Table of contents 目次

755×1093-89

c94

name 名前Dmitry Domanov
date 日付March 16, 2022 13:37:34 UTC 2022 年 3 月 16 日 (水) 22 時 37 分 34 秒 (日本時間)
composite number 合成数
1498015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873<94>
prime factors 素因数
4313321236556142732343090616170167586814833<43>
347299862648747249790314828586541110307384474556881<51>
factorization results 素因数分解の結果
N=1498015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873
  ( 94 digits)
SNFS difficulty: 95 digits.
Divisors found:
p43 factor: 4313321236556142732343090616170167586814833
p51 factor: 347299862648747249790314828586541110307384474556881
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.27 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1498015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873
m: 100000000000000000000000
deg: 4
c4: 3775
c0: -4
skew: 0.18
# Murphy_E = 5.069e-07
type: snfs
lss: 1
rlim: 270000
alim: 270000
lpbr: 24
lpba: 24
mfbr: 42
mfba: 42
rlambda: 2.1
alambda: 2.1
Factor base limits: 270000/270000
Large primes per side: 3
Large prime bits: 24/24
Max factor residue bits: 42/42
Sieved rational special-q in [135000, 235001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 17352 x 17578
Total sieving time: 0.25 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,95.0000,4,0,0,0,0,0,0,0,0,270000,270000,24,24,42,42,2.1,2.1,10000
total time: 0.27 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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×1097-89

c93

name 名前Dmitry Domanov
date 日付March 16, 2022 13:37:42 UTC 2022 年 3 月 16 日 (水) 22 時 37 分 42 秒 (日本時間)
composite number 合成数
361016147128568417485001811296907712605517130048822771770086555892567715153191344487249961651<93>
prime factors 素因数
172593727988880292517357404103488720090361<42>
2091710697342533956840918045205164084292614867450891<52>
factorization results 素因数分解の結果
N=361016147128568417485001811296907712605517130048822771770086555892567715153191344487249961651
  ( 93 digits)
SNFS difficulty: 99 digits.
Divisors found:
p42 factor: 172593727988880292517357404103488720090361
p52 factor: 2091710697342533956840918045205164084292614867450891
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.43 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 361016147128568417485001811296907712605517130048822771770086555892567715153191344487249961651
m: 1000000000000000000000000
deg: 4
c4: 3775
c0: -4
skew: 0.18
# Murphy_E = 3.387e-07
type: snfs
lss: 1
rlim: 320000
alim: 320000
lpbr: 24
lpba: 24
mfbr: 43
mfba: 43
rlambda: 2.1
alambda: 2.1

Factor base limits: 320000/320000
Large primes per side: 3
Large prime bits: 24/24
Max factor residue bits: 43/43
Sieved rational special-q in [160000, 310001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 21314 x 21542
Total sieving time: 0.41 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,99.0000,4,0,0,0,0,0,0,0,0,320000,320000,24,24,43,43,2.1,2.1,10000
total time: 0.43 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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10116-89

c90

name 名前Ignacio Santos
date 日付March 16, 2022 16:20:40 UTC 2022 年 3 月 17 日 (木) 1 時 20 分 40 秒 (日本時間)
composite number 合成数
435398743575516910253561916153007730613236930928340454511686872543364750174090914683441907<90>
prime factors 素因数
202945718121592321881520351836679480927805843<45>
2145395072167294222367227735841634396490409249<46>
factorization results 素因数分解の結果
prp46 = 2145395072167294222367227735841634396490409249
prp45 = 202945718121592321881520351836679480927805843
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10119-89

c106

name 名前Dmitry Domanov
date 日付March 16, 2022 19:01:39 UTC 2022 年 3 月 17 日 (木) 4 時 1 分 39 秒 (日本時間)
composite number 合成数
1260272378166302253551075827181274145405434150139700859649613521498735009977571464712949389145165510497681<106>
prime factors 素因数
3786379294993649815540210629785293441451921<43>
332843669368421230036289443342830587733165195591921868541570561<63>
factorization results 素因数分解の結果
N=1260272378166302253551075827181274145405434150139700859649613521498735009977571464712949389145165510497681
  ( 106 digits)
SNFS difficulty: 120 digits.
Divisors found:
p43 factor: 3786379294993649815540210629785293441451921
p63 factor: 332843669368421230036289443342830587733165195591921868541570561
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.60 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1260272378166302253551075827181274145405434150139700859649613521498735009977571464712949389145165510497681
m: 500000000000000000000000000000
deg: 4
c4: 151
c0: -1
skew: 0.29
# Murphy_E = 4.442e-08
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 615001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 61154 x 61379
Total sieving time: 1.58 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,120.000,4,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 1.60 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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10120-89

c94

name 名前Ignacio Santos
date 日付March 16, 2022 16:22:36 UTC 2022 年 3 月 17 日 (木) 1 時 22 分 36 秒 (日本時間)
composite number 合成数
7342310276148868217315107065802447440612329936247090896380816192339893250391816975141308845701<94>
prime factors 素因数
235930172610438143337213988365802570733<39>
31120692173070643409766581980636965767405695883233186297<56>
factorization results 素因数分解の結果
prp56 = 31120692173070643409766581980636965767405695883233186297
prp39 = 235930172610438143337213988365802570733
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10125-89

c108

name 名前Ignacio Santos
date 日付March 19, 2022 09:18:49 UTC 2022 年 3 月 19 日 (土) 18 時 18 分 49 秒 (日本時間)
composite number 合成数
222354350643294027505290413162236838705805077640857509873968326593709899529407313612467604474209551567335639<108>
prime factors 素因数
865960692356648339775069350410182545169653<42>
256771874989121058845346220523021377412297028745187649041412257563<66>
factorization results 素因数分解の結果
N=222354350643294027505290413162236838705805077640857509873968326593709899529407313612467604474209551567335639
  ( 108 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=865960692356648339775069350410182545169653 (pp42)
 r2=256771874989121058845346220523021377412297028745187649041412257563 (pp66)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.56 hours.
Scaled time: 12.24 units (timescale=7.855).
Factorization parameters were as follows:
n: 222354350643294027505290413162236838705805077640857509873968326593709899529407313612467604474209551567335639
m: 10000000000000000000000000000000
deg: 4
c4: 3775
c0: -4
skew: 0.18
# Murphy_E = 1.717e-08
type: snfs
lss: 1
rlim: 940000
alim: 940000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 940000/940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [470000, 845001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 152532 x 152759
Total sieving time: 1.54 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,127.000,4,0,0,0,0,0,0,0,0,940000,940000,26,26,46,46,2.3,2.3,75000
total time: 1.56 hours.
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10126-89

c95

name 名前Ignacio Santos
date 日付March 16, 2022 16:25:44 UTC 2022 年 3 月 17 日 (木) 1 時 25 分 44 秒 (日本時間)
composite number 合成数
12551984306093281158169442058538498495246545799511677786391631896201849853355978797957992930791<95>
prime factors 素因数
129273914869939591266560470093651080728052173<45>
97096033014252186130501424137328193657356408142467<50>
factorization results 素因数分解の結果
prp50 = 97096033014252186130501424137328193657356408142467
prp45 = 129273914869939591266560470093651080728052173
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10130-89

c119

name 名前ebina
date 日付March 17, 2022 09:44:54 UTC 2022 年 3 月 17 日 (木) 18 時 44 分 54 秒 (日本時間)
composite number 合成数
18749592261168524642494699824080591164315116744422501925119729024438803663006117887196481527343605562627225383428754687<119>
prime factors 素因数
3482877783894996333666646888118521790276567899<46>
5383362100119502039985238564671141404195882816136454838696235535687828013<73>
factorization results 素因数分解の結果
Thu Mar 17 16:58:32 2022  Msieve v. 1.53 (SVN unknown)
Thu Mar 17 16:58:32 2022  random seeds: 8967606c 6af40306
Thu Mar 17 16:58:32 2022  factoring 18749592261168524642494699824080591164315116744422501925119729024438803663006117887196481527343605562627225383428754687 (119 digits)
Thu Mar 17 16:58:32 2022  searching for 15-digit factors
Thu Mar 17 16:58:33 2022  commencing number field sieve (119-digit input)
Thu Mar 17 16:58:33 2022  R0: -500000000000000000000000000000000
Thu Mar 17 16:58:33 2022  R1: 1
Thu Mar 17 16:58:33 2022  A0: -10
Thu Mar 17 16:58:33 2022  A1: 0
Thu Mar 17 16:58:33 2022  A2: 0
Thu Mar 17 16:58:33 2022  A3: 0
Thu Mar 17 16:58:33 2022  A4: 151
Thu Mar 17 16:58:33 2022  skew 0.51, size 7.073e-14, alpha 0.402, combined = 9.927e-09 rroots = 2
Thu Mar 17 16:58:33 2022  
Thu Mar 17 16:58:33 2022  commencing square root phase
Thu Mar 17 16:58:33 2022  reading relations for dependency 1
Thu Mar 17 16:58:33 2022  read 68301 cycles
Thu Mar 17 16:58:33 2022  cycles contain 205666 unique relations
Thu Mar 17 16:58:36 2022  read 205666 relations
Thu Mar 17 16:58:37 2022  multiplying 205666 relations
Thu Mar 17 16:58:40 2022  multiply complete, coefficients have about 5.49 million bits
Thu Mar 17 16:58:40 2022  initial square root is modulo 2048017
Thu Mar 17 16:58:44 2022  GCD is N, no factor found
Thu Mar 17 16:58:44 2022  reading relations for dependency 2
Thu Mar 17 16:58:44 2022  read 68180 cycles
Thu Mar 17 16:58:44 2022  cycles contain 205136 unique relations
Thu Mar 17 16:58:47 2022  read 205136 relations
Thu Mar 17 16:58:47 2022  multiplying 205136 relations
Thu Mar 17 16:58:50 2022  multiply complete, coefficients have about 5.47 million bits
Thu Mar 17 16:58:50 2022  initial square root is modulo 1977089
Thu Mar 17 16:58:54 2022  GCD is 1, no factor found
Thu Mar 17 16:58:54 2022  reading relations for dependency 3
Thu Mar 17 16:58:54 2022  read 68043 cycles
Thu Mar 17 16:58:54 2022  cycles contain 205726 unique relations
Thu Mar 17 16:58:57 2022  read 205726 relations
Thu Mar 17 16:58:58 2022  multiplying 205726 relations
Thu Mar 17 16:59:01 2022  multiply complete, coefficients have about 5.49 million bits
Thu Mar 17 16:59:01 2022  initial square root is modulo 2064373
Thu Mar 17 16:59:05 2022  GCD is 1, no factor found
Thu Mar 17 16:59:05 2022  reading relations for dependency 4
Thu Mar 17 16:59:05 2022  read 68193 cycles
Thu Mar 17 16:59:05 2022  cycles contain 205230 unique relations
Thu Mar 17 16:59:08 2022  read 205230 relations
Thu Mar 17 16:59:09 2022  multiplying 205230 relations
Thu Mar 17 16:59:11 2022  multiply complete, coefficients have about 5.47 million bits
Thu Mar 17 16:59:12 2022  initial square root is modulo 1986689
Thu Mar 17 16:59:16 2022  GCD is 1, no factor found
Thu Mar 17 16:59:16 2022  reading relations for dependency 5
Thu Mar 17 16:59:16 2022  read 68259 cycles
Thu Mar 17 16:59:16 2022  cycles contain 206284 unique relations
Thu Mar 17 16:59:18 2022  read 206284 relations
Thu Mar 17 16:59:19 2022  multiplying 206284 relations
Thu Mar 17 16:59:22 2022  multiply complete, coefficients have about 5.50 million bits
Thu Mar 17 16:59:22 2022  initial square root is modulo 2147053
Thu Mar 17 16:59:26 2022  sqrtTime: 53
Thu Mar 17 16:59:26 2022  p46 factor: 3482877783894996333666646888118521790276567899
Thu Mar 17 16:59:26 2022  p73 factor: 5383362100119502039985238564671141404195882816136454838696235535687828013
Thu Mar 17 16:59:26 2022  elapsed time 00:00:54
Thu Mar 17 16:59:26 2022 -> Computing 1.6475e+09 scale for this machine...
Thu Mar 17 16:59:26 2022 -> procrels -speedtest> PIPE
Thu Mar 17 16:59:29 2022 -> Factorization summary written to s133-83888_130.txt

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10131-89

c122

name 名前Ignacio Santos
date 日付March 19, 2022 23:09:34 UTC 2022 年 3 月 20 日 (日) 8 時 9 分 34 秒 (日本時間)
composite number 合成数
16712050790382061267535880920834603672382287296376849849110187392053903034360709377057994222248002905565937191562589275829<122>
prime factors 素因数
252229335303249652076800918748949027341<39>
66257363642058283171367151183294247280370784820302134032938235944260502858174807369<83>
factorization results 素因数分解の結果
N=16712050790382061267535880920834603672382287296376849849110187392053903034360709377057994222248002905565937191562589275829
  ( 122 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=252229335303249652076800918748949027341 (pp39)
 r2=66257363642058283171367151183294247280370784820302134032938235944260502858174807369 (pp83)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.40 hours.
Scaled time: 18.80 units (timescale=7.819).
Factorization parameters were as follows:
n: 16712050790382061267535880920834603672382287296376849849110187392053903034360709377057994222248002905565937191562589275829
m: 500000000000000000000000000000000
deg: 4
c4: 151
c0: -1
skew: 0.29
# Murphy_E = 1.169e-08
type: snfs
lss: 1
rlim: 1150000
alim: 1150000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1150000/1150000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [575000, 1175001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 149279 x 149506
Total sieving time: 2.38 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,132.000,4,0,0,0,0,0,0,0,0,1150000,1150000,26,26,47,47,2.3,2.3,100000
total time: 2.40 hours.
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10132-89

c132

name 名前Dmitry Domanov
date 日付March 20, 2022 09:22:53 UTC 2022 年 3 月 20 日 (日) 18 時 22 分 53 秒 (日本時間)
composite number 合成数
147691705790297339593114241001564945226917057902973395931142410015649452269170579029733959311424100156494522691705790297339593114241<132>
prime factors 素因数
238541995310001955430748880659965450801<39>
3258238201705670850105835386004046350097537389<46>
190023987652464156305087692033917740694463284469<48>
factorization results 素因数分解の結果
N=147691705790297339593114241001564945226917057902973395931142410015649452269170579029733959311424100156494522691705790297339593114241
  ( 132 digits)
SNFS difficulty: 134 digits.
Divisors found:
p39 factor: 238541995310001955430748880659965450801
p46 factor: 3258238201705670850105835386004046350097537389
p48 factor: 190023987652464156305087692033917740694463284469
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 3.78 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 147691705790297339593114241001564945226917057902973395931142410015649452269170579029733959311424100156494522691705790297339593114241
m: 1000000000000000000000000000000000
deg: 4
c4: 755
c0: -8
skew: 0.32
# Murphy_E = 6.826e-09
type: snfs
lss: 1
rlim: 1240000
alim: 1240000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1240000/1240000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [620000, 1520001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 184544 x 184769
Total sieving time: 3.71 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,134.000,4,0,0,0,0,0,0,0,0,1240000,1240000,26,26,47,47,2.3,2.3,100000
total time: 3.78 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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10134-89

c100

name 名前ivelive
date 日付March 17, 2022 03:33:23 UTC 2022 年 3 月 17 日 (木) 12 時 33 分 23 秒 (日本時間)
composite number 合成数
9951638694157525008441658499004155081298820847501571013215470702150743995346121926217258145251538289<100>
prime factors 素因数
17044555665325591967166358373250120027317<41>
583860259519849724284046339717298207517356683109332616656717<60>
factorization results 素因数分解の結果
03/17/22 12:14:50 v1.34.5 @ DESKTOP-RJPVCOL, starting SIQS on c100: 9951638694157525008441658499004155081298820847501571013215470702150743995346121926217258145251538289
03/17/22 12:14:50 v1.34.5 @ DESKTOP-RJPVCOL, random seeds: 0, 1133357688
03/17/22 12:14:51 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieve params ====
03/17/22 12:14:51 v1.34.5 @ DESKTOP-RJPVCOL, n = 100 digits, 333 bits
03/17/22 12:14:51 v1.34.5 @ DESKTOP-RJPVCOL, factor base: 122448 primes (max prime = 3415337)
03/17/22 12:14:51 v1.34.5 @ DESKTOP-RJPVCOL, single large prime cutoff: 512300550 (150 * pmax)
03/17/22 12:14:51 v1.34.5 @ DESKTOP-RJPVCOL, double large prime range from 32 to 32 bits
03/17/22 12:14:51 v1.34.5 @ DESKTOP-RJPVCOL, double large prime cutoff: 4754936043727471
03/17/22 12:14:51 v1.34.5 @ DESKTOP-RJPVCOL, allocating 9 large prime slices of factor base
03/17/22 12:14:51 v1.34.5 @ DESKTOP-RJPVCOL, buckets hold 2048 elements
03/17/22 12:14:51 v1.34.5 @ DESKTOP-RJPVCOL, using SSE4.1 enabled 32k sieve core
03/17/22 12:14:51 v1.34.5 @ DESKTOP-RJPVCOL, sieve interval: 22 blocks of size 32768
03/17/22 12:14:51 v1.34.5 @ DESKTOP-RJPVCOL, polynomial A has ~ 13 factors
03/17/22 12:14:51 v1.34.5 @ DESKTOP-RJPVCOL, using multiplier of 1
03/17/22 12:14:51 v1.34.5 @ DESKTOP-RJPVCOL, using SPV correction of 20 bits, starting at offset 32
03/17/22 12:14:51 v1.34.5 @ DESKTOP-RJPVCOL, trial factoring cutoff at 100 bits
03/17/22 12:14:51 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieving started (64 threads) ====
03/17/22 12:32:21 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 221434334 sieve locations out of 3185558683648
03/17/22 12:32:21 v1.34.5 @ DESKTOP-RJPVCOL, squfof: 1 failures, 1541451 attempts, 44095926 outside range, 7512701 prp, 1430197 useful
03/17/22 12:32:21 v1.34.5 @ DESKTOP-RJPVCOL, 141083 relations found: 32761 full + 108322 from 1902606 partial, using 2209444 polys (1371 A polys)
03/17/22 12:32:21 v1.34.5 @ DESKTOP-RJPVCOL, on average, sieving found 0.88 rels/poly and 1841.42 rels/sec
03/17/22 12:32:21 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 221434334 sieve locations out of 3185558683648
03/17/22 12:32:21 v1.34.5 @ DESKTOP-RJPVCOL, ==== post processing stage (msieve-1.38) ====
03/17/22 12:32:22 v1.34.5 @ DESKTOP-RJPVCOL, begin with 1935367 relations
03/17/22 12:32:22 v1.34.5 @ DESKTOP-RJPVCOL, reduce to 365627 relations in 11 passes
03/17/22 12:32:23 v1.34.5 @ DESKTOP-RJPVCOL, failed to read relation 58894
03/17/22 12:32:24 v1.34.5 @ DESKTOP-RJPVCOL, failed to read relation 255030
03/17/22 12:32:24 v1.34.5 @ DESKTOP-RJPVCOL, recovered 365625 relations
03/17/22 12:32:24 v1.34.5 @ DESKTOP-RJPVCOL, recovered 336939 polynomials
03/17/22 12:32:24 v1.34.5 @ DESKTOP-RJPVCOL, attempting to build 141081 cycles
03/17/22 12:32:24 v1.34.5 @ DESKTOP-RJPVCOL, found 141081 cycles in 6 passes
03/17/22 12:32:24 v1.34.5 @ DESKTOP-RJPVCOL, distribution of cycle lengths:
03/17/22 12:32:24 v1.34.5 @ DESKTOP-RJPVCOL,    length 1 : 32761
03/17/22 12:32:24 v1.34.5 @ DESKTOP-RJPVCOL,    length 2 : 23958
03/17/22 12:32:24 v1.34.5 @ DESKTOP-RJPVCOL,    length 3 : 24294
03/17/22 12:32:24 v1.34.5 @ DESKTOP-RJPVCOL,    length 4 : 19494
03/17/22 12:32:24 v1.34.5 @ DESKTOP-RJPVCOL,    length 5 : 15047
03/17/22 12:32:24 v1.34.5 @ DESKTOP-RJPVCOL,    length 6 : 10061
03/17/22 12:32:24 v1.34.5 @ DESKTOP-RJPVCOL,    length 7 : 6682
03/17/22 12:32:24 v1.34.5 @ DESKTOP-RJPVCOL,    length 9+: 8784
03/17/22 12:32:24 v1.34.5 @ DESKTOP-RJPVCOL, largest cycle: 21 relations
03/17/22 12:32:24 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 122448 x 141081 (43.7 MB) with weight 10338980 (73.28/col)
03/17/22 12:32:24 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 10338980 (73.28/col)
03/17/22 12:32:25 v1.34.5 @ DESKTOP-RJPVCOL, filtering completed in 4 passes
03/17/22 12:32:25 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 113182 x 113246 (30.7 MB) with weight 7153335 (63.17/col)
03/17/22 12:32:25 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 7153335 (63.17/col)
03/17/22 12:32:25 v1.34.5 @ DESKTOP-RJPVCOL, saving the first 48 matrix rows for later
03/17/22 12:32:25 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 113134 x 113246 (26.3 MB) with weight 6292880 (55.57/col)
03/17/22 12:32:25 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 5771354 (50.96/col)
03/17/22 12:32:25 v1.34.5 @ DESKTOP-RJPVCOL, matrix includes 64 packed rows
03/17/22 12:32:25 v1.34.5 @ DESKTOP-RJPVCOL, using block size 45298 for processor cache size 12288 kB
03/17/22 12:32:26 v1.34.5 @ DESKTOP-RJPVCOL, commencing Lanczos iteration
03/17/22 12:32:26 v1.34.5 @ DESKTOP-RJPVCOL, memory use: 20.9 MB
03/17/22 12:32:51 v1.34.5 @ DESKTOP-RJPVCOL, lanczos halted after 1789 iterations (dim = 113128)
03/17/22 12:32:51 v1.34.5 @ DESKTOP-RJPVCOL, recovered 13 nontrivial dependencies
03/17/22 12:32:51 v1.34.5 @ DESKTOP-RJPVCOL, prp60 = 583860259519849724284046339717298207517356683109332616656717
03/17/22 12:32:51 v1.34.5 @ DESKTOP-RJPVCOL, prp41 = 17044555665325591967166358373250120027317
03/17/22 12:32:51 v1.34.5 @ DESKTOP-RJPVCOL, Lanczos elapsed time = 29.3310 seconds.
03/17/22 12:32:51 v1.34.5 @ DESKTOP-RJPVCOL, Sqrt elapsed time = 0.3690 seconds.
03/17/22 12:32:51 v1.34.5 @ DESKTOP-RJPVCOL, SIQS elapsed time = 1080.7204 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10135-89

c106

name 名前Erik Branger
date 日付March 19, 2022 14:15:49 UTC 2022 年 3 月 19 日 (土) 23 時 15 分 49 秒 (日本時間)
composite number 合成数
7383054761562970435169387694313910916937549377701727062044146824643870722187986982734884897391221748905829<106>
prime factors 素因数
6839647126863655559298865704645895366156873253<46>
1079449659407867197012835492032564161250300860687440673456193<61>
factorization results 素因数分解の結果
Number: 83888_135
N = 7383054761562970435169387694313910916937549377701727062044146824643870722187986982734884897391221748905829 (106 digits)
SNFS difficulty: 137 digits.
Divisors found:
r1=6839647126863655559298865704645895366156873253 (pp46)
r2=1079449659407867197012835492032564161250300860687440673456193 (pp61)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 3.24 hours.
Factorization parameters were as follows:
n: 7383054761562970435169387694313910916937549377701727062044146824643870722187986982734884897391221748905829
m: 5000000000000000000000000000000000
deg: 4
c4: 151
c0: -1
skew: 0.29
# Murphy_E = 7.419e-09
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 3253372
Relations: 332022 relations
Pruned matrix : 198487 x 198712
Polynomial selection time: 0.00 hours.
Total sieving time: 3.16 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: snfs,137,4,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,100000
total time: 3.24 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10136-89

c132

name 名前Erik Branger
date 日付March 19, 2022 16:04:27 UTC 2022 年 3 月 20 日 (日) 1 時 4 分 27 秒 (日本時間)
composite number 合成数
602418098267397675097009261440198952765952829146886607519582178765137051314212981846709089667260946136321710095027266001660918560733<132>
prime factors 素因数
3525773129402721218019394532768837764176238598259204031838077<61>
170861276706550171688428729042513266774057803393355184036561076560834529<72>
factorization results 素因数分解の結果
Number: 83888_136
N = 602418098267397675097009261440198952765952829146886607519582178765137051314212981846709089667260946136321710095027266001660918560733 (132 digits)
SNFS difficulty: 139 digits.
Divisors found:
r1=3525773129402721218019394532768837764176238598259204031838077 (pp61)
r2=170861276706550171688428729042513266774057803393355184036561076560834529 (pp72)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 6.85 hours.
Factorization parameters were as follows:
n: 602418098267397675097009261440198952765952829146886607519582178765137051314212981846709089667260946136321710095027266001660918560733
m: 10000000000000000000000000000000000
deg: 4
c4: 755
c0: -8
skew: 0.32
# Murphy_E = 4.326e-09
type: snfs
lss: 1
rlim: 1440000
alim: 1440000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1440000/1440000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 3486817
Relations: 320816 relations
Pruned matrix : 199269 x 199499
Polynomial selection time: 0.00 hours.
Total sieving time: 6.78 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: snfs,139,4,0,0,0,0,0,0,0,0,1440000,1440000,26,26,48,48,2.3,2.3,100000
total time: 6.85 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10138-89

c92

name 名前Ignacio Santos
date 日付March 16, 2022 14:22:01 UTC 2022 年 3 月 16 日 (水) 23 時 22 分 1 秒 (日本時間)
composite number 合成数
21392317173149462413213389515195637301755903510207871009107908710531968354009623248280515943<92>
prime factors 素因数
1637373717390896232779888018959633<34>
13065018050514118565191421024974081826351192585917517454071<59>
factorization results 素因数分解の結果
prp59 = 13065018050514118565191421024974081826351192585917517454071
prp34 = 1637373717390896232779888018959633
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10141-89

c110

name 名前Ignacio Santos
date 日付March 20, 2022 10:21:25 UTC 2022 年 3 月 20 日 (日) 19 時 21 分 25 秒 (日本時間)
composite number 合成数
20330842698662930658310530516345270047806995296935314802728334120992365467090589910817527979381958051229619351<110>
prime factors 素因数
344404464209165264493086853298344412607609603<45>
59031879117326168133555528090748357536214538756515944206541578717<65>
factorization results 素因数分解の結果
N=20330842698662930658310530516345270047806995296935314802728334120992365467090589910817527979381958051229619351
  ( 110 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=344404464209165264493086853298344412607609603 (pp45)
 r2=59031879117326168133555528090748357536214538756515944206541578717 (pp65)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.97 hours.
Scaled time: 62.84 units (timescale=7.886).
Factorization parameters were as follows:
n: 20330842698662930658310530516345270047806995296935314802728334120992365467090589910817527979381958051229619351
m: 100000000000000000000000000000000000
deg: 4
c4: 3775
c0: -4
skew: 0.18
# Murphy_E = 2.791e-09
type: snfs
lss: 1
rlim: 1730000
alim: 1730000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1730000/1730000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [865000, 1665001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 238049 x 238274
Total sieving time: 7.92 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,143.000,4,0,0,0,0,0,0,0,0,1730000,1730000,26,26,48,48,2.3,2.3,100000
total time: 7.97 hours.
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10142-89

c139

name 名前Ignacio Santos
date 日付March 20, 2022 11:14:26 UTC 2022 年 3 月 20 日 (日) 20 時 14 分 26 秒 (日本時間)
composite number 合成数
9078098096364913090737694668090304831712502044075068055675795265441183543512346213411056281803403264748602814571129002779942092555719081561<139>
prime factors 素因数
3646190124656983028410596447973618821542608498609899637268477<61>
2489748967004000988954807428482287062480843683412527764004909489467398976151693<79>
factorization results 素因数分解の結果
N=9078098096364913090737694668090304831712502044075068055675795265441183543512346213411056281803403264748602814571129002779942092555719081561
  ( 139 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=3646190124656983028410596447973618821542608498609899637268477 (pp61)
 r2=2489748967004000988954807428482287062480843683412527764004909489467398976151693 (pp79)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.86 hours.
Scaled time: 62.06 units (timescale=7.899).
Factorization parameters were as follows:
n: 9078098096364913090737694668090304831712502044075068055675795265441183543512346213411056281803403264748602814571129002779942092555719081561
m: 500000000000000000000000000000000000
deg: 4
c4: 151
c0: -10
skew: 0.51
# Murphy_E = 2.507e-09
type: snfs
lss: 1
rlim: 1830000
alim: 1830000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1830000/1830000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [915000, 1715001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 253864 x 254094
Total sieving time: 7.82 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,144.000,4,0,0,0,0,0,0,0,0,1830000,1830000,26,26,49,49,2.3,2.3,100000
total time: 7.86 hours.
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10145-89

c144

name 名前Bob Backstrom
date 日付March 17, 2022 15:43:45 UTC 2022 年 3 月 18 日 (金) 0 時 43 分 45 秒 (日本時間)
composite number 合成数
124686220108336636279561368740916897872902629145197516184436517373497159466243889549478134495970405601796802748051261725459109525696921654115471<144>
prime factors 素因数
1224951972125850383386392514748967295837795473869<49>
101788660245959826385111590303535954031794561523040092848531889456402395912005261839473164198859<96>
factorization results 素因数分解の結果
Number: n
N=124686220108336636279561368740916897872902629145197516184436517373497159466243889549478134495970405601796802748051261725459109525696921654115471  ( 144 digits)
SNFS difficulty: 147 digits.
Divisors found:

Fri Mar 18 02:31:33 2022  p49 factor: 1224951972125850383386392514748967295837795473869
Fri Mar 18 02:31:33 2022  p96 factor: 101788660245959826385111590303535954031794561523040092848531889456402395912005261839473164198859
Fri Mar 18 02:31:33 2022  elapsed time 00:04:08 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 755x10^145-8 = 838(145)
#
n: 124686220108336636279561368740916897872902629145197516184436517373497159466243889549478134495970405601796802748051261725459109525696921654115471
m: 1000000000000000000000000000000000000
deg: 4
c4: 3775
c0: -4
skew: 0.18
# Murphy_E = 1.752e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1268552 hash collisions in 10522133 relations (9952189 unique)
Msieve: matrix is 426981 x 427223 (55.4 MB)

Sieving start time : 2022/03/18 01:58:30
Sieving end time  : 2022/03/18 02:26:58

Total sieving time: 0hrs 28min 28secs.

Total relation processing time: 0hrs 1min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 10sec.

Prototype def-par.txt line would be:
snfs,147,4,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10146-89

c96

name 名前Ignacio Santos
date 日付March 16, 2022 14:31:12 UTC 2022 年 3 月 16 日 (水) 23 時 31 分 12 秒 (日本時間)
composite number 合成数
118838876082337507451865014502237043861777676637371938642065130961918677219006133027922321356011<96>
prime factors 素因数
4315645056868777727594100248129465263<37>
27536758587964418754206731989010521366300828211363446238597<59>
factorization results 素因数分解の結果
prp37 = 4315645056868777727594100248129465263
prp59 = 27536758587964418754206731989010521366300828211363446238597
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10149-89

c116

name 名前Ignacio Santos
date 日付March 21, 2022 22:57:33 UTC 2022 年 3 月 22 日 (火) 7 時 57 分 33 秒 (日本時間)
composite number 合成数
32569060324489221550131405709453983578366672526491354333476227265781840500005817964886031543801215667044953315283649<116>
prime factors 素因数
3224219242688550448864964505074861754007006089379<49>
10101378930215413854160134541098680144907403382414672136770398925131<68>
factorization results 素因数分解の結果
N=32569060324489221550131405709453983578366672526491354333476227265781840500005817964886031543801215667044953315283649
  ( 116 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=3224219242688550448864964505074861754007006089379 (pp49)
 r2=10101378930215413854160134541098680144907403382414672136770398925131 (pp68)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.69 hours.
Scaled time: 67.50 units (timescale=7.770).
Factorization parameters were as follows:
n: 32569060324489221550131405709453983578366672526491354333476227265781840500005817964886031543801215667044953315283649
m: 500000000000000000000000000000
deg: 5
c5: 302
c0: -1
skew: 0.32
# Murphy_E = 1.312e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 370491 x 370721
Total sieving time: 8.61 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 8.69 hours.
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10152-89

c132

name 名前Ignacio Santos
date 日付March 23, 2022 18:34:30 UTC 2022 年 3 月 24 日 (木) 3 時 34 分 30 秒 (日本時間)
composite number 合成数
425504466582153255596007370554075883809605578344102859781579926452716263958034517924277119776606906616830971032261750109334943530791<132>
prime factors 素因数
802821354645823399124989811869808074477373<42>
530011395586096349056025488632010718748936273344267968997929512826841933175251684120751667<90>
factorization results 素因数分解の結果
N=425504466582153255596007370554075883809605578344102859781579926452716263958034517924277119776606906616830971032261750109334943530791
  ( 132 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=802821354645823399124989811869808074477373 (pp42)
 r2=530011395586096349056025488632010718748936273344267968997929512826841933175251684120751667 (pp90)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.05 hours.
Scaled time: 71.67 units (timescale=7.918).
Factorization parameters were as follows:
n: 425504466582153255596007370554075883809605578344102859781579926452716263958034517924277119776606906616830971032261750109334943530791
m: 1000000000000000000000000000000
deg: 5
c5: 18875
c0: -2
skew: 0.16
# Murphy_E = 9.452e-10
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 497463 x 497689
Total sieving time: 8.94 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 9.05 hours.
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 22, 2022 15:01:34 UTC 2022 年 3 月 23 日 (水) 0 時 1 分 34 秒 (日本時間)

755×10153-89

c144

name 名前Bob Backstrom
date 日付March 18, 2022 18:59:38 UTC 2022 年 3 月 19 日 (土) 3 時 59 分 38 秒 (日本時間)
composite number 合成数
287450206395393610795220931565407433632184439918684570862694689209765564555347758594791040915636571002723507134112772191451415023038709164534733<144>
prime factors 素因数
382214549036847818908690772779477987604460418007018074376161077500872249<72>
752065056444729040881673113616829952151765781963435550154272691761918517<72>
factorization results 素因数分解の結果
Number: n
N=287450206395393610795220931565407433632184439918684570862694689209765564555347758594791040915636571002723507134112772191451415023038709164534733  ( 144 digits)
SNFS difficulty: 155 digits.
Divisors found:

Sat Mar 19 05:55:00 2022  p72 factor: 382214549036847818908690772779477987604460418007018074376161077500872249
Sat Mar 19 05:55:00 2022  p72 factor: 752065056444729040881673113616829952151765781963435550154272691761918517
Sat Mar 19 05:55:00 2022  elapsed time 00:05:43 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 755x10^153-8 = 838(153)
#
n: 287450206395393610795220931565407433632184439918684570862694689209765564555347758594791040915636571002723507134112772191451415023038709164534733
m: 5000000000000000000000000000000
deg: 5
c5: 151
c0: -5
skew: 0.51
# Murphy_E = 9.03e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1648935 hash collisions in 15750557 relations (15113752 unique)
Msieve: matrix is 330916 x 331141 (108.6 MB)

Sieving start time : 2022/03/19 05:16:11
Sieving end time  : 2022/03/19 05:41:27

Total sieving time: 0hrs 25min 16secs.
Total relation processing time: 0hrs 1min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 28sec.

Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10154-89

c153

name 名前Bob Backstrom
date 日付March 17, 2022 19:01:23 UTC 2022 年 3 月 18 日 (金) 4 時 1 分 23 秒 (日本時間)
composite number 合成数
754396482813749000799360511590727418065547561950439648281374900079936051159072741806554756195043964828137490007993605115907274180655475619504396482813749<153>
prime factors 素因数
743513173720792895955430789173062243788137029903<48>
1014637681587391818735779259987747162004409708228668558045366989698817384708996841206394685823657268130683<106>
factorization results 素因数分解の結果
Number: n
N=754396482813749000799360511590727418065547561950439648281374900079936051159072741806554756195043964828137490007993605115907274180655475619504396482813749  ( 153 digits)
SNFS difficulty: 155 digits.
Divisors found:

Fri Mar 18 05:51:10 2022  p48 factor: 743513173720792895955430789173062243788137029903
Fri Mar 18 05:51:10 2022  p106 factor: 1014637681587391818735779259987747162004409708228668558045366989698817384708996841206394685823657268130683
Fri Mar 18 05:51:10 2022  elapsed time 00:07:24 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 755x10^154-8 = 838(154)
#
n: 754396482813749000799360511590727418065547561950439648281374900079936051159072741806554756195043964828137490007993605115907274180655475619504396482813749
m: 5000000000000000000000000000000
deg: 5
c5: 302
c0: -1
skew: 0.32
# Murphy_E = 8.452e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1481615 hash collisions in 15833641 relations (15024371 unique)
Msieve: matrix is 353756 x 353981 (116.1 MB)

Sieving start time : 2022/03/18 05:14:42
Sieving end time  : 2022/03/18 05:43:14

Total sieving time: 0hrs 28min 32secs.

Total relation processing time: 0hrs 2min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 52sec.

Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10157-89

c133

name 名前Ignacio Santos
date 日付March 23, 2022 23:02:23 UTC 2022 年 3 月 24 日 (木) 8 時 2 分 23 秒 (日本時間)
composite number 合成数
1271429626856607004136473320457467929514426730033520523741321652509540399995036303054806589049345014143910181141058653221990010372379<133>
prime factors 素因数
61599549308363053901602414216425301001879961781364937741812221<62>
20640242357812048874129568540026092864686422368941680372384815794212599<71>
factorization results 素因数分解の結果
N=1271429626856607004136473320457467929514426730033520523741321652509540399995036303054806589049345014143910181141058653221990010372379
  ( 133 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=61599549308363053901602414216425301001879961781364937741812221 (pp62)
 r2=20640242357812048874129568540026092864686422368941680372384815794212599 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 15.07 hours.
Scaled time: 118.60 units (timescale=7.868).
Factorization parameters were as follows:
n: 1271429626856607004136473320457467929514426730033520523741321652509540399995036303054806589049345014143910181141058653221990010372379
m: 10000000000000000000000000000000
deg: 5
c5: 18875
c0: -2
skew: 0.16
# Murphy_E = 6.075e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 2800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 459516 x 459741
Total sieving time: 14.99 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 15.07 hours.
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 21, 2022 17:20:56 UTC 2022 年 3 月 22 日 (火) 2 時 20 分 56 秒 (日本時間)

755×10158-89

c131

name 名前Ignacio Santos
date 日付March 24, 2022 22:05:14 UTC 2022 年 3 月 25 日 (金) 7 時 5 分 14 秒 (日本時間)
composite number 合成数
32463252457890216228912481554522916877892961810012809285985696537603246597946285858051995009119942730910201631739582668843565699609<131>
prime factors 素因数
195395215182653667403026853984577182141077091107168182938201<60>
166141491374514281332575596287156167248375953606207673384185075719695809<72>
factorization results 素因数分解の結果
N=32463252457890216228912481554522916877892961810012809285985696537603246597946285858051995009119942730910201631739582668843565699609
  ( 131 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=195395215182653667403026853984577182141077091107168182938201 (pp60)
 r2=166141491374514281332575596287156167248375953606207673384185075719695809 (pp72)
Version: Msieve v. 1.52 (SVN 927)
Total time: 15.48 hours.
Scaled time: 120.43 units (timescale=7.782).
Factorization parameters were as follows:
n: 32463252457890216228912481554522916877892961810012809285985696537603246597946285858051995009119942730910201631739582668843565699609
m: 50000000000000000000000000000000
deg: 5
c5: 151
c0: -5
skew: 0.51
# Murphy_E = 5.79e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 2850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 568660 x 568890
Total sieving time: 15.35 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 15.48 hours.
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 21, 2022 17:41:11 UTC 2022 年 3 月 22 日 (火) 2 時 41 分 11 秒 (日本時間)

755×10159-89

c132

name 名前Ignacio Santos
date 日付March 24, 2022 22:39:20 UTC 2022 年 3 月 25 日 (金) 7 時 39 分 20 秒 (日本時間)
composite number 合成数
141958989986898229423086112312030936637241986319807706192272644472097087930621863176812047829642657500264186043732783114580741183357<132>
prime factors 素因数
6513426103340148427202285287011640641525801515168548067<55>
21794826215054512542903441530766596836938481928085870126156442364215513251871<77>
factorization results 素因数分解の結果
N=141958989986898229423086112312030936637241986319807706192272644472097087930621863176812047829642657500264186043732783114580741183357
  ( 132 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=6513426103340148427202285287011640641525801515168548067 (pp55)
 r2=21794826215054512542903441530766596836938481928085870126156442364215513251871 (pp77)
Version: Msieve v. 1.52 (SVN 927)
Total time: 16.36 hours.
Scaled time: 128.99 units (timescale=7.886).
Factorization parameters were as follows:
n: 141958989986898229423086112312030936637241986319807706192272644472097087930621863176812047829642657500264186043732783114580741183357
m: 50000000000000000000000000000000
deg: 5
c5: 302
c0: -1
skew: 0.32
# Murphy_E = 5.417e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 695053 x 695279
Total sieving time: 16.21 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 16.36 hours.
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 21, 2022 17:47:29 UTC 2022 年 3 月 22 日 (火) 2 時 47 分 29 秒 (日本時間)

755×10163-89

c127

name 名前Ignacio Santos
date 日付March 30, 2022 21:12:16 UTC 2022 年 3 月 31 日 (木) 6 時 12 分 16 秒 (日本時間)
composite number 合成数
1004739015497230985586953683601219797024548632042052541572059121614646848517938482677046649353552642334055550554341530308875537<127>
prime factors 素因数
106178116906225486985300692062920721861166258682695494684913<60>
9462769210576578223545468547764686341225003463639019375567984559649<67>
factorization results 素因数分解の結果
N=1004739015497230985586953683601219797024548632042052541572059121614646848517938482677046649353552642334055550554341530308875537
  ( 127 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=106178116906225486985300692062920721861166258682695494684913 (pp60)
 r2=9462769210576578223545468547764686341225003463639019375567984559649 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 21.62 hours.
Scaled time: 168.08 units (timescale=7.776).
Factorization parameters were as follows:
n: 1004739015497230985586953683601219797024548632042052541572059121614646848517938482677046649353552642334055550554341530308875537
m: 500000000000000000000000000000000
deg: 5
c5: 151
c0: -5
skew: 0.51
# Murphy_E = 3.695e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2000000, 3700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 770473 x 770698
Total sieving time: 21.44 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 21.62 hours.
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 20, 2022 16:50:35 UTC 2022 年 3 月 21 日 (月) 1 時 50 分 35 秒 (日本時間)

755×10164-89

c140

name 名前Bob Backstrom
date 日付March 20, 2022 10:08:10 UTC 2022 年 3 月 20 日 (日) 19 時 8 分 10 秒 (日本時間)
composite number 合成数
32280583341698841745607377164332047436782838983584645531090616674450355142176661377209683226049928870847764040054160904626567900494190613353<140>
prime factors 素因数
2263676819139364410918217415845186891<37>
14260243807228504939627964896451512074778541302119728869400345083699981422204549258821918009230657795483<104>
factorization results 素因数分解の結果
Number: n
N=32280583341698841745607377164332047436782838983584645531090616674450355142176661377209683226049928870847764040054160904626567900494190613353  ( 140 digits)
SNFS difficulty: 165 digits.
Divisors found:

Sun Mar 20 21:03:43 2022  p37 factor: 2263676819139364410918217415845186891
Sun Mar 20 21:03:43 2022  p104 factor: 14260243807228504939627964896451512074778541302119728869400345083699981422204549258821918009230657795483
Sun Mar 20 21:03:43 2022  elapsed time 00:09:19 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.300).
Factorization parameters were as follows:
#
# N = 755x10^164-8 = 838(164)
#
n: 32280583341698841745607377164332047436782838983584645531090616674450355142176661377209683226049928870847764040054160904626567900494190613353
m: 500000000000000000000000000000000
deg: 5
c5: 302
c0: -1
skew: 0.32
# Murphy_E = 3.455e-10
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1769721 hash collisions in 15906182 relations (14759550 unique)
Msieve: matrix is 518666 x 518895 (174.2 MB)

Sieving start time : 2022/03/20 20:00:35
Sieving end time  : 2022/03/20 20:53:53

Total sieving time: 0hrs 53min 18secs.

Total relation processing time: 0hrs 3min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 57sec.

Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10169-89

c161

name 名前Ignacio Santos
date 日付March 19, 2022 18:56:50 UTC 2022 年 3 月 20 日 (日) 3 時 56 分 50 秒 (日本時間)
composite number 合成数
70964246373208717551085993390737263051530886654958775884993607002674322232568429614223672097834260207713174011502672933889932231744918766692547934509746178577833<161>
prime factors 素因数
191509294207005512859681042209263601041<39>
370552492854484173109166192163989838577174385371694215766015786689455916036257426554771283565261743353177241028693436572313<123>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:987742411
Step 1 took 7188ms
Step 2 took 3656ms
********** Factor found in step 2: 191509294207005512859681042209263601041
Found prime factor of 39 digits: 191509294207005512859681042209263601041
Prime cofactor 370552492854484173109166192163989838577174385371694215766015786689455916036257426554771283565261743353177241028693436572313 has 123 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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10174-89

c136

name 名前Bob Backstrom
date 日付June 11, 2022 19:35:49 UTC 2022 年 6 月 12 日 (日) 4 時 35 分 49 秒 (日本時間)
composite number 合成数
6661665291374378314425870647991507156647131667070568477389788545780072076454745609674076801151073706640664654052379802867469283035074659<136>
prime factors 素因数
57246729304793504942542666430557802250233473<44>
116367613875480735668192264239730044342899100719046468143538201853796551798537165582128966883<93>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 6661665291374378314425870647991507156647131667070568477389788545780072076454745609674076801151073706640664654052379802867469283035074659 (136 digits)
Using B1=20410000, B2=70272629710, polynomial Dickson(12), sigma=1:2267759378
Step 1 took 34445ms
Step 2 took 12458ms
********** Factor found in step 2: 57246729304793504942542666430557802250233473
Found prime factor of 44 digits: 57246729304793504942542666430557802250233473
Prime cofactor 116367613875480735668192264239730044342899100719046468143538201853796551798537165582128966883 has 93 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 20, 2022 16:21:06 UTC 2022 年 3 月 21 日 (月) 1 時 21 分 6 秒 (日本時間)

755×10176-89

c154

name 名前Ignacio Santos
date 日付March 21, 2022 17:17:37 UTC 2022 年 3 月 22 日 (火) 2 時 17 分 37 秒 (日本時間)
composite number 合成数
3012710653318372256220714604809229121527114091063252423839402253423315200707225370478795049289205408099004299691578820507545535348783437357570272319034931<154>
prime factors 素因数
19534732422653510679953052315777759462919<41>
154223287431604303281441274162895365188511633845647110518516426825410343962498481156204705933162732814301721740149<114>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3027832167
Step 1 took 5891ms
Step 2 took 3578ms
********** Factor found in step 2: 19534732422653510679953052315777759462919
Found prime factor of 41 digits: 19534732422653510679953052315777759462919
Prime cofactor 154223287431604303281441274162895365188511633845647110518516426825410343962498481156204705933162732814301721740149 has 114 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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10178-89

c139

name 名前Ignacio Santos
date 日付March 22, 2022 13:35:58 UTC 2022 年 3 月 22 日 (火) 22 時 35 分 58 秒 (日本時間)
composite number 合成数
4787302925805295561698111322009370630688676154737469861973019943192430437102976387060741685422347534584943583039237757124510388426066102169<139>
prime factors 素因数
4578282580076886752046663719510421395147<40>
1045654749804652417113026872888867557847712248807109535850442223716984572318873549811890281639635627<100>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2126680048
Step 1 took 5891ms
Step 2 took 3344ms
********** Factor found in step 2: 4578282580076886752046663719510421395147
Found prime factor of 40 digits: 4578282580076886752046663719510421395147
Prime cofactor 1045654749804652417113026872888867557847712248807109535850442223716984572318873549811890281639635627 has 100 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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10179-89

c158

name 名前Bob Backstrom
date 日付March 24, 2022 05:16:18 UTC 2022 年 3 月 24 日 (木) 14 時 16 分 18 秒 (日本時間)
composite number 合成数
18164840149119856572076828114244566614813423338949708820736208244568828162947147396175504108566045319600049844417355212691155462069735521624644973404372274877<158>
prime factors 素因数
5789699616650648837769347941567670416070381981812743402317220578839<67>
3137440860814165651943561676417110882735744881916089210038368821908545858462848507720903243<91>
factorization results 素因数分解の結果
Number: n
N=18164840149119856572076828114244566614813423338949708820736208244568828162947147396175504108566045319600049844417355212691155462069735521624644973404372274877  ( 158 digits)
SNFS difficulty: 180 digits.
Divisors found:

Thu Mar 24 16:11:41 2022  p67 factor: 5789699616650648837769347941567670416070381981812743402317220578839
Thu Mar 24 16:11:41 2022  p91 factor: 3137440860814165651943561676417110882735744881916089210038368821908545858462848507720903243
Thu Mar 24 16:11:41 2022  elapsed time 00:19:52 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 755x10^179-8 = 838(179)
#
n: 18164840149119856572076828114244566614813423338949708820736208244568828162947147396175504108566045319600049844417355212691155462069735521624644973404372274877
m: 500000000000000000000000000000000000
deg: 5
c5: 302
c0: -1
skew: 0.32
# Murphy_E = 8.712e-11
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3554806 hash collisions in 30871772 relations (29164292 unique)
Msieve: matrix is 876357 x 876584 (296.6 MB)

Sieving start time : 2022/03/24 12:19:43
Sieving end time  : 2022/03/24 15:50:57

Total sieving time: 3hrs 31min 14secs.

Total relation processing time: 0hrs 11min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 54sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 22, 2022 13:45:01 UTC 2022 年 3 月 22 日 (火) 22 時 45 分 1 秒 (日本時間)

755×10180-89

c177

name 名前Bob Backstrom
date 日付March 24, 2022 15:49:28 UTC 2022 年 3 月 25 日 (金) 0 時 49 分 28 秒 (日本時間)
composite number 合成数
781554081472095931364024082217419028926817553187084378856011858918618999113893650675345540069397861750846769852508840360073869800336223530678326832459649035634725431252225617583<177>
prime factors 素因数
13671683933397736497363208888881750485280273373855673117171<59>
57165897432933214047146650865953129850695037181594256600834557244184377425813476709026692499980771995082003883145657173<119>
factorization results 素因数分解の結果
Number: n
N=781554081472095931364024082217419028926817553187084378856011858918618999113893650675345540069397861750846769852508840360073869800336223530678326832459649035634725431252225617583  ( 177 digits)
SNFS difficulty: 182 digits.
Divisors found:

Fri Mar 25 02:45:48 2022  p59 factor: 13671683933397736497363208888881750485280273373855673117171
Fri Mar 25 02:45:48 2022  p119 factor: 57165897432933214047146650865953129850695037181594256600834557244184377425813476709026692499980771995082003883145657173
Fri Mar 25 02:45:48 2022  elapsed time 00:21:48 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 755x10^180-8 = 838(180)
#
n: 781554081472095931364024082217419028926817553187084378856011858918618999113893650675345540069397861750846769852508840360073869800336223530678326832459649035634725431252225617583
m: 1000000000000000000000000000000000000
deg: 5
c5: 755
c0: -8
skew: 0.40
# Murphy_E = 7.441e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3502033 hash collisions in 30659559 relations (28997410 unique)
Msieve: matrix is 895632 x 895859 (305.2 MB)

Sieving start time : 2022/03/24 22:59:28
Sieving end time  : 2022/03/25 02:23:05

Total sieving time: 3hrs 23min 37secs.
Total relation processing time: 0hrs 12min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 54sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 23, 2022 15:05:10 UTC 2022 年 3 月 24 日 (木) 0 時 5 分 10 秒 (日本時間)

755×10181-89

c114

name 名前Eric Jeancolas
date 日付March 17, 2022 20:16:03 UTC 2022 年 3 月 18 日 (金) 5 時 16 分 3 秒 (日本時間)
composite number 合成数
179785271955230027610952431645937755247207216854033319346422293025493267270082903626927395575290614445205943024807<114>
prime factors 素因数
67878349324214931762243754252437101999093<41>
2648639422513084076014933337081861082340313735372671974173189430244272299<73>
factorization results 素因数分解の結果
179785271955230027610952431645937755247207216854033319346422293025493267270082903626927395575290614445205943024807=67878349324214931762243754252437101999093$*2648639422513084076014933337081861082340313735372671974173189430244272299

cado polynomial
n: 179785271955230027610952431645937755247207216854033319346422293025493267270082903626927395575290614445205943024807
skew: 28912.105
c0: 223719830886626580626074136
c1: 4822551572370361908970
c2: -906259210214294355
c3: -3488943470445
c4: 244367714
c5: 11640
Y0: -7905351233795049726025
Y1: 195445608799399
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.224e-06
# f(x) = 11640*x^5+244367714*x^4-3488943470445*x^3-906259210214294355*x^2+4822551572370361908970*x+223719830886626580626074136
# g(x) = 195445608799399*x-7905351233795049726025

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 67878349324214931762243754252437101999093 2648639422513084076014933337081861082340313735372671974173189430244272299
Info:Square Root: Total cpu/real time for sqrt: 124.98/37.6068
Info:Filtering - Singleton removal: Total cpu/real time for purge: 87.74/101.226
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6917566
Info:Lattice Sieving: Average J: 1902.14 for 122169 special-q, max bucket fill -bkmult 1.0,1s:1.251590
Info:Lattice Sieving: Total time: 14152s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.21/1.12107
Info:Linear Algebra: Total cpu/real time for bwc: 2306.88/594.65
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1422.21, WCT time 363.75, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13184 iterations)
Info:Linear Algebra: Lingen CPU time 64.84, WCT time 16.5
Info:Linear Algebra: Mksol: CPU time 784.7,  WCT time 200.3, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6656 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.67/16.8322
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.12/29.3886
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 28.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 312.4
Info:Polynomial Selection (root optimized): Rootsieve time: 311.31
Info:Filtering - Merging: Merged matrix has 419769 rows and total weight 65175024 (155.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 66.16/19.7338
Info:Filtering - Merging: Total cpu/real time for replay: 14.16/11.5239
Info:Quadratic Characters: Total cpu/real time for characters: 15.29/5.95025
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21844/33.300/40.341/45.400/1.065
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16942/32.310/35.704/40.800/0.824
Info:Polynomial Selection (size optimized): Total time: 1798.47
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 114.38/122.508
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 90.3s
Info:Square Root: Total cpu/real time for sqrt: 124.98/37.6068
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 30849.1/8495.51
Info:root: Cleaning up computation data in /tmp/cado.vte5w0wa
67878349324214931762243754252437101999093 2648639422513084076014933337081861082340313735372671974173189430244272299
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10183-89

c106

name 名前Eric Jeancolas
date 日付March 17, 2022 07:53:21 UTC 2022 年 3 月 17 日 (木) 16 時 53 分 21 秒 (日本時間)
composite number 合成数
3805825262941940912712276575361560571044178343186387910368428293141350801450841236475577846239355676543361<106>
prime factors 素因数
15527990203204992088796949433729<32>
84544025081959449616917942866982493<35>
2899016424009476958359269934314913626613<40>
factorization results 素因数分解の結果
3805825262941940912712276575361560571044178343186387910368428293141350801450841236475577846239355676543361=15527990203204992088796949433729*84544025081959449616917942866982493*2899016424009476958359269934314913626613

cado polynomial
n: 3805825262941940912712276575361560571044178343186387910368428293141350801450841236475577846239355676543361
skew: 9606.251
c0: -2263126587183550148208260
c1: 328824740460861393114
c2: -51940285978619583
c3: -9309476238515
c4: 462156624
c5: 43200
Y0: -275308368020989387241
Y1: 68011317847327
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.142e-06
# f(x) = 43200*x^5+462156624*x^4-9309476238515*x^3-51940285978619583*x^2+328824740460861393114*x-2263126587183550148208260
# g(x) = 68011317847327*x-275308368020989387241

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

cado log (extracts)
Info:Square Root: Factors: 15527990203204992088796949433729 2899016424009476958359269934314913626613 84544025081959449616917942866982493
Info:Square Root: Total cpu/real time for sqrt: 207.71/60.5021
Info:Filtering - Singleton removal: Total cpu/real time for purge: 30.74/36.107
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4798686
Info:Lattice Sieving: Average J: 1909.52 for 46983 special-q, max bucket fill -bkmult 1.0,1s:1.247630
Info:Lattice Sieving: Total time: 6694.23s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.52/1.25999
Info:Linear Algebra: Total cpu/real time for bwc: 510.12/133.48
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 298.68, WCT time 77.0, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6784 iterations)
Info:Linear Algebra: Lingen CPU time 28.87, WCT time 7.38
Info:Linear Algebra: Mksol: CPU time 167.38,  WCT time 43.16, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3328 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.91/40.7552
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.41/19.1705
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 171.69
Info:Polynomial Selection (root optimized): Rootsieve time: 171.06
Info:Filtering - Merging: Merged matrix has 237074 rows and total weight 34583805 (145.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 27.53/8.43874
Info:Filtering - Merging: Total cpu/real time for replay: 6.67/5.32947
Info:Quadratic Characters: Total cpu/real time for characters: 7.82/2.99349
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9872/29.860/37.357/42.540/1.068
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7506/29.110/33.154/37.860/0.887
Info:Polynomial Selection (size optimized): Total time: 496.26
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 53.77/51.3735
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 40.4s
Info:Square Root: Total cpu/real time for sqrt: 207.71/60.5021
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 9678.46/4072.03
Info:root: Cleaning up computation data in /tmp/cado.36zea0oa
15527990203204992088796949433729 2899016424009476958359269934314913626613 84544025081959449616917942866982493
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10184-89

c156

name 名前Bob Backstrom
date 日付March 27, 2022 18:01:50 UTC 2022 年 3 月 28 日 (月) 3 時 1 分 50 秒 (日本時間)
composite number 合成数
202791199457916144627596359706885174163855232907383779267112789553475913795143855780386893376307879785425573211185178575592012033159149041212575698168133043<156>
prime factors 素因数
743916765316045861844200159540613213806430277230227465511792367011949058697<75>
272599313408083039617209765694421039851591188474792892184894742911533938494787419<81>
factorization results 素因数分解の結果
Number: n
N=202791199457916144627596359706885174163855232907383779267112789553475913795143855780386893376307879785425573211185178575592012033159149041212575698168133043  ( 156 digits)
SNFS difficulty: 185 digits.
Divisors found:

Mon Mar 28 04:57:49 2022  p75 factor: 743916765316045861844200159540613213806430277230227465511792367011949058697
Mon Mar 28 04:57:49 2022  p81 factor: 272599313408083039617209765694421039851591188474792892184894742911533938494787419
Mon Mar 28 04:57:49 2022  elapsed time 00:29:37 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 755x10^184-8 = 838(184)
#
n: 202791199457916144627596359706885174163855232907383779267112789553475913795143855780386893376307879785425573211185178575592012033159149041212575698168133043
m: 5000000000000000000000000000000000000
deg: 5
c5: 302
c0: -1
skew: 0.32
# Murphy_E = 5.455e-11
type: snfs
lss: 1
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3898526 hash collisions in 32631142 relations (30688125 unique)
Msieve: matrix is 1059607 x 1059836 (359.7 MB)

Sieving start time : 2022/03/28 00:43:13
Sieving end time  : 2022/03/28 04:27:37

Total sieving time: 3hrs 44min 24secs.

Total relation processing time: 0hrs 17min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 26sec.

Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8800000,8800000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 26, 2022 20:48:18 UTC 2022 年 3 月 27 日 (日) 5 時 48 分 18 秒 (日本時間)

755×10185-89

c172

name 名前Bob Backstrom
date 日付March 27, 2022 08:34:36 UTC 2022 年 3 月 27 日 (日) 17 時 34 分 36 秒 (日本時間)
composite number 合成数
3613229677313431382929454053013382156443258846787125598600542697351986973703501639824219809988582043681759896883448865703125871675120721145094591479892977777060535454691059<172>
prime factors 素因数
212456285408250176096129996272017228077189169623<48>
17006932369029931255825222225464112492769624179661595653909157222268024864880488669588241672343809835933142867449298188734533<125>
factorization results 素因数分解の結果
Number: n
N=3613229677313431382929454053013382156443258846787125598600542697351986973703501639824219809988582043681759896883448865703125871675120721145094591479892977777060535454691059  ( 172 digits)
SNFS difficulty: 187 digits.
Divisors found:

Sun Mar 27 19:30:32 2022  p48 factor: 212456285408250176096129996272017228077189169623
Sun Mar 27 19:30:32 2022  p125 factor: 17006932369029931255825222225464112492769624179661595653909157222268024864880488669588241672343809835933142867449298188734533
Sun Mar 27 19:30:32 2022  elapsed time 00:28:26 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.307).
Factorization parameters were as follows:
#
# N = 755x10^185-8 = 838(185)
#
n: 3613229677313431382929454053013382156443258846787125598600542697351986973703501639824219809988582043681759896883448865703125871675120721145094591479892977777060535454691059
m: 10000000000000000000000000000000000000
deg: 5
c5: 755
c0: -8
skew: 0.40
# Murphy_E = 4.654e-11
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3544251 hash collisions in 30911848 relations (29223265 unique)
Msieve: matrix is 1076799 x 1077025 (370.5 MB)

Sieving start time : 2022/03/27 15:14:31
Sieving end time  : 2022/03/27 19:01:36

Total sieving time: 3hrs 47min 5secs.

Total relation processing time: 0hrs 19min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 21sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10186-89

c156

name 名前Bob Backstrom
date 日付March 28, 2022 18:21:20 UTC 2022 年 3 月 29 日 (火) 3 時 21 分 20 秒 (日本時間)
composite number 合成数
845344251648881506316987908143081832523886592561620338350462532431437483216341981281821312289414763895877764561310646765157437406001892366454412951088327687<156>
prime factors 素因数
671738688683551142505241279546053362392101887268079<51>
1258442108352514550086360289853182431228159541601133836272788472889549962339783312630112102714590532520553<106>
factorization results 素因数分解の結果
Number: n
N=845344251648881506316987908143081832523886592561620338350462532431437483216341981281821312289414763895877764561310646765157437406001892366454412951088327687  ( 156 digits)
SNFS difficulty: 188 digits.
Divisors found:

Tue Mar 29 05:17:15 2022  p51 factor: 671738688683551142505241279546053362392101887268079
Tue Mar 29 05:17:15 2022  p106 factor: 1258442108352514550086360289853182431228159541601133836272788472889549962339783312630112102714590532520553
Tue Mar 29 05:17:15 2022  elapsed time 00:30:58 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.308).
Factorization parameters were as follows:
#
# N = 755x10^186-8 = 838(186)
#
n: 845344251648881506316987908143081832523886592561620338350462532431437483216341981281821312289414763895877764561310646765157437406001892366454412951088327687
m: 10000000000000000000000000000000000000
deg: 5
c5: 3775
c0: -4
skew: 0.25
# Murphy_E = 3.975e-11
type: snfs
lss: 1
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3660228 hash collisions in 30564257 relations (28683015 unique)
Msieve: matrix is 1138066 x 1138292 (393.7 MB)

Sieving start time : 2022/03/29 00:31:26
Sieving end time  : 2022/03/29 04:45:46

Total sieving time: 4hrs 14min 20secs.

Total relation processing time: 0hrs 21min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 29sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9700000,9700000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 27, 2022 15:13:44 UTC 2022 年 3 月 28 日 (月) 0 時 13 分 44 秒 (日本時間)

755×10188-89

c162

name 名前Bob Backstrom
date 日付March 30, 2022 07:56:26 UTC 2022 年 3 月 30 日 (水) 16 時 56 分 26 秒 (日本時間)
composite number 合成数
510276714323329853098243427155225836152002795652554089898188966086298170698744519475282068652930878988795377246071832206582360473934269922853891895273120337837583<162>
prime factors 素因数
212635245198342495068615499504055268593414590648304386937157<60>
2399774853163935833491705477487808127705360318791451283999098849718965170139010056216857458359591658819<103>
factorization results 素因数分解の結果
Number: n
N=510276714323329853098243427155225836152002795652554089898188966086298170698744519475282068652930878988795377246071832206582360473934269922853891895273120337837583  ( 162 digits)
SNFS difficulty: 190 digits.
Divisors found:

Wed Mar 30 18:52:08 2022  p60 factor: 212635245198342495068615499504055268593414590648304386937157
Wed Mar 30 18:52:08 2022  p103 factor: 2399774853163935833491705477487808127705360318791451283999098849718965170139010056216857458359591658819
Wed Mar 30 18:52:08 2022  elapsed time 00:34:26 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 755x10^188-8 = 838(188)
#
n: 510276714323329853098243427155225836152002795652554089898188966086298170698744519475282068652930878988795377246071832206582360473934269922853891895273120337837583
m: 50000000000000000000000000000000000000
deg: 5
c5: 151
c0: -5
skew: 0.51
# Murphy_E = 3.645e-11
type: snfs
lss: 1
rlim: 10500000
alim: 10500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10500000/10500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3634410 hash collisions in 30365893 relations (28494459 unique)
Msieve: matrix is 1188874 x 1189099 (409.6 MB)

Sieving start time : 2022/03/30 13:48:33
Sieving end time  : 2022/03/30 18:17:11

Total sieving time: 4hrs 28min 38secs.

Total relation processing time: 0hrs 23min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 45sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10500000,10500000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 28, 2022 20:43:04 UTC 2022 年 3 月 29 日 (火) 5 時 43 分 4 秒 (日本時間)

755×10193-89

c170

name 名前Bob Backstrom
date 日付April 24, 2022 01:08:18 UTC 2022 年 4 月 24 日 (日) 10 時 8 分 18 秒 (日本時間)
composite number 合成数
16640122474477737502831666350994216418756588446321753289745475778319614898026636254573181792068033047072243224116858757131899067186021932033806776411509901133382887432683<170>
prime factors 素因数
4183238273040847949341342688363437396118793489272284577<55>
3977808909838125342183456596444493080260595639263482922059089930854306771289861086688697736985320517549500947514379<115>
factorization results 素因数分解の結果
Number: n
N=16640122474477737502831666350994216418756588446321753289745475778319614898026636254573181792068033047072243224116858757131899067186021932033806776411509901133382887432683  ( 170 digits)
SNFS difficulty: 195 digits.
Divisors found:

Sun Apr 24 11:03:57 2022  p55 factor: 4183238273040847949341342688363437396118793489272284577
Sun Apr 24 11:03:57 2022  p115 factor: 3977808909838125342183456596444493080260595639263482922059089930854306771289861086688697736985320517549500947514379
Sun Apr 24 11:03:57 2022  elapsed time 00:56:02 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 755x10^193-8 = 838(193)
#
n: 16640122474477737502831666350994216418756588446321753289745475778319614898026636254573181792068033047072243224116858757131899067186021932033806776411509901133382887432683
m: 500000000000000000000000000000000000000
deg: 5
c5: 151
c0: -5
skew: 0.51
# Murphy_E = 2.264e-11
type: snfs
lss: 1
rlim: 12800000
alim: 12800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12800000/12800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3791844 hash collisions in 30508913 relations (28445556 unique)
Msieve: matrix is 1520554 x 1520779 (526.1 MB)

Sieving start time : 2022/04/24 03:56:41
Sieving end time  : 2022/04/24 10:07:18

Total sieving time: 6hrs 10min 37secs.

Total relation processing time: 0hrs 44min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 54sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12800000,12800000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 5, 2022 19:21:18 UTC 2022 年 4 月 6 日 (水) 4 時 21 分 18 秒 (日本時間)

755×10194-89

c186

name 名前Bob Backstrom
date 日付April 7, 2022 08:35:30 UTC 2022 年 4 月 7 日 (木) 17 時 35 分 30 秒 (日本時間)
composite number 合成数
183433958241566681268493716794470125875967635405633831414544653603766034803729402069461185310188036917528496405499166321192883544188059925423926882076001783883358350577462167826356471751<186>
prime factors 素因数
61178213249992155092766126124785179046388308490968365583599134674522170573352230789534583509<92>
2998354291453423626747786010815913553399472281635519925779460779397438040622775268679142596139<94>
factorization results 素因数分解の結果
Number: n
N=183433958241566681268493716794470125875967635405633831414544653603766034803729402069461185310188036917528496405499166321192883544188059925423926882076001783883358350577462167826356471751  ( 186 digits)
SNFS difficulty: 195 digits.
Divisors found:

Thu Apr  7 18:30:43 2022  p92 factor: 61178213249992155092766126124785179046388308490968365583599134674522170573352230789534583509
Thu Apr  7 18:30:43 2022  p94 factor: 2998354291453423626747786010815913553399472281635519925779460779397438040622775268679142596139
Thu Apr  7 18:30:43 2022  elapsed time 01:08:37 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 755x10^194-8 = 838(194)
#
n: 183433958241566681268493716794470125875967635405633831414544653603766034803729402069461185310188036917528496405499166321192883544188059925423926882076001783883358350577462167826356471751
m: 500000000000000000000000000000000000000
deg: 5
c5: 302
c0: -1
skew: 0.32
# Murphy_E = 2.111e-11
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3939705 hash collisions in 30301981 relations (28021603 unique)
Msieve: matrix is 1624476 x 1624703 (563.2 MB)

Sieving start time : 2022/04/07 10:46:21
Sieving end time  : 2022/04/07 17:21:34

Total sieving time: 6hrs 35min 13secs.

Total relation processing time: 0hrs 53min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 25sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12900000,12900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118659] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154096] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798228)
[    0.152007] smpboot: Total of 16 processors activated (102385.82 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 5, 2022 19:22:04 UTC 2022 年 4 月 6 日 (水) 4 時 22 分 4 秒 (日本時間)

755×10196-89

c193

name 名前Bob Backstrom
date 日付April 11, 2022 03:15:36 UTC 2022 年 4 月 11 日 (月) 12 時 15 分 36 秒 (日本時間)
composite number 合成数
1602621251564413062785393943407728922240392338663800203437378476732911175300868259863231665588346672236571519785898291499611974616177516943209046340589492917899942093367228242134632072123475281<193>
prime factors 素因数
1391343897656801363450468453764800736773605082163<49>
951869405176364442658090207125864419719162284349261548367229<60>
1210093816720802825019789606752520914585037510936870498668270197982961737500360336903<85>
factorization results 素因数分解の結果
Number: n
N=1602621251564413062785393943407728922240392338663800203437378476732911175300868259863231665588346672236571519785898291499611974616177516943209046340589492917899942093367228242134632072123475281  ( 193 digits)
SNFS difficulty: 198 digits.
Divisors found:

Mon Apr 11 13:02:32 2022  found factor: 951869405176364442658090207125864419719162284349261548367229
Mon Apr 11 13:05:06 2022  p49 factor: 1391343897656801363450468453764800736773605082163
Mon Apr 11 13:05:06 2022  p60 factor: 951869405176364442658090207125864419719162284349261548367229
Mon Apr 11 13:05:06 2022  p85 factor: 1210093816720802825019789606752520914585037510936870498668270197982961737500360336903
Mon Apr 11 13:05:06 2022  elapsed time 01:17:17 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 755x10^196-8 = 838(196)
#
n: 1602621251564413062785393943407728922240392338663800203437378476732911175300868259863231665588346672236571519785898291499611974616177516943209046340589492917899942093367228242134632072123475281
m: 1000000000000000000000000000000000000000
deg: 5
c5: 3775
c0: -4
skew: 0.25
# Murphy_E = 1.534e-11
type: snfs
lss: 1
rlim: 14300000
alim: 14300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14300000/14300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4124026 hash collisions in 30648134 relations (28162110 unique)
Msieve: matrix is 1756145 x 1756370 (610.8 MB)

Sieving start time : 2022/04/11 03:40:52
Sieving end time  : 2022/04/11 11:47:14

Total sieving time: 8hrs 6min 22secs.

Total relation processing time: 1hrs 3min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 10sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14300000,14300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118659] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154096] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798228)
[    0.152007] smpboot: Total of 16 processors activated (102385.82 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10197-89

c190

name 名前Bob Backstrom
date 日付April 13, 2022 13:52:02 UTC 2022 年 4 月 13 日 (水) 22 時 52 分 2 秒 (日本時間)
composite number 合成数
6223295291758512036848491796634806302823961008750646892175056528276557173445497642298231780367643244891434714197130452158034814980685829139470297490191728883743999176387175306590996987817593<190>
prime factors 素因数
4460018669966793388221946371984058093664843024248037883700272358081797299<73>
1395351847664989022108217522965148683492838966042165548994585233690032232364889924168217111941480869379002370438313507<118>
factorization results 素因数分解の結果
Number: n
N=6223295291758512036848491796634806302823961008750646892175056528276557173445497642298231780367643244891434714197130452158034814980685829139470297490191728883743999176387175306590996987817593  ( 190 digits)
SNFS difficulty: 199 digits.
Divisors found:

Wed Apr 13 23:47:08 2022  p73 factor: 4460018669966793388221946371984058093664843024248037883700272358081797299
Wed Apr 13 23:47:08 2022  p118 factor: 1395351847664989022108217522965148683492838966042165548994585233690032232364889924168217111941480869379002370438313507
Wed Apr 13 23:47:08 2022  elapsed time 01:12:26 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 755x10^197-8 = 838(197)
#
n: 6223295291758512036848491796634806302823961008750646892175056528276557173445497642298231780367643244891434714197130452158034814980685829139470297490191728883743999176387175306590996987817593
m: 1000000000000000000000000000000000000000
deg: 5
c5: 18875
c0: -2
skew: 0.16
# Murphy_E = 1.493e-11
type: snfs
lss: 1
rlim: 14700000
alim: 14700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14700000/14700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3836023 hash collisions in 29727415 relations (27513368 unique)
Msieve: matrix is 1750352 x 1750579 (610.3 MB)

Sieving start time : 2022/04/13 15:29:39
Sieving end time  : 2022/04/13 22:34:11

Total sieving time: 7hrs 4min 32secs.

Total relation processing time: 0hrs 58min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 30sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14700000,14700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 10, 2022 17:49:58 UTC 2022 年 4 月 11 日 (月) 2 時 49 分 58 秒 (日本時間)

755×10200-89

c176

name 名前Dmitry Domanov
date 日付April 25, 2022 18:36:30 UTC 2022 年 4 月 26 日 (火) 3 時 36 分 30 秒 (日本時間)
composite number 合成数
16012783321009855465647507765910240331004476233214049680762772747131289494158575038415733981634911942915793276724090385620788774434170710039784689132430090713819389664091103909<176>
prime factors 素因数
237788248379389068845988437452200397<36>
67340515900775718076882124904544793860796227921884723557668885932005412768374461311078658493523218216753630097757887537889269384639942538297<140>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3503193008
Step 1 took 8276ms
Step 2 took 3168ms
********** Factor found in step 2: 237788248379389068845988437452200397
Found probable prime factor of 36 digits: 237788248379389068845988437452200397
Probable prime cofactor 67340515900775718076882124904544793860796227921884723557668885932005412768374461311078658493523218216753630097757887537889269384639942538297 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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovApril 25, 2022 16:54:40 UTC 2022 年 4 月 26 日 (火) 1 時 54 分 40 秒 (日本時間)

755×10201-89

c196

name 名前Bob Backstrom
date 日付May 24, 2022 16:33:47 UTC 2022 年 5 月 25 日 (水) 1 時 33 分 47 秒 (日本時間)
composite number 合成数
1584093954404245301300377062198687495701964946229011258657188858392037966959635506821020445881786256402530098918128032155151810081007753323731248167171822688968896753716049425611308780858968505493<196>
prime factors 素因数
199544093072166310279026466112948086974374417513133277<54>
7938566008222294425826348036644671095942916143568535747873191190262565539253828964488106302484408392320654223749775703586925027878864551178009<142>
factorization results 素因数分解の結果
Number: n
N=1584093954404245301300377062198687495701964946229011258657188858392037966959635506821020445881786256402530098918128032155151810081007753323731248167171822688968896753716049425611308780858968505493  ( 196 digits)
SNFS difficulty: 203 digits.
Divisors found:

Wed May 25 02:22:18 2022  p54 factor: 199544093072166310279026466112948086974374417513133277
Wed May 25 02:22:18 2022  p142 factor: 7938566008222294425826348036644671095942916143568535747873191190262565539253828964488106302484408392320654223749775703586925027878864551178009
Wed May 25 02:22:18 2022  elapsed time 01:52:58 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 755x10^201-8 = 838(201)
#
n: 1584093954404245301300377062198687495701964946229011258657188858392037966959635506821020445881786256402530098918128032155151810081007753323731248167171822688968896753716049425611308780858968505493
m: 10000000000000000000000000000000000000000
deg: 5
c5: 3775
c0: -4
skew: 0.25
# Murphy_E = 9.469e-12
type: snfs
lss: 1
rlim: 17300000
alim: 17300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17300000/17300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7178628 hash collisions in 55080143 relations (50112219 unique)
Msieve: matrix is 2142682 x 2142907 (745.7 MB)

Sieving start time : 2022/05/24 12:01:16
Sieving end time  : 2022/05/25 00:28:27

Total sieving time: 12hrs 27min 11secs.

Total relation processing time: 1hrs 29min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 45sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17300000,17300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 07:02:52 UTC 2022 年 3 月 26 日 (土) 16 時 2 分 52 秒 (日本時間)
4511e61200 / 4213NFS@home + Dmitry DomanovApril 18, 2022 22:25:49 UTC 2022 年 4 月 19 日 (火) 7 時 25 分 49 秒 (日本時間)

755×10202-89

c191

name 名前Bob Backstrom
date 日付August 20, 2023 03:08:58 UTC 2023 年 8 月 20 日 (日) 12 時 8 分 58 秒 (日本時間)
composite number 合成数
52732850519195520682057939270487525137479257323196218839378386874584156193633678529222658162877755015185194281772973029244753915663930862057903777712569058082977280840696939143936260156241529<191>
prime factors 素因数
5682494711574344627893924336109456101653092365927782662532708056031608519694397<79>
9279876743534319380537869239212061572349350092685248473200862409272962462946795025148136379121494375833351339757<112>
factorization results 素因数分解の結果
Number: n
N=52732850519195520682057939270487525137479257323196218839378386874584156193633678529222658162877755015185194281772973029244753915663930862057903777712569058082977280840696939143936260156241529  ( 191 digits)
SNFS difficulty: 204 digits.
Divisors found:

Sun Aug 20 12:42:47 2023  prp79 factor: 5682494711574344627893924336109456101653092365927782662532708056031608519694397
Sun Aug 20 12:42:47 2023  prp112 factor: 9279876743534319380537869239212061572349350092685248473200862409272962462946795025148136379121494375833351339757
Sun Aug 20 12:42:47 2023  elapsed time 02:39:07 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.112).
Factorization parameters were as follows:
#
# N = 755x10^202-8 = 838(202)
#
n: 52732850519195520682057939270487525137479257323196218839378386874584156193633678529222658162877755015185194281772973029244753915663930862057903777712569058082977280840696939143936260156241529
m: 10000000000000000000000000000000000000000
deg: 5
c5: 18875
c0: -2
skew: 0.16
# Murphy_E = 9.212e-12
type: snfs
lss: 1
rlim: 17800000
alim: 17800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17800000/17800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3046052 hash collisions in 17468290 relations (15151490 unique)
Msieve: matrix is 2253990 x 2254215 (637.1 MB)

Sieving start time: 2023/08/19 20:22:39
Sieving end time  : 2023/08/20 10:03:13

Total sieving time: 13hrs 40min 34secs.

Total relation processing time: 2hrs 31min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 13sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17800000,17800000,27,27,56,56,2.6,2.6,100000
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 07:03:02 UTC 2022 年 3 月 26 日 (土) 16 時 3 分 2 秒 (日本時間)
4511e61200 / 4213NFS@home + Dmitry DomanovApril 18, 2022 22:25:57 UTC 2022 年 4 月 19 日 (火) 7 時 25 分 57 秒 (日本時間)

755×10203-89

c190

name 名前Bob Backstrom
date 日付November 1, 2023 03:06:21 UTC 2023 年 11 月 1 日 (水) 12 時 6 分 21 秒 (日本時間)
composite number 合成数
2642513829807499490676630994508205778792741941228952843184246320461672996134211481948211455246532295392817131194297629162260911576299490695969472901679310396372057235077617425829106392065371<190>
prime factors 素因数
132505413335646677923870221725113829667764260167943869084667<60>
19942685836644298001075276477608443126121201507091740882466071977585661709914694456923785158891968953307878987002003984044080494113<131>
factorization results 素因数分解の結果
Number: n
N=2642513829807499490676630994508205778792741941228952843184246320461672996134211481948211455246532295392817131194297629162260911576299490695969472901679310396372057235077617425829106392065371  ( 190 digits)
SNFS difficulty: 205 digits.
Divisors found:

Wed Nov  1 14:01:14 2023  prp60 factor: 132505413335646677923870221725113829667764260167943869084667
Wed Nov  1 14:01:14 2023  prp131 factor: 19942685836644298001075276477608443126121201507091740882466071977585661709914694456923785158891968953307878987002003984044080494113
Wed Nov  1 14:01:14 2023  elapsed time 02:49:06 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.105).
Factorization parameters were as follows:
#
# N = 755x10^203-8 = 838(203)
#
n: 2642513829807499490676630994508205778792741941228952843184246320461672996134211481948211455246532295392817131194297629162260911576299490695969472901679310396372057235077617425829106392065371
m: 50000000000000000000000000000000000000000
deg: 5
c5: 151
c0: -5
skew: 0.51
# Murphy_E = 8.625e-12
type: snfs
lss: 1
rlim: 18700000
alim: 18700000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18700000/18700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3629411 hash collisions in 20158648 relations (16922305 unique)
Msieve: matrix is 2305454 x 2305679 (646.6 MB)

Sieving start time: 2023/10/31 13:37:27
Sieving end time  : 2023/11/01 11:11:44

Total sieving time: 21hrs 34min 17secs.

Total relation processing time: 2hrs 38min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 7sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18700000,18700000,27,27,56,56,2.6,2.6,100000
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 07:03:10 UTC 2022 年 3 月 26 日 (土) 16 時 3 分 10 秒 (日本時間)
4511e61200 / 4213NFS@home + Dmitry DomanovApril 18, 2022 22:26:05 UTC 2022 年 4 月 19 日 (火) 7 時 26 分 5 秒 (日本時間)

755×10204-89

c201

name 名前Bob Backstrom
date 日付December 30, 2023 07:31:09 UTC 2023 年 12 月 30 日 (土) 16 時 31 分 9 秒 (日本時間)
composite number 合成数
825873128385532890534071915500599441687887777515248571403568647011980082784209743333945901481539821305120194621651658747035607711357888565102867694030960944405065063488313074829574790195409239277869663<201>
prime factors 素因数
2679464182601504248824598077191959025569274119<46>
204641900327530139841304643789826508250473688796132245517283<60>
1506158993944559309328851773442959624897952338273962899136572557912627404575216012665440108212419<97>
factorization results 素因数分解の結果
Number: n
N=308223238716215577633644176505330547913087181997250706032772457110726074437965352794846823308105664734864082187258527930649152294102406275084930847099737577  ( 156 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sat Dec 30 18:26:03 2023  prp60 factor: 204641900327530139841304643789826508250473688796132245517283
Sat Dec 30 18:26:03 2023  prp97 factor: 1506158993944559309328851773442959624897952338273962899136572557912627404575216012665440108212419
Sat Dec 30 18:26:03 2023  elapsed time 03:38:23 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.082).
Factorization parameters were as follows:
#
# N = 755x10^204-8 = 838(204)
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 825873128385532890534071915500599441687887777515248571403568647011980082784209743333945901481539821305120194621651658747035607711357888565102867694030960944405065063488313074829574790195409239277869663 (201 digits)
# Using B1=53530000, B2=288595146856, polynomial Dickson(12), sigma=1:3743742971
# Step 1 took 171413ms
# Step 2 took 51022ms
# ********** Factor found in step 2: 2679464182601504248824598077191959025569274119
# Found prime factor of 46 digits: 2679464182601504248824598077191959025569274119
# Composite cofactor 308223238716215577633644176505330547913087181997250706032772457110726074437965352794846823308105664734864082187258527930649152294102406275084930847099737577 has 156 digits
#
n: 308223238716215577633644176505330547913087181997250706032772457110726074437965352794846823308105664734864082187258527930649152294102406275084930847099737577
m: 50000000000000000000000000000000000000000
deg: 5
c5: 302
c0: -1
skew: 0.32
# Murphy_E = 8.037e-12
type: snfs
lss: 1
rlim: 19000000
alim: 19000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19000000/19000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 56700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3645787 hash collisions in 19147827 relations (15759600 unique)
Msieve: matrix is 2574214 x 2574440 (722.6 MB)

Sieving start time: 2023/12/29 16:17:32
Sieving end time  : 2023/12/30 14:47:14

Total sieving time: 22hrs 29min 42secs.

Total relation processing time: 3hrs 27min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 2sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,19000000,19000000,27,27,56,56,2.6,2.6,100000
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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 07:03:18 UTC 2022 年 3 月 26 日 (土) 16 時 3 分 18 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 7, 2022 08:30:55 UTC 2022 年 5 月 7 日 (土) 17 時 30 分 55 秒 (日本時間)

755×10205-89

c205

name 名前Ignacio Santos
date 日付April 21, 2022 09:30:49 UTC 2022 年 4 月 21 日 (木) 18 時 30 分 49 秒 (日本時間)
composite number 合成数
1263386880856760374832663989290495314591700133868808567603748326639892904953145917001338688085676037483266398929049531459170013386880856760374832663989290495314591700133868808567603748326639892904953145917<205>
prime factors 素因数
24245525242909595883833304027686633341567<41>
composite cofactor 合成数の残り
52108043368795545479888691290706178365518318878071334248113489291668150537040100581537155860740005169272768242098715288395270986994861815962473790373670414981578051<164>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2513949236
Step 1 took 36547ms
Step 2 took 14813ms
********** Factor found in step 2: 24245525242909595883833304027686633341567
Found prime factor of 41 digits: 24245525242909595883833304027686633341567
Composite cofactor 52108043368795545479888691290706178365518318878071334248113489291668150537040100581537155860740005169272768242098715288395270986994861815962473790373670414981578051 has 164 digits
 
software ソフトウェア
GMP-ECM

c164

name 名前Bob Backstrom
date 日付May 24, 2022 22:39:20 UTC 2022 年 5 月 25 日 (水) 7 時 39 分 20 秒 (日本時間)
composite number 合成数
52108043368795545479888691290706178365518318878071334248113489291668150537040100581537155860740005169272768242098715288395270986994861815962473790373670414981578051<164>
prime factors 素因数
40124885527077607905108540357723388782003103<44>
1298646530309259173458449306772922768452420368742287683213515982452200992493021856751243799878485857199218457318793905117<121>
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 52108043368795545479888691290706178365518318878071334248113489291668150537040100581537155860740005169272768242098715288395270986994861815962473790373670414981578051 (164 digits)
Using B1=18280000, B2=58560741340, polynomial Dickson(12), sigma=1:543163598
Step 1 took 40153ms
Step 2 took 14976ms
********** Factor found in step 2: 40124885527077607905108540357723388782003103
Found prime factor of 44 digits: 40124885527077607905108540357723388782003103
Prime cofactor 1298646530309259173458449306772922768452420368742287683213515982452200992493021856751243799878485857199218457318793905117 has 121 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 26, 2022 07:03:28 UTC 2022 年 3 月 26 日 (土) 16 時 3 分 28 秒 (日本時間)
2350Ignacio SantosApril 21, 2022 09:25:46 UTC 2022 年 4 月 21 日 (木) 18 時 25 分 46 秒 (日本時間)

755×10206-89

c185

name 名前Bob Backstrom
date 日付September 23, 2024 00:16:16 UTC 2024 年 9 月 23 日 (月) 9 時 16 分 16 秒 (日本時間)
composite number 合成数
31061580931000149210785138426880307721255183081332976450455763325587663445209260535251561922735336275000640690209529244111208699963904460111608893298022694805894651296424709903830831579<185>
prime factors 素因数
1209607897716107991689651221239122322651255302551752527413231061<64>
25679049375957551915411134639002931793027858988179800965386015646579502871794075373469164240591744162770441724525404928239<122>
factorization results 素因数分解の結果
09/21/24 15:27:13 v1.34.5 @ RYZEN-9,
09/21/24 15:27:13 v1.34.5 @ RYZEN-9, ****************************
09/21/24 15:27:13 v1.34.5 @ RYZEN-9, Starting factorization of 75499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999992
09/21/24 15:27:13 v1.34.5 @ RYZEN-9, using pretesting plan: normal
09/21/24 15:27:13 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
09/21/24 15:27:13 v1.34.5 @ RYZEN-9, ****************************
09/21/24 15:27:13 v1.34.5 @ RYZEN-9, div: found prime factor = 2
09/21/24 15:27:13 v1.34.5 @ RYZEN-9, div: found prime factor = 2
09/21/24 15:27:13 v1.34.5 @ RYZEN-9, div: found prime factor = 2
09/21/24 15:27:13 v1.34.5 @ RYZEN-9, div: found prime factor = 3
09/21/24 15:27:13 v1.34.5 @ RYZEN-9, div: found prime factor = 3
09/21/24 15:27:13 v1.34.5 @ RYZEN-9, div: found prime factor = 3
09/21/24 15:27:13 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C207
09/21/24 15:27:13 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C207
09/21/24 15:27:13 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C207
09/21/24 15:27:13 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C207
09/21/24 15:27:13 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
09/21/24 15:27:13 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 63.69
09/21/24 15:27:13 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C207 input, B1=2K, B2=gmp-ecm default
09/21/24 15:27:13 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
09/21/24 15:27:13 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 63.69
09/21/24 15:27:16 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C207 input, B1=11K, B2=gmp-ecm default
09/21/24 15:27:16 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
09/21/24 15:27:16 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 63.69
09/21/24 15:27:21 v1.34.5 @ RYZEN-9, prp23 = 11253034345337886303703 (curve 36 stg2 B1=50000 sigma=2262255938 thread=0)
09/21/24 15:27:21 v1.34.5 @ RYZEN-9, Finished 36 curves using Lenstra ECM method on C207 input, B1=50K, B2=gmp-ecm default
09/21/24 15:27:21 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 21.08
09/21/24 15:27:21 v1.34.5 @ RYZEN-9, scheduled 178 curves at B1=50000 toward target pretesting depth of 56.92
09/21/24 15:27:56 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c209: 75499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999992
09/21/24 15:27:56 v1.34.5 @ RYZEN-9, nfs: input divides 755*10^206 - 8
09/21/24 15:27:56 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 31061580931000149210785138426880307721255183081332976450455763325587663445209260535251561922735336275000640690209529244111208699963904460111608893298022694805894651296424709903830831579
09/21/24 15:27:56 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c185: 31061580931000149210785138426880307721255183081332976450455763325587663445209260535251561922735336275000640690209529244111208699963904460111608893298022694805894651296424709903830831579
09/21/24 15:27:56 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 31061580931000149210785138426880307721255183081332976450455763325587663445209260535251561922735336275000640690209529244111208699963904460111608893298022694805894651296424709903830831579
# 755*10^206-8, difficulty: 209.88, anorm: -1.70e+026, rnorm: 1.98e+047
# scaled difficulty: 213.39, suggest sieving rational side
# size = 1.375e-014, alpha = 0.217, combined = 5.826e-012, rroots = 1
type: snfs
size: 209
skew: 0.2541
c5: 3775
c0: -4
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 31061580931000149210785138426880307721255183081332976450455763325587663445209260535251561922735336275000640690209529244111208699963904460111608893298022694805894651296424709903830831579
# 755*10^206-8, difficulty: 210.08, anorm: -4.68e+026, rnorm: 2.81e+047
# scaled difficulty: 213.55, suggest sieving rational side
# size = 9.358e-015, alpha = -0.707, combined = 4.654e-012, rroots = 1
type: snfs
size: 210
skew: 0.5082
c5: 3775
c0: -128
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 31061580931000149210785138426880307721255183081332976450455763325587663445209260535251561922735336275000640690209529244111208699963904460111608893298022694805894651296424709903830831579
# 755*10^206-8, difficulty: 210.88, anorm: -1.21e+033, rnorm: 2.14e+040
# scaled difficulty: 212.09, suggest sieving rational side
# size = 1.547e-010, alpha = -0.077, combined = 4.546e-012, rroots = 2
type: snfs
size: 210
skew: 0.2175
c6: 18875
c0: -2
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
09/21/24 15:27:58 v1.34.5 @ RYZEN-9, test: fb generation took 1.7657 seconds
09/21/24 15:27:58 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 21400000-21402000
skew: 0.2541
c5: 3775
c0: -4
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
09/21/24 15:31:06 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
09/21/24 15:31:08 v1.34.5 @ RYZEN-9, test: fb generation took 1.7657 seconds
09/21/24 15:31:08 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 0.5082
c5: 3775
c0: -128
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
09/21/24 15:34:21 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
09/21/24 15:34:23 v1.34.5 @ RYZEN-9, test: fb generation took 2.6720 seconds
09/21/24 15:34:23 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the rational side over range 22600000-22602000
skew: 0.2175
c6: 18875
c0: -2
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
09/21/24 15:37:26 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
09/21/24 15:37:26 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 31061580931000149210785138426880307721255183081332976450455763325587663445209260535251561922735336275000640690209529244111208699963904460111608893298022694805894651296424709903830831579
# 755*10^206-8, difficulty: 209.88, anorm: -1.70e+026, rnorm: 1.98e+047
# scaled difficulty: 213.39, suggest sieving rational side
# size = 1.375e-014, alpha = 0.217, combined = 5.826e-012, rroots = 1
type: snfs
size: 209
skew: 0.2541
c5: 3775
c0: -4
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
09/22/24 20:17:49 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/22/24 20:19:55 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22101394
09/22/24 22:06:20 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/22/24 22:08:35 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23316639
09/22/24 23:54:36 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/22/24 23:56:56 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24516563
09/23/24 01:57:15 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/23/24 01:59:41 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 25853928
09/23/24 03:57:35 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/23/24 04:00:07 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 27169187
09/23/24 06:11:20 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/23/24 06:15:53 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
09/23/24 09:55:03 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
09/23/24 10:02:39 v1.34.5 @ RYZEN-9, prp64 = 1209607897716107991689651221239122322651255302551752527413231061
09/23/24 10:02:39 v1.34.5 @ RYZEN-9, prp122 = 25679049375957551915411134639002931793027858988179800965386015646579502871794075373469164240591744162770441724525404928239
09/23/24 10:02:39 v1.34.5 @ RYZEN-9, NFS elapsed time = 153282.9526 seconds.
09/23/24 10:02:39 v1.34.5 @ RYZEN-9,
09/23/24 10:02:39 v1.34.5 @ RYZEN-9,
09/21/24 15:37:26 v1.34.5 @ RYZEN-9, test: test sieving took 569.85 seconds
software ソフトウェア
YAFU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 08:49:51 UTC 2022 年 3 月 26 日 (土) 17 時 49 分 51 秒 (日本時間)
4511e61200 / 4213NFS@home + Dmitry DomanovApril 18, 2022 22:26:14 UTC 2022 年 4 月 19 日 (火) 7 時 26 分 14 秒 (日本時間)

755×10209-89

c174

composite cofactor 合成数の残り
526896897280903023005924729875050966121974926119664803537009471133102358087969768092064612134483885030593020757616446539194874976240858731301185522620896333056460943692759069<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 08:50:03 UTC 2022 年 3 月 26 日 (土) 17 時 50 分 3 秒 (日本時間)
4511e61200 / 4213NFS@home + Dmitry DomanovApril 18, 2022 22:26:23 UTC 2022 年 4 月 19 日 (火) 7 時 26 分 23 秒 (日本時間)

755×10210-89

c195

composite cofactor 合成数の残り
113325535589938799062621401526595403902547397782695318577482697697113920408921321675377072609203667904530135427576396718996285108357072722809594220210528375126302335135551492690536367116460628317<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 08:50:12 UTC 2022 年 3 月 26 日 (土) 17 時 50 分 12 秒 (日本時間)
4511e61200 / 4213NFS@home + Dmitry DomanovApril 18, 2022 22:26:31 UTC 2022 年 4 月 19 日 (火) 7 時 26 分 31 秒 (日本時間)

755×10212-89

c181

composite cofactor 合成数の残り
6529548429352451971631540719694805715584449019678156576121954540323129596306286202688569606607534052091038639518565475564662334968061583035711489200722916005149280857451906286254401<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 08:50:20 UTC 2022 年 3 月 26 日 (土) 17 時 50 分 20 秒 (日本時間)
4511e61200 / 4213NFS@home + Dmitry DomanovApril 18, 2022 22:26:38 UTC 2022 年 4 月 19 日 (火) 7 時 26 分 38 秒 (日本時間)

755×10214-89

c128

name 名前Erik Branger
date 日付March 20, 2022 15:37:32 UTC 2022 年 3 月 21 日 (月) 0 時 37 分 32 秒 (日本時間)
composite number 合成数
41271217891567693833072894701645829747011325438783855391205248525560193482934805337433982811841114462200813577861225811338890917<128>
prime factors 素因数
659614619604805681820636927366326791360616422222527508043<57>
62568682780703802113988905419166221226173997858501950742817701451456719<71>
factorization results 素因数分解の結果
Number: 83888_214
N = 41271217891567693833072894701645829747011325438783855391205248525560193482934805337433982811841114462200813577861225811338890917 (128 digits)
Divisors found:
r1=659614619604805681820636927366326791360616422222527508043 (pp57)
r2=62568682780703802113988905419166221226173997858501950742817701451456719 (pp71)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 45.79 hours.
Factorization parameters were as follows:
n: 41271217891567693833072894701645829747011325438783855391205248525560193482934805337433982811841114462200813577861225811338890917
Y0: -6238398727337404067957074
Y1: 2694003074093
c0: -28484505069090470102578162165515
c1: -275629521042995452094120004
c2: 2312433371808596826031
c3: -64648865982980
c4: -23081997452
c5: 4368
skew: 414990.20 
type: gnfs
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19209807
Relations: 2113644 relations
Pruned matrix : 1190713 x 1190946
Polynomial selection time: 0.00 hours.
Total sieving time: 45.21 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.40 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,6400000,6400000,28,28,55,55,2.5,2.5,100000
total time: 45.79 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 18, 2022 23:14:04 UTC 2022 年 3 月 19 日 (土) 8 時 14 分 4 秒 (日本時間)

755×10215-89

c176

name 名前Dmitry Domanov
date 日付April 20, 2022 05:44:51 UTC 2022 年 4 月 20 日 (水) 14 時 44 分 51 秒 (日本時間)
composite number 合成数
10827418410505430843416454005661244680054291842035936947204460258931939851534099435804605085738628609714725292314334492289376317942992378004312086824093006568539638723399491693<176>
prime factors 素因数
191526393681189410508681821843636750027<39>
56532252304235997498088241416075436429115496101196384594990651258897527932542622292402059453475998725499429433560712737344079452585416359<137>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2849499498
Step 1 took 41844ms
Step 2 took 14568ms
********** Factor found in step 2: 191526393681189410508681821843636750027
Found probable prime factor of 39 digits: 191526393681189410508681821843636750027
Probable prime cofactor 56532252304235997498088241416075436429115496101196384594990651258897527932542622292402059453475998725499429433560712737344079452585416359 has 137 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 08:50:26 UTC 2022 年 3 月 26 日 (土) 17 時 50 分 26 秒 (日本時間)
4511e61200 / 4213NFS@home + Dmitry DomanovApril 18, 2022 22:26:46 UTC 2022 年 4 月 19 日 (火) 7 時 26 分 46 秒 (日本時間)

755×10216-89

c199

composite cofactor 合成数の残り
5326680060557718566762158818742591336469109953208134711851659329756331045478279234355840249380051382044858453765192329245855454439152781440081653185489449693935344335303681237941377728271125502994783<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 08:50:34 UTC 2022 年 3 月 26 日 (土) 17 時 50 分 34 秒 (日本時間)
4511e61200 / 4213NFS@home + Dmitry DomanovApril 18, 2022 22:26:55 UTC 2022 年 4 月 19 日 (火) 7 時 26 分 55 秒 (日本時間)

755×10218-89

c178

composite cofactor 合成数の残り
7759392296040756369023689501762430266934321545785005687733631429303976338704937941625348235697004027495673168186653203255501768196462664056165756019621017952706710043297810839453<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 08:50:42 UTC 2022 年 3 月 26 日 (土) 17 時 50 分 42 秒 (日本時間)
4511e61200 / 4213NFS@home + Dmitry DomanovApril 18, 2022 22:27:04 UTC 2022 年 4 月 19 日 (火) 7 時 27 分 4 秒 (日本時間)

755×10220-89

c165

name 名前Dmitry Domanov
date 日付March 27, 2022 15:11:02 UTC 2022 年 3 月 28 日 (月) 0 時 11 分 2 秒 (日本時間)
composite number 合成数
428382757675753668310319120339645469072995069173415539078788352298867055543404367750333564716187002201183259563753701416733146360476679178475997186547420702026910703<165>
prime factors 素因数
116672462686906412928235737794294747<36>
composite cofactor 合成数の残り
3671669799456705875535382229275249805872367213680010023444016331195704930374716411311497149797190799894217703181735120310369652349<130>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=433018660
Step 1 took 7960ms
Step 2 took 2956ms
********** Factor found in step 2: 116672462686906412928235737794294747
Found probable prime factor of 36 digits: 116672462686906412928235737794294747
Composite cofactor 3671669799456705875535382229275249805872367213680010023444016331195704930374716411311497149797190799894217703181735120310369652349 has 130 digits

c130

name 名前Eric Jeancolas
date 日付April 1, 2022 06:23:52 UTC 2022 年 4 月 1 日 (金) 15 時 23 分 52 秒 (日本時間)
composite number 合成数
3671669799456705875535382229275249805872367213680010023444016331195704930374716411311497149797190799894217703181735120310369652349<130>
prime factors 素因数
793074030554519956286945449416092698566788798973572743<54>
4629668426905193632207150639854459430135212984776482891886778630597682810843<76>
factorization results 素因数分解の結果
3671669799456705875535382229275249805872367213680010023444016331195704930374716411311497149797190799894217703181735120310369652349=793074030554519956286945449416092698566788798973572743*4629668426905193632207150639854459430135212984776482891886778630597682810843

cado polynomial
n: 3671669799456705875535382229275249805872367213680010023444016331195704930374716411311497149797190799894217703181735120310369652349
skew: 157963.015
c0: -2846039377297154187043830128256
c1: 97695254457062975111626526
c2: -278702035408259715525
c3: -9201241728728621
c4: -11797949688
c5: 65520
Y0: -12747939254049471083748491
Y1: 90555500839079329
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.917e-07
# f(x) = 65520*x^5-11797949688*x^4-9201241728728621*x^3-278702035408259715525*x^2+97695254457062975111626526*x-2846039377297154187043830128256
# g(x) = 90555500839079329*x-12747939254049471083748491

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

cado log (extracts)
Info:Square Root: Factors: 4629668426905193632207150639854459430135212984776482891886778630597682810843 793074030554519956286945449416092698566788798973572743
Info:Square Root: Total cpu/real time for sqrt: 668.36/202.429
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 344.5/315.389
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 277.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 215.5/238.442
Info:Linear Algebra: Total cpu/real time for bwc: 45532.8/11683.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 29085.01, WCT time 7429.44, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52480 iterations)
Info:Linear Algebra: Lingen CPU time 327.76, WCT time 83.32
Info:Linear Algebra: Mksol: CPU time 15813.44,  WCT time 4054.46, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26368 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23907357
Info:Lattice Sieving: Average J: 7920.72 for 59417 special-q, max bucket fill -bkmult 1.0,1s:1.072240
Info:Lattice Sieving: Total time: 85491s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.5/10.7254
Info:Generate Free Relations: Total cpu/real time for freerel: 252.41/64.3131
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4996.45
Info:Polynomial Selection (root optimized): Rootsieve time: 4993.99
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 101.93/119.372
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 119.1s
Info:Filtering - Merging: Merged matrix has 1678779 rows and total weight 286715664 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 415.36/117.596
Info:Filtering - Merging: Total cpu/real time for replay: 66.54/56.066
Info:Quadratic Characters: Total cpu/real time for characters: 64.61/26.5413
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38729/38.620/46.257/49.800/0.838
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30781/37.580/41.511/47.070/0.973
Info:Polynomial Selection (size optimized): Total time: 4836.95
Info:Square Root: Total cpu/real time for sqrt: 668.36/202.429
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 218283/58527.3
Info:root: Cleaning up computation data in /tmp/cado.huqyqz77
4629668426905193632207150639854459430135212984776482891886778630597682810843 793074030554519956286945449416092698566788798973572743
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 26, 2022 08:50:50 UTC 2022 年 3 月 26 日 (土) 17 時 50 分 50 秒 (日本時間)
2350Ignacio SantosMarch 28, 2022 20:43:15 UTC 2022 年 3 月 29 日 (火) 5 時 43 分 15 秒 (日本時間)

755×10222-89

c209

composite cofactor 合成数の残り
20671315273671298873931415830920473210277114377142272465785480884211009335536856554210601145768343914959408806117443458194957900888618720271216740540353417345912499334038553149092673848540327935094019468684653<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 08:50:57 UTC 2022 年 3 月 26 日 (土) 17 時 50 分 57 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 7, 2022 08:31:03 UTC 2022 年 5 月 7 日 (土) 17 時 31 分 3 秒 (日本時間)

755×10224-89

c195

composite cofactor 合成数の残り
147385530727986732462562474307106620859255543073882838245043826273124069003197511112286218321392698905822335785347252413179230967935730640319576463682593404393605088899135423004694741748662849263<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 08:51:04 UTC 2022 年 3 月 26 日 (土) 17 時 51 分 4 秒 (日本時間)
4511e61200 / 4213NFS@home + Dmitry DomanovApril 18, 2022 22:35:45 UTC 2022 年 4 月 19 日 (火) 7 時 35 分 45 秒 (日本時間)

755×10225-89

c163

name 名前Dmitry Domanov
date 日付April 20, 2022 09:53:08 UTC 2022 年 4 月 20 日 (水) 18 時 53 分 8 秒 (日本時間)
composite number 合成数
8480452297888765148193529857097664514217823012644833655932113075259054171338059189309170564559808044588037011635978185706146090508506069705380640449303104428949569<163>
prime factors 素因数
107560504939256047162354181176766675977<39>
78843552312050172797061212295663305339013074729130065463091295355541033512040202005884406759644617270422291002712734153957497<125>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4106139983
Step 1 took 23474ms
********** Factor found in step 1: 107560504939256047162354181176766675977
Found prime factor of 39 digits: 107560504939256047162354181176766675977
Prime cofactor 78843552312050172797061212295663305339013074729130065463091295355541033512040202005884406759644617270422291002712734153957497 has 125 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 08:51:12 UTC 2022 年 3 月 26 日 (土) 17 時 51 分 12 秒 (日本時間)
4511e61200 / 4213NFS@home + Dmitry DomanovApril 18, 2022 22:35:54 UTC 2022 年 4 月 19 日 (火) 7 時 35 分 54 秒 (日本時間)

755×10226-89

c215

composite cofactor 合成数の残り
83623610668296609805904238430184408333640057517944190517209963392692255200823330115092001604809614562838637219871948023871441918800351686317140413831487226428506767800652934038052002846482892670154660912498810088023<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 08:51:21 UTC 2022 年 3 月 26 日 (土) 17 時 51 分 21 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 7, 2022 08:31:10 UTC 2022 年 5 月 7 日 (土) 17 時 31 分 10 秒 (日本時間)

755×10227-89

c199

name 名前Dmitry Domanov
date 日付April 19, 2022 04:24:40 UTC 2022 年 4 月 19 日 (火) 13 時 24 分 40 秒 (日本時間)
composite number 合成数
5265618642322093940299845362435707700005178231528732393396403865203443316526343048201478178920047221185715105264061361892056106083750976935049141615627166234828663574292135233611445236737463038589017<199>
prime factors 素因数
1922765806436585398846828510409704172433049<43>
2738564740799471321922419623605927644833156780026821855046513087780150508182447647979031675098816222461274878121437254169420041125189204409366219833863581633<157>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:663857679
Step 1 took 32741ms
Step 2 took 13418ms
********** Factor found in step 2: 1922765806436585398846828510409704172433049
Found prime factor of 43 digits: 1922765806436585398846828510409704172433049
Prime cofactor 2738564740799471321922419623605927644833156780026821855046513087780150508182447647979031675098816222461274878121437254169420041125189204409366219833863581633 has 157 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 08:51:29 UTC 2022 年 3 月 26 日 (土) 17 時 51 分 29 秒 (日本時間)
4511e61200 / 4213NFS@home + Dmitry DomanovApril 18, 2022 22:36:03 UTC 2022 年 4 月 19 日 (火) 7 時 36 分 3 秒 (日本時間)

755×10230-89

c210

name 名前Seth Troisi
date 日付December 6, 2023 19:13:52 UTC 2023 年 12 月 7 日 (木) 4 時 13 分 52 秒 (日本時間)
composite number 合成数
183406918764628869846040649666666075922129772273046046042236662539484806931874445789370240940912492028016636510843907100388867309973079777484851466375919781148817807911409074193051138846424587819164992135734669<210>
prime factors 素因数
123073731738798910399315746616159322986537<42>
1490219855800553118237445602218047576264403996792483604414537017248441193365722799682209273135452011388379551425387226124898633491260112287725108566493525284405114314437<169>
factorization results 素因数分解の結果
vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
WorkUnit(uid=1244,
         n='183406918764628869846040649666666075922129772273046046042236662539484806931874445789370240940912492028016636510843907100388867309973079777484851466375919781148817807911409074193051138846424587819164992135734669',
         params=(),
         B1='10000000000',
         B2='8e15',
         resume_line='METHOD=P-1; B1=10000000000; '
                     'N=183406918764628869846040649666666075922129772273046046042236662539484806931874445789370240940912492028016636510843907100388867309973079777484851466375919781148817807911409074193051138846424587819164992135734669; '
                     'X=0x613566f5ce097714e1cc747ca8c281a96d57863455021178f5af46efc40f8bb943fe4c4387c95f1a3855f6d6bdee5b8d84b30c63492ed81324e2c084f8c409c7392e29aeae4dfc5273b70a156f28a8f5dd4a98a29db43b; '
                     'CHECKSUM=3511626213; PROGRAM=GMP-ECM 7.0.6-dev; X0=0x3; '
                     'WHO=five@five; TIME=Wed Nov 22 12:58:40 2023;\n')
------------------------------------ result ------------------------------------
EcmOutput(factors=(123073731738798910399315746616159322986537,),
          exit_status=14,
          resume_line='',
          using='Using B1=10000000000-10000000000, B2=8344913552924776, '
                'polynomial x^1',
          version='GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, '
                  '--enable-asm-redc, --enable-assert] [ECM]',
          output='OMMITTED<1924>',
          timings=(('0',), ('570953',)),
          runtime=0)
------------------------------------ output ------------------------------------
GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/params.h
Running on sethtroisi-linux.sea.corp.google.com
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Wed Nov 22 12:58:40 2023
Input number is 183406918764628869846040649666666075922129772273046046042236662539484806931874445789370240940912492028016636510843907100388867309973079777484851466375919781148817807911409074193051138846424587819164992135734669 (210 digits)
Using mpz_mod
Using lmax = 33554432 with NTT which takes about 9984MB of memory
Using B1=10000000000-10000000000, B2=8344913552924776, polynomial x^1
P = 240705465, l = 33554432, s_1 = 16220160, k = s_2 = 5, m_1 = 16
Probability of finding a factor of n digits (assuming one exists):
20      25      30      35      40      45      50      55      60      65
0.81    0.55    0.3     0.14    0.055   0.019   0.0063  0.0018  0.0005  0.00013
Step 1 took 0ms
Computing F from factored S_1 took 94728ms
Computing h took 11522ms
Computing DCT-I of h took 28343ms
Multi-point evaluation 1 of 5:
Computing g_i took 37973ms
Computing g*h took 56567ms
Computing gcd of coefficients and N took 13629ms
Multi-point evaluation 2 of 5:
Computing g_i took 37540ms
Computing g*h took 58064ms
Computing gcd of coefficients and N took 14618ms
Multi-point evaluation 3 of 5:  
Computing g_i took 37878ms
Computing g*h took 56633ms
Computing gcd of coefficients and N took 13413ms
Multi-point evaluation 4 of 5:
Computing g_i took 38524ms
Computing g*h took 56772ms
Computing gcd of coefficients and N took 13370ms
Step 2 took 570953ms
********** Factor found in step 2: 123073731738798910399315746616159322986537
Found prime factor of 42 digits: 123073731738798910399315746616159322986537
Prime cofactor 1490219855800553118237445602218047576264403996792483604414537017248441193365722799682209273135452011388379551425387226124898633491260112287725108566493525284405114314437 has 169 digits
Peak memory usage: 10778MB
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
software ソフトウェア
gmp-ecm + ecm-db
execution environment 実行環境
1080 TI for stage 1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 08:51:41 UTC 2022 年 3 月 26 日 (土) 17 時 51 分 41 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 7, 2022 08:31:18 UTC 2022 年 5 月 7 日 (土) 17 時 31 分 18 秒 (日本時間)

755×10235-89

c202

composite cofactor 合成数の残り
1098246029772124521384220597738885713910980318139202695181676698785464188340005773685111211303542330946540979259181504088990545892640707490997000465436168695984276287343275911118172829353883519308588329<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 08:51:50 UTC 2022 年 3 月 26 日 (土) 17 時 51 分 50 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 7, 2022 08:31:26 UTC 2022 年 5 月 7 日 (土) 17 時 31 分 26 秒 (日本時間)

755×10238-89

c176

composite cofactor 合成数の残り
11578957826849355607334404111398390226757250615822157787925714298290475450881582616675133165521894731363296384315934903953488316468087747185705144325809706659514349008496120299<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 08:52:44 UTC 2022 年 3 月 26 日 (土) 17 時 52 分 44 秒 (日本時間)
4511e61200 / 4213NFS@home + Dmitry DomanovApril 18, 2022 22:36:11 UTC 2022 年 4 月 19 日 (火) 7 時 36 分 11 秒 (日本時間)

755×10240-89

c220

composite cofactor 合成数の残り
2287947134606764730524015408434102955162421437557528188016162323793426129269388096899576066006420350509258178554779794774562948500363988970579690008727737358356576795638465701745097771322908643436923969829574754932482271<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 26, 2022 08:57:34 UTC 2022 年 3 月 26 日 (土) 17 時 57 分 34 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 11, 2022 05:44:00 UTC 2022 年 5 月 11 日 (水) 14 時 44 分 0 秒 (日本時間)

755×10241-89

c211

composite cofactor 合成数の残り
8120297338398820511703896018026179086846828326750629832953403847139426168774814200274712620579375629945216438346291980572593740462417365346635882382527692312647930707956813110726673580913015081058881193963543067<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 08:52:52 UTC 2022 年 3 月 26 日 (土) 17 時 52 分 52 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 7, 2022 08:31:35 UTC 2022 年 5 月 7 日 (土) 17 時 31 分 35 秒 (日本時間)

755×10242-89

c231

composite cofactor 合成数の残り
263518210128816109989476019496297633920996710045324254275950164803745066195000106148613201036235962435466648379527347591447675680376066403998831401893167099216816340592291662026196970021480180147617681770511575598863526661910079503<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 26, 2022 08:57:26 UTC 2022 年 3 月 26 日 (土) 17 時 57 分 26 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 16, 2022 07:21:56 UTC 2022 年 5 月 16 日 (月) 16 時 21 分 56 秒 (日本時間)

755×10243-89

c228

composite cofactor 合成数の残り
682811400419758117723500326222190835053496659741819842133702144384202195775816137788212474833199182490474263203313175413389723244225276861777188237478657881618265954437308663942156343045841672147432646062247891536141990638828071<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 26, 2022 08:57:18 UTC 2022 年 3 月 26 日 (土) 17 時 57 分 18 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 11, 2022 05:45:01 UTC 2022 年 5 月 11 日 (水) 14 時 45 分 1 秒 (日本時間)

755×10244-89

c240

composite cofactor 合成数の残り
538530847902910948253676418140743289548992184098517906043699888099709378796464156242706651761844682853120739900014436906439145586215436305567110786994002121597554970090496007596209427585219118572652162426039385935029355994140784374816328883<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 26, 2022 08:57:10 UTC 2022 年 3 月 26 日 (土) 17 時 57 分 10 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 16, 2022 07:22:05 UTC 2022 年 5 月 16 日 (月) 16 時 22 分 5 秒 (日本時間)

755×10245-89

c191

composite cofactor 合成数の残り
38315743894914004862141265817897908870148737811980555499080964499868228465404739018840412720680247891209667847479884489825135616163646887003743365336682275744397930482006012601937751899935691<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 08:53:01 UTC 2022 年 3 月 26 日 (土) 17 時 53 分 1 秒 (日本時間)
4511e61200 / 4213NFS@home + Dmitry DomanovApril 18, 2022 22:36:19 UTC 2022 年 4 月 19 日 (火) 7 時 36 分 19 秒 (日本時間)

755×10246-89

c236

composite cofactor 合成数の残り
67983528362612807374730423222058808593217125224576792725586428237883182534840622819882577047497623183579273740925834403263247841631231817785624195979509914209637437637244689587825720621658272019347713953844933940323041787002699416905241<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 26, 2022 08:57:01 UTC 2022 年 3 月 26 日 (土) 17 時 57 分 1 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 16, 2022 07:22:14 UTC 2022 年 5 月 16 日 (月) 16 時 22 分 14 秒 (日本時間)

755×10248-89

c247

composite cofactor 合成数の残り
2093036149922377467287646928365491239742736748724772676868485251718784652916389443335551119982257706808605012197826569084054113994233754712796628964293634952317587048125970281658904413395431359503215790640940341539143934353515191838545131958305611<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 26, 2022 08:56:53 UTC 2022 年 3 月 26 日 (土) 17 時 56 分 53 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 19, 2022 08:01:23 UTC 2022 年 5 月 19 日 (木) 17 時 1 分 23 秒 (日本時間)

755×10249-89

c201

composite cofactor 合成数の残り
139400978907142097598573822167749551715102022364752132026050696524076164279721945512031767324528020398959365079928469456424057122500967015373564622869754557606100626535314523732563239839017566695884101<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 08:53:08 UTC 2022 年 3 月 26 日 (土) 17 時 53 分 8 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 7, 2022 08:31:43 UTC 2022 年 5 月 7 日 (土) 17 時 31 分 43 秒 (日本時間)

755×10250-89

c252

name 名前Dmitry Domanov
date 日付May 10, 2022 16:47:19 UTC 2022 年 5 月 11 日 (水) 1 時 47 分 19 秒 (日本時間)
composite number 合成数
104861111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<252>
prime factors 素因数
329193556525278285532048469382678778087<39>
composite cofactor 合成数の残り
318539379135930875160102374607486575325826752169763897126461685156734702433795779715260544903763256816414458239528982151783564853218881584602491158570400187028016250261928607794142373245935837202921132347145067553<213>
factorization results 素因数分解の結果
Resuming ECM residue saved by @9910e925e2c7 with GMP-ECM 7.0.5-dev on Mon May  9 16:14:02 2022 
Input number is 104861111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (252 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:602264776
Step 1 took 0ms
Step 2 took 35911ms
********** Factor found in step 2: 329193556525278285532048469382678778087
Found prime factor of 39 digits: 329193556525278285532048469382678778087
Composite cofactor 318539379135930875160102374607486575325826752169763897126461685156734702433795779715260544903763256816414458239528982151783564853218881584602491158570400187028016250261928607794142373245935837202921132347145067553 has 213 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 24, 2022 18:03:41 UTC 2022 年 3 月 25 日 (金) 3 時 3 分 41 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 8, 2022 23:04:22 UTC 2022 年 5 月 9 日 (月) 8 時 4 分 22 秒 (日本時間)

755×10251-89

c192

composite cofactor 合成数の残り
965712650376188299188768860536406230712289871159696874981350649651543930451768591963882776442624080447016149622994807593743688894687070186405715868435451300889083417026082203154213547498999719<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 08:53:17 UTC 2022 年 3 月 26 日 (土) 17 時 53 分 17 秒 (日本時間)
4511e61200 / 4213NFS@home + Dmitry DomanovApril 18, 2022 22:36:28 UTC 2022 年 4 月 19 日 (火) 7 時 36 分 28 秒 (日本時間)

755×10252-89

c244

composite cofactor 合成数の残り
2528030090938349594545291135488914251699343025850311651664145823413696511027135611598835458356680273842004386902309363036669582369736760462738442170527732676629382179811869410549794946713903559439937235466651694128193324540809050241584458021783<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 26, 2022 08:56:45 UTC 2022 年 3 月 26 日 (土) 17 時 56 分 45 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 19, 2022 08:02:19 UTC 2022 年 5 月 19 日 (木) 17 時 2 分 19 秒 (日本時間)

755×10253-89

c210

composite cofactor 合成数の残り
276668561671692271300370048382574459884349682586064544577097618525685269231976234923121406691602756870650452414299277014658348519251949815797328548715869968200955222668237152612404612199708694568912587010398287<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 08:53:24 UTC 2022 年 3 月 26 日 (土) 17 時 53 分 24 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 7, 2022 08:31:52 UTC 2022 年 5 月 7 日 (土) 17 時 31 分 52 秒 (日本時間)

755×10254-89

c140

name 名前Taiyo Kodama
date 日付March 19, 2022 03:41:52 UTC 2022 年 3 月 19 日 (土) 12 時 41 分 52 秒 (日本時間)
composite number 合成数
80304067470054179702158899877562231840436483446375826943288523054157791384926990584433649226453509147349764164020334551700120790808065731867<140>
prime factors 素因数
2558342750721043813027508556256122497<37>
31389096495151506137247033515311033583613792975082614705400779546623395929176451045276662665275696205211<104>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.2.1, --enable-asm-redc, --enable-assert] [ECM]
Input number is 80304067470054179702158899877562231840436483446375826943288523054157791384926990584433649226453509147349764164020334551700120790808065731867 (140 digits)

********** Factor found in step 2: 2558342750721043813027508556256122497
Found prime factor of 37 digits: 2558342750721043813027508556256122497
Prime cofactor 31389096495151506137247033515311033583613792975082614705400779546623395929176451045276662665275696205211 has 104 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

755×10255-89

c244

composite cofactor 合成数の残り
1243336670274116271515003497996981358847061018181897118735504150973504367429386195067890461745778901555356990455025176543905678133056253386446459289356088141210340513998674921997604958591749955197481170759093333506007809950216557148458648625677<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 26, 2022 08:56:37 UTC 2022 年 3 月 26 日 (土) 17 時 56 分 37 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 19, 2022 08:02:28 UTC 2022 年 5 月 19 日 (木) 17 時 2 分 28 秒 (日本時間)

755×10256-89

c196

composite cofactor 合成数の残り
4094966779947654884843390914068143295150541740070362860144142817197584348890355722812858820972173878592756132161567556386009678006460795099310200967269312250249248347789252146367851996544076811927<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 08:53:32 UTC 2022 年 3 月 26 日 (土) 17 時 53 分 32 秒 (日本時間)
4511e61200 / 4213NFS@home + Dmitry DomanovApril 18, 2022 22:36:41 UTC 2022 年 4 月 19 日 (火) 7 時 36 分 41 秒 (日本時間)

755×10257-89

c243

name 名前Dmitry Domanov
date 日付March 26, 2022 18:22:15 UTC 2022 年 3 月 27 日 (日) 3 時 22 分 15 秒 (日本時間)
composite number 合成数
136331673907237666590237675126407006461105878954279087951679985317787395106013950669511985228245056808862230920105479603566910762612322625368178968977259240676871726219075854834387282783299897261214551858888789655516557652280610022559286882341<243>
prime factors 素因数
995690311255660489052744947127310936961<39>
composite cofactor 合成数の残り
136921764092803531780382014386051846008357854199942801264205599679570786327061523161960058451804397626670035646979711793609553897466231818781491069448148782130336910237103579177786501233226071872661628581<204>
factorization results 素因数分解の結果
Resuming ECM residue saved by @4a78b4eb927c with GMP-ECM 7.0.5-dev on Sat Mar 26 15:03:21 2022 
Input number is 136331673907237666590237675126407006461105878954279087951679985317787395106013950669511985228245056808862230920105479603566910762612322625368178968977259240676871726219075854834387282783299897261214551858888789655516557652280610022559286882341 (243 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:654913089
Step 1 took 0ms
Step 2 took 10564ms
********** Factor found in step 2: 995690311255660489052744947127310936961
Found prime factor of 39 digits: 995690311255660489052744947127310936961
Composite cofactor 136921764092803531780382014386051846008357854199942801264205599679570786327061523161960058451804397626670035646979711793609553897466231818781491069448148782130336910237103579177786501233226071872661628581 has 204 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 26, 2022 08:56:29 UTC 2022 年 3 月 26 日 (土) 17 時 56 分 29 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 7, 2022 08:32:27 UTC 2022 年 5 月 7 日 (土) 17 時 32 分 27 秒 (日本時間)

755×10258-89

c255

composite cofactor 合成数の残り
310487996657421937971489388301634770707698786341489092207121402040420191013860513164691058274690169991150063989314278006428540879137509581947446513816098987685758182900870846863207624762713146925387472570133275430406274571732185802597077876146954996923907<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 24, 2022 18:03:48 UTC 2022 年 3 月 25 日 (金) 3 時 3 分 48 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 8, 2022 23:04:39 UTC 2022 年 5 月 9 日 (月) 8 時 4 分 39 秒 (日本時間)

755×10259-89

c261

composite cofactor 合成数の残り
104861111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 24, 2022 18:03:56 UTC 2022 年 3 月 25 日 (金) 3 時 3 分 56 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 8, 2022 23:04:48 UTC 2022 年 5 月 9 日 (月) 8 時 4 分 48 秒 (日本時間)

755×10261-89

c242

composite cofactor 合成数の残り
18556564495850329340479702039559559542892011645691572600145865095495293341468055242924618399191431893759319882939649510997726893958430105953179178039907209875991529633133037722966344430029704298975103186933496150546465788586762004020782909859<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 26, 2022 08:56:21 UTC 2022 年 3 月 26 日 (土) 17 時 56 分 21 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 19, 2022 08:02:38 UTC 2022 年 5 月 19 日 (木) 17 時 2 分 38 秒 (日本時間)

755×10262-89

c223

composite cofactor 合成数の残り
3430109156461737011266767140750678376606151512866990623332745905686804843258488142776813007743680290842620683512400081106135199859615777982820816067105703950731828875351189389150662515022013031070068511197278528600302986787<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 26, 2022 08:56:14 UTC 2022 年 3 月 26 日 (土) 17 時 56 分 14 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 11, 2022 05:45:11 UTC 2022 年 5 月 11 日 (水) 14 時 45 分 11 秒 (日本時間)

755×10263-89

c260

composite cofactor 合成数の残り
30129905787176712096977591331526337129302390917768902425397555127750800537629259291184987245671669428242137491340146283685633741663394279548059394624345921647878375746662963282220242827087064652791745283771833207226707787004313165850964316613829586849154127837<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 24, 2022 18:04:04 UTC 2022 年 3 月 25 日 (金) 3 時 4 分 4 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 8, 2022 23:04:58 UTC 2022 年 5 月 9 日 (月) 8 時 4 分 58 秒 (日本時間)

755×10264-89

c249

composite cofactor 合成数の残り
157137075964855510127293587069785954441055968217262557269366368657241228708180800274820150577651820820153236478520253184416856306344312415244582154777860916877642065147516849052998272833346603350940804293565887466285510280808844193432986832308194169<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 26, 2022 08:56:06 UTC 2022 年 3 月 26 日 (土) 17 時 56 分 6 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 19, 2022 08:02:48 UTC 2022 年 5 月 19 日 (木) 17 時 2 分 48 秒 (日本時間)

755×10266-89

c197

composite cofactor 合成数の残り
89354742821944417701066153675134550603731846904719995090751472418067488604160887394278991572997963707747668807893139944510619655710640468564349551692554731436128599325080081775639721440822971794683<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 08:53:41 UTC 2022 年 3 月 26 日 (土) 17 時 53 分 41 秒 (日本時間)
4511e61200 / 4213NFS@home + Dmitry DomanovApril 18, 2022 22:36:49 UTC 2022 年 4 月 19 日 (火) 7 時 36 分 49 秒 (日本時間)

755×10269-89

c221

composite cofactor 合成数の残り
96009461660750014353576587036923501040393955124321896870737035748741590160758733954619179583528768896881200112165944291171285772054141769190187422296380882873196051941352299061675686757656914649007965171451547108567309581<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 26, 2022 08:55:58 UTC 2022 年 3 月 26 日 (土) 17 時 55 分 58 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 11, 2022 05:45:20 UTC 2022 年 5 月 11 日 (水) 14 時 45 分 20 秒 (日本時間)

755×10270-89

c225

name 名前Dmitry Domanov
date 日付May 12, 2022 09:58:20 UTC 2022 年 5 月 12 日 (木) 18 時 58 分 20 秒 (日本時間)
composite number 合成数
242290535050820909817542859825104098534438165991461503878491787108631955128360696810067556423369293603171152591979944155557387170106020772397889010251616347508626357960972024898281131917512653099544478045813935474539096046533<225>
prime factors 素因数
15195585097918464642594129966816332079953<41>
composite cofactor 合成数の残り
15944798011365193871007593804646967871747118008987209643592322228423590141051001765717049737849105438950260413769414437459146370998920887098887187182820056326271908155281471109113719861<185>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3517529068
Step 1 took 82703ms
Step 2 took 33365ms
********** Factor found in step 2: 15195585097918464642594129966816332079953
Found prime factor of 41 digits: 15195585097918464642594129966816332079953
Composite cofactor 15944798011365193871007593804646967871747118008987209643592322228423590141051001765717049737849105438950260413769414437459146370998920887098887187182820056326271908155281471109113719861 has 185 digits
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3517529068
Step 1 took 82703ms
Step 2 took 33365ms
********** Factor found in step 2: 15195585097918464642594129966816332079953
Found prime factor of 41 digits: 15195585097918464642594129966816332079953
Composite cofactor 15944798011365193871007593804646967871747118008987209643592322228423590141051001765717049737849105438950260413769414437459146370998920887098887187182820056326271908155281471109113719861 has 185 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 26, 2022 08:55:50 UTC 2022 年 3 月 26 日 (土) 17 時 55 分 50 秒 (日本時間)
4511e654801000Dmitry DomanovMay 11, 2022 05:45:28 UTC 2022 年 5 月 11 日 (水) 14 時 45 分 28 秒 (日本時間)
4480Ignacio SantosMay 13, 2022 16:48:15 UTC 2022 年 5 月 14 日 (土) 1 時 48 分 15 秒 (日本時間)
5043e61792 / 6250Dmitry DomanovApril 16, 2024 05:42:58 UTC 2024 年 4 月 16 日 (火) 14 時 42 分 58 秒 (日本時間)

755×10272-89

c262

composite cofactor 合成数の残り
8905130793428308588266965934065830050169823893583359019092788711667584870324519376756476849729826532515409724065236524565929472604444367275086220092105228780067200974856040669646040392773205457404102672701236392897178341190999365082435726176985000258969228705997<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 24, 2022 18:04:12 UTC 2022 年 3 月 25 日 (金) 3 時 4 分 12 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 8, 2022 23:05:07 UTC 2022 年 5 月 9 日 (月) 8 時 5 分 7 秒 (日本時間)

755×10276-89

c242

composite cofactor 合成数の残り
27185546518317875337046538378979429342749123988573058050014157837426002778982712294793389617861720516278328245961816276899316640273710469386157987336848111520324437126194094710235243619136146913716498360843813846368919733480403703558610182419<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 26, 2022 08:55:41 UTC 2022 年 3 月 26 日 (土) 17 時 55 分 41 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 19, 2022 08:02:58 UTC 2022 年 5 月 19 日 (木) 17 時 2 分 58 秒 (日本時間)

755×10278-89

c260

composite cofactor 合成数の残り
13994883875072235420132122735057714519445954275717412136818545630946811539329843790538537790818474693266437120267512646384340890715537903608252980249130757964198794846210544266985710976001986015179228795590640224135178976858585390680523300716228308805841480337<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 24, 2022 18:04:20 UTC 2022 年 3 月 25 日 (金) 3 時 4 分 20 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 8, 2022 23:05:16 UTC 2022 年 5 月 9 日 (月) 8 時 5 分 16 秒 (日本時間)

755×10280-89

c282

composite cofactor 合成数の残り
104861111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 19, 2022 10:01:02 UTC 2022 年 3 月 19 日 (土) 19 時 1 分 2 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 5, 2022 09:52:06 UTC 2022 年 5 月 5 日 (木) 18 時 52 分 6 秒 (日本時間)

755×10282-89

c212

composite cofactor 合成数の残り
69196465327795495052495471515404666008420201537467807656591608224380706956035160132529930643978857336444866144755739637870690930680555485503130874660201870069349408521169534332919740339602987044248308695214764937<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 26, 2022 08:53:50 UTC 2022 年 3 月 26 日 (土) 17 時 53 分 50 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 7, 2022 08:32:40 UTC 2022 年 5 月 7 日 (土) 17 時 32 分 40 秒 (日本時間)

755×10284-89

c228

composite cofactor 合成数の残り
139639094193835098806085211685955442866727854134836730743016638274426517079883904445532448796447737614310535084302348520150826810459842698073259512461327823986326755299734450105509356303816011602145499182141983157538120398281783<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 26, 2022 08:55:34 UTC 2022 年 3 月 26 日 (土) 17 時 55 分 34 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 11, 2022 05:45:38 UTC 2022 年 5 月 11 日 (水) 14 時 45 分 38 秒 (日本時間)

755×10285-89

c267

composite cofactor 合成数の残り
106378911416815195514886156208471416116743215492975268384295402902485675586472049161074425848693407801826732605309322871593288882698863917239596385255651041168670570537274514387283318325158176856367739677511863832700383694792240723906917049252872075699139311541695817<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 24, 2022 18:04:27 UTC 2022 年 3 月 25 日 (金) 3 時 4 分 27 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 5, 2022 09:55:23 UTC 2022 年 5 月 5 日 (木) 18 時 55 分 23 秒 (日本時間)

755×10286-89

c273

composite cofactor 合成数の残り
418354106114369563533287898524189048476151335045882369594198159010615361447769586135770022992657457029507104304868001208826866174467886077029228739425611458652901088664728846015664262209398001484447191843093064586827133532605468484796673462976400436327837102028296172421821<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 19, 2022 10:00:54 UTC 2022 年 3 月 19 日 (土) 19 時 0 分 54 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 5, 2022 09:51:56 UTC 2022 年 5 月 5 日 (木) 18 時 51 分 56 秒 (日本時間)

755×10287-89

c184

name 名前Dmitry Domanov
date 日付April 21, 2024 19:42:05 UTC 2024 年 4 月 22 日 (月) 4 時 42 分 5 秒 (日本時間)
composite number 合成数
3268397024836496635018746485608721521532302104377670482482017679748034856503066214143503515252885347681613180730981981648226853430774551807430909451720877348197677600538026479759752989<184>
prime factors 素因数
9413508115506017505069140039911939273884137<43>
composite cofactor 合成数の残り
347202868976419414868316731593418988072168658944290157826959516091802383055215434897411802053567570561849509089981375731253070091965586194197<141>
factorization results 素因数分解の結果
Resuming ECM residue saved by @1050b367bfaa with GMP-ECM 7.0.5-dev on Sun Apr 21 08:15:23 2024 
Input number is 3268397024836496635018746485608721521532302104377670482482017679748034856503066214143503515252885347681613180730981981648226853430774551807430909451720877348197677600538026479759752989 (184 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:2824393657
Step 1 took 0ms
Step 2 took 25374ms
********** Factor found in step 2: 9413508115506017505069140039911939273884137
Found prime factor of 43 digits: 9413508115506017505069140039911939273884137
Composite cofactor 347202868976419414868316731593418988072168658944290157826959516091802383055215434897411802053567570561849509089981375731253070091965586194197 has 141 digits

c141

name 名前Bob Backstrom
date 日付May 3, 2024 18:13:27 UTC 2024 年 5 月 4 日 (土) 3 時 13 分 27 秒 (日本時間)
composite number 合成数
347202868976419414868316731593418988072168658944290157826959516091802383055215434897411802053567570561849509089981375731253070091965586194197<141>
prime factors 素因数
14523270499578625854411738318340567565811975147091666996661676969011<68>
23906658557829179225987170466315252376302036298906801920354833954288811927<74>
factorization results 素因数分解の結果
CADO:

STA:Wed May 1 03:25:44 AM AEST 2024 (347202868976419414868316731593418988072168658944290157826959516091802383055215434897411802053567570561849509089981375731253070091965586194197 - C141)

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 347202868976419414868316731593418988072168658944290157826959516091802383055215434897411802053567570561849509089981375731253070091965586194197 2>&1 | tee -a log-07 

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead.
  loc = locale.getdefaultlocale()[1]
Debug:root: Looking for parameter file for c141 in directory /home/bob/Downloads/Math/cado-nfs/parameters/factor
Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c140
Debug:Parameters: Reading parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c140
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.1ryjili3
Info:Database: Opened connection to database /tmp/cado.1ryjili3/c140.db
Info:root: Set tasks.threads=20 based on --server-threads 20
Info:root: tasks.threads = 20 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 20 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9
Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 347202868976419414868316731593418988072168658944290157826959516091802383055215434897411802053567570561849509089981375731253070091965586194197
Debug:root: Root parameter dictionary:
N = 347202868976419414868316731593418988072168658944290157826959516091802383055215434897411802053567570561849509089981375731253070091965586194197
name = c140
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 347202868976419414868316731593418988072168658944290157826959516091802383055215434897411802053567570561849509089981375731253070091965586194197
skew: 1821068.567
c0: 77930698542180763485535461567683622
c1: -67616628449333286116097125559
c2: -58691907214976172773932
c3: 10203135726011674
c4: 10645740800
c5: 4200
Y0: -2385538169498827363349370353
Y1: 64518903236156447969
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=8.053e+13) = 1.167e-06
# f(x) = 4200*x^5+10645740800*x^4+10203135726011674*x^3-58691907214976172773932*x^2-67616628449333286116097125559*x+77930698542180763485535461567683622
# g(x) = 64518903236156447969*x-2385538169498827363349370353
===

Debug:Command: Process with PID 599269 finished successfully
Info:Square Root: finished
Info:Square Root: Factors: 23906658557829179225987170466315252376302036298906801920354833954288811927 14523270499578625854411738318340567565811975147091666996661676969011
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2155.36/237.452
Info:HTTP server: Got notification to stop serving Workunits
Info:Lattice Sieving: Aggregate statistics: 
Info:Lattice Sieving: Total number of relations: 79613240
Info:Lattice Sieving: Average J: 4029.6 for 833827 special-q, max bucket fill -bkmult 1.0,1s:1.199610
Info:Lattice Sieving: Total time: 554367s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 638.21/594.309
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1335.5/1115.59
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 776.8s
Info:Quadratic Characters: Total cpu/real time for characters: 60.21/15.271
Info:Generate Free Relations: Total cpu/real time for freerel: 463.3/53.0864
Info:Linear Algebra: Total cpu/real time for bwc: 42980.9/5280.76
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 25855.76, WCT time 3132.88, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (64000 iterations)
Info:Linear Algebra: Lingen CPU time 73.3, WCT time 74.46
Info:Linear Algebra: Mksol: CPU time 14014.46,  WCT time 1722.46, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (32000 iterations)
Info:Square Root: Total cpu/real time for sqrt: 2155.36/237.452
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2663.08
Info:Polynomial Selection (root optimized): Rootsieve time: 2662.57
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 349.42/301.013
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 300.20000000000005s
Info:Filtering - Merging: Total cpu/real time for merge: 182.24/27.5359
Info:Filtering - Merging: Total cpu/real time for replay: 34.54/30.4704
Info:Generate Factor Base: Total cpu/real time for makefb: 3.94/0.62557
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 93020.2
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 64508/42.340/52.662/64.570/2.554
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54994/40.630/45.723/59.160/1.514
Info:Polynomial Selection (size optimized): Total time: 19418.3
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 593819/64616.6 [17:56:57]
Info:root: Cleaning up computation data in /tmp/cado.1ryjili3
23906658557829179225987170466315252376302036298906801920354833954288811927 14523270499578625854411738318340567565811975147091666996661676969011

END:Wed May 1 09:22:42 PM AEST 2024 (347202868976419414868316731593418988072168658944290157826959516091802383055215434897411802053567570561849509089981375731253070091965586194197 - C141)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 19, 2022 12:06:12 UTC 2022 年 3 月 19 日 (土) 21 時 6 分 12 秒 (日本時間)
4511e64480Ignacio SantosMarch 21, 2022 20:27:05 UTC 2022 年 3 月 22 日 (火) 5 時 27 分 5 秒 (日本時間)
5043e682461792Dmitry DomanovApril 16, 2024 20:39:35 UTC 2024 年 4 月 17 日 (水) 5 時 39 分 35 秒 (日本時間)
6454Ignacio SantosApril 26, 2024 14:36:33 UTC 2024 年 4 月 26 日 (金) 23 時 36 分 33 秒 (日本時間)

755×10288-89

c286

name 名前Dmitry Domanov
date 日付May 5, 2022 10:19:17 UTC 2022 年 5 月 5 日 (木) 19 時 19 分 17 秒 (日本時間)
composite number 合成数
1053986441965133290894673948247171686713349191990261444477948649222144045744407589819188974883014484984532225460962017399850347885326275114193497950659474430707720485587607911459554840799186964630727823008454227672239532728024033682893869847332506896282150076501267575747422968249181939<286>
prime factors 素因数
30872386357958476206755192847015280867<38>
composite cofactor 合成数の残り
34140102735965860817698395482752925074238199429063185115056372219457085627119217781148719993132481660252238376773096270526723476038768229407229668160515200644755583428250360999413712716561197004975172891197212817952352210505999988308116196664061617<248>
factorization results 素因数分解の結果
GPU: factor 30872386357958476206755192847015280867 found in Step 1 with curve 1464 (-sigma 3:1564223784)

Computing 1792 Step 1 took 1337ms of CPU time / 974937ms of GPU time

Throughput: 1.838 curves per second (on average 544.05ms per Step 1)

********** Factor found in step 1: 30872386357958476206755192847015280867

Found prime factor of 38 digits: 30872386357958476206755192847015280867

Composite cofactor 34140102735965860817698395482752925074238199429063185115056372219457085627119217781148719993132481660252238376773096270526723476038768229407229668160515200644755583428250360999413712716561197004975172891197212817952352210505999988308116196664061617 has 248 digits

Peak memory usage: 9430MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 19, 2022 10:00:46 UTC 2022 年 3 月 19 日 (土) 19 時 0 分 46 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 5, 2022 09:51:25 UTC 2022 年 5 月 5 日 (木) 18 時 51 分 25 秒 (日本時間)

755×10289-89

c272

composite cofactor 合成数の残り
16568925420707714566873522238255572134343902842370737876580238465649404739854449365586124524881912798637062646217199843418480473257702654069498524859269232231969077077443717783397914978500203148737373070003162173310911377176478761763034162867680791622526880896741601043777<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 19, 2022 10:00:38 UTC 2022 年 3 月 19 日 (土) 19 時 0 分 38 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 5, 2022 09:51:35 UTC 2022 年 5 月 5 日 (木) 18 時 51 分 35 秒 (日本時間)

755×10290-89

c260

composite cofactor 合成数の残り
37841610263242468505107234189507324531649217721282644490573334797169775717684654799059136193924332355705577128754327056733925204450018967385199377212704644620640460792689666768463194403069650248198119589531251070639880011243752130803555086195051172773367896601<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 24, 2022 18:04:36 UTC 2022 年 3 月 25 日 (金) 3 時 4 分 36 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 8, 2022 23:05:33 UTC 2022 年 5 月 9 日 (月) 8 時 5 分 33 秒 (日本時間)

755×10291-89

c292

composite cofactor 合成数の残り
1498015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873<292>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 19, 2022 10:00:29 UTC 2022 年 3 月 19 日 (土) 19 時 0 分 29 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 5, 2022 09:51:46 UTC 2022 年 5 月 5 日 (木) 18 時 51 分 46 秒 (日本時間)

755×10292-89

c246

composite cofactor 合成数の残り
796612919486344245700948923054998984704589022234077566654076699423654673040591710668142036876330716524368728660480073285305640631746984864390307550441808292164631253976978656492315014307133083211219077077561777402272150715959047450583222220958431<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 25, 2022 19:53:17 UTC 2022 年 3 月 26 日 (土) 4 時 53 分 17 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 19, 2022 08:03:15 UTC 2022 年 5 月 19 日 (木) 17 時 3 分 15 秒 (日本時間)

755×10294-89

c245

name 名前Dmitry Domanov
date 日付May 21, 2022 18:29:49 UTC 2022 年 5 月 22 日 (日) 3 時 29 分 49 秒 (日本時間)
composite number 合成数
79432146619044339880594801758832192960740695464473578775918126683467378543538758239278282000334889982861391471180273784752273782597582776220929660808682950036287953254329608955657247470151024381178984201276881761828052660096489674787318154465793<245>
prime factors 素因数
3155148034486313894574710982253841162561<40>
composite cofactor 合成数の残り
25175410393058339780208849983710654354483713363137479305840086500670485814738706270987643227036021727161844682444293220887509982501099958912979754222969394591436953034072398424890375306019885503546080952513<206>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:77877824
Step 1 took 71500ms
Step 2 took 27110ms
********** Factor found in step 2: 3155148034486313894574710982253841162561
Found prime factor of 40 digits: 3155148034486313894574710982253841162561
Composite cofactor 25175410393058339780208849983710654354483713363137479305840086500670485814738706270987643227036021727161844682444293220887509982501099958912979754222969394591436953034072398424890375306019885503546080952513 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 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 25, 2022 19:53:08 UTC 2022 年 3 月 26 日 (土) 4 時 53 分 8 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 19, 2022 08:03:24 UTC 2022 年 5 月 19 日 (木) 17 時 3 分 24 秒 (日本時間)

755×10296-89

c266

composite cofactor 合成数の残り
11081372927136459869573173950051545328438646376813716919300920138400900462932023026283228893565825794017650140323196752792334125939497252286109222563250982647843311230117881264348790398538248722663177999374005910909954461105436389694871287994365366896891664341373569<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 24, 2022 18:04:54 UTC 2022 年 3 月 25 日 (金) 3 時 4 分 54 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 5, 2022 09:54:58 UTC 2022 年 5 月 5 日 (木) 18 時 54 分 58 秒 (日本時間)

755×10298-89

c244

composite cofactor 合成数の残り
1276022136691524347040549711649926539217714507026870822527004753767655076042052091811563275595076893917889771414557200745107191733272413878550462764843875896573039475990428691222874299864933772708994791172180512717141298489253648094650063925371<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 25, 2022 19:52:42 UTC 2022 年 3 月 26 日 (土) 4 時 52 分 42 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 19, 2022 08:03:33 UTC 2022 年 5 月 19 日 (木) 17 時 3 分 33 秒 (日本時間)

755×10299-89

c249

composite cofactor 合成数の残り
245134437948207782307811831458315313843709429945961694369977780297797936441696002192128206537337756446438062090917712543385261886472841403810424909836705425540521173018368881018003611760822791465339876230682906062907885927162971431530666182265791587<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 25, 2022 19:52:58 UTC 2022 年 3 月 26 日 (土) 4 時 52 分 58 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 19, 2022 08:03:43 UTC 2022 年 5 月 19 日 (木) 17 時 3 分 43 秒 (日本時間)

755×10300-89

c281

composite cofactor 合成数の残り
56454899814873852485226262625638181459597797030877539773741892657653846004202725470743531605036319983720129499439101211659928132272181981155763086160780591000008393278603965221517463463976083577797022782658832517682304436149902507012784054090114334093607541134980924170063563247343<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 19, 2022 10:00:21 UTC 2022 年 3 月 19 日 (土) 19 時 0 分 21 秒 (日本時間)
4511e635841792Dmitry DomanovMarch 20, 2022 16:10:50 UTC 2022 年 3 月 21 日 (月) 1 時 10 分 50 秒 (日本時間)
1792Dmitry DomanovMarch 21, 2022 16:30:04 UTC 2022 年 3 月 22 日 (火) 1 時 30 分 4 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovMarch 22, 2022 08:45:22 UTC 2022 年 3 月 22 日 (火) 17 時 45 分 22 秒 (日本時間)