

name 名前Bob Backstrom
date 日付July 15, 2022 12:30:04 UTC 2022 年 7 月 15 日 (金) 21 時 30 分 4 秒 (日本時間)
composite number 合成数
14401101545278347114419026216032295315706074142382667670393882002724433370427416324520510742354799755314707057151189010112666345122267253645447<143>
prime factors 素因数
135607225686909344581601369427463002765232227705284175249391213<63>
106197154851672018794176872153646653244070992719866113506317109156769878177034819<81>
factorization results 素因数分解の結果
Number: n
N=14401101545278347114419026216032295315706074142382667670393882002724433370427416324520510742354799755314707057151189010112666345122267253645447  ( 143 digits)
SNFS difficulty: 180 digits.
Divisors found:

Fri Jul 15 22:24:27 2022  p63 factor: 135607225686909344581601369427463002765232227705284175249391213
Fri Jul 15 22:24:27 2022  p81 factor: 106197154851672018794176872153646653244070992719866113506317109156769878177034819
Fri Jul 15 22:24:27 2022  elapsed time 00:31:59 (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 = 43x10^179-52 = 47(178)2
#
n: 14401101545278347114419026216032295315706074142382667670393882002724433370427416324520510742354799755314707057151189010112666345122267253645447
m: 500000000000000000000000000000000000
deg: 5
c5: 172
c0: -65
skew: 0.82
# Murphy_E = 7.987e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 990795 hash collisions in 11635073 relations (11394089 unique)
Msieve: matrix is 1243079 x 1243308 (436.1 MB)

Sieving start time : 2022/07/15 19:59:41
Sieving end time  : 2022/07/15 21:52:12

Total sieving time: 1hrs 52min 31secs.

Total relation processing time: 0hrs 26min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 50sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7200000,7200000,27,27,53,53,2.5,2.5,100000
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)
403e62350Ignacio SantosJuly 12, 2022 11:59:40 UTC 2022 年 7 月 12 日 (火) 20 時 59 分 40 秒 (日本時間)

43×10181-529

c153

name 名前Bob Backstrom
date 日付July 9, 2022 16:47:32 UTC 2022 年 7 月 10 日 (日) 1 時 47 分 32 秒 (日本時間)
composite number 合成数
245784388957751899009326884332167210806879548424643243031349074900819265008169849532049248647639014585494037690454617263625695470878482202911479274612403<153>
prime factors 素因数
1163244603925406914822039029217457986723<40>
211292094653475674513632549074609095067217835683249740160765157196488147503941825694112670190673784667306246250161<114>
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 245784388957751899009326884332167210806879548424643243031349074900819265008169849532049248647639014585494037690454617263625695470878482202911479274612403 (153 digits)
Using B1=16790000, B2=58559116990, polynomial Dickson(12), sigma=1:129871428
Step 1 took 32433ms
Step 2 took 14773ms
********** Factor found in step 2: 1163244603925406914822039029217457986723
Found prime factor of 40 digits: 1163244603925406914822039029217457986723
Prime cofactor 211292094653475674513632549074609095067217835683249740160765157196488147503941825694112670190673784667306246250161 has 114 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)

43×10182-529

c180

name 名前Bob Backstrom
date 日付July 7, 2022 09:10:25 UTC 2022 年 7 月 7 日 (木) 18 時 10 分 25 秒 (日本時間)
composite number 合成数
255769688317868189388532000951701165833928146561979538424934570544848917439923863906733285748275041636926005234356412086604806090887461337140137996669045919581251487033071615512729<180>
prime factors 素因数
484217647017324010865279089283059598136121826933<48>
528212240700755449318555504769610504720540880093393295036390762860113537392908882333791792970297749235066820017929681097984338472213<132>
factorization results 素因数分解の結果
Number: n
N=255769688317868189388532000951701165833928146561979538424934570544848917439923863906733285748275041636926005234356412086604806090887461337140137996669045919581251487033071615512729  ( 180 digits)
SNFS difficulty: 183 digits.
Divisors found:

Thu Jul  7 18:48:39 2022  p48 factor: 484217647017324010865279089283059598136121826933
Thu Jul  7 18:48:39 2022  p132 factor: 528212240700755449318555504769610504720540880093393295036390762860113537392908882333791792970297749235066820017929681097984338472213
Thu Jul  7 18:48:39 2022  elapsed time 00:23:03 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 43x10^182-52 = 47(181)2
#
n: 255769688317868189388532000951701165833928146561979538424934570544848917439923863906733285748275041636926005234356412086604806090887461337140137996669045919581251487033071615512729
m: 1000000000000000000000000000000000000
deg: 5
c5: 1075
c0: -13
skew: 0.41
# Murphy_E = 6.36e-11
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3341846 hash collisions in 28785241 relations (27115050 unique)
Msieve: matrix is 947026 x 947253 (325.4 MB)

Sieving start time : 2022/07/07 15:15:55
Sieving end time  : 2022/07/07 18:25:06

Total sieving time: 3hrs 9min 11secs.

Total relation processing time: 0hrs 13min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 7sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,100000
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)

43×10184-529

c154

composite cofactor 合成数の残り
2773759036282462993858815474179113640976092483070460377924221789345003229359771404097907779668650012064902214341207636650057346234431964183853559435336261<154>

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 10:47:34 UTC 2022 年 7 月 10 日 (日) 19 時 47 分 34 秒 (日本時間)

43×10189-529

c158

composite cofactor 合成数の残り
21762151096389897082058445803320718313269829557940249423769425616858192148671933326070477148811432867313824695118959565357891835325933237474616426561670675849<158>

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 22:14:30 UTC 2022 年 7 月 10 日 (日) 7 時 14 分 30 秒 (日本時間)

43×10191-529

c180

name 名前Bob Backstrom
date 日付July 12, 2022 15:24:29 UTC 2022 年 7 月 13 日 (水) 0 時 24 分 29 秒 (日本時間)
composite number 合成数
299323591783240778189251976645529638616934197323608259855103264209171375604225363021969373546795202015313514762473784546371952255382512204853371969692129743968323865892200500415567<180>
prime factors 素因数
31310782387087794950709773605183204531877843004842364847<56>
6254266992646229055800112659704132289471853287724126102076861<61>
1528518188557214599188069954867253773375472412914905284883510901<64>
factorization results 素因数分解の結果
Number: n
N=299323591783240778189251976645529638616934197323608259855103264209171375604225363021969373546795202015313514762473784546371952255382512204853371969692129743968323865892200500415567  ( 180 digits)
SNFS difficulty: 192 digits.
Divisors found:

Wed Jul 13 00:44:01 2022  found factor: 31310782387087794950709773605183204531877843004842364847
Wed Jul 13 00:47:58 2022  found factor: 31310782387087794950709773605183204531877843004842364847
Wed Jul 13 00:49:56 2022  p56 factor: 31310782387087794950709773605183204531877843004842364847
Wed Jul 13 00:49:56 2022  p61 factor: 6254266992646229055800112659704132289471853287724126102076861
Wed Jul 13 00:49:56 2022  p64 factor: 1528518188557214599188069954867253773375472412914905284883510901
Wed Jul 13 00:49:56 2022  elapsed time 00:58:30 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 43x10^191-52 = 47(190)2
#
n: 299323591783240778189251976645529638616934197323608259855103264209171375604225363021969373546795202015313514762473784546371952255382512204853371969692129743968323865892200500415567
m: 100000000000000000000000000000000000000
deg: 5
c5: 215
c0: -26
skew: 0.66
# Murphy_E = 2.505e-11
type: snfs
lss: 1
rlim: 11200000
alim: 11200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11200000/11200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 32800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3296190 hash collisions in 29257967 relations (26963230 unique)
Msieve: matrix is 1511274 x 1511499 (525.1 MB)

Sieving start time : 2022/07/12 12:54:34
Sieving end time  : 2022/07/12 23:02:01

Total sieving time: 10hrs 7min 27secs.

Total relation processing time: 0hrs 42min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 55sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11200000,11200000,28,28,55,55,2.5,2.5,100000
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)

43×10192-529

c150

composite cofactor 合成数の残り
655957653824536232851700107338262717195933595770466134078583185345422463819467249194618433495946620478824801661732821797651709053427666184897351709747<150>

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 12, 2022 13:53:44 UTC 2022 年 7 月 12 日 (火) 22 時 53 分 44 秒 (日本時間)

43×10193-529

c142

composite cofactor 合成数の残り
2413789072234101520353127161058992391624373862448114197104706987799122574586876078947353520518504246573680583707699140883090782792199194572539<142>

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 13:24:58 UTC 2022 年 7 月 18 日 (月) 22 時 24 分 58 秒 (日本時間)

43×10195-529

c147

composite cofactor 合成数の残り
241738051394216892557185871691952708652443913770381987716448793147435571576281612244583222894942269695135552851008473006093270835425355710778032179<147>

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 26, 2022 09:40:41 UTC 2022 年 7 月 26 日 (火) 18 時 40 分 41 秒 (日本時間)

43×10197-529

c195

composite cofactor 合成数の残り
475874280655157149181053563523683045595396193005754758742806551571491810535635236830455953961930057547587428065515714918105356352368304559539619300575475874280655157149181053563523683045595396193<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)

43×10199-529

c180

composite cofactor 合成数の残り
168752710024405809427052149133706171348997427551635107061412275309767831029702713325036574167380058246913372463029490270293104824089384263105859984010357188051189197443043465571903<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)

43×10200-529

c185

composite cofactor 合成数の残り
26269587049713495957705819835903781542710368393263329768504055745738490192262927182398805149768818810849027858334608005772639430997835181587896154176408300719065242368613864441074060801<185>

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)

43×10201-529

c144

composite cofactor 合成数の残り
119335976412976977977341624231332533623247961142910932895959946359800562333981435802700232924259182436432905496386795587239501326608549101626601<144>

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)

43×10203-529

c188

composite cofactor 合成数の残り
35276384089914792749919594570273302088959249980805145682327378746859198862060055826360487570831953383936985178033065514192164703105041317374693462585409509710911336801285274752318275081621<188>

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)

43×10204-529

c205

name 名前ebina
date 日付July 13, 2022 04:23:16 UTC 2022 年 7 月 13 日 (水) 13 時 23 分 16 秒 (日本時間)
composite number 合成数
1194444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<205>
prime factors 素因数
10038068595608922564699273281088472543961<41>
118991460664748312475459150663102855655155288740984988482335889073713159892314002631071146339423050091129111360018641589764499253046723807184678577716347429745010963<165>
factorization results 素因数分解の結果
Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:355972775 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 1194444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443 (205 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:355972775
Step 1 took 9890ms
Step 2 took 3266ms
********** Factor found in step 2: 10038068595608922564699273281088472543961
Found probable prime factor of 41 digits: 10038068595608922564699273281088472543961
Probable prime cofactor 118991460664748312475459150663102855655155288740984988482335889073713159892314002631071146339423050091129111360018641589764499253046723807184678577716347429745010963 has 165 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)

43×10205-529

c181

composite cofactor 合成数の残り
2252668119309398724040360672485847568232883655544576710373422654869574459564831846140448191198259052286840007962319453491450782748744839199220597854487102578502749482196672293808549<181>

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)

43×10206-529

c169

composite cofactor 合成数の残り
4783766380010470237072671432665946486571768152994267154510193950962419117279793331192831161452458766379565437541631983796554293816012374974960351885724562320920301576161<169>

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)

43×10207-529

c176

composite cofactor 合成数の残り
12321656833411027136987759718654140981191155269803071019046334983291805288473848966555880976224151639547948754731197681897819585410527410269418982173171656776345768188261864913<176>

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)

43×10209-529

c197

composite cofactor 合成数の残り
13241778039369740718829113964475257258734972990059102463336308150371793382038410598062066045514474145550235506763015105968209253733357734119628464920379291008614594962885856645651874303899099089857<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)

43×10212-529

c213

composite cofactor 合成数の残り
119444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<213>

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)

43×10213-529

c125

name 名前Ignacio Santos
date 日付July 2, 2022 11:49:38 UTC 2022 年 7 月 2 日 (土) 20 時 49 分 38 秒 (日本時間)
composite number 合成数
36156692987927314868102613140113854359570527944106795555826286605605651072845067424321700587082335856382736525579515930444373<125>
prime factors 素因数
345746033853663693016008108425117850871<39>
composite cofactor 合成数の残り
104575872020647854428417784849223548280786664457472712489140439530743315349654444524563<87>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:92401273
Step 1 took 2469ms
********** Factor found in step 2: 345746033853663693016008108425117850871
Found prime factor of 39 digits: 345746033853663693016008108425117850871
Composite cofactor 104575872020647854428417784849223548280786664457472712489140439530743315349654444524563 has 87 digits
software ソフトウェア
GMP-ECM

c87

name 名前Ignacio Santos
date 日付July 2, 2022 18:29:09 UTC 2022 年 7 月 3 日 (日) 3 時 29 分 9 秒 (日本時間)
composite number 合成数
104575872020647854428417784849223548280786664457472712489140439530743315349654444524563<87>
prime factors 素因数
27737820048330874705349258825390861776819<41>
3770154678285207022485152048575835920854700577<46>
factorization results 素因数分解の結果
1045758 72020647854428417784849223548280786664457472712489140439530743315349654444524563 (87 dígitos) = 27737820048330874705349258825390861776819 (41 dígitos) × 377015 4678285207022485152048575835920854700577 (46 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)

43×10216-529

c123

name 名前Eric Jeancolas
date 日付July 6, 2022 10:48:29 UTC 2022 年 7 月 6 日 (水) 19 時 48 分 29 秒 (日本時間)
composite number 合成数
100924060979583417689395533955116356526054323119194379740022003739653793721309189956727051324547686012896443208642783677529<123>
prime factors 素因数
55239161882799861671360214186015670126096652454251<50>
1827038237721863917524893766946125426163192028924676304353228160103816779<73>
factorization results 素因数分解の結果
100924060979583417689395533955116356526054323119194379740022003739653793721309189956727051324547686012896443208642783677529=55239161882799861671360214186015670126096652454251*1827038237721863917524893766946125426163192028924676304353228160103816779

cado polynomial
n: 100924060979583417689395533955116356526054323119194379740022003739653793721309189956727051324547686012896443208642783677529
skew: 29317.37
c0: 4085073726986557178922649680
c1: -1244995824625479945366570
c2: -24831623108029791193
c3: 196971447331559
c4: -13321425658
c5: 551040
Y0: -205715970467812340030803
Y1: 48980628231092759
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.360e-07
# f(x) = 551040*x^5-13321425658*x^4+196971447331559*x^3-24831623108029791193*x^2-1244995824625479945366570*x+4085073726986557178922649680
# g(x) = 48980628231092759*x-205715970467812340030803

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 = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 55239161882799861671360214186015670126096652454251 1827038237721863917524893766946125426163192028924676304353228160103816779
Info:Square Root: Total cpu/real time for sqrt: 429.14/126.454
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 125.12/109.3
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 97.2s
Info:Generate Free Relations: Total cpu/real time for freerel: 128.37/83.8238
Info:Square Root: Total cpu/real time for sqrt: 429.14/126.454
Info:Filtering - Singleton removal: Total cpu/real time for purge: 62.8/66.0797
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11634297
Info:Lattice Sieving: Average J: 3782.58 for 145478 special-q, max bucket fill -bkmult 1.0,1s:1.134100
Info:Lattice Sieving: Total time: 48152.5s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.29/6.56729
Info:Linear Algebra: Total cpu/real time for bwc: 6278.18/1617.18
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3918.74, WCT time 1003.94, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (20736 iterations)
Info:Linear Algebra: Lingen CPU time 113.17, WCT time 28.75
Info:Linear Algebra: Mksol: CPU time 2148.81,  WCT time 549.51, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10240 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.93/57.8897
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2648.35
Info:Polynomial Selection (root optimized): Rootsieve time: 2645.74
Info:Filtering - Merging: Merged matrix has 655446 rows and total weight 111985045 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 131.86/38.1812
Info:Filtering - Merging: Total cpu/real time for replay: 23.49/19.447
Info:Quadratic Characters: Total cpu/real time for characters: 24.05/9.48199
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): 20153/36.470/43.423/47.910/0.897
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15665/33.520/38.821/44.160/0.882
Info:Polynomial Selection (size optimized): Total time: 2027.07
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 94527.9/28809.2
Info:root: Cleaning up computation data in /tmp/cado.fux5gr49
55239161882799861671360214186015670126096652454251 1827038237721863917524893766946125426163192028924676304353228160103816779
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 11:22:21 UTC 2022 年 7 月 2 日 (土) 20 時 22 分 21 秒 (日本時間)
4511e64480Ignacio SantosJuly 3, 2022 21:13:56 UTC 2022 年 7 月 4 日 (月) 6 時 13 分 56 秒 (日本時間)

43×10217-529

c195

composite cofactor 合成数の残り
447723871929601842146089109426952875650994731504173171998329941691903032478377352835924069151754617505947989037674560270083757293957727407228786857639771771701012806285085188637165500734396201201<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)

43×10220-529

c185

composite cofactor 合成数の残り
30404314906803418543123498012110459987915125486094877593614371948482812854615635307317107747076707320033636295544982277654479652389412543166746043441936978845979675607325908794617982521<185>

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)

43×10221-529

c162

composite cofactor 合成数の残り
799683246481724175909792536254000403082348485075503902683784621833316001554754721552989051364062705385722470227421308792048090734284315514338915327060463184435137<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)

43×10224-529

c180

composite cofactor 合成数の残り
224333394933034762486278478588450624247626661994478333759378886307439931506266658294971594050155494323886354949116938851777404122262519324417622337071377044705199833248982319548039<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)

43×10227-529

c172

composite cofactor 合成数の残り
1291305466785302852328593060518896970288765646747037099867019740164977857748215323416777112538818780370481265732948296616441264418287364246740216919666854468270409230402441<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)

43×10228-529

c202

composite cofactor 合成数の残り
2870287701379176834918750909161175013219125758996958555297180766017667232168456777236496435386003875641190358901360935495203045219190266383387652685673196393214324187689461120190688280537001384067812691<202>

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)

43×10229-529

c215

composite cofactor 合成数の残り
45833814671617483705789150682624277198217938837175851069610739720935056498560346989459941862148550359520885461063952432045719022149590805310902124144317117093129292518390501567400235012815089374905032555664561376489<215>

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)

43×10231-529

c201

composite cofactor 合成数の残り
179424894864339235888349571667015311951461959064461459524600176148123602347112606961731556169394233259619964487003484092094662317575322033656261518126807842797979199339506087518130645606209213699970441<201>

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)

43×10232-529

c220

composite cofactor 合成数の残り
4319302287600898932830141985340561651508063021311917294527667669518627556278886808077788534220332275657761003165577881387091618013634357910448196357321589922342336633803514067040425277282929419620085173802201644836087293<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)

43×10233-529

c204

composite cofactor 合成数の残り
228033375866842444821841886010174693235743037885302386277311145263860345828593347307818147639321187932956025631956023340212797512715985087294999037778335657278882536790872218951492377972764268272507233453<204>

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)

43×10235-529

c221

composite cofactor 合成数の残り
64006460255379546595964057287690456618022791166014887645272691180224305800762932796832495360106892385140181677143942409720995675125394033698756929520632153511306571856639833618707829405510487156270637848586903530487405247<221>

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)

43×10238-529

c217

composite cofactor 合成数の残り
2074149055450343687529588159530207272378744061361365200018440021204809555413635500509585543857555718752057109325204778439876766805279280153129160027561590060711075777282249464632257084671362548083649848608923393001309<217>

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)

43×10239-529

c204

composite cofactor 合成数の残り
150933987405842851976749087497345360004955604769892361298156901296886332802446113671775824933865856245104977151620967974119300745756776205205269713000720706444553188197548370290101873767901784901186990397<204>

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)

43×10240-529

c223

composite cofactor 合成数の残り
1860154074178734188874609041481400916318821634312837334731051741314978144385265004896057291017043857612228925859930273120299294386725852125743886406321298169723424377110962602817291404922117712850668374718568567409287869879<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)

43×10241-529

c238

composite cofactor 合成数の残り
2441129050571110656947566818811454004587051797352226536775892999068964734200785702931625678406794286622612802870313599927333832913232054862956150509798578468106365102073256579694347934691282330767309308081840270681472398210595635488339351<238>

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)

43×10242-529

c211

composite cofactor 合成数の残り
4902684963126464184898091098369561291476022076232102590781016899502240819538616829126600043565589688403447637343165852356824926231450270528059060098443968102577097744338296937371583037478926638229414013795484503<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)

43×10243-529

c233

composite cofactor 合成数の残り
45112567952854900984613315197722130070655867646017448898738515016777563838868884205118192606963384781576760366310909256680789868171438676670890383969169942412564712972245996737524072926493366466871809719261313746565249678749837616593<233>

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)

43×10245-529

c180

composite cofactor 合成数の残り
439194346528571407890833527694638664121538571297758614133973820839767214992001157897402068527709134893914230089760285743702806013580609735135729597031415874818552293764180479513743<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)

43×10246-529

c228

composite cofactor 合成数の残り
490892273247864230594433945760259841998960738838628121638804000400331427013596870010698463970292998684948483578309892635023694782328799446553320128675482021299831638837218965897818751498603136094398587308352538408669489252526801<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)

43×10247-529

c236

composite cofactor 合成数の残り
11502193074596249473178604066356361660615089811473431447470317543643178517593700194661728879370138272241697668668262899096011878692785081047294577859377616067023307174793746043519646831982190362190687671591974133890785109660903116130673<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)

43×10248-529

c204

composite cofactor 合成数の残り
217206975392299319327712782863734598600741432679122113307192528735411008720471528148414396962306894657474317923639529863798846765403663503806731193708044750560896251039350129179056320081263569904605081191<204>

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)

43×10249-529

c243

composite cofactor 合成数の残り
440100103736711893809699323199731633097673033134297549674098708762671454300762609553709427734355249868164431715521258042727046927075740327183108376677052619719407730884395282601786659038810729157442475538929187729550584921695547263660205710567<243>

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)

43×10251-529

c219

composite cofactor 合成数の残り
125543299243377081176153560036465321153013391722890941848310546737120585501957708777282958858168752793367041675137448638908945359464377279277535859519380562796387528422242466216625845669619390981813447859813147050319751<219>

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)

43×10252-529

c179

composite cofactor 合成数の残り
37500549059465321046264685575402090853677926969277301650034719096597572668376320277856705890217564490136815250222550544510035380840107962549063602153300282598123294294650658354193<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)

43×10253-529

c195

composite cofactor 合成数の残り
310700710209131739764039609164880754726490177590244744424487016169395792095434490326441499544780073079689437488968806305215231875159576305785635447247595945714699256596634452601283600360942801117<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)

43×10254-529

c211

composite cofactor 合成数の残り
6013306268616863994322577146760938910149913561840328084903887701441225586927615817408631601882916304873475728532328645812450466639443643603714612459047791228705399560292558201594478040899558140933167771649263761<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)

43×10255-529

c182

composite cofactor 合成数の残り
96619839347730964122587457049802276242767456123693866808998201649396344616624136541421093438909589576838722415392074363630309042335205895126802759374244375229676869323625830036457227<182>

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)

43×10256-529

c247

composite cofactor 合成数の残り
1467515094729587288587883211989904462605922267136949622736671094853330181768356616618692551847565657990024855059756698842897125949850238874394816335544600626906227990009385539475800042715219871924705480553138148996722301855167819609600932697399261<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)

43×10258-529

c247

composite cofactor 合成数の残り
1486203678720863763102716564442114879537715676132066082814089253451368580081512333563251342521739597393270259331178051566678494382192217664060827168112115036507646323539803631919521997205436111150716776674674537989728618235662085075774820760867371<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)

43×10259-529

c197

composite cofactor 合成数の残り
39957770956293337917183365107285356987902872631015367276927871325814729700578666817371956870431118430079282545316740845964981716096714173796101910068798873186204619572035861218466121312686135940561<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)

43×10260-529

c193

composite cofactor 合成数の残り
2775449395728457670657888966223172328296553216956555832658049686883192850697184723157511156538059398389017910020688518516967148536939275573536583019328077249552431784908905232200976039455115221<193>

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)

43×10262-529

c243

composite cofactor 合成数の残り
267484516273270512903594804688156724293630190430595544142138610652288845200208726050661503678063141365936498939220661170843411455151895279399217765298739882289765624409829397894801281986726738438442798282806315850145254943046549062077604744219<243>

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)

43×10263-529

c241

composite cofactor 合成数の残り
1854015493041416189621458820737707254280279365779140893737123165171685104167555700315553891325776567049249322123189590495998490986202750997323989632162930828148357140528105362771771071300199704792484716126765897918604032058540498619624576181<241>

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)

43×10264-529

c255

composite cofactor 合成数の残り
206163920417503197318235080982836580127227131008085119708133282961853067447194094593424215106100307113012267026494364620535137516890125173026663695467533201570420021664126290770843110970100896381584374469603340500706026459127677776590237157898653011822427<255>

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)

43×10266-529

c232

composite cofactor 合成数の残り
4009084367101868521500170924243924565467699479610800099367544167922093669112301198592791013134970468048236378957687317650542972057878606170225820598242295684393823551200090434991787873716800594114326500748363270290678592169253711541<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)

43×10267-529

c210

composite cofactor 合成数の残り
492728256525294878630493409302189446051867325175416735173194186126375641578464879388551414448015553718632512311639917509854392028692898389425728646095668840425030014052531460127877723180563520649751995502485761<210>

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)

43×10268-529

c219

composite cofactor 合成数の残り
239485859786680349253322351245260676405495477777380360545632120175697311925311720249905676041308262265319022058127515467873181029386696719907808933801992997153140437463325283924690907565013443022102290706944620628738991<219>

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)

43×10269-529

c259

composite cofactor 合成数の残り
2652444239121119392808816434400897575308759667288938378062237263272898007230174001942706905767295106087405823681132130056076929954816896934474362628122361061305280456974982782496085701067000295812817333747050156801012411549208343619814039495045917237267632369<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)

43×10270-529

c215

composite cofactor 合成数の残り
31356569738610519260705323934640823404119424660994778261187230402920268424747026903222739107699711038754468819966015057419405356442001755634166932607756023639219608788863091008011572474382440183845525417070207488651<215>

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)

43×10271-529

c229

composite cofactor 合成数の残り
1337983845629795323769482785848135189979698732865671615607025255836465119077392805297414544663389508714584299607055830031379802807207125933472946872932730148992279621505221575919239597575446492909450436030832754064613759951776039<229>

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)

43×10272-529

c271

composite cofactor 合成数の残り
2253668763102725366876310272536687631027253668763102725366876310272536687631027253668763102725366876310272536687631027253668763102725366876310272536687631027253668763102725366876310272536687631027253668763102725366876310272536687631027253668763102725366876310272536687631<271>

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)

43×10274-529

c219

composite cofactor 合成数の残り
463401593244837322015545246759677292573886179426078285441035961841511274034988042568468110840128935101307313734307051342099059871431276054544734695809687058817809743902501440482866233172388278548359071170265512411375401<219>

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)

43×10275-529

c184

name 名前Ignacio Santos
date 日付June 29, 2022 20:16:05 UTC 2022 年 6 月 30 日 (木) 5 時 16 分 5 秒 (日本時間)
composite number 合成数
3013706477090046497854480657794718683883906876668560775218051060738664356498735897811796396211394623645188934547545679226279054564078161761526119117680114528048468735536034014412336127<184>
prime factors 素因数
445949591513428299852779725921571<33>
composite cofactor 合成数の残り
6757953218125772575464799076738883480752630630849102155972823584173997902107162843739215303449012109854469283493371098251226132695504809285556001778037<151>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2263534835
Step 1 took 6062ms
Step 2 took 3625ms
********** Factor found in step 2: 445949591513428299852779725921571
Found prime factor of 33 digits: 445949591513428299852779725921571
Composite cofactor 6757953218125772575464799076738883480752630630849102155972823584173997902107162843739215303449012109854469283493371098251226132695504809285556001778037 has 151 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 30, 2022 14:35:55 UTC 2022 年 6 月 30 日 (木) 23 時 35 分 55 秒 (日本時間)
4511e64480Ignacio SantosJuly 1, 2022 08:41:14 UTC 2022 年 7 月 1 日 (金) 17 時 41 分 14 秒 (日本時間)

43×10276-529

c231

composite cofactor 合成数の残り
421093404168936302066679423186151663715234809993371648564878977507837086535452452571327794219348243871251241871459328814212887749719010928730563520209655927892796773337042956792684483163673122351292062779219691627820670745118243113<231>

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)

43×10278-529

c245

composite cofactor 合成数の残り
24138059637486706700930364121862687713298230234137359995828204522541912011022072616235849467832504624523376824381721721193804201797585765991401934338811888588339904062789866848622415136404324637310275173972499627936831455248556950196051573785981<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)

43×10279-529

c219

composite cofactor 合成数の残り
820814465012680004758029962904954871654839280932769942466796822002716030605237681574512944715232764981305862195640590960387007014101555186515750032519259717101591523513106000126105530620754775355585379265067691354750817<219>

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)

43×10280-529

c273

composite cofactor 合成数の残り
364542405500443695582784058639959021771242234403228669681978325990550647136186908209276924645120596341729809734941827357213343173061942601309564503840644143107248982703724345281585389292308470276400833290359718136083354428469789304357698883137359235892260621288027881098421<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)

43×10281-529

c266

composite cofactor 合成数の残り
45932893647035349391601369701323621273840857987588402782810284885664107944551230440864352655954219764778800128689361576023573029399062790719732440870226747782565163392067731641447480122795906319963989934516576044018252049911448740931690713260414384438623434426632609<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)

43×10282-529

c231

composite cofactor 合成数の残り
814271554947533659137146006162861507154814771179341431907617837852773051453853987958934085513814030736416802172374203739085910740957729836688043176861714340704509648455872911358524611860763345946257496574521753664303682002070499133<231>

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)

43×10283-529

c247

composite cofactor 合成数の残り
1673635122233043600796827686207801550829624199977696406526268351249487382114485766750536172216183801959220243759966607060910224948890737440511163168908413275303648806655320956797288665513508619264219247956373182786558482666040316790238225868460191<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)

43×10288-529

c236

composite cofactor 合成数の残り
19099118503892960314184683043168722582877026486591559790326821957926252428812000835040130144620429786843354032248631349697831362324393114672759493013909121109348073889831329956855194126626380854091678596593676517167085370850994432168807<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)

43×10290-529

c246

composite cofactor 合成数の残り
153179752282810826350746966317698931136363134225401560056108582309716158738634491108245515259217557090021074910826999195690592955361661549481422809137568552061211017109505867662966367634622847185595690310409575048010495058315471184977524029780109<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)

43×10291-529

c231

composite cofactor 合成数の残り
687972993463339220317183980779028966448237563947703191815345283294933024422068715691882273082945969261801680509645500322010418170927358478477053173011197295550224238368537259854177418076979424379279882355746443539193365008150214061<231>

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)

43×10294-529

c270

composite cofactor 合成数の残り
118159533264896314851417273802452187663150809219549330545627773888278298674259523177526335631219730259725591331786078168902487711771779875179151750447072813915936860802247657356013226255536602638941453983298391749777045117733411134303299377755991713622312371489887173347<270>

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)

43×10295-529

c239

composite cofactor 合成数の残り
45397706218384293530927835772837115589282359370315191804434323648652086814558908357722455311410336208333608020983064566762929539229252499791524371221091102980082932663860846113414359118883719563088229253624741001173892301262360082667909843<239>

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)

43×10296-529

c283

composite cofactor 合成数の残り
9635321540775499841127784840645124736583661487554499476633235790103470338394155572925406276312935675076196629362712872120256436575144815675701805848918427567165796427498638018509803396086722768138015606946381569387428644396685401293448938970195567520552973394476244968511208508937939<283>

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)

43×10298-529

c279

composite cofactor 合成数の残り
456346482655077715331224794326256761799212023829008724998800258057622041520273164222374148873402878614437819158106307091452982852171561897139425339374722685433061732862171871397110135102649529371949194612453245923633462308273176221603344407665615094185564574776281979133071036099<279>

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)

43×10300-529

c278

composite cofactor 合成数の残り
46224710390786396481134921953784863543276332910175459758676569450859181103801733314288204139916380649890371123672910298384549156353692466136525455314719501035021604081141762939499797254149250888422448273338443173866546349866199704017269176223002054548160675851670795162829457007<278>

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 07:38:36 UTC 2022 年 7 月 1 日 (金) 16 時 38 分 36 秒 (日本時間)
4511e63584Dmitry DomanovJuly 9, 2022 14:16:03 UTC 2022 年 7 月 9 日 (土) 23 時 16 分 3 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovJuly 9, 2022 14:16:03 UTC 2022 年 7 月 9 日 (土) 23 時 16 分 3 秒 (日本時間)