Table of contents 目次

28×10118+53

c113

name 名前Dmitry Domanov
date 日付February 22, 2023 07:42:48 UTC 2023 年 2 月 22 日 (水) 16 時 42 分 48 秒 (日本時間)
composite number 合成数
83401469355172603808766388016400303223913584163252419014939288198245292657245279253437704314983520763242589556051<113>
prime factors 素因数
255674267974052820001080154901450498749434943337<48>
326202046127053454654423800423095987501559670040859999039033688923<66>
factorization results 素因数分解の結果
N=83401469355172603808766388016400303223913584163252419014939288198245292657245279253437704314983520763242589556051
  ( 113 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=255674267974052820001080154901450498749434943337 (pp48)
 r2=326202046127053454654423800423095987501559670040859999039033688923 (pp66)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 83401469355172603808766388016400303223913584163252419014939288198245292657245279253437704314983520763242589556051
m: 200000000000000000000000000000
deg: 4
c4: 35
c0: 1
skew: 0.41
# Murphy_E = 5.77e-08
type: snfs
lss: 1
rlim: 670000
alim: 670000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 670000/670000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [335000, 535001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 53493 x 53718
Total sieving time: 0.00 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,118.000,4,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000
total time: 0.01 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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10127+53

c118

name 名前Norman Powell
date 日付March 8, 2023 00:07:46 UTC 2023 年 3 月 8 日 (水) 9 時 7 分 46 秒 (日本時間)
composite number 合成数
2354943602529475251786304801114234063359344585768673711704762011732814903130124732203998000680972565448541402502103347<118>
prime factors 素因数
764921694697819756064357443823376954506918555183<48>
3078672782917719890696007672956929585219537314805636341565430759374909<70>
factorization results 素因数分解の結果
n: 2354943602529475251786304801114234063359344585768673711704762011732814903130124732203998000680972565448541402502103347
skew: 99666.29
c0: -20485526269103738847703271001
c1: 1454713942147532133567011
c2: -1026514534024989341
c3: -377905006916461
c4: -382492872
c5: 10764
Y0: -46558762192076757487984
Y1: 924944084341
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

nfs: commencing nfs on c118: 2354943602529475251786304801114234063359344585768673711704762011732814903130124732203998000680972565448541402502103347
nfs: commencing poly selection with 6 threads
nfs: setting deadline of 1725 seconds
nfs: completed 114 ranges of size 250 in 1705.8371 seconds
nfs: best poly = # norm 3.574623e-011 alpha -6.282352 e 4.040e-010 rroots 5
nfs: commencing lattice sieving with 6 threads
nfs: commencing msieve filtering
nfs: commencing msieve linear algebra
nfs: commencing msieve sqrt
prp70 = 3078672782917719890696007672956929585219537314805636341565430759374909
prp48 = 764921694697819756064357443823376954506918555183
software ソフトウェア
YAFU v1.35, r373.
execution environment 実行環境
Windows 10 v22H2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10129+53

c108

name 名前Lionel Debroux
date 日付March 9, 2023 08:58:25 UTC 2023 年 3 月 9 日 (木) 17 時 58 分 25 秒 (日本時間)
composite number 合成数
393686071061291904914191907221405680710305674178237450174680212835963803802058987405784185083815334800477509<108>
prime factors 素因数
2050163277964008317445372318368424321595621518487283<52>
192026691382481814520358242273254373345585401266550690023<57>
factorization results 素因数分解の結果
192026691382481814520358242273254373345585401266550690023 2050163277964008317445372318368424321595621518487283
software ソフトウェア
CADO-NFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10139+53

c102

name 名前Bart Jans
date 日付February 24, 2023 10:43:51 UTC 2023 年 2 月 24 日 (金) 19 時 43 分 51 秒 (日本時間)
composite number 合成数
414377407635704050898349481600913688712965497897887258421161056498992082178042232256215360141774262223<102>
prime factors 素因数
28140284159406513191583099100360804670469429690059<50>
14725416605190506768570358001856111074338795321683597<53>
factorization results 素因数分解の結果
02/24/23 10:13:04 v1.34.5 @ LT-BART, nfs: commencing nfs on c102: 414377407635704050898349481600913688712965497897887258421161056498992082178042232256215360141774262223
02/24/23 10:13:04 v1.34.5 @ LT-BART, nfs: commencing poly selection with 4 threads
02/24/23 10:13:04 v1.34.5 @ LT-BART, nfs: setting deadline of 369 seconds
02/24/23 10:34:34 v1.34.5 @ LT-BART, nfs: completed 4 ranges of size 250 in 1290.4763 seconds
02/24/23 10:34:34 v1.34.5 @ LT-BART, nfs: best poly = # norm 7.382850e-014 alpha -4.995024 e 9.758e-009 rroots 4
02/24/23 10:34:34 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads
02/24/23 10:37:07 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads
02/24/23 10:39:39 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads
02/24/23 10:42:11 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads
02/24/23 10:44:40 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads
02/24/23 10:47:18 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads
02/24/23 10:49:59 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads
02/24/23 10:52:45 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads
02/24/23 10:55:26 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads
02/24/23 10:58:14 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads
02/24/23 11:00:46 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads
02/24/23 11:03:27 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads
02/24/23 11:06:21 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads
02/24/23 11:09:04 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads
02/24/23 11:11:56 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads
02/24/23 11:14:38 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads
02/24/23 11:17:24 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads
02/24/23 11:20:16 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads
02/24/23 11:23:05 v1.34.5 @ LT-BART, nfs: commencing msieve filtering
02/24/23 11:23:47 v1.34.5 @ LT-BART, nfs: raising min_rels by 5.00 percent to 4735886
02/24/23 11:23:47 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads
02/24/23 11:26:45 v1.34.5 @ LT-BART, nfs: commencing msieve filtering
02/24/23 11:27:29 v1.34.5 @ LT-BART, nfs: raising min_rels by 5.00 percent to 5011042
02/24/23 11:27:29 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads
02/24/23 11:30:13 v1.34.5 @ LT-BART, nfs: commencing msieve filtering
02/24/23 11:31:14 v1.34.5 @ LT-BART, nfs: commencing msieve linear algebra
02/24/23 11:34:14 v1.34.5 @ LT-BART, nfs: commencing msieve sqrt
02/24/23 11:35:46 v1.34.5 @ LT-BART, prp50 = 28140284159406513191583099100360804670469429690059
02/24/23 11:35:46 v1.34.5 @ LT-BART, prp53 = 14725416605190506768570358001856111074338795321683597
02/24/23 11:35:46 v1.34.5 @ LT-BART, NFS elapsed time = 4962.0576 seconds.
software ソフトウェア
yafu factor()
execution environment 実行環境
Intel(R) Core(TM) i7-10510U CPU @ 1.80GHz,WIN64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10140+53

c116

name 名前anonymous
date 日付March 3, 2023 06:26:12 UTC 2023 年 3 月 3 日 (金) 15 時 26 分 12 秒 (日本時間)
composite number 合成数
10291744069251591634887173403302396000764712920430742797254876527090363609540419388872771955204026409256089281777971<116>
prime factors 素因数
10726330647884713981876293229663017355837480433867400661<56>
959484133680064674071198036121333520303252251094660457428711<60>
factorization results 素因数分解の結果
p56 factor: 10726330647884713981876293229663017355837480433867400661
p60 factor: 959484133680064674071198036121333520303252251094660457428711
software ソフトウェア
GGNFS+Msieve 1.54 snfs

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10144+53

c124

name 名前Bob Backstrom
date 日付February 28, 2023 00:37:46 UTC 2023 年 2 月 28 日 (火) 9 時 37 分 46 秒 (日本時間)
composite number 合成数
5947131902399929022637907376524426505947241270684313889816349696757095263177030440936432792167581184194693804518359758041101<124>
prime factors 素因数
13231424225218442121129127908134999897149063<44>
449470276303664187148200954524536830638362638535342301607237952789650135060282827<81>
factorization results 素因数分解の結果
Number: n
N=5947131902399929022637907376524426505947241270684313889816349696757095263177030440936432792167581184194693804518359758041101  ( 124 digits)
SNFS difficulty: 144 digits.
Divisors found:

Tue Feb 28 11:34:47 2023  prp44 factor: 13231424225218442121129127908134999897149063
Tue Feb 28 11:34:47 2023  prp81 factor: 449470276303664187148200954524536830638362638535342301607237952789650135060282827
Tue Feb 28 11:34:47 2023  elapsed time 00:03:53 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
#
# N = 28x10^144+5 = 93(143)5
#
n: 5947131902399929022637907376524426505947241270684313889816349696757095263177030440936432792167581184194693804518359758041101
m: 20000000000000000000000000000
deg: 5
c5: 1750
c0: 1
skew: 0.22
# Murphy_E = 2.779e-09
type: snfs
lss: 1
rlim: 1810000
alim: 1810000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1810000/1810000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 12105000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 506818 hash collisions in 6585119 relations (6527175 unique)
Msieve: matrix is 302359 x 302584 (83.3 MB)

Sieving start time: 2023/02/28 10:58:56
Sieving end time  : 2023/02/28 11:30:40

Total sieving time: 0hrs 31min 44secs.

Total relation processing time: 0hrs 2min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 16sec.

Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1810000,1810000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10145+53

c113

name 名前Lionel Debroux
date 日付March 14, 2023 13:14:43 UTC 2023 年 3 月 14 日 (火) 22 時 14 分 43 秒 (日本時間)
composite number 合成数
33518599210400405996289351803664643845993964119325954450926734057997252621523377982568000937889432954969785488891<113>
prime factors 素因数
2444774842992340243634353706599165814456016013<46>
13710301096429199293093205605618971071119851817838263970502121213607<68>
factorization results 素因数分解の結果
13710301096429199293093205605618971071119851817838263970502121213607 2444774842992340243634353706599165814456016013
software ソフトウェア
CADO-NFS
execution environment 実行環境
10 x Xeon L5640, Debian sid amd64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10148+53

c132

name 名前Bob Backstrom
date 日付February 23, 2023 22:15:27 UTC 2023 年 2 月 24 日 (金) 7 時 15 分 27 秒 (日本時間)
composite number 合成数
704841855032360307479244939714910502568016439668064961135321229967971730838749727636223422288193892203746108001720293900535584966943<132>
prime factors 素因数
156815251861815207446989093278085234231413486892591534580119819<63>
4494727691751968878296763576521736655553426654241864734759338190865597<70>
factorization results 素因数分解の結果
Number: n
N=704841855032360307479244939714910502568016439668064961135321229967971730838749727636223422288193892203746108001720293900535584966943  ( 132 digits)
SNFS difficulty: 148 digits.
Divisors found:

Fri Feb 24 09:11:10 2023  prp63 factor: 156815251861815207446989093278085234231413486892591534580119819
Fri Feb 24 09:11:10 2023  prp70 factor: 4494727691751968878296763576521736655553426654241864734759338190865597
Fri Feb 24 09:11:10 2023  elapsed time 00:05:58 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.014).
Factorization parameters were as follows:
#
# N = 28x10^148+5 = 93(147)5
#
n: 704841855032360307479244939714910502568016439668064961135321229967971730838749727636223422288193892203746108001720293900535584966943
m: 200000000000000000000000000000
deg: 5
c5: 175
c0: 1
skew: 0.36
# Murphy_E = 2.141e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 12250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 568616 hash collisions in 6783812 relations (6671257 unique)
Msieve: matrix is 347148 x 347373 (95.1 MB)

Sieving start time: 2023/02/24 08:32:50
Sieving end time  : 2023/02/24 09:05:05

Total sieving time: 0hrs 32min 15secs.

Total relation processing time: 0hrs 3min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 29sec.

Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10153+53

c121

name 名前Bob Backstrom
date 日付March 1, 2023 19:56:08 UTC 2023 年 3 月 2 日 (木) 4 時 56 分 8 秒 (日本時間)
composite number 合成数
4697690935029116740945480006901127490395912087926949102107891824593052703760516825448749869172610653967636637064912286373<121>
prime factors 素因数
4341794707501782505687250515253769897988069<43>
1081969842312538247421990613381407664588394465793727818724270101390298580986817<79>
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 4697690935029116740945480006901127490395912087926949102107891824593052703760516825448749869172610653967636637064912286373 (121 digits)
Using B1=33640000, B2=144292738606, polynomial Dickson(12), sigma=1:863635246
Step 1 took 53182ms
Step 2 took 19020ms
********** Factor found in step 2: 4341794707501782505687250515253769897988069
Found prime factor of 43 digits: 4341794707501782505687250515253769897988069
Prime cofactor 1081969842312538247421990613381407664588394465793727818724270101390298580986817 has 79 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10156+53

c133

name 名前Bob Backstrom
date 日付March 2, 2023 02:46:57 UTC 2023 年 3 月 2 日 (木) 11 時 46 分 57 秒 (日本時間)
composite number 合成数
4441813427440629849969224114090201094845583623008888722204221159272875164216065671988705395659465072285634274924037260941469218563207<133>
prime factors 素因数
1560616172048306437317156049246490211187268053771335457489944307<64>
2846192104757415297031905669897081282182667644344205692071940432572701<70>
factorization results 素因数分解の結果
Number: n
N=4441813427440629849969224114090201094845583623008888722204221159272875164216065671988705395659465072285634274924037260941469218563207  ( 133 digits)
SNFS difficulty: 156 digits.
Divisors found:

Thu Mar  2 13:43:12 2023  prp64 factor: 1560616172048306437317156049246490211187268053771335457489944307
Thu Mar  2 13:43:12 2023  prp70 factor: 2846192104757415297031905669897081282182667644344205692071940432572701
Thu Mar  2 13:43:12 2023  elapsed time 00:07:52 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.083).
Factorization parameters were as follows:
#
# N = 28x10^156+5 = 93(155)5
#
n: 4441813427440629849969224114090201094845583623008888722204221159272875164216065671988705395659465072285634274924037260941469218563207
m: 10000000000000000000000000000000
deg: 5
c5: 56
c0: 1
skew: 0.45
# Murphy_E = 1.223e-09
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 12650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 775395 hash collisions in 11634506 relations (11644234 unique)
Msieve: matrix is 396753 x 396982 (110.1 MB)

Sieving start time: 2023/03/02 12:21:25
Sieving end time  : 2023/03/02 13:35:04

Total sieving time: 1hrs 13min 39secs.

Total relation processing time: 0hrs 4min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 37sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10157+53

c149

name 名前Bob Backstrom
date 日付March 5, 2023 11:57:59 UTC 2023 年 3 月 5 日 (日) 20 時 57 分 59 秒 (日本時間)
composite number 合成数
22685154083681400665737084955018537653693544348740789003586094678346699958815467343909904828150735895886336259074518881109559469527002745126039653877<149>
prime factors 素因数
13767091774929341066754922910150959947126812091500772937742108584959250403<74>
1647781133048910115427750563200073540086383700498689957456248763628614066759<76>
factorization results 素因数分解の結果
Number: n
N=22685154083681400665737084955018537653693544348740789003586094678346699958815467343909904828150735895886336259074518881109559469527002745126039653877  ( 149 digits)
SNFS difficulty: 157 digits.
Divisors found:

Sat Mar  4 11:19:25 2023  prp74 factor: 13767091774929341066754922910150959947126812091500772937742108584959250403
Sat Mar  4 11:19:25 2023  prp76 factor: 1647781133048910115427750563200073540086383700498689957456248763628614066759
Sat Mar  4 11:19:25 2023  elapsed time 00:08:32 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
#
# N = 28x10^157+5 = 93(156)5
#
n: 22685154083681400665737084955018537653693544348740789003586094678346699958815467343909904828150735895886336259074518881109559469527002745126039653877
m: 10000000000000000000000000000000
deg: 5
c5: 560
c0: 1
skew: 0.28
# Murphy_E = 1.067e-09
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 34300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 676400 hash collisions in 11656679 relations (11786789 unique)
Msieve: matrix is 449447 x 449675 (126.6 MB)

Sieving start time: 2023/03/04 07:18:34
Sieving end time  : 2023/03/04 11:10:17

Total sieving time: 3hrs 51min 43secs.

Total relation processing time: 0hrs 5min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 56sec.

Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10159+53

c100

name 名前Ignacio Santos
date 日付February 21, 2023 09:08:23 UTC 2023 年 2 月 21 日 (火) 18 時 8 分 23 秒 (日本時間)
composite number 合成数
6018392946547432860981736289903766463318685482196097724554749768354722225736584897589620331031229079<100>
prime factors 素因数
5108867914963575567492436775547465215723937421<46>
1178028683990813625737226210277362204210884088553336499<55>
factorization results 素因数分解の結果
-> makeJobFile(): Adjusted to q0=900000, q1=1000000.
->               client 1 q0: 900000
        LatSieveTime: 37
        LatSieveTime: 39
        LatSieveTime: 39
        LatSieveTime: 40
        LatSieveTime: 41
        LatSieveTime: 42
        LatSieveTime: 42
        LatSieveTime: 42
        LatSieveTime: 43
        LatSieveTime: 43
        LatSieveTime: 43
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 49
        LatSieveTime: 48
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 50
        LatSieveTime: 50
        LatSieveTime: 50
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 52
        LatSieveTime: 53
-> makeJobFile(): Adjusted to q0=1000001, q1=1100000.
->               client 1 q0: 1000001
      LatSieveTime: 38
        LatSieveTime: 39
        LatSieveTime: 40
        LatSieveTime: 41
        LatSieveTime: 41
        LatSieveTime: 42
        LatSieveTime: 42
        LatSieveTime: 42
        LatSieveTime: 42
        LatSieveTime: 42
        LatSieveTime: 43
        LatSieveTime: 43
        LatSieveTime: 43
        LatSieveTime: 43
        LatSieveTime: 43
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 50
        LatSieveTime: 50
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 52
        LatSieveTime: 52
        LatSieveTime: 54
-> makeJobFile(): Adjusted to q0=1100001, q1=1200000.
->               client 1 q0: 1100001
      LatSieveTime: 38
        LatSieveTime: 41
        LatSieveTime: 42
        LatSieveTime: 42
        LatSieveTime: 42
        LatSieveTime: 43
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 47
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 50
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 53
        LatSieveTime: 58
-> makeJobFile(): Adjusted to q0=1200001, q1=1300000.
->               client 1 q0: 1200001
      LatSieveTime: 35
        LatSieveTime: 40
        LatSieveTime: 41
        LatSieveTime: 41
        LatSieveTime: 41
        LatSieveTime: 42
        LatSieveTime: 42
        LatSieveTime: 43
        LatSieveTime: 43
        LatSieveTime: 43
        LatSieveTime: 43
        LatSieveTime: 43
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 49
        LatSieveTime: 50
        LatSieveTime: 50
        LatSieveTime: 50
        LatSieveTime: 50
        LatSieveTime: 51
Tue Feb 21 10:04:39 2023  
Tue Feb 21 10:04:39 2023  
Tue Feb 21 10:04:39 2023  Msieve v. 1.52 (SVN 927)
Tue Feb 21 10:04:39 2023  random seeds: fea4b2c0 a7c22ba2
Tue Feb 21 10:04:39 2023  factoring 6018392946547432860981736289903766463318685482196097724554749768354722225736584897589620331031229079 (100 digits)
Tue Feb 21 10:04:39 2023  searching for 15-digit factors
Tue Feb 21 10:04:39 2023  commencing number field sieve (100-digit input)
Tue Feb 21 10:04:39 2023  R0: -8441451044519282816
Tue Feb 21 10:04:39 2023  R1: 51078431941
Tue Feb 21 10:04:39 2023  A0: -1087326343744805535525
Tue Feb 21 10:04:39 2023  A1: -53220563045695789560
Tue Feb 21 10:04:39 2023  A2: -20303253834379085
Tue Feb 21 10:04:39 2023  A3: -2377349480812
Tue Feb 21 10:04:39 2023  A4: 1490746986
Tue Feb 21 10:04:39 2023  A5: 140400
Tue Feb 21 10:04:39 2023  skew 4318.83, size 1.474e-009, alpha -6.154, combined = 3.234e-009 rroots = 3
Tue Feb 21 10:04:39 2023  
Tue Feb 21 10:04:39 2023  commencing relation filtering
Tue Feb 21 10:04:39 2023  estimated available RAM is 65413.5 MB
Tue Feb 21 10:04:39 2023  commencing duplicate removal, pass 1
Tue Feb 21 10:04:45 2023  found 275769 hash collisions in 3212110 relations
Tue Feb 21 10:04:49 2023  added 29132 free relations
Tue Feb 21 10:04:49 2023  commencing duplicate removal, pass 2
Tue Feb 21 10:04:49 2023  found 160144 duplicates and 3081098 unique relations
Tue Feb 21 10:04:49 2023  memory use: 12.3 MB
Tue Feb 21 10:04:49 2023  reading ideals above 100000
Tue Feb 21 10:04:49 2023  commencing singleton removal, initial pass
Tue Feb 21 10:04:59 2023  memory use: 94.1 MB
Tue Feb 21 10:04:59 2023  reading all ideals from disk
Tue Feb 21 10:04:59 2023  memory use: 94.7 MB
Tue Feb 21 10:04:59 2023  keeping 3735759 ideals with weight <= 200, target excess is 20018
Tue Feb 21 10:04:59 2023  commencing in-memory singleton removal
Tue Feb 21 10:04:59 2023  begin with 3081098 relations and 3735759 unique ideals
Tue Feb 21 10:04:59 2023  reduce to 518209 relations and 582842 ideals in 34 passes
Tue Feb 21 10:04:59 2023  max relations containing the same ideal: 50
Tue Feb 21 10:04:59 2023  filtering wants 1000000 more relations
Tue Feb 21 10:04:59 2023  elapsed time 00:00:20
-> makeJobFile(): Adjusted to q0=1300001, q1=1400000.
->               client 1 q0: 1300001
      LatSieveTime: 38
        LatSieveTime: 41
        LatSieveTime: 40
        LatSieveTime: 42
        LatSieveTime: 42
        LatSieveTime: 43
        LatSieveTime: 43
        LatSieveTime: 43
        LatSieveTime: 43
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 50
        LatSieveTime: 50
        LatSieveTime: 50
        LatSieveTime: 51
        LatSieveTime: 52
        LatSieveTime: 52
Tue Feb 21 10:05:55 2023  
Tue Feb 21 10:05:55 2023  
Tue Feb 21 10:05:55 2023  Msieve v. 1.52 (SVN 927)
Tue Feb 21 10:05:55 2023  random seeds: ef255cb0 29a1ea40
Tue Feb 21 10:05:55 2023  factoring 6018392946547432860981736289903766463318685482196097724554749768354722225736584897589620331031229079 (100 digits)
Tue Feb 21 10:05:56 2023  searching for 15-digit factors
Tue Feb 21 10:05:56 2023  commencing number field sieve (100-digit input)
Tue Feb 21 10:05:56 2023  R0: -8441451044519282816
Tue Feb 21 10:05:56 2023  R1: 51078431941
Tue Feb 21 10:05:56 2023  A0: -1087326343744805535525
Tue Feb 21 10:05:56 2023  A1: -53220563045695789560
Tue Feb 21 10:05:56 2023  A2: -20303253834379085
Tue Feb 21 10:05:56 2023  A3: -2377349480812
Tue Feb 21 10:05:56 2023  A4: 1490746986
Tue Feb 21 10:05:56 2023  A5: 140400
Tue Feb 21 10:05:56 2023  skew 4318.83, size 1.474e-009, alpha -6.154, combined = 3.234e-009 rroots = 3
Tue Feb 21 10:05:56 2023  
Tue Feb 21 10:05:56 2023  commencing relation filtering
Tue Feb 21 10:05:56 2023  estimated available RAM is 65413.5 MB
Tue Feb 21 10:05:56 2023  commencing duplicate removal, pass 1
Tue Feb 21 10:06:03 2023  found 411087 hash collisions in 4031054 relations
Tue Feb 21 10:06:07 2023  added 1210 free relations
Tue Feb 21 10:06:07 2023  commencing duplicate removal, pass 2
Tue Feb 21 10:06:08 2023  found 239304 duplicates and 3792960 unique relations
Tue Feb 21 10:06:08 2023  memory use: 12.3 MB
Tue Feb 21 10:06:08 2023  reading ideals above 100000
Tue Feb 21 10:06:08 2023  commencing singleton removal, initial pass
Tue Feb 21 10:06:19 2023  memory use: 94.1 MB
Tue Feb 21 10:06:19 2023  reading all ideals from disk
Tue Feb 21 10:06:19 2023  memory use: 116.7 MB
Tue Feb 21 10:06:20 2023  keeping 4139757 ideals with weight <= 200, target excess is 22455
Tue Feb 21 10:06:20 2023  commencing in-memory singleton removal
Tue Feb 21 10:06:20 2023  begin with 3792960 relations and 4139757 unique ideals
Tue Feb 21 10:06:20 2023  reduce to 1306084 relations and 1183420 ideals in 15 passes
Tue Feb 21 10:06:20 2023  max relations containing the same ideal: 95
Tue Feb 21 10:06:21 2023  removing 280379 relations and 232071 ideals in 48308 cliques
Tue Feb 21 10:06:21 2023  commencing in-memory singleton removal
Tue Feb 21 10:06:21 2023  begin with 1025705 relations and 1183420 unique ideals
Tue Feb 21 10:06:21 2023  reduce to 978252 relations and 901628 ideals in 12 passes
Tue Feb 21 10:06:21 2023  max relations containing the same ideal: 80
Tue Feb 21 10:06:21 2023  removing 218779 relations and 170471 ideals in 48308 cliques
Tue Feb 21 10:06:21 2023  commencing in-memory singleton removal
Tue Feb 21 10:06:21 2023  begin with 759473 relations and 901628 unique ideals
Tue Feb 21 10:06:21 2023  reduce to 720219 relations and 689950 ideals in 9 passes
Tue Feb 21 10:06:21 2023  max relations containing the same ideal: 61
Tue Feb 21 10:06:21 2023  relations with 0 large ideals: 85
Tue Feb 21 10:06:21 2023  relations with 1 large ideals: 270
Tue Feb 21 10:06:21 2023  relations with 2 large ideals: 4564
Tue Feb 21 10:06:21 2023  relations with 3 large ideals: 31131
Tue Feb 21 10:06:21 2023  relations with 4 large ideals: 105292
Tue Feb 21 10:06:21 2023  relations with 5 large ideals: 197844
Tue Feb 21 10:06:21 2023  relations with 6 large ideals: 209109
Tue Feb 21 10:06:21 2023  relations with 7+ large ideals: 171924
Tue Feb 21 10:06:21 2023  commencing 2-way merge
Tue Feb 21 10:06:21 2023  reduce to 412601 relation sets and 382332 unique ideals
Tue Feb 21 10:06:21 2023  commencing full merge
Tue Feb 21 10:06:25 2023  memory use: 46.2 MB
Tue Feb 21 10:06:25 2023  found 199426 cycles, need 192532
Tue Feb 21 10:06:25 2023  weight of 192532 cycles is about 13498938 (70.11/cycle)
Tue Feb 21 10:06:25 2023  distribution of cycle lengths:
Tue Feb 21 10:06:25 2023  1 relations: 18436
Tue Feb 21 10:06:25 2023  2 relations: 18598
Tue Feb 21 10:06:25 2023  3 relations: 18996
Tue Feb 21 10:06:25 2023  4 relations: 18253
Tue Feb 21 10:06:25 2023  5 relations: 17412
Tue Feb 21 10:06:25 2023  6 relations: 16165
Tue Feb 21 10:06:25 2023  7 relations: 14581
Tue Feb 21 10:06:25 2023  8 relations: 12701
Tue Feb 21 10:06:25 2023  9 relations: 11117
Tue Feb 21 10:06:25 2023  10+ relations: 46273
Tue Feb 21 10:06:25 2023  heaviest cycle: 20 relations
Tue Feb 21 10:06:25 2023  commencing cycle optimization
Tue Feb 21 10:06:25 2023  start with 1261937 relations
Tue Feb 21 10:06:27 2023  pruned 32449 relations
Tue Feb 21 10:06:27 2023  memory use: 40.8 MB
Tue Feb 21 10:06:27 2023  distribution of cycle lengths:
Tue Feb 21 10:06:27 2023  1 relations: 18436
Tue Feb 21 10:06:27 2023  2 relations: 19022
Tue Feb 21 10:06:27 2023  3 relations: 19625
Tue Feb 21 10:06:27 2023  4 relations: 18742
Tue Feb 21 10:06:27 2023  5 relations: 17927
Tue Feb 21 10:06:27 2023  6 relations: 16462
Tue Feb 21 10:06:27 2023  7 relations: 14920
Tue Feb 21 10:06:27 2023  8 relations: 12875
Tue Feb 21 10:06:27 2023  9 relations: 11295
Tue Feb 21 10:06:27 2023  10+ relations: 43228
Tue Feb 21 10:06:27 2023  heaviest cycle: 20 relations
Tue Feb 21 10:06:27 2023  RelProcTime: 31
Tue Feb 21 10:06:27 2023  elapsed time 00:00:32
Tue Feb 21 10:06:27 2023  
Tue Feb 21 10:06:27 2023  
Tue Feb 21 10:06:27 2023  Msieve v. 1.52 (SVN 927)
Tue Feb 21 10:06:27 2023  random seeds: 78eb6ad0 cb93df87
Tue Feb 21 10:06:27 2023  factoring 6018392946547432860981736289903766463318685482196097724554749768354722225736584897589620331031229079 (100 digits)
Tue Feb 21 10:06:27 2023  searching for 15-digit factors
Tue Feb 21 10:06:27 2023  commencing number field sieve (100-digit input)
Tue Feb 21 10:06:27 2023  R0: -8441451044519282816
Tue Feb 21 10:06:27 2023  R1: 51078431941
Tue Feb 21 10:06:27 2023  A0: -1087326343744805535525
Tue Feb 21 10:06:27 2023  A1: -53220563045695789560
Tue Feb 21 10:06:27 2023  A2: -20303253834379085
Tue Feb 21 10:06:27 2023  A3: -2377349480812
Tue Feb 21 10:06:27 2023  A4: 1490746986
Tue Feb 21 10:06:27 2023  A5: 140400
Tue Feb 21 10:06:27 2023  skew 4318.83, size 1.474e-009, alpha -6.154, combined = 3.234e-009 rroots = 3
Tue Feb 21 10:06:27 2023  
Tue Feb 21 10:06:27 2023  commencing linear algebra
Tue Feb 21 10:06:27 2023  read 192532 cycles
Tue Feb 21 10:06:27 2023  cycles contain 671839 unique relations
Tue Feb 21 10:06:29 2023  read 671839 relations
Tue Feb 21 10:06:29 2023  using 20 quadratic characters above 67101614
Tue Feb 21 10:06:31 2023  building initial matrix
Tue Feb 21 10:06:34 2023  memory use: 83.0 MB
Tue Feb 21 10:06:34 2023  read 192532 cycles
Tue Feb 21 10:06:34 2023  matrix is 192349 x 192532 (57.8 MB) with weight 18429064 (95.72/col)
Tue Feb 21 10:06:34 2023  sparse part has weight 12829843 (66.64/col)
Tue Feb 21 10:06:35 2023  filtering completed in 2 passes
Tue Feb 21 10:06:35 2023  matrix is 191915 x 192098 (57.7 MB) with weight 18404625 (95.81/col)
Tue Feb 21 10:06:35 2023  sparse part has weight 12818923 (66.73/col)
Tue Feb 21 10:06:35 2023  matrix starts at (0, 0)
Tue Feb 21 10:06:35 2023  matrix is 191915 x 192098 (57.7 MB) with weight 18404625 (95.81/col)
Tue Feb 21 10:06:35 2023  sparse part has weight 12818923 (66.73/col)
Tue Feb 21 10:06:35 2023  saving the first 48 matrix rows for later
Tue Feb 21 10:06:35 2023  matrix includes 64 packed rows
Tue Feb 21 10:06:35 2023  matrix is 191867 x 192098 (55.2 MB) with weight 14695902 (76.50/col)
Tue Feb 21 10:06:35 2023  sparse part has weight 12536362 (65.26/col)
Tue Feb 21 10:06:35 2023  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Tue Feb 21 10:06:36 2023  commencing Lanczos iteration
Tue Feb 21 10:06:36 2023  memory use: 41.5 MB
Tue Feb 21 10:06:40 2023  linear algebra at 6.3%, ETA 0h 0m
Tue Feb 21 10:07:47 2023  lanczos halted after 3036 iterations (dim = 191865)
Tue Feb 21 10:07:48 2023  recovered 30 nontrivial dependencies
Tue Feb 21 10:07:48 2023  BLanczosTime: 81
Tue Feb 21 10:07:48 2023  elapsed time 00:01:21
Tue Feb 21 10:07:48 2023  
Tue Feb 21 10:07:48 2023  
Tue Feb 21 10:07:48 2023  Msieve v. 1.52 (SVN 927)
Tue Feb 21 10:07:48 2023  random seeds: a7e53524 e289ed93
Tue Feb 21 10:07:48 2023  factoring 6018392946547432860981736289903766463318685482196097724554749768354722225736584897589620331031229079 (100 digits)
Tue Feb 21 10:07:48 2023  searching for 15-digit factors
Tue Feb 21 10:07:48 2023  commencing number field sieve (100-digit input)
Tue Feb 21 10:07:48 2023  R0: -8441451044519282816
Tue Feb 21 10:07:48 2023  R1: 51078431941
Tue Feb 21 10:07:48 2023  A0: -1087326343744805535525
Tue Feb 21 10:07:48 2023  A1: -53220563045695789560
Tue Feb 21 10:07:48 2023  A2: -20303253834379085
Tue Feb 21 10:07:48 2023  A3: -2377349480812
Tue Feb 21 10:07:48 2023  A4: 1490746986
Tue Feb 21 10:07:48 2023  A5: 140400
Tue Feb 21 10:07:48 2023  skew 4318.83, size 1.474e-009, alpha -6.154, combined = 3.234e-009 rroots = 3
Tue Feb 21 10:07:48 2023  
Tue Feb 21 10:07:48 2023  commencing square root phase
Tue Feb 21 10:07:48 2023  reading relations for dependency 1
Tue Feb 21 10:07:48 2023  read 95881 cycles
Tue Feb 21 10:07:48 2023  cycles contain 335488 unique relations
Tue Feb 21 10:07:49 2023  read 335488 relations
Tue Feb 21 10:07:50 2023  multiplying 335488 relations
Tue Feb 21 10:07:56 2023  multiply complete, coefficients have about 14.51 million bits
Tue Feb 21 10:07:56 2023  initial square root is modulo 216426871
Tue Feb 21 10:08:03 2023  sqrtTime: 15
Tue Feb 21 10:08:03 2023  prp46 factor: 5108867914963575567492436775547465215723937421
Tue Feb 21 10:08:03 2023  prp55 factor: 1178028683990813625737226210277362204210884088553336499
Tue Feb 21 10:08:03 2023  elapsed time 00:00:15
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10163+53

c125

name 名前Bob Backstrom
date 日付March 7, 2023 08:32:04 UTC 2023 年 3 月 7 日 (火) 17 時 32 分 4 秒 (日本時間)
composite number 合成数
72293050964643132860069733007545089303660727659055862957331403036910945947365393421821714203962100253115196589846485539792137<125>
prime factors 素因数
1332431139228218369824820449429259967526321156133<49>
54256500644766755732899262708154084395317922049308658915055063696056164551189<77>
factorization results 素因数分解の結果
Number: n
N=72293050964643132860069733007545089303660727659055862957331403036910945947365393421821714203962100253115196589846485539792137  ( 125 digits)
SNFS difficulty: 163 digits.
Divisors found:

Tue Mar  7 16:59:58 2023  prp49 factor: 1332431139228218369824820449429259967526321156133
Tue Mar  7 16:59:58 2023  prp77 factor: 54256500644766755732899262708154084395317922049308658915055063696056164551189
Tue Mar  7 16:59:58 2023  elapsed time 00:13:03 (Msieve 1.44 - dependency 10)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
#
# N = 28x10^163+5 = 93(162)5
#
n: 72293050964643132860069733007545089303660727659055862957331403036910945947365393421821714203962100253115196589846485539792137
m: 200000000000000000000000000000000
deg: 5
c5: 175
c0: 1
skew: 0.36
# Murphy_E = 5.673e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 20300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1231857 hash collisions in 13626501 relations (13277053 unique)
Msieve: matrix is 483732 x 483960 (135.1 MB)

Sieving start time: 2023/03/07 14:47:53
Sieving end time  : 2023/03/07 16:46:20

Total sieving time: 1hrs 58min 27secs.

Total relation processing time: 0hrs 5min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 38sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10164+53

c131

name 名前Bob Backstrom
date 日付March 8, 2023 12:30:08 UTC 2023 年 3 月 8 日 (水) 21 時 30 分 8 秒 (日本時間)
composite number 合成数
61447624164414968266379252940454557846318754904647537586641477840271079406315141590069965717407774858301400938854284080081874731701<131>
prime factors 素因数
148058998105170244299017290778569755358639<42>
415021207429534856718008737244636769747362651755289584615006774243446507735945991570148059<90>
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 61447624164414968266379252940454557846318754904647537586641477840271079406315141590069965717407774858301400938854284080081874731701 (131 digits)
Using B1=30080000, B2=144289285156, polynomial Dickson(12), sigma=1:993168803
Step 1 took 47147ms
Step 2 took 19570ms
********** Factor found in step 2: 148058998105170244299017290778569755358639
Found prime factor of 42 digits: 148058998105170244299017290778569755358639
Prime cofactor 415021207429534856718008737244636769747362651755289584615006774243446507735945991570148059 has 90 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10165+53

c125

name 名前Norman Powell
date 日付March 18, 2023 00:24:44 UTC 2023 年 3 月 18 日 (土) 9 時 24 分 44 秒 (日本時間)
composite number 合成数
29704184149732985312994566382111414762625479255811674540745202292528102415379226054165941264742773977897106225460386026255843<125>
prime factors 素因数
3472435863980580508255854889272754235889890281785962821<55>
8554278700393904541700696528259959433462964779292956067327404117227783<70>
factorization results 素因数分解の結果
nfs: commencing nfs on c125: 29704184149732985312994566382111414762625479255811674540745202292528102415379226054165941264742773977897106225460386026255843
nfs: commencing poly selection with 6 threads
nfs: setting deadline of 4517 seconds
nfs: completed 47 ranges of size 250 in 4585.2199 seconds
nfs: best poly = # norm 6.480022e-012 alpha -8.073316 e 1.549e-010 rroots 3
nfs: commencing lattice sieving with 6 threads
nfa: commencing msieve filtering
nfs: commencing msieve linear algebra
nfs: commencing msieve sqrt
prp70 = 8554278700393904541700696528259959433462964779292956067327404117227783
prp55 = 3472435863980580508255854889272754235889890281785962821
NFS elapsed time = 45001.3316 seconds.
Total factoring time = 59303.6240 seconds
software ソフトウェア
YAFU v1.50 r373
execution environment 実行環境
Windows 10 v22H2, Intel Xeon E5-1620

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10166+53

c138

name 名前Bob Backstrom
date 日付March 10, 2023 03:04:24 UTC 2023 年 3 月 10 日 (金) 12 時 4 分 24 秒 (日本時間)
composite number 合成数
612234925448568989784327723294960919721444319435810982405519008381638131926126249473466402826767291960173890077267827048276931802007866049<138>
prime factors 素因数
58542937732211571923266343506787964254760415406163890448133<59>
10457878425047062281795075069008180954783248173964419950739529898486494739655053<80>
factorization results 素因数分解の結果
Number: n
N=612234925448568989784327723294960919721444319435810982405519008381638131926126249473466402826767291960173890077267827048276931802007866049  ( 138 digits)
SNFS difficulty: 166 digits.
Divisors found:

Fri Mar 10 13:57:46 2023  prp59 factor: 58542937732211571923266343506787964254760415406163890448133
Fri Mar 10 13:57:46 2023  prp80 factor: 10457878425047062281795075069008180954783248173964419950739529898486494739655053
Fri Mar 10 13:57:46 2023  elapsed time 00:11:57 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.006).
Factorization parameters were as follows:
#
# N = 28x10^166+5 = 93(165)5
#
n: 612234925448568989784327723294960919721444319435810982405519008381638131926126249473466402826767291960173890077267827048276931802007866049
m: 1000000000000000000000000000000000
deg: 5
c5: 56
c0: 1
skew: 0.45
# Murphy_E = 4.989e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 6100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1725026 hash collisions in 15634395 relations (14886523 unique)
Msieve: matrix is 513731 x 513971 (142.6 MB)

Sieving start time: 2023/03/10 12:52:29
Sieving end time  : 2023/03/10 13:45:33

Total sieving time: 0hrs 53min 4secs.

Total relation processing time: 0hrs 7min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 30sec.

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10169+53

c104

name 名前Ignacio Santos
date 日付February 21, 2023 10:53:52 UTC 2023 年 2 月 21 日 (火) 19 時 53 分 52 秒 (日本時間)
composite number 合成数
27117939010615462191011403973330825331815862889271950615932269690796763125346003936132501871137910957001<104>
prime factors 素因数
877553430919545135051487270997218918427867536209263<51>
30901752594368990077669372043171654128881794138656327<53>
factorization results 素因数分解の結果
-> makeJobFile(): Adjusted to q0=1150000, q1=1250000.
->               client 1 q0: 1150000
      LatSieveTime: 39
        LatSieveTime: 40
        LatSieveTime: 40
        LatSieveTime: 41
        LatSieveTime: 43
        LatSieveTime: 43
        LatSieveTime: 44
        LatSieveTime: 45
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 49
        LatSieveTime: 48
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 50
        LatSieveTime: 50
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 52
        LatSieveTime: 53
        LatSieveTime: 53
        LatSieveTime: 53
        LatSieveTime: 53
        LatSieveTime: 54
        LatSieveTime: 55
        LatSieveTime: 55
-> makeJobFile(): Adjusted to q0=1250001, q1=1350000.
->               client 1 q0: 1250001
      LatSieveTime: 40
        LatSieveTime: 41
        LatSieveTime: 41
        LatSieveTime: 43
        LatSieveTime: 43
        LatSieveTime: 43
        LatSieveTime: 43
        LatSieveTime: 43
        LatSieveTime: 43
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 47
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 50
        LatSieveTime: 50
        LatSieveTime: 50
        LatSieveTime: 50
        LatSieveTime: 51
        LatSieveTime: 50
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 52
        LatSieveTime: 52
        LatSieveTime: 56
-> makeJobFile(): Adjusted to q0=1350001, q1=1450000.
->               client 1 q0: 1350001
      LatSieveTime: 38
        LatSieveTime: 40
        LatSieveTime: 41
        LatSieveTime: 41
        LatSieveTime: 42
        LatSieveTime: 43
        LatSieveTime: 43
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 46
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 50
        LatSieveTime: 50
        LatSieveTime: 50
        LatSieveTime: 50
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 52
        LatSieveTime: 52
        LatSieveTime: 52
        LatSieveTime: 52
        LatSieveTime: 52
        LatSieveTime: 53
        LatSieveTime: 53
        LatSieveTime: 54
        LatSieveTime: 55
        LatSieveTime: 55
-> makeJobFile(): Adjusted to q0=1450001, q1=1550000.
->               client 1 q0: 1450001
      LatSieveTime: 39
        LatSieveTime: 40
        LatSieveTime: 40
        LatSieveTime: 41
        LatSieveTime: 41
        LatSieveTime: 41
        LatSieveTime: 43
        LatSieveTime: 42
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 48
        LatSieveTime: 47
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 50
        LatSieveTime: 50
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 52
        LatSieveTime: 52
        LatSieveTime: 53
        LatSieveTime: 53
        LatSieveTime: 53
-> makeJobFile(): Adjusted to q0=1550001, q1=1650000.
->               client 1 q0: 1550001
      LatSieveTime: 40
        LatSieveTime: 41
        LatSieveTime: 41
        LatSieveTime: 42
        LatSieveTime: 42
        LatSieveTime: 43
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 45
        LatSieveTime: 44
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 50
        LatSieveTime: 50
        LatSieveTime: 50
        LatSieveTime: 50
        LatSieveTime: 50
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 53
        LatSieveTime: 55
        LatSieveTime: 56
-> makeJobFile(): Adjusted to q0=1650001, q1=1750000.
->               client 1 q0: 1650001
      LatSieveTime: 38
        LatSieveTime: 40
        LatSieveTime: 40
        LatSieveTime: 41
        LatSieveTime: 43
        LatSieveTime: 43
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 50
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 52
        LatSieveTime: 52
        LatSieveTime: 52
        LatSieveTime: 52
        LatSieveTime: 52
        LatSieveTime: 52
        LatSieveTime: 53
        LatSieveTime: 53
        LatSieveTime: 53
        LatSieveTime: 55
        LatSieveTime: 56
        LatSieveTime: 58
-> makeJobFile(): Adjusted to q0=1750001, q1=1850000.
->               client 1 q0: 1750001
      LatSieveTime: 39
        LatSieveTime: 40
        LatSieveTime: 42
        LatSieveTime: 42
        LatSieveTime: 43
        LatSieveTime: 43
        LatSieveTime: 43
        LatSieveTime: 43
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 50
        LatSieveTime: 50
        LatSieveTime: 50
        LatSieveTime: 50
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 52
        LatSieveTime: 52
        LatSieveTime: 54
        LatSieveTime: 54
        LatSieveTime: 54
        LatSieveTime: 56
        LatSieveTime: 57
Tue Feb 21 11:48:09 2023  
Tue Feb 21 11:48:09 2023  
Tue Feb 21 11:48:09 2023  Msieve v. 1.52 (SVN 927)
Tue Feb 21 11:48:09 2023  random seeds: 88f05b60 1b3d96c2
Tue Feb 21 11:48:09 2023  factoring 27117939010615462191011403973330825331815862889271950615932269690796763125346003936132501871137910957001 (104 digits)
Tue Feb 21 11:48:10 2023  searching for 15-digit factors
Tue Feb 21 11:48:10 2023  commencing number field sieve (104-digit input)
Tue Feb 21 11:48:10 2023  R0: -64818362206617902215
Tue Feb 21 11:48:10 2023  R1: 118565849303
Tue Feb 21 11:48:10 2023  A0: 2070843222804757715098512
Tue Feb 21 11:48:10 2023  A1: 758836454043097028484
Tue Feb 21 11:48:10 2023  A2: -58686712825948437
Tue Feb 21 11:48:10 2023  A3: -29231778235454
Tue Feb 21 11:48:10 2023  A4: 539064170
Tue Feb 21 11:48:10 2023  A5: 23700
Tue Feb 21 11:48:10 2023  skew 12032.31, size 6.166e-010, alpha -5.982, combined = 2.019e-009 rroots = 3
Tue Feb 21 11:48:10 2023  
Tue Feb 21 11:48:10 2023  commencing relation filtering
Tue Feb 21 11:48:10 2023  estimated available RAM is 65413.5 MB
Tue Feb 21 11:48:10 2023  commencing duplicate removal, pass 1
Tue Feb 21 11:48:18 2023  found 449781 hash collisions in 4224933 relations
Tue Feb 21 11:48:22 2023  added 31327 free relations
Tue Feb 21 11:48:22 2023  commencing duplicate removal, pass 2
Tue Feb 21 11:48:23 2023  found 265095 duplicates and 3991165 unique relations
Tue Feb 21 11:48:23 2023  memory use: 20.6 MB
Tue Feb 21 11:48:23 2023  reading ideals above 100000
Tue Feb 21 11:48:23 2023  commencing singleton removal, initial pass
Tue Feb 21 11:48:35 2023  memory use: 94.1 MB
Tue Feb 21 11:48:35 2023  reading all ideals from disk
Tue Feb 21 11:48:36 2023  memory use: 126.8 MB
Tue Feb 21 11:48:36 2023  keeping 4539638 ideals with weight <= 200, target excess is 22524
Tue Feb 21 11:48:36 2023  commencing in-memory singleton removal
Tue Feb 21 11:48:36 2023  begin with 3991165 relations and 4539638 unique ideals
Tue Feb 21 11:48:37 2023  reduce to 1165620 relations and 1164075 ideals in 18 passes
Tue Feb 21 11:48:37 2023  max relations containing the same ideal: 81
Tue Feb 21 11:48:37 2023  filtering wants 1000000 more relations
Tue Feb 21 11:48:37 2023  elapsed time 00:00:28
-> makeJobFile(): Adjusted to q0=1850001, q1=1950000.
->               client 1 q0: 1850001
   LatSieveTime: 38
        LatSieveTime: 41
        LatSieveTime: 41
        LatSieveTime: 42
        LatSieveTime: 43
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 44
        LatSieveTime: 45
        LatSieveTime: 45
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 46
        LatSieveTime: 47
        LatSieveTime: 46
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 47
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 48
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 49
        LatSieveTime: 50
        LatSieveTime: 50
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 51
        LatSieveTime: 52
        LatSieveTime: 52
        LatSieveTime: 53
        LatSieveTime: 53
        LatSieveTime: 54
        LatSieveTime: 54
        LatSieveTime: 55
        LatSieveTime: 56
Tue Feb 21 11:49:36 2023  
Tue Feb 21 11:49:36 2023  
Tue Feb 21 11:49:36 2023  Msieve v. 1.52 (SVN 927)
Tue Feb 21 11:49:36 2023  random seeds: d93713c0 a3f33ef5
Tue Feb 21 11:49:36 2023  factoring 27117939010615462191011403973330825331815862889271950615932269690796763125346003936132501871137910957001 (104 digits)
Tue Feb 21 11:49:36 2023  searching for 15-digit factors
Tue Feb 21 11:49:37 2023  commencing number field sieve (104-digit input)
Tue Feb 21 11:49:37 2023  R0: -64818362206617902215
Tue Feb 21 11:49:37 2023  R1: 118565849303
Tue Feb 21 11:49:37 2023  A0: 2070843222804757715098512
Tue Feb 21 11:49:37 2023  A1: 758836454043097028484
Tue Feb 21 11:49:37 2023  A2: -58686712825948437
Tue Feb 21 11:49:37 2023  A3: -29231778235454
Tue Feb 21 11:49:37 2023  A4: 539064170
Tue Feb 21 11:49:37 2023  A5: 23700
Tue Feb 21 11:49:37 2023  skew 12032.31, size 6.166e-010, alpha -5.982, combined = 2.019e-009 rroots = 3
Tue Feb 21 11:49:37 2023  
Tue Feb 21 11:49:37 2023  commencing relation filtering
Tue Feb 21 11:49:37 2023  estimated available RAM is 65413.5 MB
Tue Feb 21 11:49:37 2023  commencing duplicate removal, pass 1
Tue Feb 21 11:49:46 2023  found 453739 hash collisions in 4853265 relations
Tue Feb 21 11:49:50 2023  added 453 free relations
Tue Feb 21 11:49:50 2023  commencing duplicate removal, pass 2
Tue Feb 21 11:49:51 2023  found 335681 duplicates and 4518037 unique relations
Tue Feb 21 11:49:51 2023  memory use: 17.3 MB
Tue Feb 21 11:49:51 2023  reading ideals above 100000
Tue Feb 21 11:49:51 2023  commencing singleton removal, initial pass
Tue Feb 21 11:50:06 2023  memory use: 94.1 MB
Tue Feb 21 11:50:06 2023  reading all ideals from disk
Tue Feb 21 11:50:06 2023  memory use: 143.7 MB
Tue Feb 21 11:50:06 2023  keeping 4797324 ideals with weight <= 200, target excess is 24362
Tue Feb 21 11:50:06 2023  commencing in-memory singleton removal
Tue Feb 21 11:50:06 2023  begin with 4518037 relations and 4797324 unique ideals
Tue Feb 21 11:50:07 2023  reduce to 1781767 relations and 1600776 ideals in 16 passes
Tue Feb 21 11:50:07 2023  max relations containing the same ideal: 102
Tue Feb 21 11:50:07 2023  removing 407490 relations and 331124 ideals in 76366 cliques
Tue Feb 21 11:50:07 2023  commencing in-memory singleton removal
Tue Feb 21 11:50:07 2023  begin with 1374277 relations and 1600776 unique ideals
Tue Feb 21 11:50:08 2023  reduce to 1300140 relations and 1191548 ideals in 9 passes
Tue Feb 21 11:50:08 2023  max relations containing the same ideal: 84
Tue Feb 21 11:50:08 2023  removing 319462 relations and 243096 ideals in 76366 cliques
Tue Feb 21 11:50:08 2023  commencing in-memory singleton removal
Tue Feb 21 11:50:08 2023  begin with 980678 relations and 1191548 unique ideals
Tue Feb 21 11:50:08 2023  reduce to 918937 relations and 882957 ideals in 9 passes
Tue Feb 21 11:50:08 2023  max relations containing the same ideal: 67
Tue Feb 21 11:50:08 2023  relations with 0 large ideals: 94
Tue Feb 21 11:50:08 2023  relations with 1 large ideals: 258
Tue Feb 21 11:50:08 2023  relations with 2 large ideals: 4104
Tue Feb 21 11:50:08 2023  relations with 3 large ideals: 30608
Tue Feb 21 11:50:08 2023  relations with 4 large ideals: 113560
Tue Feb 21 11:50:08 2023  relations with 5 large ideals: 234291
Tue Feb 21 11:50:08 2023  relations with 6 large ideals: 273792
Tue Feb 21 11:50:08 2023  relations with 7+ large ideals: 262230
Tue Feb 21 11:50:08 2023  commencing 2-way merge
Tue Feb 21 11:50:08 2023  reduce to 532750 relation sets and 496770 unique ideals
Tue Feb 21 11:50:08 2023  commencing full merge
Tue Feb 21 11:50:14 2023  memory use: 62.1 MB
Tue Feb 21 11:50:14 2023  found 257240 cycles, need 246970
Tue Feb 21 11:50:14 2023  weight of 246970 cycles is about 17370230 (70.33/cycle)
Tue Feb 21 11:50:14 2023  distribution of cycle lengths:
Tue Feb 21 11:50:14 2023  1 relations: 24036
Tue Feb 21 11:50:14 2023  2 relations: 23552
Tue Feb 21 11:50:14 2023  3 relations: 24169
Tue Feb 21 11:50:14 2023  4 relations: 22852
Tue Feb 21 11:50:14 2023  5 relations: 22087
Tue Feb 21 11:50:14 2023  6 relations: 20354
Tue Feb 21 11:50:14 2023  7 relations: 18972
Tue Feb 21 11:50:14 2023  8 relations: 16826
Tue Feb 21 11:50:14 2023  9 relations: 14635
Tue Feb 21 11:50:14 2023  10+ relations: 59487
Tue Feb 21 11:50:14 2023  heaviest cycle: 20 relations
Tue Feb 21 11:50:14 2023  commencing cycle optimization
Tue Feb 21 11:50:14 2023  start with 1618573 relations
Tue Feb 21 11:50:16 2023  pruned 43083 relations
Tue Feb 21 11:50:16 2023  memory use: 51.9 MB
Tue Feb 21 11:50:16 2023  distribution of cycle lengths:
Tue Feb 21 11:50:16 2023  1 relations: 24036
Tue Feb 21 11:50:16 2023  2 relations: 24065
Tue Feb 21 11:50:16 2023  3 relations: 24917
Tue Feb 21 11:50:16 2023  4 relations: 23542
Tue Feb 21 11:50:16 2023  5 relations: 22843
Tue Feb 21 11:50:16 2023  6 relations: 20784
Tue Feb 21 11:50:16 2023  7 relations: 19560
Tue Feb 21 11:50:16 2023  8 relations: 16964
Tue Feb 21 11:50:16 2023  9 relations: 14796
Tue Feb 21 11:50:16 2023  10+ relations: 55463
Tue Feb 21 11:50:16 2023  heaviest cycle: 20 relations
Tue Feb 21 11:50:17 2023  RelProcTime: 40
Tue Feb 21 11:50:17 2023  elapsed time 00:00:41
Tue Feb 21 11:50:17 2023  
Tue Feb 21 11:50:17 2023  
Tue Feb 21 11:50:17 2023  Msieve v. 1.52 (SVN 927)
Tue Feb 21 11:50:17 2023  random seeds: 11ae3070 5fb074e3
Tue Feb 21 11:50:17 2023  factoring 27117939010615462191011403973330825331815862889271950615932269690796763125346003936132501871137910957001 (104 digits)
Tue Feb 21 11:50:17 2023  searching for 15-digit factors
Tue Feb 21 11:50:17 2023  commencing number field sieve (104-digit input)
Tue Feb 21 11:50:17 2023  R0: -64818362206617902215
Tue Feb 21 11:50:17 2023  R1: 118565849303
Tue Feb 21 11:50:17 2023  A0: 2070843222804757715098512
Tue Feb 21 11:50:17 2023  A1: 758836454043097028484
Tue Feb 21 11:50:17 2023  A2: -58686712825948437
Tue Feb 21 11:50:17 2023  A3: -29231778235454
Tue Feb 21 11:50:17 2023  A4: 539064170
Tue Feb 21 11:50:17 2023  A5: 23700
Tue Feb 21 11:50:17 2023  skew 12032.31, size 6.166e-010, alpha -5.982, combined = 2.019e-009 rroots = 3
Tue Feb 21 11:50:17 2023  
Tue Feb 21 11:50:17 2023  commencing linear algebra
Tue Feb 21 11:50:17 2023  read 246970 cycles
Tue Feb 21 11:50:17 2023  cycles contain 849282 unique relations
Tue Feb 21 11:50:19 2023  read 849282 relations
Tue Feb 21 11:50:20 2023  using 20 quadratic characters above 67106108
Tue Feb 21 11:50:22 2023  building initial matrix
Tue Feb 21 11:50:26 2023  memory use: 104.7 MB
Tue Feb 21 11:50:26 2023  read 246970 cycles
Tue Feb 21 11:50:26 2023  matrix is 246785 x 246970 (74.3 MB) with weight 23754151 (96.18/col)
Tue Feb 21 11:50:26 2023  sparse part has weight 16505261 (66.83/col)
Tue Feb 21 11:50:27 2023  filtering completed in 2 passes
Tue Feb 21 11:50:27 2023  matrix is 246305 x 246490 (74.2 MB) with weight 23726392 (96.26/col)
Tue Feb 21 11:50:27 2023  sparse part has weight 16492485 (66.91/col)
Tue Feb 21 11:50:27 2023  matrix starts at (0, 0)
Tue Feb 21 11:50:27 2023  matrix is 246305 x 246490 (74.2 MB) with weight 23726392 (96.26/col)
Tue Feb 21 11:50:27 2023  sparse part has weight 16492485 (66.91/col)
Tue Feb 21 11:50:27 2023  saving the first 48 matrix rows for later
Tue Feb 21 11:50:27 2023  matrix includes 64 packed rows
Tue Feb 21 11:50:27 2023  matrix is 246257 x 246490 (71.2 MB) with weight 18847614 (76.46/col)
Tue Feb 21 11:50:27 2023  sparse part has weight 16211918 (65.77/col)
Tue Feb 21 11:50:27 2023  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Tue Feb 21 11:50:28 2023  commencing Lanczos iteration (32 threads)
Tue Feb 21 11:50:28 2023  memory use: 54.8 MB
Tue Feb 21 11:50:33 2023  linear algebra at 4.9%, ETA 0h 1m
Tue Feb 21 11:52:13 2023  lanczos halted after 3895 iterations (dim = 246257)
Tue Feb 21 11:52:13 2023  recovered 31 nontrivial dependencies
Tue Feb 21 11:52:13 2023  BLanczosTime: 116
Tue Feb 21 11:52:13 2023  elapsed time 00:01:56
Tue Feb 21 11:52:13 2023  
Tue Feb 21 11:52:13 2023  
Tue Feb 21 11:52:13 2023  Msieve v. 1.52 (SVN 927)
Tue Feb 21 11:52:13 2023  random seeds: c864044c 2f9cd524
Tue Feb 21 11:52:13 2023  factoring 27117939010615462191011403973330825331815862889271950615932269690796763125346003936132501871137910957001 (104 digits)
Tue Feb 21 11:52:14 2023  searching for 15-digit factors
Tue Feb 21 11:52:14 2023  commencing number field sieve (104-digit input)
Tue Feb 21 11:52:14 2023  R0: -64818362206617902215
Tue Feb 21 11:52:14 2023  R1: 118565849303
Tue Feb 21 11:52:14 2023  A0: 2070843222804757715098512
Tue Feb 21 11:52:14 2023  A1: 758836454043097028484
Tue Feb 21 11:52:14 2023  A2: -58686712825948437
Tue Feb 21 11:52:14 2023  A3: -29231778235454
Tue Feb 21 11:52:14 2023  A4: 539064170
Tue Feb 21 11:52:14 2023  A5: 23700
Tue Feb 21 11:52:14 2023  skew 12032.31, size 6.166e-010, alpha -5.982, combined = 2.019e-009 rroots = 3
Tue Feb 21 11:52:14 2023  
Tue Feb 21 11:52:14 2023  commencing square root phase
Tue Feb 21 11:52:14 2023  reading relations for dependency 1
Tue Feb 21 11:52:14 2023  read 123376 cycles
Tue Feb 21 11:52:14 2023  cycles contain 425048 unique relations
Tue Feb 21 11:52:15 2023  read 425048 relations
Tue Feb 21 11:52:16 2023  multiplying 425048 relations
Tue Feb 21 11:52:24 2023  multiply complete, coefficients have about 17.96 million bits
Tue Feb 21 11:52:24 2023  initial square root is modulo 144163
Tue Feb 21 11:52:34 2023  GCD is 1, no factor found
Tue Feb 21 11:52:34 2023  reading relations for dependency 2
Tue Feb 21 11:52:34 2023  read 123170 cycles
Tue Feb 21 11:52:34 2023  cycles contain 424100 unique relations
Tue Feb 21 11:52:35 2023  read 424100 relations
Tue Feb 21 11:52:36 2023  multiplying 424100 relations
Tue Feb 21 11:52:44 2023  multiply complete, coefficients have about 17.92 million bits
Tue Feb 21 11:52:44 2023  initial square root is modulo 140333
Tue Feb 21 11:52:53 2023  GCD is 1, no factor found
Tue Feb 21 11:52:53 2023  reading relations for dependency 3
Tue Feb 21 11:52:53 2023  read 122918 cycles
Tue Feb 21 11:52:54 2023  cycles contain 423802 unique relations
Tue Feb 21 11:52:55 2023  read 423802 relations
Tue Feb 21 11:52:55 2023  multiplying 423802 relations
Tue Feb 21 11:53:03 2023  multiply complete, coefficients have about 17.90 million bits
Tue Feb 21 11:53:03 2023  initial square root is modulo 139241
Tue Feb 21 11:53:13 2023  GCD is 1, no factor found
Tue Feb 21 11:53:13 2023  reading relations for dependency 4
Tue Feb 21 11:53:13 2023  read 123811 cycles
Tue Feb 21 11:53:13 2023  cycles contain 426130 unique relations
Tue Feb 21 11:53:15 2023  read 426130 relations
Tue Feb 21 11:53:15 2023  multiplying 426130 relations
Tue Feb 21 11:53:23 2023  multiply complete, coefficients have about 18.00 million bits
Tue Feb 21 11:53:23 2023  initial square root is modulo 148537
Tue Feb 21 11:53:33 2023  sqrtTime: 79
Tue Feb 21 11:53:33 2023  prp51 factor: 877553430919545135051487270997218918427867536209263
Tue Feb 21 11:53:33 2023  prp53 factor: 30901752594368990077669372043171654128881794138656327
Tue Feb 21 11:53:33 2023  elapsed time 00:01:20
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10171+53

c130

name 名前Norman Powell
date 日付March 29, 2023 15:51:43 UTC 2023 年 3 月 30 日 (木) 0 時 51 分 43 秒 (日本時間)
composite number 合成数
3284834501170407747735702823828871344115248860624318118323809085137913032728379566521302828399412804128477881277142127746835096333<130>
prime factors 素因数
1213771729903930720502012961244704842803815569<46>
2706303351974098425296856830275068512223368047282204657016538301464086895136983508157<85>
factorization results 素因数分解の結果
nfs: commencing nfs on c130: 3284834501170407747735702823828871344115248860624318118323809085137913032728379566521302828399412804128477881277142127746835096333
nfs: commencing poly selection with 6 threads
nfs: setting deadline of 9035 seconds
nfs: completed 72 ranges of size 250 in 8824.7508 seconds
nfs: best poly = # norm 2.039666e-012 alpha -5.322775 e 8.308e-011 rroots 5
nfs: commencing lattice sieving with 6 threads
nfs: commencing msieve filtering
nfs: commencing msieve linear algebra
nfs: commencing msieve sqrt
prp85 = 2706303351974098425296856830275068512223368047282204657016538301464086895136983508157
prp46 = 1213771729903930720502012961244704842803815569
NFS elapsed time = 80639.9691 seconds.
software ソフトウェア
YAFU R373.
execution environment 実行環境
Windows 10 v22H2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62078Caleb BirtwistleMarch 23, 2023 11:31:58 UTC 2023 年 3 月 23 日 (木) 20 時 31 分 58 秒 (日本時間)

28×10176+53

c170

name 名前Bob Backstrom
date 日付March 22, 2023 07:37:21 UTC 2023 年 3 月 22 日 (水) 16 時 37 分 21 秒 (日本時間)
composite number 合成数
17256693031503911244883351996755002137518771661194291966667341526626291551767136212039396906928830347201274086298934550201368659139851845743530350224276919139173287921113<170>
prime factors 素因数
30831485935230680024586191185126366855688672729763332890995801954779864609007057353<83>
559710066123830411908065179777584225247796829220237777820266482921168371848579472683921<87>
factorization results 素因数分解の結果
Number: n
N=17256693031503911244883351996755002137518771661194291966667341526626291551767136212039396906928830347201274086298934550201368659139851845743530350224276919139173287921113  ( 170 digits)
SNFS difficulty: 176 digits.
Divisors found:

Tue Mar 14 07:55:55 2023  prp83 factor: 30831485935230680024586191185126366855688672729763332890995801954779864609007057353
Tue Mar 14 07:55:55 2023  prp87 factor: 559710066123830411908065179777584225247796829220237777820266482921168371848579472683921
Tue Mar 14 07:55:55 2023  elapsed time 00:20:45 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.090).
Factorization parameters were as follows:
#
# N = 28x10^176+5 = 93(175)5
#
n: 17256693031503911244883351996755002137518771661194291966667341526626291551767136212039396906928830347201274086298934550201368659139851845743530350224276919139173287921113
m: 100000000000000000000000000000000000
deg: 5
c5: 56
c0: 1
skew: 0.45
# Murphy_E = 1.996e-10
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1603168 hash collisions in 13190604 relations (12329194 unique)
Msieve: matrix is 764251 x 764476 (215.4 MB)

Sieving start time: 2023/03/14 05:55:52
Sieving end time  : 2023/03/14 07:34:57

Total sieving time: 1hrs 39min 5secs.

Total relation processing time: 0hrs 17min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 52sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,5900000,5900000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10178+53

c167

name 名前Bob Backstrom
date 日付March 16, 2023 15:40:48 UTC 2023 年 3 月 17 日 (金) 0 時 40 分 48 秒 (日本時間)
composite number 合成数
40151696084683361240107158157377640770636449556246036518588550773347280756073374235108830792441923991048455707704104028278038589201124307138870444032795529562169864867<167>
prime factors 素因数
124569814244807250737546326616457687458453<42>
322322838226092184452122782465707673650207186856374567002907084250777273329407283727668856801595489345352333693209143093668439<126>
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 40151696084683361240107158157377640770636449556246036518588550773347280756073374235108830792441923991048455707704104028278038589201124307138870444032795529562169864867 (167 digits)
Using B1=35080000, B2=192388936756, polynomial Dickson(12), sigma=1:780148329
Step 1 took 84918ms
Step 2 took 31430ms
********** Factor found in step 2: 124569814244807250737546326616457687458453
Found prime factor of 42 digits: 124569814244807250737546326616457687458453
Prime cofactor 322322838226092184452122782465707673650207186856374567002907084250777273329407283727668856801595489345352333693209143093668439 has 126 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10179+53

c134

name 名前Ignacio Santos
date 日付March 31, 2023 12:50:08 UTC 2023 年 3 月 31 日 (金) 21 時 50 分 8 秒 (日本時間)
composite number 合成数
25600498752154755263460789310913689389863826382425268862485113987700922925267968816659906702839968153468084718403967742436964273290301<134>
prime factors 素因数
5570499602658182567059506642287301716137<40>
4595727596845796790393991191976469284284255742138898277671583714040147352814676521555588697973<94>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:288004680
Step 1 took 4391ms
Step 2 took 2547ms
********** Factor found in step 2: 5570499602658182567059506642287301716137
Found prime factor of 40 digits: 5570499602658182567059506642287301716137
Prime cofactor 4595727596845796790393991191976469284284255742138898277671583714040147352814676521555588697973 has 94 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10180+53

c159

name 名前Bob Backstrom
date 日付March 22, 2023 02:45:39 UTC 2023 年 3 月 22 日 (水) 11 時 45 分 39 秒 (日本時間)
composite number 合成数
373568305379599069489318481471906361473000938576346300006318209629032867934518398285542030192746333601406030286690164194249107968761561241340622696139716592513<159>
prime factors 素因数
655422386685466808910650162063328143401735944971<48>
569965739603081657292058861328666688302622025535947688540455791061366834413928019530231451685250554169592525603<111>
factorization results 素因数分解の結果
Number: n
N=373568305379599069489318481471906361473000938576346300006318209629032867934518398285542030192746333601406030286690164194249107968761561241340622696139716592513  ( 159 digits)
SNFS difficulty: 181 digits.
Divisors found:

Wed Mar 22 10:31:58 2023  prp48 factor: 655422386685466808910650162063328143401735944971
Wed Mar 22 10:31:58 2023  prp111 factor: 569965739603081657292058861328666688302622025535947688540455791061366834413928019530231451685250554169592525603
Wed Mar 22 10:31:58 2023  elapsed time 00:26:12 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
#
# N = 28x10^180+5 = 93(179)5
#
n: 373568305379599069489318481471906361473000938576346300006318209629032867934518398285542030192746333601406030286690164194249107968761561241340622696139716592513
m: 1000000000000000000000000000000000000
deg: 5
c5: 28
c0: 5
skew: 0.71
# Murphy_E = 1.161e-10
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
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, 7650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1333408 hash collisions in 13998131 relations (13564634 unique)
Msieve: matrix is 859229 x 859458 (242.7 MB)

Sieving start time: 2023/03/22 07:17:30
Sieving end time  : 2023/03/22 10:05:32

Total sieving time: 2hrs 48min 2secs.

Total relation processing time: 0hrs 20min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 35sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7300000,7300000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10182+53

c158

name 名前Bob Backstrom
date 日付March 19, 2023 14:36:05 UTC 2023 年 3 月 19 日 (日) 23 時 36 分 5 秒 (日本時間)
composite number 合成数
64361401610416441539331118996484825105785578105094912461229094346276261082058844915648925088885649663433604965985703931636918657566530768681032049398685010597<158>
prime factors 素因数
5514545642445604279202014964961124321882111<43>
116034671211200469298694965438850093479016840274484717<54>
100583786712522494177820118093490669678733690916893761672464231<63>
factorization results 素因数分解の結果
Number: n
N=11671206620365062149547362539370291098142827284064696316033971655742459356300660356832528715269468638381831138657627  ( 116 digits)
Divisors found:

Sun Mar 19 23:50:53 2023  prp54 factor: 116034671211200469298694965438850093479016840274484717
Sun Mar 19 23:50:53 2023  prp63 factor: 100583786712522494177820118093490669678733690916893761672464231
Sun Mar 19 23:50:53 2023  elapsed time 00:06:29 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.099).
Factorization parameters were as follows:
#
# N = 28x10^182+5 = 93(181)5
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 64361401610416441539331118996484825105785578105094912461229094346276261082058844915648925088885649663433604965985703931636918657566530768681032049398685010597 (158 digits)
# Using B1=31190000, B2=144290666536, polynomial Dickson(12), sigma=1:3631805812
# Step 1 took 75413ms
# Step 2 took 24982ms
# ********** Factor found in step 2: 5514545642445604279202014964961124321882111
# Found prime factor of 43 digits: 5514545642445604279202014964961124321882111
# Composite cofactor 11671206620365062149547362539370291098142827284064696316033971655742459356300660356832528715269468638381831138657627 has 116 digits
#

n: 11671206620365062149547362539370291098142827284064696316033971655742459356300660356832528715269468638381831138657627

Y0: -54620450178286146297566
Y1: 6075934164523
c0: -1315134627746800632962301484191
c1: 4527986341210711201941570
c2: -6306281291894189957
c3: -21583531203932
c4: 63669766
c5: 24

skew 705207.82, size 4.586e-11, alpha -6.206, combined = 5.094e-10 rroots = 3

skew: 705207.82

type: gnfs
rlim: 2600000
alim: 2600000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 5300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 925417 hash collisions in 7906940 relations (7129843 unique)
Msieve: matrix is 366303 x 366528 (103.8 MB)

Sieving start time: 2023/03/19 22:57:36
Sieving end time  : 2023/03/19 23:44:13

Total sieving time: 0hrs 46min 37secs.

Total relation processing time: 0hrs 3min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 58sec.

Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2600000,2600000,26,26,49,49,2.6,2.6,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 18, 2023 16:53:34 UTC 2023 年 3 月 19 日 (日) 1 時 53 分 34 秒 (日本時間)

28×10186+53

c130

name 名前Norman Powell
date 日付April 30, 2023 14:17:42 UTC 2023 年 4 月 30 日 (日) 23 時 17 分 42 秒 (日本時間)
composite number 合成数
4763461864738252845299925603373455821864694119647600102169415188679865302517577549371576839958180370861461948692478222256598203641<130>
prime factors 素因数
51976903096242949505272279984197440173393017137235854293085257<62>
91645742262058135714616676356463371521313309102315634478381154052913<68>
factorization results 素因数分解の結果
n: 4763461864738252845299925603373455821864694119647600102169415188679865302517577549371576839958180370861461948692478222256598203641
skew: 332024.69
c0: 10548276307380618544789323690600
c1: 156102359144577541945739505
c2: 1423685141320292007398
c3: -2622293656752068
c4: -23571297298
c5: 15180
Y0: -12570118559286080013466421
Y1: 856420535636057
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5

nfs: commencing nfs on c130: 4763461864738252845299925603373455821864694119647600102169415188679865302517577549371576839958180370861461948692478222256598203641
nfs: commencing poly selection with 7 threads
nfs: setting deadline of 7744 seconds
nfs: expecting degree 5 poly E from 7.23e-11 to > 8.31e-11
nfs: searching for avg quality poly E > 7.49e-11
nfs: commencing lattice sieving with 7 threads
nfs: commencing msieve filtering
nfs: commencing msieve linear algebra
nfs: commencing msieve sqrt
prp68 = 91645742262058135714616676356463371521313309102315634478381154052913
prp62 = 51976903096242949505272279984197440173393017137235854293085257
NFS elapsed time = 31919.7894 seconds.
software ソフトウェア
YAFU v2.09
execution environment 実行環境
Windows 10 v22H, Intel i7-7700.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 28, 2023 13:03:43 UTC 2023 年 3 月 28 日 (火) 22 時 3 分 43 秒 (日本時間)

28×10187+53

c154

name 名前Bob Backstrom
date 日付March 24, 2023 21:14:07 UTC 2023 年 3 月 25 日 (土) 6 時 14 分 7 秒 (日本時間)
composite number 合成数
3827773818950583027496611429532642496545646148828043476357764925605162614484018099806981900493588470470794755641604838574137395920144754398222469164929119<154>
prime factors 素因数
15564619156082410431167649834181496143991036863<47>
245927881727497888334923646712011457713555662520709083696315234254483884811954408932296746360903850948457313<108>
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 3827773818950583027496611429532642496545646148828043476357764925605162614484018099806981900493588470470794755641604838574137395920144754398222469164929119 (154 digits)
Using B1=37140000, B2=192390318136, polynomial Dickson(12), sigma=1:1640157751
Step 1 took 76139ms
Step 2 took 27533ms
********** Factor found in step 2: 15564619156082410431167649834181496143991036863
Found prime factor of 47 digits: 15564619156082410431167649834181496143991036863
Prime cofactor 245927881727497888334923646712011457713555662520709083696315234254483884811954408932296746360903850948457313 has 108 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10189+53

c190

name 名前Bob Backstrom
date 日付March 30, 2023 18:59:55 UTC 2023 年 3 月 31 日 (金) 3 時 59 分 55 秒 (日本時間)
composite number 合成数
1866666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<190>
prime factors 素因数
10468747240717467271640731580271607837137325287335449<53>
178308504708796097581863882200409562778044952435880629354791663662361052845634510389598878039895881731092825473661325380793990133196195683<138>
factorization results 素因数分解の結果
Number: n
N=1866666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667  ( 190 digits)
SNFS difficulty: 189 digits.
Divisors found:

Fri Mar 31 05:52:13 2023  prp53 factor: 10468747240717467271640731580271607837137325287335449
Fri Mar 31 05:52:13 2023  prp138 factor: 178308504708796097581863882200409562778044952435880629354791663662361052845634510389598878039895881731092825473661325380793990133196195683
Fri Mar 31 05:52:13 2023  elapsed time 01:01:14 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.009).
Factorization parameters were as follows:
#
# N = 28x10^189+5 = 93(188)5
#
n: 1866666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
m: 20000000000000000000000000000000000000
deg: 5
c5: 1750
c0: 1
skew: 0.22
# Murphy_E = 4.726e-11
type: snfs
lss: 1
rlim: 10200000
alim: 10200000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10200000/10200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 16300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1743651 hash collisions in 15385424 relations (14581666 unique)
Msieve: matrix is 1294568 x 1294793 (365.1 MB)

Sieving start time: 2023/03/30 23:02:04
Sieving end time  : 2023/03/31 04:50:43

Total sieving time: 5hrs 48min 39secs.

Total relation processing time: 0hrs 49min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 22sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10200000,10200000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10191+53

c131

name 名前Lionel Debroux
date 日付March 14, 2023 22:05:28 UTC 2023 年 3 月 15 日 (水) 7 時 5 分 28 秒 (日本時間)
composite number 合成数
19063791396139679884141533126795308593942478573702536838239019872086126845802725581597959647179302453419367691155997719868720741031<131>
prime factors 素因数
235834281101287067253341110653626313748668774197564287513029241<63>
80835539715076813351662058032165983905698323082430398015701612316191<68>
factorization results 素因数分解の結果
80835539715076813351662058032165983905698323082430398015701612316191 235834281101287067253341110653626313748668774197564287513029241
software ソフトウェア
CADO-NFS
execution environment 実行環境
10 x Xeon L5640, Debian sid amd64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosFebruary 25, 2023 19:43:17 UTC 2023 年 2 月 26 日 (日) 4 時 43 分 17 秒 (日本時間)
4511e64480Ignacio SantosMarch 5, 2023 17:34:41 UTC 2023 年 3 月 6 日 (月) 2 時 34 分 41 秒 (日本時間)

28×10195+53

c178

name 名前Dmitry Domanov
date 日付March 5, 2023 17:54:15 UTC 2023 年 3 月 6 日 (月) 2 時 54 分 15 秒 (日本時間)
composite number 合成数
4255106106929475436767755037329286020882587345998478285585961780831278363390720469408344607785100839022834759532652589614645376771021993503515882304365147714890349377292650815277<178>
prime factors 素因数
164547057297311589962886796156929772339<39>
25859508986788768298943362861465443853460585116138377673662769648864336713901161664274717171415363559273435581408082269069619782097259277343<140>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1042594758
Step 1 took 9811ms
Step 2 took 4485ms
********** Factor found in step 2: 164547057297311589962886796156929772339
Found prime factor of 39 digits: 164547057297311589962886796156929772339
Prime cofactor 25859508986788768298943362861465443853460585116138377673662769648864336713901161664274717171415363559273435581408082269069619782097259277343 has 140 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 5, 2023 08:46:36 UTC 2023 年 3 月 5 日 (日) 17 時 46 分 36 秒 (日本時間)

28×10197+53

c167

name 名前ebina
date 日付March 20, 2023 20:38:51 UTC 2023 年 3 月 21 日 (火) 5 時 38 分 51 秒 (日本時間)
composite number 合成数
57397839802477629617389455894096785396550290039965826384087316636807420010559997815353469419816885584702627264790372417698454164362910334362823797422511606078507342067<167>
prime factors 素因数
129939888486523702666715347806411230838329801978356437455354429999788554097097917<81>
441726097128600059112455265276379472565244771478930505153048499846248879273719420419951<87>
factorization results 素因数分解の結果
Number: 93335_197
N = 57397839802477629617389455894096785396550290039965826384087316636807420010559997815353469419816885584702627264790372417698454164362910334362823797422511606078507342067 (167 digits)
SNFS difficulty: 198 digits.
Divisors found:
r1=129939888486523702666715347806411230838329801978356437455354429999788554097097917 (pp81)
r2=441726097128600059112455265276379472565244771478930505153048499846248879273719420419951 (pp87)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 12.87 hours.
Factorization parameters were as follows:
n: 57397839802477629617389455894096785396550290039965826384087316636807420010559997815353469419816885584702627264790372417698454164362910334362823797422511606078507342067
m: 1000000000000000000000000000000000000000
deg: 5
c5: 560
c0: 1
skew: 0.28
# Murphy_E = 2.633e-11
type: snfs
lss: 1
rlim: 13800000
alim: 13800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13800000/13800000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 26869801
Relations: 2449514 relations
Pruned matrix : 1632141 x 1632366
Total sieving time: 12.29 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.41 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: snfs,198,5,0,0,0,0,0,0,0,0,13800000,13800000,28,28,55,55,2.5,2.5,100000
total time: 12.87 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
processors: 16, speed: 3.60GHz
Windows-post2008Server-6.2.9200
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 5, 2023 08:46:45 UTC 2023 年 3 月 5 日 (日) 17 時 46 分 45 秒 (日本時間)

28×10198+53

c137

name 名前Eric Jeancolas
date 日付June 27, 2023 04:38:58 UTC 2023 年 6 月 27 日 (火) 13 時 38 分 58 秒 (日本時間)
composite number 合成数
22605218697152068911684312955592219562905535937863794450571525203997922916592804636748877672973774980331766598975439369461595990908436809<137>
prime factors 素因数
9094391935807581249840197457276773566262019410213001825252743<61>
2485621782820681497897634554366845603580644256890497877035290010723760998063<76>
factorization results 素因数分解の結果
22605218697152068911684312955592219562905535937863794450571525203997922916592804636748877672973774980331766598975439369461595990908436809=9094391935807581249840197457276773566262019410213001825252743*2485621782820681497897634554366845603580644256890497877035290010723760998063 9094391935807581249840197457276773566262019410213001825252743

cado polynomial
n: 22605218697152068911684312955592219562905535937863794450571525203997922916592804636748877672973774980331766598975439369461595990908436809
skew: 172519.903
c0: -9971210638089145999999097786979
c1: 74112910992066130788679011
c2: -619931712326940811286
c3: -8668265945131715
c4: 3835847741
c5: 107100
Y0: -184024625202784857350481752
Y1: 470449668706987717
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 9.869e-08
# f(x) = 107100*x^5+3835847741*x^4-8668265945131715*x^3-619931712326940811286*x^2+74112910992066130788679011*x-9971210638089145999999097786979
# g(x) = 470449668706987717*x-184024625202784857350481752

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2485621782820681497897634554366845603580644256890497877035290010723760998063 9094391935807581249840197457276773566262019410213001825252743
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1520.57/81.5059
Info:HTTP server: Got notification to stop serving Workunits
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4738.95
Info:Polynomial Selection (root optimized): Rootsieve time: 4737.2
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17586500
Info:Lattice Sieving: Average J: 3807.37 for 886163 special-q, max bucket fill -bkmult 1.0,1s:1.317420
Info:Lattice Sieving: Total time: 250642s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 57123.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 39286/39.960/49.017/53.070/0.956
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 32113/39.960/43.808/49.700/1.088
Info:Polynomial Selection (size optimized): Total time: 7967.91
Info:Square Root: Total cpu/real time for sqrt: 1520.57/81.5059
Info:Generate Factor Base: Total cpu/real time for makefb: 5.91/0.780964
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 72.13/53.8985
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 53.50000000000001s
Info:Quadratic Characters: Total cpu/real time for characters: 39.27/7.58498
Info:Filtering - Singleton removal: Total cpu/real time for purge: 154.29/110.058
Info:Generate Free Relations: Total cpu/real time for freerel: 113.61/7.81321
Info:Filtering - Merging: Merged matrix has 1533603 rows and total weight 262115792 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 364.62/21.3596
Info:Filtering - Merging: Total cpu/real time for replay: 28.48/24.8039
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 244.69/174.21
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 136.4s
Info:Linear Algebra: Total cpu/real time for bwc: 32339.1/4076.08
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 20891.42, WCT time 2643.86, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.03, comm-wait 0.0 (48128 iterations)
Info:Linear Algebra: Lingen CPU time 263.33, WCT time 18.32
Info:Linear Algebra: Mksol: CPU time 11033.02,  WCT time 1391.77, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.03, comm-wait 0.0 (24064 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 494859/25957.4
Info:root: Cleaning up computation data in /tmp/cado.cpaw4ft0
2485621782820681497897634554366845603580644256890497877035290010723760998063 9094391935807581249840197457276773566262019410213001825252743
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosFebruary 22, 2023 15:09:30 UTC 2023 年 2 月 23 日 (木) 0 時 9 分 30 秒 (日本時間)
4511e64480Ignacio SantosMarch 2, 2023 10:27:26 UTC 2023 年 3 月 2 日 (木) 19 時 27 分 26 秒 (日本時間)
5043e66454Ignacio SantosApril 25, 2023 15:38:21 UTC 2023 年 4 月 26 日 (水) 0 時 38 分 21 秒 (日本時間)

28×10199+53

c178

name 名前Bob Backstrom
date 日付May 5, 2023 15:24:18 UTC 2023 年 5 月 6 日 (土) 0 時 24 分 18 秒 (日本時間)
composite number 合成数
1789138379697750052959693132599103274533488343584334618767205531281044657664341445072559149097674213788538044027242912549185193322531050819889381142025622018750758127673714739157<178>
prime factors 素因数
29225228792443686426461996614877281039067888084719257942345317<62>
61218969144917003368932861930167199146153040441856373516816947247672062639391468148849767663770218533080987793337521<116>
factorization results 素因数分解の結果
Number: n
N=1789138379697750052959693132599103274533488343584334618767205531281044657664341445072559149097674213788538044027242912549185193322531050819889381142025622018750758127673714739157  ( 178 digits)
SNFS difficulty: 199 digits.
Divisors found:

Sat May  6 01:13:16 2023  prp62 factor: 29225228792443686426461996614877281039067888084719257942345317
Sat May  6 01:13:16 2023  prp116 factor: 61218969144917003368932861930167199146153040441856373516816947247672062639391468148849767663770218533080987793337521
Sat May  6 01:13:16 2023  elapsed time 03:09:39 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.105).
Factorization parameters were as follows:
#
# N = 28x10^199+5 = 93(198)5
#
n: 1789138379697750052959693132599103274533488343584334618767205531281044657664341445072559149097674213788538044027242912549185193322531050819889381142025622018750758127673714739157
m: 2000000000000000000000000000000000000000
deg: 5
c5: 1750
c0: 1
skew: 0.22
# Murphy_E = 1.819e-11
type: snfs
lss: 1
rlim: 14900000
alim: 14900000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14900000/14900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 25850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1645870 hash collisions in 13358967 relations (12458394 unique)
Msieve: matrix is 2357117 x 2357354 (670.3 MB)

Sieving start time: 2023/05/05 11:12:22
Sieving end time  : 2023/05/05 22:03:23

Total sieving time: 10hrs 51min 1secs.

Total relation processing time: 2hrs 47min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 17min 53sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14900000,14900000,27,27,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 5, 2023 08:46:58 UTC 2023 年 3 月 5 日 (日) 17 時 46 分 58 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovApril 10, 2023 23:55:10 UTC 2023 年 4 月 11 日 (火) 8 時 55 分 10 秒 (日本時間)

28×10201+53

c164

name 名前Bob Backstrom
date 日付June 15, 2023 10:29:57 UTC 2023 年 6 月 15 日 (木) 19 時 29 分 57 秒 (日本時間)
composite number 合成数
17261481060766914612345271676250407324678348686762681193729949495545117137989887841237241186185311716656651441238360011584617687216581353810368494822052649897929033<164>
prime factors 素因数
218037811371923666702406127507615818359096746640351<51>
79167374466636405634761284956449838933984363581900501352563790036542892181809009987161556584507869098784168064983<113>
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 17261481060766914612345271676250407324678348686762681193729949495545117137989887841237241186185311716656651441238360011584617687216581353810368494822052649897929033 (164 digits)
Using B1=42130000, B2=192395152966, polynomial Dickson(12), sigma=1:3734562126
Step 1 took 98662ms
Step 2 took 29481ms
********** Factor found in step 2: 218037811371923666702406127507615818359096746640351
Found prime factor of 51 digits: 218037811371923666702406127507615818359096746640351
Prime cofactor 79167374466636405634761284956449838933984363581900501352563790036542892181809009987161556584507869098784168064983 has 113 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:52:00 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 0 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovApril 29, 2023 09:13:45 UTC 2023 年 4 月 29 日 (土) 18 時 13 分 45 秒 (日本時間)

28×10204+53

c153

composite cofactor 合成数の残り
999152586710348258200508028113385904272575618388919324268070015284713793219935515044799927018844110181349367584146205586370751044125923496422773373773921<153>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:52:04 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 4 秒 (日本時間)
4511e654801000Dmitry DomanovApril 28, 2023 00:17:24 UTC 2023 年 4 月 28 日 (金) 9 時 17 分 24 秒 (日本時間)
4480Ignacio SantosOctober 18, 2023 14:29:57 UTC 2023 年 10 月 18 日 (水) 23 時 29 分 57 秒 (日本時間)

28×10205+53

c192

name 名前Bob Backstrom
date 日付February 6, 2024 22:36:44 UTC 2024 年 2 月 7 日 (水) 7 時 36 分 44 秒 (日本時間)
composite number 合成数
183972668471405251014741124938998885238223033559407703998930922101986611957151636904645429071046770614101734232578888589591023367644761612868565092341372382148313627853663629808319481580941441<192>
prime factors 素因数
3285176654573508050092836261083411943723929737740423105712703449235005966074180780191<85>
56000844951605550896805615742141220240510649975050908319881496319084538239599302525984561276409897389398751<107>
factorization results 素因数分解の結果
Number: n
N=183972668471405251014741124938998885238223033559407703998930922101986611957151636904645429071046770614101734232578888589591023367644761612868565092341372382148313627853663629808319481580941441  ( 192 digits)
SNFS difficulty: 206 digits.
Divisors found:

Wed Feb  7 09:19:21 2024  prp85 factor: 3285176654573508050092836261083411943723929737740423105712703449235005966074180780191
Wed Feb  7 09:19:21 2024  prp107 factor: 56000844951605550896805615742141220240510649975050908319881496319084538239599302525984561276409897389398751
Wed Feb  7 09:19:21 2024  elapsed time 02:46:43 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.094).
Factorization parameters were as follows:
#
# N = 28x10^205+5 = 93(204)5
#
n: 183972668471405251014741124938998885238223033559407703998930922101986611957151636904645429071046770614101734232578888589591023367644761612868565092341372382148313627853663629808319481580941441
m: 100000000000000000000000000000000000000000
deg: 5
c5: 28
c0: 5
skew: 0.71
# Murphy_E = 1.068e-11
type: snfs
lss: 1
rlim: 19300000
alim: 19300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19300000/19300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 64050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3005530 hash collisions in 19818604 relations (17384985 unique)
Msieve: matrix is 2236424 x 2236649 (630.6 MB)

Sieving start time: 2024/02/06 03:29:44
Sieving end time  : 2024/02/07 06:32:15

Total sieving time: 27hrs 2min 31secs.

Total relation processing time: 2hrs 31min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 33sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19300000,19300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:52:08 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 8 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovApril 29, 2023 09:15:11 UTC 2023 年 4 月 29 日 (土) 18 時 15 分 11 秒 (日本時間)

28×10207+53

c139

name 名前Ignacio Santos
date 日付April 12, 2023 13:55:44 UTC 2023 年 4 月 12 日 (水) 22 時 55 分 44 秒 (日本時間)
composite number 合成数
4549634630249802095658932576190515461839591888790854587810366616933892137486500438535863290302190665129565722819183112986213690706226196707<139>
prime factors 素因数
1550547564950882737677561481581359600930718307487671<52>
2934211586339773159977018616733553485561554473514875260565449283888821676669916591755317<88>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:4065468730
Step 1 took 82375ms
Step 2 took 28016ms
********** Factor found in step 2: 1550547564950882737677561481581359600930718307487671
Found prime factor of 52 digits: 1550547564950882737677561481581359600930718307487671
Prime cofactor 2934211586339773159977018616733553485561554473514875260565449283888821676669916591755317 has 88 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosFebruary 22, 2023 15:27:47 UTC 2023 年 2 月 23 日 (木) 0 時 27 分 47 秒 (日本時間)
4511e64480Ignacio SantosMarch 2, 2023 12:13:50 UTC 2023 年 3 月 2 日 (木) 21 時 13 分 50 秒 (日本時間)

28×10208+53

c140

name 名前Jason Parker-Burlingham
date 日付June 4, 2023 00:55:33 UTC 2023 年 6 月 4 日 (日) 9 時 55 分 33 秒 (日本時間)
composite number 合成数
54038307866868974501523235655524620716184635590816990743238423839691169259914743113949938905804819391460694174414626541801791490339401845241<140>
prime factors 素因数
114745811927849448089074521501296650106841414724875117577097052401<66>
470939260954007646883689704202462784215354088652540182633489115101878376841<75>
factorization results 素因数分解の結果
n: 54038307866868974501523235655524620716184635590816990743238423839691169259914743113949938905804819391460694174414626541801791490339401845241
skew: 646687.756
c0: 8483162736236433447997948181860
c1: 23848907997429280238961577488
c2: 28372434524430799057777
c3: -22144438870814511
c4: -73341765560
c5: 39000
Y0: -1692177857754602141378315235
Y1: 1227352005997226683
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.511e-07
# f(x) = 39000*x^5-73341765560*x^4-22144438870814511*x^3+28372434524430799057777*x^2+23848907997429280238961577488*x+8483162736236433447997948181860
# g(x) = 1227352005997226683*x-1692177857754602141378315235


PID137419 2023-06-02 17:10:26,613 Info:Square Root: Factors: 470939260954007646883689704202462784215354088652540182633489115101878376841 114745811927849448089074521501296650106841414724875117577097052401


PID137419 2023-06-02 17:10:26,613 Info:Complete Factorization / Discrete logarithm: Square Root
PID137419 2023-06-02 17:10:26,613 Info:Square Root: Total cpu/real time for sqrt: 3924.27/195.869
PID137419 2023-06-02 17:10:26,613 Info:HTTP server: Got notification to stop serving Workunits
PID137419 2023-06-02 17:10:26,613 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID137419 2023-06-02 17:10:26,613 Info:Polynomial Selection (root optimized): Total time: 4381.68
PID137419 2023-06-02 17:10:26,614 Info:Polynomial Selection (root optimized): Rootsieve time: 4380.22
PID137419 2023-06-02 17:10:26,614 Info:Generate Factor Base: Total cpu/real time for makefb: 10.92/0.70977
PID137419 2023-06-02 17:10:26,614 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 148.18/65.6831
PID137419 2023-06-02 17:10:26,614 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID137419 2023-06-02 17:10:26,614 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 65.4s
PID137419 2023-06-02 17:10:26,614 Info:Filtering - Singleton removal: Total cpu/real time for purge: 471.3/130.949
PID137419 2023-06-02 17:10:26,614 Info:Square Root: Total cpu/real time for sqrt: 3924.27/195.869
PID137419 2023-06-02 17:10:26,614 Info:Lattice Sieving: Aggregate statistics:
PID137419 2023-06-02 17:10:26,614 Info:Lattice Sieving: Total number of relations: 33536971
PID137419 2023-06-02 17:10:26,614 Info:Lattice Sieving: Average J: 3858.5 for 933853 special-q, max bucket fill -bkmult 1.0,1s:1.290410
PID137419 2023-06-02 17:10:26,614 Info:Lattice Sieving: Total time: 141999s
PID137419 2023-06-02 17:10:26,614 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 627.43/224.601
PID137419 2023-06-02 17:10:26,615 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID137419 2023-06-02 17:10:26,615 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 174.99999999999997s
PID137419 2023-06-02 17:10:26,615 Info:Filtering - Merging: Total cpu/real time for merge: 1306.42/65.4083
PID137419 2023-06-02 17:10:26,615 Info:Filtering - Merging: Total cpu/real time for replay: 73.91/59.6483
PID137419 2023-06-02 17:10:26,615 Info:Linear Algebra: Total cpu/real time for bwc: 123218/5728.96
PID137419 2023-06-02 17:10:26,615 Info:Linear Algebra: Aggregate statistics:
PID137419 2023-06-02 17:10:26,615 Info:Linear Algebra: Krylov: CPU time 78633.41, WCT time 3625.78, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (61440 iterations)
PID137419 2023-06-02 17:10:26,615 Info:Linear Algebra: Lingen CPU time 3161.17, WCT time 102.94
PID137419 2023-06-02 17:10:26,615 Info:Linear Algebra: Mksol: CPU time 40747.68,  WCT time 1944.34, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (30720 iterations)
PID137419 2023-06-02 17:10:26,615 Info:Generate Free Relations: Total cpu/real time for freerel: 341.98/16.0393
PID137419 2023-06-02 17:10:26,616 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID137419 2023-06-02 17:10:26,616 Info:Polynomial Selection (size optimized): potential collisions: 69931.3
PID137419 2023-06-02 17:10:26,616 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 48444/42.290/50.306/55.010/0.935
PID137419 2023-06-02 17:10:26,616 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39955/40.400/44.838/50.960/1.006
PID137419 2023-06-02 17:10:26,616 Info:Polynomial Selection (size optimized): Total time: 16537.4
PID137419 2023-06-02 17:10:26,616 Info:Quadratic Characters: Total cpu/real time for characters: 74.02/15.055
PID137419 2023-06-02 17:10:26,630 Info:HTTP server: Shutting down HTTP server
PID137419 2023-06-02 17:10:27,001 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 690047/25013.4
software ソフトウェア
CADO-NFS-3.0.0-dev
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 118GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosFebruary 23, 2023 16:02:57 UTC 2023 年 2 月 24 日 (金) 1 時 2 分 57 秒 (日本時間)
4511e64480Ignacio SantosMarch 3, 2023 13:21:21 UTC 2023 年 3 月 3 日 (金) 22 時 21 分 21 秒 (日本時間)
5043e66454Ignacio SantosApril 7, 2023 15:08:16 UTC 2023 年 4 月 8 日 (土) 0 時 8 分 16 秒 (日本時間)

28×10210+53

c192

composite cofactor 合成数の残り
425906856404718038421176922762760445831091086949788926713875349333735310622432659330859914611985501803950265025224246470981284334244280543321656962340045405683648648005758170584237222277141207<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:52:18 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 18 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovApril 29, 2023 09:15:19 UTC 2023 年 4 月 29 日 (土) 18 時 15 分 19 秒 (日本時間)

28×10211+53

c201

composite cofactor 合成数の残り
591354721787074967785227913107832927896718670187484926908676822842569367281679770663796448296691330477461038830248151286364052263556195200909358359180548782674447780397411365499943474741163496286634863<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:52:21 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 21 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovJanuary 23, 2024 10:20:33 UTC 2024 年 1 月 23 日 (火) 19 時 20 分 33 秒 (日本時間)

28×10213+53

c207

composite cofactor 合成数の残り
204365741251148234391301931296398093953719115272970773180923202529405584359568675884802389093905437708902387002805978121260631534663002534901563043929912331111330317697857878443476067111227842876173374114517<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:52:24 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 24 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovJanuary 23, 2024 10:20:42 UTC 2024 年 1 月 23 日 (火) 19 時 20 分 42 秒 (日本時間)

28×10214+53

c209

composite cofactor 合成数の残り
20891180452420896104802098966744598230890072473743330210847969283995826240591041339542490609227858239910585747663638564671447016422333119571790489812378546697570691464497863690270343066758140192504766733182693<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:52:28 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 28 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovJanuary 23, 2024 10:20:52 UTC 2024 年 1 月 23 日 (火) 19 時 20 分 52 秒 (日本時間)

28×10216+53

c209

composite cofactor 合成数の残り
59956199640740310459839747570695238279695178826699356499745073733652527292463568873297850183739521061526227673582646414618726160518356463096846703250012523886523170710385785275843003706246013113470094923618853<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:52:32 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 32 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovJanuary 23, 2024 10:21:00 UTC 2024 年 1 月 23 日 (火) 19 時 21 分 0 秒 (日本時間)

28×10217+53

c199

composite cofactor 合成数の残り
4674649887351798562051052886719533233264756699510338907604890624881238492041614195122413070295959075089487929486387930428311246878116596874785113061997915402269050127071870580912632572124670010804223<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:52:35 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 35 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovApril 29, 2023 09:15:28 UTC 2023 年 4 月 29 日 (土) 18 時 15 分 28 秒 (日本時間)

28×10218+53

c214

composite cofactor 合成数の残り
3722241054989464728442574461438247356211822103465007610653585648101989404906711333559326540243407977560203925634941208531908246757994509694443890539525547202669378585149587562397389113774285961169049565627762600783<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:52:39 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 39 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovJanuary 23, 2024 10:21:12 UTC 2024 年 1 月 23 日 (火) 19 時 21 分 12 秒 (日本時間)

28×10219+53

c214

composite cofactor 合成数の残り
5813187007111811461736253629349120288334075552745848502118180015716366301370147416194085705061728779531768547959311843226650971061747464775719978781867424041888164662674252875710947580624232477652967268642942635263<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:52:42 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 42 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovJanuary 23, 2024 10:21:22 UTC 2024 年 1 月 23 日 (火) 19 時 21 分 22 秒 (日本時間)

28×10221+53

c172

composite cofactor 合成数の残り
3678363311187444228132994349187583249789114003963464906808829994029289154761322720405892344023525256697666682198292602871518547968609347230934541318959554118168029118762663<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:52:45 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 45 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovApril 29, 2023 09:14:03 UTC 2023 年 4 月 29 日 (土) 18 時 14 分 3 秒 (日本時間)

28×10222+53

c222

composite cofactor 合成数の残り
169696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969697<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 7, 2023 15:52:48 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 48 秒 (日本時間)

28×10223+53

c140

name 名前Norman Powell
date 日付March 15, 2023 03:15:33 UTC 2023 年 3 月 15 日 (水) 12 時 15 分 33 秒 (日本時間)
composite number 合成数
45965582449283683718655916276776820340010781046732684406064678465180565006649474784207196517602690333967638169853115698354826865618917630741<140>
prime factors 素因数
34386114109233460991199491621358196007190757168941512383567<59>
1336748383468571974082115826436103399849631187274144981383703680654578581374156123<82>
factorization results 素因数分解の結果
N = 45965582449283683718655916276776820340010781046732684406064678465180565006649474784207196517602690333967638169853115698354826865618917630741
skew: 206350.132
c0: -556455169351525429713961193305527
c1: 2686927712574836090290330861
c2: -5694799750926379273563
c3: 98108378117671979
c4: 1006063396770
c5: -441000
Y0: -284549355817370230559758594
Y1: 4510142091629302824079
# MurphyE (Bf=1.074e+09,Bg=5.369e+08,area=1.074e+14) = 7.865e-07
# f(x) = -441000*x^5+1006063396770*x^4+98108378117671979*x^3-5694799750926379273563*x^2+2686927712574836090290330861*x-556455169351525429713961193305527
# g(x) = 4510142091629302824079*x-284549355817370230559758594

name = c140
slaves.basepath = /home/levi/cado-nfs/temp/client
slaves.hostnames = localhost
slaves.nrclients = 4
slaves.scriptpath = /home/levi/cado-nfs/build/E5-1620
tasks.I = 14
tasks.execpath = /home/levi/cado-nfs/build/E5-1620
tasks.lim0 = 11000000
tasks.lim1 = 15000000
tasks.lpb0 = 29
tasks.lpb1 = 30
tasks.qmin = 800000
tasks.threads = 7
tasks.workdir = /home/levi/cado-nfs/temp
tasks.filter.required_excess = 0.07
tasks.filter.target_density = 125.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.cpubinding = /home/levi/cado-nfs/parameters/misc/cpubinding.conf
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.interval = 3000
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 140000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 1800
tasks.polyselect.adrange = 1200
tasks.polyselect.degree = 5
tasks.polyselect.incr = 120
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 48
tasks.polyselect.ropteffort = 16
tasks.polyselect.sopteffort = 2
tasks.polyselect.threads = 2
tasks.sieve.lambda0 = 1.92
tasks.sieve.lambda1 = 1.93
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 58
tasks.sieve.ncurves0 = 11
tasks.sieve.ncurves1 = 13
tasks.sieve.qrange = 10000
tasks.sieve.rels_wanted = 67000000
tasks.sieve.las.threads = 2
Info:Square Root: Factors:
        34386114109233460991199491621358196007190757168941512383567 
       1336748383468571974082115826436103399849631187274144981383703680654578581374156123
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 909568/125269 (1.45 days)
software ソフトウェア
CADO-NFS, v3.0.0
execution environment 実行環境
Ubuntu v20.04.4 LTS, Intel Xeon E5-1620

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosFebruary 23, 2023 16:02:43 UTC 2023 年 2 月 24 日 (金) 1 時 2 分 43 秒 (日本時間)
4511e64480Ignacio SantosMarch 3, 2023 11:28:34 UTC 2023 年 3 月 3 日 (金) 20 時 28 分 34 秒 (日本時間)

28×10226+53

c181

composite cofactor 合成数の残り
3226421575270526145565744004066930443561997964274270689521846783313522431870554934659522341613089468201258067605809469995482089762933152384756387607879539897759051823311338272888713<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:52:55 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 55 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovApril 29, 2023 09:14:28 UTC 2023 年 4 月 29 日 (土) 18 時 14 分 28 秒 (日本時間)

28×10227+53

c205

composite cofactor 合成数の残り
3175164050409076323866748987221705059890542598643132369851812263493571844754830423314904620757943694394252288303430662818722382587715634365163708859088368302655392797235055154535505951353274510240716020803<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:53:00 UTC 2023 年 3 月 8 日 (水) 0 時 53 分 0 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovJanuary 23, 2024 10:21:41 UTC 2024 年 1 月 23 日 (火) 19 時 21 分 41 秒 (日本時間)

28×10229+53

c204

name 名前Dmitry Domanov
date 日付January 23, 2024 12:50:28 UTC 2024 年 1 月 23 日 (火) 21 時 50 分 28 秒 (日本時間)
composite number 合成数
969738734260601382257775187884948268392043121946528032421900585271498870587496863982587539063451374650601120188033642986933752704682077618190566650597655534385331271839610116177800463585097936330197478811<204>
prime factors 素因数
12480453523563655696332960952449780867910042710121<50>
77700600577510359126856332469984894433715062261638093527422046889146282429427888753986800784767242231416263962118301525532866938362962047894800799611841891<155>
factorization results 素因数分解の結果
GPU: factor 12480453523563655696332960952449780867910042710121 found in Step 1 with curve 910 (-sigma 3:-1969137757)
Computing 1792 Step 1 took 729ms of CPU time / 642913ms of GPU time
Throughput: 2.787 curves per second (on average 358.77ms per Step 1)
********** Factor found in step 1: 12480453523563655696332960952449780867910042710121
Found prime factor of 50 digits: 12480453523563655696332960952449780867910042710121
Prime cofactor 77700600577510359126856332469984894433715062261638093527422046889146282429427888753986800784767242231416263962118301525532866938362962047894800799611841891 has 155 digits
Peak memory usage: 9470MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:53:04 UTC 2023 年 3 月 8 日 (水) 0 時 53 分 4 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovJanuary 23, 2024 10:21:50 UTC 2024 年 1 月 23 日 (火) 19 時 21 分 50 秒 (日本時間)

28×10230+53

c196

composite cofactor 合成数の残り
2209963435142965355205686445042361579595324639911118548456723533096886718194419308926237161881705426705497981913721378478055758724093365713138956400636325628318053988951980700363009154372645436871<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:53:09 UTC 2023 年 3 月 8 日 (水) 0 時 53 分 9 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovApril 29, 2023 09:15:35 UTC 2023 年 4 月 29 日 (土) 18 時 15 分 35 秒 (日本時間)

28×10231+53

c221

composite cofactor 合成数の残り
18628951761982735141181848578871412142040342241177729351378339724604352105149525072556863740891670431749220752580324490259227804440908699916017293324461884663012322475912696353153344580880915917804373004873370163942794371<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 7, 2023 15:53:12 UTC 2023 年 3 月 8 日 (水) 0 時 53 分 12 秒 (日本時間)

28×10232+53

c210

name 名前Dmitry Domanov
date 日付January 25, 2024 08:15:25 UTC 2024 年 1 月 25 日 (木) 17 時 15 分 25 秒 (日本時間)
composite number 合成数
121474431420563732781988445882103369642175608542996892193962496456573816126878001172415629517914641919528090351387170826377095636360346238533469358124486296415334621336369575511816536005954768672134889147488707<210>
prime factors 素因数
465453625093895754630909818285351928475383778453<48>
260980739802077487900409537609172380790828017003521027973884924637419094032649686803423511360757101570099457125916108449062147053223960839204951660872874878377719<162>
factorization results 素因数分解の結果
Resuming ECM residue saved by @39d3d7ea92f3 with GMP-ECM 7.0.5-dev on Tue Jan 23 12:00:11 2024 
Input number is 121474431420563732781988445882103369642175608542996892193962496456573816126878001172415629517914641919528090351387170826377095636360346238533469358124486296415334621336369575511816536005954768672134889147488707 (210 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1650589948
Step 1 took 0ms
Step 2 took 8924ms
********** Factor found in step 2: 465453625093895754630909818285351928475383778453
Found prime factor of 48 digits: 465453625093895754630909818285351928475383778453
Prime cofactor 260980739802077487900409537609172380790828017003521027973884924637419094032649686803423511360757101570099457125916108449062147053223960839204951660872874878377719 has 162 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:53:15 UTC 2023 年 3 月 8 日 (水) 0 時 53 分 15 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovJanuary 23, 2024 10:22:03 UTC 2024 年 1 月 23 日 (火) 19 時 22 分 3 秒 (日本時間)

28×10234+53

c208

composite cofactor 合成数の残り
2520120769638855001098345629887268517857920679310905648117590095975354517548071781694419358622317965477903100716780342096604852318330388289738245131716236058580301270667888584829891498189261215685248218887469<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:53:29 UTC 2023 年 3 月 8 日 (水) 0 時 53 分 29 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovJanuary 23, 2024 10:22:12 UTC 2024 年 1 月 23 日 (火) 19 時 22 分 12 秒 (日本時間)

28×10236+53

c221

composite cofactor 合成数の残り
16358829059873193356027954641398387168429905669617034609208734612829689426137785152375752255207835669976928936863913911925046286395148089965383003517480152769894006548498430269915276774064065715309990526699632893280245407<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 7, 2023 15:54:03 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 3 秒 (日本時間)

28×10237+53

c219

composite cofactor 合成数の残り
317504445699159199482716090987109223102939040912217528219840926692291382699725264015900070022877659620662810943707563621703514298318714033917823106429315564731852526830544437579681697891664079183831638000630593355071373<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:54:08 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 8 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovJanuary 23, 2024 10:22:20 UTC 2024 年 1 月 23 日 (火) 19 時 22 分 20 秒 (日本時間)

28×10238+53

c214

composite cofactor 合成数の残り
7203553734345774000694428433393815985396094644700072286657871507700741177465200832180440732776011609630066303226240208399467341859555627634334690130857174857977834633279656253719655147791639562565539664332716071729<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:54:11 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 11 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovJanuary 23, 2024 10:22:30 UTC 2024 年 1 月 23 日 (火) 19 時 22 分 30 秒 (日本時間)

28×10239+53

c239

composite cofactor 合成数の残り
14358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974359<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:54:14 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 14 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 24, 2023 23:09:47 UTC 2023 年 3 月 25 日 (土) 8 時 9 分 47 秒 (日本時間)

28×10243+53

c239

composite cofactor 合成数の残り
84430171724938561973253727742849819832044265532890074931777405882973751262683371779215100939285660439941501952447721139204245631492454053402083616023640448082982797352511043767997949552972394349209220980897673647232650353551344098180228263<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:54:18 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 18 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 24, 2023 23:10:02 UTC 2023 年 3 月 25 日 (土) 8 時 10 分 2 秒 (日本時間)

28×10244+53

c204

name 名前Dmitry Domanov
date 日付March 6, 2023 18:34:19 UTC 2023 年 3 月 7 日 (火) 3 時 34 分 19 秒 (日本時間)
composite number 合成数
505770056919680609474737252360931375448339424779931725279658211538625545048810950415508358790777553584693014471126901987525139392839163555048033395965476539014860829726584252205971590479592848748338648319<204>
prime factors 素因数
20647713806689211599273119295284323<35>
composite cofactor 合成数の残り
24495208605411170312947970231321347057617795814646678473459038340376764427682370890343020961979550019879117442309266886473757973596306098372916782509005745007722116950453<170>
factorization results 素因数分解の結果
Resuming ECM residue saved by @6c563ae6b11c with GMP-ECM 7.0.5-dev on Sun Mar  5 12:07:41 2023 
Input number is 505770056919680609474737252360931375448339424779931725279658211538625545048810950415508358790777553584693014471126901987525139392839163555048033395965476539014860829726584252205971590479592848748338648319 (204 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4086539098
Step 1 took 0ms
Step 2 took 5137ms
********** Factor found in step 2: 20647713806689211599273119295284323
Found prime factor of 35 digits: 20647713806689211599273119295284323
Composite cofactor 24495208605411170312947970231321347057617795814646678473459038340376764427682370890343020961979550019879117442309266886473757973596306098372916782509005745007722116950453 has 170 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:54:22 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 22 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovApril 29, 2023 09:14:11 UTC 2023 年 4 月 29 日 (土) 18 時 14 分 11 秒 (日本時間)

28×10245+53

c221

composite cofactor 合成数の残り
77588176838188854586357707016550837025165167619400075493742210786289668789890631777348562860768622291609322072998264639973332681698958078904022019003515005426709981412389240592851757158401904540934075020380745582411744647<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 7, 2023 15:54:25 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 25 秒 (日本時間)

28×10250+53

c237

name 名前Dmitry Domanov
date 日付March 6, 2023 18:35:50 UTC 2023 年 3 月 7 日 (火) 3 時 35 分 50 秒 (日本時間)
composite number 合成数
474060445594627505550686112727880260014794196628460603328365969407702975236311971874026944596193650031578950543414243378808546691855643162702545923192322997161524302934993374095770030613781761710812174278726368199374252070939980929214447<237>
prime factors 素因数
15615736758153381613981747585313<32>
composite cofactor 合成数の残り
30357866102418013561320527792306729373442115094771613209617405973790448483648590404745341411578895208073304692943942492492040860540750356223218157467435771336213504633021280692334723197296351645341941749519<206>
factorization results 素因数分解の結果
Resuming ECM residue saved by @6c563ae6b11c with GMP-ECM 7.0.5-dev on Sun Mar  5 14:00:05 2023 
Input number is 474060445594627505550686112727880260014794196628460603328365969407702975236311971874026944596193650031578950543414243378808546691855643162702545923192322997161524302934993374095770030613781761710812174278726368199374252070939980929214447 (237 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4124029656
Step 1 took 0ms
Step 2 took 6154ms
********** Factor found in step 2: 15615736758153381613981747585313
Found prime factor of 32 digits: 15615736758153381613981747585313
Composite cofactor 30357866102418013561320527792306729373442115094771613209617405973790448483648590404745341411578895208073304692943942492492040860540750356223218157467435771336213504633021280692334723197296351645341941749519 has 206 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:54:29 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 29 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovJanuary 23, 2024 10:22:38 UTC 2024 年 1 月 23 日 (火) 19 時 22 分 38 秒 (日本時間)

28×10251+53

c198

composite cofactor 合成数の残り
742886281235721412686926410142578895990149507931962281735156183605847223188298606972528951010521414659778189334323706860800851663895306605625932327133977207051113133544452317239818066529412199936603<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:54:34 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 34 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovApril 29, 2023 09:16:24 UTC 2023 年 4 月 29 日 (土) 18 時 16 分 24 秒 (日本時間)

28×10254+53

c214

name 名前Dmitry Domanov
date 日付March 6, 2023 18:33:39 UTC 2023 年 3 月 7 日 (火) 3 時 33 分 39 秒 (日本時間)
composite number 合成数
1551286177658169279842250596704333053914111048325511934280901093948314282596182898987066798441780645644799440879451075791432520736772337143749164065560420259702194554105903036837086331691324011146803834126173856563<214>
prime factors 素因数
60902592184534350347658300803809709980171<41>
composite cofactor 合成数の残り
25471595247666716689095473855722633587327361112592767358855075554254314317863061111811768445173479798865788798056054511291162056321934187594600704369653597790072786164882553<173>
factorization results 素因数分解の結果
Resuming ECM residue saved by @6c563ae6b11c with GMP-ECM 7.0.5-dev on Sun Mar  5 11:02:46 2023 
Input number is 1551286177658169279842250596704333053914111048325511934280901093948314282596182898987066798441780645644799440879451075791432520736772337143749164065560420259702194554105903036837086331691324011146803834126173856563 (214 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1699237160
Step 1 took 0ms
Step 2 took 5513ms
********** Factor found in step 2: 60902592184534350347658300803809709980171
Found prime factor of 41 digits: 60902592184534350347658300803809709980171
Composite cofactor 25471595247666716689095473855722633587327361112592767358855075554254314317863061111811768445173479798865788798056054511291162056321934187594600704369653597790072786164882553 has 173 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 7, 2023 15:54:38 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 38 秒 (日本時間)
2350Ignacio SantosMarch 8, 2023 23:36:03 UTC 2023 年 3 月 9 日 (木) 8 時 36 分 3 秒 (日本時間)
4511e64480Ignacio SantosMarch 10, 2023 16:53:28 UTC 2023 年 3 月 11 日 (土) 1 時 53 分 28 秒 (日本時間)
5043e61792 / 6385Dmitry DomanovMay 26, 2024 22:12:43 UTC 2024 年 5 月 27 日 (月) 7 時 12 分 43 秒 (日本時間)

28×10255+53

c246

composite cofactor 合成数の残り
108765196279411603842785426048070651626589454570800770097669633063118382936882849838927551377736575278792375281993346661910317242818189772708557057648901840251986804308914569960031056762093707827071429968649312199431644502990336050153320040282947<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:54:41 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 41 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 24, 2023 23:10:09 UTC 2023 年 3 月 25 日 (土) 8 時 10 分 9 秒 (日本時間)

28×10256+53

c232

name 名前Dmitry Domanov
date 日付March 28, 2023 12:54:20 UTC 2023 年 3 月 28 日 (火) 21 時 54 分 20 秒 (日本時間)
composite number 合成数
6981793445191452077341828073584293882419776751489290601664275747380030504265082705380722971295580313578388513364916491529935237001841249392647920062492072608978966657765804662399306265129603189032904493139099527117909438834038470473<232>
prime factors 素因数
8735826298036234741625631815769936955237<40>
799213858769252370231331723937515058376098385966392906708917200013738105006240310637593695829966695857620003159337991475760819611553741634709615173473215161244815103351538493583886602594167829<192>
factorization results 素因数分解の結果
Resuming ECM residue saved by @3263f46be529 with GMP-ECM 7.0.5-dev on Sat Mar 25 01:49:15 2023 
Input number is 6981793445191452077341828073584293882419776751489290601664275747380030504265082705380722971295580313578388513364916491529935237001841249392647920062492072608978966657765804662399306265129603189032904493139099527117909438834038470473 (232 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3330958328
Step 1 took 0ms
Step 2 took 14576ms
********** Factor found in step 2: 8735826298036234741625631815769936955237
Found prime factor of 40 digits: 8735826298036234741625631815769936955237
Prime cofactor 799213858769252370231331723937515058376098385966392906708917200013738105006240310637593695829966695857620003159337991475760819611553741634709615173473215161244815103351538493583886602594167829 has 192 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:54:44 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 44 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 24, 2023 23:10:17 UTC 2023 年 3 月 25 日 (土) 8 時 10 分 17 秒 (日本時間)

28×10257+53

c220

composite cofactor 合成数の残り
6685695289047789718456843394394982008826800182292921119446582913990195594951079096170036663446389716008683214454086848440365827011014925863824277547761579306944385646699403134246057659435365465534562240328007046328103157<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 7, 2023 15:54:49 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 49 秒 (日本時間)

28×10259+53

c230

name 名前Dmitry Domanov
date 日付March 5, 2023 16:05:46 UTC 2023 年 3 月 6 日 (月) 1 時 5 分 46 秒 (日本時間)
composite number 合成数
91778545363726929998881463500686573386432432522980814913382578666155124902692573233197133779708130431492716520764783364066781435852704250708500464114076286733653905153025385315423714342941682815062007127921247051488806896850536869<230>
prime factors 素因数
37158283155798669002467135204657649569<38>
composite cofactor 合成数の残り
2469935033836583332027966770906738669032371000003388234720767121339223480017112486250707278167169791530730401837915193840410552744925004844298797040110026154770940827347763700395961638219981701<193>
factorization results 素因数分解の結果
GPU: factor 37158283155798669002467135204657649569 found in Step 1 with curve 999 (-sigma 3:-176802390)
Computing 1792 Step 1 took 294ms of CPU time / 267961ms of GPU time
Throughput: 6.688 curves per second (on average 149.53ms per Step 1)
********** Factor found in step 1: 37158283155798669002467135204657649569
Found prime factor of 38 digits: 37158283155798669002467135204657649569
Composite cofactor 2469935033836583332027966770906738669032371000003388234720767121339223480017112486250707278167169791530730401837915193840410552744925004844298797040110026154770940827347763700395961638219981701 has 193 digits
Peak memory usage: 9428MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:54:52 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 52 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovApril 29, 2023 09:16:38 UTC 2023 年 4 月 29 日 (土) 18 時 16 分 38 秒 (日本時間)

28×10260+53

c210

composite cofactor 合成数の残り
187317162653538768283935301346624176394780331946390287697620117429524467202811173157409567128972439759715656990626323175135685694566555449665397701280700218176735897972120041496066170196350635380171127949507231<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 7, 2023 15:55:00 UTC 2023 年 3 月 8 日 (水) 0 時 55 分 0 秒 (日本時間)

28×10262+53

c204

composite cofactor 合成数の残り
304017283599613917489835468743104513452634175990681349193674643744262096764023097532405586580981753703393660090402831266621091880895156795616410897778152725493962490354936127606233176019358053816932224751<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 7, 2023 15:55:48 UTC 2023 年 3 月 8 日 (水) 0 時 55 分 48 秒 (日本時間)

28×10263+53

c216

composite cofactor 合成数の残り
198001628034143905802415132174573673782204709493839825792214691002388127703524260774014153748480223083273884490172748655696812158274616730405817559339529592022236910054433643847346710606024095296152747151464455956271<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 7, 2023 15:55:50 UTC 2023 年 3 月 8 日 (水) 0 時 55 分 50 秒 (日本時間)

28×10264+53

c227

composite cofactor 合成数の残り
65849820617459354634405193760179705394496985949765332554354311181351553347588241800985426840524075208952235107731236942128745300322083942983871124958288539856728334178284252500417702355039028121767408335140630700380218907708549<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 7, 2023 15:55:54 UTC 2023 年 3 月 8 日 (水) 0 時 55 分 54 秒 (日本時間)

28×10265+53

c191

composite cofactor 合成数の残り
13605323299877110021590109624086475896091579264371932331087806241976395191198664960777052284521275112263418250397802073164892395568429419211633742991836795946150257998586572814791713350348723<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:55:57 UTC 2023 年 3 月 8 日 (水) 0 時 55 分 57 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovApril 29, 2023 09:16:46 UTC 2023 年 4 月 29 日 (土) 18 時 16 分 46 秒 (日本時間)

28×10266+53

c221

composite cofactor 合成数の残り
53000676949424006226556553555792712396622720590594633459449280012972235825488778582798151690866384051311201055741733282996452811865435189775780878627290594608748515256995902860206248222773811195444937212103854209812573039<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 7, 2023 15:56:00 UTC 2023 年 3 月 8 日 (水) 0 時 56 分 0 秒 (日本時間)

28×10267+53

c234

composite cofactor 合成数の残り
278543108291860033679181286882807858618940798357426549358434493047936625177476298569648511642324428833472367186322823083952907844004010592198257667393522678109660487551058901985779853966776954812604890367861144448999614418318348971141<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:56:03 UTC 2023 年 3 月 8 日 (水) 0 時 56 分 3 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 24, 2023 23:10:24 UTC 2023 年 3 月 25 日 (土) 8 時 10 分 24 秒 (日本時間)

28×10269+53

c203

name 名前Dmitry Domanov
date 日付March 6, 2023 18:34:56 UTC 2023 年 3 月 7 日 (火) 3 時 34 分 56 秒 (日本時間)
composite number 合成数
11177831095386956077611732047860031152518161404210921794792755276587852858150805748913953565749138039347567505328242913895900920488945004638024525887311297251770088503316746463585124693690173683108210101<203>
prime factors 素因数
133377031078005908688182590678511215223353<42>
composite cofactor 合成数の残り
83806267128929958385825693988413257749671226977620996247676374556984393431956165978349255341160534274492004244052038657666437198882521476832745275280381248122717<161>
factorization results 素因数分解の結果
Resuming ECM residue saved by @6c563ae6b11c with GMP-ECM 7.0.5-dev on Sun Mar  5 12:54:53 2023 
Input number is 11177831095386956077611732047860031152518161404210921794792755276587852858150805748913953565749138039347567505328242913895900920488945004638024525887311297251770088503316746463585124693690173683108210101 (203 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3842500536
Step 1 took 0ms
Step 2 took 5146ms
********** Factor found in step 2: 133377031078005908688182590678511215223353
Found prime factor of 42 digits: 133377031078005908688182590678511215223353
Composite cofactor 83806267128929958385825693988413257749671226977620996247676374556984393431956165978349255341160534274492004244052038657666437198882521476832745275280381248122717 has 161 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 7, 2023 15:56:07 UTC 2023 年 3 月 8 日 (水) 0 時 56 分 7 秒 (日本時間)
2350Ignacio SantosMarch 8, 2023 09:02:28 UTC 2023 年 3 月 8 日 (水) 18 時 2 分 28 秒 (日本時間)
4511e64480Ignacio SantosMarch 8, 2023 09:58:21 UTC 2023 年 3 月 8 日 (水) 18 時 58 分 21 秒 (日本時間)

28×10270+53

c217

composite cofactor 合成数の残り
6357629674038392003977314942375025175657330600143457994033960335179803525457245310353755399925441809547478109348467450078206290585491230716972548435951198086703753393558618649449434441300441877949961190947280631058521<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 7, 2023 15:56:10 UTC 2023 年 3 月 8 日 (水) 0 時 56 分 10 秒 (日本時間)

28×10271+53

c254

composite cofactor 合成数の残り
54814554256681697429228366361736143247203539399241157854481995516286893195656784995314099883146033300027206760321398414816874962459461075349229498268241398924729283991076817055616266912672267274261617112496106526412860883748702148322284266515949461677869<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 7, 2023 15:56:14 UTC 2023 年 3 月 8 日 (水) 0 時 56 分 14 秒 (日本時間)

28×10275+53

c271

composite cofactor 合成数の残り
1572552224178552072539587598179209174718976493152377502393929948414670788999997191871028252585584750736431822840759430399119370754460010839377830945019642862157373163834668598659399228887784358160001572552224178552072539587598179209174718976493152377502393929948414670789<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 7, 2023 15:56:17 UTC 2023 年 3 月 8 日 (水) 0 時 56 分 17 秒 (日本時間)

28×10276+53

c258

composite cofactor 合成数の残り
261274494409112892236325810904623895388023568933328389249154694339982473901593648253292946317698186947524663979804783986024713769958938056880083306655628916180983543930311286895803001410955025677911336445514015486019755427985094553467489795191664248837298533<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 7, 2023 15:56:20 UTC 2023 年 3 月 8 日 (水) 0 時 56 分 20 秒 (日本時間)

28×10277+53

c244

name 名前Dmitry Domanov
date 日付March 6, 2023 18:33:57 UTC 2023 年 3 月 7 日 (火) 3 時 33 分 57 秒 (日本時間)
composite number 合成数
4070515778765949202109506432574320915044630421789530800145045791014718656327116363538461171999747511178297667319695502600574088140671347601673656819953268553663821821417715292120082492485749015227656499619152301429851279581083950025960794875569<244>
prime factors 素因数
6549577683773666975642972062423133<34>
composite cofactor 合成数の残り
621492861875735797617290516981725580426239976225816666296881213349063134799036014056567142802540976890453091100517922911583308953115832605107052009301100703083132332310208433827402055251716635226153611236987493<210>
factorization results 素因数分解の結果
Resuming ECM residue saved by @6c563ae6b11c with GMP-ECM 7.0.5-dev on Sun Mar  5 11:17:34 2023 
Input number is 4070515778765949202109506432574320915044630421789530800145045791014718656327116363538461171999747511178297667319695502600574088140671347601673656819953268553663821821417715292120082492485749015227656499619152301429851279581083950025960794875569 (244 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3138027683
Step 1 took 1ms
Step 2 took 6271ms
********** Factor found in step 2: 6549577683773666975642972062423133
Found prime factor of 34 digits: 6549577683773666975642972062423133
Composite cofactor 621492861875735797617290516981725580426239976225816666296881213349063134799036014056567142802540976890453091100517922911583308953115832605107052009301100703083132332310208433827402055251716635226153611236987493 has 210 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 7, 2023 15:56:24 UTC 2023 年 3 月 8 日 (水) 0 時 56 分 24 秒 (日本時間)

28×10278+53

c261

composite cofactor 合成数の残り
287124375316365261265888672832099199615950426292554776606988727009239496756495542034393605042335156935131940343128057810332045183594535982582824964961157818503879611915393852084154146092969248577898588008079606390890365217640246995908540591243521198273467780837<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 7, 2023 15:56:27 UTC 2023 年 3 月 8 日 (水) 0 時 56 分 27 秒 (日本時間)

28×10279+53

c246

name 名前Dmitry Domanov
date 日付March 29, 2023 04:57:09 UTC 2023 年 3 月 29 日 (水) 13 時 57 分 9 秒 (日本時間)
composite number 合成数
421444550720270621506146549755340161158197618945467774789531304054907022219576942215382816633974862306361430717373312742872243157152033015178986754474122746286138064652443373321064744952717293121209093632282587096616322687819562520637613256680991<246>
prime factors 素因数
5239884845763736034562748215076859763051043<43>
composite cofactor 合成数の残り
80430116906289234102570999481097872928267345623474346683583394742726128326374744553908940319975581580843241287415492797012111998437586758937824608286996191554333565497449777242384070126181971739566906837<203>
factorization results 素因数分解の結果
Resuming ECM residue saved by @3263f46be529 with GMP-ECM 7.0.5-dev on Sat Mar 25 02:22:01 2023 
Input number is 421444550720270621506146549755340161158197618945467774789531304054907022219576942215382816633974862306361430717373312742872243157152033015178986754474122746286138064652443373321064744952717293121209093632282587096616322687819562520637613256680991 (246 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2410152164
Step 1 took 0ms
Step 2 took 15359ms
********** Factor found in step 2: 5239884845763736034562748215076859763051043
Found prime factor of 43 digits: 5239884845763736034562748215076859763051043
Composite cofactor 80430116906289234102570999481097872928267345623474346683583394742726128326374744553908940319975581580843241287415492797012111998437586758937824608286996191554333565497449777242384070126181971739566906837 has 203 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:56:31 UTC 2023 年 3 月 8 日 (水) 0 時 56 分 31 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 24, 2023 23:10:31 UTC 2023 年 3 月 25 日 (土) 8 時 10 分 31 秒 (日本時間)

28×10280+53

c244

composite cofactor 合成数の残り
1353514334507013312638836158353914005585856851486045981298545422927458739599061111708126110153178571167995363038520751006842610388091177015981265722568992849346049581037728658028841836563116154388988947779204301690310184816597287854221095172959<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:56:35 UTC 2023 年 3 月 8 日 (水) 0 時 56 分 35 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 24, 2023 23:10:39 UTC 2023 年 3 月 25 日 (土) 8 時 10 分 39 秒 (日本時間)

28×10281+53

c228

composite cofactor 合成数の残り
692465768940007988019077648554919506742998494574482484268187133670374500114142550792500113222003874717075600571240448860645848074241072612527933233406693435275696467795138737151101251089903517253387261868849385541667225744981141<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 7, 2023 15:56:38 UTC 2023 年 3 月 8 日 (水) 0 時 56 分 38 秒 (日本時間)

28×10282+53

c237

name 名前Dmitry Domanov
date 日付March 6, 2023 18:35:31 UTC 2023 年 3 月 7 日 (火) 3 時 35 分 31 秒 (日本時間)
composite number 合成数
969189619121215185736281448317686034594871747261656242781161373529089247692141133585833058510138677974687449705517452595739834988194409153946937868945429777681755891416156508586125563813970814360190599857278732430285135721883117302352747<237>
prime factors 素因数
24634639935131135397907598526673895381789<41>
50290957364861508521281040891001186726887<41>
782298741764308624266345779057297882767998440294930507810986217435074711139542597033217753807308952180272857594166631988623890875499323802416343312677128129<156>
factorization results 素因数分解の結果
Resuming ECM residue saved by @6c563ae6b11c with GMP-ECM 7.0.5-dev on Sun Mar  5 13:24:29 2023 
Input number is 969189619121215185736281448317686034594871747261656242781161373529089247692141133585833058510138677974687449705517452595739834988194409153946937868945429777681755891416156508586125563813970814360190599857278732430285135721883117302352747 (237 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1999340443
Step 1 took 1ms
Step 2 took 6124ms
********** Factor found in step 2: 50290957364861508521281040891001186726887
Found prime factor of 41 digits: 50290957364861508521281040891001186726887
Composite cofactor 19271647825069876649800508082601416819550972101193568866878669594586509634527233556350960352530044722760806133906712782122907680525114911336019424477453582150712520653752697694223388118180526242781 has 197 digits
---
Resuming ECM residue saved by @6c563ae6b11c with GMP-ECM 7.0.5-dev on Sun Mar  5 13:24:29 2023 
Input number is 19271647825069876649800508082601416819550972101193568866878669594586509634527233556350960352530044722760806133906712782122907680525114911336019424477453582150712520653752697694223388118180526242781 (197 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1999341737
Step 1 took 0ms
Step 2 took 5036ms
********** Factor found in step 2: 24634639935131135397907598526673895381789
Found prime factor of 41 digits: 24634639935131135397907598526673895381789
Prime cofactor 782298741764308624266345779057297882767998440294930507810986217435074711139542597033217753807308952180272857594166631988623890875499323802416343312677128129 has 156 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10285+53

c230

name 名前Dmitry Domanov
date 日付March 6, 2023 18:34:35 UTC 2023 年 3 月 7 日 (火) 3 時 34 分 35 秒 (日本時間)
composite number 合成数
11357890615708790323138108760166130663447024107770897610930109279850579839221744114887658182110467105797704674062862043531363939321555758454378276934782314967899775144957328724664017799867020348575283469016350452266294129082530423<230>
prime factors 素因数
460999984679374192551953383337463721<36>
composite cofactor 合成数の残り
24637507577377060182858781519535597425871351377353301504123961004626730983451881218120171267170114006913157837110827622475173753320098444962588790458560843930053098792015797718941021108373196063<194>
factorization results 素因数分解の結果
Resuming ECM residue saved by @6c563ae6b11c with GMP-ECM 7.0.5-dev on Sun Mar  5 12:16:31 2023 
Input number is 11357890615708790323138108760166130663447024107770897610930109279850579839221744114887658182110467105797704674062862043531363939321555758454378276934782314967899775144957328724664017799867020348575283469016350452266294129082530423 (230 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:17206243
Step 1 took 0ms
Step 2 took 5617ms
********** Factor found in step 2: 460999984679374192551953383337463721
Found prime factor of 36 digits: 460999984679374192551953383337463721
Composite cofactor 24637507577377060182858781519535597425871351377353301504123961004626730983451881218120171267170114006913157837110827622475173753320098444962588790458560843930053098792015797718941021108373196063 has 194 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:57:06 UTC 2023 年 3 月 8 日 (水) 0 時 57 分 6 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovApril 29, 2023 09:16:54 UTC 2023 年 4 月 29 日 (土) 18 時 16 分 54 秒 (日本時間)

28×10286+53

c269

composite cofactor 合成数の残り
70485570223330212960001331902359312262569427913726104400516198360541302773648256075268519508004724661693366187984803574431291837190117870964304859573521790277672961614651346268269712206575006545780605294666818724813761727435453300329186430673030337470224204561741691141<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 7, 2023 15:57:09 UTC 2023 年 3 月 8 日 (水) 0 時 57 分 9 秒 (日本時間)

28×10287+53

c186

composite cofactor 合成数の残り
979558139705172216660485810511115004323148547723206978092040052910060465785981806948705369078172047764547442486781641160195710387622381293795407773803982001359830214176431745322716298577<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:57:13 UTC 2023 年 3 月 8 日 (水) 0 時 57 分 13 秒 (日本時間)
4511e654801000Dmitry DomanovApril 29, 2023 09:17:02 UTC 2023 年 4 月 29 日 (土) 18 時 17 分 2 秒 (日本時間)
4480Ignacio SantosAugust 27, 2023 12:22:12 UTC 2023 年 8 月 27 日 (日) 21 時 22 分 12 秒 (日本時間)
5043e61792 / 6250Dmitry DomanovApril 15, 2024 21:39:42 UTC 2024 年 4 月 16 日 (火) 6 時 39 分 42 秒 (日本時間)

28×10288+53

c205

composite cofactor 合成数の残り
1804085051817377122224219046999943015053607098257790152484033455130924426363705441554762893437499130487962048270708836910076598009296086300836916897487625757600962775262373755191952419985166490936917366159<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 7, 2023 15:57:16 UTC 2023 年 3 月 8 日 (水) 0 時 57 分 16 秒 (日本時間)

28×10289+53

c235

composite cofactor 合成数の残り
2315772420320004761967812243461572771179885636069490976295719225564342386346026339773012896023188376537879185609920985099647657743925224451890985334927377488836863657173752118090824504828558908380291340180621834793200630183591477960133<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:57:19 UTC 2023 年 3 月 8 日 (水) 0 時 57 分 19 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 24, 2023 23:10:48 UTC 2023 年 3 月 25 日 (土) 8 時 10 分 48 秒 (日本時間)

28×10291+53

c269

composite cofactor 合成数の残り
16425912166459646830457244585161286438357279399941676078927403856629017210658304774489199626753216883994051032088204459087551472426386290553006312683650328472521736932146771916339789137844310489155604087322124614979848745412310339827708628899866998683557609820967975519<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 7, 2023 15:57:23 UTC 2023 年 3 月 8 日 (水) 0 時 57 分 23 秒 (日本時間)

28×10292+53

c264

composite cofactor 合成数の残り
462321440295044216771804911862095062824584585422137818290651982528308581687762735350595925363121793453544079155095930432278073973932885711953796055223635447309015154766036602912402509438194419065274215277974429124680940405757141475738108241830909569074224916679549<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 7, 2023 15:57:26 UTC 2023 年 3 月 8 日 (水) 0 時 57 分 26 秒 (日本時間)

28×10293+53

c269

composite cofactor 合成数の残り
43589109784587007550646736820554072633604181758548504456736438670039980522083549394570299410634428473773505548704595937848655001386729370095585760757306280828779083446339755086079580248464494750720118368868034830101992895856698730136853254118211393447359621773306272247<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 7, 2023 15:57:29 UTC 2023 年 3 月 8 日 (水) 0 時 57 分 29 秒 (日本時間)

28×10294+53

c294

composite cofactor 合成数の残り
169696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969697<294>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:57:32 UTC 2023 年 3 月 8 日 (水) 0 時 57 分 32 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 29, 2023 09:23:40 UTC 2023 年 4 月 29 日 (土) 18 時 23 分 40 秒 (日本時間)

28×10295+53

c267

composite cofactor 合成数の残り
429141032876950513488945134860231813293117730201342932374544513574300384457034421908693471213298620824514042096088916490329832453625016068471266135986902011440482290439640830032150713092901912877161186530562072284799069308052383378790973286293070219924699358261883667<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 7, 2023 15:57:35 UTC 2023 年 3 月 8 日 (水) 0 時 57 分 35 秒 (日本時間)

28×10296+53

c257

composite cofactor 合成数の残り
18785613494209038101068351023462491519964910855693356314783489320204222177468860757985845462485412990251313599408197362822452212625750865065976610910216574260257307623482969931669333380235369347433845913021083853381007142673680522481168288268119036008826077<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 7, 2023 15:57:38 UTC 2023 年 3 月 8 日 (水) 0 時 57 分 38 秒 (日本時間)

28×10298+53

c237

composite cofactor 合成数の残り
119863901919022321996206517737497231283687681513797154413275022914585280988622842137677846655089369761780030627679407604423398664817701812924335609495050708283615269521042225823537172960585782781781575592557402235610441832062375811103629<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 7, 2023 15:57:42 UTC 2023 年 3 月 8 日 (水) 0 時 57 分 42 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 24, 2023 23:11:09 UTC 2023 年 3 月 25 日 (土) 8 時 11 分 9 秒 (日本時間)