Table of contents 目次

37×10113+629

c95

name 名前Dmitry Domanov
date 日付June 29, 2022 19:28:51 UTC 2022 年 6 月 30 日 (木) 4 時 28 分 51 秒 (日本時間)
composite number 合成数
82169581142928325114282001347866441990670608092718422811986781934039729467355636731189843756877<95>
prime factors 素因数
9191500334155953293874986749348226932447<40>
8939735424649133666499093829411354939534954924052388691<55>
factorization results 素因数分解の結果
N=82169581142928325114282001347866441990670608092718422811986781934039729467355636731189843756877
  ( 95 digits)
SNFS difficulty: 114 digits.
Divisors found:
p40 factor: 9191500334155953293874986749348226932447
p55 factor: 8939735424649133666499093829411354939534954924052388691
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.37 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 82169581142928325114282001347866441990670608092718422811986781934039729467355636731189843756877
m: 10000000000000000000000000000
deg: 4
c4: 185
c0: 31
skew: 0.64
# Murphy_E = 5.678e-08
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 74525 x 74752
Total sieving time: 0.36 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114.000,4,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,20000
total time: 0.37 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)

37×10114+629

c114

name 名前Dmitry Domanov
date 日付June 29, 2022 22:01:59 UTC 2022 年 6 月 30 日 (木) 7 時 1 分 59 秒 (日本時間)
composite number 合成数
186868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686869<114>
prime factors 素因数
10892492021275698206751868319741850902863<41>
17155733187932262595636033923847936797741992695460015205273993634967625563<74>
factorization results 素因数分解の結果
N=186868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686869
  ( 114 digits)
SNFS difficulty: 115 digits.
Divisors found:
p41 factor: 10892492021275698206751868319741850902863
p74 factor: 17155733187932262595636033923847936797741992695460015205273993634967625563
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.36 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 186868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686869
m: 10000000000000000000000000000
deg: 4
c4: 1850
c0: 31
skew: 0.36
# Murphy_E = 5.833e-08
type: snfs
lss: 1
rlim: 580000
alim: 580000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 580000/580000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [290000, 690001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 64151 x 64376
Total sieving time: 0.35 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,115.000,4,0,0,0,0,0,0,0,0,580000,580000,25,25,45,45,2.2,2.2,20000
total time: 0.36 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)

37×10121+629

c114

name 名前Bob Backstrom
date 日付June 30, 2022 08:46:57 UTC 2022 年 6 月 30 日 (木) 17 時 46 分 57 秒 (日本時間)
composite number 合成数
391578763002222014748977089909779596845279773808189342361014499634550123699837064500043167854497561172323232504109<114>
prime factors 素因数
874434895270844314004270424025710237481<39>
447807795777564228490490742233410667495776495614783563571672775777184204389<75>
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 391578763002222014748977089909779596845279773808189342361014499634550123699837064500043167854497561172323232504109 (114 digits)
Using B1=15460000, B2=46847878360, polynomial Dickson(12), sigma=1:3209867264
Step 1 took 19133ms
Step 2 took 9309ms
********** Factor found in step 2: 874434895270844314004270424025710237481
Found prime factor of 39 digits: 874434895270844314004270424025710237481
Prime cofactor 447807795777564228490490742233410667495776495614783563571672775777184204389 has 75 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)

37×10124+629

c88

name 名前Eric Jeancolas
date 日付June 29, 2022 15:52:55 UTC 2022 年 6 月 30 日 (木) 0 時 52 分 55 秒 (日本時間)
composite number 合成数
7064113526337257079714460405668127320758602952060436151469180469826199414288167220227747<88>
prime factors 素因数
19639644893576550827202552372940801475201<41>
359686418192198806258335996963998853760586733347<48>
factorization results 素因数分解の結果
Wed Jun 29 17:03:31 2022  Msieve v. 1.53 (SVN 1005)
Wed Jun 29 17:03:31 2022  random seeds: 92abfe7c 465097e4
Wed Jun 29 17:03:31 2022  factoring 7064113526337257079714460405668127320758602952060436151469180469826199414288167220227747 (88 digits)
Wed Jun 29 17:03:31 2022  searching for 15-digit factors
Wed Jun 29 17:03:31 2022  commencing quadratic sieve (88-digit input)
Wed Jun 29 17:03:32 2022  using multiplier of 7
Wed Jun 29 17:03:32 2022  using generic 32kb sieve core
Wed Jun 29 17:03:32 2022  sieve interval: 27 blocks of size 32768
Wed Jun 29 17:03:32 2022  processing polynomials in batches of 8
Wed Jun 29 17:03:32 2022  using a sieve bound of 1525859 (58000 primes)
Wed Jun 29 17:03:32 2022  using large prime bound of 122068720 (26 bits)
Wed Jun 29 17:03:32 2022  using double large prime bound of 359656440759680 (42-49 bits)
Wed Jun 29 17:03:32 2022  using trial factoring cutoff of 49 bits
Wed Jun 29 17:03:32 2022  polynomial 'A' values have 11 factors
Wed Jun 29 17:43:41 2022  58503 relations (16499 full + 42004 combined from 609697 partial), need 58096
Wed Jun 29 17:43:42 2022  begin with 626196 relations
Wed Jun 29 17:43:42 2022  reduce to 139539 relations in 9 passes
Wed Jun 29 17:43:42 2022  attempting to read 139539 relations
Wed Jun 29 17:43:43 2022  recovered 139539 relations
Wed Jun 29 17:43:43 2022  recovered 114195 polynomials
Wed Jun 29 17:43:43 2022  attempting to build 58503 cycles
Wed Jun 29 17:43:43 2022  found 58503 cycles in 5 passes
Wed Jun 29 17:43:43 2022  distribution of cycle lengths:
Wed Jun 29 17:43:43 2022     length 1 : 16499
Wed Jun 29 17:43:43 2022     length 2 : 11430
Wed Jun 29 17:43:43 2022     length 3 : 10324
Wed Jun 29 17:43:43 2022     length 4 : 7575
Wed Jun 29 17:43:43 2022     length 5 : 5285
Wed Jun 29 17:43:43 2022     length 6 : 3325
Wed Jun 29 17:43:43 2022     length 7 : 1948
Wed Jun 29 17:43:43 2022     length 9+: 2117
Wed Jun 29 17:43:43 2022  largest cycle: 19 relations
Wed Jun 29 17:43:44 2022  matrix is 58000 x 58503 (14.9 MB) with weight 3434572 (58.71/col)
Wed Jun 29 17:43:44 2022  sparse part has weight 3434572 (58.71/col)
Wed Jun 29 17:43:44 2022  filtering completed in 3 passes
Wed Jun 29 17:43:44 2022  matrix is 53283 x 53346 (13.6 MB) with weight 3147291 (59.00/col)
Wed Jun 29 17:43:44 2022  sparse part has weight 3147291 (59.00/col)
Wed Jun 29 17:43:44 2022  saving the first 48 matrix rows for later
Wed Jun 29 17:43:44 2022  matrix includes 64 packed rows
Wed Jun 29 17:43:44 2022  matrix is 53235 x 53346 (9.9 MB) with weight 2558274 (47.96/col)
Wed Jun 29 17:43:44 2022  sparse part has weight 2065218 (38.71/col)
Wed Jun 29 17:43:44 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Wed Jun 29 17:43:45 2022  commencing Lanczos iteration
Wed Jun 29 17:43:45 2022  memory use: 6.0 MB
Wed Jun 29 17:43:56 2022  lanczos halted after 843 iterations (dim = 53233)
Wed Jun 29 17:43:57 2022  recovered 17 nontrivial dependencies
Wed Jun 29 17:43:57 2022  p41 factor: 19639644893576550827202552372940801475201
Wed Jun 29 17:43:57 2022  p48 factor: 359686418192198806258335996963998853760586733347
Wed Jun 29 17:43:57 2022  elapsed time 00:40:26
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)

37×10130+629

c97

name 名前Ignacio Santos
date 日付June 30, 2022 13:00:55 UTC 2022 年 6 月 30 日 (木) 22 時 0 分 55 秒 (日本時間)
composite number 合成数
3040791842661314404249440416612485180557201621117192071985704285719267012930194363751282641639209<97>
prime factors 素因数
7387244002971819225797938139782418592851<40>
411627373001085690861181089232034347621824612828768311059<57>
factorization results 素因数分解の結果
prp40 = 7387244002971819225797938139782418592851
prp57 = 411627373001085690861181089232034347621824612828768311059
software ソフトウェア
Yafu

ECM

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

37×10131+629

c94

name 名前Ignacio Santos
date 日付June 30, 2022 12:54:02 UTC 2022 年 6 月 30 日 (木) 21 時 54 分 2 秒 (日本時間)
composite number 合成数
1469657950589761193116401777337782274538071778219563130349023097956386265333930126159263149577<94>
prime factors 素因数
106347072052059464304707616410205566033<39>
13819449113468098823473823256946007759792326888925530169<56>
factorization results 素因数分解の結果
prp56 = 13819449113468098823473823256946007759792326888925530169
prp39 = 106347072052059464304707616410205566033
software ソフトウェア
Yafu

ECM

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

37×10137+629

c115

name 名前Eric Jeancolas
date 日付July 4, 2022 16:58:57 UTC 2022 年 7 月 5 日 (火) 1 時 58 分 57 秒 (日本時間)
composite number 合成数
2512888363878944531798621594406688539214697132163605509529853530279254982104636832113099075756163803190791833894379<115>
prime factors 素因数
14237922259417173118593041991331929717805951438529077729<56>
176492631304885996876720996354656870207153675035316721643851<60>
factorization results 素因数分解の結果
2512888363878944531798621594406688539214697132163605509529853530279254982104636832113099075756163803190791833894379=14237922259417173118593041991331929717805951438529077729*176492631304885996876720996354656870207153675035316721643851

cado polynomial
n: 2512888363878944531798621594406688539214697132163605509529853530279254982104636832113099075756163803190791833894379
skew: 0.64
type: snfs
c0: 31
c4: 185
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 185*x^4+31
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1410000
tasks.lim1 = 1410000
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: 14237922259417173118593041991331929717805951438529077729 176492631304885996876720996354656870207153675035316721643851
Info:Square Root: Total cpu/real time for sqrt: 26.73/8.71414
Info:Quadratic Characters: Total cpu/real time for characters: 5.5/2.14938
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 48.06/47.2492
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 36.4s
Info:Square Root: Total cpu/real time for sqrt: 26.73/8.71414
Info:Linear Algebra: Total cpu/real time for bwc: 479.79/125.61
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 285.03, WCT time 73.31, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5760 iterations)
Info:Linear Algebra: Lingen CPU time 24.41, WCT time 6.24
Info:Linear Algebra: Mksol: CPU time 154.62,  WCT time 39.94, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2816 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 40.91/37.1336
Info:Generate Free Relations: Total cpu/real time for freerel: 36.4/11.0027
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6068958
Info:Lattice Sieving: Average J: 1890.89 for 123443 special-q, max bucket fill -bkmult 1.0,1s:1.308730
Info:Lattice Sieving: Total time: 10179.5s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.33/22.1122
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.0s
Info:Filtering - Merging: Merged matrix has 180338 rows and total weight 30714612 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 36.2/10.162
Info:Filtering - Merging: Total cpu/real time for replay: 5.41/4.56719
Info:Generate Factor Base: Total cpu/real time for makefb: 0.73/0.398683
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 19083.9/5482.08
Info:root: Cleaning up computation data in /tmp/cado.hql2my7v
14237922259417173118593041991331929717805951438529077729 176492631304885996876720996354656870207153675035316721643851
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)

37×10138+629

c124

name 名前Eric Jeancolas
date 日付July 4, 2022 18:54:11 UTC 2022 年 7 月 5 日 (火) 3 時 54 分 11 秒 (日本時間)
composite number 合成数
2231865076960901067364469540388813847403446200042014575063388092859853556066566270360329890958223873537851448028257200743861<124>
prime factors 素因数
1425377877874822368511334483119499894630863739<46>
1565805890216646774752870694611284061686504036580574759353558274356024515808399<79>
factorization results 素因数分解の結果
2231865076960901067364469540388813847403446200042014575063388092859853556066566270360329890958223873537851448028257200743861=1425377877874822368511334483119499894630863739*1565805890216646774752870694611284061686504036580574759353558274356024515808399

cado polynomial
n: 2231865076960901067364469540388813847403446200042014575063388092859853556066566270360329890958223873537851448028257200743861
skew: 0.36
type: snfs
c0: 31
c4: 1850
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 1850*x^4+31
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1470000
tasks.lim1 = 1470000
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: 1565805890216646774752870694611284061686504036580574759353558274356024515808399 1425377877874822368511334483119499894630863739
Info:Square Root: Total cpu/real time for sqrt: 26.97/8.75924
Info:Quadratic Characters: Total cpu/real time for characters: 5.14/2.02578
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.46/49.0139
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 37.5s
Info:Square Root: Total cpu/real time for sqrt: 26.97/8.75924
Info:Linear Algebra: Total cpu/real time for bwc: 394.97/104.45
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 232.41, WCT time 60.28, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5376 iterations)
Info:Linear Algebra: Lingen CPU time 22.57, WCT time 5.77
Info:Linear Algebra: Mksol: CPU time 126.06,  WCT time 33.09, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2688 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 42.94/38.3597
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6072567
Info:Lattice Sieving: Average J: 1890.68 for 107615 special-q, max bucket fill -bkmult 1.0,1s:1.312940
Info:Lattice Sieving: Total time: 9310.62s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.37/11.186
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.73/22.6834
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.6s
Info:Filtering - Merging: Merged matrix has 167584 rows and total weight 28580313 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 34.23/9.61531
Info:Filtering - Merging: Total cpu/real time for replay: 5.11/4.33877
Info:Generate Factor Base: Total cpu/real time for makefb: 0.76/0.409349
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 17438.5/5035.3
Info:root: Cleaning up computation data in /tmp/cado.vuf3vzg4
1565805890216646774752870694611284061686504036580574759353558274356024515808399 1425377877874822368511334483119499894630863739
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)

37×10140+629

c117

name 名前Eric Jeancolas
date 日付July 4, 2022 18:19:29 UTC 2022 年 7 月 5 日 (火) 3 時 19 分 29 秒 (日本時間)
composite number 合成数
490044586350332211490772902319467447942189975343458125459063806446923291404102865956010165143348536222914461537503391<117>
prime factors 素因数
97350139359218784066066929392200832930639<41>
5033835488843872611210769439743965713728643468995758567095467824109816078769<76>
factorization results 素因数分解の結果
490044586350332211490772902319467447942189975343458125459063806446923291404102865956010165143348536222914461537503391=97350139359218784066066929392200832930639*5033835488843872611210769439743965713728643468995758567095467824109816078769

cado polynomial
n: 490044586350332211490772902319467447942189975343458125459063806446923291404102865956010165143348536222914461537503391
skew: 1.11
type: snfs
c0: 62
c5: 37
Y0: 10000000000000000000000000000
Y1: -1
# f(x) = 37*x^5+62
# g(x) = -x+10000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1600000
tasks.lim1 = 1600000
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: 5033835488843872611210769439743965713728643468995758567095467824109816078769 97350139359218784066066929392200832930639
Info:Square Root: Total cpu/real time for sqrt: 23.84/7.89449
Info:Filtering - Singleton removal: Total cpu/real time for purge: 46.64/40.5749
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6033932
Info:Lattice Sieving: Average J: 1893.84 for 71121 special-q, max bucket fill -bkmult 1.0,1s:1.214000
Info:Lattice Sieving: Total time: 7174.4s
Info:Linear Algebra: Total cpu/real time for bwc: 297.52/78.49
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 170.76, WCT time 44.08, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4736 iterations)
Info:Linear Algebra: Lingen CPU time 19.57, WCT time 4.99
Info:Linear Algebra: Mksol: CPU time 94.73,  WCT time 24.6, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2432 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 30.86/9.9175
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.92/22.0901
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.0s
Info:Filtering - Merging: Merged matrix has 149849 rows and total weight 25522113 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 30.2/8.56555
Info:Filtering - Merging: Total cpu/real time for replay: 4.58/3.82958
Info:Generate Factor Base: Total cpu/real time for makefb: 0.69/0.38361
Info:Quadratic Characters: Total cpu/real time for characters: 4.72/1.87372
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 48.57/49.0395
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 36.900000000000006s
Info:Square Root: Total cpu/real time for sqrt: 23.84/7.89449
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 13424.7/3954.21
Info:root: Cleaning up computation data in /tmp/cado.9_c1k17c
5033835488843872611210769439743965713728643468995758567095467824109816078769 97350139359218784066066929392200832930639
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)

37×10143+629

c135

name 名前Bob Backstrom
date 日付July 3, 2022 16:24:15 UTC 2022 年 7 月 4 日 (月) 1 時 24 分 15 秒 (日本時間)
composite number 合成数
109048035049536608087995040795749074973679593021448786572684946276904631015836953409941967581222480630875193989078874538829427415063857<135>
prime factors 素因数
198666856136969883292839987011677076236596620987083652479<57>
548898981792685029516409477724569548905484185292773325793634793780867841563983<78>
factorization results 素因数分解の結果
Number: n
N=109048035049536608087995040795749074973679593021448786572684946276904631015836953409941967581222480630875193989078874538829427415063857  ( 135 digits)
SNFS difficulty: 144 digits.
Divisors found:

Mon Jul  4 02:18:22 2022  p57 factor: 198666856136969883292839987011677076236596620987083652479
Mon Jul  4 02:18:22 2022  p78 factor: 548898981792685029516409477724569548905484185292773325793634793780867841563983
Mon Jul  4 02:18:22 2022  elapsed time 00:03:26 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 37x10^143+62 = 41(142)8
#
n: 109048035049536608087995040795749074973679593021448786572684946276904631015836953409941967581222480630875193989078874538829427415063857
m: 10000000000000000000000000000
deg: 5
c5: 18500
c0: 31
skew: 0.28
# Murphy_E = 1.882e-09
type: snfs
lss: 1
rlim: 1780000
alim: 1780000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1780000/1780000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6490000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 575850 hash collisions in 6230896 relations (6050132 unique)
Msieve: matrix is 309263 x 309488 (104.5 MB)

Sieving start time : 2022/07/04 02:01:00
Sieving end time  : 2022/07/04 02:14:45

Total sieving time: 0hrs 13min 45secs.

Total relation processing time: 0hrs 1min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 19sec.

Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1780000,1780000,26,26,49,49,2.3,2.3,100000
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)

37×10145+629

c111

name 名前Eric Jeancolas
date 日付July 5, 2022 07:44:53 UTC 2022 年 7 月 5 日 (火) 16 時 44 分 53 秒 (日本時間)
composite number 合成数
760849699957381344880339578831174285119150901093011784966529614492661665487000067801600209968753993364153429987<111>
prime factors 素因数
102311774466605487704133699050119078092677729<45>
7436580040997356648316364856317262267870661104919085273466847019203<67>
factorization results 素因数分解の結果
760849699957381344880339578831174285119150901093011784966529614492661665487000067801600209968753993364153429987=102311774466605487704133699050119078092677729*7436580040997356648316364856317262267870661104919085273466847019203

cado polynomial
n: 760849699957381344880339578831174285119150901093011784966529614492661665487000067801600209968753993364153429987
skew: 1.11
type: snfs
c0: 62
c5: 37
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 37*x^5+62
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1940000
tasks.lim1 = 1940000
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: 102311774466605487704133699050119078092677729 7436580040997356648316364856317262267870661104919085273466847019203
Info:Square Root: Total cpu/real time for sqrt: 36.19/50.6495
Info:Filtering - Singleton removal: Total cpu/real time for purge: 38.68/45.6186
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6088960
Info:Lattice Sieving: Average J: 1891.87 for 87673 special-q, max bucket fill -bkmult 1.0,1s:1.247480
Info:Lattice Sieving: Total time: 16885.8s
Info:Linear Algebra: Total cpu/real time for bwc: 788.17/688.54
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 342.42, WCT time 308.65, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6656 iterations)
Info:Linear Algebra: Lingen CPU time 240.89, WCT time 201.53
Info:Linear Algebra: Mksol: CPU time 187.21,  WCT time 168.33, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3328 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 30.48/21.5964
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.84/40.0815
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.9s
Info:Filtering - Merging: Merged matrix has 208595 rows and total weight 35583704 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 43.12/15.5648
Info:Filtering - Merging: Total cpu/real time for replay: 6.78/6.37193
Info:Generate Factor Base: Total cpu/real time for makefb: 0.86/1.05337
Info:Quadratic Characters: Total cpu/real time for characters: 6.9/9.17945
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 53.91/87.957
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 78.9s
Info:Square Root: Total cpu/real time for sqrt: 36.19/50.6495
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 16906.3/9675.7
Info:root: Cleaning up computation data in /tmp/cado.ibwwd58v
102311774466605487704133699050119078092677729 7436580040997356648316364856317262267870661104919085273466847019203
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)

37×10147+629

c131

name 名前Bob Backstrom
date 日付July 1, 2022 09:11:53 UTC 2022 年 7 月 1 日 (金) 18 時 11 分 53 秒 (日本時間)
composite number 合成数
10027941227085083070339448471778846663759422619000132669104883132615709041630351717954245945559150564638209953827022687099501987363<131>
prime factors 素因数
15350408431447378139223373079612723<35>
653268691309965115208230524702811257115189748725019017602662333229072600097087908288090651001681<96>
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 10027941227085083070339448471778846663759422619000132669104883132615709041630351717954245945559150564638209953827022687099501987363 (131 digits)
Using B1=16070000, B2=58558467250, polynomial Dickson(12), sigma=1:920572783
Step 1 took 24619ms
Step 2 took 13204ms
********** Factor found in step 2: 15350408431447378139223373079612723
Found prime factor of 35 digits: 15350408431447378139223373079612723
Prime cofactor 653268691309965115208230524702811257115189748725019017602662333229072600097087908288090651001681 has 96 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)

37×10148+629

c110

name 名前Eric Jeancolas
date 日付July 5, 2022 13:14:58 UTC 2022 年 7 月 5 日 (火) 22 時 14 分 58 秒 (日本時間)
composite number 合成数
12961714126754655531192066610727683019942585281583784646028268466221402911322183916542514951068549161038650473<110>
prime factors 素因数
6368594857513358503779902241470327<34>
2035254937195927221128066571767131574766248005075113476230757859154473370399<76>
factorization results 素因数分解の結果
12961714126754655531192066610727683019942585281583784646028268466221402911322183916542514951068549161038650473=6368594857513358503779902241470327*2035254937195927221128066571767131574766248005075113476230757859154473370399

cado polynomial
n: 12961714126754655531192066610727683019942585281583784646028268466221402911322183916542514951068549161038650473
skew: 1.14
type: snfs
c0: 62
c4: 37
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 37*x^4+62
# 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: 2035254937195927221128066571767131574766248005075113476230757859154473370399 6368594857513358503779902241470327
Info:Square Root: Total cpu/real time for sqrt: 61/19.9575
Info:Quadratic Characters: Total cpu/real time for characters: 11.33/4.48087
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.78/49.1248
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 38.0s
Info:Square Root: Total cpu/real time for sqrt: 61/19.9575
Info:Linear Algebra: Total cpu/real time for bwc: 1743.47/450
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1071.95, WCT time 273.62, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11008 iterations)
Info:Linear Algebra: Lingen CPU time 54.1, WCT time 13.79
Info:Linear Algebra: Mksol: CPU time 586.41,  WCT time 149.82, 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: 27.67/29.5273
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6033661
Info:Lattice Sieving: Average J: 1891.77 for 253625 special-q, max bucket fill -bkmult 1.0,1s:1.314320
Info:Lattice Sieving: Total time: 21243.4s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.17/10.8781
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.33/24.1047
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 24.0s
Info:Filtering - Merging: Merged matrix has 350173 rows and total weight 59863596 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 70.67/19.9181
Info:Filtering - Merging: Total cpu/real time for replay: 11.46/9.54341
Info:Generate Factor Base: Total cpu/real time for makefb: 1.13/0.607117
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 40775.8/11380.2
Info:root: Cleaning up computation data in /tmp/cado.sq_kdjxy
2035254937195927221128066571767131574766248005075113476230757859154473370399 6368594857513358503779902241470327
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)

37×10149+629

c147

name 名前Bob Backstrom
date 日付July 1, 2022 03:32:06 UTC 2022 年 7 月 1 日 (金) 12 時 32 分 6 秒 (日本時間)
composite number 合成数
238187202265997167503540620574224282219647225440968198789751512810608986738766576541779322775846530191837260203424745719067851165186043517445603193<147>
prime factors 素因数
54920472289145799932522650201546740251194231<44>
4336947450342142502144687926969082201910725552281981418426439119145312421294792050419235923621786255503<103>
factorization results 素因数分解の結果
Number: n
N=238187202265997167503540620574224282219647225440968198789751512810608986738766576541779322775846530191837260203424745719067851165186043517445603193  ( 147 digits)
SNFS difficulty: 150 digits.
Divisors found:

Fri Jul  1 13:28:14 2022  p44 factor: 54920472289145799932522650201546740251194231
Fri Jul  1 13:28:14 2022  p103 factor: 4336947450342142502144687926969082201910725552281981418426439119145312421294792050419235923621786255503
Fri Jul  1 13:28:14 2022  elapsed time 00:04:39 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 37x10^149+62 = 41(148)8
#
n: 238187202265997167503540620574224282219647225440968198789751512810608986738766576541779322775846530191837260203424745719067851165186043517445603193
m: 500000000000000000000000000000
deg: 5
c5: 296
c0: 155
skew: 0.88
# Murphy_E = 1.268e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 914559 hash collisions in 11829731 relations (11681810 unique)
Msieve: matrix is 320240 x 320468 (107.4 MB)

Sieving start time : 2022/07/01 12:38:16
Sieving end time  : 2022/07/01 13:23:12

Total sieving time: 0hrs 44min 56secs.

Total relation processing time: 0hrs 1min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 15sec.

Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

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

37×10150+629

c124

name 名前Eric Jeancolas
date 日付July 6, 2022 02:11:36 UTC 2022 年 7 月 6 日 (水) 11 時 11 分 36 秒 (日本時間)
composite number 合成数
1579392587444074598380513461687330810036998449447362558493754982345203573867589794377090497560316767845738652635035644186731<124>
prime factors 素因数
3434364733665453121398235087354024327<37>
459879107178697729494363392200630757093426061001787586314041415229863707087487428416253<87>
factorization results 素因数分解の結果
1579392587444074598380513461687330810036998449447362558493754982345203573867589794377090497560316767845738652635035644186731=3434364733665453121398235087354024327*459879107178697729494363392200630757093426061001787586314041415229863707087487428416253

cado polynomial
n: 1579392587444074598380513461687330810036998449447362558493754982345203573867589794377090497560316767845738652635035644186731
skew: 1.11
type: snfs
c0: 62
c5: 37
Y0: 1000000000000000000000000000000
Y1: -1
# f(x) = 37*x^5+62
# g(x) = -x+1000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2400000
tasks.lim1 = 2400000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
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: 3434364733665453121398235087354024327 459879107178697729494363392200630757093426061001787586314041415229863707087487428416253
Info:Square Root: Total cpu/real time for sqrt: 37.52/30.0219
Info:Filtering - Singleton removal: Total cpu/real time for purge: 111.83/156.84
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11753268
Info:Lattice Sieving: Average J: 1893.21 for 179707 special-q, max bucket fill -bkmult 1.0,1s:1.220420
Info:Lattice Sieving: Total time: 43975.9s
Info:Linear Algebra: Total cpu/real time for bwc: 891.2/863.22
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 416.78, WCT time 411.98, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7168 iterations)
Info:Linear Algebra: Lingen CPU time 225.43, WCT time 199.4
Info:Linear Algebra: Mksol: CPU time 228.8,  WCT time 232.62, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3584 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 60.69/17.7188
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.08/77.8455
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 77.6s
Info:Filtering - Merging: Merged matrix has 226356 rows and total weight 38595763 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 49.29/38.5383
Info:Filtering - Merging: Total cpu/real time for replay: 8.17/9.28786
Info:Generate Factor Base: Total cpu/real time for makefb: 1.04/0.573858
Info:Quadratic Characters: Total cpu/real time for characters: 7.24/5.95867
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 105.14/157.841
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 148.0s
Info:Square Root: Total cpu/real time for sqrt: 37.52/30.0219
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 41917.9/23416.8
Info:root: Cleaning up computation data in /tmp/cado.vqg0pbkq
3434364733665453121398235087354024327 459879107178697729494363392200630757093426061001787586314041415229863707087487428416253
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)

37×10153+629

c146

name 名前Bob Backstrom
date 日付July 1, 2022 04:23:34 UTC 2022 年 7 月 1 日 (金) 13 時 23 分 34 秒 (日本時間)
composite number 合成数
10479166237339474233505166566270872919481275131026722362744159595726047013390409466039992360359276956947235393358816615104608925539665180114235453<146>
prime factors 素因数
894525823140671856415318859848961629737501186856769<51>
11714772191312732490977682575461226450414936774468465290963437749595807123183057132154821015037<95>
factorization results 素因数分解の結果
Number: n
N=10479166237339474233505166566270872919481275131026722362744159595726047013390409466039992360359276956947235393358816615104608925539665180114235453  ( 146 digits)
SNFS difficulty: 154 digits.
Divisors found:

Fri Jul  1 14:18:38 2022  p51 factor: 894525823140671856415318859848961629737501186856769
Fri Jul  1 14:18:38 2022  p95 factor: 11714772191312732490977682575461226450414936774468465290963437749595807123183057132154821015037
Fri Jul  1 14:18:38 2022  elapsed time 00:05:39 (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 = 37x10^153+62 = 41(152)8
#
n: 10479166237339474233505166566270872919481275131026722362744159595726047013390409466039992360359276956947235393358816615104608925539665180114235453
m: 1000000000000000000000000000000
deg: 5
c5: 18500
c0: 31
skew: 0.28
# Murphy_E = 7.903e-10
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1367178 hash collisions in 14182220 relations (13724328 unique)
Msieve: matrix is 391649 x 391875 (131.4 MB)

Sieving start time : 2022/07/01 13:29:59
Sieving end time  : 2022/07/01 14:12:38

Total sieving time: 0hrs 42min 39secs.

Total relation processing time: 0hrs 2min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 23sec.

Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

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

37×10155+629

c148

name 名前Bob Backstrom
date 日付June 30, 2022 21:22:10 UTC 2022 年 7 月 1 日 (金) 6 時 22 分 10 秒 (日本時間)
composite number 合成数
3949058570372532177532263312219339473504637901395307629986950410666122866359142589197860883345956125493934637739825446445393998779629901189666275157<148>
prime factors 素因数
46282467888468483271246856137283414275533994355272354045731219429772065263<74>
85325151197403209044272026847426003534158017008816826740915577740564377339<74>
factorization results 素因数分解の結果
Number: n
N=3949058570372532177532263312219339473504637901395307629986950410666122866359142589197860883345956125493934637739825446445393998779629901189666275157  ( 148 digits)
SNFS difficulty: 156 digits.
Divisors found:

Fri Jul  1 07:16:19 2022  p74 factor: 46282467888468483271246856137283414275533994355272354045731219429772065263
Fri Jul  1 07:16:19 2022  p74 factor: 85325151197403209044272026847426003534158017008816826740915577740564377339
Fri Jul  1 07:16:19 2022  elapsed time 00:05:57 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 37x10^155+62 = 41(154)8
#
n: 3949058570372532177532263312219339473504637901395307629986950410666122866359142589197860883345956125493934637739825446445393998779629901189666275157
m: 10000000000000000000000000000000
deg: 5
c5: 37
c0: 62
skew: 1.11
# Murphy_E = 8.606e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1350140 hash collisions in 14385664 relations (13969800 unique)
Msieve: matrix is 391186 x 391412 (131.0 MB)

Sieving start time : 2022/07/01 06:28:10
Sieving end time  : 2022/07/01 07:10:06

Total sieving time: 0hrs 41min 56secs.

Total relation processing time: 0hrs 2min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 35sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

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

37×10156+629

c114

name 名前Eric Jeancolas
date 日付July 6, 2022 15:00:42 UTC 2022 年 7 月 7 日 (木) 0 時 0 分 42 秒 (日本時間)
composite number 合成数
833338889935747388105842956562843602609415823651785472032757736812761351097255501598064924403779364678476144703941<114>
prime factors 素因数
7330442491344298686794955935508197440834433<43>
113681935424736537507718807295229673120303520228467400843614280375902277<72>
factorization results 素因数分解の結果
833338889935747388105842956562843602609415823651785472032757736812761351097255501598064924403779364678476144703941=7330442491344298686794955935508197440834433*113681935424736537507718807295229673120303520228467400843614280375902277

cado polynomial
n: 833338889935747388105842956562843602609415823651785472032757736812761351097255501598064924403779364678476144703941
skew: 0.70
type: snfs
c0: 31
c5: 185
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 185*x^5+31
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2900000
tasks.lim1 = 2900000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 113681935424736537507718807295229673120303520228467400843614280375902277 7330442491344298686794955935508197440834433
Info:Square Root: Total cpu/real time for sqrt: 51.96/16.4114
Info:Filtering - Singleton removal: Total cpu/real time for purge: 91.77/81.4382
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11661532
Info:Lattice Sieving: Average J: 1894.39 for 184364 special-q, max bucket fill -bkmult 1.0,1s:1.228950
Info:Lattice Sieving: Total time: 23426.8s
Info:Generate Free Relations: Total cpu/real time for freerel: 60.19/18.4349
Info:Linear Algebra: Total cpu/real time for bwc: 1096.62/286.57
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 664.17, WCT time 171.58, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8960 iterations)
Info:Linear Algebra: Lingen CPU time 44.47, WCT time 11.35
Info:Linear Algebra: Mksol: CPU time 363.62,  WCT time 93.71, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4480 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.5/49.5495
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 49.5s
Info:Filtering - Merging: Merged matrix has 284019 rows and total weight 48464247 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 56.97/16.0025
Info:Filtering - Merging: Total cpu/real time for replay: 8.87/7.42026
Info:Generate Factor Base: Total cpu/real time for makefb: 1.26/0.690694
Info:Quadratic Characters: Total cpu/real time for characters: 8.87/3.50505
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.81/86.7254
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 76.5s
Info:Square Root: Total cpu/real time for sqrt: 51.96/16.4114
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 44189.4/12441.3
Info:root: Cleaning up computation data in /tmp/cado.b9obzuvu
113681935424736537507718807295229673120303520228467400843614280375902277 7330442491344298686794955935508197440834433
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)

37×10159+629

c154

name 名前Bob Backstrom
date 日付June 30, 2022 19:44:44 UTC 2022 年 7 月 1 日 (金) 4 時 44 分 44 秒 (日本時間)
composite number 合成数
1102474268101599499464763641137593734894985154439064965948145450562461513964147655987743346612486909607896385535132368721982627746822088125595298859022563<154>
prime factors 素因数
970572208236738507453090394356845841345580484856965077620931<60>
1135901336083474494611111590364279303337700992644563713653629536816575156991065475665408056673<94>
factorization results 素因数分解の結果
Number: n
N=1102474268101599499464763641137593734894985154439064965948145450562461513964147655987743346612486909607896385535132368721982627746822088125595298859022563  ( 154 digits)
SNFS difficulty: 160 digits.
Divisors found:

Fri Jul  1 05:40:50 2022  p60 factor: 970572208236738507453090394356845841345580484856965077620931
Fri Jul  1 05:40:50 2022  p94 factor: 1135901336083474494611111590364279303337700992644563713653629536816575156991065475665408056673
Fri Jul  1 05:40:50 2022  elapsed time 00:07:08 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 37x10^159+62 = 41(158)8
#
n: 1102474268101599499464763641137593734894985154439064965948145450562461513964147655987743346612486909607896385535132368721982627746822088125595298859022563
m: 50000000000000000000000000000000
deg: 5
c5: 296
c0: 155
skew: 0.88
# Murphy_E = 5.246e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1065863 hash collisions in 12503675 relations (12247208 unique)
Msieve: matrix is 480543 x 480770 (165.4 MB)

Sieving start time : 2022/07/01 04:43:06
Sieving end time  : 2022/07/01 05:33:17

Total sieving time: 0hrs 50min 11secs.

Total relation processing time: 0hrs 3min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 30sec.

Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

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

37×10160+629

c128

name 名前Eric Jeancolas
date 日付July 7, 2022 16:47:14 UTC 2022 年 7 月 8 日 (金) 1 時 47 分 14 秒 (日本時間)
composite number 合成数
66644723178637172293543688904979623538431192985317396563230855859884734823088895645857158048876508542287204818950532796258936347<128>
prime factors 素因数
13162024115271483162034774861842558789371511107<47>
5063409897670024270719553753355527508763251101814986827003826220571607526993653321<82>
factorization results 素因数分解の結果
66644723178637172293543688904979623538431192985317396563230855859884734823088895645857158048876508542287204818950532796258936347=13162024115271483162034774861842558789371511107*5063409897670024270719553753355527508763251101814986827003826220571607526993653321

cado polynomial
n: 66644723178637172293543688904979623538431192985317396563230855859884734823088895645857158048876508542287204818950532796258936347
skew: 1.11
type: snfs
c0: 62
c5: 37
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 37*x^5+62
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3500000
tasks.lim1 = 3500000
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: 5063409897670024270719553753355527508763251101814986827003826220571607526993653321 13162024115271483162034774861842558789371511107
Info:Square Root: Total cpu/real time for sqrt: 76.73/24.2329
Info:Filtering - Singleton removal: Total cpu/real time for purge: 76.15/71.5665
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11649742
Info:Lattice Sieving: Average J: 1893.96 for 238875 special-q, max bucket fill -bkmult 1.0,1s:1.243550
Info:Lattice Sieving: Total time: 29851.6s
Info:Linear Algebra: Total cpu/real time for bwc: 2383.28/625.19
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1472.69, WCT time 382.99, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Linear Algebra: Lingen CPU time 66.8, WCT time 17.05
Info:Linear Algebra: Mksol: CPU time 806.71,  WCT time 209.68, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6400 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 58.97/17.4787
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.83/49.0227
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.9s
Info:Filtering - Merging: Merged matrix has 408207 rows and total weight 69466999 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 84.72/23.8952
Info:Filtering - Merging: Total cpu/real time for replay: 13.35/11.1889
Info:Generate Factor Base: Total cpu/real time for makefb: 1.51/0.829601
Info:Quadratic Characters: Total cpu/real time for characters: 13.32/5.2657
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 105.15/89.0959
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 79.3s
Info:Square Root: Total cpu/real time for sqrt: 76.73/24.2329
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 57423.6/16009
Info:root: Cleaning up computation data in /tmp/cado.uhj0xx3r
5063409897670024270719553753355527508763251101814986827003826220571607526993653321 13162024115271483162034774861842558789371511107
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)

37×10162+629

c152

name 名前Bob Backstrom
date 日付July 2, 2022 11:29:19 UTC 2022 年 7 月 2 日 (土) 20 時 29 分 19 秒 (日本時間)
composite number 合成数
91573196824475444741237991607732075153917490086500549926892368286028087029669035263479977498341240056156638868898451359776469959604835474083932908132943<152>
prime factors 素因数
17749230381205257377903558922708758241992046545773793<53>
5159277042312929177346216955686881285746681624719691214250941800299266427791665687889781068807861551<100>
factorization results 素因数分解の結果
Number: n
N=91573196824475444741237991607732075153917490086500549926892368286028087029669035263479977498341240056156638868898451359776469959604835474083932908132943  ( 152 digits)
SNFS difficulty: 163 digits.
Divisors found:

Sat Jul  2 21:25:18 2022  p53 factor: 17749230381205257377903558922708758241992046545773793
Sat Jul  2 21:25:18 2022  p100 factor: 5159277042312929177346216955686881285746681624719691214250941800299266427791665687889781068807861551
Sat Jul  2 21:25:18 2022  elapsed time 00:07:33 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 37x10^162+62 = 41(161)8
#
n: 91573196824475444741237991607732075153917490086500549926892368286028087029669035263479977498341240056156638868898451359776469959604835474083932908132943
m: 100000000000000000000000000000000
deg: 5
c5: 1850
c0: 31
skew: 0.44
# Murphy_E = 4.082e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1292410 hash collisions in 13335633 relations (12882113 unique)
Msieve: matrix is 522972 x 523200 (180.3 MB)

Sieving start time : 2022/07/02 20:25:46
Sieving end time  : 2022/07/02 21:17:31

Total sieving time: 0hrs 51min 45secs.

Total relation processing time: 0hrs 3min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 34sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
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)

37×10164+629

c126

name 名前Eric Jeancolas
date 日付July 8, 2022 01:58:50 UTC 2022 年 7 月 8 日 (金) 10 時 58 分 50 秒 (日本時間)
composite number 合成数
160994687959705651036516082906878580628852187600509298073605032113461323084020572203232833305428152970579173649694046247203227<126>
prime factors 素因数
6130499271148994205023002695248692927365116541816823<52>
26261268591510917121162539014897059674488181862131821372002821738980084349<74>
factorization results 素因数分解の結果
160994687959705651036516082906878580628852187600509298073605032113461323084020572203232833305428152970579173649694046247203227=6130499271148994205023002695248692927365116541816823*26261268591510917121162539014897059674488181862131821372002821738980084349

cado polynomial
n: 160994687959705651036516082906878580628852187600509298073605032113461323084020572203232833305428152970579173649694046247203227
skew: 0.88
type: snfs
c0: 155
c5: 296
Y0: 500000000000000000000000000000000
Y1: -1
# f(x) = 296*x^5+155
# g(x) = -x+500000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4100000
tasks.lim1 = 4100000
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: 26261268591510917121162539014897059674488181862131821372002821738980084349 6130499271148994205023002695248692927365116541816823
Info:Square Root: Total cpu/real time for sqrt: 206.75/62.9766
Info:Filtering - Singleton removal: Total cpu/real time for purge: 66.47/66.0903
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11629364
Info:Lattice Sieving: Average J: 1893.46 for 353380 special-q, max bucket fill -bkmult 1.0,1s:1.256930
Info:Lattice Sieving: Total time: 44164.9s
Info:Linear Algebra: Total cpu/real time for bwc: 4062.52/1052.78
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2530.95, WCT time 650.56, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16640 iterations)
Info:Linear Algebra: Lingen CPU time 95.33, WCT time 24.2
Info:Linear Algebra: Mksol: CPU time 1386.62,  WCT time 357.18, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8320 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.3/17.6213
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.87/51.2354
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.1s
Info:Filtering - Merging: Merged matrix has 531127 rows and total weight 90575502 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 112.65/31.7817
Info:Filtering - Merging: Total cpu/real time for replay: 17.91/14.9683
Info:Generate Factor Base: Total cpu/real time for makefb: 1.79/0.977628
Info:Quadratic Characters: Total cpu/real time for characters: 17.3/6.90171
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.73/90.2418
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 80.1s
Info:Square Root: Total cpu/real time for sqrt: 206.75/62.9766
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 86066.2/23649.9
Info:root: Cleaning up computation data in /tmp/cado.q_w649it
26261268591510917121162539014897059674488181862131821372002821738980084349 6130499271148994205023002695248692927365116541816823
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)

37×10165+629

c129

name 名前Eric Jeancolas
date 日付July 8, 2022 02:10:49 UTC 2022 年 7 月 8 日 (金) 11 時 10 分 49 秒 (日本時間)
composite number 合成数
133483320112270650742274114967205140114265528394365396109601958608947500412501838446101678246646107039374555424254689364959673323<129>
prime factors 素因数
13376098341257485946186521398080221457076370113128377379117107<62>
9979241831719509800291300208928982078894272832980222915683044144489<67>
factorization results 素因数分解の結果
133483320112270650742274114967205140114265528394365396109601958608947500412501838446101678246646107039374555424254689364959673323=13376098341257485946186521398080221457076370113128377379117107*9979241831719509800291300208928982078894272832980222915683044144489

cado polynomial
n: 133483320112270650742274114967205140114265528394365396109601958608947500412501838446101678246646107039374555424254689364959673323
skew: 1.11
type: snfs
c0: 62
c5: 37
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 37*x^5+62
# g(x) = -x+1000000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 9979241831719509800291300208928982078894272832980222915683044144489 13376098341257485946186521398080221457076370113128377379117107
Info:Square Root: Total cpu/real time for sqrt: 190.79/60.1674
Info:Filtering - Singleton removal: Total cpu/real time for purge: 66.38/65.2126
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11633310
Info:Lattice Sieving: Average J: 1893.09 for 361290 special-q, max bucket fill -bkmult 1.0,1s:1.255500
Info:Lattice Sieving: Total time: 66437s
Info:Linear Algebra: Total cpu/real time for bwc: 4451.37/1145.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2761.36, WCT time 705.97, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (17152 iterations)
Info:Linear Algebra: Lingen CPU time 95.86, WCT time 24.31
Info:Linear Algebra: Mksol: CPU time 1512.79,  WCT time 386.15, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8704 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 61.17/32.9354
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.52/48.8172
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: 105.34/89.7295
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 80.30s
Info:Filtering - Merging: Merged matrix has 547232 rows and total weight 93277596 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 116.83/32.7611
Info:Filtering - Merging: Total cpu/real time for replay: 18.41/15.25
Info:Generate Factor Base: Total cpu/real time for makefb: 1.84/1.95844
Info:Quadratic Characters: Total cpu/real time for characters: 18/7.11859
Info:Square Root: Total cpu/real time for sqrt: 190.79/60.1674
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 128801/19403.8
Info:root: Cleaning up computation data in /tmp/cado._z76450s
9979241831719509800291300208928982078894272832980222915683044144489 13376098341257485946186521398080221457076370113128377379117107
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)

37×10166+629

c122

name 名前Eric Jeancolas
date 日付July 8, 2022 08:49:06 UTC 2022 年 7 月 8 日 (金) 17 時 49 分 6 秒 (日本時間)
composite number 合成数
18828485902058807343745761302542892611235098579876774800342673260761452427119669348844418222893992308297321367697416816537<122>
prime factors 素因数
21223828818555289574960076635750123441<38>
149794709612542366541839205021365542991<39>
5922365247461098886794229865236395438011190727<46>
factorization results 素因数分解の結果
18828485902058807343745761302542892611235098579876774800342673260761452427119669348844418222893992308297321367697416816537=21223828818555289574960076635750123441*149794709612542366541839205021365542991*5922365247461098886794229865236395438011190727

cado polynomial
n: 18828485902058807343745761302542892611235098579876774800342673260761452427119669348844418222893992308297321367697416816537
skew: 0.70
type: snfs
c0: 31
c5: 185
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 185*x^5+31
# 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: 149794709612542366541839205021365542991 21223828818555289574960076635750123441 5922365247461098886794229865236395438011190727
Info:Square Root: Total cpu/real time for sqrt: 172.09/53.0744
Info:Quadratic Characters: Total cpu/real time for characters: 16.12/6.36469
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.94/89.8407
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 80.7s
Info:Square Root: Total cpu/real time for sqrt: 172.09/53.0744
Info:Linear Algebra: Total cpu/real time for bwc: 3649.17/940.14
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2279.35, WCT time 583.5, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15616 iterations)
Info:Linear Algebra: Lingen CPU time 78.39, WCT time 19.99
Info:Linear Algebra: Mksol: CPU time 1244.79,  WCT time 317.63, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7808 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 69.84/69.0122
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11652371
Info:Lattice Sieving: Average J: 1893.02 for 313578 special-q, max bucket fill -bkmult 1.0,1s:1.242250
Info:Lattice Sieving: Total time: 40923s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.46/17.0708
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.83/50.911
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 50.8s
Info:Filtering - Merging: Merged matrix has 498827 rows and total weight 85147948 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 105.44/29.6267
Info:Filtering - Merging: Total cpu/real time for replay: 16.55/13.8387
Info:Generate Factor Base: Total cpu/real time for makefb: 1.85/1.01407
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 79746.3/21905.4
Info:root: Cleaning up computation data in /tmp/cado.i2sa7vzm
149794709612542366541839205021365542991 21223828818555289574960076635750123441 5922365247461098886794229865236395438011190727
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)

37×10169+629

c116

name 名前Eric Jeancolas
date 日付July 4, 2022 06:19:38 UTC 2022 年 7 月 4 日 (月) 15 時 19 分 38 秒 (日本時間)
composite number 合成数
87160656502581702059037319411121392806050457598295719254007815230211502816734599832389359687749239734700924571843539<116>
prime factors 素因数
5854962956411819325376857590677360237657<40>
14886628173647338254385661215842398595764543652110519325708834001652814652427<77>
factorization results 素因数分解の結果
87160656502581702059037319411121392806050457598295719254007815230211502816734599832389359687749239734700924571843539=5854962956411819325376857590677360237657*14886628173647338254385661215842398595764543652110519325708834001652814652427

cado polynomial
n: 87160656502581702059037319411121392806050457598295719254007815230211502816734599832389359687749239734700924571843539
skew: 17970.644
c0: 28319959823706095784885228
c1: -20081738219023315720738
c2: -3337738035456680991
c3: 144134130111103
c4: 4075546188
c5: 40320
Y0: -26240339948750453520443
Y1: 10892003418504091
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.009e-06
# f(x) = 40320*x^5+4075546188*x^4+144134130111103*x^3-3337738035456680991*x^2-20081738219023315720738*x+28319959823706095784885228
# g(x) = 10892003418504091*x-26240339948750453520443

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
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: 14886628173647338254385661215842398595764543652110519325708834001652814652427 5854962956411819325376857590677360237657
Info:Square Root: Total cpu/real time for sqrt: 140.95/42.073
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21735/34.150/41.399/46.470/1.081
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17104/32.920/36.647/41.830/0.844
Info:Polynomial Selection (size optimized): Total time: 1772.15
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 127.74/138.522
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 102.30000000000001s
Info:Quadratic Characters: Total cpu/real time for characters: 16/6.24259
Info:Square Root: Total cpu/real time for sqrt: 140.95/42.073
Info:Linear Algebra: Total cpu/real time for bwc: 2678.59/691.83
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1660.42, WCT time 425.83, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14080 iterations)
Info:Linear Algebra: Lingen CPU time 68.86, WCT time 17.58
Info:Linear Algebra: Mksol: CPU time 911.29,  WCT time 232.93, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7040 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 100.04/115.476
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7383801
Info:Lattice Sieving: Average J: 1890.48 for 169443 special-q, max bucket fill -bkmult 1.0,1s:1.263110
Info:Lattice Sieving: Total time: 18868.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.2/1.12518
Info:Generate Free Relations: Total cpu/real time for freerel: 63.19/16.7549
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 30.09/31.974
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 31.099999999999998s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 358.49
Info:Polynomial Selection (root optimized): Rootsieve time: 357.37
Info:Filtering - Merging: Merged matrix has 446769 rows and total weight 69517069 (155.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 72.01/21.2084
Info:Filtering - Merging: Total cpu/real time for replay: 14.86/12.1215
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 39989.5/10955.7
Info:root: Cleaning up computation data in /tmp/cado.cy7jzxrq
14886628173647338254385661215842398595764543652110519325708834001652814652427 5854962956411819325376857590677360237657
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 10:27:04 UTC 2022 年 7 月 2 日 (土) 19 時 27 分 4 秒 (日本時間)

37×10172+629

c151

name 名前Bob Backstrom
date 日付July 7, 2022 16:35:30 UTC 2022 年 7 月 8 日 (金) 1 時 35 分 30 秒 (日本時間)
composite number 合成数
1553577581477057842343833569147964723454827253000176320719420076163989784672493082994612675418496134966002977327801045267619211808365370637304710450013<151>
prime factors 素因数
2192359477332597845011895681182593680234549337192047<52>
708632684347580713208390197080223967728093290679071780080724542921752330599643233398299085231988979<99>
factorization results 素因数分解の結果
Number: n
N=1553577581477057842343833569147964723454827253000176320719420076163989784672493082994612675418496134966002977327801045267619211808365370637304710450013  ( 151 digits)
SNFS difficulty: 173 digits.
Divisors found:

Fri Jul  8 02:31:37 2022  p52 factor: 2192359477332597845011895681182593680234549337192047
Fri Jul  8 02:31:37 2022  p99 factor: 708632684347580713208390197080223967728093290679071780080724542921752330599643233398299085231988979
Fri Jul  8 02:31:37 2022  elapsed time 00:16:10 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 37x10^172+62 = 41(171)8
#
n: 1553577581477057842343833569147964723454827253000176320719420076163989784672493082994612675418496134966002977327801045267619211808365370637304710450013
m: 10000000000000000000000000000000000
deg: 5
c5: 1850
c0: 31
skew: 0.44
# Murphy_E = 1.649e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1186137 hash collisions in 11980163 relations (11525208 unique)
Msieve: matrix is 876170 x 876395 (306.3 MB)

Sieving start time : 2022/07/08 00:56:05
Sieving end time  : 2022/07/08 02:15:13

Total sieving time: 1hrs 19min 8secs.

Total relation processing time: 0hrs 11min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 7sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    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)

37×10177+629

c125

name 名前Eric Jeancolas
date 日付July 8, 2022 20:11:26 UTC 2022 年 7 月 9 日 (土) 5 時 11 分 26 秒 (日本時間)
composite number 合成数
26204088093790160180582671556915055791240626969828754947870894734781575013642158870463272187523504116711800796736067776978797<125>
prime factors 素因数
973406117586423689382823492292301149171<39>
26919995282918113435900697328589643672516756970436320474258527566430764394537116792607<86>
factorization results 素因数分解の結果
26204088093790160180582671556915055791240626969828754947870894734781575013642158870463272187523504116711800796736067776978797=973406117586423689382823492292301149171*26919995282918113435900697328589643672516756970436320474258527566430764394537116792607

cado polynomial
n: 26204088093790160180582671556915055791240626969828754947870894734781575013642158870463272187523504116711800796736067776978797
skew: 87452.498
c0: 400856855378758417154006580800
c1: -6672173674534178431978101
c2: -355367416034928087460
c3: -43842202254009
c4: 1009181906
c5: 90480
Y0: -895393698232155036860646
Y1: 972796602921570619
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.558e-07
# f(x) = 90480*x^5+1009181906*x^4-43842202254009*x^3-355367416034928087460*x^2-6672173674534178431978101*x+400856855378758417154006580800
# g(x) = 972796602921570619*x-895393698232155036860646

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

cado log (extracts)
Info:Square Root: Factors: 26919995282918113435900697328589643672516756970436320474258527566430764394537116792607 973406117586423689382823492292301149171
Info:Square Root: Total cpu/real time for sqrt: 292.25/87.8163
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 144.58/135.294
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 113.99999999999999s
Info:Square Root: Total cpu/real time for sqrt: 292.25/87.8163
Info:Filtering - Singleton removal: Total cpu/real time for purge: 73.36/85.1303
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11764300
Info:Lattice Sieving: Average J: 3773.87 for 204184 special-q, max bucket fill -bkmult 1.0,1s:1.210990
Info:Lattice Sieving: Total time: 60730.4s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.56/2.30144
Info:Linear Algebra: Total cpu/real time for bwc: 9510.65/2459.96
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5986.43, WCT time 1541.16, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25088 iterations)
Info:Linear Algebra: Lingen CPU time 144.71, WCT time 36.88
Info:Linear Algebra: Mksol: CPU time 3255.87,  WCT time 836.9, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 128.08/33.8594
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.45/57.7009
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2719.04
Info:Polynomial Selection (root optimized): Rootsieve time: 2716.66
Info:Filtering - Merging: Merged matrix has 797001 rows and total weight 136075523 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 166.17/47.9862
Info:Filtering - Merging: Total cpu/real time for replay: 30.22/24.9403
Info:Quadratic Characters: Total cpu/real time for characters: 30.09/12.0067
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): 20121/37.120/44.329/49.180/0.874
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15891/36.240/39.705/45.090/0.965
Info:Polynomial Selection (size optimized): Total time: 1966.65
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 127802/34702.1
Info:root: Cleaning up computation data in /tmp/cado.m01opkyo
26919995282918113435900697328589643672516756970436320474258527566430764394537116792607 973406117586423689382823492292301149171
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)

37×10178+629

c170

name 名前Bob Backstrom
date 日付July 9, 2022 06:06:59 UTC 2022 年 7 月 9 日 (土) 15 時 6 分 59 秒 (日本時間)
composite number 合成数
99021182939562458995562316443596857374458590508941759210218349346394062506173268241132485936062868940851062863376931080934989032384338883998928488032663532053170031152487<170>
prime factors 素因数
11569507573519257254707992424429715212034236740781570758891574640569<68>
8558807046049740836731729923432670519902380831455094009814766808981351398959178530305890922064329262623<103>
factorization results 素因数分解の結果
Number: n
N=99021182939562458995562316443596857374458590508941759210218349346394062506173268241132485936062868940851062863376931080934989032384338883998928488032663532053170031152487  ( 170 digits)
SNFS difficulty: 179 digits.
Divisors found:

Sat Jul  9 14:50:17 2022  p68 factor: 11569507573519257254707992424429715212034236740781570758891574640569
Sat Jul  9 14:50:17 2022  p103 factor: 8558807046049740836731729923432670519902380831455094009814766808981351398959178530305890922064329262623
Sat Jul  9 14:50:17 2022  elapsed time 00:35:02 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 37x10^178+62 = 41(177)8
#
n: 99021182939562458995562316443596857374458590508941759210218349346394062506173268241132485936062868940851062863376931080934989032384338883998928488032663532053170031152487
m: 100000000000000000000000000000000000
deg: 5
c5: 18500
c0: 31
skew: 0.28
# Murphy_E = 8.276e-11
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 30600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1366315 hash collisions in 11860280 relations (11170834 unique)
Msieve: matrix is 1260393 x 1260618 (440.9 MB)

Sieving start time : 2022/07/09 11:05:30
Sieving end time  : 2022/07/09 14:14:48

Total sieving time: 3hrs 9min 18secs.

Total relation processing time: 0hrs 27min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 53sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,6800000,6800000,27,27,52,52,2.4,2.4,100000
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)

37×10179+629

c163

name 名前Bob Backstrom
date 日付July 9, 2022 11:12:22 UTC 2022 年 7 月 9 日 (土) 20 時 12 分 22 秒 (日本時間)
composite number 合成数
7070680797082464017756983847870027299387226699301421355927051939688464502089230117249014710727963018904169692879452513948847304147848265770904918038921679984821399<163>
prime factors 素因数
1592091040892095421359988800700474590227920400687208163<55>
4441128437680645243019796070336032495913260785781287227885470161721614293657738404045709313021331438237488573<109>
factorization results 素因数分解の結果
Number: n
N=7070680797082464017756983847870027299387226699301421355927051939688464502089230117249014710727963018904169692879452513948847304147848265770904918038921679984821399  ( 163 digits)
SNFS difficulty: 180 digits.
Divisors found:

Sat Jul  9 21:08:54 2022  p55 factor: 1592091040892095421359988800700474590227920400687208163
Sat Jul  9 21:08:54 2022  p109 factor: 4441128437680645243019796070336032495913260785781287227885470161721614293657738404045709313021331438237488573
Sat Jul  9 21:08:54 2022  elapsed time 00:28:09 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 37x10^179+62 = 41(178)8
#
n: 7070680797082464017756983847870027299387226699301421355927051939688464502089230117249014710727963018904169692879452513948847304147848265770904918038921679984821399
m: 500000000000000000000000000000000000
deg: 5
c5: 296
c0: 155
skew: 0.88
# Murphy_E = 8.472e-11
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 946952 hash collisions in 11218029 relations (10990408 unique)
Msieve: matrix is 1165896 x 1166121 (410.3 MB)

Sieving start time : 2022/07/09 17:43:33
Sieving end time  : 2022/07/09 20:40:30

Total sieving time: 2hrs 56min 57secs.

Total relation processing time: 0hrs 23min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 36sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7300000,7300000,27,27,52,52,2.4,2.4,100000
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)

37×10180+629

c137

composite cofactor 合成数の残り
11141919970995896564584536748126539347315780487929398425533242882886789680051846057700095182464817361791360628279750383875348168627884061<137>

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 12:24:26 UTC 2022 年 7 月 12 日 (火) 21 時 24 分 26 秒 (日本時間)

37×10182+629

c124

name 名前ebina
date 日付June 30, 2022 10:11:05 UTC 2022 年 6 月 30 日 (木) 19 時 11 分 5 秒 (日本時間)
composite number 合成数
1836016808486505184719091217904745241036510240716251760067057084395800290043591694373950571835470649962458218080974479972511<124>
prime factors 素因数
22609794438125393634354710489709153984670344476813911<53>
81204489209798036408452762668997595449353847845768727735582668685092601<71>
factorization results 素因数分解の結果
Number: 41118_182
N = 1836016808486505184719091217904745241036510240716251760067057084395800290043591694373950571835470649962458218080974479972511 (124 digits)
Divisors found:
r1=22609794438125393634354710489709153984670344476813911 (pp53)
r2=81204489209798036408452762668997595449353847845768727735582668685092601 (pp71)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 7.28 hours.
Factorization parameters were as follows:
n: 1836016808486505184719091217904745241036510240716251760067057084395800290043591694373950571835470649962458218080974479972511
# norm 8.558315e-12 alpha -6.649395 e 1.820e-10 rroots 5
skew: 566105.87
c0: -1848697350957648646556627549328
c1: 67194881158629126457254668
c2: 638054918556354592060
c3: -1164801811444875
c4: -1703536782
c5: 432
Y0: -1335608454689845590215605
Y1: 2255296500803
type: gnfs
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 11090672
Relations: 1490568 relations
Pruned matrix : 861232 x 861465
Polynomial selection time: 0.07 hours.
Total sieving time: 6.47 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.36 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,5200000,5200000,27,27,53,53,2.5,2.5,100000
total time: 7.28 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 2.19GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

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)

37×10183+629

c157

name 名前Ignacio Santos
date 日付July 10, 2022 11:16:09 UTC 2022 年 7 月 10 日 (日) 20 時 16 分 9 秒 (日本時間)
composite number 合成数
2757204342053973381080719499345971026433254710103022474883307024286727420970931933526535680208756844768373929318465322653639764889817887352681773476320705039<157>
prime factors 素因数
29174457694450975060122338861130594973<38>
composite cofactor 合成数の残り
94507475372143685773655996905202304322536588725394362544415887188643900638034260366254085076917402870334987633907884443<119>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4266971365
Step 1 took 4953ms
Step 2 took 2938ms
********** Factor found in step 2: 29174457694450975060122338861130594973
Found prime factor of 38 digits: 29174457694450975060122338861130594973
Composite cofactor 94507475372143685773655996905202304322536588725394362544415887188643900638034260366254085076917402870334987633907884443 has 119 digits
 
software ソフトウェア
GMP-ECM

c119

name 名前Eric Jeancolas
date 日付July 12, 2022 02:57:20 UTC 2022 年 7 月 12 日 (火) 11 時 57 分 20 秒 (日本時間)
composite number 合成数
94507475372143685773655996905202304322536588725394362544415887188643900638034260366254085076917402870334987633907884443<119>
prime factors 素因数
239994333538567840807246877597772366578410724983968262838539<60>
393790444877133061911313011312383051747337623647736867951537<60>
factorization results 素因数分解の結果
94507475372143685773655996905202304322536588725394362544415887188643900638034260366254085076917402870334987633907884443=239994333538567840807246877597772366578410724983968262838539*393790444877133061911313011312383051747337623647736867951537

cado polynomial
n: 94507475372143685773655996905202304322536588725394362544415887188643900638034260366254085076917402870334987633907884443
skew: 200955.558
c0: 101928823108406137870288565615
c1: -1271668050877838985809891
c2: -15446723486550646407
c3: 10898314788515
c4: -234670616
c5: 240
Y0: -210211178641980740763924
Y1: 8755645035070921
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.545e-06
# f(x) = 240*x^5-234670616*x^4+10898314788515*x^3-15446723486550646407*x^2-1271668050877838985809891*x+101928823108406137870288565615
# g(x) = 8755645035070921*x-210211178641980740763924

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

cado log (extracts)
Info:Square Root: Factors: 239994333538567840807246877597772366578410724983968262838539 393790444877133061911313011312383051747337623647736867951537
Info:Square Root: Total cpu/real time for sqrt: 163.84/119.01
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 139.65/171.791
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 159.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 49.98/64.33
Info:Linear Algebra: Total cpu/real time for bwc: 4763.69/3973.34
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2582.59, WCT time 2145.94, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (21248 iterations)
Info:Linear Algebra: Lingen CPU time 621.85, WCT time 528.61
Info:Linear Algebra: Mksol: CPU time 1494.33,  WCT time 1243.36, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (10752 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13440104
Info:Lattice Sieving: Average J: 1935.13 for 237916 special-q, max bucket fill -bkmult 1.0,1s:1.300730
Info:Lattice Sieving: Total time: 57883.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.13/3.95787
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1678.62
Info:Polynomial Selection (root optimized): Rootsieve time: 1676.09
Info:Generate Free Relations: Total cpu/real time for freerel: 126.98/80.6243
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 56.2/90.4045
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 90.2s
Info:Filtering - Merging: Merged matrix has 677664 rows and total weight 68239007 (100.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 50.27/20.7491
Info:Filtering - Merging: Total cpu/real time for replay: 16.8/15.0618
Info:Quadratic Characters: Total cpu/real time for characters: 21.47/17.0589
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20040/35.550/42.511/47.350/1.051
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15949/33.960/37.611/42.920/0.838
Info:Polynomial Selection (size optimized): Total time: 2316.41
Info:Square Root: Total cpu/real time for sqrt: 163.84/119.01
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 64081.7/35772.1
Info:root: Cleaning up computation data in /tmp/cado.g_jphl00
239994333538567840807246877597772366578410724983968262838539 393790444877133061911313011312383051747337623647736867951537
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)

37×10186+629

c161

composite cofactor 合成数の残り
24595252755105349188156412794629994984974500629724324628792658764651478442709147278394023428399814771052052019781650854016353116758670834808001816715649092790959<161>

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 10:02:39 UTC 2022 年 7 月 10 日 (日) 19 時 2 分 39 秒 (日本時間)

37×10189+629

c90

name 名前Eric Jeancolas
date 日付June 29, 2022 16:15:43 UTC 2022 年 6 月 30 日 (木) 1 時 15 分 43 秒 (日本時間)
composite number 合成数
829836687666512104898505811627275423696949481924804968004758062357581378336284178173366783<90>
prime factors 素因数
46459259314890916055197602164543776362751177<44>
17861599601535974651676865482938717295170489479<47>
factorization results 素因数分解の結果
Wed Jun 29 17:12:24 2022  Msieve v. 1.53 (SVN 1005)
Wed Jun 29 17:12:24 2022  random seeds: 49587cc0 051589ea
Wed Jun 29 17:12:24 2022  factoring 829836687666512104898505811627275423696949481924804968004758062357581378336284178173366783 (90 digits)
Wed Jun 29 17:12:25 2022  searching for 15-digit factors
Wed Jun 29 17:12:25 2022  commencing quadratic sieve (90-digit input)
Wed Jun 29 17:12:25 2022  using multiplier of 7
Wed Jun 29 17:12:25 2022  using generic 32kb sieve core
Wed Jun 29 17:12:25 2022  sieve interval: 36 blocks of size 32768
Wed Jun 29 17:12:25 2022  processing polynomials in batches of 6
Wed Jun 29 17:12:25 2022  using a sieve bound of 1616749 (61176 primes)
Wed Jun 29 17:12:25 2022  using large prime bound of 135806916 (27 bits)
Wed Jun 29 17:12:25 2022  using double large prime bound of 435772071397992 (42-49 bits)
Wed Jun 29 17:12:25 2022  using trial factoring cutoff of 49 bits
Wed Jun 29 17:12:25 2022  polynomial 'A' values have 12 factors
Wed Jun 29 18:12:07 2022  61479 relations (16392 full + 45087 combined from 665720 partial), need 61272
Wed Jun 29 18:12:07 2022  begin with 682112 relations
Wed Jun 29 18:12:07 2022  reduce to 150180 relations in 10 passes
Wed Jun 29 18:12:07 2022  attempting to read 150180 relations
Wed Jun 29 18:12:09 2022  recovered 150180 relations
Wed Jun 29 18:12:09 2022  recovered 129416 polynomials
Wed Jun 29 18:12:09 2022  attempting to build 61479 cycles
Wed Jun 29 18:12:09 2022  found 61479 cycles in 5 passes
Wed Jun 29 18:12:09 2022  distribution of cycle lengths:
Wed Jun 29 18:12:09 2022     length 1 : 16392
Wed Jun 29 18:12:09 2022     length 2 : 11854
Wed Jun 29 18:12:09 2022     length 3 : 10742
Wed Jun 29 18:12:09 2022     length 4 : 8295
Wed Jun 29 18:12:09 2022     length 5 : 5657
Wed Jun 29 18:12:09 2022     length 6 : 3697
Wed Jun 29 18:12:09 2022     length 7 : 2168
Wed Jun 29 18:12:09 2022     length 9+: 2674
Wed Jun 29 18:12:09 2022  largest cycle: 18 relations
Wed Jun 29 18:12:09 2022  matrix is 61176 x 61479 (16.0 MB) with weight 3706517 (60.29/col)
Wed Jun 29 18:12:09 2022  sparse part has weight 3706517 (60.29/col)
Wed Jun 29 18:12:09 2022  filtering completed in 3 passes
Wed Jun 29 18:12:09 2022  matrix is 57294 x 57358 (15.0 MB) with weight 3473136 (60.55/col)
Wed Jun 29 18:12:09 2022  sparse part has weight 3473136 (60.55/col)
Wed Jun 29 18:12:10 2022  saving the first 48 matrix rows for later
Wed Jun 29 18:12:10 2022  matrix includes 64 packed rows
Wed Jun 29 18:12:10 2022  matrix is 57246 x 57358 (9.9 MB) with weight 2747073 (47.89/col)
Wed Jun 29 18:12:10 2022  sparse part has weight 2025644 (35.32/col)
Wed Jun 29 18:12:10 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Wed Jun 29 18:12:10 2022  commencing Lanczos iteration
Wed Jun 29 18:12:10 2022  memory use: 6.1 MB
Wed Jun 29 18:12:20 2022  lanczos halted after 907 iterations (dim = 57244)
Wed Jun 29 18:12:20 2022  recovered 17 nontrivial dependencies
Wed Jun 29 18:12:21 2022  p44 factor: 46459259314890916055197602164543776362751177
Wed Jun 29 18:12:21 2022  p47 factor: 17861599601535974651676865482938717295170489479
Wed Jun 29 18:12:21 2022  elapsed time 00:59:57
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)

37×10190+629

c100

name 名前Dmitry Domanov
date 日付June 30, 2022 09:13:49 UTC 2022 年 6 月 30 日 (木) 18 時 13 分 49 秒 (日本時間)
composite number 合成数
6672077989118323414928391373886223225077125318517658451465869219140969754206963572021474082927131103<100>
prime factors 素因数
6513253487225746013220377043380229555800587<43>
1024384818156406051485541053969021848310206286656367183869<58>
factorization results 素因数分解の結果
N=6672077989118323414928391373886223225077125318517658451465869219140969754206963572021474082927131103
  ( 100 digits)
Divisors found:
p43 factor: 6513253487225746013220377043380229555800587
p58 factor: 1024384818156406051485541053969021848310206286656367183869
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.73 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 6672077989118323414928391373886223225077125318517658451465869219140969754206963572021474082927131103
skew: 641505.95
c0: -81564475692412770791956209
c1: 4543965487259739581294
c2: 11190814629885301
c3: -15165875602
c4: 9240
Y0: -921828418341909061327142
Y1: 14519215208879
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [900000, 1250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 181336 x 181564
Total sieving time: 1.66 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,99,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,52,52,2.5,2.5,100000
total time: 1.73 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)

37×10191+629

c118

name 名前Eric Jeancolas
date 日付July 4, 2022 08:15:05 UTC 2022 年 7 月 4 日 (月) 17 時 15 分 5 秒 (日本時間)
composite number 合成数
5112555495635097919980805038983514092336697384749286117551766479911899756015002435576026846161622732298553936643613173<118>
prime factors 素因数
1481039019137748874377240157608846491741257519119990233<55>
3452005942835722133672995878139763497504198047668234380143757181<64>
factorization results 素因数分解の結果
5112555495635097919980805038983514092336697384749286117551766479911899756015002435576026846161622732298553936643613173=1481039019137748874377240157608846491741257519119990233*3452005942835722133672995878139763497504198047668234380143757181

cado polynomial
n: 5112555495635097919980805038983514092336697384749286117551766479911899756015002435576026846161622732298553936643613173
skew: 35819.129
c0: -274477321253769983588289960
c1: -31527913939181360300331
c2: 968093530177152126
c3: -1037241863830
c4: 245708814
c5: 6720
Y0: -53105659275413517116207
Y1: 866171676041044013
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.811e-06
# f(x) = 6720*x^5+245708814*x^4-1037241863830*x^3+968093530177152126*x^2-31527913939181360300331*x-274477321253769983588289960
# g(x) = 866171676041044013*x-53105659275413517116207

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

cado log (extracts)
Info:Square Root: Factors: 3452005942835722133672995878139763497504198047668234380143757181 1481039019137748874377240157608846491741257519119990233
Info:Square Root: Total cpu/real time for sqrt: 131.71/40.2963
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 124.57/108.544
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 95.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 60.51/61.1498
Info:Linear Algebra: Total cpu/real time for bwc: 2747.44/713.92
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1644.48, WCT time 424.45, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (17152 iterations)
Info:Linear Algebra: Lingen CPU time 96.01, WCT time 24.35
Info:Linear Algebra: Mksol: CPU time 955.54,  WCT time 246.96, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8704 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13428432
Info:Lattice Sieving: Average J: 1890.99 for 193643 special-q, max bucket fill -bkmult 1.0,1s:1.251490
Info:Lattice Sieving: Total time: 24275.3s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.94/1.31936
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1094.98
Info:Polynomial Selection (root optimized): Rootsieve time: 1092.54
Info:Generate Free Relations: Total cpu/real time for freerel: 127.11/33.3973
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.33/58.6881
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 58.5s
Info:Filtering - Merging: Merged matrix has 545954 rows and total weight 54927725 (100.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 39.66/13.0027
Info:Filtering - Merging: Total cpu/real time for replay: 12.73/10.1132
Info:Quadratic Characters: Total cpu/real time for characters: 16.54/6.32151
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 19909/33.760/42.021/47.410/1.047
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15762/33.760/37.157/42.500/0.794
Info:Polynomial Selection (size optimized): Total time: 2368.71
Info:Square Root: Total cpu/real time for sqrt: 131.71/40.2963
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 51662.1/14299.3
Info:root: Cleaning up computation data in /tmp/cado.xijhzxpm
3452005942835722133672995878139763497504198047668234380143757181 1481039019137748874377240157608846491741257519119990233
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 10:41:32 UTC 2022 年 7 月 2 日 (土) 19 時 41 分 32 秒 (日本時間)

37×10192+629

c176

composite cofactor 合成数の残り
21023421915284735394399491920813410954354367985755755096442241134083198724468307114988670464454667130059069794528422290407154805123753700330460551978363497680736550419394458233<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)
403e62350Ignacio SantosJuly 12, 2022 14:17:06 UTC 2022 年 7 月 12 日 (火) 23 時 17 分 6 秒 (日本時間)

37×10194+629

c174

name 名前Bob Backstrom
date 日付July 19, 2022 23:14:00 UTC 2022 年 7 月 20 日 (水) 8 時 14 分 0 秒 (日本時間)
composite number 合成数
205552357639999554697262023509357759088118753263109199261502554627512591196722921926802277408326884540131898181918961574108263551637660135774477056559182982472199492403253469<174>
prime factors 素因数
66594791611286264001711350412768982331<38>
3086613121936148894442132007559163814942511220308630368643983819668025292514017228419473070225682981091259264650633850332667082066841799<136>
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 205552357639999554697262023509357759088118753263109199261502554627512591196722921926802277408326884540131898181918961574108263551637660135774477056559182982472199492403253469 (174 digits)
Using B1=18030000, B2=58560416470, polynomial Dickson(12), sigma=1:3236651895
Step 1 took 42916ms
Step 2 took 16216ms
********** Factor found in step 2: 66594791611286264001711350412768982331
Found prime factor of 38 digits: 66594791611286264001711350412768982331
Prime cofactor 3086613121936148894442132007559163814942511220308630368643983819668025292514017228419473070225682981091259264650633850332667082066841799 has 136 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)

37×10195+629

c196

name 名前Bob Backstrom
date 日付July 24, 2022 12:57:24 UTC 2022 年 7 月 24 日 (日) 21 時 57 分 24 秒 (日本時間)
composite number 合成数
2055555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<196>
prime factors 素因数
8147765450012211657007580930383071848887878402134303832804974646058329495289770145367889228713<94>
252284576448193503513244528462739068623330142579583486895086174587312207688693483503016757241743139343<102>
factorization results 素因数分解の結果
Number: n
N=2055555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559  ( 196 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sun Jul 24 22:51:20 2022  p94 factor: 8147765450012211657007580930383071848887878402134303832804974646058329495289770145367889228713
Sun Jul 24 22:51:20 2022  p102 factor: 252284576448193503513244528462739068623330142579583486895086174587312207688693483503016757241743139343
Sun Jul 24 22:51:20 2022  elapsed time 01:05:37 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 37x10^195+62 = 41(194)8
#
n: 2055555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559
m: 1000000000000000000000000000000000000000
deg: 5
c5: 37
c0: 62
skew: 1.11
# Murphy_E = 2.147e-11
type: snfs
lss: 1
rlim: 13200000
alim: 13200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13200000/13200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3492582 hash collisions in 28671502 relations (26790340 unique)
Msieve: matrix is 1671399 x 1671624 (583.0 MB)

Sieving start time : 2022/07/24 14:46:40
Sieving end time  : 2022/07/24 21:44:55

Total sieving time: 6hrs 58min 15secs.

Total relation processing time: 0hrs 55min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 7sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13200000,13200000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

ECM

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

37×10196+629

c135

composite cofactor 合成数の残り
256853412746267770513194822443944078609824601334029090743542508133294663367571739175875171408726202532197806318715706211983237497792347<135>

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 13:12:58 UTC 2022 年 7 月 2 日 (土) 22 時 12 分 58 秒 (日本時間)
4511e64480Ignacio SantosJuly 3, 2022 13:51:44 UTC 2022 年 7 月 3 日 (日) 22 時 51 分 44 秒 (日本時間)
5043e66454Ignacio SantosJuly 14, 2022 08:57:40 UTC 2022 年 7 月 14 日 (木) 17 時 57 分 40 秒 (日本時間)

37×10198+629

c160

composite cofactor 合成数の残り
8970074321528967894237396639911795330531686356161913586988014284661278805305389200075666295274924581474951743249238595795630111886094147178824744530192499999317<160>

ECM

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

37×10201+629

c163

composite cofactor 合成数の残り
1444356834641343540559653742074023298367775305946046702711628596663896970866577487444218403175972055643789881185490924281664406401148318586215096154400093515137229<163>

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)

37×10202+629

c161

composite cofactor 合成数の残り
18738071274857704368012822100461993018824095182215876429946975562338165464166103924208547838020607030819481944155409556990098932432129149423741779056866539737961<161>

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)

37×10205+629

c174

composite cofactor 合成数の残り
441824602727067131100272484504809877000572843078287001754097354391710235658050658986888618771863295344807913492092828688551007193585656630105512475272724939014449902034756217<174>

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)

37×10206+629

c132

name 名前Eric Jeancolas
date 日付July 14, 2022 05:27:59 UTC 2022 年 7 月 14 日 (木) 14 時 27 分 59 秒 (日本時間)
composite number 合成数
106619236927944136949032576414937570893563979357513851362669591881843807085542689440098309901610644742576142049570379314311797295943<132>
prime factors 素因数
3233582646424707703457753035706257835757015418728985289<55>
32972479316658378361777716691531218468170495378566081543340066440958375462287<77>
factorization results 素因数分解の結果
106619236927944136949032576414937570893563979357513851362669591881843807085542689440098309901610644742576142049570379314311797295943=3233582646424707703457753035706257835757015418728985289*32972479316658378361777716691531218468170495378566081543340066440958375462287

cado polynomial
n: 106619236927944136949032576414937570893563979357513851362669591881843807085542689440098309901610644742576142049570379314311797295943
skew: 27973.787
c0: 30841888692798667445580351600
c1: -524818656365685574582660
c2: -224707524539290633037
c3: -19390504321993985
c4: 188930994432
c5: -698880
Y0: -14358153428202382378469686
Y1: 8413357627
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.091e-07
# f(x) = -698880*x^5+188930994432*x^4-19390504321993985*x^3-224707524539290633037*x^2-524818656365685574582660*x+30841888692798667445580351600
# g(x) = 8413357627*x-14358153428202382378469686

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

cado log (extracts)
Info:Square Root: Factors: 3233582646424707703457753035706257835757015418728985289 32972479316658378361777716691531218468170495378566081543340066440958375462287
Info:Square Root: Total cpu/real time for sqrt: 815.33/244.005
Info:Linear Algebra: Total cpu/real time for bwc: 57815.5/14837.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 36994.18, WCT time 9453.21, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (58624 iterations)
Info:Linear Algebra: Lingen CPU time 373.59, WCT time 95.04
Info:Linear Algebra: Mksol: CPU time 20096.8,  WCT time 5150.96, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29440 iterations)
Info:Square Root: Total cpu/real time for sqrt: 815.33/244.005
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 105.55/122.504
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 122.2s
Info:Generate Free Relations: Total cpu/real time for freerel: 250.16/63.7892
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38984/39.130/46.808/50.840/0.842
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30745/38.610/42.079/47.640/1.057
Info:Polynomial Selection (size optimized): Total time: 4833.51
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 382.31/360.091
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 310.09999999999997s
Info:Quadratic Characters: Total cpu/real time for characters: 73.05/30.9098
Info:Generate Factor Base: Total cpu/real time for makefb: 40.69/10.7529
Info:Filtering - Singleton removal: Total cpu/real time for purge: 246.13/275.075
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5857.83
Info:Polynomial Selection (root optimized): Rootsieve time: 5855.29
Info:Filtering - Merging: Merged matrix has 1875390 rows and total weight 320599963 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 496.23/139.062
Info:Filtering - Merging: Total cpu/real time for replay: 75.66/64.7084
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24327016
Info:Lattice Sieving: Average J: 7599.69 for 76169 special-q, max bucket fill -bkmult 1.0,1s:1.073960
Info:Lattice Sieving: Total time: 102919s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 264500/30638.5
3233582646424707703457753035706257835757015418728985289 32972479316658378361777716691531218468170495378566081543340066440958375462287
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 13:11:18 UTC 2022 年 7 月 2 日 (土) 22 時 11 分 18 秒 (日本時間)
4511e64480Ignacio SantosJuly 3, 2022 16:42:27 UTC 2022 年 7 月 4 日 (月) 1 時 42 分 27 秒 (日本時間)

37×10207+629

c206

composite cofactor 合成数の残り
28158295281582952815829528158295281582952815829528158295281582952815829528158295281582952815829528158295281582952815829528158295281582952815829528158295281582952815829528158295281582952815829528158295281583<206>

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)

37×10209+629

c112

name 名前Eric Jeancolas
date 日付July 1, 2022 02:15:27 UTC 2022 年 7 月 1 日 (金) 11 時 15 分 27 秒 (日本時間)
composite number 合成数
2531978450620306093013765158462769081785427292980892807730689659598523244381679235882134377380104024006175306903<112>
prime factors 素因数
16625025429836778237565918625474210322651141510809<50>
152299222717349229375767131297986849416559430947299455314760367<63>
factorization results 素因数分解の結果
2531978450620306093013765158462769081785427292980892807730689659598523244381679235882134377380104024006175306903=16625025429836778237565918625474210322651141510809*152299222717349229375767131297986849416559430947299455314760367

cado polynomial
n: 2531978450620306093013765158462769081785427292980892807730689659598523244381679235882134377380104024006175306903
skew: 2463.155
c0: 131738161861535926072469
c1: -74920327230376256989
c2: -104018747126358299
c3: 45450390972451
c4: 14161155912
c5: -1156680
Y0: -2262716289511328362226
Y1: 653584543037581
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.313e-06
# f(x) = -1156680*x^5+14161155912*x^4+45450390972451*x^3-104018747126358299*x^2-74920327230376256989*x+131738161861535926072469
# g(x) = 653584543037581*x-2262716289511328362226

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
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: 152299222717349229375767131297986849416559430947299455314760367 16625025429836778237565918625474210322651141510809
Info:Square Root: Total cpu/real time for sqrt: 98.4/47.1731
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.87/129.519
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 96.79999999999998s
Info:Square Root: Total cpu/real time for sqrt: 98.4/47.1731
Info:Filtering - Singleton removal: Total cpu/real time for purge: 81.61/102.603
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5712155
Info:Lattice Sieving: Average J: 1893.16 for 130859 special-q, max bucket fill -bkmult 1.0,1s:1.307340
Info:Lattice Sieving: Total time: 13604.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.25/0.617196
Info:Linear Algebra: Total cpu/real time for bwc: 1301.44/357.08
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 791.82, WCT time 202.87, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9856 iterations)
Info:Linear Algebra: Lingen CPU time 46.88, WCT time 11.96
Info:Linear Algebra: Mksol: CPU time 436.57,  WCT time 131.76, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4992 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.05/16.3044
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.36/30.3579
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 29.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 273.73
Info:Polynomial Selection (root optimized): Rootsieve time: 272.74
Info:Filtering - Merging: Merged matrix has 313458 rows and total weight 48703338 (155.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 48.62/14.4529
Info:Filtering - Merging: Total cpu/real time for replay: 10.2/8.3114
Info:Quadratic Characters: Total cpu/real time for characters: 11.74/7.12786
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11988/32.390/39.661/45.500/1.105
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9520/31.250/35.146/40.090/0.931
Info:Polynomial Selection (size optimized): Total time: 700.7
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 24288.3/7716.75
Info:root: Cleaning up computation data in /tmp/cado.bc38sw46
152299222717349229375767131297986849416559430947299455314760367 16625025429836778237565918625474210322651141510809
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)

37×10211+629

c205

composite cofactor 合成数の残り
6861231154840518841107646003939236788541788476699500068445416736530689304130598379837089152723625047291499331437927498742633031205509783726205574872702836629524411722676750970428427512261112793039937446341<205>

ECM

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

37×10213+629

c210

composite cofactor 合成数の残り
348813092746573147048287044893187774572468276863321831928653581461998227652393612006712295190150272451307577728755397175556686841261760657654090540566019948337952749967004166902351188792729603861455210513415163<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)

37×10214+629

c208

composite cofactor 合成数の残り
9528331618491164481099163613351427892599324230119818512580050217912944114892931682737871837347155903746545142840249382705748483669031907601347584215128920129455518683487416756503382480467821510759726842819251<208>

ECM

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

37×10215+629

c188

composite cofactor 合成数の残り
89677109263118486747788667192126681518688931975352944322157626607642227818945986389570424444724397744690925198856986403473940059146200020626759262182012542085538710896969551068335012293311<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)

37×10216+629

c200

composite cofactor 合成数の残り
11139216446853547421915652415539662991191224289432340664204534520859429782268816518284515353561231567088468190297214281843424304852912945255879519857875279699291096506939341859569000357923453484209973<200>

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)

37×10218+629

c181

composite cofactor 合成数の残り
8957694187644658541036756211678792987319792322687874731675071889640292151510675597020793959891371454492051167838382826664852099049555440179037414300342805503902798481701651642337021<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)

37×10223+629

c182

composite cofactor 合成数の残り
28421455416412409040660896087313570878702329387094851540400502339119217942511308611132633562483479994263582054530488948172965032250913118168357645385426960956097970622347178121981853<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)

37×10225+629

c216

composite cofactor 合成数の残り
147446625593979433101584871857510757010353394427727719531626834465547968365770348945365595762441065386390785541080339111691775146552144425605295094470362543350094074172225015451495978962100140357120055424536839213711<216>

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)

37×10226+629

c203

composite cofactor 合成数の残り
42188933432386614780018401563518061361563933823680630692144365283753554983852078880579092645961425154191340120057862801570270563285215632444167671625642398782171685333150494764750790162533738825349790547<203>

ECM

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

37×10227+629

c213

composite cofactor 合成数の残り
240150593905864234940864457732813452277256138187957285517964674704351109445338058973270730211447798641437204510304463658190435014231433441932399361073619447518718653432373664327484804420512392819868022905284749951<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)

37×10228+629

c151

composite cofactor 合成数の残り
1646314008458393284390612665425747491083921265572859039761877667591853571891516594828254484454817823735706450492940078507090550166716549217703625538573<151>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 29, 2022 17:51:12 UTC 2022 年 6 月 30 日 (木) 2 時 51 分 12 秒 (日本時間)
4511e64480Ignacio SantosJune 30, 2022 19:14:48 UTC 2022 年 7 月 1 日 (金) 4 時 14 分 48 秒 (日本時間)

37×10229+629

c225

composite cofactor 合成数の残り
142660722726932725058857187362881839135769053110659223632635529614438190506815712420659431840176806759496384514602674464424657016632697991876821334024273914756748044969744359696263754228733720290904492116260006492990731679857<225>

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)

37×10231+629

c188

composite cofactor 合成数の残り
70712430621567186534040642773190846682240021080948063486248883932517466792156751940171929018987362051950390331063781155854779457274533765769220309540694466055862688426443425731797947667223<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)

37×10232+629

c226

composite cofactor 合成数の残り
2055415170699396786755020187676737234402445868502736818630843068973944635136975700115237684821682234658928350749199385237543831311876954359572796733538654865428246806298685355345785438410112144896059154715288501350913288177973<226>

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)

37×10234+629

c205

composite cofactor 合成数の残り
2419999622517758836687555654471094044765348717082620410183270891307939643910544914408163268606360276022831945596904772676355334269460138972293495453787984933872961391921504496529764244036139154682712823569<205>

ECM

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

37×10236+629

c223

composite cofactor 合成数の残り
2330385297644063633870489147998623125160457806758123505512450463549393393721643374722589478811183134628854323052583929476722085372392926431453648577008795222401999443353655920373695769842807687241627633348033269677954007957<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)

37×10237+629

c207

composite cofactor 合成数の残り
117934566225461967713287696629002337171633321377606869983515981406674714630527848005740342864632934958514199670236412830076423211826162773312157632140944475794036587302478929632350033426512469052242717581327<207>

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)

37×10238+629

c236

composite cofactor 合成数の残り
88985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985089<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)

37×10241+629

c229

composite cofactor 合成数の残り
6487641100092848069114532062288943059019715089219521160481472386938175000999788817816232656136094179019121008192120200283939556921706720897570784382989673928726050252351609928203924106035699891314198078538302985048981556587878239<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)

37×10243+629

c226

composite cofactor 合成数の残り
1324422209901866869076921601300829355985139903839629926564140241708114033280561619755140286912667714834084132601917506730474202005665967500555056303090103122660476079664644819094061497068013473478914504675489965940403885805631<226>

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)

37×10245+629

c243

composite cofactor 合成数の残り
343164533481728807271378222964199591912446670376553515117788907438323131144500092747171211278056019291411611945835652012613615284733815618623631979224633648673715451678723798924132813949174550176219625301428306436653682062697087738823965869041<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)

37×10248+629

c214

composite cofactor 合成数の残り
5937403919743694677701169157704023030623847660152440932246046293431945478805426126781696445122066237296080073307311947642226106215600766476024891941517096741050698633606520250188745671632697158768263711613773026581<214>

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)

37×10249+629

c161

composite cofactor 合成数の残り
46352144389332765958867678185794813939854514772264526107944895236378620245301306882510291813242040644679738654971989743383522593776018284572412354909564721395341<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 29, 2022 19:24:05 UTC 2022 年 6 月 30 日 (木) 4 時 24 分 5 秒 (日本時間)
4511e64480Ignacio SantosJuly 1, 2022 15:51:00 UTC 2022 年 7 月 2 日 (土) 0 時 51 分 0 秒 (日本時間)

37×10252+629

c238

composite cofactor 合成数の残り
3447575092847691413674381587902995194157563672715368669326786603632453765574978020768929582054980502155678345161710565689300338469179175396044904947960090194442559389525044436875900137802068500469415483549046985604412646585383793535133833<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)

37×10253+629

c222

composite cofactor 合成数の残り
194979322619516032381938623574921645149625978330466435691971638291996402924251781292224767337297267923958059424549647670958095063360320194263171416211236333519127626720643636638008273947360684097601974458472392099944805623<222>

ECM

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

37×10256+629

c199

composite cofactor 合成数の残り
6529432225505274072109332484628960150631634833482334898501281893102491150275508159825055556903375250388082788148025674465555562363801784762328157981264832310151331537485978265947874606902621015726421<199>

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)

37×10258+629

c202

composite cofactor 合成数の残り
8427400558145675266354195754006707911247400742423257467382659236028299677835121293206425326023174023850459596870255975378807641159671132964881666152712829081530101854993755431967762494991836654209171929<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)

37×10259+629

c206

composite cofactor 合成数の残り
86344690446876833819406481995921006478057038163167920045215687538455694546090600007698118275197817775818799464760410800065182664866505085787488652072772263952179472891678536149498992456601832446811405361761<206>

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)

37×10261+629

c217

composite cofactor 合成数の残り
8543896935051950516592160554008002073650110172268077642380978462126260520975231013603615057952563252825781567481565654292109617192573416793948681777159930852048544206921927638856855240120867489819317699828131208018873<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)

37×10262+629

c260

composite cofactor 合成数の残り
88985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985089<260>

ECM

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

37×10263+629

c239

composite cofactor 合成数の残り
84705898258482218019708068170020982908298907835123840923708480831284119932615817027398202013289984069632401854503837001260497467841892299720809924928953051213637734751854456996013751568364446187623597619877516887913276609540257574019814407<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)

37×10264+629

c244

composite cofactor 合成数の残り
9316596682590138261908514803862449150710533433921554253304778885609911482398006395779730186654152732573762467541250568313403465364258450356816212315977379219650857569159906846863079394067821548664312509204059665037467825393782602475565436444587<244>

ECM

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

37×10267+629

c260

composite cofactor 合成数の残り
30036172855213377467154393716774239271455320066927282258289106570612674395681821846305069104718078947300786256572115538363434700919411634755741434330091197987380290609843721808870093907964545671737241858353990548856815224424868945155862563558550938058983831559<260>

ECM

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

37×10268+629

c252

composite cofactor 合成数の残り
512744945961942151726028133953684319549062254624053093340014452315239527174753948346455429191074972251922776168667392950592181694094612063564404418448546300333156831075756822567546115762436929598123203579049098582661078116981620041967639869789624128503<252>

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)

37×10269+629

c196

composite cofactor 合成数の残り
2630018848008041683466162466806117529436346323261788181400464038609547154871781067134302986912623524833588968514914526392071971273178261330487434694168170715375563998276104126895301245173103366369<196>

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)

37×10270+629

c251

composite cofactor 合成数の残り
11297677948458672976503625147150031644149288153069355874633210889015541693024479299166076407359712037443724479899788429743705661772605906666836153112034818198620511242883870287586483351313397008766903536387360606780380644196323546516141280923585185309<251>

ECM

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

37×10271+629

c238

composite cofactor 合成数の残り
2303820811801787397002717267927313310715760798796045687111196374912838566099070791124509675946884666721789168389144217543498134601679453737548859545596475594210304973922499920017946456999538299742769774772025039025474557758178443834785433<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)

37×10272+629

c236

composite cofactor 合成数の残り
44438809487824903402614831373586568732210986691136219722715862627938725066522785723195381054603430259144720255487576227880891036673507984675649440084800196434229807476953840469816788846891240630238587946224370433196074371355826504958983<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)

37×10273+629

c234

composite cofactor 合成数の残り
305934988130794150786978535585557731158645576632735260450674463697218539037260856187522633941423663219215370268169063475855218348936979026352033643788935079206441366552335608946965227569435907077755787316586469687985373472149037770397<234>

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)

37×10275+629

c259

composite cofactor 合成数の残り
5011948153949614253659891590699528943954286922878501534416569828537375428558250742803709017762963007522298713563798189119015328978831478606475106857759768523070811456802059504931099701683791779965862619730078866150512149402273218739024457651896902682005483061<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)

37×10276+629

c241

composite cofactor 合成数の残り
7370455484628191157335760679026057414499855190728060565731311304611767733892753618504023013872979135656022949589363559445916873093825970983821971135924248025058824806844998849822415960746174595090479107195051290029265745837544853018815528973<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)

37×10277+629

c233

composite cofactor 合成数の残り
10830034646321426540711597193182750294154234428441567724372388091683302217899482668186459961028712499509235460676997441810078337548501167476633017323790518247548505097176232720080670498676266780194336770238062115603076802636424980651<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)

37×10280+629

c266

composite cofactor 合成数の残り
82146033248663454142591447523700866932755808592390772486052245926074264818821400036097598697596922035244468314313011117095435058660605200235901530662127349915530718830388775260327813643547220387026170657254663569904552551367711918236559152282205088084519220498327333<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)

37×10282+629

c231

composite cofactor 合成数の残り
304877895392599741245688147264178639646618936190044784753068223241874726504709775949793508566506911283099389492264323331429411301494447157321056047962626136035980616914852385960162137970870066666931798643765914192669237834581078197<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)

37×10285+629

c255

composite cofactor 合成数の残り
156931077371003039470219802111163295069030366791064847482805142647633921301085611232919201915441913249093916549592951298473658587734719230260147043286980948699756278775224615077683582402544038015051995833970776829462390973722832221675759697316176329854821<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)

37×10286+629

c232

composite cofactor 合成数の残り
1245477490960808225981725719276363105645518558325450072753084244551724581291506034738589973458598868407949339565940527185584416088327552203947682918555147105964117207061804284646687777714493365051807936817384735517364353003170959067<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)

37×10287+629

c275

composite cofactor 合成数の残り
29387483720261214538761543513080506210960099418602197885703055231547158976339299766686667696656654801331762626830417368254673354426619093548394884575595502949215669700788387231576990439746015648203042647590934398487571690226776259435067154214423756978196163650142621069317873<275>

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)

37×10288+629

c263

composite cofactor 合成数の残り
25899016599175877690497430241826298984160009551136897833547165401343698654533128624171612968527068982096143963593055027905581924073774819643114675607034090592375034047223258134135768579610486051858915730867646343544975478565679993394015660947545200742076795286281<263>

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)

37×10289+629

c228

composite cofactor 合成数の残り
128312786258404535761745260027195026031477188474068870527100744440829231867592324830903502376678734427690680076314299756834616069431158687784201261716243403150379536966867062904478393407572401563024258907581699666019323074315561<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)

37×10290+629

c268

composite cofactor 合成数の残り
5450606074047364373188880138989988146605273856584276132623765003098868111270520092160324282696762962203006714502502764205276399445272473631775888086124310886786873521729536191257004654623263393608605245746639111652750167674336952813406111238024645981257611712158068893<268>

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)

37×10291+629

c265

composite cofactor 合成数の残り
2300859540891971912899563668970485800390858425579771818429018636458404664370175306773370023988607953490228067862364711341998463212516531100676549426702265034932516455027504941513860943652922223042927463967091746548468942107999370157819579023026954806191099549389233<265>

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)

37×10292+629

c290

composite cofactor 合成数の残り
88985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985088985089<290>

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)

37×10293+629

c252

composite cofactor 合成数の残り
515568708307578155599501009329027944443502947953626374513472605850891966141212945822562940664196524551761713824460256748889042323464389828141151853131189040182172480016367321640054461505549189668502750046731615713766059907600221773512841675117567966811<252>

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)

37×10295+629

c278

composite cofactor 合成数の残り
12580252742401228342583348131414907245835925687680880757408350064088393323943428989980832950313613434952551517750977319408223891662668860577285206701405008316018438876661817031648402081283091458542160790622009821706720930391280011701023500877911836397569364594257472392433280121<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)

37×10298+629

c282

composite cofactor 合成数の残り
178718205485222695769614968179269704387455882791918332090492208429612073003246840316408792790942778298462591904222464381032915463652812374467192567210714487084332494451975821943065529513970507898917708661484761782554191842461757770320516245721117407295110886017463988946135317474021<282>

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)

37×10299+629

c273

composite cofactor 合成数の残り
662316411188673341719902205123152396115910586724824415844323599658927086350974878841624287059247990064127803933094595820422798234524878624937491679825406927730013653625971076837262377663901766927944321557486436421594339580732434329628863438939959030948696883396965302139899<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)