Table of contents 目次

49×10124+59

c114

name 名前Dmitry Domanov
date 日付April 24, 2022 19:21:23 UTC 2022 年 4 月 25 日 (月) 4 時 21 分 23 秒 (日本時間)
composite number 合成数
204201130065331112030581666840582029097533298146252661958750632222829008776533504548256256078999388338104118392881<114>
prime factors 素因数
113961171930242301119584885243624961567<39>
1791848281363114841266279452963797439812758327145305335740196753112258586543<76>
factorization results 素因数分解の結果
N=204201130065331112030581666840582029097533298146252661958750632222829008776533504548256256078999388338104118392881
  ( 114 digits)
SNFS difficulty: 125 digits.
Divisors found:
p39 factor: 113961171930242301119584885243624961567
p76 factor: 1791848281363114841266279452963797439812758327145305335740196753112258586543
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.25 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 204201130065331112030581666840582029097533298146252661958750632222829008776533504548256256078999388338104118392881
m: 10000000000000000000000000000000
deg: 4
c4: 49
c0: 5
skew: 0.57
# Murphy_E = 2.289e-08
type: snfs
lss: 1
rlim: 870000
alim: 870000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 870000/870000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [435000, 735001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 104710 x 104935
Total sieving time: 1.22 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,125.000,4,0,0,0,0,0,0,0,0,870000,870000,26,26,46,46,2.3,2.3,75000
total time: 1.25 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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10130+59

c100

name 名前Dmitry Domanov
date 日付April 25, 2022 00:30:45 UTC 2022 年 4 月 25 日 (月) 9 時 30 分 45 秒 (日本時間)
composite number 合成数
3183014805675130843272419172548619841086289463473252730056446849659520955189658529664005668697672029<100>
prime factors 素因数
607529902665031476400289277932925400184969<42>
5239272654255048691824755307117473756469915199011628690741<58>
factorization results 素因数分解の結果
N=3183014805675130843272419172548619841086289463473252730056446849659520955189658529664005668697672029
  ( 100 digits)
SNFS difficulty: 130 digits.
Divisors found:
p42 factor: 607529902665031476400289277932925400184969
p58 factor: 5239272654255048691824755307117473756469915199011628690741
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.51 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3183014805675130843272419172548619841086289463473252730056446849659520955189658529664005668697672029
m: 100000000000000000000000000000000
deg: 4
c4: 980
c0: 1
skew: 0.18
# Murphy_E = 1.162e-08
type: snfs
lss: 1
rlim: 1070000
alim: 1070000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1070000/1070000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [535000, 1135001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 134394 x 134620
Total sieving time: 2.46 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,130.000,4,0,0,0,0,0,0,0,0,1070000,1070000,26,26,47,47,2.3,2.3,100000
total time: 2.51 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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10138+59

c125

name 名前Dmitry Domanov
date 日付April 25, 2022 15:42:08 UTC 2022 年 4 月 26 日 (火) 0 時 42 分 8 秒 (日本時間)
composite number 合成数
81303578407404245251262507073368072192301897168168085695793419844546197853444510386533682651072901440774207872405935652591683<125>
prime factors 素因数
15398909119739809918478713030283383701844067<44>
5279827147182878101634404875468733451987004727668663277662219065187656495784857249<82>
factorization results 素因数分解の結果
N=81303578407404245251262507073368072192301897168168085695793419844546197853444510386533682651072901440774207872405935652591683
  ( 125 digits)
SNFS difficulty: 138 digits.
Divisors found:
p44 factor: 15398909119739809918478713030283383701844067
p82 factor: 5279827147182878101634404875468733451987004727668663277662219065187656495784857249
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 5.35 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 81303578407404245251262507073368072192301897168168085695793419844546197853444510386533682651072901440774207872405935652591683
m: 10000000000000000000000000000000000
deg: 4
c4: 980
c0: 1
skew: 0.18
# Murphy_E = 4.684e-09
type: snfs
lss: 1
rlim: 1450000
alim: 1450000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1450000/1450000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [725000, 1925001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 208633 x 208858
Total sieving time: 5.29 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,138.000,4,0,0,0,0,0,0,0,0,1450000,1450000,26,26,48,48,2.3,2.3,100000
total time: 5.35 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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10147+59

c123

name 名前Ignacio Santos
date 日付April 29, 2022 19:07:28 UTC 2022 年 4 月 30 日 (土) 4 時 7 分 28 秒 (日本時間)
composite number 合成数
513225758259638235647144869482485697767616241335219261477599583618083215321022077299480289817033792734383512559855198721531<123>
prime factors 素因数
309325798798826644271602243450591562857<39>
1659175407459046505550973860477513344751193455849708548973470726199435651966354969283<85>
factorization results 素因数分解の結果
N=513225758259638235647144869482485697767616241335219261477599583618083215321022077299480289817033792734383512559855198721531
  ( 123 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=309325798798826644271602243450591562857 (pp39)
 r2=1659175407459046505550973860477513344751193455849708548973470726199435651966354969283 (pp85)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.12 hours.
Scaled time: 72.04 units (timescale=7.899).
Factorization parameters were as follows:
n: 513225758259638235647144869482485697767616241335219261477599583618083215321022077299480289817033792734383512559855198721531
m: 100000000000000000000000000000
deg: 5
c5: 980
c0: 1
skew: 0.25
# Murphy_E = 2.167e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 3000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 225482 x 225708
Total sieving time: 9.07 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,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 9.12 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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10150+59

c128

name 名前ebina
date 日付April 29, 2022 07:33:55 UTC 2022 年 4 月 29 日 (金) 16 時 33 分 55 秒 (日本時間)
composite number 合成数
51320776496865257390444136764919582121371830995593561341903478771376058898341022742928106695732253303322544566298794496414492203<128>
prime factors 素因数
10378105411827825837997020157380109<35>
116835032100167486810625855947131414174687<42>
42325496270613536945203943060235010836129237113732041<53>
factorization results 素因数分解の結果
Fri Apr 29 16:20:41 2022  Msieve v. 1.53 (SVN unknown)
Fri Apr 29 16:20:41 2022  random seeds: 2745673c 1172e751
Fri Apr 29 16:20:41 2022  factoring 51320776496865257390444136764919582121371830995593561341903478771376058898341022742928106695732253303322544566298794496414492203 (128 digits)
Fri Apr 29 16:20:42 2022  searching for 15-digit factors
Fri Apr 29 16:20:42 2022  commencing number field sieve (128-digit input)
Fri Apr 29 16:20:42 2022  R0: -1000000000000000000000000000000
Fri Apr 29 16:20:42 2022  R1: 1
Fri Apr 29 16:20:42 2022  A0: 5
Fri Apr 29 16:20:43 2022  A1: 0
Fri Apr 29 16:20:43 2022  A2: 0
Fri Apr 29 16:20:43 2022  A3: 0
Fri Apr 29 16:20:43 2022  A4: 0
Fri Apr 29 16:20:43 2022  A5: 49
Fri Apr 29 16:20:43 2022  skew 0.63, size 1.582e-10, alpha 0.011, combined = 1.607e-09 rroots = 1
Fri Apr 29 16:20:43 2022  
Fri Apr 29 16:20:43 2022  commencing square root phase
Fri Apr 29 16:20:43 2022  reading relations for dependency 1
Fri Apr 29 16:20:43 2022  read 198899 cycles
Fri Apr 29 16:20:43 2022  cycles contain 701728 unique relations
Fri Apr 29 16:20:58 2022  read 701728 relations
Fri Apr 29 16:21:02 2022  multiplying 701728 relations
Fri Apr 29 16:21:34 2022  multiply complete, coefficients have about 18.46 million bits
Fri Apr 29 16:21:34 2022  initial square root is modulo 200971
Fri Apr 29 16:22:17 2022  GCD is N, no factor found
Fri Apr 29 16:22:17 2022  reading relations for dependency 2
Fri Apr 29 16:22:17 2022  read 198693 cycles
Fri Apr 29 16:22:18 2022  cycles contain 701608 unique relations
Fri Apr 29 16:22:32 2022  read 701608 relations
Fri Apr 29 16:22:37 2022  multiplying 701608 relations
Fri Apr 29 16:23:09 2022  multiply complete, coefficients have about 18.46 million bits
Fri Apr 29 16:23:09 2022  initial square root is modulo 200351
Fri Apr 29 16:23:51 2022  found factor: 116835032100167486810625855947131414174687
Fri Apr 29 16:23:51 2022  reading relations for dependency 3
Fri Apr 29 16:23:52 2022  read 198943 cycles
Fri Apr 29 16:23:52 2022  cycles contain 703420 unique relations
Fri Apr 29 16:24:06 2022  read 703420 relations
Fri Apr 29 16:24:11 2022  multiplying 703420 relations
Fri Apr 29 16:24:43 2022  multiply complete, coefficients have about 18.50 million bits
Fri Apr 29 16:24:43 2022  initial square root is modulo 206821
Fri Apr 29 16:25:26 2022  sqrtTime: 283
Fri Apr 29 16:25:26 2022  p35 factor: 10378105411827825837997020157380109
Fri Apr 29 16:25:26 2022  p42 factor: 116835032100167486810625855947131414174687
Fri Apr 29 16:25:26 2022  p53 factor: 42325496270613536945203943060235010836129237113732041
Fri Apr 29 16:25:26 2022  elapsed time 00:04:45

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10151+59

c123

name 名前Ignacio Santos
date 日付April 30, 2022 22:01:44 UTC 2022 年 5 月 1 日 (日) 7 時 1 分 44 秒 (日本時間)
composite number 合成数
121548810516280543210681616500138513488977323304607576454122664765434971067024796494187641747948810981119174702000257694963<123>
prime factors 素因数
38917666656636677750602400035652638015946051<44>
3123229652709733420375069373450223903963955037323122106087494713262788489031313<79>
factorization results 素因数分解の結果
N=121548810516280543210681616500138513488977323304607576454122664765434971067024796494187641747948810981119174702000257694963
  ( 123 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=38917666656636677750602400035652638015946051 (pp44)
 r2=3123229652709733420375069373450223903963955037323122106087494713262788489031313 (pp79)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.46 hours.
Scaled time: 74.71 units (timescale=7.899).
Factorization parameters were as follows:
n: 121548810516280543210681616500138513488977323304607576454122664765434971067024796494187641747948810981119174702000257694963
m: 1000000000000000000000000000000
deg: 5
c5: 98
c0: 1
skew: 0.40
# Murphy_E = 1.716e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 1900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 255559 x 255788
Total sieving time: 9.41 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 9.46 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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10153+59

c119

name 名前Taiyo Kodama
date 日付April 30, 2022 12:56:00 UTC 2022 年 4 月 30 日 (土) 21 時 56 分 0 秒 (日本時間)
composite number 合成数
17480247012636810146923073986865703792244003665587656172792225083631172606784030578339621492697207314471477736123830011<119>
prime factors 素因数
126904725195718344138763019778917748068398656811535327459299<60>
137743074465335815478779200782533018327124432311683206727689<60>
factorization results 素因数分解の結果
Sat Apr 30 21:13:11 2022  Msieve v. 1.53 (SVN unknown)
Sat Apr 30 21:13:11 2022  random seeds: b116da30 2c73f53e
Sat Apr 30 21:13:11 2022  factoring 17480247012636810146923073986865703792244003665587656172792225083631172606784030578339621492697207314471477736123830011 (119 digits)
Sat Apr 30 21:13:11 2022  searching for 15-digit factors
Sat Apr 30 21:13:11 2022  commencing number field sieve (119-digit input)
Sat Apr 30 21:13:11 2022  R0: -1000000000000000000000000000000
Sat Apr 30 21:13:11 2022  R1: 1
Sat Apr 30 21:13:11 2022  A0: 1
Sat Apr 30 21:13:11 2022  A1: 0
Sat Apr 30 21:13:11 2022  A2: 0
Sat Apr 30 21:13:11 2022  A3: 0
Sat Apr 30 21:13:11 2022  A4: 0
Sat Apr 30 21:13:11 2022  A5: 9800
Sat Apr 30 21:13:11 2022  skew 0.16, size 1.043e-10, alpha -1.273, combined = 1.271e-09 rroots = 1
Sat Apr 30 21:13:11 2022  
Sat Apr 30 21:13:11 2022  commencing square root phase
Sat Apr 30 21:13:11 2022  reading relations for dependency 1
Sat Apr 30 21:13:11 2022  read 198108 cycles
Sat Apr 30 21:13:11 2022  cycles contain 687448 unique relations
Sat Apr 30 21:13:17 2022  read 687448 relations
Sat Apr 30 21:13:18 2022  multiplying 687448 relations
Sat Apr 30 21:13:30 2022  multiply complete, coefficients have about 22.71 million bits
Sat Apr 30 21:13:30 2022  initial square root is modulo 3327251
Sat Apr 30 21:13:45 2022  sqrtTime: 34
Sat Apr 30 21:13:45 2022  p60 factor: 126904725195718344138763019778917748068398656811535327459299
Sat Apr 30 21:13:45 2022  p60 factor: 137743074465335815478779200782533018327124432311683206727689
Sat Apr 30 21:13:45 2022  elapsed time 00:00:34
Sat Apr 30 21:13:45 2022 -> Computing time scale for this machine...
Sat Apr 30 21:13:45 2022 -> procrels -speedtest> PIPE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10156+59

c154

name 名前Bob Backstrom
date 日付April 25, 2022 03:07:51 UTC 2022 年 4 月 25 日 (月) 12 時 7 分 51 秒 (日本時間)
composite number 合成数
1359411846303232071022333194617838812595366902483007351921209599112220835067277014842557913718962408100984880011097239561659037314468026078512969898737689<154>
prime factors 素因数
91961140819650292025987049047749136568173327<44>
14782459571366609488413740700279192626073189120088145983263861475356520953076947948407476732195383415998917207<110>
factorization results 素因数分解の結果
Number: n
N=1359411846303232071022333194617838812595366902483007351921209599112220835067277014842557913718962408100984880011097239561659037314468026078512969898737689  ( 154 digits)
SNFS difficulty: 156 digits.
Divisors found:

Mon Apr 25 13:02:22 2022  p44 factor: 91961140819650292025987049047749136568173327
Mon Apr 25 13:02:22 2022  p110 factor: 14782459571366609488413740700279192626073189120088145983263861475356520953076947948407476732195383415998917207
Mon Apr 25 13:02:22 2022  elapsed time 00:05:37 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 49x10^156+5 = 54(155)5
#
n: 1359411846303232071022333194617838812595366902483007351921209599112220835067277014842557913718962408100984880011097239561659037314468026078512969898737689
m: 10000000000000000000000000000000
deg: 5
c5: 98
c0: 1
skew: 0.40
# Murphy_E = 1.104e-09
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1566175 hash collisions in 15803053 relations (15279974 unique)
Msieve: matrix is 315009 x 315235 (105.6 MB)

Sieving start time : 2022/04/25 12:33:03
Sieving end time  : 2022/04/25 12:49:26

Total sieving time: 0hrs 16min 23secs.

Total relation processing time: 0hrs 1min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 28sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10158+59

c119

name 名前Taiyo Kodama
date 日付May 1, 2022 15:37:40 UTC 2022 年 5 月 2 日 (月) 0 時 37 分 40 秒 (日本時間)
composite number 合成数
20898209599173574945175633390654899924331896226436937776776176531607870308431154637508788216099586425959798693911900043<119>
prime factors 素因数
9491056351885124156461844061053827169126958569<46>
2201884471481696485581108889691206949708394291801845700849593963023121747<73>
factorization results 素因数分解の結果
Mon May  2 00:02:13 2022  Msieve v. 1.53 (SVN unknown)
Mon May  2 00:02:13 2022  random seeds: 7d7cc628 436304a7
Mon May  2 00:02:13 2022  factoring 20898209599173574945175633390654899924331896226436937776776176531607870308431154637508788216099586425959798693911900043 (119 digits)
Mon May  2 00:02:13 2022  searching for 15-digit factors
Mon May  2 00:02:13 2022  commencing number field sieve (119-digit input)
Mon May  2 00:02:13 2022  R0: -10000000000000000000000000000000
Mon May  2 00:02:13 2022  R1: 1
Mon May  2 00:02:13 2022  A0: 1
Mon May  2 00:02:13 2022  A1: 0
Mon May  2 00:02:13 2022  A2: 0
Mon May  2 00:02:13 2022  A3: 0
Mon May  2 00:02:13 2022  A4: 0
Mon May  2 00:02:13 2022  A5: 9800
Mon May  2 00:02:13 2022  skew 0.16, size 4.840e-11, alpha -1.273, combined = 8.168e-10 rroots = 1
Mon May  2 00:02:13 2022  
Mon May  2 00:02:13 2022  commencing square root phase
Mon May  2 00:02:13 2022  reading relations for dependency 1
Mon May  2 00:02:13 2022  read 248934 cycles
Mon May  2 00:02:14 2022  cycles contain 854966 unique relations
Mon May  2 00:02:20 2022  read 854966 relations
Mon May  2 00:02:22 2022  multiplying 854966 relations
Mon May  2 00:02:38 2022  multiply complete, coefficients have about 28.40 million bits
Mon May  2 00:02:38 2022  initial square root is modulo 143223851
Mon May  2 00:02:56 2022  sqrtTime: 43
Mon May  2 00:02:56 2022  p46 factor: 9491056351885124156461844061053827169126958569
Mon May  2 00:02:56 2022  p73 factor: 2201884471481696485581108889691206949708394291801845700849593963023121747
Mon May  2 00:02:56 2022  elapsed time 00:00:43
Mon May 02 00:02:56 2022 -> Computing time scale for this machine...
Mon May 02 00:02:56 2022 -> procrels -speedtest> PIPE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10160+59

c156

name 名前Bob Backstrom
date 日付April 25, 2022 01:53:53 UTC 2022 年 4 月 25 日 (月) 10 時 53 分 53 秒 (日本時間)
composite number 合成数
196688804192281369355482901119721263866058938402284801374413195008921242190149904967195117300787357325353387563246489205196598487904642056481799261012064249<156>
prime factors 素因数
69765256830618247998187546796570672751704326479231813777372951926483<68>
2819294490233418182925578575917042197916099189284312615010912621817332497181870513065603<88>
factorization results 素因数分解の結果
Number: n
N=196688804192281369355482901119721263866058938402284801374413195008921242190149904967195117300787357325353387563246489205196598487904642056481799261012064249  ( 156 digits)
SNFS difficulty: 161 digits.
Divisors found:

Mon Apr 25 11:49:37 2022  p68 factor: 69765256830618247998187546796570672751704326479231813777372951926483
Mon Apr 25 11:49:37 2022  p88 factor: 2819294490233418182925578575917042197916099189284312615010912621817332497181870513065603
Mon Apr 25 11:49:37 2022  elapsed time 00:07:35 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 49x10^160+5 = 54(159)5
#
n: 196688804192281369355482901119721263866058938402284801374413195008921242190149904967195117300787357325353387563246489205196598487904642056481799261012064249
m: 100000000000000000000000000000000
deg: 5
c5: 49
c0: 5
skew: 0.63
# Murphy_E = 6.625e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1635516 hash collisions in 15685765 relations (15058784 unique)
Msieve: matrix is 386660 x 386886 (130.1 MB)

Sieving start time : 2022/04/25 11:36:57
Sieving end time  : 2022/04/25 11:40:49

Total sieving time: 0hrs 3min 52secs.

Total relation processing time: 0hrs 2min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 52sec.

Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10162+59

c151

name 名前Bob Backstrom
date 日付April 25, 2022 04:36:27 UTC 2022 年 4 月 25 日 (月) 13 時 36 分 27 秒 (日本時間)
composite number 合成数
2615633605010326565792890797852135831108540787091462991958941218389487280516118432484121550480023465570152690291080817438790104035148867799944107072589<151>
prime factors 素因数
266965234405210844376372314011922642565386857933607383<54>
9797656278495835874547348465644805645846307442817831993661339763048110126953152924731056231810683<97>
factorization results 素因数分解の結果
Number: n
N=2615633605010326565792890797852135831108540787091462991958941218389487280516118432484121550480023465570152690291080817438790104035148867799944107072589  ( 151 digits)
SNFS difficulty: 162 digits.
Divisors found:

Mon Apr 25 14:31:02 2022  p54 factor: 266965234405210844376372314011922642565386857933607383
Mon Apr 25 14:31:02 2022  p97 factor: 9797656278495835874547348465644805645846307442817831993661339763048110126953152924731056231810683
Mon Apr 25 14:31:02 2022  elapsed time 00:06:59 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.310).
Factorization parameters were as follows:
#
# N = 49x10^162+5 = 54(161)5
#
n: 2615633605010326565792890797852135831108540787091462991958941218389487280516118432484121550480023465570152690291080817438790104035148867799944107072589
m: 100000000000000000000000000000000
deg: 5
c5: 980
c0: 1
skew: 0.25
# Murphy_E = 5.761e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1706119 hash collisions in 15962218 relations (15276216 unique)
Msieve: matrix is 432392 x 432621 (145.3 MB)

Sieving start time : 2022/04/25 13:54:45
Sieving end time  : 2022/04/25 14:23:33

Total sieving time: 0hrs 28min 48secs.

Total relation processing time: 0hrs 2min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 24sec.

Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10164+59

c144

name 名前Ignacio Santos
date 日付May 2, 2022 17:34:09 UTC 2022 年 5 月 3 日 (火) 2 時 34 分 9 秒 (日本時間)
composite number 合成数
441001615680692584761265623410571004526898998222401609558245615464000376227836121271958792508526278520462248538483857307392443925902096174102403<144>
prime factors 素因数
4679184657944889310641977293458809517114349<43>
94247534115138277010619454898125991633222752133075096233969052752082797806266350378586712849653472047<101>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:608480914
Step 1 took 5781ms
Step 2 took 3359ms
********** Factor found in step 2: 4679184657944889310641977293458809517114349
Found prime factor of 43 digits: 4679184657944889310641977293458809517114349
Prime cofactor 94247534115138277010619454898125991633222752133075096233969052752082797806266350378586712849653472047 has 101 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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10172+59

c131

name 名前Bob Backstrom
date 日付June 9, 2022 03:15:35 UTC 2022 年 6 月 9 日 (木) 12 時 15 分 35 秒 (日本時間)
composite number 合成数
87418624279511758826435819211773618063743432487140619748060928559747510726515515465815772767833045379751958494027089476962783829381<131>
prime factors 素因数
34253232723020374121186094470650127518926880409058860977204828487<65>
2552127706788995253318336287134321429963111313890481371870740478163<67>
factorization results 素因数分解の結果
Number: n
N=87418624279511758826435819211773618063743432487140619748060928559747510726515515465815772767833045379751958494027089476962783829381  ( 131 digits)
SNFS difficulty: 172 digits.
Divisors found:

Thu Jun  9 13:08:22 2022  p65 factor: 34253232723020374121186094470650127518926880409058860977204828487
Thu Jun  9 13:08:22 2022  p67 factor: 2552127706788995253318336287134321429963111313890481371870740478163
Thu Jun  9 13:08:22 2022  elapsed time 00:11:45 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 49x10^172+5 = 54(171)5
#
n: 87418624279511758826435819211773618063743432487140619748060928559747510726515515465815772767833045379751958494027089476962783829381
m: 10000000000000000000000000000000000
deg: 5
c5: 980
c0: 1
skew: 0.25
# Murphy_E = 2.324e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1243571 hash collisions in 12403862 relations (11918966 unique)
Msieve: matrix is 722462 x 722692 (249.7 MB)

Sieving start time : 2022/06/09 12:12:04
Sieving end time  : 2022/06/09 12:56:22

Total sieving time: 0hrs 44min 18secs.

Total relation processing time: 0hrs 7min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 53sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 28, 2022 17:46:05 UTC 2022 年 4 月 29 日 (金) 2 時 46 分 5 秒 (日本時間)

49×10173+59

c156

name 名前Bob Backstrom
date 日付April 27, 2022 12:30:49 UTC 2022 年 4 月 27 日 (水) 21 時 30 分 49 秒 (日本時間)
composite number 合成数
125707449092362095687137401587148761580957110702637838000516580174761801577472226865515921861863987363031858420864796759892705182997042153125764574713753009<156>
prime factors 素因数
142070048002361262637129094614697413587751701038957201<54>
884827244446857554201087794945750207133260667812462893591625612123470739094066667129156126664566098209<102>
factorization results 素因数分解の結果
Number: n
N=125707449092362095687137401587148761580957110702637838000516580174761801577472226865515921861863987363031858420864796759892705182997042153125764574713753009  ( 156 digits)
SNFS difficulty: 173 digits.
Divisors found:

Wed Apr 27 21:56:56 2022  p54 factor: 142070048002361262637129094614697413587751701038957201
Wed Apr 27 21:56:56 2022  p102 factor: 884827244446857554201087794945750207133260667812462893591625612123470739094066667129156126664566098209
Wed Apr 27 21:56:56 2022  elapsed time 00:10:52 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 49x10^173+5 = 54(172)5
#
n: 125707449092362095687137401587148761580957110702637838000516580174761801577472226865515921861863987363031858420864796759892705182997042153125764574713753009
m: 10000000000000000000000000000000000
deg: 5
c5: 9800
c0: 1
skew: 0.16
# Murphy_E = 2.105e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1751838 hash collisions in 14831139 relations (13952902 unique)
Msieve: matrix is 646899 x 647128 (224.0 MB)

Sieving start time : 2022/04/27 20:58:25
Sieving end time  : 2022/04/27 21:45:35

Total sieving time: 0hrs 47min 10secs.

Total relation processing time: 0hrs 6min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 49sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10175+59

c174

name 名前Bob Backstrom
date 日付April 26, 2022 22:45:15 UTC 2022 年 4 月 27 日 (水) 7 時 45 分 15 秒 (日本時間)
composite number 合成数
989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989899<174>
prime factors 素因数
1112945903059017499146240365943044046722864155011744905147<58>
889440346721414144139794902124354301026304079537432493074510328245892661737320054961326872524963569466433309784759217<117>
factorization results 素因数分解の結果
Number: n
N=989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989899  ( 174 digits)
SNFS difficulty: 176 digits.
Divisors found:

Wed Apr 27 08:40:14 2022  p58 factor: 1112945903059017499146240365943044046722864155011744905147
Wed Apr 27 08:40:14 2022  p117 factor: 889440346721414144139794902124354301026304079537432493074510328245892661737320054961326872524963569466433309784759217
Wed Apr 27 08:40:14 2022  elapsed time 00:16:22 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.311).
Factorization parameters were as follows:
#
# N = 49x10^175+5 = 54(174)5
#
n: 989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989899
m: 100000000000000000000000000000000000
deg: 5
c5: 49
c0: 5
skew: 0.63
# Murphy_E = 1.69e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3873554 hash collisions in 30900808 relations (28779268 unique)
Msieve: matrix is 754959 x 755190 (255.9 MB)

Sieving start time : 2022/04/27 06:40:39
Sieving end time  : 2022/04/27 08:16:10

Total sieving time: 1hrs 35min 31secs.

Total relation processing time: 0hrs 8min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 40sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10176+59

c137

name 名前Eric Jeancolas
date 日付June 23, 2022 12:46:21 UTC 2022 年 6 月 23 日 (木) 21 時 46 分 21 秒 (日本時間)
composite number 合成数
33451195905496773552931880830895977766007640663089235782562269533964728530282885082597077414400086470858118312188052105379004079974701503<137>
prime factors 素因数
262994715471032891780726419613551041642841783<45>
127193414687380663209410297749024139375704648825154149913871216266970118709756772700030614841<93>
factorization results 素因数分解の結果
33451195905496773552931880830895977766007640663089235782562269533964728530282885082597077414400086470858118312188052105379004079974701503=262994715471032891780726419613551041642841783*127193414687380663209410297749024139375704648825154149913871216266970118709756772700030614841

cado polynomial
n: 33451195905496773552931880830895977766007640663089235782562269533964728530282885082597077414400086470858118312188052105379004079974701503
skew: 0.40
type: snfs
c0: 1
c5: 98
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 98*x^5+1
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6200000
tasks.lim1 = 6200000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 127193414687380663209410297749024139375704648825154149913871216266970118709756772700030614841 262994715471032891780726419613551041642841783
Info:Square Root: Total cpu/real time for sqrt: 162.65/51.9925
Info:Filtering - Singleton removal: Total cpu/real time for purge: 145.07/138.577
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22444876
Info:Lattice Sieving: Average J: 1893.21 for 580481 special-q, max bucket fill -bkmult 1.0,1s:1.183640
Info:Lattice Sieving: Total time: 97432.2s
Info:Linear Algebra: Total cpu/real time for bwc: 9020.33/2319.29
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5671.0, WCT time 1450.58, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24064 iterations)
Info:Linear Algebra: Lingen CPU time 131.18, WCT time 33.36
Info:Linear Algebra: Mksol: CPU time 3097.71,  WCT time 791.62, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12032 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 117.61/32.3192
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 88.92/98.6999
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 98.6s
Info:Filtering - Merging: Merged matrix has 767401 rows and total weight 130562848 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 173.59/48.364
Info:Filtering - Merging: Total cpu/real time for replay: 27.68/23.4051
Info:Generate Factor Base: Total cpu/real time for makefb: 2.65/1.51852
Info:Quadratic Characters: Total cpu/real time for characters: 25.6/10.0768
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 213.36/178.299
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 164.2s
Info:Square Root: Total cpu/real time for sqrt: 162.65/51.9925
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 191388/51918.8
Info:root: Cleaning up computation data in /tmp/cado.2370ps_k
127193414687380663209410297749024139375704648825154149913871216266970118709756772700030614841 262994715471032891780726419613551041642841783
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 27, 2022 22:15:59 UTC 2022 年 4 月 28 日 (木) 7 時 15 分 59 秒 (日本時間)

49×10177+59

c146

name 名前Bob Backstrom
date 日付April 28, 2022 19:54:20 UTC 2022 年 4 月 29 日 (金) 4 時 54 分 20 秒 (日本時間)
composite number 合成数
12115180487704332589104472339606619800666604450894319731607496465270587100143446724646566759420347691981086512172161559834567579118698230059799267<146>
prime factors 素因数
16518651887199294808308733673647810076379556647692661976939580287219<68>
733424287310799295395061132275336011235053443013097672429716874306750210714193<78>
factorization results 素因数分解の結果
Number: n
N=12115180487704332589104472339606619800666604450894319731607496465270587100143446724646566759420347691981086512172161559834567579118698230059799267  ( 146 digits)
SNFS difficulty: 177 digits.
Divisors found:

Fri Apr 29 05:50:31 2022  p68 factor: 16518651887199294808308733673647810076379556647692661976939580287219
Fri Apr 29 05:50:31 2022  p78 factor: 733424287310799295395061132275336011235053443013097672429716874306750210714193
Fri Apr 29 05:50:31 2022  elapsed time 00:16:56 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 49x10^177+5 = 54(176)5
#
n: 12115180487704332589104472339606619800666604450894319731607496465270587100143446724646566759420347691981086512172161559834567579118698230059799267
m: 100000000000000000000000000000000000
deg: 5
c5: 980
c0: 1
skew: 0.25
# Murphy_E = 1.466e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3835680 hash collisions in 32503148 relations (29869140 unique)
Msieve: matrix is 786221 x 786449 (265.2 MB)

Sieving start time : 2022/04/29 03:57:33
Sieving end time  : 2022/04/29 05:33:06

Total sieving time: 1hrs 35min 33secs.

Total relation processing time: 0hrs 8min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 43sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10178+59

c147

name 名前Bob Backstrom
date 日付April 27, 2022 11:21:02 UTC 2022 年 4 月 27 日 (水) 20 時 21 分 2 秒 (日本時間)
composite number 合成数
399874080968151737082315600289749378396905767258755604180560689140707302279859875133389272838691587443215496267622085594915491163771321639394287407<147>
prime factors 素因数
39954131222895578375432772310974449<35>
10008328769241396027128493803558382980298398424382246632045608472796380757547428042438384652513215322322059718943<113>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 399874080968151737082315600289749378396905767258755604180560689140707302279859875133389272838691587443215496267622085594915491163771321639394287407 (147 digits)
Using B1=10190000, B2=35133066160, polynomial Dickson(12), sigma=1:4226608239
Step 1 took 19952ms
Step 2 took 10246ms
********** Factor found in step 2: 39954131222895578375432772310974449
Found prime factor of 35 digits: 39954131222895578375432772310974449
Prime cofactor 10008328769241396027128493803558382980298398424382246632045608472796380757547428042438384652513215322322059718943 has 113 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10179+59

c153

name 名前Bob Backstrom
date 日付April 28, 2022 17:00:46 UTC 2022 年 4 月 29 日 (金) 2 時 0 分 46 秒 (日本時間)
composite number 合成数
967464965589873969458257505399154827283197957979192542978302516353794470218106703317044539552588814485103368575304622353034576694532573841683626289517577<153>
prime factors 素因数
21958061686534164069788741295247733508205647733918143283326895975001962167673<77>
44059670630362345020000763948929039989362032975523843811335338727713673279249<77>
factorization results 素因数分解の結果
Number: n
N=967464965589873969458257505399154827283197957979192542978302516353794470218106703317044539552588814485103368575304622353034576694532573841683626289517577  ( 153 digits)
SNFS difficulty: 179 digits.
Divisors found:

Fri Apr 29 02:56:14 2022  p77 factor: 21958061686534164069788741295247733508205647733918143283326895975001962167673
Fri Apr 29 02:56:14 2022  p77 factor: 44059670630362345020000763948929039989362032975523843811335338727713673279249
Fri Apr 29 02:56:14 2022  elapsed time 00:22:45 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 49x10^179+5 = 54(178)5
#
n: 967464965589873969458257505399154827283197957979192542978302516353794470218106703317044539552588814485103368575304622353034576694532573841683626289517577
m: 100000000000000000000000000000000000
deg: 5
c5: 98000
c0: 1
skew: 0.10
# Murphy_E = 1.041e-10
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4161274 hash collisions in 30848973 relations (28338857 unique)
Msieve: matrix is 935621 x 935856 (318.1 MB)

Sieving start time : 2022/04/28 23:42:22
Sieving end time  : 2022/04/29 02:32:32

Total sieving time: 2hrs 50min 10secs.

Total relation processing time: 0hrs 13min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 13sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10180+59

c116

name 名前Ignacio Santos
date 日付April 25, 2022 21:18:25 UTC 2022 年 4 月 26 日 (火) 6 時 18 分 25 秒 (日本時間)
composite number 合成数
73811057676252559395476207054928478820912957235633092389483068883909362229171322273974487307446895664696769890849789<116>
prime factors 素因数
45514290672080411949135434579536126918484680001<47>
1621711699475744702357988761737680294706443992145767507189185758329789<70>
factorization results 素因数分解の結果
prp70 = 1621711699475744702357988761737680294706443992145767507189185758329789
prp47 = 45514290672080411949135434579536126918484680001
software ソフトウェア
Yafu, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 25, 2022 17:07:44 UTC 2022 年 4 月 26 日 (火) 2 時 7 分 44 秒 (日本時間)

49×10181+59

c167

name 名前Ignacio Santos
date 日付April 28, 2022 19:48:01 UTC 2022 年 4 月 29 日 (金) 4 時 48 分 1 秒 (日本時間)
composite number 合成数
12825326421289226993264125577295592628872353789141467494395489960882266431199569868572353252033439048931589499798437634102486182926091998084173468494363370743329911721<167>
prime factors 素因数
5581659277162069944085575779175889201<37>
composite cofactor 合成数の残り
2297762329163545032534712968534363147455283564567523432722367159311065735782353111676940598553859996804418977859047768730502038521<130>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3684062812
Step 1 took 4875ms
********** Factor found in step 2: 5581659277162069944085575779175889201
Found prime factor of 37 digits: 5581659277162069944085575779175889201
Composite cofactor 2297762329163545032534712968534363147455283564567523432722367159311065735782353111676940598553859996804418977859047768730502038521 has 130 digits
 
software ソフトウェア
GMP-ECM

c130

name 名前Bob Backstrom
date 日付June 20, 2022 00:30:56 UTC 2022 年 6 月 20 日 (月) 9 時 30 分 56 秒 (日本時間)
composite number 合成数
2297762329163545032534712968534363147455283564567523432722367159311065735782353111676940598553859996804418977859047768730502038521<130>
prime factors 素因数
201399475655674575365719542418128625827043<42>
11408978706041650625426492748194292129809315678068393128415134914118405349490658387922547<89>
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 2297762329163545032534712968534363147455283564567523432722367159311065735782353111676940598553859996804418977859047768730502038521 (130 digits)
Using B1=15890000, B2=58558142380, polynomial Dickson(12), sigma=1:2905966564
Step 1 took 23030ms
Step 2 took 12031ms
********** Factor found in step 2: 201399475655674575365719542418128625827043
Found prime factor of 42 digits: 201399475655674575365719542418128625827043
Prime cofactor 11408978706041650625426492748194292129809315678068393128415134914118405349490658387922547 has 89 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 29, 2022 17:10:21 UTC 2022 年 4 月 30 日 (土) 2 時 10 分 21 秒 (日本時間)

49×10182+59

c147

name 名前Bob Backstrom
date 日付April 29, 2022 16:53:25 UTC 2022 年 4 月 30 日 (土) 1 時 53 分 25 秒 (日本時間)
composite number 合成数
103584372403593976337059321966066025741827968522400110870853034750755392260477562431722180302392464953166831811050132311040751538932297844309752449<147>
prime factors 素因数
519319321508199911737893874156548076833266347143211672856014683791186227<72>
199461811092962400188718125760134251747906467572019751768258177847622264187<75>
factorization results 素因数分解の結果
Number: n
N=103584372403593976337059321966066025741827968522400110870853034750755392260477562431722180302392464953166831811050132311040751538932297844309752449  ( 147 digits)
SNFS difficulty: 182 digits.
Divisors found:

Sat Apr 30 02:49:11 2022  p72 factor: 519319321508199911737893874156548076833266347143211672856014683791186227
Sat Apr 30 02:49:11 2022  p75 factor: 199461811092962400188718125760134251747906467572019751768258177847622264187
Sat Apr 30 02:49:11 2022  elapsed time 00:19:06 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.296).
Factorization parameters were as follows:
#
# N = 49x10^182+5 = 54(181)5
#
n: 103584372403593976337059321966066025741827968522400110870853034750755392260477562431722180302392464953166831811050132311040751538932297844309752449
m: 1000000000000000000000000000000000000
deg: 5
c5: 980
c0: 1
skew: 0.25
# Murphy_E = 9.204e-11
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3466372 hash collisions in 31727914 relations (30238043 unique)
Msieve: matrix is 838316 x 838544 (282.5 MB)

Sieving start time : 2022/04/29 23:50:45
Sieving end time  : 2022/04/30 02:29:34

Total sieving time: 2hrs 38min 49secs.

Total relation processing time: 0hrs 10min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 53sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 28, 2022 19:49:23 UTC 2022 年 4 月 29 日 (金) 4 時 49 分 23 秒 (日本時間)

49×10184+59

c153

name 名前Bob Backstrom
date 日付April 30, 2022 04:22:36 UTC 2022 年 4 月 30 日 (土) 13 時 22 分 36 秒 (日本時間)
composite number 合成数
492851203284124854926787318039701375670780138061371929293045335947531226969577580219451659098336884381585520834312373914471979138100555284689286854499603<153>
prime factors 素因数
63660102103025084140341998883381699481010500861413211071080667309169729<71>
7741916632281130219969027227597299223866185948534652854969417777227981814819943507<82>
factorization results 素因数分解の結果
Number: n
N=492851203284124854926787318039701375670780138061371929293045335947531226969577580219451659098336884381585520834312373914471979138100555284689286854499603  ( 153 digits)
SNFS difficulty: 184 digits.
Divisors found:

Sat Apr 30 14:18:52 2022  p71 factor: 63660102103025084140341998883381699481010500861413211071080667309169729
Sat Apr 30 14:18:52 2022  p82 factor: 7741916632281130219969027227597299223866185948534652854969417777227981814819943507
Sat Apr 30 14:18:52 2022  elapsed time 00:22:02 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 49x10^184+5 = 54(183)5
#
n: 492851203284124854926787318039701375670780138061371929293045335947531226969577580219451659098336884381585520834312373914471979138100555284689286854499603
m: 1000000000000000000000000000000000000
deg: 5
c5: 98000
c0: 1
skew: 0.10
# Murphy_E = 6.533e-11
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3074761 hash collisions in 29574398 relations (28335130 unique)
Msieve: matrix is 932537 x 932762 (322.8 MB)

Sieving start time : 2022/04/30 10:39:13
Sieving end time  : 2022/04/30 13:55:58

Total sieving time: 3hrs 16min 45secs.

Total relation processing time: 0hrs 13min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 21sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 29, 2022 17:10:41 UTC 2022 年 4 月 30 日 (土) 2 時 10 分 41 秒 (日本時間)

49×10185+59

c163

name 名前Bob Backstrom
date 日付May 2, 2022 02:41:19 UTC 2022 年 5 月 2 日 (月) 11 時 41 分 19 秒 (日本時間)
composite number 合成数
1686252325056494551113277810934337907720754948834326162168446940293448964205836669494070994298549804257251621793321771168529365031142459854637230705546100431725769<163>
prime factors 素因数
5000185364149283916425613797588551596426685755588401428412713<61>
337237962645688498375864327538552359207559625771049918966942677697660684514410386062450064689491108513<102>
factorization results 素因数分解の結果
Number: n
N=1686252325056494551113277810934337907720754948834326162168446940293448964205836669494070994298549804257251621793321771168529365031142459854637230705546100431725769  ( 163 digits)
SNFS difficulty: 186 digits.
Divisors found:

Mon May  2 12:36:39 2022  p61 factor: 5000185364149283916425613797588551596426685755588401428412713
Mon May  2 12:36:39 2022  p102 factor: 337237962645688498375864327538552359207559625771049918966942677697660684514410386062450064689491108513
Mon May  2 12:36:39 2022  elapsed time 00:21:58 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.301).
Factorization parameters were as follows:
#
# N = 49x10^185+5 = 54(184)5
#
n: 1686252325056494551113277810934337907720754948834326162168446940293448964205836669494070994298549804257251621793321771168529365031142459854637230705546100431725769
m: 10000000000000000000000000000000000000
deg: 5
c5: 49
c0: 5
skew: 0.63
# Murphy_E = 6.648e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 10100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3149222 hash collisions in 30484770 relations (29255545 unique)
Msieve: matrix is 934283 x 934510 (321.7 MB)

Sieving start time : 2022/05/02 09:26:28
Sieving end time  : 2022/05/02 12:14:09

Total sieving time: 2hrs 47min 41secs.

Total relation processing time: 0hrs 13min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 59sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 30, 2022 15:32:24 UTC 2022 年 5 月 1 日 (日) 0 時 32 分 24 秒 (日本時間)

49×10186+59

c127

name 名前Ignacio Santos
date 日付April 30, 2022 10:43:36 UTC 2022 年 4 月 30 日 (土) 19 時 43 分 36 秒 (日本時間)
composite number 合成数
3184386406069526496060692447879253689665142538837966209109207824514532356451955802374555314716440921569020735119729004518201981<127>
prime factors 素因数
378365785358537863305890102928926231375827<42>
8416158461717184665502527321313645333428095511406439269901949391526791654027582843503<85>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1754732447
Step 1 took 17765ms
Step 2 took 9297ms
********** Factor found in step 2: 378365785358537863305890102928926231375827
Found prime factor of 42 digits: 378365785358537863305890102928926231375827
Prime cofactor 8416158461717184665502527321313645333428095511406439269901949391526791654027582843503 has 85 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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 24, 2022 18:44:37 UTC 2022 年 4 月 25 日 (月) 3 時 44 分 37 秒 (日本時間)

49×10191+59

c147

name 名前Ignacio Santos
date 日付May 2, 2022 15:25:57 UTC 2022 年 5 月 3 日 (火) 0 時 25 分 57 秒 (日本時間)
composite number 合成数
120994875152427248060404325391830767193538547947527504058952271822495393778358481027897201761119816257942159628628031879503062571598059108292056691<147>
prime factors 素因数
5248813707887831030424374678322090540443<40>
composite cofactor 合成数の残り
23051851691859083696687048442064979570203806775752285600749002108411740983005937737931901967074716228912137<107>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1459598720
Step 1 took 5937ms
Step 2 took 3344ms
********** Factor found in step 2: 5248813707887831030424374678322090540443
Found prime factor of 40 digits: 5248813707887831030424374678322090540443
Composite cofactor 23051851691859083696687048442064979570203806775752285600749002108411740983005937737931901967074716228912137 has 107 digits
 
software ソフトウェア
GMP-ECM

c107

name 名前Andreas Tete
date 日付May 3, 2022 19:20:01 UTC 2022 年 5 月 4 日 (水) 4 時 20 分 1 秒 (日本時間)
composite number 合成数
23051851691859083696687048442064979570203806775752285600749002108411740983005937737931901967074716228912137<107>
prime factors 素因数
844072376296788544446604634870952723530366598168691<51>
27310278524923206211932382193925112628464824488903964307<56>
factorization results 素因数分解の結果
05/03/22 20:49:07, ****************************
05/03/22 20:49:07, Starting factorization of 23051851691859083696687048442064979570203806775752285600749002108411740983005937737931901967074716228912137
05/03/22 20:49:07, using pretesting plan: normal
05/03/22 20:49:07, using tune info for qs/gnfs crossover
05/03/22 20:49:07, ****************************
05/03/22 20:49:07, rho: x^2 + 3, starting 1000 iterations on C107
05/03/22 20:49:07, rho: x^2 + 2, starting 1000 iterations on C107
05/03/22 20:49:07, rho: x^2 + 1, starting 1000 iterations on C107
05/03/22 20:49:07, pm1: starting B1 = 150K, B2 = gmp-ecm default on C107
05/03/22 20:49:07, current ECM pretesting depth: 0.00
05/03/22 20:49:07, scheduled 30 curves at B1=2000 toward target pretesting depth of 32.92
05/03/22 20:49:07, Finished 30 curves using GMP-ECM method on C107 input, B1=2k, B2=gmp-ecm default
05/03/22 20:49:07, current ECM pretesting depth: 15.18
05/03/22 20:49:07, scheduled 74 curves at B1=11000 toward target pretesting depth of 32.92
05/03/22 20:49:07, Finished 74 curves using GMP-ECM method on C107 input, B1=11k, B2=gmp-ecm default
05/03/22 20:49:07, current ECM pretesting depth: 20.24
05/03/22 20:49:07, scheduled 214 curves at B1=50000 toward target pretesting depth of 32.92
05/03/22 20:49:10, Finished 214 curves using GMP-ECM method on C107 input, B1=50k, B2=gmp-ecm default
05/03/22 20:49:10, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C107
05/03/22 20:49:10, current ECM pretesting depth: 25.33
05/03/22 20:49:10, scheduled 430 curves at B1=250000 toward target pretesting depth of 32.92
05/03/22 20:49:32, Finished 430 curves using GMP-ECM method on C107 input, B1=250k, B2=gmp-ecm default
05/03/22 20:49:32, pm1: starting B1 = 15M, B2 = gmp-ecm default on C107
05/03/22 20:49:33, current ECM pretesting depth: 30.45
05/03/22 20:49:33, scheduled 448 curves at B1=1000000 toward target pretesting depth of 32.92
05/03/22 20:51:04, Finished 448 curves using GMP-ECM method on C107 input, B1=1M, B2=gmp-ecm default
05/03/22 20:51:04, final ECM pretested depth: 32.93
05/03/22 20:51:04, scheduler: switching to sieve method
05/03/22 20:51:04, nfs: commencing nfs on c107: 23051851691859083696687048442064979570203806775752285600749002108411740983005937737931901967074716228912137
05/03/22 20:51:05, nfs: commencing poly selection with 8 threads
05/03/22 20:51:05, nfs: setting deadline of 304 seconds
05/03/22 20:51:05, nfs: expecting degree 4 poly E from 4.19e-09 to > 4.82e-09
05/03/22 20:51:05, nfs: searching for avg quality poly E > 4.34e-09
05/03/22 20:53:06, nfs: completed 79 ranges of size 250 in 121.7199 seconds
05/03/22 20:53:06, nfs: best poly = # norm 1.247316e-14 alpha -4.960417 e 4.372e-09 rroots 2
05/03/22 20:53:06, nfs: commencing lattice sieving with 8 threads
05/03/22 20:53:40, nfs: commencing lattice sieving with 8 threads
05/03/22 20:54:12, nfs: commencing lattice sieving with 8 threads
05/03/22 20:54:44, nfs: commencing lattice sieving with 8 threads
05/03/22 20:55:18, nfs: commencing lattice sieving with 8 threads
05/03/22 20:55:51, nfs: commencing lattice sieving with 8 threads
05/03/22 20:56:23, nfs: commencing lattice sieving with 8 threads
05/03/22 20:56:54, nfs: commencing lattice sieving with 8 threads
05/03/22 20:57:24, nfs: commencing lattice sieving with 8 threads
05/03/22 20:57:57, nfs: commencing lattice sieving with 8 threads
05/03/22 20:58:32, nfs: commencing lattice sieving with 8 threads
05/03/22 20:59:06, nfs: commencing lattice sieving with 8 threads
05/03/22 20:59:38, nfs: commencing lattice sieving with 8 threads
05/03/22 21:00:09, nfs: commencing lattice sieving with 8 threads
05/03/22 21:00:39, nfs: commencing lattice sieving with 8 threads
05/03/22 21:01:11, nfs: commencing lattice sieving with 8 threads
05/03/22 21:01:45, nfs: commencing lattice sieving with 8 threads
05/03/22 21:02:18, nfs: commencing lattice sieving with 8 threads
05/03/22 21:02:51, nfs: commencing lattice sieving with 8 threads
05/03/22 21:03:23, nfs: commencing lattice sieving with 8 threads
05/03/22 21:03:57, nfs: commencing lattice sieving with 8 threads
05/03/22 21:04:29, nfs: commencing msieve filtering
05/03/22 21:05:06, nfs: raising min_rels by 5.00 percent to 4746840
05/03/22 21:05:06, nfs: commencing lattice sieving with 8 threads
05/03/22 21:05:39, nfs: commencing lattice sieving with 8 threads
05/03/22 21:06:13, nfs: commencing msieve filtering
05/03/22 21:06:54, nfs: raising min_rels by 5.00 percent to 5198259
05/03/22 21:06:54, nfs: commencing lattice sieving with 8 threads
05/03/22 21:07:25, nfs: commencing lattice sieving with 8 threads
05/03/22 21:07:59, nfs: commencing msieve filtering
05/03/22 21:08:43, nfs: raising min_rels by 5.00 percent to 5641455
05/03/22 21:08:43, nfs: commencing lattice sieving with 8 threads
05/03/22 21:09:17, nfs: commencing lattice sieving with 8 threads
05/03/22 21:09:50, nfs: commencing msieve filtering
05/03/22 21:10:48, nfs: commencing msieve linear algebra
05/03/22 21:12:01, nfs: commencing msieve sqrt
05/03/22 21:12:19, prp51 = 844072376296788544446604634870952723530366598168691
05/03/22 21:12:19, prp56 = 27310278524923206211932382193925112628464824488903964307
05/03/22 21:12:19, NFS elapsed time = 1274.7533 seconds.
05/03/22 21:12:19, 
05/03/22 21:12:19, 
05/03/22 21:12:19, Total factoring time = 1392.5319 seconds
software ソフトウェア
YAFU Version 2.08
05/03/22 20:46:52, Built with Microsoft Visual Studio  1922
05/03/22 20:46:52, Using GMP-ECM 7.0.4, Powered by MPIR 3.0.0
execution environment 実行環境
AMD Ryzen 7 5800X 8-Core Processor, Windows 11

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 3, 2022 14:25:32 UTC 2022 年 5 月 3 日 (火) 23 時 25 分 32 秒 (日本時間)

49×10195+59

c169

name 名前Bob Backstrom
date 日付May 6, 2022 07:03:48 UTC 2022 年 5 月 6 日 (金) 16 時 3 分 48 秒 (日本時間)
composite number 合成数
1816083498415121951540468546569380664566876509354268717925561330127350025555820215572000857093438948739471378268487072575379055735401079542390621396010078751369674234649<169>
prime factors 素因数
3385301544285492386095018482518733132716320080627591161104429251412817<70>
536461368258533578794403960238880907257024266773913930059157851047503230280850634543512165184084297<99>
factorization results 素因数分解の結果
Number: n
N=1816083498415121951540468546569380664566876509354268717925561330127350025555820215572000857093438948739471378268487072575379055735401079542390621396010078751369674234649  ( 169 digits)
SNFS difficulty: 196 digits.
Divisors found:

Fri May  6 16:57:52 2022  p70 factor: 3385301544285492386095018482518733132716320080627591161104429251412817
Fri May  6 16:57:52 2022  p99 factor: 536461368258533578794403960238880907257024266773913930059157851047503230280850634543512165184084297
Fri May  6 16:57:52 2022  elapsed time 00:53:22 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 49x10^195+5 = 54(194)5
#
n: 1816083498415121951540468546569380664566876509354268717925561330127350025555820215572000857093438948739471378268487072575379055735401079542390621396010078751369674234649
m: 1000000000000000000000000000000000000000
deg: 5
c5: 49
c0: 5
skew: 0.63
# Murphy_E = 2.57e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3278045 hash collisions in 29142298 relations (27591318 unique)
Msieve: matrix is 1454467 x 1454694 (507.2 MB)

Sieving start time : 2022/05/06 11:09:19
Sieving end time  : 2022/05/06 16:04:00

Total sieving time: 4hrs 54min 41secs.

Total relation processing time: 0hrs 40min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 50sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] 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)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 4, 2022 19:08:51 UTC 2022 年 5 月 5 日 (木) 4 時 8 分 51 秒 (日本時間)

49×10197+59

c167

name 名前Bob Backstrom
date 日付May 8, 2022 13:23:53 UTC 2022 年 5 月 8 日 (日) 22 時 23 分 53 秒 (日本時間)
composite number 合成数
85715205004274050757814146378442836032205342529053223152773359333220835238489647251368223375561122396518636258783475529052341433187505149214905785296334190883087125433<167>
prime factors 素因数
1181932394607399527778119434804769693035476947<46>
205606482471749814064114459043310638757314451474912923<54>
352718654335300084549789652810897931798022585403139399658272248287993<69>
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 85715205004274050757814146378442836032205342529053223152773359333220835238489647251368223375561122396518636258783475529052341433187505149214905785296334190883087125433 (167 digits)
Using B1=19680000, B2=70271979970, polynomial Dickson(12), sigma=1:577317582
Step 1 took 32511ms
Step 2 took 12326ms
********** Factor found in step 2: 1181932394607399527778119434804769693035476947
Found prime factor of 46 digits: 1181932394607399527778119434804769693035476947
Composite cofactor 72521241820050058398207278592189917215179303809966967359628602405196302172976501054169780224330485558466383251075501433539 has 122 digits


Number: n
N=72521241820050058398207278592189917215179303809966967359628602405196302172976501054169780224330485558466383251075501433539  ( 122 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sun May  8 23:16:31 2022  p54 factor: 205606482471749814064114459043310638757314451474912923
Sun May  8 23:16:31 2022  p69 factor: 352718654335300084549789652810897931798022585403139399658272248287993
Sun May  8 23:16:31 2022  elapsed time 00:58:19 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 49x10^197+5 = 54(196)5
#
n: 72521241820050058398207278592189917215179303809966967359628602405196302172976501054169780224330485558466383251075501433539
m: 1000000000000000000000000000000000000000
deg: 5
c5: 980
c0: 1
skew: 0.25
# Murphy_E = 2.221e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3434879 hash collisions in 29240777 relations (27497704 unique)
Msieve: matrix is 1568164 x 1568389 (545.5 MB)

Sieving start time : 2022/05/08 16:22:24
Sieving end time  : 2022/05/08 22:17:42

Total sieving time: 5hrs 55min 18secs.

Total relation processing time: 0hrs 47min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 9sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,14000000,14000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] 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)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 5, 2022 19:23:59 UTC 2022 年 5 月 6 日 (金) 4 時 23 分 59 秒 (日本時間)

49×10198+59

c185

composite cofactor 合成数の残り
12930438265562566293740610782244739239319703610617896035021461123327511726170987622672569376873289146833844985978057695671171730969224485375294382459933157864911672006544633529668426967<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10199+59

c140

composite cofactor 合成数の残り
11624149460671959235432950696410657442577040003448350898960177185261957816742210858167557808001456997737262757598749776764508370505925057697<140>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10200+59

c177

composite cofactor 合成数の残り
926582002027773840347476529183635642763699365912216392984393502160767095462167717981979440303588737317859470145046980565949824330624011700191500632666879066456054287215527956609<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:53:52 UTC 2022 年 6 月 16 日 (木) 21 時 53 分 52 秒 (日本時間)

49×10203+59

c173

composite cofactor 合成数の残り
29753483413367642126086444666040498720055457878382940417478352843418434011329759467313472393136124250021536631114327305903935870162868930302016711000554105473662150229302417<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:54:07 UTC 2022 年 6 月 16 日 (木) 21 時 54 分 7 秒 (日本時間)

49×10205+59

c185

composite cofactor 合成数の残り
49854021683058990096904922404617141210430393619049368586524942146866891051162552174884776720258110266713236944842156963658465732976691224414272690598019247907623345738966777905211504033<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:54:15 UTC 2022 年 6 月 16 日 (木) 21 時 54 分 15 秒 (日本時間)

49×10210+59

c161

name 名前Dmitry Domanov
date 日付June 19, 2022 05:31:26 UTC 2022 年 6 月 19 日 (日) 14 時 31 分 26 秒 (日本時間)
composite number 合成数
70975156568809521347060002553039165798539952584768843415649534195048918883040531162783156047410289380931466270423371639661571892472521989908187608284079361933907<161>
prime factors 素因数
19552219674777012009662680484946945223<38>
composite cofactor 合成数の残り
3630030643547327809221103579248610100004282557972207664043253860623900683406849729108146047290199371727961725394009151820309<124>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1213616708
Step 1 took 7756ms
Step 2 took 3821ms
********** Factor found in step 2: 19552219674777012009662680484946945223
Found prime factor of 38 digits: 19552219674777012009662680484946945223
Composite cofactor 3630030643547327809221103579248610100004282557972207664043253860623900683406849729108146047290199371727961725394009151820309 has 124 digits

c124

name 名前Bob Backstrom
date 日付June 20, 2022 00:36:33 UTC 2022 年 6 月 20 日 (月) 9 時 36 分 33 秒 (日本時間)
composite number 合成数
3630030643547327809221103579248610100004282557972207664043253860623900683406849729108146047290199371727961725394009151820309<124>
prime factors 素因数
7636559468608597345673827150002669547054611461<46>
475348965521606763782469129589238172184260146455616953539291792190758039759569<78>
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 3630030643547327809221103579248610100004282557972207664043253860623900683406849729108146047290199371727961725394009151820309 (124 digits)
Using B1=16070000, B2=58558467250, polynomial Dickson(12), sigma=1:925949130
Step 1 took 23085ms
********** Factor found in step 1: 7636559468608597345673827150002669547054611461
Found prime factor of 46 digits: 7636559468608597345673827150002669547054611461
Prime cofactor 475348965521606763782469129589238172184260146455616953539291792190758039759569 has 78 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 16, 2022 12:54:23 UTC 2022 年 6 月 16 日 (木) 21 時 54 分 23 秒 (日本時間)
2350Ignacio SantosJune 19, 2022 16:20:41 UTC 2022 年 6 月 20 日 (月) 1 時 20 分 41 秒 (日本時間)
4511e64480Ignacio SantosJune 19, 2022 17:06:14 UTC 2022 年 6 月 20 日 (月) 2 時 6 分 14 秒 (日本時間)

49×10212+59

c130

name 名前Taiyo Kodama
date 日付April 27, 2022 00:55:49 UTC 2022 年 4 月 27 日 (水) 9 時 55 分 49 秒 (日本時間)
composite number 合成数
5516721686032116218908810691660571986630567141024685629622638680437206211826192306767087391891228035176446698256882095917273728841<130>
prime factors 素因数
501166508546117869403891627336777053921115857423121<51>
11007762074996002421628367727709081419256665549441513188610835664626760795867321<80>
factorization results 素因数分解の結果
501166508546117869403891627336777053921115857423121 11007762074996002421628367727709081419256665549441513188610835664626760795867321

n: 5516721686032116218908810691660571986630567141024685629622638680437206211826192306767087391891228035176446698256882095917273728841
skew: 65151.181
c0: 142792995333158260405660415133
c1: 11819186709593791644348150
c2: -276125854891850310733
c3: -2999059961756108
c4: 57633633090
c5: 128520
Y0: -13103442007309881000943870
Y1: 1743496463007013
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.702e-07
# f(x) = 128520*x^5+57633633090*x^4-2999059961756108*x^3-276125854891850310733*x^2+11819186709593791644348150*x+142792995333158260405660415133
# g(x) = 1743496463007013*x-13103442007309881000943870
software ソフトウェア
cado-nfs 3.0.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 24, 2022 19:08:38 UTC 2022 年 4 月 25 日 (月) 4 時 8 分 38 秒 (日本時間)

49×10214+59

c205

composite cofactor 合成数の残り
4080441417898936314557495218657308311510786001075087140989862259589810502846166868017859649233338330237729976638194205427123514115278029532165366210479774068666771648346740685151166302200744021051176814363<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10215+59

c195

composite cofactor 合成数の残り
233610524664474850171833446944304279523232414598201819178127576471911356513691485857554020025976114211296262160865272453771100183945862242640667964871499292394075315256411713905063259341309831217<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:54:31 UTC 2022 年 6 月 16 日 (木) 21 時 54 分 31 秒 (日本時間)

49×10216+59

c198

name 名前Dmitry Domanov
date 日付June 19, 2022 20:43:45 UTC 2022 年 6 月 20 日 (月) 5 時 43 分 45 秒 (日本時間)
composite number 合成数
439766184793078470809690902983118620538481525207434699346866230144154439163096642014548908449014562457806036926271942049567677597666917778699346162356107382613915015435263013642317753500750759559107<198>
prime factors 素因数
1125368410938206599380739025181959835389<40>
composite cofactor 合成数の残り
390775305685407057179271963911365779323759601755533419527872241659387043067375521819117595634641894583583748469853428232604891712230375902540954007616330966463<159>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4102599288
Step 1 took 10737ms
Step 2 took 4789ms
********** Factor found in step 2: 1125368410938206599380739025181959835389
Found prime factor of 40 digits: 1125368410938206599380739025181959835389
Composite cofactor 390775305685407057179271963911365779323759601755533419527872241659387043067375521819117595634641894583583748469853428232604891712230375902540954007616330966463 has 159 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:54:38 UTC 2022 年 6 月 16 日 (木) 21 時 54 分 38 秒 (日本時間)

49×10217+59

c190

composite cofactor 合成数の残り
2914921791736723659211833049263836468158695229096794422886238497390409071061679373822195563794386160750983886224925846188688913450882890430518545736400449390029730529213556510142784859063331<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:54:45 UTC 2022 年 6 月 16 日 (木) 21 時 54 分 45 秒 (日本時間)

49×10221+59

c215

composite cofactor 合成数の残り
10151383753246876069617899740231269031837567335656322126941127143150038394501480201233159022679879749194112201566538751980387360851849431402868509654530490577117871539065689221000731075725666229359556553581598267627<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10222+59

c204

composite cofactor 合成数の残り
147354220332574825240074728397741089498284189292471644815368940269290822496966196830811368882545744540103637354562204890761236998369867930233752573970579112512882381067645794833608555091832374530963032527<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10223+59

c221

composite cofactor 合成数の残り
89990817263544536271808999081726354453627180899908172635445362718089990817263544536271808999081726354453627180899908172635445362718089990817263544536271808999081726354453627180899908172635445362718089990817263544536271809<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10225+59

c176

composite cofactor 合成数の残り
46060011494119208801519832574707547722151238583162120009459089837044407407776202954441722211798677573826779188695241596929744099994109113636192399696474450707238642632992966691<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:54:53 UTC 2022 年 6 月 16 日 (木) 21 時 54 分 53 秒 (日本時間)

49×10226+59

c200

composite cofactor 合成数の残り
16295103707160240631556395568311166164985197271121274170472103653511053011335040369228014516255664987983469502526328830017512046208366644520293800579142282461059655210566516786905942007157090647645423<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:55:00 UTC 2022 年 6 月 16 日 (木) 21 時 55 分 0 秒 (日本時間)

49×10230+59

c216

composite cofactor 合成数の残り
154284682631451563168442954189369617863822598365624326744251905487614736079269975777658266333107471453614918651847524867600317217803815429940887951488041566389136603362896382435547987678537145282596177175799473830769<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10231+59

c193

composite cofactor 合成数の残り
2433717701069067486750423596806003944242911689006567635307444900679202238742282589897973839996560146649949529158327184121879019153731281228565602355102021425641874398773488354557450192428024289<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:55:09 UTC 2022 年 6 月 16 日 (木) 21 時 55 分 9 秒 (日本時間)

49×10237+59

c171

composite cofactor 合成数の残り
389446341273120041492728730645200098336123534030408757080965778066125510154251772578565873431410185845314926513709492101307525947787013047927576905802485189172460276829769<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:55:17 UTC 2022 年 6 月 16 日 (木) 21 時 55 分 17 秒 (日本時間)

49×10239+59

c131

name 名前Eric JEANCOLAS
date 日付May 7, 2022 09:07:37 UTC 2022 年 5 月 7 日 (土) 18 時 7 分 37 秒 (日本時間)
composite number 合成数
15572868912781204642134056164889529281354464940054125831811244867762373228547105310191854314721844446828988047323842045078483199809<131>
prime factors 素因数
58339143784495934381038913082415125516314008225481<50>
266936878098643119206971215494598352941486295845504569745822764200632132696572089<81>
factorization results 素因数分解の結果
15572868912781204642134056164889529281354464940054125831811244867762373228547105310191854314721844446828988047323842045078483199809=58339143784495934381038913082415125516314008225481*266936878098643119206971215494598352941486295845504569745822764200632132696572089

cado polynomial
n: 15572868912781204642134056164889529281354464940054125831811244867762373228547105310191854314721844446828988047323842045078483199809
skew: 77040.9
c0: 39507488248484517613674839532
c1: -10682678709828951046751964
c2: -671423216775346386851
c3: 3143623365609167
c4: 29804593380
c5: 176400
Y0: -12864963176718232857796535
Y1: 155525767119176443
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.229e-07
# f(x) = 176400*x^5+29804593380*x^4+3143623365609167*x^3-671423216775346386851*x^2-10682678709828951046751964*x+39507488248484517613674839532
# g(x) = 155525767119176443*x-12864963176718232857796535

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: 266936878098643119206971215494598352941486295845504569745822764200632132696572089 58339143784495934381038913082415125516314008225481
Info:Square Root: Total cpu/real time for sqrt: 792.42/234.998
Info:Filtering - Singleton removal: Total cpu/real time for purge: 248.69/277.244
Info:Linear Algebra: Total cpu/real time for bwc: 59019.2/15165.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 37798.54, WCT time 9657.62, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (59136 iterations)
Info:Linear Algebra: Lingen CPU time 375.68, WCT time 95.58
Info:Linear Algebra: Mksol: CPU time 20491.6,  WCT time 5264.63, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29696 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24465330
Info:Lattice Sieving: Average J: 7669.36 for 76010 special-q, max bucket fill -bkmult 1.0,1s:1.070050
Info:Lattice Sieving: Total time: 103148s
Info:Generate Factor Base: Total cpu/real time for makefb: 39.17/10.3759
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5645.05
Info:Polynomial Selection (root optimized): Rootsieve time: 5642.53
Info:Generate Free Relations: Total cpu/real time for freerel: 254.73/64.6193
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 104.58/121.148
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 120.6s
Info:Filtering - Merging: Merged matrix has 1889303 rows and total weight 321215578 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 484.85/136.736
Info:Filtering - Merging: Total cpu/real time for replay: 76/64.8073
Info:Quadratic Characters: Total cpu/real time for characters: 74.57/32.0617
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): 38943/38.450/46.490/50.680/0.842
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30908/37.860/41.766/47.300/1.024
Info:Polynomial Selection (size optimized): Total time: 4916.42
Info:Square Root: Total cpu/real time for sqrt: 792.42/234.998
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 384.96/362.573
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 311.49999999999994s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 266059/71134.9
Info:root: Cleaning up computation data in /tmp/cado.kzhv34on
266936878098643119206971215494598352941486295845504569745822764200632132696572089 58339143784495934381038913082415125516314008225481
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 24, 2022 19:09:18 UTC 2022 年 4 月 25 日 (月) 4 時 9 分 18 秒 (日本時間)
4511e64480Ignacio SantosApril 30, 2022 09:12:51 UTC 2022 年 4 月 30 日 (土) 18 時 12 分 51 秒 (日本時間)

49×10240+59

c176

composite cofactor 合成数の残り
10354623228558613566465796006762388663895713128134851158853418639586648353841964952441759963274578258775090612460935327519811781526423432434902197066157962422921884850233761627<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:55:25 UTC 2022 年 6 月 16 日 (木) 21 時 55 分 25 秒 (日本時間)

49×10241+59

c185

composite cofactor 合成数の残り
53146830762964835071561644463555947771580366358787871791230284358856933642711173807332050372851487945265662105030241758777276443203236561998804586852759767089489519951372632378158084713<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:55:33 UTC 2022 年 6 月 16 日 (木) 21 時 55 分 33 秒 (日本時間)

49×10242+59

c227

composite cofactor 合成数の残り
13607585489184629073130655176366850481154947366554009811550660819889308503825135669636351303084373461618451149327580860033324290559861584438263747896360992903549453204371827725106605571477617606670193934863768859577374271031321<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10243+59

c199

composite cofactor 合成数の残り
1413733605228664899338051023595052464181729990418328828100476995233955441168291938913110100629558711036952849742900275013201859692890261793489145383394108527212400111609745827477088959643319705808843<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:55:41 UTC 2022 年 6 月 16 日 (木) 21 時 55 分 41 秒 (日本時間)

49×10245+59

c240

composite cofactor 合成数の残り
178164358074726858586040386223968232931354545436365418007217110904949496767498603318692949909090727290543708534745413131331311349669550565862727270909269073448983817767676949477133059142022263636345456327098126201814040405858407694227783859<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10246+59

c167

name 名前Ignacio Santos
date 日付April 24, 2022 21:29:39 UTC 2022 年 4 月 25 日 (月) 6 時 29 分 39 秒 (日本時間)
composite number 合成数
63036181587530171510231053215928902448229420865059300878993866446775571068112315333289655215947007926077717197514490513212090812266930558123913829899298158442272963023<167>
prime factors 素因数
18865778163675104994903586090843681<35>
composite cofactor 合成数の残り
3341297721230628080568737164934543018860251053253928141848177254737159502024838984014965242607986342714379287559389917307125822937583<133>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2787967192
Step 1 took 5047ms
Step 2 took 2969ms
********** Factor found in step 2: 18865778163675104994903586090843681
Found prime factor of 35 digits: 18865778163675104994903586090843681
Composite cofactor 3341297721230628080568737164934543018860251053253928141848177254737159502024838984014965242607986342714379287559389917307125822937583 has 133 digits
 
software ソフトウェア
GMP-ECM

c133

name 名前Eric Jeancolas
date 日付May 8, 2022 09:03:22 UTC 2022 年 5 月 8 日 (日) 18 時 3 分 22 秒 (日本時間)
composite number 合成数
3341297721230628080568737164934543018860251053253928141848177254737159502024838984014965242607986342714379287559389917307125822937583<133>
prime factors 素因数
14691890623034965055486289664388522638447990846723<50>
227424625391092265683483027833028925498779890749482467619706635215464765303725286821<84>
factorization results 素因数分解の結果
3341297721230628080568737164934543018860251053253928141848177254737159502024838984014965242607986342714379287559389917307125822937583=14691890623034965055486289664388522638447990846723*227424625391092265683483027833028925498779890749482467619706635215464765303725286821

cado polynomial
n: 3341297721230628080568737164934543018860251053253928141848177254737159502024838984014965242607986342714379287559389917307125822937583
skew: 247630.701
c0: -12939685551881509770118077431760
c1: -172597048119905803014079020
c2: 888348881324706609674
c3: -897843245448830
c4: 6168946151
c5: 21000
Y0: -43567062841911927287103107
Y1: 2043413669380001669
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.536e-07
# f(x) = 21000*x^5+6168946151*x^4-897843245448830*x^3+888348881324706609674*x^2-172597048119905803014079020*x-12939685551881509770118077431760
# g(x) = 2043413669380001669*x-43567062841911927287103107

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

cado log (extracts)
Info:Square Root: Factors: 227424625391092265683483027833028925498779890749482467619706635215464765303725286821 14691890623034965055486289664388522638447990846723
Info:Square Root: Total cpu/real time for sqrt: 376.34/113.251
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 191.63/160.739
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 148.7s
Info:Square Root: Total cpu/real time for sqrt: 376.34/113.251
Info:Filtering - Singleton removal: Total cpu/real time for purge: 98.51/105.62
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17017719
Info:Lattice Sieving: Average J: 3788.09 for 508472 special-q, max bucket fill -bkmult 1.0,1s:1.291480
Info:Lattice Sieving: Total time: 171605s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.17/4.0257
Info:Linear Algebra: Total cpu/real time for bwc: 21619.6/5551.84
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 13705.05, WCT time 3507.84, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37120 iterations)
Info:Linear Algebra: Lingen CPU time 228.02, WCT time 57.79
Info:Linear Algebra: Mksol: CPU time 7487.36,  WCT time 1913.17, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (18688 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 74.5/87.0049
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 86.9s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5722.42
Info:Polynomial Selection (root optimized): Rootsieve time: 5719.92
Info:Generate Free Relations: Total cpu/real time for freerel: 248.55/62.9599
Info:Filtering - Merging: Merged matrix has 1186730 rows and total weight 202639584 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 301.15/84.0034
Info:Filtering - Merging: Total cpu/real time for replay: 43.6/36.567
Info:Quadratic Characters: Total cpu/real time for characters: 39.56/16.4332
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54261/39.950/47.612/55.650/0.976
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44405/38.540/42.394/48.200/0.962
Info:Polynomial Selection (size optimized): Total time: 11197.6
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 361242/97052.4
Info:root: Cleaning up computation data in /tmp/cado.pg54uder
227424625391092265683483027833028925498779890749482467619706635215464765303725286821 14691890623034965055486289664388522638447990846723
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 25, 2022 17:38:04 UTC 2022 年 4 月 26 日 (火) 2 時 38 分 4 秒 (日本時間)
4511e64480Ignacio SantosApril 30, 2022 08:26:54 UTC 2022 年 4 月 30 日 (土) 17 時 26 分 54 秒 (日本時間)

49×10247+59

c231

composite cofactor 合成数の残り
183975426387090511684367514694703513232524525995473719418369244009963915621919793001242881310305449177206264541884831364323999170720910295742005449411667944643297730779745252629511463191658358954427327437993604828219332667319781387<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10248+59

c207

composite cofactor 合成数の残り
444439203357685613260031979269855012601626213015967094733822727214955036278371029675238480098329984077681368418426199379639484942466373166011942563039434712691151982196686712748185373613573275909631392503543<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10249+59

c225

composite cofactor 合成数の残り
941878853324624303114151873221377260340529541755529262069392015445443372777254924323570858708924488089722532475890022634557205588125731177430135175563164004669172374260069058957578340707010696927434701211219857237440966471329<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10250+59

c201

composite cofactor 合成数の残り
550071934183498257038199453896851809631940686584439328140995709517538479618900182674522679286410714508833960606224235120511361518621943676919998376658637619997031759217002981744551547442598313479516487<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10251+59

c221

composite cofactor 合成数の残り
26350449319531873217347285279940429946763154978288745007922547491677051803121290486000803763360220693959218453866651191912992647080858537355325978067979166515779457187127065579980691008174219562690567731608021963064361737<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10252+59

c228

composite cofactor 合成数の残り
436268658094373009506536892384887929147934492004797953707438395038220634438509644504173381420534532592571551059124069660281044688025363199752914366129055495830564902803982629936799992150942057757212306784538948467984349383196969<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10253+59

c159

composite cofactor 合成数の残り
148470968940117337950403284006327661776715351385304702946619690316447297732775096489265238416050104277389942631266312916415084852694775727901062171141445123889<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 24, 2022 20:46:45 UTC 2022 年 4 月 25 日 (月) 5 時 46 分 45 秒 (日本時間)
4511e64480Ignacio SantosApril 30, 2022 21:30:24 UTC 2022 年 5 月 1 日 (日) 6 時 30 分 24 秒 (日本時間)

49×10254+59

c212

composite cofactor 合成数の残り
69362178501653681696240561872357210425900868081033541722159278235629494822213613283999402685124384271261286835854472180872891825258709276477678656553712463786057024841935248531256630743300324887153339957066896923<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10256+59

c234

composite cofactor 合成数の残り
972996418104095180165095047508641708991651081349944433939031658345351928223513799034747903000276267368770874547715723232833372512053502890803832262416601074770582134315414443441179641752300507237963088433014008512423128029803177285869<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10257+59

c222

composite cofactor 合成数の残り
239634585559360861939408908023247499417842668181836092856428982463028369746022236651131063344308488527271760433898595189386749251909720919144411581963271381830236203909428957729407130318100067525389608790675594081212323347<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10258+59

c245

composite cofactor 合成数の残り
15059989583857887409991924699750557823713340562267257040748087301794215721609600550762988139634586450803111625544389327873994878636819387112570041757167035506323596958304951735175111258125355564277950630608327852468671668373871791609368636356129<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10259+59

c225

composite cofactor 合成数の残り
137098661928282275009251126969575555717001881236481595892953038202291975683741121635682512957985224074268385597694229121331579137561838580013991227379100136020164903552489062683250660264864507594908729366816509061646562473339<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10260+59

c250

composite cofactor 合成数の残り
4791319547827904433863762633170576779114686015947486642431146953587859280310328139952459525278409783468580427363819754233513694606565416191132888970886416915255538469818097146153443058590647663353322198726482442892106457103609211937414713920161803343<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 16, 2022 12:57:16 UTC 2022 年 6 月 16 日 (木) 21 時 57 分 16 秒 (日本時間)

49×10261+59

c228

composite cofactor 合成数の残り
310317129516382260716309575508056480360629983121692018186162529708139580023464149693330086256512702385487493243246670577479521570593148544366569045687155363788497802143135247790799184974661482607582871109047116538166316240920219<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10262+59

c213

composite cofactor 合成数の残り
494173152931899346426595558965696563865754350857328976216921341784484362105059213642227113868049585719413145632805842789112661035767313624223614040958680952702612401020629574912132347616896632263179785569041521129<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10263+59

c195

composite cofactor 合成数の残り
258774182109529299840451044352077882647964875300238442486226055579473175461434770895019592266873787016549412171165883567907580730560386513222059975140251991092569944741648032018409859664968636793<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:55:52 UTC 2022 年 6 月 16 日 (木) 21 時 55 分 52 秒 (日本時間)

49×10264+59

c233

composite cofactor 合成数の残り
63737750592859129961692647523282091117023660141782206145513691419216779117665524967363600622939892809271292662729106146650905572950719404374340839795748746470710710813875812807776487475539824834545736596510768136986228194339936646621<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10266+59

c224

composite cofactor 合成数の残り
13177957116679490620922079032968093500866959181784441215155167459775159286733101352612329558069093332879927704462356161686441413888751608327453316448203942209493188392351124877007377181763703296066740627687545650868150223489<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10267+59

c240

composite cofactor 合成数の残り
128170825911102601919230722027104875487479776594331810203777858186217860854809443231142535228940718212560150580947974167148613782671823115299897998862407818038028678757875437822764681701645916609011372121553140747989528904127011635278075289<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10268+59

c257

composite cofactor 合成数の残り
13663550262739424321562478484597208279237141967711148389106455620463975813930989504878537547642020626190928086540969527798991216535677945068910545903706525662848931690638116899847033730594620031162956166976843155901388494535567157586656145072814109085151963<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 16, 2022 12:57:08 UTC 2022 年 6 月 16 日 (木) 21 時 57 分 8 秒 (日本時間)

49×10269+59

c210

composite cofactor 合成数の残り
165953068520534416059801761147094114999231628016175903863055381869377249691613076684672679803455572128491810492021302190568090371488505575978407510343089176286153813266891720329747770562120668904339716780444609<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10270+59

c257

composite cofactor 合成数の残り
98917453539826698193156387774133404883710560574670374235601620951046657452634370673235068882832327381994004394902462005921561115699245495061394130635246721654563013268351175757863684595314442588520886146265143783813286258074288207242485051197357343858611623<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 16, 2022 12:57:01 UTC 2022 年 6 月 16 日 (木) 21 時 57 分 1 秒 (日本時間)

49×10271+59

c224

composite cofactor 合成数の残り
72685906061748568687257251741371975198039349454538744182807624463309753575939395596743466114515408632367169966726015067155940777196042565933402733026371583176045702447878251171605134143590288530238192868892483110430343263089<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10272+59

c215

composite cofactor 合成数の残り
86354755056090265194673183155568718465747120758210250307344522229805532438282913175387455614866809493216238665317729079922397487303755891747802497228339925873861948990489974893095143481061504635771043749087484253721<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10273+59

c192

composite cofactor 合成数の残り
610333233475048312152162323272868655429661300257092420931154018740928937143353563273073009223453914712671292485334185152318084920914550902967171587164302578000402034531861535745303337453865683<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:56:01 UTC 2022 年 6 月 16 日 (木) 21 時 56 分 1 秒 (日本時間)

49×10274+59

c231

composite cofactor 合成数の残り
726179329655456207821796328159373535650133139740977457458947613395256048701548884038404604215185261476336640306385884951884652243491826578251958284911028441615128732973475320457052127733532670496191955286367092542908461937099966807<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10275+59

c246

composite cofactor 合成数の残り
118629565176210655296822425974861949893866955002941232659677237213184470322765518770286380405509507323438919475894806256403901020145555127607470725898004444698184988306793101763808820851995607733725697978288315309674641302071461537091503055373467<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10276+59

c226

composite cofactor 合成数の残り
3380689457661853158891070590739649777513868966669795161218070183070177290831973553572781568587405714390341980497252291535141619504331415025930697953290130719368678377406519825300452196771025211376797285920523627906431224222423<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10279+59

c254

composite cofactor 合成数の残り
45233444583475895534301734065694051166581965533492644905426115705861613833011695789926055202779600649074998835187570938588181013114495810506376554596696935159046976481159336173048453803669878007448651076591890520320905354917664300238806648872637427129771<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 16, 2022 12:56:51 UTC 2022 年 6 月 16 日 (木) 21 時 56 分 51 秒 (日本時間)

49×10281+59

c227

composite cofactor 合成数の残り
76541443496523546496833456635713222636358453724497591474695036311886983019149507668350458117415517983650567564694485351666042210585190211442150081632989143052582470316744918008352088192321650299995217921745154739536022829046611<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

49×10286+59

c283

composite cofactor 合成数の残り
1020610074879453452890513533497880671936347257370783474448297768196540340133929036356630320450734735110028014705116589079472198789848054071505191572676810281084346132616823403213880297018360566959310984055571177138334322700242655252496849647472948625821434894450172358129992397496381<283>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 28, 2022 22:01:19 UTC 2022 年 5 月 29 日 (日) 7 時 1 分 19 秒 (日本時間)

49×10287+59

c270

composite cofactor 合成数の残り
181498985070070252824825067455200481762823721084492036816960104866530676797475810228466204809539464978386839783383566412047278056125712648595997659736921495938743171076898248079260754530894836680716842128013846162206037260268121536707715967151423709640553733658899313483<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 28, 2022 22:01:27 UTC 2022 年 5 月 29 日 (日) 7 時 1 分 27 秒 (日本時間)

49×10290+59

c278

composite cofactor 合成数の残り
55033138566738781239896551867470565022858980846973742554626398543170315707379632080226402288448674016322244031743728890236806227617973264627025059877343320838042890952204692299543298848377688653391224252210281780845961552471989361042090874249866557337914499928349730218799627721<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 28, 2022 22:01:36 UTC 2022 年 5 月 29 日 (日) 7 時 1 分 36 秒 (日本時間)

49×10292+59

c284

composite cofactor 合成数の残り
21209440986081692399084787776105419848711252479566799124322000965182359410963674309722679120653036038945560720805423015648710575811830196236368378735616433174170827568885917757855667618861706239530583025606906709194089035190660550264701430770081773910862108897737783645668290134020763<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 28, 2022 22:01:44 UTC 2022 年 5 月 29 日 (日) 7 時 1 分 44 秒 (日本時間)

49×10293+59

c188

composite cofactor 合成数の残り
15358355651858598146920924483830962996451260123278649286125299222543509735822359160885256994385150449421296316450556995646778922783697497284283070146932754525853823110428647711795408569801<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 24, 2022 21:54:22 UTC 2022 年 4 月 25 日 (月) 6 時 54 分 22 秒 (日本時間)
4511e64480Ignacio SantosMay 1, 2022 15:35:12 UTC 2022 年 5 月 2 日 (月) 0 時 35 分 12 秒 (日本時間)

49×10294+59

c277

composite cofactor 合成数の残り
1395984089945795227783962656410278494328200073863338262995357097025810194706680525373104743625205358479865918786996398942845748104611378424977878319852815373153651933171821937957074567206215618233784370554401008900811089706174971065277090327658338283887388207531740779196063027<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 28, 2022 22:01:53 UTC 2022 年 5 月 29 日 (日) 7 時 1 分 53 秒 (日本時間)

49×10296+59

c273

composite cofactor 合成数の残り
600814578237799356474953714880228675836112896793492426444416700526433524109691310292434307619674249183753008629173057636099620028495444178079395557311594657183775285216707140910487132723904015648544112606135704162922208774294500370961547124193198165347217664997406963483489<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 28, 2022 22:02:01 UTC 2022 年 5 月 29 日 (日) 7 時 2 分 1 秒 (日本時間)

49×10297+59

c273

composite cofactor 合成数の残り
384925898119970794447198611269311527037387681881209046210331190021142236822392433906824278374255940624371553040665352745885638811112591643932640045975251567091816334586312904125186596473233219161581499092188674876554153371674228817480175098658786141503991261051608076785433<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 28, 2022 22:02:10 UTC 2022 年 5 月 29 日 (日) 7 時 2 分 10 秒 (日本時間)

49×10298+59

c201

composite cofactor 合成数の残り
102119941910012771351725407656994442485713876124110570310468206120766771350470747736275114577886990546519013844354932402660244064519170106165269071558330155415122058315813341266023387232481781676338363<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 25, 2022 18:13:19 UTC 2022 年 4 月 26 日 (火) 3 時 13 分 19 秒 (日本時間)
4511e64480Ignacio SantosMay 2, 2022 14:51:20 UTC 2022 年 5 月 2 日 (月) 23 時 51 分 20 秒 (日本時間)
5043e66453Florian PieskerMay 8, 2022 18:42:27 UTC 2022 年 5 月 9 日 (月) 3 時 42 分 27 秒 (日本時間)

49×10300+59

c287

composite cofactor 合成数の残り
19903245981443927255691220758232745899221234490561204339002753929268160213214177714387354528093511444402539647926100806993288474414752066440029182792553934169449085824387106884364675254391448104213238768836511305305333693737474926263072378223906962227752054552238137363964029849571342641<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovApril 24, 2022 16:30:05 UTC 2022 年 4 月 25 日 (月) 1 時 30 分 5 秒 (日本時間)
4511e63584Dmitry DomanovApril 28, 2022 23:12:06 UTC 2022 年 4 月 29 日 (金) 8 時 12 分 6 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovApril 28, 2022 23:12:06 UTC 2022 年 4 月 29 日 (金) 8 時 12 分 6 秒 (日本時間)