Table of contents 目次

11×10107+79

c105

name 名前Sinkiti Sibata
date 日付January 31, 2008 03:59:03 UTC 2008 年 1 月 31 日 (木) 12 時 59 分 3 秒 (日本時間)
composite number 合成数
331225534477566997892201144233664558867810900331225534477566997892201144233664558867810900331225534477567<105>
prime factors 素因数
1292550447331944890025042849241722436631493391<46>
256257336153707341238146911505259598651293150772733923813137<60>
factorization results 素因数分解の結果
Number: 12223_107
N=331225534477566997892201144233664558867810900331225534477566997892201144233664558867810900331225534477567
  ( 105 digits)
SNFS difficulty: 108 digits.
Divisors found:
 r1=1292550447331944890025042849241722436631493391 (pp46)
 r2=256257336153707341238146911505259598651293150772733923813137 (pp60)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.02 hours.
Scaled time: 1.37 units (timescale=0.676).
Factorization parameters were as follows:
name: 12223_107
n: 331225534477566997892201144233664558867810900331225534477566997892201144233664558867810900331225534477567
m: 1000000000000000000000
c5: 1100
c0: 7
skew: 0.36
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 500001)
Primes: RFBsize:49098, AFBsize:64124, largePrimes:2429252 encountered
Relations: rels:3033429, finalFF:718930
Max relations in full relation-set: 28
Initial matrix: 113289 x 718930 with sparse part having weight 53214391.
Pruned matrix : 57627 x 58257 with weight 4923663.
Total sieving time: 1.84 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,108,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.02 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

11×10110+79

c100

name 名前Sinkiti Sibata
date 日付February 2, 2008 01:40:17 UTC 2008 年 2 月 2 日 (土) 10 時 40 分 17 秒 (日本時間)
composite number 合成数
4590539129976747396207516622062302388438943934694827013914981750655415827841212558189152724567910703<100>
prime factors 素因数
192974421658293224031417306264104681<36>
23788329512941257985749836483187483343956508948136539261231691863<65>
factorization results 素因数分解の結果
Fri Feb  1 13:49:44 2008  Msieve v. 1.33
Fri Feb  1 13:49:44 2008  random seeds: a1488afa bb05cf89
Fri Feb  1 13:49:44 2008  factoring 4590539129976747396207516622062302388438943934694827013914981750655415827841212558189152724567910703 (100 digits)
Fri Feb  1 13:49:45 2008  searching for 15-digit factors
Fri Feb  1 13:49:47 2008  commencing quadratic sieve (100-digit input)
Fri Feb  1 13:49:48 2008  using multiplier of 23
Fri Feb  1 13:49:48 2008  using 64kb Pentium 4 sieve core
Fri Feb  1 13:49:48 2008  sieve interval: 18 blocks of size 65536
Fri Feb  1 13:49:48 2008  processing polynomials in batches of 6
Fri Feb  1 13:49:48 2008  using a sieve bound of 2751493 (99912 primes)
Fri Feb  1 13:49:48 2008  using large prime bound of 412723950 (28 bits)
Fri Feb  1 13:49:48 2008  using double large prime bound of 3222459040502850 (43-52 bits)
Fri Feb  1 13:49:48 2008  using trial factoring cutoff of 52 bits
Fri Feb  1 13:49:48 2008  polynomial 'A' values have 13 factors
Sat Feb  2 10:18:44 2008  100088 relations (23581 full + 76507 combined from 1507071 partial), need 100008
Sat Feb  2 10:18:50 2008  begin with 1530652 relations
Sat Feb  2 10:18:52 2008  reduce to 264655 relations in 12 passes
Sat Feb  2 10:18:52 2008  attempting to read 264655 relations
Sat Feb  2 10:19:02 2008  recovered 264655 relations
Sat Feb  2 10:19:02 2008  recovered 256120 polynomials
Sat Feb  2 10:19:02 2008  attempting to build 100088 cycles
Sat Feb  2 10:19:03 2008  found 100088 cycles in 6 passes
Sat Feb  2 10:19:03 2008  distribution of cycle lengths:
Sat Feb  2 10:19:03 2008     length 1 : 23581
Sat Feb  2 10:19:03 2008     length 2 : 16969
Sat Feb  2 10:19:03 2008     length 3 : 16869
Sat Feb  2 10:19:03 2008     length 4 : 13612
Sat Feb  2 10:19:03 2008     length 5 : 10500
Sat Feb  2 10:19:03 2008     length 6 : 7350
Sat Feb  2 10:19:03 2008     length 7 : 4635
Sat Feb  2 10:19:03 2008     length 9+: 6572
Sat Feb  2 10:19:03 2008  largest cycle: 20 relations
Sat Feb  2 10:19:03 2008  matrix is 99912 x 100088 (28.1 MB) with weight 6958780 (69.53/col)
Sat Feb  2 10:19:03 2008  sparse part has weight 6958780 (69.53/col)
Sat Feb  2 10:19:06 2008  filtering completed in 4 passes
Sat Feb  2 10:19:06 2008  matrix is 96049 x 96113 (27.1 MB) with weight 6726665 (69.99/col)
Sat Feb  2 10:19:06 2008  sparse part has weight 6726665 (69.99/col)
Sat Feb  2 10:19:07 2008  saving the first 48 matrix rows for later
Sat Feb  2 10:19:07 2008  matrix is 96001 x 96113 (17.4 MB) with weight 5308583 (55.23/col)
Sat Feb  2 10:19:07 2008  sparse part has weight 3978156 (41.39/col)
Sat Feb  2 10:19:07 2008  matrix includes 64 packed rows
Sat Feb  2 10:19:07 2008  using block size 21845 for processor cache size 512 kB
Sat Feb  2 10:19:08 2008  commencing Lanczos iteration
Sat Feb  2 10:19:08 2008  memory use: 16.5 MB
Sat Feb  2 10:20:46 2008  lanczos halted after 1520 iterations (dim = 95999)
Sat Feb  2 10:20:47 2008  recovered 16 nontrivial dependencies
Sat Feb  2 10:20:50 2008  prp36 factor: 192974421658293224031417306264104681
Sat Feb  2 10:20:50 2008  prp65 factor: 23788329512941257985749836483187483343956508948136539261231691863
Sat Feb  2 10:20:50 2008  elapsed time 20:31:06
execution environment 実行環境
例:Pentium 4 2.4GHz, Windows XP and Cygwin)

11×10111+79

c102

name 名前Sinkiti Sibata
date 日付January 31, 2008 08:50:32 UTC 2008 年 1 月 31 日 (木) 17 時 50 分 32 秒 (日本時間)
composite number 合成数
733580981910002956557433418100543110341193062221538415376826614702633534804661090144229597601266108117<102>
prime factors 素因数
235975824491022308928990780915762844819<39>
3108712443286375789320997869432868788061093950925051865679921143<64>
factorization results 素因数分解の結果
Number: 12223_111
N=733580981910002956557433418100543110341193062221538415376826614702633534804661090144229597601266108117
  ( 102 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=235975824491022308928990780915762844819 (pp39)
 r2=3108712443286375789320997869432868788061093950925051865679921143 (pp64)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 1.79 hours.
Scaled time: 1.21 units (timescale=0.676).
Factorization parameters were as follows:
name: 12223_111
n: 733580981910002956557433418100543110341193062221538415376826614702633534804661090144229597601266108117
m: 10000000000000000000000
c5: 110
c0: 7
skew: 0.58
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 500001)
Primes: RFBsize:49098, AFBsize:64059, largePrimes:2021282 encountered
Relations: rels:2053022, finalFF:193864
Max relations in full relation-set: 28
Initial matrix: 113224 x 193864 with sparse part having weight 15557092.
Pruned matrix : 89133 x 89763 with weight 4789183.
Total sieving time: 1.58 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,112,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.79 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

11×10113+79

c108

name 名前Robert Backstrom
date 日付January 31, 2008 07:41:28 UTC 2008 年 1 月 31 日 (木) 16 時 41 分 28 秒 (日本時間)
composite number 合成数
122425816354820288361767842143707207307975385287956093205222507251781935581093580847171067707820327426732879<108>
prime factors 素因数
2619324426169291429122454074993428764646076844357<49>
46739462714767849044740338669006128168735950121361654313347<59>
factorization results 素因数分解の結果
Number: n
N=122425816354820288361767842143707207307975385287956093205222507251781935581093580847171067707820327426732879
  ( 108 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=2619324426169291429122454074993428764646076844357 (pp49)
 r2=46739462714767849044740338669006128168735950121361654313347 (pp59)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.28 hours.
Scaled time: 1.86 units (timescale=1.448).
Factorization parameters were as follows:
name: KA_1_2_112_3
n: 122425816354820288361767842143707207307975385287956093205222507251781935581093580847171067707820327426732879
skew: 0.23
deg: 5
c5: 11000
c0: 7
m: 10000000000000000000000
type: snfs
rlim: 1000000
alim: 1000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 200001)
Primes: RFBsize:78498, AFBsize:78252, largePrimes:4124095 encountered
Relations: rels:3582159, finalFF:227837
Max relations in full relation-set: 28
Initial matrix: 156817 x 227837 with sparse part having weight 11132713.
Pruned matrix : 101119 x 101967 with weight 3888696.
Total sieving time: 1.12 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.07 hours.
Total square root time: 0.02 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,114,5,0,0,0,0,0,0,0,0,1000000,1000000,28,28,48,48,2.5,2.5,50000
total time: 1.28 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

11×10114+79

c98

name 名前Sinkiti Sibata
date 日付January 31, 2008 11:38:05 UTC 2008 年 1 月 31 日 (木) 20 時 38 分 5 秒 (日本時間)
composite number 合成数
66009619638905539253901637431935754347497426208831751373830011892396353837800790236691341428997441<98>
prime factors 素因数
6707176161219300156417206391262616855238919<43>
9841640960702845903948148581547115321867466062969048439<55>
factorization results 素因数分解の結果
Number: 12223_114
N=66009619638905539253901637431935754347497426208831751373830011892396353837800790236691341428997441
  ( 98 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=6707176161219300156417206391262616855238919 (pp43)
 r2=9841640960702845903948148581547115321867466062969048439 (pp55)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.23 hours.
Scaled time: 1.51 units (timescale=0.676).
Factorization parameters were as follows:
name: 12223_114
n: 66009619638905539253901637431935754347497426208831751373830011892396353837800790236691341428997441
m: 100000000000000000000000
c5: 11
c0: 70
skew: 1.45
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 550001)
Primes: RFBsize:49098, AFBsize:63989, largePrimes:2303070 encountered
Relations: rels:2648109, finalFF:464927
Max relations in full relation-set: 28
Initial matrix: 113152 x 464927 with sparse part having weight 38989712.
Pruned matrix : 65830 x 66459 with weight 5847898.
Total sieving time: 2.03 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.23 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

11×10117+79

c107

name 名前Robert Backstrom
date 日付January 31, 2008 08:20:55 UTC 2008 年 1 月 31 日 (木) 17 時 20 分 55 秒 (日本時間)
composite number 合成数
26056382056363416603623427346255263209235340643419705748369477283704788210578051889509018585074773820852209<107>
prime factors 素因数
199547644984836153697911566023<30>
130577246643745005872051606673712223079810458974387218354742399714928811490183<78>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 26056382056363416603623427346255263209235340643419705748369477283704788210578051889509018585074773820852209 (107 digits)
Using B1=502000, B2=314485411, polynomial Dickson(3), sigma=1772421864
Step 1 took 4922ms
Step 2 took 2922ms
********** Factor found in step 2: 199547644984836153697911566023
Found probable prime factor of 30 digits: 199547644984836153697911566023
Probable prime cofactor 130577246643745005872051606673712223079810458974387218354742399714928811490183 has 78 digits

11×10122+79

c110

name 名前Jo Yeong Uk
date 日付January 31, 2008 14:20:11 UTC 2008 年 1 月 31 日 (木) 23 時 20 分 11 秒 (日本時間)
composite number 合成数
58086897521216703275912831000039986472494161953461626501002431196310592545468815762540152169182614030699413029<110>
prime factors 素因数
48431758142731886716282698692789115637<38>
1199355541668143121502827815414108595405173439839162449118989915332245617<73>
factorization results 素因数分解の結果
Number: 12223_122
N=58086897521216703275912831000039986472494161953461626501002431196310592545468815762540152169182614030699413029
  ( 110 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=48431758142731886716282698692789115637 (pp38)
 r2=1199355541668143121502827815414108595405173439839162449118989915332245617 (pp73)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.53 hours.
Scaled time: 2.85 units (timescale=1.857).
Factorization parameters were as follows:
n: 58086897521216703275912831000039986472494161953461626501002431196310592545468815762540152169182614030699413029
m: 1000000000000000000000000
c5: 1100
c0: 7
skew: 0.36
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [400000, 720001)
Primes: RFBsize:63951, AFBsize:64124, largePrimes:1449343 encountered
Relations: rels:1472423, finalFF:194913
Max relations in full relation-set: 28
Initial matrix: 128142 x 194913 with sparse part having weight 9661941.
Pruned matrix : 101275 x 101979 with weight 3961287.
Total sieving time: 1.48 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,123,5,0,0,0,0,0,0,0,0,800000,800000,25,25,45,45,2.2,2.2,40000
total time: 1.53 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)
execution environment 実行環境
Core 2 Quad Q6600

11×10126+79

c125

name 名前Robert Backstrom
date 日付February 1, 2008 04:42:48 UTC 2008 年 2 月 1 日 (金) 13 時 42 分 48 秒 (日本時間)
composite number 合成数
26004728132387706855791962174940898345153664302600472813238770685579196217494089834515366430260047281323877068557919621749409<125>
prime factors 素因数
2028013358477151338981105966488181<34>
100997020886744923001474572087204796497<39>
126961762538913698290780642666257974194325729545261037<54>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 26004728132387706855791962174940898345153664302600472813238770685579196217494089834515366430260047281323877068557919621749409 (125 digits)
Using B1=716000, B2=521581711, polynomial Dickson(3), sigma=3518255685
Step 1 took 7765ms
Step 2 took 4766ms
********** Factor found in step 2: 2028013358477151338981105966488181
Found probable prime factor of 34 digits: 2028013358477151338981105966488181
Composite cofactor 12822759782960615911248464548662628250867681715191527970142640677251818434976713082328187389 has 92 digits


Number: n
N=12822759782960615911248464548662628250867681715191527970142640677251818434976713082328187389
  ( 92 digits)
Divisors found:
 r1=100997020886744923001474572087204796497 (pp39)
 r2=126961762538913698290780642666257974194325729545261037 (pp54)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 3.79 hours.
Scaled time: 5.48 units (timescale=1.448).
Factorization parameters were as follows:
name: KA_1_2_125_3
n:  12822759782960615911248464548662628250867681715191527970142640677251818434976713082328187389
m:  828222499879303485153
deg: 4
c4: 27251688
c3: 116985641150
c2: -35161021028079089
c1: -401192335890363161
c0: 14492918840677471284545
skew: 1635.250
type: gnfs
# adj. I(F,S) = 52.000
# E(F1,F2) = 1.265408e-04
# GGNFS version 0.77.1-20051202-athlon polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=58.00000000, seed=1201825203.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 700000
alim: 700000
lpbr: 26
lpba: 26
mfbr: 44
mfba: 44
rlambda: 2.4
alambda: 2.4
qintsize: 50000

type: gnfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 44/44
Sieved algebraic special-q in [100000, 650001)
Primes: RFBsize:56543, AFBsize:56107, largePrimes:2044474 encountered
Relations: rels:1905213, finalFF:138257
Max relations in full relation-set: 28
Initial matrix: 112725 x 138257 with sparse part having weight 10597229.
Pruned matrix : 104195 x 104822 with weight 6271740.
Total sieving time: 3.55 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.13 hours.
Total square root time: 0.02 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,91,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,700000,700000,26,26,44,44,2.4,2.4,40000
total time: 3.79 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

11×10127+79

c99

name 名前Jo Yeong Uk
date 日付January 31, 2008 23:15:37 UTC 2008 年 2 月 1 日 (金) 8 時 15 分 37 秒 (日本時間)
composite number 合成数
574267086435090699768103539203445300361508173374549994005694693376903137493747861523667279345142059<99>
prime factors 素因数
131553635963448102867023745823633166713<39>
4365269589315262899723003685730075290012150262832120397531843<61>
factorization results 素因数分解の結果
Number: 12223_127
N=574267086435090699768103539203445300361508173374549994005694693376903137493747861523667279345142059
  ( 99 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=131553635963448102867023745823633166713 (pp39)
 r2=4365269589315262899723003685730075290012150262832120397531843 (pp61)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.18 hours.
Scaled time: 4.05 units (timescale=1.859).
Factorization parameters were as follows:
n: 574267086435090699768103539203445300361508173374549994005694693376903137493747861523667279345142059
m: 10000000000000000000000000
c5: 1100
c0: 7
skew: 0.36
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [500000, 950001)
Primes: RFBsize:78498, AFBsize:78502, largePrimes:1568919 encountered
Relations: rels:1614187, finalFF:218469
Max relations in full relation-set: 28
Initial matrix: 157067 x 218469 with sparse part having weight 11091121.
Pruned matrix : 130554 x 131403 with weight 5278948.
Total sieving time: 2.10 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,46,46,2.2,2.2,50000
total time: 2.18 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)
execution environment 実行環境
Core 2 Quad Q6600

11×10128+79

c104

name 名前Sinkiti Sibata
date 日付January 31, 2008 23:28:26 UTC 2008 年 2 月 1 日 (金) 8 時 28 分 26 秒 (日本時間)
composite number 合成数
72527839001722245343433093247741785957812868472563178292041549315582239211939650085232450024037863578011<104>
prime factors 素因数
17820426575258291271812216801778273828263811949<47>
4069927209397961264478571968552512687964124279931746688039<58>
factorization results 素因数分解の結果
Number: 12223_128
N=72527839001722245343433093247741785957812868472563178292041549315582239211939650085232450024037863578011
  ( 104 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=17820426575258291271812216801778273828263811949 (pp47)
 r2=4069927209397961264478571968552512687964124279931746688039 (pp58)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 6.18 hours.
Scaled time: 4.18 units (timescale=0.676).
Factorization parameters were as follows:
name: 12223_128
n: 72527839001722245343433093247741785957812868472563178292041549315582239211939650085232450024037863578011
m: 10000000000000000000000000
c5: 11000
c0: 7
skew: 0.23
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 1050001)
Primes: RFBsize:63951, AFBsize:63749, largePrimes:1505085 encountered
Relations: rels:1503095, finalFF:170416
Max relations in full relation-set: 28
Initial matrix: 127767 x 170416 with sparse part having weight 12944744.
Pruned matrix : 115378 x 116080 with weight 7079599.
Total sieving time: 5.82 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 6.18 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

11×10129+79

c98

name 名前Sinkiti Sibata
date 日付February 1, 2008 04:14:06 UTC 2008 年 2 月 1 日 (金) 13 時 14 分 6 秒 (日本時間)
composite number 合成数
10117564874327307322152950912916434067947268348447696910741179744918424161798658125524733589278467<98>
prime factors 素因数
36382216950136191665275319616069319317105322207<47>
278090938993464323621253478672588687018603974937181<51>
factorization results 素因数分解の結果
Number: 12223_129
N=10117564874327307322152950912916434067947268348447696910741179744918424161798658125524733589278467
  ( 98 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=36382216950136191665275319616069319317105322207 (pp47)
 r2=278090938993464323621253478672588687018603974937181 (pp51)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 5.73 hours.
Scaled time: 3.88 units (timescale=0.676).
Factorization parameters were as follows:
name: 12223_129
n: 10117564874327307322152950912916434067947268348447696910741179744918424161798658125524733589278467
m: 100000000000000000000000000
c5: 11
c0: 70
skew: 1.45
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 1000001)
Primes: RFBsize:63951, AFBsize:63989, largePrimes:1484925 encountered
Relations: rels:1479962, finalFF:166211
Max relations in full relation-set: 28
Initial matrix: 128005 x 166211 with sparse part having weight 12291328.
Pruned matrix : 116824 x 117528 with weight 6896601.
Total sieving time: 5.39 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 5.73 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

11×10130+79

c121

name 名前Jo Yeong Uk
date 日付January 31, 2008 23:16:37 UTC 2008 年 2 月 1 日 (金) 8 時 16 分 37 秒 (日本時間)
composite number 合成数
4186446393251757937089321095384294030882377489367556216227186001816279187420481326563415495130071266809768698299004771859<121>
prime factors 素因数
6368333907666863327198144994659776908553310493558001<52>
657384875534192380051162907704171430655174054549731898566209496449859<69>
factorization results 素因数分解の結果
Number: 12223_130
N=4186446393251757937089321095384294030882377489367556216227186001816279187420481326563415495130071266809768698299004771859
  ( 121 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=6368333907666863327198144994659776908553310493558001 (pp52)
 r2=657384875534192380051162907704171430655174054549731898566209496449859 (pp69)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.93 hours.
Scaled time: 3.60 units (timescale=1.860).
Factorization parameters were as follows:
n: 4186446393251757937089321095384294030882377489367556216227186001816279187420481326563415495130071266809768698299004771859
m: 100000000000000000000000000
c5: 11
c0: 7
skew: 0.91
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [500000, 900001)
Primes: RFBsize:78498, AFBsize:78392, largePrimes:1557066 encountered
Relations: rels:1615830, finalFF:230414
Max relations in full relation-set: 28
Initial matrix: 156955 x 230414 with sparse part having weight 11524693.
Pruned matrix : 122946 x 123794 with weight 5035615.
Total sieving time: 1.87 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,46,46,2.2,2.2,50000
total time: 1.93 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)
execution environment 実行環境
Core 2 Quad Q6600

11×10132+79

c101

name 名前Jo Yeong Uk
date 日付February 1, 2008 03:39:34 UTC 2008 年 2 月 1 日 (金) 12 時 39 分 34 秒 (日本時間)
composite number 合成数
29136092131795957409269524543599123164049664084769673527820555195490040265768211379642590850877167057<101>
prime factors 素因数
15627040354064215471639879571774527<35>
1864466429448898434587464768488764084002767058127712202281064401391<67>
factorization results 素因数分解の結果
Number: 12223_132
N=29136092131795957409269524543599123164049664084769673527820555195490040265768211379642590850877167057
  ( 101 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=15627040354064215471639879571774527 (pp35)
 r2=1864466429448898434587464768488764084002767058127712202281064401391 (pp67)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.19 hours.
Scaled time: 5.93 units (timescale=1.858).
Factorization parameters were as follows:
n: 29136092131795957409269524543599123164049664084769673527820555195490040265768211379642590850877167057
m: 100000000000000000000000000
c5: 1100
c0: 7
skew: 0.36
type: snfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [600000, 1250001)
Primes: RFBsize:92938, AFBsize:92875, largePrimes:1687326 encountered
Relations: rels:1749659, finalFF:237564
Max relations in full relation-set: 28
Initial matrix: 185880 x 237564 with sparse part having weight 13207043.
Pruned matrix : 163716 x 164709 with weight 7305591.
Total sieving time: 3.08 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,1200000,1200000,25,25,46,46,2.2,2.2,50000
total time: 3.19 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)
execution environment 実行環境
Core 2 Quad Q6600

11×10133+79

c103

name 名前Jo Yeong Uk
date 日付February 1, 2008 13:22:16 UTC 2008 年 2 月 1 日 (金) 22 時 22 分 16 秒 (日本時間)
composite number 合成数
1212635096935489162985899520225286878375226922845226590025671623905132630667309062931776714979850924179<103>
prime factors 素因数
7288838851121349921757605985046744807118531852797<49>
166368762117567129996632571508461763704342293538361807<54>
factorization results 素因数分解の結果
Number: 12223_133
N=1212635096935489162985899520225286878375226922845226590025671623905132630667309062931776714979850924179
  ( 103 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=7288838851121349921757605985046744807118531852797 (pp49)
 r2=166368762117567129996632571508461763704342293538361807 (pp54)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.81 hours.
Scaled time: 7.07 units (timescale=1.858).
Factorization parameters were as follows:
n: 1212635096935489162985899520225286878375226922845226590025671623905132630667309062931776714979850924179
m: 1000000000000000000000000000
c5: 11
c0: 700
skew: 2.29
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [700000, 1400001)
Primes: RFBsize:107126, AFBsize:106864, largePrimes:2327353 encountered
Relations: rels:2474302, finalFF:297230
Max relations in full relation-set: 28
Initial matrix: 214057 x 297230 with sparse part having weight 23663112.
Pruned matrix : 186367 x 187501 with weight 11941864.
Total sieving time: 3.64 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 3.81 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)
execution environment 実行環境
Core 2 Quad Q6600

11×10134+79

c96

name 名前Robert Backstrom
date 日付January 30, 2008 23:25:00 UTC 2008 年 1 月 31 日 (木) 8 時 25 分 0 秒 (日本時間)
composite number 合成数
140117679768374411977764694698883397854653689968283909022051675788789766936274055898866478563309<96>
prime factors 素因数
250936660198033341179351798590647701228125319<45>
558378674753209903140848242317261829328091333759211<51>
factorization results 素因数分解の結果
Number: n
N=140117679768374411977764694698883397854653689968283909022051675788789766936274055898866478563309
  ( 96 digits)
Divisors found:
 r1=250936660198033341179351798590647701228125319 (pp45)
 r2=558378674753209903140848242317261829328091333759211 (pp51)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 6.95 hours.
Scaled time: 10.00 units (timescale=1.438).
Factorization parameters were as follows:
name: KA_1_2_133_3
n:  140117679768374411977764694698883397854653689968283909022051675788789766936274055898866478563309
m:  7035295626774042355948
deg: 4
c4: 57195720
c3: 96456981219
c2: -312182490713950436
c1: -140354032571367830
c0: 208626920336365938460725
skew: 1635.250
type: gnfs
# adj. I(F,S) = 54.220
# E(F1,F2) = 3.549845e-05
# GGNFS version 0.77.1-20051202-athlon polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1201709066.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [100000, 1060001)
Primes: RFBsize:92938, AFBsize:92678, largePrimes:1805383 encountered
Relations: rels:1837680, finalFF:208790
Max relations in full relation-set: 28
Initial matrix: 185697 x 208790 with sparse part having weight 14018467.
Pruned matrix : 172473 x 173465 with weight 9746709.
Total sieving time: 6.36 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.47 hours.
Total square root time: 0.03 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,95,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 6.95 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

11×10135+79

c112

name 名前Jo Yeong Uk
date 日付February 1, 2008 16:22:48 UTC 2008 年 2 月 2 日 (土) 1 時 22 分 48 秒 (日本時間)
composite number 合成数
3305754608214957636859188617439640563208150384163881738373873556942454204082790415027851957410195271119880909701<112>
prime factors 素因数
146507265503071162570097163593367631761112907<45>
22563758847479551553339931144774084951879508530066949268898335852143<68>
factorization results 素因数分解の結果
Number: 12223_135
N=3305754608214957636859188617439640563208150384163881738373873556942454204082790415027851957410195271119880909701
  ( 112 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=146507265503071162570097163593367631761112907 (pp45)
 r2=22563758847479551553339931144774084951879508530066949268898335852143 (pp68)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.57 hours.
Scaled time: 4.77 units (timescale=1.857).
Factorization parameters were as follows:
n: 3305754608214957636859188617439640563208150384163881738373873556942454204082790415027851957410195271119880909701
m: 1000000000000000000000000000
c5: 11
c0: 7
skew: 0.91
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [700000, 1150001)
Primes: RFBsize:107126, AFBsize:107064, largePrimes:2237518 encountered
Relations: rels:2366180, finalFF:298235
Max relations in full relation-set: 28
Initial matrix: 214255 x 298235 with sparse part having weight 20597668.
Pruned matrix : 176349 x 177484 with weight 9366601.
Total sieving time: 2.43 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 2.57 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)
execution environment 実行環境
Core 2 Quad Q6600

11×10136+79

c108

name 名前Jo Yeong Uk
date 日付February 3, 2008 01:14:53 UTC 2008 年 2 月 3 日 (日) 10 時 14 分 53 秒 (日本時間)
composite number 合成数
822687591871552784709318643813197336735469821034016549030837174471470985203346819632076285577794861927265767<108>
prime factors 素因数
14334185432356752323140436045325276938680249<44>
57393396768433653752614517111796708118174950424989467951382669983<65>
factorization results 素因数分解の結果
Number: 12223_136
N=822687591871552784709318643813197336735469821034016549030837174471470985203346819632076285577794861927265767
  ( 108 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=14334185432356752323140436045325276938680249 (pp44)
 r2=57393396768433653752614517111796708118174950424989467951382669983 (pp65)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.35 hours.
Scaled time: 8.07 units (timescale=1.857).
Factorization parameters were as follows:
n: 822687591871552784709318643813197336735469821034016549030837174471470985203346819632076285577794861927265767
m: 1000000000000000000000000000
c5: 110
c0: 7
skew: 0.58
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [700000, 1500001)
Primes: RFBsize:107126, AFBsize:107674, largePrimes:2376958 encountered
Relations: rels:2529390, finalFF:284184
Max relations in full relation-set: 28
Initial matrix: 214867 x 284184 with sparse part having weight 25136993.
Pruned matrix : 193207 x 194345 with weight 14316828.
Total sieving time: 4.15 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 4.35 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)
execution environment 実行環境
Core 2 Quad Q6600

11×10138+79

c101

name 名前Jo Yeong Uk
date 日付February 3, 2008 05:45:41 UTC 2008 年 2 月 3 日 (日) 14 時 45 分 41 秒 (日本時間)
composite number 合成数
82494148345793731369441602124244699834884418764952216407190783233269739489161851992590938580119974597<101>
prime factors 素因数
160798003756692938654694712820528450413<39>
513029679588668744253094982652790979172390866713850617213539769<63>
factorization results 素因数分解の結果
Number: 12223_138
N=82494148345793731369441602124244699834884418764952216407190783233269739489161851992590938580119974597
  ( 101 digits)
Divisors found:
 r1=160798003756692938654694712820528450413 (pp39)
 r2=513029679588668744253094982652790979172390866713850617213539769 (pp63)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.18 hours.
Scaled time: 7.76 units (timescale=1.859).
Factorization parameters were as follows:
name: 12223_138
n: 82494148345793731369441602124244699834884418764952216407190783233269739489161851992590938580119974597
skew: 4243.25
# norm 1.19e+14
c5: 193680
c4: -67658172
c3: -9221234168102
c2: -47361928099406800
c1: 41132723755137780999
c0: 104857604310820431424095
# alpha -5.94
Y1: 43351291357
Y0: -13361886298864081646
# Murphy_E 2.87e-09
# M 71500888182725105628880026829625266678105175754627294008919100390854775685964105360002187732656023157
type: gnfs
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [750000, 1350001)
Primes: RFBsize:114155, AFBsize:113911, largePrimes:3839474 encountered
Relations: rels:3720898, finalFF:269923
Max relations in full relation-set: 28
Initial matrix: 228148 x 269923 with sparse part having weight 21108901.
Pruned matrix : 202141 x 203345 with weight 13187397.
Polynomial selection time: 0.28 hours.
Total sieving time: 3.64 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,48,48,2.5,2.5,50000
total time: 4.18 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)
execution environment 実行環境
Core 2 Quad Q6600

11×10140+79

c94

name 名前Robert Backstrom
date 日付January 31, 2008 18:30:00 UTC 2008 年 2 月 1 日 (金) 3 時 30 分 0 秒 (日本時間)
composite number 合成数
2912707834377726580270175322931490941526698320396340756910726140921366521664757928917626093117<94>
prime factors 素因数
23791675036360545008892228841804329617387361131<47>
122425505136829100536474798340818755144635369207<48>
factorization results 素因数分解の結果
Number: n
N=2912707834377726580270175322931490941526698320396340756910726140921366521664757928917626093117
  ( 94 digits)
Divisors found:
 r1=23791675036360545008892228841804329617387361131 (pp47)
 r2=122425505136829100536474798340818755144635369207 (pp48)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 4.46 hours.
Scaled time: 8.16 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_2_139_3
n:  2912707834377726580270175322931490941526698320396340756910726140921366521664757928917626093117
m:  4536326114264324860543
deg: 4
c4: 6878280
c3: 33377034
c2: -62303463404508495
c1: -64779800640570195830
c0: -1496909709532791612456
skew: 1635.250
type: gnfs
# adj. I(F,S) = 54.762
# E(F1,F2) = 4.865863e-05
# GGNFS version 0.77.1-20051202-athlon polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1201707937.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [100000, 940001)
Primes: RFBsize:92938, AFBsize:92957, largePrimes:1797298 encountered
Relations: rels:1838774, finalFF:224475
Max relations in full relation-set: 48
Initial matrix: 185979 x 224475 with sparse part having weight 15141846.
Pruned matrix : 161730 x 162723 with weight 8462261.
Polynomial selection time: 0.17 hours.
Total sieving time: 4.09 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.12 hours.
Total square root time: 0.02 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,93,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 4.46 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

11×10142+79

c103

name 名前Jo Yeong Uk
date 日付February 3, 2008 11:56:07 UTC 2008 年 2 月 3 日 (日) 20 時 56 分 7 秒 (日本時間)
composite number 合成数
3534979612696805971561202559424469132527119933396271700242344599515181935142280999950609689873517859851<103>
prime factors 素因数
213109970184769549110217954567545220770332311910759<51>
16587584380176701656934488951246590820083044778169789<53>
factorization results 素因数分解の結果
Number: 12223_142
N=3534979612696805971561202559424469132527119933396271700242344599515181935142280999950609689873517859851
  ( 103 digits)
Divisors found:
 r1=213109970184769549110217954567545220770332311910759 (pp51)
 r2=16587584380176701656934488951246590820083044778169789 (pp53)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.53 hours.
Scaled time: 10.28 units (timescale=1.858).
Factorization parameters were as follows:
name: 12223_142
n: 3534979612696805971561202559424469132527119933396271700242344599515181935142280999950609689873517859851
skew: 2679.82
# norm 5.30e+13
c5: 264600
c4: 1519439634
c3: 5152788085665
c2: -11953194132301114
c1: -25402458644324276290
c0: 28335371836441837330020
# alpha -5.47
Y1: 61721076197
Y0: -26616948120759083489
# Murphy_E 2.59e-09
# M 1548383572242134576146617681526396291714054299406984080533713325745441083028013889105891537464365554166
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [900000, 1620001)
Primes: RFBsize:135072, AFBsize:134902, largePrimes:4460724 encountered
Relations: rels:4495194, finalFF:394216
Max relations in full relation-set: 28
Initial matrix: 270054 x 394216 with sparse part having weight 33311263.
Pruned matrix : 199211 x 200625 with weight 15737659.
Polynomial selection time: 0.35 hours.
Total sieving time: 4.89 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,49,49,2.6,2.6,60000
total time: 5.53 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)
execution environment 実行環境
Core 2 Quad Q6600

11×10144+79

c112

name 名前Jo Yeong Uk
date 日付February 3, 2008 16:27:11 UTC 2008 年 2 月 4 日 (月) 1 時 27 分 11 秒 (日本時間)
composite number 合成数
1562768184724668987496762769513031229067650568268404753149105657989919707992469799902963779679286937353998199943<112>
prime factors 素因数
4258603296735103039935301521943217<34>
366967307314766659198303919155557622909193203642497744426932236576610478647479<78>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 1562768184724668987496762769513031229067650568268404753149105657989919707992469799902963779679286937353998199943 (112 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=231232791
Step 1 took 5481ms
Step 2 took 3675ms
********** Factor found in step 2: 4258603296735103039935301521943217
Found probable prime factor of 34 digits: 4258603296735103039935301521943217
Probable prime cofactor 366967307314766659198303919155557622909193203642497744426932236576610478647479 has 78 digits
execution environment 実行環境
Core 2 Quad Q6600

11×10145+79

c97

name 名前Sinkiti Sibata
date 日付February 1, 2008 13:06:38 UTC 2008 年 2 月 1 日 (金) 22 時 6 分 38 秒 (日本時間)
composite number 合成数
8493210625248353223145884402754220986747232289349364818181442507813118382434252707555080903653153<97>
prime factors 素因数
1738141979248770825019597995643561<34>
4886373338108512536231001803679542238062728247725780926025401273<64>
factorization results 素因数分解の結果
Thu Jan 31 09:05:46 2008  Msieve v. 1.30
Thu Jan 31 09:05:46 2008  random seeds: ed732f90 2131a286
Thu Jan 31 09:05:46 2008  factoring 8493210625248353223145884402754220986747232289349364818181442507813118382434252707555080903653153 (97 digits)
Thu Jan 31 09:05:47 2008  commencing quadratic sieve (97-digit input)
Thu Jan 31 09:05:48 2008  using multiplier of 1
Thu Jan 31 09:05:48 2008  using 64kb Pentium 2 sieve core
Thu Jan 31 09:05:48 2008  sieve interval: 18 blocks of size 65536
Thu Jan 31 09:05:48 2008  processing polynomials in batches of 6
Thu Jan 31 09:05:48 2008  using a sieve bound of 2404033 (88167 primes)
Thu Jan 31 09:05:48 2008  using large prime bound of 360604950 (28 bits)
Thu Jan 31 09:05:48 2008  using double large prime bound of 2527301234494800 (43-52 bits)
Thu Jan 31 09:05:48 2008  using trial factoring cutoff of 52 bits
Thu Jan 31 09:05:48 2008  polynomial 'A' values have 13 factors
Fri Feb 01 21:32:16 2008  88420 relations (21239 full + 67181 combined from 1335767 partial), need 88263
Fri Feb 01 21:32:44 2008  begin with 1357006 relations
Fri Feb 01 21:34:37 2008  reduce to 233037 relations in 12 passes
Fri Feb 01 21:34:38 2008  attempting to read 233037 relations
Fri Feb 01 21:35:21 2008  recovered 233037 relations
Fri Feb 01 21:35:21 2008  recovered 220181 polynomials
Fri Feb 01 21:35:54 2008  attempting to build 88420 cycles
Fri Feb 01 21:35:56 2008  found 88420 cycles in 6 passes
Fri Feb 01 21:36:02 2008  distribution of cycle lengths:
Fri Feb 01 21:36:02 2008     length 1 : 21239
Fri Feb 01 21:36:02 2008     length 2 : 15084
Fri Feb 01 21:36:02 2008     length 3 : 14823
Fri Feb 01 21:36:02 2008     length 4 : 12183
Fri Feb 01 21:36:02 2008     length 5 : 9263
Fri Feb 01 21:36:02 2008     length 6 : 6192
Fri Feb 01 21:36:02 2008     length 7 : 4006
Fri Feb 01 21:36:02 2008     length 9+: 5630
Fri Feb 01 21:36:02 2008  largest cycle: 18 relations
Fri Feb 01 21:36:10 2008  matrix is 88167 x 88420 with weight 5866985 (avg 66.35/col)
Fri Feb 01 21:36:58 2008  filtering completed in 3 passes
Fri Feb 01 21:36:58 2008  matrix is 84507 x 84571 with weight 5639170 (avg 66.68/col)
Fri Feb 01 21:37:03 2008  saving the first 48 matrix rows for later
Fri Feb 01 21:37:03 2008  matrix is 84459 x 84571 with weight 4459365 (avg 52.73/col)
Fri Feb 01 21:37:03 2008  matrix includes 64 packed rows
Fri Feb 01 21:37:04 2008  using block size 10922 for processor cache size 256 kB
Fri Feb 01 21:37:07 2008  commencing Lanczos iteration
Fri Feb 01 21:43:24 2008  lanczos halted after 1337 iterations (dim = 84459)
Fri Feb 01 21:43:25 2008  recovered 17 nontrivial dependencies
Fri Feb 01 21:57:06 2008  prp34 factor: 1738141979248770825019597995643561
Fri Feb 01 21:57:06 2008  prp64 factor: 4886373338108512536231001803679542238062728247725780926025401273
Fri Feb 01 21:57:06 2008  elapsed time 36:51:20
execution environment 実行環境
Pentium3 750MHz, Windows Me)

11×10147+79

c139

name 名前Robert Backstrom
date 日付February 2, 2008 04:35:09 UTC 2008 年 2 月 2 日 (土) 13 時 35 分 9 秒 (日本時間)
composite number 合成数
4616503145026132276328029386285299255606452544697679073230547318885072673351337200374052419135004823660330017098096533201835850513359157691<139>
prime factors 素因数
60639450252175372852507882819631652825439122617058853904357<59>
76130359457876522538422881892238302321490455243664764661805980418638409324517663<80>
factorization results 素因数分解の結果
Number: n
N=4616503145026132276328029386285299255606452544697679073230547318885072673351337200374052419135004823660330017098096533201835850513359157691
  ( 139 digits)
SNFS difficulty: 148 digits.
Divisors found:

Sat Feb 02 15:21:37 2008  prp59 factor: 60639450252175372852507882819631652825439122617058853904357
Sat Feb 02 15:21:37 2008  prp80 factor: 76130359457876522538422881892238302321490455243664764661805980418638409324517663
Sat Feb 02 15:21:37 2008  elapsed time 01:02:11 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 12.68 hours.
Scaled time: 22.27 units (timescale=1.756).
Factorization parameters were as follows:
name: KA_1_2_146_3
n: 4616503145026132276328029386285299255606452544697679073230547318885072673351337200374052419135004823660330017098096533201835850513359157691
type: snfs
skew: 0.36
deg: 5
c5: 1100
c0: 7
m: 100000000000000000000000000000
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1799990)
Primes: RFBsize:183072, AFBsize:182582, largePrimes:6521885 encountered
Relations: rels:5914180, finalFF:433290
Max relations in full relation-set: 28
Initial matrix: 365721 x 433290 with sparse part having weight 25005284.
Pruned matrix : 
Total sieving time: 12.49 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.3,2.3,100000
total time: 12.68 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

11×10148+79

c128

name 名前Robert Backstrom
date 日付February 2, 2008 12:11:53 UTC 2008 年 2 月 2 日 (土) 21 時 11 分 53 秒 (日本時間)
composite number 合成数
21016444981682612225056203512237555804076311423045693833897029194807082815809370173856574425843518830726347224042488806215387489<128>
prime factors 素因数
9977951392526419577166133150855561477582761570070861812038027<61>
2106288571161423902638665809382880013459521046170628246982291811907<67>
factorization results 素因数分解の結果
Number: n
N=21016444981682612225056203512237555804076311423045693833897029194807082815809370173856574425843518830726347224042488806215387489
  ( 128 digits)
SNFS difficulty: 149 digits.
Divisors found:

Sat Feb  2 23:03:45 2008  prp61 factor: 9977951392526419577166133150855561477582761570070861812038027
Sat Feb  2 23:03:45 2008  prp67 factor: 2106288571161423902638665809382880013459521046170628246982291811907
Sat Feb  2 23:03:45 2008  elapsed time 00:35:31 (Msieve 1.33)

Version: GGNFS-0.77.1-20050930-k8
Total time: 21.00 hours.
Scaled time: 17.45 units (timescale=0.831).
Factorization parameters were as follows:
name: KA_1_2_147_3
n: 21016444981682612225056203512237555804076311423045693833897029194807082815809370173856574425843518830726347224042488806215387489
type: snfs
deg: 5
c5: 11000
c0: 7
skew: 0.23
m: 100000000000000000000000000000
rlim: 2500000
alim: 2500000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved  special-q in [100000, 3200001)
Primes: RFBsize:183072, AFBsize:182532, largePrimes:3031135 encountered
Relations: rels:3055901, finalFF:404994
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 20.86 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,2500000,2500000,26,26,45,45,2.5,2.5,100000
total time: 21.00 hours.
 --------- CPU info (if available) ----------
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Total of 2 processors activated (12009.47 BogoMIPS).

11×10149+79

c139

name 名前Jo Yeong Uk
date 日付January 31, 2008 03:53:01 UTC 2008 年 1 月 31 日 (木) 12 時 53 分 1 秒 (日本時間)
composite number 合成数
7467946400444542587897321230605352887524164210767878171509535787468659295903381926066164834853581528940057496818754513522465336643510976143<139>
prime factors 素因数
2490019097316894784751546161679<31>
2999152258909011442964542293733101419514316878763530379221746764878442585998011725357379568000480610857964417<109>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 7467946400444542587897321230605352887524164210767878171509535787468659295903381926066164834853581528940057496818754513522465336643510976143 (139 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1937733051
Step 1 took 7301ms
Step 2 took 4389ms
********** Factor found in step 2: 2490019097316894784751546161679
Found probable prime factor of 31 digits: 2490019097316894784751546161679
Probable prime cofactor 2999152258909011442964542293733101419514316878763530379221746764878442585998011725357379568000480610857964417 has 109 digits
execution environment 実行環境
Core 2 Quad Q6600

11×10150+79

c119

name 名前Jo Yeong Uk
date 日付January 31, 2008 10:04:41 UTC 2008 年 1 月 31 日 (木) 19 時 4 分 41 秒 (日本時間)
composite number 合成数
23661843404809634730029166935800718231242292112479791060562512791288451051547462018471943743762421554592515366323622549<119>
prime factors 素因数
68241356669473223079132276622237<32>
151148305752490290170716101146479<33>
2294022325606514181685656134858589548523107480053902263<55>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 23661843404809634730029166935800718231242292112479791060562512791288451051547462018471943743762421554592515366323622549 (119 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=552456828
Step 1 took 6756ms
Step 2 took 4035ms
********** Factor found in step 2: 151148305752490290170716101146479
Found probable prime factor of 33 digits: 151148305752490290170716101146479
Composite cofactor 156547195729448570330739228648254921953631297430761643676132908131266366819040570422331 has 87 digits

Thu Jan 31 18:17:58 2008  
Thu Jan 31 18:17:58 2008  
Thu Jan 31 18:17:58 2008  Msieve v. 1.32
Thu Jan 31 18:17:58 2008  random seeds: 83626f43 2e9ca7e0
Thu Jan 31 18:17:58 2008  factoring 156547195729448570330739228648254921953631297430761643676132908131266366819040570422331 (87 digits)
Thu Jan 31 18:17:59 2008  no P-1/P+1/ECM available, skipping
Thu Jan 31 18:17:59 2008  commencing quadratic sieve (86-digit input)
Thu Jan 31 18:17:59 2008  using multiplier of 3
Thu Jan 31 18:17:59 2008  using 32kb Intel Core sieve core
Thu Jan 31 18:17:59 2008  sieve interval: 19 blocks of size 32768
Thu Jan 31 18:17:59 2008  processing polynomials in batches of 11
Thu Jan 31 18:17:59 2008  using a sieve bound of 1474127 (56333 primes)
Thu Jan 31 18:17:59 2008  using large prime bound of 117930160 (26 bits)
Thu Jan 31 18:17:59 2008  using double large prime bound of 338006235664960 (41-49 bits)
Thu Jan 31 18:17:59 2008  using trial factoring cutoff of 49 bits
Thu Jan 31 18:17:59 2008  polynomial 'A' values have 11 factors
Thu Jan 31 18:56:57 2008  56548 relations (15649 full + 40899 combined from 592255 partial), need 56429
Thu Jan 31 18:56:57 2008  begin with 607904 relations
Thu Jan 31 18:56:57 2008  reduce to 135305 relations in 10 passes
Thu Jan 31 18:56:57 2008  attempting to read 135305 relations
Thu Jan 31 18:56:58 2008  recovered 135305 relations
Thu Jan 31 18:56:58 2008  recovered 114562 polynomials
Thu Jan 31 18:56:58 2008  attempting to build 56548 cycles
Thu Jan 31 18:56:58 2008  found 56548 cycles in 5 passes
Thu Jan 31 18:56:59 2008  distribution of cycle lengths:
Thu Jan 31 18:56:59 2008     length 1 : 15649
Thu Jan 31 18:56:59 2008     length 2 : 10984
Thu Jan 31 18:56:59 2008     length 3 : 10147
Thu Jan 31 18:56:59 2008     length 4 : 7618
Thu Jan 31 18:56:59 2008     length 5 : 5079
Thu Jan 31 18:56:59 2008     length 6 : 3170
Thu Jan 31 18:56:59 2008     length 7 : 1835
Thu Jan 31 18:56:59 2008     length 9+: 2066
Thu Jan 31 18:56:59 2008  largest cycle: 20 relations
Thu Jan 31 18:56:59 2008  matrix is 56333 x 56548 with weight 3176684 (avg 56.18/col)
Thu Jan 31 18:56:59 2008  filtering completed in 3 passes
Thu Jan 31 18:56:59 2008  matrix is 51951 x 52015 with weight 2948955 (avg 56.69/col)
Thu Jan 31 18:57:00 2008  saving the first 48 matrix rows for later
Thu Jan 31 18:57:00 2008  matrix is 51903 x 52015 with weight 2312723 (avg 44.46/col)
Thu Jan 31 18:57:00 2008  matrix includes 64 packed rows
Thu Jan 31 18:57:00 2008  using block size 20806 for processor cache size 4096 kB
Thu Jan 31 18:57:01 2008  commencing Lanczos iteration
Thu Jan 31 18:57:11 2008  lanczos halted after 822 iterations (dim = 51901)
Thu Jan 31 18:57:11 2008  recovered 16 nontrivial dependencies
Thu Jan 31 18:57:11 2008  prp32 factor: 68241356669473223079132276622237
Thu Jan 31 18:57:11 2008  prp55 factor: 2294022325606514181685656134858589548523107480053902263
Thu Jan 31 18:57:11 2008  elapsed time 00:39:13
execution environment 実行環境
Core 2 Quad Q6600

11×10152+79

c116

name 名前Sinkiti Sibata
date 日付February 4, 2008 23:13:57 UTC 2008 年 2 月 5 日 (火) 8 時 13 分 57 秒 (日本時間)
composite number 合成数
13812630256374128058975491572338375909272705190772233288419791120726713032137426286286429659495567817867100412416309<116>
prime factors 素因数
8511935397927024191899434347488658797919067426392222579<55>
1622736735024800828915830534770168951277226403012313894450871<61>
factorization results 素因数分解の結果
Number: 12223_152
N=13812630256374128058975491572338375909272705190772233288419791120726713032137426286286429659495567817867100412416309
  ( 116 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=8511935397927024191899434347488658797919067426392222579 (pp55)
 r2=1622736735024800828915830534770168951277226403012313894450871 (pp61)
Version: GGNFS-0.77.1-20060513-k8
Total time: 33.22 hours.
Scaled time: 66.25 units (timescale=1.994).
Factorization parameters were as follows:
name: 12223_152
n: 13812630256374128058975491572338375909272705190772233288419791120726713032137426286286429659495567817867100412416309
m: 1000000000000000000000000000000
c5: 1100
c0: 7
skew: 0.36
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2300001)
Primes: RFBsize:176302, AFBsize:175784, largePrimes:5725226 encountered
Relations: rels:5716673, finalFF:530496
Max relations in full relation-set: 28
Initial matrix: 352153 x 530496 with sparse part having weight 50516089.
Pruned matrix : 288883 x 290707 with weight 27675748.
Total sieving time: 31.64 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.29 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 33.22 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
(上の枠に貼り付けた素因数分解ソフトウェアの出力結果に実行環境の情報が含まれていない場合は、それをここ
Core 2 Duo E6300 1.86GHz, Windows Vista)

11×10155+79

c121

name 名前Sinkiti Sibata
date 日付February 5, 2008 21:12:00 UTC 2008 年 2 月 6 日 (水) 6 時 12 分 0 秒 (日本時間)
composite number 合成数
4426423631582280997263144548425906821817226170288044990471077946959857011196243187970733067231824314700177486874047257761<121>
prime factors 素因数
4264116202467938770951293907576359430192576324566865877<55>
1038063556762454948769332965821742017541903031000047864051013665693<67>
factorization results 素因数分解の結果
Number: 12223_155
N=4426423631582280997263144548425906821817226170288044990471077946959857011196243187970733067231824314700177486874047257761
  ( 121 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=4264116202467938770951293907576359430192576324566865877 (pp55)
 r2=1038063556762454948769332965821742017541903031000047864051013665693 (pp67)
Version: GGNFS-0.77.1-20060513-k8
Total time: 27.06 hours.
Scaled time: 54.16 units (timescale=2.002).
Factorization parameters were as follows:
name: 12223_155
n: 4426423631582280997263144548425906821817226170288044990471077946959857011196243187970733067231824314700177486874047257761
m: 10000000000000000000000000000000
c5: 11
c0: 7
skew: 0.91
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2400001)
Primes: RFBsize:216816, AFBsize:216272, largePrimes:5579968 encountered
Relations: rels:5574910, finalFF:586449
Max relations in full relation-set: 28
Initial matrix: 433153 x 586449 with sparse part having weight 43927938.
Pruned matrix : 323992 x 326221 with weight 27346196.
Total sieving time: 25.55 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.23 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 27.06 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

11×10156+79

c103

name 名前Jo Yeong Uk
date 日付February 3, 2008 16:54:57 UTC 2008 年 2 月 4 日 (月) 1 時 54 分 57 秒 (日本時間)
composite number 合成数
3671975392439472899341330402417834604335376052564536472613853563638553912495032350819060859819301654223<103>
prime factors 素因数
20014512109901815744898373231694000857379<41>
183465645941118388677264534427318636676528636593091062790132837<63>
factorization results 素因数分解の結果
Number: 12223_156
N=3671975392439472899341330402417834604335376052564536472613853563638553912495032350819060859819301654223
  ( 103 digits)
Divisors found:
 r1=20014512109901815744898373231694000857379 (pp41)
 r2=183465645941118388677264534427318636676528636593091062790132837 (pp63)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.31 hours.
Scaled time: 9.87 units (timescale=1.858).
Factorization parameters were as follows:
name: 12223_156
n: 3671975392439472899341330402417834604335376052564536472613853563638553912495032350819060859819301654223
skew: 19530.82
# norm 1.35e+14
c5: 6720
c4: -442157698
c3: -8623263312341
c2: 181075102603430862
c1: 1613496398437236320040
c0: 174910907146950939185280
# alpha -6.11
Y1: 48802931441
Y0: -55912780045085853073
# Murphy_E 2.56e-09
# M 144302031692213904811710240983196039277303241981002758121166447200177541282832116968539726573935138066
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [900000, 1560001)
Primes: RFBsize:135072, AFBsize:134658, largePrimes:4325792 encountered
Relations: rels:4231829, finalFF:317982
Max relations in full relation-set: 28
Initial matrix: 269812 x 317982 with sparse part having weight 25295169.
Pruned matrix : 235496 x 236909 with weight 15884839.
Polynomial selection time: 0.35 hours.
Total sieving time: 4.63 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,49,49,2.6,2.6,60000
total time: 5.31 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)
execution environment 実行環境
Core 2 Quad Q6600

11×10159+79

c113

name 名前Sinkiti Sibata
date 日付February 7, 2008 22:54:00 UTC 2008 年 2 月 8 日 (金) 7 時 54 分 0 秒 (日本時間)
composite number 合成数
43023803330287187273746316838635004481199686462719115124977818948619389370183740498431606534990591450192166754949<113>
prime factors 素因数
411917824030997137139094198484004214186454078374563<51>
104447539825442495437964036453728510925486296174666075535780023<63>
factorization results 素因数分解の結果
Number: 12223_159
N=43023803330287187273746316838635004481199686462719115124977818948619389370183740498431606534990591450192166754949
  ( 113 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=411917824030997137139094198484004214186454078374563 (pp51)
 r2=104447539825442495437964036453728510925486296174666075535780023 (pp63)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 82.36 hours.
Scaled time: 55.59 units (timescale=0.675).
Factorization parameters were as follows:
name: 12223_159
n: 43023803330287187273746316838635004481199686462719115124977818948619389370183740498431606534990591450192166754949
m: 100000000000000000000000000000000
c5: 11
c0: 70
skew: 1.45
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 4000001)
Primes: RFBsize:283146, AFBsize:282983, largePrimes:5738850 encountered
Relations: rels:5793505, finalFF:674155
Max relations in full relation-set: 28
Initial matrix: 566194 x 674155 with sparse part having weight 43837589.
Pruned matrix : 489774 x 492668 with weight 30368801.
Total sieving time: 71.12 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 10.68 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 82.36 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 3.06GHz, Windows XP and Cygwin)

11×10161+79

c126

name 名前Sinkiti Sibata
date 日付February 7, 2008 22:45:53 UTC 2008 年 2 月 8 日 (金) 7 時 45 分 53 秒 (日本時間)
composite number 合成数
143248230202753553250627324007667704007774209136426780649557690599037990179649906991462317956463890376489091431485736813433581<126>
prime factors 素因数
260689377498163087443735013320304256953<39>
549497764648131597130953367858390114380546441669938042117834896217907773886247268939477<87>
factorization results 素因数分解の結果
Number: 12223_161
N=143248230202753553250627324007667704007774209136426780649557690599037990179649906991462317956463890376489091431485736813433581
  ( 126 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=260689377498163087443735013320304256953 (pp39)
 r2=549497764648131597130953367858390114380546441669938042117834896217907773886247268939477 (pp87)
Version: GGNFS-0.77.1-20060513-k8
Total time: 78.87 hours.
Scaled time: 157.58 units (timescale=1.998).
Factorization parameters were as follows:
name: 12223_161
n: 143248230202753553250627324007667704007774209136426780649557690599037990179649906991462317956463890376489091431485736813433581
m: 100000000000000000000000000000000
c5: 110
c0: 7
skew: 0.58
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2250000, 4750001)
Primes: RFBsize:315948, AFBsize:316567, largePrimes:5881541 encountered
Relations: rels:6019866, finalFF:761148
Max relations in full relation-set: 28
Initial matrix: 632582 x 761148 with sparse part having weight 52817466.
Pruned matrix : 536094 x 539320 with weight 37129453.
Total sieving time: 74.82 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 3.51 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 78.87 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

11×10165+79

c107

name 名前Robert Backstrom
date 日付February 5, 2008 11:06:28 UTC 2008 年 2 月 5 日 (火) 20 時 6 分 28 秒 (日本時間)
composite number 合成数
96703762136885993527051098298870383339158901947010897471096334946417565075450884442730993018763399928976813<107>
prime factors 素因数
22667491190849706134196427735425561647719849624523<50>
4266187260102382245262999179515923658804140846831092944231<58>
factorization results 素因数分解の結果
Number: n
N=96703762136885993527051098298870383339158901947010897471096334946417565075450884442730993018763399928976813
  ( 107 digits)
Divisors found:

Tue Feb  5 21:58:19 2008  prp50 factor: 22667491190849706134196427735425561647719849624523
Tue Feb  5 21:58:19 2008  prp58 factor: 4266187260102382245262999179515923658804140846831092944231
Tue Feb  5 21:58:19 2008  elapsed time 00:31:25 (Msieve 1.33)

Version: GGNFS-0.77.1-20050930-k8
Total time: 10.14 hours.
Scaled time: 8.49 units (timescale=0.837).
Factorization parameters were as follows:
name: KA_1_2_164_3
n: 96703762136885993527051098298870383339158901947010897471096334946417565075450884442730993018763399928976813
skew: 5982.01
# norm 2.22e+14
c5: 408000
c4: 39585968
c3: -38249412823790
c2: -4391565209106421
c1: 696703255789243605102
c0: 645439348323787340602296
# alpha -4.96
Y1: 248694786263
Y0: -188346099305469065669
# Murphy_E 1.38e-09
# M 51061564494728018280537336885306695758903469801669314827242486514533346876854629373845711032256659328639940
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 49/49
Sieved  special-q in [100000, 1600000)
Primes: RFBsize:183072, AFBsize:183292, largePrimes:7923702 encountered
Relations: rels:7188725, finalFF:454354
Max relations in full relation-set: 28
Initial matrix: 366442 x 454354 with sparse part having weight 31541384.
Pruned matrix : 317266 x 319162 with weight 16959885.
Total sieving time: 9.92 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,28,28,49,49,2.6,2.6,150000
total time: 10.14 hours.
 --------- CPU info (if available) ----------
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Total of 2 processors activated (12009.47 BogoMIPS).

11×10166+79

c149

name 名前Sinkiti Sibata
date 日付February 11, 2008 03:03:27 UTC 2008 年 2 月 11 日 (月) 12 時 3 分 27 秒 (日本時間)
composite number 合成数
45905296118825831622186591617833147208955244311512453516285503045623177834727084405817833581225020542229541491682063403005260492580868462169391569689<149>
prime factors 素因数
101989684325869449705527286805060691736463<42>
450097442915430795779994542402496558803504752094572069564062884789059603979985386323743477433742726962278103<108>
factorization results 素因数分解の結果
Number: 12223_166
N=45905296118825831622186591617833147208955244311512453516285503045623177834727084405817833581225020542229541491682063403005260492580868462169391569689
  ( 149 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=101989684325869449705527286805060691736463 (pp42)
 r2=450097442915430795779994542402496558803504752094572069564062884789059603979985386323743477433742726962278103 (pp108)
Version: GGNFS-0.77.1-20060513-k8
Total time: 143.84 hours.
Scaled time: 286.53 units (timescale=1.992).
Factorization parameters were as follows:
name: 12223_166
n: 45905296118825831622186591617833147208955244311512453516285503045623177834727084405817833581225020542229541491682063403005260492580868462169391569689
m: 1000000000000000000000000000000000
c5: 110
c0: 7
skew: 0.58
type: snfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2750000, 7050001)
Primes: RFBsize:380800, AFBsize:381423, largePrimes:6105750 encountered
Relations: rels:6346470, finalFF:883846
Max relations in full relation-set: 28
Initial matrix: 762290 x 883846 with sparse part having weight 64492068.
Pruned matrix : 667219 x 671094 with weight 48020573.
Total sieving time: 137.22 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 5.98 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,48,48,2.6,2.6,100000
total time: 143.84 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

11×10167+79

c164

name 名前Robert Backstrom
date 日付February 2, 2008 11:37:23 UTC 2008 年 2 月 2 日 (土) 20 時 37 分 23 秒 (日本時間)
composite number 合成数
12578184853578493590843081426594856665866236721438944347249379666792448515202451602575097480932615233325329033881056110139160463334591151818691182692417641475992819<164>
prime factors 素因数
14423979966512432432545987637860750601<38>
2524959991453561105199033616344355110857<40>
345365030444882216665762967853873494551988141411835789407073140545858646627934040752067<87>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 12578184853578493590843081426594856665866236721438944347249379666792448515202451602575097480932615233325329033881056110139160463334591151818691182692417641475992819 (164 digits)
Using B1=3688000, B2=5390467575, polynomial Dickson(6), sigma=3907417159
Step 1 took 44987ms
Step 2 took 20251ms
********** Factor found in step 2: 14423979966512432432545987637860750601
Found probable prime factor of 38 digits: 14423979966512432432545987637860750601
Composite cofactor 872032884320468672694123584074545785109069729929641744419454227378653256268266835716774250817819754046224470320333987436891419 has 126 digits


GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 872032884320468672694123584074545785109069729929641744419454227378653256268266835716774250817819754046224470320333987436891419 (126 digits)
Using B1=5024000, B2=8373791045, polynomial Dickson(6), sigma=2872842747
Step 1 took 46112ms
Step 2 took 19041ms
********** Factor found in step 2: 2524959991453561105199033616344355110857
Found probable prime factor of 40 digits: 2524959991453561105199033616344355110857
Probable prime cofactor 345365030444882216665762967853873494551988141411835789407073140545858646627934040752067 has 87 digits

11×10169+79

c151

name 名前Serge Batalov
date 日付October 4, 2008 22:11:51 UTC 2008 年 10 月 5 日 (日) 7 時 11 分 51 秒 (日本時間)
composite number 合成数
9661006595943356569335913717277784341104880983330214595309914724528045964926430879738402044162773517773405484364046472591892578927791104378358520147919<151>
prime factors 素因数
56614438302582048814610056890653305828644096999449225595894307044593297<71>
170645631849406535892466311038242263821975056450557183563575141057584461818693727<81>
factorization results 素因数分解の結果
SNFS difficulty: 171 digits.
Divisors found:
 r1=56614438302582048814610056890653305828644096999449225595894307044593297
 r2=170645631849406535892466311038242263821975056450557183563575141057584461818693727
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.722).
Factorization parameters were as follows:
n: 9661006595943356569335913717277784341104880983330214595309914724528045964926430879738402044162773517773405484364046472591892578927791104378358520147919
Y1: 1
Y0: -10000000000000000000000000000000000
c5: 11
c0: 70
skew: 1.45
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [3000000, 5500001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1040091 x 1040339
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,54,54,2.6,2.6,100000
total time: 30.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 30, 2008 09:00:00 UTC 2008 年 1 月 30 日 (水) 18 時 0 分 0 秒 (日本時間)

11×10171+79

c127

name 名前Sinkiti Sibata
date 日付October 23, 2009 03:22:46 UTC 2009 年 10 月 23 日 (金) 12 時 22 分 46 秒 (日本時間)
composite number 合成数
2256436732038782590955720508896276694051180539535330232627385110920722833921004383641867215954888860165018041347441759922767711<127>
prime factors 素因数
24901499544721371734264989415030097233317<41>
90614492030344526375011699819556672642162000003956105269511487846415420194738095567283<86>
factorization results 素因数分解の結果
Number: 12223_171
N=2256436732038782590955720508896276694051180539535330232627385110920722833921004383641867215954888860165018041347441759922767711
  ( 127 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=24901499544721371734264989415030097233317 (pp41)
 r2=90614492030344526375011699819556672642162000003956105269511487846415420194738095567283 (pp86)
Version: Msieve v. 1.42
Total time: 4.35 hours.
Scaled time: 3.72 units (timescale=0.854).
Factorization parameters were as follows:
name: 12223_171
n: 2256436732038782590955720508896276694051180539535330232627385110920722833921004383641867215954888860165018041347441759922767711
m: 10000000000000000000000000000000000
deg: 5
c5: 110
c0: 7
skew: 0.58
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2600000, 6100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1055791 x 1056020
Total sieving time: 0.00 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 4.11 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 4.35 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.16 BogoMIPS (lpj=2913583)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.70 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 30, 2008 09:00:00 UTC 2008 年 1 月 30 日 (水) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiJuly 13, 2009 01:14:39 UTC 2009 年 7 月 13 日 (月) 10 時 14 分 39 秒 (日本時間)

11×10172+79

c111

name 名前Jo Yeong Uk
date 日付February 5, 2008 06:20:19 UTC 2008 年 2 月 5 日 (火) 15 時 20 分 19 秒 (日本時間)
composite number 合成数
242489663535667639241651384176198619583752763717021557825727032888978929081904591019907021815847107960181536767<111>
prime factors 素因数
111487462047472904549551202867568979<36>
2175039767542759059001773194327055783343681329625388358095052729519501204773<76>
factorization results 素因数分解の結果
Number: 12223_172
N=242489663535667639241651384176198619583752763717021557825727032888978929081904591019907021815847107960181536767
  ( 111 digits)
Divisors found:
 r1=111487462047472904549551202867568979 (pp36)
 r2=2175039767542759059001773194327055783343681329625388358095052729519501204773 (pp76)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 16.82 hours.
Scaled time: 31.26 units (timescale=1.858).
Factorization parameters were as follows:
name: 12223_172
n: 242489663535667639241651384176198619583752763717021557825727032888978929081904591019907021815847107960181536767
skew: 32353.91
# norm 3.37e+15
c5: 40320
c4: -2363866290
c3: 72861550321301
c2: 4433137019570566225
c1: -78112732505301434752569
c0: -447267567058045530535974555
# alpha -6.74
Y1: 109208032219
Y0: -1431643645502336882936
# Murphy_E 9.03e-10
# M 13490647646898210578774861483495916783026841972197418764250733041946106194943433052920323966293034641219362176
type: gnfs
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1200000, 2040001)
Primes: RFBsize:176302, AFBsize:176469, largePrimes:7677263 encountered
Relations: rels:7584793, finalFF:522842
Max relations in full relation-set: 28
Initial matrix: 352854 x 522842 with sparse part having weight 54628482.
Pruned matrix : 258861 x 260689 with weight 29452672.
Polynomial selection time: 0.86 hours.
Total sieving time: 15.33 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.39 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,50,50,2.6,2.6,60000
total time: 16.82 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)
execution environment 実行環境
Core 2 Quad Q6600

11×10178+79

c147

name 名前Dmitry Domanov
date 日付May 10, 2013 08:13:21 UTC 2013 年 5 月 10 日 (金) 17 時 13 分 21 秒 (日本時間)
composite number 合成数
122618913144754375951904387940956358791099135075255049650156160072526856706033072506090152693256190714902393465370885883019266801805029246244068471<147>
prime factors 素因数
141422547865519888350704511496496652756932998678416733<54>
867039344117558423237895390185875791242765125037159793404971188994349368205650029347897941987<93>
factorization results 素因数分解の結果
N=122618913144754375951904387940956358791099135075255049650156160072526856706033072506090152693256190714902393465370885883019266801805029246244068471
  ( 147 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=141422547865519888350704511496496652756932998678416733 (pp54)
 r2=867039344117558423237895390185875791242765125037159793404971188994349368205650029347897941987 (pp93)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 111.63 hours.
Scaled time: 214.45 units (timescale=1.921).
Factorization parameters were as follows:
n: 122618913144754375951904387940956358791099135075255049650156160072526856706033072506090152693256190714902393465370885883019266801805029246244068471
m: 100000000000000000000000000000000000
deg: 5
c5: 11000
c0: 7
skew: 0.23
# Murphy_E = 9.352e-11
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3350000, 9350001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1569823 x 1570071
Total sieving time: 108.60 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.38 hours.
Time per square root: 0.45 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,100000
total time: 111.63 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 30, 2008 09:00:00 UTC 2008 年 1 月 30 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 3, 2010 10:03:24 UTC 2010 年 10 月 3 日 (日) 19 時 3 分 24 秒 (日本時間)
403e6110Ignacio SantosOctober 3, 2010 10:03:24 UTC 2010 年 10 月 3 日 (日) 19 時 3 分 24 秒 (日本時間)
4511e6632 / 444132Ignacio SantosOctober 3, 2010 10:03:24 UTC 2010 年 10 月 3 日 (日) 19 時 3 分 24 秒 (日本時間)
600Rich DickersonFebruary 6, 2012 03:48:48 UTC 2012 年 2 月 6 日 (月) 12 時 48 分 48 秒 (日本時間)

11×10180+79

c166

name 名前Dmitry Domanov
date 日付May 15, 2013 09:52:29 UTC 2013 年 5 月 15 日 (水) 18 時 52 分 29 秒 (日本時間)
composite number 合成数
8431410552359016550175347987964021209650068754373021158393449428122968746400643323386466035464983950103794984412652606735703073419837137431921384580884874255994630667<166>
prime factors 素因数
7999846741615579561815855786151933925013931026677407<52>
1053946509812296992789070189315556378032509188650081892690955159631748514339120833310088458348702731061598628860181<115>
factorization results 素因数分解の結果
N=8431410552359016550175347987964021209650068754373021158393449428122968746400643323386466035464983950103794984412652606735703073419837137431921384580884874255994630667
  ( 166 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=7999846741615579561815855786151933925013931026677407 (pp52)
 r2=1053946509812296992789070189315556378032509188650081892690955159631748514339120833310088458348702731061598628860181 (pp115)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 78.41 hours.
Scaled time: 150.86 units (timescale=1.924).
Factorization parameters were as follows:
n: 8431410552359016550175347987964021209650068754373021158393449428122968746400643323386466035464983950103794984412652606735703073419837137431921384580884874255994630667
m: 1000000000000000000000000000000000000
deg: 5
c5: 11
c0: 7
skew: 0.91
# Murphy_E = 1.334e-10
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 7650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1206567 x 1206796
Total sieving time: 76.73 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.43 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 78.41 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
3025e4430Makoto KamadaJanuary 30, 2008 09:00:00 UTC 2008 年 1 月 30 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 3, 2010 11:11:47 UTC 2010 年 10 月 3 日 (日) 20 時 11 分 47 秒 (日本時間)
403e6110Ignacio SantosOctober 3, 2010 11:11:47 UTC 2010 年 10 月 3 日 (日) 20 時 11 分 47 秒 (日本時間)
4511e6632 / 426532Ignacio SantosOctober 3, 2010 11:11:47 UTC 2010 年 10 月 3 日 (日) 20 時 11 分 47 秒 (日本時間)
600Rich DickersonJuly 29, 2012 15:46:51 UTC 2012 年 7 月 30 日 (月) 0 時 46 分 51 秒 (日本時間)
5043e650 / 7406Rich DickersonJuly 29, 2012 17:48:06 UTC 2012 年 7 月 30 日 (月) 2 時 48 分 6 秒 (日本時間)

11×10181+79

c154

name 名前Dmitry Domanov
date 日付June 3, 2013 05:37:44 UTC 2013 年 6 月 3 日 (月) 14 時 37 分 44 秒 (日本時間)
composite number 合成数
3712269825839036678847635599525164418705555150721436125108577983692923672493286557346400317398399410981387908691336247594897763495464816211712976514944499<154>
prime factors 素因数
18702947904893144186210013383389000210388096307912582410321059526684684157053<77>
198485813290845823053293494777132361536716657721588645080005629464466051924783<78>
factorization results 素因数分解の結果
N=3712269825839036678847635599525164418705555150721436125108577983692923672493286557346400317398399410981387908691336247594897763495464816211712976514944499
  ( 154 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=18702947904893144186210013383389000210388096307912582410321059526684684157053 (pp77)
 r2=198485813290845823053293494777132361536716657721588645080005629464466051924783 (pp78)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 130.74 hours.
Scaled time: 245.13 units (timescale=1.875).
Factorization parameters were as follows:
n: 3712269825839036678847635599525164418705555150721436125108577983692923672493286557346400317398399410981387908691336247594897763495464816211712976514944499
m: 1000000000000000000000000000000000000
deg: 5
c5: 110
c0: 7
skew: 0.58
# Murphy_E = 7.977e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3800000, 10600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1609563 x 1609790
Total sieving time: 127.61 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.53 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 130.74 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
3025e4430Makoto KamadaJanuary 30, 2008 09:00:00 UTC 2008 年 1 月 30 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 3, 2010 12:07:19 UTC 2010 年 10 月 3 日 (日) 21 時 7 分 19 秒 (日本時間)
403e63010110Ignacio SantosOctober 3, 2010 12:07:19 UTC 2010 年 10 月 3 日 (日) 21 時 7 分 19 秒 (日本時間)
1900Warut RoonguthaiFebruary 25, 2013 17:21:43 UTC 2013 年 2 月 26 日 (火) 2 時 21 分 43 秒 (日本時間)
1000Dmitry DomanovMarch 6, 2013 15:25:26 UTC 2013 年 3 月 7 日 (木) 0 時 25 分 26 秒 (日本時間)
4511e632 / 3800Ignacio SantosOctober 3, 2010 12:07:19 UTC 2010 年 10 月 3 日 (日) 21 時 7 分 19 秒 (日本時間)

11×10182+79

c152

name 名前Warut Roonguthai
date 日付February 25, 2013 14:02:50 UTC 2013 年 2 月 25 日 (月) 23 時 2 分 50 秒 (日本時間)
composite number 合成数
20461952823193912436139417390171425257459230461224514197517483543242768527364375424223731710372191905560788633027269273827263400369122117088739353979593<152>
prime factors 素因数
550629209067242881906772234977227181<36>
37161037747808792982739143902236719103783647038028709329673087657403688116441543251226505235900343762151590534519053<116>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=469152978
Step 1 took 16473ms
Step 2 took 10047ms
********** Factor found in step 2: 550629209067242881906772234977227181
Found probable prime factor of 36 digits: 550629209067242881906772234977227181
Probable prime cofactor 37161037747808792982739143902236719103783647038028709329673087657403688116441543251226505235900343762151590534519053 has 116 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 30, 2008 09:00:00 UTC 2008 年 1 月 30 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 3, 2010 13:23:28 UTC 2010 年 10 月 3 日 (日) 22 時 23 分 28 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 3, 2010 13:23:28 UTC 2010 年 10 月 3 日 (日) 22 時 23 分 28 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 3, 2010 13:23:28 UTC 2010 年 10 月 3 日 (日) 22 時 23 分 28 秒 (日本時間)

11×10183+79

c156

name 名前Jo Yeong Uk
date 日付April 28, 2014 12:05:09 UTC 2014 年 4 月 28 日 (月) 21 時 5 分 9 秒 (日本時間)
composite number 合成数
430614967917784229713296380973224614182270391479145591520752272805922234074970187218914371929384040559714690123170609613410717736346185884960266795845377173<156>
prime factors 素因数
18212811372339453973220173399154088990710351<44>
23643519889069784132283684936048255270454932084939533391370859135591257621004279701994166075949435123233336604123<113>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 430614967917784229713296380973224614182270391479145591520752272805922234074970187218914371929384040559714690123170609613410717736346185884960266795845377173 (156 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=7704051082
Step 1 took 29618ms
Step 2 took 9767ms
********** Factor found in step 2: 18212811372339453973220173399154088990710351
Found probable prime factor of 44 digits: 18212811372339453973220173399154088990710351
Probable prime cofactor 23643519889069784132283684936048255270454932084939533391370859135591257621004279701994166075949435123233336604123 has 113 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 30, 2008 09:00:00 UTC 2008 年 1 月 30 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 3, 2010 14:20:09 UTC 2010 年 10 月 3 日 (日) 23 時 20 分 9 秒 (日本時間)
403e62760110Ignacio SantosOctober 3, 2010 14:20:09 UTC 2010 年 10 月 3 日 (日) 23 時 20 分 9 秒 (日本時間)
1650Warut RoonguthaiFebruary 25, 2013 17:22:21 UTC 2013 年 2 月 26 日 (火) 2 時 22 分 21 秒 (日本時間)
1000Dmitry DomanovMarch 6, 2013 15:25:35 UTC 2013 年 3 月 7 日 (木) 0 時 25 分 35 秒 (日本時間)
4511e632 / 3855Ignacio SantosOctober 3, 2010 14:20:09 UTC 2010 年 10 月 3 日 (日) 23 時 20 分 9 秒 (日本時間)

11×10188+79

c178

name 名前Robert Backstrom
date 日付February 13, 2012 06:50:55 UTC 2012 年 2 月 13 日 (月) 15 時 50 分 55 秒 (日本時間)
composite number 合成数
1371880902070796185252036301747728935730295973901513110237009753773556272250465987226567231573434334116325399807949733766843356758799210731449441604912364120496802625898434397829<178>
prime factors 素因数
1731828379602973986073992616346184317003627009<46>
792157536063303994473573258853847305178316240058345204598548489011747971282297312000872839692167093603336718715479549439809574478981<132>
factorization results 素因数分解の結果
Number: n
N=1371880902070796185252036301747728935730295973901513110237009753773556272250465987226567231573434334116325399807949733766843356758799210731449441604912364120496802625898434397829
  ( 178 digits)
SNFS difficulty: 189 digits.
Divisors found:

Mon Feb 13 17:34:09 2012  prp46 factor: 1731828379602973986073992616346184317003627009
Mon Feb 13 17:34:09 2012  prp132 factor: 792157536063303994473573258853847305178316240058345204598548489011747971282297312000872839692167093603336718715479549439809574478981
Mon Feb 13 17:34:09 2012  elapsed time 03:27:51 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.662).
Factorization parameters were as follows:
name: KA_12223_188
n: 1371880902070796185252036301747728935730295973901513110237009753773556272250465987226567231573434334116325399807949733766843356758799210731449441604912364120496802625898434397829
m: 10000000000000000000000000000000000000
#  c178, diff: 189.04
skew: 0.23
deg: 5
c5: 11000
c0: 7
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8057488 hash collisions in 78944891 relations (73401384 unique)
Msieve: matrix is 1331379 x 1331607 (373.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.12 BogoMIPS (lpj=2798061)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797563)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Total of 8 processors activated (44761.89 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 30, 2008 09:00:00 UTC 2008 年 1 月 30 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 3, 2010 15:37:38 UTC 2010 年 10 月 4 日 (月) 0 時 37 分 38 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 3, 2010 15:37:38 UTC 2010 年 10 月 4 日 (月) 0 時 37 分 38 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 3, 2010 15:37:38 UTC 2010 年 10 月 4 日 (月) 0 時 37 分 38 秒 (日本時間)

11×10189+79

c183

name 名前Wataru Sakai
date 日付February 2, 2010 13:49:05 UTC 2010 年 2 月 2 日 (火) 22 時 49 分 5 秒 (日本時間)
composite number 合成数
313133463659480908409287413278754739951056100962882554085052343532118711401141018488225228132673282151953364976323836479314076023851774460441863769237034089786921502650062736289444177<183>
prime factors 素因数
15885316469983979493321506088907572039457861081261460125571298661822392261858297931<83>
19712132537690431468014363075745543571484343328144095639084552008772850692473917086571509809510998867<101>
factorization results 素因数分解の結果
Number: 12223_189
N=313133463659480908409287413278754739951056100962882554085052343532118711401141018488225228132673282151953364976323836479314076023851774460441863769237034089786921502650062736289444177
  ( 183 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=15885316469983979493321506088907572039457861081261460125571298661822392261858297931
 r2=19712132537690431468014363075745543571484343328144095639084552008772850692473917086571509809510998867
Version: 
Total time: 472.13 hours.
Scaled time: 949.45 units (timescale=2.011).
Factorization parameters were as follows:
n: 313133463659480908409287413278754739951056100962882554085052343532118711401141018488225228132673282151953364976323836479314076023851774460441863769237034089786921502650062736289444177
m: 10000000000000000000000000000000000000
deg: 5
c5: 110000
c0: 7
skew: 0.14
type: snfs
lss: 1
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5150000, 10150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1679794 x 1680042
Total sieving time: 472.13 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10300000,10300000,28,28,54,54,2.5,2.5,100000
total time: 472.13 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
3025e4430Makoto KamadaJanuary 30, 2008 09:00:00 UTC 2008 年 1 月 30 日 (水) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiDecember 14, 2009 03:12:02 UTC 2009 年 12 月 14 日 (月) 12 時 12 分 2 秒 (日本時間)
4511e6448Dmitry DomanovDecember 12, 2009 05:19:36 UTC 2009 年 12 月 12 日 (土) 14 時 19 分 36 秒 (日本時間)
5043e61015 / 7364yoyo@homeJanuary 14, 2010 09:06:04 UTC 2010 年 1 月 14 日 (木) 18 時 6 分 4 秒 (日本時間)

11×10190+79

c170

name 名前Serge Batalov
date 日付July 11, 2008 08:09:28 UTC 2008 年 7 月 11 日 (金) 17 時 9 分 28 秒 (日本時間)
composite number 合成数
14580425103543856429218239557227894838393288607886896737485332695873128231906081172844350334927303706014484669393955056785526229808737097235908647250272221184437867212089<170>
prime factors 素因数
1863228909427870138828633619159<31>
composite cofactor 合成数の残り
7825353626582025776538354806681030279556975533141499321701053340837219702251845795735815749187118825483332759959817834394476302231364380271<139>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3684019515
Step 1 took 8095ms
Step 2 took 5253ms
********** Factor found in step 2: 1863228909427870138828633619159
Found probable prime factor of 31 digits: 1863228909427870138828633619159
Composite cofactor 7825353626582025776538354806681030279556975533141499321701053340837219702251845795735815749187118825483332759959817834394476302231364380271 has 139 digits
software ソフトウェア
GMP-ECM 6.2.1

c139

name 名前Ignacio Santos
date 日付October 4, 2010 10:59:36 UTC 2010 年 10 月 4 日 (月) 19 時 59 分 36 秒 (日本時間)
composite number 合成数
7825353626582025776538354806681030279556975533141499321701053340837219702251845795735815749187118825483332759959817834394476302231364380271<139>
prime factors 素因数
16095251512041582297942640941199566527<38>
composite cofactor 合成数の残り
486190204653063446368322743633937785440054226678842774506522619071295628710803996012852107510700219473<102>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3841205249
Step 1 took 74974ms
********** Factor found in step 1: 16095251512041582297942640941199566527
Found probable prime factor of 38 digits: 16095251512041582297942640941199566527
Composite cofactor 486190204653063446368322743633937785440054226678842774506522619071295628710803996012852107510700219473 has 102 digits
software ソフトウェア
GMP-ECM 6.3

c102

name 名前Dmitry Domanov
date 日付October 5, 2010 06:00:07 UTC 2010 年 10 月 5 日 (火) 15 時 0 分 7 秒 (日本時間)
composite number 合成数
486190204653063446368322743633937785440054226678842774506522619071295628710803996012852107510700219473<102>
prime factors 素因数
951928276482113151070588200786740009387173165117<48>
510742475735459487502298897205810118003137014135759269<54>
factorization results 素因数分解の結果
Number: xz2
N=486190204653063446368322743633937785440054226678842774506522619071295628710803996012852107510700219473
  ( 102 digits)
Divisors found:
 r1=951928276482113151070588200786740009387173165117 (pp48)
 r2=510742475735459487502298897205810118003137014135759269 (pp54)
Version: Msieve-1.40
Total time: 4.41 hours.
Scaled time: 8.58 units (timescale=1.946).
Factorization parameters were as follows:
name: xz2
n: 486190204653063446368322743633937785440054226678842774506522619071295628710803996012852107510700219473
skew: 2841.16
# norm 2.89e+014
c5: 1826760
c4: -8122758334
c3: -23834901556079
c2: 127338745435466174
c1: 131616305989648469520
c0: -597151192767193727280
# alpha -6.70
Y1: 53463975653
Y0: -12162606049840496273
# Murphy_E 2.72e-009
# M 169280641283787297926204769678769786083228368446096124485891898866164759176143852427065325336487956302
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 253810 x 254036
Total sieving time: 4.20 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 4.41 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
3025e4430Makoto KamadaJanuary 30, 2008 09:00:00 UTC 2008 年 1 月 30 日 (水) 18 時 0 分 0 秒 (日本時間)

11×10192+79

c180

name 名前matsui
date 日付February 11, 2011 14:09:09 UTC 2011 年 2 月 11 日 (金) 23 時 9 分 9 秒 (日本時間)
composite number 合成数
181422908351649392885166720305970460299469152998703036750017884188672839650609393973391411835701242189086878222055929950913341318653536011602608274517912857627127482976740313571581<180>
prime factors 素因数
5943646488646680244240359352879281079399923899363990543540725827473602014899<76>
30523838976324769139063174073507687058095369419409360605544779846787974296574340527115711137602941061519<104>
factorization results 素因数分解の結果
N=181422908351649392885166720305970460299469152998703036750017884188672839650609393973391411835701242189086878222055929950913341318653536011602608274517912857627127482976740313571581
  ( 180 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=5943646488646680244240359352879281079399923899363990543540725827473602014899 (pp76)
 r2=30523838976324769139063174073507687058095369419409360605544779846787974296574340527115711137602941061519 (pp104)
Version: Msieve v. 1.48
Total time:
Scaled time: 35.25 units (timescale=0.663).
Factorization parameters were as follows:
n: 181422908351649392885166720305970460299469152998703036750017884188672839650609393973391411835701242189086878222055929950913341318653536011602608274517912857627127482976740313571581
m: 100000000000000000000000000000000000000
deg: 5
c5: 1100
c0: 7
skew: 0.36
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5750000, 21430001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2485690 x 2485915
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,193.000,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 30, 2008 09:00:00 UTC 2008 年 1 月 30 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 4, 2010 11:04:16 UTC 2010 年 10 月 4 日 (月) 20 時 4 分 16 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 4, 2010 11:04:16 UTC 2010 年 10 月 4 日 (月) 20 時 4 分 16 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 4, 2010 11:04:16 UTC 2010 年 10 月 4 日 (月) 20 時 4 分 16 秒 (日本時間)

11×10194+79

c150

name 名前Ignacio Santos
date 日付October 4, 2010 11:43:54 UTC 2010 年 10 月 4 日 (月) 20 時 43 分 54 秒 (日本時間)
composite number 合成数
402166655971584329548269280570313639355418500184908982256107065097882592882016302491757882016748356491816794597294378081046140198709715814923109845169<150>
prime factors 素因数
9006289801007527438832578725595682998619<40>
composite cofactor 合成数の残り
44653976815913054746832935775652172253819476987160954136507566626876476461866672058562974796392188154385172451<110>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=208861121
Step 1 took 20764ms
Step 2 took 12153ms
********** Factor found in step 2: 9006289801007527438832578725595682998619
Found probable prime factor of 40 digits: 9006289801007527438832578725595682998619
Composite cofactor 44653976815913054746832935775652172253819476987160954136507566626876476461866672058562974796392188154385172451 has 110 digits
software ソフトウェア
GMP-ECM 6.3

c110

name 名前Dmitry Domanov
date 日付October 5, 2010 15:18:30 UTC 2010 年 10 月 6 日 (水) 0 時 18 分 30 秒 (日本時間)
composite number 合成数
44653976815913054746832935775652172253819476987160954136507566626876476461866672058562974796392188154385172451<110>
prime factors 素因数
10890502543894832094398953776321620047786091<44>
4100267791677426132456268915229285845122287704832535130695627129961<67>
factorization results 素因数分解の結果
Number: xz6
N=44653976815913054746832935775652172253819476987160954136507566626876476461866672058562974796392188154385172451
  ( 110 digits)
Divisors found:
 r1=10890502543894832094398953776321620047786091 (pp44)
 r2=4100267791677426132456268915229285845122287704832535130695627129961 (pp67)
Version: Msieve-1.40
Total time: 13.86 hours.
Scaled time: 27.06 units (timescale=1.952).
Factorization parameters were as follows:
name: xz6
n: 44653976815913054746832935775652172253819476987160954136507566626876476461866672058562974796392188154385172451
skew: 11868.91
# norm 2.14e+014
c5: 50220
c4: -390546390
c3: -2154564582113
c2: 150091511179948480
c1: -560523821398734402296
c0: -4956110698586314343797608
# alpha -5.18
Y1: 114569201857
Y0: -976780016660745595427
# Murphy_E 1.11e-009
# M 44114464084102109290857710922686429710177035752782709636369453468562205497336823969147578390835541271282642765
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 436199 x 436429
Total sieving time: 13.51 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 13.86 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
3025e4430Makoto KamadaJanuary 30, 2008 09:00:00 UTC 2008 年 1 月 30 日 (水) 18 時 0 分 0 秒 (日本時間)

11×10195+79

c111

name 名前Jo Yeong Uk
date 日付February 6, 2008 03:11:14 UTC 2008 年 2 月 6 日 (水) 12 時 11 分 14 秒 (日本時間)
composite number 合成数
352412179127720740013907904143564416698937087894671770725472299693443506152847629222680315553965315424565961339<111>
prime factors 素因数
4691572442730948975926971646226019258011380478343997<52>
75116005013147098086271597306014879649488629658821732388887<59>
factorization results 素因数分解の結果
Number: 12223_195
N=352412179127720740013907904143564416698937087894671770725472299693443506152847629222680315553965315424565961339
  ( 111 digits)
Divisors found:
 r1=4691572442730948975926971646226019258011380478343997 (pp52)
 r2=75116005013147098086271597306014879649488629658821732388887 (pp59)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 20.99 hours.
Scaled time: 38.89 units (timescale=1.853).
Factorization parameters were as follows:
name: 12223_195
n: 352412179127720740013907904143564416698937087894671770725472299693443506152847629222680315553965315424565961339
skew: 34427.94
# norm 1.21e+15
c5: 2940
c4: -1952990832
c3: -13969156205551
c2: 2547772263330774383
c1: -2753925105065485237741
c0: -55382786679887219119766175
# alpha -5.69
Y1: 32531887111
Y0: -2604602399830499331596
# Murphy_E 8.81e-10
# M 309779091830781573053660742294457742119204166492528584961833291120202055958849242113189450704981453714341382827
type: gnfs
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1200000, 2040001)
Primes: RFBsize:176302, AFBsize:175883, largePrimes:7508048 encountered
Relations: rels:7241972, finalFF:409200
Max relations in full relation-set: 28
Initial matrix: 352265 x 409200 with sparse part having weight 39556757.
Pruned matrix : 313974 x 315799 with weight 27717209.
Total sieving time: 20.26 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.49 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,50,50,2.6,2.6,60000
total time: 20.99 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406453)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)
execution environment 実行環境
Core 2 Quad Q6600

11×10196+79

c168

name 名前Bob Backstrom
date 日付March 11, 2021 02:44:59 UTC 2021 年 3 月 11 日 (木) 11 時 44 分 59 秒 (日本時間)
composite number 合成数
514182318637236440740249085071662076341031083587975225357453440629819084963854880011619570378400957940082842666244297134256632656621429053308274332387473754590025969921<168>
prime factors 素因数
51991580729985996332293233594061686548889389713930533000769003735050581381147<77>
9889722747757950946442030523265408977186175660815709788658262677469977687011637109637229843<91>
factorization results 素因数分解の結果
Number: n
N=514182318637236440740249085071662076341031083587975225357453440629819084963854880011619570378400957940082842666244297134256632656621429053308274332387473754590025969921  ( 168 digits)
SNFS difficulty: 197 digits.
Divisors found:

Thu Mar 11 13:23:39 2021  p77 factor: 51991580729985996332293233594061686548889389713930533000769003735050581381147
Thu Mar 11 13:23:39 2021  p91 factor: 9889722747757950946442030523265408977186175660815709788658262677469977687011637109637229843
Thu Mar 11 13:23:39 2021  elapsed time 01:32:26 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.862).
Factorization parameters were as follows:
#
# N = 11x10^196+7 = 12(195)3
#
n: 514182318637236440740249085071662076341031083587975225357453440629819084963854880011619570378400957940082842666244297134256632656621429053308274332387473754590025969921
m: 1000000000000000000000000000000000000000
deg: 5
c5: 110
c0: 7
skew: 0.58
# Murphy_E = 1.935e-11
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3808115 hash collisions in 28423139 relations (26101463 unique)
Msieve: matrix is 1799450 x 1799675 (626.7 MB)

Sieving start time : 2021/03/11 05:27:28
Sieving end time  : 2021/03/11 11:49:43

Total sieving time: 6hrs 22min 15secs.

Total relation processing time: 1hrs 18min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 4sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13500000,13500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116745] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.152613] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.150217] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 30, 2008 09:00:00 UTC 2008 年 1 月 30 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 4, 2010 15:31:07 UTC 2010 年 10 月 5 日 (火) 0 時 31 分 7 秒 (日本時間)
403e61410110Ignacio SantosOctober 4, 2010 15:31:07 UTC 2010 年 10 月 5 日 (火) 0 時 31 分 7 秒 (日本時間)
300Warut RoonguthaiFebruary 25, 2013 18:00:34 UTC 2013 年 2 月 26 日 (火) 3 時 0 分 34 秒 (日本時間)
1000Dmitry DomanovMarch 6, 2013 15:25:56 UTC 2013 年 3 月 7 日 (木) 0 時 25 分 56 秒 (日本時間)
4511e653232Ignacio SantosOctober 4, 2010 15:31:07 UTC 2010 年 10 月 5 日 (火) 0 時 31 分 7 秒 (日本時間)
500Dmitry DomanovMarch 12, 2013 14:15:26 UTC 2013 年 3 月 12 日 (火) 23 時 15 分 26 秒 (日本時間)
5043e61296 / 5817iveliveAugust 5, 2020 08:20:20 UTC 2020 年 8 月 5 日 (水) 17 時 20 分 20 秒 (日本時間)
5511e7648 / 17262iveliveAugust 5, 2020 08:20:20 UTC 2020 年 8 月 5 日 (水) 17 時 20 分 20 秒 (日本時間)

11×10197+79

c180

name 名前Bob Backstrom
date 日付March 2, 2021 05:51:28 UTC 2021 年 3 月 2 日 (火) 14 時 51 分 28 秒 (日本時間)
composite number 合成数
735450683748539033296755593179403696500886000747542748299771015244983693168602322530964526609713172169852781303594419501144860222194656726244284231047871519383033752834099733043089<180>
prime factors 素因数
18740247943554111712218372947606809954504721350589<50>
39244447883706061651697247487758996902949181278352806050686696632641364409999662795332778619643605427944000453017889338125922982501<131>
factorization results 素因数分解の結果
Number: n
N=735450683748539033296755593179403696500886000747542748299771015244983693168602322530964526609713172169852781303594419501144860222194656726244284231047871519383033752834099733043089  ( 180 digits)
SNFS difficulty: 198 digits.
Divisors found:

Tue Mar  2 16:43:51 2021  p50 factor: 18740247943554111712218372947606809954504721350589
Tue Mar  2 16:43:51 2021  p131 factor: 39244447883706061651697247487758996902949181278352806050686696632641364409999662795332778619643605427944000453017889338125922982501
Tue Mar  2 16:43:51 2021  elapsed time 01:41:06 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.337).
Factorization parameters were as follows:
#
# N = 11x10^197+7 = 12(196)3
#
n: 735450683748539033296755593179403696500886000747542748299771015244983693168602322530964526609713172169852781303594419501144860222194656726244284231047871519383033752834099733043089
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1100
c0: 7
skew: 0.36
# Murphy_E = 1.822e-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 3332430 hash collisions in 25063253 relations (22981737 unique)
Msieve: matrix is 2126616 x 2126841 (746.4 MB)

Sieving start time : 2021/03/02 09:16:00
Sieving end time  : 2021/03/02 14:46:08

Total sieving time: 5hrs 30min 8secs.

Total relation processing time: 1hrs 26min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 59sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14000000,14000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116873] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.153556] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152039] smpboot: Total of 16 processors activated (102386.65 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 30, 2008 09:00:00 UTC 2008 年 1 月 30 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 4, 2010 15:31:39 UTC 2010 年 10 月 5 日 (火) 0 時 31 分 39 秒 (日本時間)
403e61110110Ignacio SantosOctober 4, 2010 15:31:39 UTC 2010 年 10 月 5 日 (火) 0 時 31 分 39 秒 (日本時間)
1000Dmitry DomanovMarch 6, 2013 15:26:06 UTC 2013 年 3 月 7 日 (木) 0 時 26 分 6 秒 (日本時間)
4511e653232Ignacio SantosOctober 4, 2010 15:31:39 UTC 2010 年 10 月 5 日 (火) 0 時 31 分 39 秒 (日本時間)
500Dmitry DomanovMarch 12, 2013 14:15:41 UTC 2013 年 3 月 12 日 (火) 23 時 15 分 41 秒 (日本時間)
5043e62592 / 73901296iveliveAugust 7, 2020 07:48:18 UTC 2020 年 8 月 7 日 (金) 16 時 48 分 18 秒 (日本時間)
1296iveliveAugust 8, 2020 16:22:36 UTC 2020 年 8 月 9 日 (日) 1 時 22 分 36 秒 (日本時間)

11×10199+79

c167

name 名前Ignacio Santos
date 日付October 4, 2010 15:29:51 UTC 2010 年 10 月 5 日 (火) 0 時 29 分 51 秒 (日本時間)
composite number 合成数
90852757047313159453443346407930243749992349665298486245740926955474370479735929344899586147822933622433918129388777509634081865310307478713335002506807643411317152157<167>
prime factors 素因数
32276034564203421005080964501988195557<38>
composite cofactor 合成数の残り
2814867386096921032550976399679534542696872220813913606016222972936067156360104966302567882566673175465263894775169277001267123801<130>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2952330203
Step 1 took 23571ms
Step 2 took 13385ms
********** Factor found in step 2: 32276034564203421005080964501988195557
Found probable prime factor of 38 digits: 32276034564203421005080964501988195557
Composite cofactor 2814867386096921032550976399679534542696872220813913606016222972936067156360104966302567882566673175465263894775169277001267123801 has 130 digits
software ソフトウェア
GMP-ECM 6.3

c130

name 名前Erik Branger
date 日付October 19, 2010 16:06:58 UTC 2010 年 10 月 20 日 (水) 1 時 6 分 58 秒 (日本時間)
composite number 合成数
2814867386096921032550976399679534542696872220813913606016222972936067156360104966302567882566673175465263894775169277001267123801<130>
prime factors 素因数
22764990341568361020975179930522404251385190195564120237112259<62>
123648960261451831698550431001808083119763441455810235056574155452339<69>
factorization results 素因数分解の結果
Number: 12223_199
N = 2814867386096921032550976399679534542696872220813913606016222972936067156360104966302567882566673175465263894775169277001267123801 (130 digits)
Divisors found:
r1=22764990341568361020975179930522404251385190195564120237112259 (pp62)
r2=123648960261451831698550431001808083119763441455810235056574155452339 (pp69)
Version: Msieve v. 1.47
Total time: 117.04 hours.
Factorization parameters were as follows:
# Murphy_E = 9.184e-11, selected by Erik Branger
n: 2814867386096921032550976399679534542696872220813913606016222972936067156360104966302567882566673175465263894775169277001267123801
Y0: -13251727767353152417108366
Y1: 142940840472851
c0: -89645338275348583905245469394245
c1: 1270025442978752583467234334
c2: -1100208458911319938317
c3: -5435680151451944
c4: 3342508340
c5: 6888
skew: 615787.32
type: gnfs
# selected mechanically
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [4750000, 9250000)
Relations: 17383932
Relations in full relation-set: 2285974 relations
Pruned matrix : 1345517 x 1345744
Polynomial selection time: 0.00 hours.
Total sieving time: 114.92 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.75 hours.
time per square root: 0.23 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,9500000,9500000,28,28,53,53,2.5,2.5,100000
total time: 117.04 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 30, 2008 09:00:00 UTC 2008 年 1 月 30 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 5, 2010 17:59:39 UTC 2010 年 10 月 6 日 (水) 2 時 59 分 39 秒 (日本時間)
403e62446110Ignacio SantosOctober 5, 2010 17:59:39 UTC 2010 年 10 月 6 日 (水) 2 時 59 分 39 秒 (日本時間)
2336Wataru SakaiOctober 6, 2010 14:52:10 UTC 2010 年 10 月 6 日 (水) 23 時 52 分 10 秒 (日本時間)
4511e632 / 3924Ignacio SantosOctober 5, 2010 17:59:39 UTC 2010 年 10 月 6 日 (水) 2 時 59 分 39 秒 (日本時間)

11×10200+79

c179

name 名前Robert Backstrom
date 日付September 25, 2012 12:23:14 UTC 2012 年 9 月 25 日 (火) 21 時 23 分 14 秒 (日本時間)
composite number 合成数
21503797060629207788041311113142595607106794758714414939107947093557289679513580365488711214575423194000923782261062194974276727463284975122226731773876242441686214605714508575399<179>
prime factors 素因数
100976386897930840667582898895472872933029457<45>
212958670053878241979387237481202642382576231680421065274351642757327182970914673715613208743456367259359926467607280806945021519135607<135>
factorization results 素因数分解の結果
Number: n
N=21503797060629207788041311113142595607106794758714414939107947093557289679513580365488711214575423194000923782261062194974276727463284975122226731773876242441686214605714508575399
  ( 179 digits)
SNFS difficulty: 201 digits.
Divisors found:

Tue Sep 25 20:10:48 2012  prp45 factor: 100976386897930840667582898895472872933029457
Tue Sep 25 20:10:48 2012  prp135 factor: 212958670053878241979387237481202642382576231680421065274351642757327182970914673715613208743456367259359926467607280806945021519135607
Tue Sep 25 20:10:48 2012  elapsed time 04:39:19 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.076).
Factorization parameters were as follows:
name: KA_12223_200
n: 21503797060629207788041311113142595607106794758714414939107947093557289679513580365488711214575423194000923782261062194974276727463284975122226731773876242441686214605714508575399
m: 10000000000000000000000000000000000000000
#  c179, diff: 201.04
skew: 0.914
deg: 5
c5: 11
c0: 7
# Murphy_E = 2.005e-11
type: snfs
lss: 1
rlim: 15700000
alim: 15700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15700000/15700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 19250000)
Primes: RFBsize:1013012, AFBsize:1012396,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 6886528 hash collisions in 62304445 relations (57079335 unique)
Msieve: matrix is 1676130 x 1676356 (474.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,15700000,15700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 30, 2008 09:00:00 UTC 2008 年 1 月 30 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 4, 2010 16:12:32 UTC 2010 年 10 月 5 日 (火) 1 時 12 分 32 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 4, 2010 16:12:32 UTC 2010 年 10 月 5 日 (火) 1 時 12 分 32 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 4, 2010 16:12:32 UTC 2010 年 10 月 5 日 (火) 1 時 12 分 32 秒 (日本時間)

11×10201+79

c202

name 名前Jo Yeong Uk
date 日付March 17, 2013 23:25:32 UTC 2013 年 3 月 18 日 (月) 8 時 25 分 32 秒 (日本時間)
composite number 合成数
1222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<202>
prime factors 素因数
31990693821143556763266864693346437912729065345467633585711<59>
20865654655812898395992923997272867580686336368160221022013537<62>
1831025958267534989991940676855458113126117114026561838609198777018936857213364289<82>
factorization results 素因数分解の結果
Number: 12223_201
N=1222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223
  ( 202 digits)
SNFS difficulty: 202 digits.
Divisors found:
 r1=31990693821143556763266864693346437912729065345467633585711
 r2=20865654655812898395992923997272867580686336368160221022013537
 r3=1831025958267534989991940676855458113126117114026561838609198777018936857213364289
Version: 
Total time: 380.54 hours.
Scaled time: 1398.87 units (timescale=3.676).
Factorization parameters were as follows:
n: 1222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223
m: 10000000000000000000000000000000000000000
deg: 5
c5: 110
c0: 7
skew: 0.58
# Murphy_E = 1.197e-11
type: snfs
lss: 1
rlim: 18000000
alim: 18000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6

Factor base limits: 18000000/18000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [9000000, 20000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 39900175
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3467821 x 3468068
Total sieving time: 339.96 hours.
Total relation processing time: 7.98 hours.
Matrix solve time: 31.50 hours.
Time per square root: 1.10 hours.
Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,18000000,18000000,29,29,56,56,2.6,2.6,100000
total time: 380.54 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 36991712k/38797312k available (5073k kernel code, 1057684k absent, 747916k reserved, 7245k data, 1252k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.73 BogoMIPS (lpj=3333367)
Total of 12 processors activated (80000.80 BogoMIPS).
x86info v1.25.  Dave Jones 2001-2009
Feedback to <davej@redhat.com>.

Found 12 CPUs
--------------------------------------------------------------------------
CPU #1
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x0 Package: 0  Core: 0   SMT ID 0
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #2
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x2 Package: 0  Core: 0   SMT ID 2
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #3
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x4 Package: 0  Core: 0   SMT ID 4
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #4
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x10        Package: 0  Core: 0   SMT ID 16
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #5
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x12        Package: 0  Core: 0   SMT ID 18
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #6
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x14        Package: 0  Core: 0   SMT ID 20
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #7
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x1 Package: 0  Core: 0   SMT ID 1
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #8
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x3 Package: 0  Core: 0   SMT ID 3
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #9
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x5 Package: 0  Core: 0   SMT ID 5
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #10
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x11        Package: 0  Core: 0   SMT ID 17
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #11
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x13        Package: 0  Core: 0   SMT ID 19
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #12
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x15        Package: 0  Core: 0   SMT ID 21
3.35GHz processor (estimate).

--------------------------------------------------------------------------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:04:25 UTC 2013 年 2 月 26 日 (火) 3 時 4 分 25 秒 (日本時間)
403e61964Jo Yeong UkMarch 3, 2013 14:06:15 UTC 2013 年 3 月 3 日 (日) 23 時 6 分 15 秒 (日本時間)

11×10202+79

c156

name 名前ebina
date 日付May 14, 2022 01:21:54 UTC 2022 年 5 月 14 日 (土) 10 時 21 分 54 秒 (日本時間)
composite number 合成数
556992424951976426714263614837335327230996108460318762100298818301088651316790239265389484461201143161600054981208824394180435870909429292404160852205274893<156>
prime factors 素因数
26655033324417590506173629011292903957739885802202936552469400968224933780447<77>
20896331967506427750387622087357480240283485640046826949247575055931309070531219<80>
factorization results 素因数分解の結果
Sat May 14 09:58:59 2022  Msieve v. 1.53 (SVN unknown)
Sat May 14 09:58:59 2022  random seeds: 0bb0bce8 033bd73b
Sat May 14 09:58:59 2022  factoring 556992424951976426714263614837335327230996108460318762100298818301088651316790239265389484461201143161600054981208824394180435870909429292404160852205274893 (156 digits)
Sat May 14 09:59:00 2022  searching for 15-digit factors
Sat May 14 09:59:00 2022  commencing number field sieve (156-digit input)
Sat May 14 09:59:00 2022  R0: -10000000000000000000000000000000000000000
Sat May 14 09:59:00 2022  R1: 1
Sat May 14 09:59:00 2022  A0: 7
Sat May 14 09:59:00 2022  A1: 0
Sat May 14 09:59:00 2022  A2: 0
Sat May 14 09:59:00 2022  A3: 0
Sat May 14 09:59:00 2022  A4: 0
Sat May 14 09:59:00 2022  A5: 1100
Sat May 14 09:59:00 2022  skew 0.36, size 3.237e-14, alpha 0.468, combined = 9.994e-12 rroots = 1
Sat May 14 09:59:00 2022  
Sat May 14 09:59:00 2022  commencing square root phase
Sat May 14 09:59:00 2022  reading relations for dependency 1
Sat May 14 09:59:01 2022  read 1856172 cycles
Sat May 14 09:59:03 2022  cycles contain 6301738 unique relations
Sat May 14 09:59:52 2022  read 6301738 relations
Sat May 14 10:00:19 2022  multiplying 6301738 relations
Sat May 14 10:02:47 2022  multiply complete, coefficients have about 209.20 million bits
Sat May 14 10:02:48 2022  initial square root is modulo 32184821
Sat May 14 10:05:59 2022  GCD is N, no factor found
Sat May 14 10:05:59 2022  reading relations for dependency 2
Sat May 14 10:05:59 2022  read 1856169 cycles
Sat May 14 10:06:02 2022  cycles contain 6302122 unique relations
Sat May 14 10:06:52 2022  read 6302122 relations
Sat May 14 10:07:18 2022  multiplying 6302122 relations
Sat May 14 10:09:45 2022  multiply complete, coefficients have about 209.22 million bits
Sat May 14 10:09:46 2022  initial square root is modulo 32234101
Sat May 14 10:13:04 2022  GCD is 1, no factor found
Sat May 14 10:13:04 2022  reading relations for dependency 3
Sat May 14 10:13:05 2022  read 1854927 cycles
Sat May 14 10:13:07 2022  cycles contain 6295388 unique relations
Sat May 14 10:13:56 2022  read 6295388 relations
Sat May 14 10:14:21 2022  multiplying 6295388 relations
Sat May 14 10:16:40 2022  multiply complete, coefficients have about 208.99 million bits
Sat May 14 10:16:41 2022  initial square root is modulo 31639961
Sat May 14 10:19:19 2022  sqrtTime: 1219
Sat May 14 10:19:19 2022  p77 factor: 26655033324417590506173629011292903957739885802202936552469400968224933780447
Sat May 14 10:19:19 2022  p80 factor: 20896331967506427750387622087357480240283485640046826949247575055931309070531219
Sat May 14 10:19:19 2022  elapsed time 00:20:20

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 17:23:01 UTC 2013 年 2 月 26 日 (火) 2 時 23 分 1 秒 (日本時間)
403e626501650Warut RoonguthaiFebruary 25, 2013 17:23:01 UTC 2013 年 2 月 26 日 (火) 2 時 23 分 1 秒 (日本時間)
1000Dmitry DomanovMarch 6, 2013 15:26:25 UTC 2013 年 3 月 7 日 (木) 0 時 26 分 25 秒 (日本時間)
4511e60--
5043e62486 / 7445iveliveAugust 4, 2020 08:18:20 UTC 2020 年 8 月 4 日 (火) 17 時 18 分 20 秒 (日本時間)

11×10204+79

c166

composite cofactor 合成数の残り
7830500921335557448942206316268815999081376486356219600666676817728679380821879649762616647439400498718488693570469406660488423111768608013694245618942834337337478339<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:01:13 UTC 2013 年 2 月 26 日 (火) 3 時 1 分 13 秒 (日本時間)
403e61300300Warut RoonguthaiFebruary 25, 2013 18:01:13 UTC 2013 年 2 月 26 日 (火) 3 時 1 分 13 秒 (日本時間)
1000Dmitry DomanovMarch 6, 2013 15:26:35 UTC 2013 年 3 月 7 日 (木) 0 時 26 分 35 秒 (日本時間)
4511e6500 / 4128Dmitry DomanovMarch 12, 2013 14:15:57 UTC 2013 年 3 月 12 日 (火) 23 時 15 分 57 秒 (日本時間)

11×10205+79

c202

name 名前Robert Backstrom
date 日付February 6, 2014 09:39:15 UTC 2014 年 2 月 6 日 (木) 18 時 39 分 15 秒 (日本時間)
composite number 合成数
1318612819314081586171347742175231656297574951151388739046523057743254096690281823521655218709917167140168542693086872610014264993227125064432217307392622960645401038107910478176957840351949748864194867<202>
prime factors 素因数
1965892939139606515822302110827975019320658610462713<52>
670744979577161610918873656705012850888243475899701689215708968136737425371176105857829429432181001401514952777444272294504803087127331467632968459659<150>
factorization results 素因数分解の結果
Number: n
N=1318612819314081586171347742175231656297574951151388739046523057743254096690281823521655218709917167140168542693086872610014264993227125064432217307392622960645401038107910478176957840351949748864194867
  ( 202 digits)
SNFS difficulty: 206 digits.
Divisors found:

Thu Feb  6 19:11:52 2014  prp52 factor: 1965892939139606515822302110827975019320658610462713
Thu Feb  6 19:11:52 2014  prp150 factor: 670744979577161610918873656705012850888243475899701689215708968136737425371176105857829429432181001401514952777444272294504803087127331467632968459659
Thu Feb  6 19:11:52 2014  elapsed time 06:47:30 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.697).
Factorization parameters were as follows:
#
#  11*10^205+7 - 12(204)3
#
#  c202, diff: 206.04
#
skew: 0.914
n: 1318612819314081586171347742175231656297574951151388739046523057743254096690281823521655218709917167140168542693086872610014264993227125064432217307392622960645401038107910478176957840351949748864194867
m: 100000000000000000000000000000000000000000
deg: 5
c5: 11
c0: 7
# Murphy_E = 1.235e-11
type: snfs
lss: 1
rlim: 19000000
alim: 19000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 19000000/19000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 19500000)
Primes: RFBsize:1211050, AFBsize:1210743,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8631963 hash collisions in 61425308 relations (55244341 unique)
Msieve: matrix is 2033651 x 2033876 (576.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 5hrs 40min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 18min 50sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19000000,19000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:04:58 UTC 2013 年 2 月 26 日 (火) 3 時 4 分 58 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:26:45 UTC 2013 年 3 月 7 日 (木) 0 時 26 分 45 秒 (日本時間)
4511e61750 / 4194500Dmitry DomanovMarch 12, 2013 14:16:11 UTC 2013 年 3 月 12 日 (火) 23 時 16 分 11 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:38 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 38 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:11 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 11 秒 (日本時間)

11×10206+79

c177

name 名前Bob Backstrom
date 日付July 16, 2021 05:51:39 UTC 2021 年 7 月 16 日 (金) 14 時 51 分 39 秒 (日本時間)
composite number 合成数
159300746292702164711228513735333094602011419111873152997448234828773637123210409420735955908840465541139819516072671419145643397474652779464185274526483192404753406583863271409<177>
prime factors 素因数
1735784046092506279553067958450706100020287253<46>
293684347874005611238106555315466611341377192696404686457019077<63>
312493736490286981301476308643383351776807599952737025720534911415689<69>
factorization results 素因数分解の結果
#
# N = 11x10^206+7 = 12(205)3
#
n: 159300746292702164711228513735333094602011419111873152997448234828773637123210409420735955908840465541139819516072671419145643397474652779464185274526483192404753406583863271409
m: 100000000000000000000000000000000000000000
deg: 5
c5: 110
c0: 7
skew: 0.58
# Murphy_E = 7.371e-12
type: snfs
lss: 1
rlim: 19800000
alim: 19800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 159300746292702164711228513735333094602011419111873152997448234828773637123210409420735955908840465541139819516072671419145643397474652779464185274526483192404753406583863271409 (177 digi
ts)
Using B1=47460000, B2=240494804566, polynomial Dickson(12), sigma=1:3619816281
Step 1 took 128643ms
Step 2 took 38859ms
********** Factor found in step 2: 1735784046092506279553067958450706100020287253
Found prime factor of 46 digits: 1735784046092506279553067958450706100020287253
Composite cofactor 91774519215861283115398355651006236070167920385727507639195069299851191716046029205121981221497968431503813420292838680128950099053 has 131 digits



CADO

STA:Fri 16 Jul 2021 07:37:25 AEST (91,774,519,215,861,283,115,398,355,651,006,236,070,167,920,385,727,507,639,195,069,299,851,191,716,046,029,205,121,981,221,497,968,431,503,813,420,292,838,680,128,950,0
99,053 - C131)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 91774519215861283115398355651006236070167920385727507639195069299851191716046029205121981221497968431503813420292838680128950099053 2>&1 | tee -a log30

Debug:root: Looking for parameter file for c131 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.0vcd0yo0
Info:Database: Opened connection to database /tmp/cado.0vcd0yo0/c130.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0

Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 9177451921586128311539835565100623607016792038572750763919506929985119171604602920512
1981221497968431503813420292838680128950099053
Debug:root: Root parameter dictionary:
N = 91774519215861283115398355651006236070167920385727507639195069299851191716046029205121981221497968431503813420292838680128950099053
...
n: 91774519215861283115398355651006236070167920385727507639195069299851191716046029205121981221497968431503813420292838680128950099053
skew: 46086.54
c0: 165104780061149341883518670100
c1: 11882782231076582340225115
c2: -361222687847751274058
c3: -32129147761755155
c4: 132460255998
c5: 791280
Y0: -21748077732142219661013882
Y1: 160980116922002461
# MurphyE (Bf=4.53e+07,Bg=1.19e+07,area=6.08e+15) = 1.58e-09
# f(x) = 791280*x^5+132460255998*x^4-32129147761755155*x^3-361222687847751274058*x^2+11882782231076582340225115*x+165104780061149341883518670100
# g(x) = 160980116922002461*x-21748077732142219661013882
...
Info:Square Root: Factors: 312493736490286981301476308643383351776807599952737025720534911415689 293684347874005611238106555315466611341377192696404686457019077
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1855.76/256.061
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): 38744/38.580/46.795/52.690/0.837
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 38744/38.000/42.178/47.610/1.230
Info:Polynomial Selection (size optimized): Total time: 5796.52
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2252.62
Info:Polynomial Selection (root optimized): Rootsieve time: 2251.71
Info:Generate Factor Base: Total cpu/real time for makefb: 58.81/5.31305
Info:Generate Free Relations: Total cpu/real time for freerel: 307.24/20.5883
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19199751
Info:Lattice Sieving: Average J: 7613.42 for 83203 special-q, max bucket fill: 0.643651
Info:Lattice Sieving: Total CPU time: 269976s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.11/71.7506
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 71.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 330.24/106.311
Info:Filtering - Singleton removal: Total cpu/real time for purge: 176.76/77.7337
Info:Filtering - Merging: Total cpu/real time for merge: 823.51/709.219
Info:Filtering - Merging: Total cpu/real time for replay: 63.14/51.3425
Info:Linear Algebra: Total cpu/real time for bwc: 61539.5/0.000168562
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 2644.27
Info:Linear Algebra: Lingen CPU time 362.04, WCT time 35.38
Info:Linear Algebra: Mksol: WCT time 1436.32
Info:Quadratic Characters: Total cpu/real time for characters: 61.65/14.5931
Info:Square Root: Total cpu/real time for sqrt: 1855.76/256.061
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 343293/24218.8
Info:root: Cleaning up computation data in /tmp/cado.0vcd0yo0
312493736490286981301476308643383351776807599952737025720534911415689 293684347874005611238106555315466611341377192696404686457019077

END:Fri 16 Jul 2021 14:21:05 AEST (91,774,519,215,861,283,115,398,355,651,006,236,070,167,920,385,727,507,639,195,069,299,851,191,716,046,029,205,121,981,221,497,968,431,503,813,420,292,838,680,128,950,0
99,053 - C131)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:05:15 UTC 2013 年 2 月 26 日 (火) 3 時 5 分 15 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:26:55 UTC 2013 年 3 月 7 日 (木) 0 時 26 分 55 秒 (日本時間)
4511e64344500Dmitry DomanovMarch 12, 2013 14:17:03 UTC 2013 年 3 月 12 日 (火) 23 時 17 分 3 秒 (日本時間)
3844iveliveAugust 12, 2020 15:33:49 UTC 2020 年 8 月 13 日 (木) 0 時 33 分 49 秒 (日本時間)

11×10207+79

c166

name 名前KTakahashi
date 日付February 23, 2013 13:57:56 UTC 2013 年 2 月 23 日 (土) 22 時 57 分 56 秒 (日本時間)
composite number 合成数
1058886242035917517672671211158383335188556883466017424209419269059746167966074709096771123655396714054481119652953831915960349552524492625749275777915990960959477057<166>
prime factors 素因数
13807185278716637924680469868769<32>
composite cofactor 合成数の残り
76690956242048761906214253670229312274829736592230113159107716473882206274064537596615559378087263892010204356583626570801206838726753<134>
factorization results 素因数分解の結果
GMP-ECM 6.4.3 [configured with GMP 5.0.5] [ECM]
Input number is 1058886242035917517672671211158383335188556883466017424209419269059746167966074709096771123655396714054481119652953831915960349552524492625749275777915990960959477057 (166 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2233712096
Step 1 took 17035ms
Step 2 took 5772ms
********** Factor found in step 2: 13807185278716637924680469868769
Found probable prime factor of 32 digits: 13807185278716637924680469868769
Composite cofactor 76690956242048761906214253670229312274829736592230113159107716473882206274064537596615559378087263892010204356583626570801206838726753 has 134 digits

c134

name 名前Warut Roonguthai
date 日付February 24, 2013 18:00:30 UTC 2013 年 2 月 25 日 (月) 3 時 0 分 30 秒 (日本時間)
composite number 合成数
76690956242048761906214253670229312274829736592230113159107716473882206274064537596615559378087263892010204356583626570801206838726753<134>
prime factors 素因数
2483499764675214714411359857878911<34>
262650048280016893022482731708792310206903536687<48>
117571631494968264932751055912252866469598565940307729<54>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3369977731
Step 1 took 16255ms
Step 2 took 10842ms
********** Factor found in step 2: 2483499764675214714411359857878911
Found probable prime factor of 34 digits: 2483499764675214714411359857878911
Composite cofactor 30880194688513769501869071734940071441529053512901226983695550188374809264259435406957038859221153823 has 101 digits

N = 30880194688513769501869071734940071441529053512901226983695550188374809264259435406957038859221153823 (101 digits)
Divisors found:
r1=262650048280016893022482731708792310206903536687 (pp48)
r2=117571631494968264932751055912252866469598565940307729 (pp54)
Version: Msieve v. 1.48
Total time: 1.78 hours.
Factorization parameters were as follows:
n: 30880194688513769501869071734940071441529053512901226983695550188374809264259435406957038859221153823
Y0: -2927876158387994641878326
Y1: 109949581470697
c0: 109972560703984240548121402359
c1: -70375393207441965520990
c2: -28633623789756457
c3: 5666225456
c4: 420
skew: 5636516.80
type: gnfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [0, 0)
Total raw relations: 4741961
Relations: 306674 relations
Pruned matrix : 192759 x 192985
Polynomial selection time: 0.00 hours.
Total sieving time: 1.69 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: gnfs,100,4,58,1500,0.003,0.4,220,15,10000,2000,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 1.78 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 24, 2013 12:52:06 UTC 2013 年 2 月 24 日 (日) 21 時 52 分 6 秒 (日本時間)
403e6254 / 2104KTakahashiFebruary 24, 2013 12:55:57 UTC 2013 年 2 月 24 日 (日) 21 時 55 分 57 秒 (日本時間)

11×10208+79

c172

name 名前Bob Backstrom
date 日付August 5, 2021 15:28:51 UTC 2021 年 8 月 6 日 (金) 0 時 28 分 51 秒 (日本時間)
composite number 合成数
6848515852815313012978572424444808695254835947399727258604986324436856037479286714057898891406423829072041828648576891509465107916885413129003171387272721937884859166856027<172>
prime factors 素因数
81587233803790127287981989675174846743797866198673<50>
83941022798804166000388487570042073519204891372854422657901240117278411265266484078598266194104491165817286034833295513899<122>
factorization results 素因数分解の結果
#
# N = 11x10^208+7 = 12(207)3
#
n: 6848515852815313012978572424444808695254835947399727258604986324436856037479286714057898891406423829072041828648576891509465107916885413129003171387272721937884859166856027
m: 50000000000000000000000000000000000
deg: 6
c6: 176
c0: 175
skew: 1.00
# Murphy_E = 5.823e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 6848515852815313012978572424444808695254835947399727258604986324436856037479286714057898891406423829072041828648576891509465107916885413129003171387272721937884859166856027 (172 digits)
Using B1=44230000, B2=240492041806, polynomial Dickson(12), sigma=1:3122762634
Step 1 took 103979ms
Step 2 took 11134ms
********** Factor found in step 2: 81587233803790127287981989675174846743797866198673
Found prime factor of 50 digits: 81587233803790127287981989675174846743797866198673
Prime cofactor 83941022798804166000388487570042073519204891372854422657901240117278411265266484078598266194104491165817286034833295513899 has 122 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:01:51 UTC 2013 年 2 月 26 日 (火) 3 時 1 分 51 秒 (日本時間)
403e61300300Warut RoonguthaiFebruary 25, 2013 18:01:51 UTC 2013 年 2 月 26 日 (火) 3 時 1 分 51 秒 (日本時間)
1000Dmitry DomanovMarch 6, 2013 15:27:08 UTC 2013 年 3 月 7 日 (木) 0 時 27 分 8 秒 (日本時間)
4511e6500 / 4128Dmitry DomanovMarch 12, 2013 14:17:18 UTC 2013 年 3 月 12 日 (火) 23 時 17 分 18 秒 (日本時間)

11×10209+79

c154

name 名前Warut Roonguthai
date 日付February 25, 2013 13:42:14 UTC 2013 年 2 月 25 日 (月) 22 時 42 分 14 秒 (日本時間)
composite number 合成数
2123263491689406513048297387410144656527634793418146831114281481647601865929776709583617012230980003168950315435290764461111016425328085018894380022040831<154>
prime factors 素因数
864002917910039623229546061387179911<36>
369394546681604097407102582359058047793147<42>
6652704041877762634729892060296794570340092904075612436132995633256448703243<76>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1405287669
Step 1 took 6583ms
Step 2 took 5226ms
********** Factor found in step 2: 864002917910039623229546061387179911
Found probable prime factor of 36 digits: 864002917910039623229546061387179911
Composite cofactor 2457472593756311449732487890386728195035979746397030384343982787922948783815975626407876743029942882498566666052075721 has 118 digits

N = 2457472593756311449732487890386728195035979746397030384343982787922948783815975626407876743029942882498566666052075721 (118 digits)
Divisors found:
r1=369394546681604097407102582359058047793147 (pp42)
r2=6652704041877762634729892060296794570340092904075612436132995633256448703243 (pp76)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 7.37 hours.
Factorization parameters were as follows:
n: 2457472593756311449732487890386728195035979746397030384343982787922948783815975626407876743029942882498566666052075721
Y0: -51060951287260314431151
Y1: 4021017118069
c0: -57215985124067434962225715360
c1: 4471171249891879327357712
c2: -68025338896754443326
c3: -249769573553213
c4: 2260098874
c5: 7080
skew: 145943.81 
type: gnfs
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10328158
Relations: 1023530 relations
Pruned matrix : 590666 x 590901
Polynomial selection time: 0.00 hours.
Total sieving time: 7.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.26 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: gnfs,117,5,63,2000,2.6e-05,0.28,250,20,50000,3600,3800000,3800000,27,27,53,53,2.5,2.5,100000
total time: 7.37 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)

11×10210+79

c154

name 名前Warut Roonguthai
date 日付February 23, 2013 21:17:07 UTC 2013 年 2 月 24 日 (日) 6 時 17 分 7 秒 (日本時間)
composite number 合成数
6289274913917649459992662664484366777225741790956536731882900690307378352462751020160914804436497611021219647846059525914465384342741911409009992908872891<154>
prime factors 素因数
1588887940212700177267932029335822937<37>
3958287274227609188780834166106069469063627202942026106965265497204551566411970520474842596094493082089447005425601843<118>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3895159151
Step 1 took 6615ms
Step 2 took 5163ms
********** Factor found in step 2: 1588887940212700177267932029335822937
Found probable prime factor of 37 digits: 1588887940212700177267932029335822937
Probable prime cofactor 3958287274227609188780834166106069469063627202942026106965265497204551566411970520474842596094493082089447005425601843 has 118 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)

11×10211+79

c182

composite cofactor 合成数の残り
13364143577494578933074807143746175181444949171457909577700945434425971018227693059299330181797176753737934217451903985034938862045855385040357981773555635872442676869247306811246027<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:05:44 UTC 2013 年 2 月 26 日 (火) 3 時 5 分 44 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:27:18 UTC 2013 年 3 月 7 日 (木) 0 時 27 分 18 秒 (日本時間)
4511e6500 / 4194Dmitry DomanovMarch 12, 2013 14:17:34 UTC 2013 年 3 月 12 日 (火) 23 時 17 分 34 秒 (日本時間)

11×10212+79

c191

composite cofactor 合成数の残り
70971287522166207215335271247005756442775227761574381651033749657596468217406031330469628407452073890775559294771443316463321042506475909915064665201553550971829499533264253296324924823346753<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:05:53 UTC 2013 年 2 月 26 日 (火) 3 時 5 分 53 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:27:27 UTC 2013 年 3 月 7 日 (木) 0 時 27 分 27 秒 (日本時間)
4511e6500 / 4194Dmitry DomanovMarch 12, 2013 14:17:47 UTC 2013 年 3 月 12 日 (火) 23 時 17 分 47 秒 (日本時間)

11×10215+79

c156

composite cofactor 合成数の残り
346007275802820456246810564573708454037797257060336391703354955946853423817775773020228975750121237405372001624215665501022297255519832897416360881074152623<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:02:18 UTC 2013 年 2 月 26 日 (火) 3 時 2 分 18 秒 (日本時間)
403e61300300Warut RoonguthaiFebruary 25, 2013 18:02:18 UTC 2013 年 2 月 26 日 (火) 3 時 2 分 18 秒 (日本時間)
1000Dmitry DomanovMarch 6, 2013 15:27:44 UTC 2013 年 3 月 7 日 (木) 0 時 27 分 44 秒 (日本時間)
4511e6500Dmitry DomanovMarch 12, 2013 14:18:01 UTC 2013 年 3 月 12 日 (火) 23 時 18 分 1 秒 (日本時間)
5043e60 / 3498--
5511e71612 / 177271296iveliveAugust 7, 2020 08:08:22 UTC 2020 年 8 月 7 日 (金) 17 時 8 分 22 秒 (日本時間)
316iveliveAugust 9, 2020 01:36:21 UTC 2020 年 8 月 9 日 (日) 10 時 36 分 21 秒 (日本時間)

11×10217+79

c160

composite cofactor 合成数の残り
5592013298164085829557065896781954187481072264147683504840220349177500200118470406392374966832342712018193511192312404941543162468621396131734563307704411118027<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:02:50 UTC 2013 年 2 月 26 日 (火) 3 時 2 分 50 秒 (日本時間)
403e61300300Warut RoonguthaiFebruary 25, 2013 18:02:50 UTC 2013 年 2 月 26 日 (火) 3 時 2 分 50 秒 (日本時間)
1000Dmitry DomanovMarch 6, 2013 15:27:54 UTC 2013 年 3 月 7 日 (木) 0 時 27 分 54 秒 (日本時間)
4511e64596500Dmitry DomanovMarch 12, 2013 14:18:16 UTC 2013 年 3 月 12 日 (火) 23 時 18 分 16 秒 (日本時間)
4096iveliveAugust 16, 2020 06:18:59 UTC 2020 年 8 月 16 日 (日) 15 時 18 分 59 秒 (日本時間)

11×10218+79

c214

name 名前Bob Backstrom
date 日付April 29, 2018 23:38:34 UTC 2018 年 4 月 30 日 (月) 8 時 38 分 34 秒 (日本時間)
composite number 合成数
7671011248491948925012378222696430190310815428495714694170728815805072630529230039680049094471990348473120079220625257153217989218742372574042692664421152464835387072253952314204620738230227968507012001645780595131<214>
prime factors 素因数
4502423804549214757427561243315127863826116558271190865826925622699<67>
1703751486197549311331675835271784514267480080577961443937642181858739510562313286301044260268616739800718753593941115115640961463346689014990341169<148>
factorization results 素因数分解の結果
Number: n
N=7671011248491948925012378222696430190310815428495714694170728815805072630529230039680049094471990348473120079220625257153217989218742372574042692664421152464835387072253952314204620738230227968507012001645780595131
  ( 214 digits)
SNFS difficulty: 219 digits.
Divisors found:

Mon Apr 30 09:31:17 2018  p67 factor: 4502423804549214757427561243315127863826116558271190865826925622699
Mon Apr 30 09:31:17 2018  p148 factor: 1703751486197549311331675835271784514267480080577961443937642181858739510562313286301044260268616739800718753593941115115640961463346689014990341169
Mon Apr 30 09:31:17 2018  elapsed time 06:14:34 (Msieve 1.53 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.102).
Factorization parameters were as follows:
#
# 11x10^218+7 = 12(217)3
#
n: 7671011248491948925012378222696430190310815428495714694170728815805072630529230039680049094471990348473120079220625257153217989218742372574042692664421152464835387072253952314204620738230227968507012001645780595131
m: 1000000000000000000000000000000000000
deg: 6
c6: 1100
c0: 7
skew: 0.43
# Murphy_E = 2.78e-12
type: snfs
lss: 1
rlim: 31000000
alim: 31000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 31000000/31000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 63500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14056820 hash collisions in 76511312 relations (63599517 unique)
Msieve: matrix is 3893389 x 3893616 (1103.5 MB)

Sieving start time: 2018/04/28 13:24:31
Sieving end time  : 2018/04/30 03:14:47

Total sieving time: 37hrs 50min 16secs.

Total relation processing time: 5hrs 30min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 22min 0sec.

Prototype def-par.txt line would be:
snfs,219,6,0,0,0,0,0,0,0,0,31000000,31000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16292580K/16703460K available (12300K kernel code, 2482K rwdata, 4000K rodata, 2376K init, 2372K bss, 410880K reserved, 0K cma-reserved)
[    0.100643] x86/mm: Memory block size: 128MB
[    0.004000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.48 BogoMIPS (lpj=11976968)
[    0.098224] smpboot: Total of 16 processors activated (95815.74 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:06:15 UTC 2013 年 2 月 26 日 (火) 3 時 6 分 15 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:28:03 UTC 2013 年 3 月 7 日 (木) 0 時 28 分 3 秒 (日本時間)
4511e64450500Dmitry DomanovMarch 12, 2013 14:18:29 UTC 2013 年 3 月 12 日 (火) 23 時 18 分 29 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:51 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 51 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:02 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 2 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:27 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 27 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:35 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 35 秒 (日本時間)

11×10219+79

c201

name 名前Erik Branger
date 日付May 9, 2020 13:14:31 UTC 2020 年 5 月 9 日 (土) 22 時 14 分 31 秒 (日本時間)
composite number 合成数
277315146465888265614090891374995727258223928873807044479297154267580650692548142703695807856077201313138326578991249400726069071865672774384013318357731254446115630110291674321631053836875877147719063<201>
prime factors 素因数
329192534465519545414186550086379403492907164834023<51>
93849749565050433436350570373761970771453650132270434143303<59>
8976158133836644924074222800532213438501993927358140015754526288005629057170762115199033127<91>
factorization results 素因数分解の結果
Number: 12223_219
N = 277315146465888265614090891374995727258223928873807044479297154267580650692548142703695807856077201313138326578991249400726069071865672774384013318357731254446115630110291674321631053836875877147719063 (201 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=329192534465519545414186550086379403492907164834023 (pp51)
r2=93849749565050433436350570373761970771453650132270434143303 (pp59)
r3=8976158133836644924074222800532213438501993927358140015754526288005629057170762115199033127 (pp91)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 60.06 hours.
Factorization parameters were as follows:
n: 277315146465888265614090891374995727258223928873807044479297154267580650692548142703695807856077201313138326578991249400726069071865672774384013318357731254446115630110291674321631053836875877147719063
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 11
c0: 70
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 36953880
Relations: 6961216 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 27.09 hours.
Total relation processing time: 0.60 hours.
Pruned matrix : 5910607 x 5910852
Matrix solve time: 31.72 hours.
time per square root: 0.65 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 60.06 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:06:36 UTC 2013 年 2 月 26 日 (火) 3 時 6 分 36 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:28:15 UTC 2013 年 3 月 7 日 (木) 0 時 28 分 15 秒 (日本時間)
4511e6500 / 4194Dmitry DomanovMarch 12, 2013 14:18:53 UTC 2013 年 3 月 12 日 (火) 23 時 18 分 53 秒 (日本時間)

11×10220+79

c213

name 名前Bob Backstrom
date 日付June 25, 2018 00:00:23 UTC 2018 年 6 月 25 日 (月) 9 時 0 分 23 秒 (日本時間)
composite number 合成数
271120061129390888287194601952260139521193246908982981796227635962391220870173589376062801422811461746496132443983619211814990302614624441373442864753549362734637806803743638620659337320311574822047082113351595537<213>
prime factors 素因数
356046644864148486452323958234036997052844027565265488063849155837045928796528302571<84>
761473433439706212500118463781891650495196180723266119306416965890270063705289588890462352859604593811508671541999065277794325747<129>
factorization results 素因数分解の結果
Number: n
N=271120061129390888287194601952260139521193246908982981796227635962391220870173589376062801422811461746496132443983619211814990302614624441373442864753549362734637806803743638620659337320311574822047082113351595537
  ( 213 digits)
SNFS difficulty: 222 digits.
Divisors found:

Mon Jun 25 09:54:33 2018  p84 factor: 356046644864148486452323958234036997052844027565265488063849155837045928796528302571
Mon Jun 25 09:54:33 2018  p129 factor: 761473433439706212500118463781891650495196180723266119306416965890270063705289588890462352859604593811508671541999065277794325747
Mon Jun 25 09:54:33 2018  elapsed time 07:43:12 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.121).
Factorization parameters were as follows:
#
# 11x10^220+7 = 12(219)3
#
n: 271120061129390888287194601952260139521193246908982981796227635962391220870173589376062801422811461746496132443983619211814990302614624441373442864753549362734637806803743638620659337320311574822047082113351595537
m: 5000000000000000000000000000000000000
deg: 6
c6: 176
c0: 175
skew: 1.00
# Murphy_E = 2.581e-12
type: snfs
lss: 1
rlim: 36000000
alim: 36000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 36000000/36000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 66000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 11996394 hash collisions in 70241889 relations (59586809 unique)
Msieve: matrix is 4218678 x 4218904 (1202.5 MB)

Sieving start time: 2018/06/23 11:19:37
Sieving end time  : 2018/06/25 02:10:05

Total sieving time: 38hrs 50min 28secs.
Total relation processing time: 7hrs 15min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 30sec.

Prototype def-par.txt line would be:
snfs,222,6,0,0,0,0,0,0,0,0,36000000,36000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.036000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16286860K/16703460K available (12300K kernel code, 2470K rwdata, 4240K rodata, 2404K init, 2416K bss, 416600K reserved, 0K cma-reserved)
[    0.068658] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.63 BogoMIPS (lpj=11977272)
[    0.066211] smpboot: Total of 16 processors activated (95818.17 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:06:28 UTC 2013 年 2 月 26 日 (火) 3 時 6 分 28 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:28:25 UTC 2013 年 3 月 7 日 (木) 0 時 28 分 25 秒 (日本時間)
4511e6500 / 4194Dmitry DomanovMarch 12, 2013 14:19:05 UTC 2013 年 3 月 12 日 (火) 23 時 19 分 5 秒 (日本時間)

11×10225+79

c203

composite cofactor 合成数の残り
77418266512704062568632849923694260143905968845196970987782522326901016998371203302029281768203714756260937527204205094847896180181837548539892559792140409562684217287951544103866675224326981804216564467<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:06:50 UTC 2013 年 2 月 26 日 (火) 3 時 6 分 50 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:28:36 UTC 2013 年 3 月 7 日 (木) 0 時 28 分 36 秒 (日本時間)
4511e6500 / 4194Dmitry DomanovMarch 12, 2013 14:19:21 UTC 2013 年 3 月 12 日 (火) 23 時 19 分 21 秒 (日本時間)

11×10226+79

c143

name 名前Warut Roonguthai
date 日付February 23, 2013 17:05:03 UTC 2013 年 2 月 24 日 (日) 2 時 5 分 3 秒 (日本時間)
composite number 合成数
13242193549401730605651125776581099542505637209763839085510435773947776188476865999816770057265113151888906135479879479551920762249278386518317<143>
prime factors 素因数
28268758610254426499468681788057<32>
468439160416409501112236156370889681225862964438280408640618916450935950803360832621269185942999429762895840181<111>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4258251654
Step 1 took 6692ms
Step 2 took 5024ms
********** Factor found in step 2: 28268758610254426499468681788057
Found probable prime factor of 32 digits: 28268758610254426499468681788057
Probable prime cofactor 468439160416409501112236156370889681225862964438280408640618916450935950803360832621269185942999429762895840181 has 111 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)

11×10229+79

c204

composite cofactor 合成数の残り
136136734871314507120319542419446325396717603865449029559213147694276286301490947459938434882731435569901438796830120034330992685462218156865754346944121024160232181407890492673721065222260408603091997379<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:06:56 UTC 2013 年 2 月 26 日 (火) 3 時 6 分 56 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:28:48 UTC 2013 年 3 月 7 日 (木) 0 時 28 分 48 秒 (日本時間)
4511e6500 / 4194Dmitry DomanovMarch 12, 2013 14:19:35 UTC 2013 年 3 月 12 日 (火) 23 時 19 分 35 秒 (日本時間)

11×10230+79

c147

name 名前Warut Roonguthai
date 日付February 24, 2013 09:42:35 UTC 2013 年 2 月 24 日 (日) 18 時 42 分 35 秒 (日本時間)
composite number 合成数
586791423008176770778381757974054646786510931608523616730208967541925482326411053410680269072101021032753014482320592457494587013995495092818803699<147>
prime factors 素因数
37588418260129619449059007223913275261<38>
15610963434196746279867560150662264496903831052106894722586358584889705186519205898162342010708054109327885359<110>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1076633942
Step 1 took 6568ms
Step 2 took 5257ms
********** Factor found in step 2: 37588418260129619449059007223913275261
Found probable prime factor of 38 digits: 37588418260129619449059007223913275261
Probable prime cofactor 15610963434196746279867560150662264496903831052106894722586358584889705186519205898162342010708054109327885359 has 110 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 23, 2013 19:42:03 UTC 2013 年 2 月 24 日 (日) 4 時 42 分 3 秒 (日本時間)

11×10234+79

c167

name 名前Dmitry Domanov
date 日付March 14, 2013 16:36:50 UTC 2013 年 3 月 15 日 (金) 1 時 36 分 50 秒 (日本時間)
composite number 合成数
29957215291499159468565338772823423168981721594331270073847506138589848697829860465617525888573319391171543265338609704135154087713152208796621196170364865652622009447<167>
prime factors 素因数
920415705878179201593650100316264426648527931<45>
14534260814485902473751448184175173320273768981<47>
2239362856626013702537989251802159498260262125863269906134179777220440974577<76>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1202706088
Step 1 took 71489ms
Step 2 took 26849ms
********** Factor found in step 2: 920415705878179201593650100316264426648527931
Found probable prime factor of 45 digits: 920415705878179201593650100316264426648527931
Composite cofactor 32547483816474683161486639175337348020864337116513036638261055296921928483534752605801413151528961882429135823620592196037 has 122 digits

GNFS with YAFU:
prp47 = 14534260814485902473751448184175173320273768981
prp76 = 2239362856626013702537989251802159498260262125863269906134179777220440974577
NFS elapsed time = 19476.8390 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:03:20 UTC 2013 年 2 月 26 日 (火) 3 時 3 分 20 秒 (日本時間)
403e61300300Warut RoonguthaiFebruary 25, 2013 18:03:20 UTC 2013 年 2 月 26 日 (火) 3 時 3 分 20 秒 (日本時間)
1000Dmitry DomanovMarch 6, 2013 15:28:59 UTC 2013 年 3 月 7 日 (木) 0 時 28 分 59 秒 (日本時間)
4511e6500 / 4128Dmitry DomanovMarch 12, 2013 14:19:51 UTC 2013 年 3 月 12 日 (火) 23 時 19 分 51 秒 (日本時間)

11×10235+79

c214

name 名前Warut Roonguthai
date 日付February 23, 2013 18:48:18 UTC 2013 年 2 月 24 日 (日) 3 時 48 分 18 秒 (日本時間)
composite number 合成数
1839015249742097728791281549740034970211003511325489785437863219331301087117196154226793439813820810734522010861951109170615216174406624113286347325533627726662309163753328068920697677751620440114393157615751761723<214>
prime factors 素因数
704918287963732904966069518297793<33>
2608834642458180319897052273708187272419036209534563366601937453041155971049396306801033332457140245328658240520418669426395342626207922113105682682941068239662674697901751869302011<181>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1673096325
Step 1 took 14211ms
********** Factor found in step 1: 704918287963732904966069518297793
Found probable prime factor of 33 digits: 704918287963732904966069518297793
Probable prime cofactor 2608834642458180319897052273708187272419036209534563366601937453041155971049396306801033332457140245328658240520418669426395342626207922113105682682941068239662674697901751869302011 has 181 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)

11×10236+79

c218

composite cofactor 合成数の残り
27898797089596179131564281227191298650246140770442160711754449594212649398912311242271009788684365563599459086719683450109847637302637244477033923480166943150099124245685553055461990745788483194741535296521991139657829<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:07:13 UTC 2013 年 2 月 26 日 (火) 3 時 7 分 13 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:29:09 UTC 2013 年 3 月 7 日 (木) 0 時 29 分 9 秒 (日本時間)
4511e6500 / 4194Dmitry DomanovMarch 12, 2013 14:20:06 UTC 2013 年 3 月 12 日 (火) 23 時 20 分 6 秒 (日本時間)

11×10238+79

c204

composite cofactor 合成数の残り
255431325533692875349009271237536387279185476270236543506329236787158146944429089968277883106813059710668770053083624560956808838198363706459926243521924539696168966508654586735903080824274476843298199839<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:07:19 UTC 2013 年 2 月 26 日 (火) 3 時 7 分 19 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:29:18 UTC 2013 年 3 月 7 日 (木) 0 時 29 分 18 秒 (日本時間)
4511e6500 / 4194Dmitry DomanovMarch 12, 2013 14:20:18 UTC 2013 年 3 月 12 日 (火) 23 時 20 分 18 秒 (日本時間)

11×10239+79

c200

name 名前KTakahashi
date 日付February 23, 2013 14:03:14 UTC 2013 年 2 月 23 日 (土) 23 時 3 分 14 秒 (日本時間)
composite number 合成数
16106650335490235084533109446983433720488845638268585345926257847558803842791993648436610478980342704675924353452417268676060808811995573316057593545172554131036734321615334478840185017605162133887401<200>
prime factors 素因数
70448454714033807995260839577<29>
composite cofactor 合成数の残り
228630285800742788353934958630195951667260155281295948533199901507845948405888298209952780910625246849390075311416264531680914654640807341022953832825240436106358761997713<171>
factorization results 素因数分解の結果
GMP-ECM 6.4.3 [configured with GMP 5.0.5] [ECM]
Input number is 16106650335490235084533109446983433720488845638268585345926257847558803842791993648436610478980342704675924353452417268676060808811995573316057593545172554131036734321615334478840185017605162133887401 (200 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1313700580
Step 1 took 24867ms
Step 2 took 7066ms
********** Factor found in step 2: 70448454714033807995260839577
Found probable prime factor of 29 digits: 70448454714033807995260839577
Composite cofactor 228630285800742788353934958630195951667260155281295948533199901507845948405888298209952780910625246849390075311416264531680914654640807341022953832825240436106358761997713 has 171 digits

c171

name 名前Warut Roonguthai
date 日付February 24, 2013 13:24:42 UTC 2013 年 2 月 24 日 (日) 22 時 24 分 42 秒 (日本時間)
composite number 合成数
228630285800742788353934958630195951667260155281295948533199901507845948405888298209952780910625246849390075311416264531680914654640807341022953832825240436106358761997713<171>
prime factors 素因数
2086698978419020052171011430748163<34>
composite cofactor 合成数の残り
109565533009444275002742126932126430864189983603484395280605227302615184080336199420806933662157735198496969422290063052483703399034597851<138>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4261856217
Step 1 took 7707ms
Step 2 took 5896ms
********** Factor found in step 2: 2086698978419020052171011430748163
Found probable prime factor of 34 digits: 2086698978419020052171011430748163
Composite cofactor 109565533009444275002742126932126430864189983603484395280605227302615184080336199420806933662157735198496969422290063052483703399034597851 has 138 digits
software ソフトウェア
GMP-ECM 6.3

c138

name 名前Erik Branger
date 日付June 4, 2014 15:56:09 UTC 2014 年 6 月 5 日 (木) 0 時 56 分 9 秒 (日本時間)
composite number 合成数
109565533009444275002742126932126430864189983603484395280605227302615184080336199420806933662157735198496969422290063052483703399034597851<138>
prime factors 素因数
92579769503642178158840536067819866919637091544156377154880377<62>
1183471654734826925554832715487731307264919527999463578330748082818741573363<76>
factorization results 素因数分解の結果
Number: 12223_239
N = 109565533009444275002742126932126430864189983603484395280605227302615184080336199420806933662157735198496969422290063052483703399034597851 (138 digits)
Divisors found:
r1=92579769503642178158840536067819866919637091544156377154880377 (pp62)
r2=1183471654734826925554832715487731307264919527999463578330748082818741573363 (pp76)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 123.94 hours.
Factorization parameters were as follows:
# Murphy_E = 2.958e-11, selected by Erik Branger
# expecting poly E from 3.11e-011 to > 3.57e-011
n: 109565533009444275002742126932126430864189983603484395280605227302615184080336199420806933662157735198496969422290063052483703399034597851
Y0: -475909230398431786935189242
Y1: 50890009314949
c0: -33431694935889130107629715496874925
c1: 135984273014219250195396658584
c2: -201480082702004619790221
c3: -33395131719717812
c4: 45113599886
c5: 4488
skew: 2345743.18
type: gnfs
# selected mechanically
rlim: 15200000
alim: 15200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15200000/15200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22545272
Relations: 3843834 relations
Pruned matrix : 2299456 x 2299700
Polynomial selection time: 0.00 hours.
Total sieving time: 120.19 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.53 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,15200000,15200000,28,28,55,55,2.6,2.6,100000
total time: 123.94 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 17:59:16 UTC 2013 年 2 月 26 日 (火) 2 時 59 分 16 秒 (日本時間)
403e66400400Warut RoonguthaiFebruary 25, 2013 17:59:16 UTC 2013 年 2 月 26 日 (火) 2 時 59 分 16 秒 (日本時間)
6000Warut RoonguthaiFebruary 27, 2013 01:00:18 UTC 2013 年 2 月 27 日 (水) 10 時 0 分 18 秒 (日本時間)
4511e63900850Serge BatalovNovember 8, 2013 01:45:46 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 46 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:53 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 53 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:10 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 10 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:14 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 14 秒 (日本時間)

11×10240+79

c231

composite cofactor 合成数の残り
736792604525359640575436414662894056240882962220808294440548462651750887410813129857025138554065295189298072469077393942435260946348031764196324704190289733759095477218148917558114734873020399955753835796001292720307662252098020977<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:07:46 UTC 2013 年 2 月 26 日 (火) 3 時 7 分 46 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:29:39 UTC 2013 年 3 月 7 日 (木) 0 時 29 分 39 秒 (日本時間)
4511e6500 / 4194Dmitry DomanovMarch 12, 2013 14:20:50 UTC 2013 年 3 月 12 日 (火) 23 時 20 分 50 秒 (日本時間)

11×10241+79

c170

composite cofactor 合成数の残り
18598227251473674704866691761156754159668960270776133109800258298981128845113016276379575994690381057866558160663587157684005600666720812010609518772993133330198617210241<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:03:44 UTC 2013 年 2 月 26 日 (火) 3 時 3 分 44 秒 (日本時間)
403e61300300Warut RoonguthaiFebruary 25, 2013 18:03:44 UTC 2013 年 2 月 26 日 (火) 3 時 3 分 44 秒 (日本時間)
1000Dmitry DomanovMarch 6, 2013 15:29:48 UTC 2013 年 3 月 7 日 (木) 0 時 29 分 48 秒 (日本時間)
4511e6500Dmitry DomanovMarch 12, 2013 14:21:02 UTC 2013 年 3 月 12 日 (火) 23 時 21 分 2 秒 (日本時間)
5043e61296 / 7384iveliveAugust 4, 2020 06:19:29 UTC 2020 年 8 月 4 日 (火) 15 時 19 分 29 秒 (日本時間)

11×10242+79

c193

composite cofactor 合成数の残り
1866420211090146613505587808762869281788410212949861586512098077068813258102006350938826482781263426037408137677689620551093744026850675215192489316452272673728640911579834955589165403715654731<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:07:57 UTC 2013 年 2 月 26 日 (火) 3 時 7 分 57 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:29:58 UTC 2013 年 3 月 7 日 (木) 0 時 29 分 58 秒 (日本時間)
4511e64596500Dmitry DomanovMarch 12, 2013 14:21:15 UTC 2013 年 3 月 12 日 (火) 23 時 21 分 15 秒 (日本時間)
4096iveliveAugust 15, 2020 02:24:02 UTC 2020 年 8 月 15 日 (土) 11 時 24 分 2 秒 (日本時間)

11×10243+79

c167

composite cofactor 合成数の残り
12814407495515382042125779010492642541514563358654407890310188765687231639247388129183026422466712690359897678260369385739535853569612397156700243604286984998429183371<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:04:06 UTC 2013 年 2 月 26 日 (火) 3 時 4 分 6 秒 (日本時間)
403e62700300Warut RoonguthaiFebruary 25, 2013 18:04:06 UTC 2013 年 2 月 26 日 (火) 3 時 4 分 6 秒 (日本時間)
1000Dmitry DomanovMarch 6, 2013 15:30:08 UTC 2013 年 3 月 7 日 (木) 0 時 30 分 8 秒 (日本時間)
1400Warut RoonguthaiMarch 12, 2013 09:00:31 UTC 2013 年 3 月 12 日 (火) 18 時 0 分 31 秒 (日本時間)
4511e6500Dmitry DomanovMarch 12, 2013 14:21:31 UTC 2013 年 3 月 12 日 (火) 23 時 21 分 31 秒 (日本時間)
5043e6980 / 7331500Dmitry DomanovMay 16, 2013 08:50:30 UTC 2013 年 5 月 16 日 (木) 17 時 50 分 30 秒 (日本時間)
480Dmitry DomanovMay 28, 2013 10:29:58 UTC 2013 年 5 月 28 日 (火) 19 時 29 分 58 秒 (日本時間)

11×10244+79

c228

composite cofactor 合成数の残り
943395880364792272972740289824745797431580034033287395803457627249318930394463344412575688271942771448288053054976293737801228208895268824193408130432704145591067714385053481702308273871844351585018009531460461418045681573852209<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:08:14 UTC 2013 年 2 月 26 日 (火) 3 時 8 分 14 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:30:18 UTC 2013 年 3 月 7 日 (木) 0 時 30 分 18 秒 (日本時間)
4511e6500 / 4194Dmitry DomanovMarch 12, 2013 14:21:46 UTC 2013 年 3 月 12 日 (火) 23 時 21 分 46 秒 (日本時間)

11×10245+79

c225

composite cofactor 合成数の残り
149384016474288013302913843398987404135011643407114118531597374810407839052510626290523076670880686934208316577352009695267823923849019362188922009991270492728178023549732607357841656725904192848932075387876205913164532558607<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:08:21 UTC 2013 年 2 月 26 日 (火) 3 時 8 分 21 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:30:31 UTC 2013 年 3 月 7 日 (木) 0 時 30 分 31 秒 (日本時間)
4511e6500 / 4194Dmitry DomanovMarch 12, 2013 14:22:05 UTC 2013 年 3 月 12 日 (火) 23 時 22 分 5 秒 (日本時間)

11×10246+79

c230

name 名前Warut Roonguthai
date 日付February 23, 2013 15:00:06 UTC 2013 年 2 月 24 日 (日) 0 時 0 分 6 秒 (日本時間)
composite number 合成数
77858710509272414625248309275922128145968474645040596725540210196514392666378190919674339466977196995150312258998736342943457874043278242823475138142784804733283568195011500759026439523076236614258533629319340193373284124962464469<230>
prime factors 素因数
104834256652138835626360598250529<33>
742683861131607841890840356790995980394301838492618367900119445037022980538608349226342078543981888720019096575914287108484569370278576137670158986219777753266109311283446470917635177351909402871861<198>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=999509403
Step 1 took 11482ms
Step 2 took 6864ms
********** Factor found in step 2: 104834256652138835626360598250529
Found probable prime factor of 33 digits: 104834256652138835626360598250529
Probable prime cofactor 742683861131607841890840356790995980394301838492618367900119445037022980538608349226342078543981888720019096575914287108484569370278576137670158986219777753266109311283446470917635177351909402871861 has 198 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)

11×10247+79

c234

composite cofactor 合成数の残り
530507877215845706261996899357917354469683663510306778461285537243966539494713821681674820171388538392413205999929958982762137796605620228085321155439160313269976297078328944950463584620218715005405964888947891490340129819477832605121<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:08:28 UTC 2013 年 2 月 26 日 (火) 3 時 8 分 28 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:30:42 UTC 2013 年 3 月 7 日 (木) 0 時 30 分 42 秒 (日本時間)
4511e6500 / 4194Dmitry DomanovMarch 12, 2013 14:22:18 UTC 2013 年 3 月 12 日 (火) 23 時 22 分 18 秒 (日本時間)

11×10248+79

c229

name 名前Dmitry Domanov
date 日付March 13, 2013 08:11:49 UTC 2013 年 3 月 13 日 (水) 17 時 11 分 49 秒 (日本時間)
composite number 合成数
2534718514870277743106907811931096635085579077278586866625138128366205331122533552839746428141881329869145762552000308121917767037118681088189603768980558056059644423339384486714043886547059006125984087343569292195057941478546119<229>
prime factors 素因数
303648275717085702080739547032535101361<39>
composite cofactor 合成数の残り
8347547862356110943086040548326257200191620934253832295062181290303421841200677672240057535586742628602959882256837305570589800617956825408308924589255423833464553051181236939917550022002679<190>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2447587363
Step 1 took 131161ms
Step 2 took 42528ms
********** Factor found in step 2: 303648275717085702080739547032535101361
Found probable prime factor of 39 digits: 303648275717085702080739547032535101361

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:08:34 UTC 2013 年 2 月 26 日 (火) 3 時 8 分 34 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:30:51 UTC 2013 年 3 月 7 日 (木) 0 時 30 分 51 秒 (日本時間)
4511e6500 / 4194Dmitry DomanovMarch 12, 2013 14:22:31 UTC 2013 年 3 月 12 日 (火) 23 時 22 分 31 秒 (日本時間)

11×10249+79

c217

name 名前KTakahashi
date 日付February 23, 2013 14:08:55 UTC 2013 年 2 月 23 日 (土) 23 時 8 分 55 秒 (日本時間)
composite number 合成数
1772402764095233901433754947445028154640600111776641743733565260620577391791459471061109533135714751842994291974509811454466801258161929910874484115515601601852456146612302832788524468685785864515950585344929041134961<217>
prime factors 素因数
430471647405464997011476705133<30>
composite cofactor 合成数の残り
4117350758819644835548823753472553269414146651957553434543238440911365070640073982161423902500605599776670508165805659596587730463307945435393356566372427827541140105462584031492658816917<187>
factorization results 素因数分解の結果
GMP-ECM 6.4.3 [configured with GMP 5.0.5] [ECM]
Input number is 1772402764095233901433754947445028154640600111776641743733565260620577391791459471061109533135714751842994291974509811454466801258161929910874484115515601601852456146612302832788524468685785864515950585344929041134961 (217 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2051796119
Step 1 took 30842ms
********** Factor found in step 1: 430471647405464997011476705133
Found probable prime factor of 30 digits: 430471647405464997011476705133
Composite cofactor 4117350758819644835548823753472553269414146651957553434543238440911365070640073982161423902500605599776670508165805659596587730463307945435393356566372427827541140105462584031492658816917 has 187 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:08:45 UTC 2013 年 2 月 26 日 (火) 3 時 8 分 45 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:31:02 UTC 2013 年 3 月 7 日 (木) 0 時 31 分 2 秒 (日本時間)
4511e6500Dmitry DomanovMarch 12, 2013 14:22:46 UTC 2013 年 3 月 12 日 (火) 23 時 22 分 46 秒 (日本時間)
5043e61296 / 7395iveliveAugust 10, 2020 02:49:39 UTC 2020 年 8 月 10 日 (月) 11 時 49 分 39 秒 (日本時間)

11×10250+79

c206

composite cofactor 合成数の残り
11339554037156969575041271848444392812303162727802542909092827393301282005496968521517012890064615279008802037193231346479054396254212531764280574773232787004011169943724421875874191458754932191940264765817<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 23, 2013 13:00:00 UTC 2013 年 2 月 23 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 25, 2013 18:08:52 UTC 2013 年 2 月 26 日 (火) 3 時 8 分 52 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:31:11 UTC 2013 年 3 月 7 日 (木) 0 時 31 分 11 秒 (日本時間)
4511e60--
5043e61200 / 7507500Dmitry DomanovMarch 7, 2013 16:03:21 UTC 2013 年 3 月 8 日 (金) 1 時 3 分 21 秒 (日本時間)
700Dmitry DomanovMarch 22, 2013 05:53:01 UTC 2013 年 3 月 22 日 (金) 14 時 53 分 1 秒 (日本時間)

11×10251+79

c218

composite cofactor 合成数の残り
59204519959440550821657532970802115123700782988078434207023563769039207630271286728091578340449782966630521775638977827413332087905178354868350299031625364341620501812770995127724595943145354220756011582743868076803271<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 14, 2015 23:08:45 UTC 2015 年 11 月 15 日 (日) 8 時 8 分 45 秒 (日本時間)
4511e61000 / 4346Lionel DebrouxJune 10, 2020 17:58:04 UTC 2020 年 6 月 11 日 (木) 2 時 58 分 4 秒 (日本時間)

11×10253+79

c247

composite cofactor 合成数の残り
6940118700004725589914821399515314728389306337028694173133122265396069735069801505665061164843402846193152462483453337449454642317954219570087407009507268607136473585624313835196029646420510751095608147775064191366075930072121082610567289718977559<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Ignacio SantosNovember 13, 2015 17:38:08 UTC 2015 年 11 月 14 日 (土) 2 時 38 分 8 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 23:09:02 UTC 2015 年 11 月 15 日 (日) 8 時 9 分 2 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovFebruary 4, 2016 17:58:01 UTC 2016 年 2 月 5 日 (金) 2 時 58 分 1 秒 (日本時間)

11×10254+79

c248

composite cofactor 合成数の残り
96037048648789282754286679146244606537521282028246591361397628915113987682637365937736736781569756990471291339474989900831270501181561270807627052868307974750637620523222063935704767444977100838813774820884356289418297484885732936857473947986159839<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Ignacio SantosNovember 13, 2015 18:05:15 UTC 2015 年 11 月 14 日 (土) 3 時 5 分 15 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 09:55:48 UTC 2015 年 11 月 14 日 (土) 18 時 55 分 48 秒 (日本時間)
4511e61400 / 4305Markus TervoorenJanuary 19, 2016 12:26:11 UTC 2016 年 1 月 19 日 (火) 21 時 26 分 11 秒 (日本時間)

11×10255+79

c256

name 名前Dmitry Domanov
date 日付November 14, 2015 21:18:59 UTC 2015 年 11 月 15 日 (日) 6 時 18 分 59 秒 (日本時間)
composite number 合成数
1222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<256>
prime factors 素因数
118716979457982403325289001832193804840929<42>
composite cofactor 合成数の残り
10295260440439392438128129130335020538333269032758828587994770820774802924890872531715283884104671601643350119371924829510125621756899907782921687504524832252731255070401556783347009461570161443040598642554517176687<215>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=335487131
Step 1 took 41582ms
Step 2 took 11735ms
********** Factor found in step 2: 118716979457982403325289001832193804840929
Found probable prime factor of 42 digits: 118716979457982403325289001832193804840929

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 09:54:59 UTC 2015 年 11 月 14 日 (土) 18 時 54 分 59 秒 (日本時間)
4511e61000 / 4305Lionel DebrouxJuly 18, 2020 08:41:42 UTC 2020 年 7 月 18 日 (土) 17 時 41 分 42 秒 (日本時間)

11×10256+79

c255

composite cofactor 合成数の残り
118662351672060409924487594390507011866235167206040992448759439050701186623516720604099244875943905070118662351672060409924487594390507011866235167206040992448759439050701186623516720604099244875943905070118662351672060409924487594390507011866235167206041<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 09:53:49 UTC 2015 年 11 月 14 日 (土) 18 時 53 分 49 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovFebruary 5, 2016 14:32:53 UTC 2016 年 2 月 5 日 (金) 23 時 32 分 53 秒 (日本時間)

11×10257+79

c213

composite cofactor 合成数の残り
335202365770691461767316686617101388826555143021577938071737278008200141186956117461691634683085741692920603884880557489809617883827592667824255841022889592152167188011938727084604497917248371665641073726004042669<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 14, 2015 23:09:27 UTC 2015 年 11 月 15 日 (日) 8 時 9 分 27 秒 (日本時間)

11×10258+79

c254

composite cofactor 合成数の残り
15738725706919173058735493544976270294013704137710988349050597141561252974261460296202817804218836965401988516453406933337911871720800729132238204182780975600682774537031075398511688865423879653118485419501425785469722268723002719937960804849816786924839<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 14, 2015 09:53:28 UTC 2015 年 11 月 14 日 (土) 18 時 53 分 28 秒 (日本時間)
4511e6800 / 4346Dmitry DomanovFebruary 5, 2016 14:31:14 UTC 2016 年 2 月 5 日 (金) 23 時 31 分 14 秒 (日本時間)

11×10259+79

c231

composite cofactor 合成数の残り
908511617759576382006856402383346274494510148192550460668977893351294578422364239652862275021238200826450868053949369114930747567439462158772228928368451226452217097445736052039821716181395327303129486224693002531092583155732106387<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 14, 2015 23:09:46 UTC 2015 年 11 月 15 日 (日) 8 時 9 分 46 秒 (日本時間)

11×10260+79

c257

composite cofactor 合成数の残り
13539628029491771598783895227896557241854682864985291040458870302672230222911512376450894230887584161096956045443915168076018857009219255812808488115899215932449564885590143150794529990276085324274091306327929790874290708122545942419654616397720418989943749<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 14, 2015 09:52:30 UTC 2015 年 11 月 14 日 (土) 18 時 52 分 30 秒 (日本時間)
4511e6800 / 4346Dmitry DomanovFebruary 4, 2016 18:09:10 UTC 2016 年 2 月 5 日 (金) 3 時 9 分 10 秒 (日本時間)

11×10262+79

c206

name 名前Dmitry Domanov
date 日付November 15, 2015 09:47:25 UTC 2015 年 11 月 15 日 (日) 18 時 47 分 25 秒 (日本時間)
composite number 合成数
13855775774678426152428031732006537671281036302559223180929343814666115953511117279551474424069734320154004616640180599028621245703916255237546400233481323748278755003425762976570361462834941097300856322033<206>
prime factors 素因数
3717460580903892381240551764159<31>
composite cofactor 合成数の残り
3727215251683832161358770942576801981058037791962361440850190582865577406643774616967355883566468349718578270962166341920355797217409284654794097206470460399157694510683607887<175>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=675447026
Step 1 took 30817ms
********** Factor found in step 1: 3717460580903892381240551764159
Found probable prime factor of 31 digits: 3717460580903892381240551764159

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 14, 2015 23:12:22 UTC 2015 年 11 月 15 日 (日) 8 時 12 分 22 秒 (日本時間)
4511e6600Dmitry DomanovNovember 19, 2015 10:56:50 UTC 2015 年 11 月 19 日 (木) 19 時 56 分 50 秒 (日本時間)
5043e61500 / 7396Erik BrangerDecember 3, 2015 11:41:42 UTC 2015 年 12 月 3 日 (木) 20 時 41 分 42 秒 (日本時間)

11×10263+79

c241

composite cofactor 合成数の残り
5669735650362075044992133741365621878904469906685130463306887762802616996953682221294878964694803137549109120727350874255726494988576214018403011473919068303833304669917736225662543489426339000398859841017784531193860196676694101255765853469<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 14, 2015 23:12:38 UTC 2015 年 11 月 15 日 (日) 8 時 12 分 38 秒 (日本時間)

11×10265+79

c222

composite cofactor 合成数の残り
663199132468021714535945274169151576661025136831680256994534997519352979474056430657318998511073959968622302519742464749623282340445341249920700000246872897501934845957762056831379109304476747125670187284051296964705352431<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 14, 2015 23:12:53 UTC 2015 年 11 月 15 日 (日) 8 時 12 分 53 秒 (日本時間)

11×10266+79

c220

composite cofactor 合成数の残り
1325388194199703920462242510895534031391100085919810219890726298028167880668912359560754510867699058636209567727071327584714291454458060018037049331260867193039980123461527438757113541510742280784901353908473310577715407<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62952600Dmitry DomanovNovember 14, 2015 23:13:07 UTC 2015 年 11 月 15 日 (日) 8 時 13 分 7 秒 (日本時間)
2352iveliveAugust 12, 2020 11:33:21 UTC 2020 年 8 月 12 日 (水) 20 時 33 分 21 秒 (日本時間)

11×10267+79

c221

composite cofactor 合成数の残り
79110849643713419788776472763113985084634427168806224093309595419464158239356487419353349668014479428722129344735548652893678714783285246081071883158927531353296589397443038661443961360713655045391961097509945410700077149<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 1063Dmitry DomanovNovember 14, 2015 23:13:20 UTC 2015 年 11 月 15 日 (日) 8 時 13 分 20 秒 (日本時間)
4511e6369 / 4346iveliveAugust 4, 2020 08:17:16 UTC 2020 年 8 月 4 日 (火) 17 時 17 分 16 秒 (日本時間)

11×10268+79

c169

name 名前Dmitry Domanov
date 日付February 11, 2016 06:19:44 UTC 2016 年 2 月 11 日 (木) 15 時 19 分 44 秒 (日本時間)
composite number 合成数
2641218379613970670108133490338534984987544162251044618790552408820681613536591456815448880147735319658803621524574937364427387824041243135117393144851915661646325236513<169>
prime factors 素因数
694956901659384613762767172127340067286557<42>
composite cofactor 合成数の残り
3800549894975352644960187604617694493342728556673496322976871014647199257993461570635605257260144746926779007436792360082647509<127>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2568597912
Step 1 took 63138ms
Step 2 took 23775ms
********** Factor found in step 2: 694956901659384613762767172127340067286557
Found probable prime factor of 42 digits: 694956901659384613762767172127340067286557

c127

name 名前Dmitry Domanov
date 日付February 17, 2016 08:38:38 UTC 2016 年 2 月 17 日 (水) 17 時 38 分 38 秒 (日本時間)
composite number 合成数
3800549894975352644960187604617694493342728556673496322976871014647199257993461570635605257260144746926779007436792360082647509<127>
prime factors 素因数
98885077331204659972912901720541328267564162031461<50>
38434008422179111556906450765220425799450424842804657610522567417356640014769<77>
factorization results 素因数分解の結果
N = 3800549894975352644960187604617694493342728556673496322976871014647199257993461570635605257260144746926779007436792360082647509 (127 digits)
Divisors found:
r1=98885077331204659972912901720541328267564162031461 (pp50)
r2=38434008422179111556906450765220425799450424842804657610522567417356640014769 (pp77)
Version: Msieve v. 1.52 (SVN exported)
Total time: 11.19 hours.
Factorization parameters were as follows:
n: 3800549894975352644960187604617694493342728556673496322976871014647199257993461570635605257260144746926779007436792360082647509
skew: 198996.42
c0: -2550890707928820720720645406320
c1: -40411266136654621954891804
c2: 1517219679290200594733
c3: 4029212553435818
c4: -22121338212
c5: 30492
Y0: -2625017460051170095723517
Y1: 3788466542347
rlim: 7800000
alim: 7800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 600000
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 15316163
Relations: 1106098 relations
Pruned matrix : 756642 x 756868
Polynomial selection time: 0.00 hours.
Total sieving time: 10.66 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.29 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,126,5,65,2000,1e-05,0.28,250,20,50000,3600,7800000,7800000,27,27,54,54,2.5,2.5,600000
total time: 11.19 hours.
x86_64
Linux-2.6.32-042stab090.5-x86_64-with-centos-6.3-Final
processors: 16, speed: 2.40GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Ignacio SantosNovember 13, 2015 16:12:05 UTC 2015 年 11 月 14 日 (土) 1 時 12 分 5 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 22:48:47 UTC 2015 年 11 月 15 日 (日) 7 時 48 分 47 秒 (日本時間)
4511e61400 / 4305600Dmitry DomanovNovember 19, 2015 08:32:58 UTC 2015 年 11 月 19 日 (木) 17 時 32 分 58 秒 (日本時間)
800Dmitry DomanovFebruary 10, 2016 13:37:33 UTC 2016 年 2 月 10 日 (水) 22 時 37 分 33 秒 (日本時間)

11×10269+79

c221

name 名前ivelive
date 日付September 12, 2020 01:23:13 UTC 2020 年 9 月 12 日 (土) 10 時 23 分 13 秒 (日本時間)
composite number 合成数
74213540997883215528645510694570755273325178736811335314079651897881064046543565312391094618149801016716664753847278617859288970937254022421481269482370281974185771208397988020501830561551426000908491564383120229624676073<221>
prime factors 素因数
3268588202403118851075639540001901996723<40>
composite cofactor 合成数の残り
22705075219729490932208346854283568450452088383927680950547429903161798490343150506414296685443969950541973990881788317050976166906612615958400556069780962603767312472985413251198451<182>
factorization results 素因数分解の結果
prp40 = 3268588202403118851075639540001901996723 (curve 39 stg2 B1=11000000 sigma=2053096764 thread=2)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 14, 2015 23:13:41 UTC 2015 年 11 月 15 日 (日) 8 時 13 分 41 秒 (日本時間)
4511e64480iveliveSeptember 11, 2020 17:53:48 UTC 2020 年 9 月 12 日 (土) 2 時 53 分 48 秒 (日本時間)
5043e6864 / 6525iveliveSeptember 13, 2020 16:41:09 UTC 2020 年 9 月 14 日 (月) 1 時 41 分 9 秒 (日本時間)

11×10271+79

c237

name 名前Dmitry Domanov
date 日付November 15, 2015 09:48:00 UTC 2015 年 11 月 15 日 (日) 18 時 48 分 0 秒 (日本時間)
composite number 合成数
301237939763796264837480611923520178030716937216421904704540786444448447336319400933349907852477556137260706588418191405650630054044543184262917040974847633218518950894868409450140919392898988607407348823079693262581036120029304257079243<237>
prime factors 素因数
2593030531107016697796476245499<31>
116172153065699443027685150395421317396892841369015669579764831933155070625692675287944174852741972533513175271439714526529467453596367498304427928881877043259884224341281184351522861251874500558470075014257<207>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4062704180
Step 1 took 48453ms
Step 2 took 3610ms
********** Factor found in step 2: 2593030531107016697796476245499
Found probable prime factor of 31 digits: 2593030531107016697796476245499

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 14, 2015 23:13:54 UTC 2015 年 11 月 15 日 (日) 8 時 13 分 54 秒 (日本時間)

11×10273+79

c246

name 名前Dmitry Domanov
date 日付November 15, 2015 09:45:59 UTC 2015 年 11 月 15 日 (日) 18 時 45 分 59 秒 (日本時間)
composite number 合成数
150918519310947911732530247786526155963312035016590709063984079347539589565594399994946765736781808612340175808550714379389118562122441122517243377150037269775757162395103731697361521723619557548921913131595719627655061534102516569398547825076577<246>
prime factors 素因数
1477370500342039492553302326391936084843<40>
composite cofactor 合成数の残り
102153467445036564331743223663075542650814163844479513640014035557159653296724861473021026162703361433491780656307120483813965791114045570633209946718740337129383329352372678497443667968295236560918484163939<207>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3164865022
Step 1 took 41154ms
Step 2 took 14406ms
********** Factor found in step 2: 1477370500342039492553302326391936084843
Found probable prime factor of 40 digits: 1477370500342039492553302326391936084843

c207

name 名前ivelive
date 日付August 3, 2020 20:33:11 UTC 2020 年 8 月 4 日 (火) 5 時 33 分 11 秒 (日本時間)
composite number 合成数
102153467445036564331743223663075542650814163844479513640014035557159653296724861473021026162703361433491780656307120483813965791114045570633209946718740337129383329352372678497443667968295236560918484163939<207>
prime factors 素因数
1280856300634019572682912979493976099414513<43>
79754042193859639508551680163100531616083612932032692716378325389530535079598957136978699456277630156642202679210425400136657686531437302903926300801077612156870803<164>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 102153467445036564331743223663075542650814163844479513640014035557159653296724861473021026162703361433491780656307120483813965791114045570633209946718740337129383329352372678497443667968295236560918484163939 (207 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3501933222
Step 1 took 18891ms
Step 2 took 8047ms
********** Factor found in step 2: 1280856300634019572682912979493976099414513
Found prime factor of 43 digits: 1280856300634019572682912979493976099414513
Prime cofactor 79754042193859639508551680163100531616083612932032692716378325389530535079598957136978699456277630156642202679210425400136657686531437302903926300801077612156870803 has 164 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 14, 2015 23:17:18 UTC 2015 年 11 月 15 日 (日) 8 時 17 分 18 秒 (日本時間)
4511e64480iveliveAugust 3, 2020 03:10:54 UTC 2020 年 8 月 3 日 (月) 12 時 10 分 54 秒 (日本時間)

11×10274+79

c252

name 名前Dmitry Domanov
date 日付November 15, 2015 09:45:28 UTC 2015 年 11 月 15 日 (日) 18 時 45 分 28 秒 (日本時間)
composite number 合成数
353399772402086754705796840188930509794198097924708144637901212175472045180392313152455739057828008110498436545989722200898953660893238736040111026777825447104626588159892496177062596510084633754591220074044007716548126057883765502206682394533861175349<252>
prime factors 素因数
13004898805472040291527371617357151<35>
composite cofactor 合成数の残り
27174357731517878040123823645520136452913818613219570146108558104909846192335064585262881969814530248503563914141917078199082417508677091412159298896512677400309226799791087891261402257336797718495900936339966264907499<218>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=679403710
Step 1 took 52549ms
Step 2 took 16385ms
********** Factor found in step 2: 13004898805472040291527371617357151
Found probable prime factor of 35 digits: 13004898805472040291527371617357151

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62400600Dmitry DomanovNovember 14, 2015 23:17:41 UTC 2015 年 11 月 15 日 (日) 8 時 17 分 41 秒 (日本時間)
1800ebinaMay 4, 2022 03:57:49 UTC 2022 年 5 月 4 日 (水) 12 時 57 分 49 秒 (日本時間)

11×10275+79

c269

composite cofactor 合成数の残り
52960881600316070541390686308991019615892058405067643804561443698225622695991010516249674350760978056525341517041343238173702736445420657931106270486532842222263628002382469331918218576972887928467374195157093289196697532749925890875451557716744694896453532339142034681<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62400600Dmitry DomanovNovember 15, 2015 17:43:24 UTC 2015 年 11 月 16 日 (月) 2 時 43 分 24 秒 (日本時間)
1800ebinaMay 4, 2022 13:02:18 UTC 2022 年 5 月 4 日 (水) 22 時 2 分 18 秒 (日本時間)

11×10276+79

c268

composite cofactor 合成数の残り
3661073838200960483986186620634214670527878764256087147903433430297173480490715466656175759735833499828154685645604216322414379307360914687427162623965653408134689931996122585986552068359094101639579268316161287823806492150352656881439705944200127174988177502269856627<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 17:43:38 UTC 2015 年 11 月 16 日 (月) 2 時 43 分 38 秒 (日本時間)

11×10278+79

c263

composite cofactor 合成数の残り
42930867885333357381608795083933181805243826642995217741617791659444397028684294943868621196112586010994148836070169266612555053070012633499623363474868742017363272922984958247000639915548810743683694667036795628944933583172216644955216362359022976923235237257209<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 17:44:05 UTC 2015 年 11 月 16 日 (月) 2 時 44 分 5 秒 (日本時間)

11×10279+79

c210

composite cofactor 合成数の残り
854531083458053723692208477849904595437179044708478202030150523026971638490917642841782888774971233864628937530605445496413342170186454464464292323679057106530733384524139978502806919766200889899678766858542937<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62952600Dmitry DomanovNovember 14, 2015 23:18:21 UTC 2015 年 11 月 15 日 (日) 8 時 18 分 21 秒 (日本時間)
2352iveliveAugust 15, 2020 02:22:43 UTC 2020 年 8 月 15 日 (土) 11 時 22 分 43 秒 (日本時間)

11×10280+79

c218

name 名前Dmitry Domanov
date 日付November 15, 2015 09:46:54 UTC 2015 年 11 月 15 日 (日) 18 時 46 分 54 秒 (日本時間)
composite number 合成数
22554383212232251001274259673451341226077244296818510898807944532864791163125841503560719190189288795523201876634555915120312026172311535658657179735902557316217128557781191166036717242519959253873114268318512909526121<218>
prime factors 素因数
81157473769694676341691640026667<32>
3424474216211584242830039445209299<34>
composite cofactor 合成数の残り
81153739090225133987338015059116681294833257923060765007262894016544714487100916092427062239206277631041582075346297862606430528160449124414678119215737<152>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2977161578
Step 1 took 39755ms
Step 2 took 11633ms
********** Factor found in step 2: 3424474216211584242830039445209299
Found probable prime factor of 34 digits: 3424474216211584242830039445209299

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1554675747
Step 1 took 28040ms
Step 2 took 10207ms
********** Factor found in step 2: 81157473769694676341691640026667
Found probable prime factor of 32 digits: 81157473769694676341691640026667

c152

name 名前Dmitry Domanov
date 日付March 2, 2016 06:15:43 UTC 2016 年 3 月 2 日 (水) 15 時 15 分 43 秒 (日本時間)
composite number 合成数
81153739090225133987338015059116681294833257923060765007262894016544714487100916092427062239206277631041582075346297862606430528160449124414678119215737<152>
prime factors 素因数
305240650415891130140254519309994335393<39>
265868058463553156123654016606558378022722401845144239693991020054814549471808056940933332657248164284795182280409<114>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1030192902
Step 1 took 43441ms
Step 2 took 17174ms
********** Factor found in step 2: 305240650415891130140254519309994335393
Found probable prime factor of 39 digits: 305240650415891130140254519309994335393

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 14, 2015 23:18:43 UTC 2015 年 11 月 15 日 (日) 8 時 18 分 43 秒 (日本時間)
4511e61400 / 4346600Dmitry DomanovNovember 19, 2015 08:31:12 UTC 2015 年 11 月 19 日 (木) 17 時 31 分 12 秒 (日本時間)
800Dmitry DomanovMarch 1, 2016 13:14:52 UTC 2016 年 3 月 1 日 (火) 22 時 14 分 52 秒 (日本時間)

11×10281+79

c270

composite cofactor 合成数の残り
343024503846371366626117666566191146881674102960119020601735498218854572059469008123073203899859894837487988135160447409766108683828619762615074521085997544159140481735395787908322708221260489639126375699047529867246076029748847010602426464735400723540408017004915185197<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 17:44:30 UTC 2015 年 11 月 16 日 (月) 2 時 44 分 30 秒 (日本時間)

11×10283+79

c253

composite cofactor 合成数の残り
3783925568704127655014797999003860754656225535008763819485985246952021631704598157917521395490378002264029998090053434010353249017092101437850182755273230280344561746681878413550293698825076505190190747818884666465427215823425246014468253661181463732891<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 17:44:47 UTC 2015 年 11 月 16 日 (月) 2 時 44 分 47 秒 (日本時間)

11×10284+79

c260

composite cofactor 合成数の残り
11847896131798921110535234676882431097885053407722721642501416585563421947041109884167092086760680711781841126449487811938182829178215357530192836825209903485817996922187844783035420733204431692216847138087818327973806871485944716048952594375787000667230181667<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 17:45:00 UTC 2015 年 11 月 16 日 (月) 2 時 45 分 0 秒 (日本時間)

11×10285+79

c251

composite cofactor 合成数の残り
12820077400322707489801779483310409936591597890260809282146130089056379931194708864150343938778512659945139098377174814733918522790678566441082966136205573742849667515047041010306198924430210231872409142923128048863136703167425591833092374976217248883<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62952600Dmitry DomanovNovember 15, 2015 17:45:14 UTC 2015 年 11 月 16 日 (月) 2 時 45 分 14 秒 (日本時間)
2352iveliveAugust 11, 2020 16:16:54 UTC 2020 年 8 月 12 日 (水) 1 時 16 分 54 秒 (日本時間)

11×10286+79

c269

composite cofactor 合成数の残り
17745263271632769255992709081790071395684718839378354666642817890780818908273087844800842093976235427775457546773426527130860762622287055582567795498211097655769559243500189032908852772309106282910572908047150433393280868845930959109354129747611122448976226305090082197<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 17:45:29 UTC 2015 年 11 月 16 日 (月) 2 時 45 分 29 秒 (日本時間)

11×10287+79

c285

composite cofactor 合成数の残り
331225534477566997892201144233664558867810900331225534477566997892201144233664558867810900331225534477566997892201144233664558867810900331225534477566997892201144233664558867810900331225534477566997892201144233664558867810900331225534477566997892201144233664558867810900331225534477567<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 09:45:14 UTC 2015 年 11 月 14 日 (土) 18 時 45 分 14 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovJanuary 20, 2016 17:14:34 UTC 2016 年 1 月 21 日 (木) 2 時 14 分 34 秒 (日本時間)

11×10288+79

c264

composite cofactor 合成数の残り
729156682232588394180209403650403564330732575611396476387501219877583413157306616536840833314840417640538552069978445308803092001418394439161561170213882485448417453277383259659085967025292125591289736035101236073317227064953588335158882546555347063098632467435487<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 17:45:48 UTC 2015 年 11 月 16 日 (月) 2 時 45 分 48 秒 (日本時間)

11×10290+79

c243

name 名前Dmitry Domanov
date 日付November 15, 2015 23:53:35 UTC 2015 年 11 月 16 日 (月) 8 時 53 分 35 秒 (日本時間)
composite number 合成数
351151686005324526223457420656286625095894604519249932105337497833588555181449965985895555184467199150286251529704938594680548775647673467149329222800054311000977575701996929161111019124089823458008059985012938196469930700754646233791930803643<243>
prime factors 素因数
30105550864126581637645070713652156321143<41>
11664017961011725659032971277771797580323730427932893812998588105501591529137475038219900034758259172095386688334377639794568401575654708913939121544000543331550214382692675761522574982810077251801377501<203>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1822971944
Step 1 took 43111ms
Step 2 took 13272ms
********** Factor found in step 2: 30105550864126581637645070713652156321143
Found probable prime factor of 41 digits: 30105550864126581637645070713652156321143

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 17:46:01 UTC 2015 年 11 月 16 日 (月) 2 時 46 分 1 秒 (日本時間)

11×10291+79

c267

composite cofactor 合成数の残り
957039217303748301278641915583266601170298867138027511868361512257865706293803850948607596594228669355695241827069679378424025457223711952602625627477366578193861097029173149702165629241769014058988407062632181412658145021477034915324608399439189732623679443909977229<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 20:37:29 UTC 2015 年 11 月 16 日 (月) 5 時 37 分 29 秒 (日本時間)

11×10292+79

c255

composite cofactor 合成数の残り
170737973812380705904847625952480956585322454205777702199809647607042149366223662039894679417053893388132913134833442113216594852115370011831429473554363990962635631325867789334421083288579557376760694283441586056629372385537583661961477202341186801684417<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 20:37:18 UTC 2015 年 11 月 16 日 (月) 5 時 37 分 18 秒 (日本時間)

11×10293+79

c263

composite cofactor 合成数の残り
16672313537653585519852109512505175849273360892364047070965066971940534837242656103109006382770123555547028849720935359643116585147453935360060357316009466618412551985145040803364188072462404003749062553846517793882225325704034504713871516337424609961681746591157<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62952600Dmitry DomanovNovember 15, 2015 20:37:03 UTC 2015 年 11 月 16 日 (月) 5 時 37 分 3 秒 (日本時間)
2352iveliveAugust 7, 2020 07:10:41 UTC 2020 年 8 月 7 日 (金) 16 時 10 分 41 秒 (日本時間)

11×10294+79

c234

name 名前Dmitry Domanov
date 日付November 16, 2015 07:27:43 UTC 2015 年 11 月 16 日 (月) 16 時 27 分 43 秒 (日本時間)
composite number 合成数
369497173784070225505584948800015498347396325228616738383704212455336227432729751113569558138981062459672413068078226683932639206193034936791709634876435909584823979885156438702863070755884621993667186337451485652258089112901333021789<234>
prime factors 素因数
35361598899093351471056939235510071<35>
composite cofactor 合成数の残り
10449108221561324652190157771551371850108535094541240452124358256743858102518458639304972079415015024203253684373922057505526144290989999293778992583039616406153254637532621843913880114410157581435659<200>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2453210845
Step 1 took 34930ms
Step 2 took 11755ms
********** Factor found in step 2: 35361598899093351471056939235510071
Found probable prime factor of 35 digits: 35361598899093351471056939235510071

c200

name 名前Serge Batalov
date 日付November 16, 2015 20:59:14 UTC 2015 年 11 月 17 日 (火) 5 時 59 分 14 秒 (日本時間)
composite number 合成数
10449108221561324652190157771551371850108535094541240452124358256743858102518458639304972079415015024203253684373922057505526144290989999293778992583039616406153254637532621843913880114410157581435659<200>
prime factors 素因数
13192397716737182247080207881361272399<38>
792055276525248411759567036955919959778561208087560165344055914183988952131609543140953421070317957114832547255656355348247689264151886326626261821244708870212741<162>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2352235272
Step 1 took 75464ms
Step 2 took 34172ms
********** Factor found in step 2: 13192397716737182247080207881361272399
Found probable prime factor of 38 digits: 13192397716737182247080207881361272399
software ソフトウェア
GMP-ECM 6.4.4 [configured with GMP 6.1.0, --enable-asm-redc] [ECM]

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 15, 2015 20:36:45 UTC 2015 年 11 月 16 日 (月) 5 時 36 分 45 秒 (日本時間)
4511e61800 / 4346Serge BatalovNovember 16, 2015 20:26:19 UTC 2015 年 11 月 17 日 (火) 5 時 26 分 19 秒 (日本時間)

11×10295+79

c266

name 名前Dmitry Domanov
date 日付November 15, 2015 23:54:19 UTC 2015 年 11 月 16 日 (月) 8 時 54 分 19 秒 (日本時間)
composite number 合成数
12343560184585437498504559373996295800309030322517672102707908481879281569875780342542325976229026362979358544905972113399297811695160858651810373197445240685464152480352910562988878018354154220709362170486471472734467681777853381775856234531829907790574539771116607<266>
prime factors 素因数
45174709724844010811341117111213634887643<41>
composite cofactor 合成数の残り
273240498052321686768834907087392371378570623863019081103034057476041304768122430820302526698547038025254999712477105423157140470393688213073677324087189697551333505070970259604995120498778973823298649635718761039332177904749<225>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=158677168
Step 1 took 31803ms
Step 2 took 10936ms
********** Factor found in step 2: 45174709724844010811341117111213634887643
Found probable prime factor of 41 digits: 45174709724844010811341117111213634887643

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 20:35:17 UTC 2015 年 11 月 16 日 (月) 5 時 35 分 17 秒 (日本時間)

11×10296+79

c271

composite cofactor 合成数の残り
1212950430374788501785822313711109737257677537323809619542669994201727012235206966884964831080293310456882411345987426362157074742623027557572095636995975657800122928275372963166688227671354299579114154452306326054208827242233900623342804309013113341130688885884929813751<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 20:35:04 UTC 2015 年 11 月 16 日 (月) 5 時 35 分 4 秒 (日本時間)

11×10297+79

c280

composite cofactor 合成数の残り
4976095942376156492234934165286801666609020270956971994436700768445687064197288006293796985277774349572874343705300536417040680863518559453971397456996509057214914657118166514061613163387351977690715891374631085334765172934747530735442980149589521312619094702518773966107141614571<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62952600Dmitry DomanovNovember 15, 2015 20:34:50 UTC 2015 年 11 月 16 日 (月) 5 時 34 分 50 秒 (日本時間)
2352iveliveAugust 7, 2020 03:17:45 UTC 2020 年 8 月 7 日 (金) 12 時 17 分 45 秒 (日本時間)

11×10298+79

c293

composite cofactor 合成数の残り
89285641813602424024006474020719139026672867960334447780480697661771378432322701036768638986494329144213356969677784352447765870319910454618137485278015196416236675132568885901878326397462339722126848923012237814742033488609181323716458022355501334820345113356239158896786609751128448759376007<293>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 09:41:49 UTC 2015 年 11 月 14 日 (土) 18 時 41 分 49 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovDecember 31, 2015 00:21:21 UTC 2015 年 12 月 31 日 (木) 9 時 21 分 21 秒 (日本時間)

11×10299+79

c285

composite cofactor 合成数の残り
240728833597316310423167071535795432173410559351386266646812720341726123872748695596803959624652880899230381125831885430237463356032709482791210149146943756924127139404439932913704009419783954025796000813925643392952070415571673728400238362726424356740052656199782308752442163967218973<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62952600Dmitry DomanovNovember 15, 2015 20:34:35 UTC 2015 年 11 月 16 日 (月) 5 時 34 分 35 秒 (日本時間)
2352iveliveAugust 6, 2020 09:11:15 UTC 2020 年 8 月 6 日 (木) 18 時 11 分 15 秒 (日本時間)

11×10300+79

c260

name 名前Dmitry Domanov
date 日付November 14, 2015 23:21:22 UTC 2015 年 11 月 15 日 (日) 8 時 21 分 22 秒 (日本時間)
composite number 合成数
27549181302987120446152650571183758210404773446919897332862989564488400860773011341685132586734178782445261049170548467158804636308538080401799119435513953477165576760270856768887902587769165827988974793783299561736338361024168871546149357175408815267452008879<260>
prime factors 素因数
83724959336690747531399968571<29>
composite cofactor 合成数の残り
329043830194065634448595622698952004578104100248760211980552429794805201066914020451219166679012340356404003022499782233501637236257949423014712170691584282508862458717762362398299114506827302206787490705132650926208012631042385949<231>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3254475396
Step 1 took 44882ms
Step 2 took 13957ms
********** Factor found in step 2: 83724959336690747531399968571
Found probable prime factor of 29 digits: 83724959336690747531399968571

c231

name 名前Dmitry Domanov
date 日付November 16, 2015 19:33:39 UTC 2015 年 11 月 17 日 (火) 4 時 33 分 39 秒 (日本時間)
composite number 合成数
329043830194065634448595622698952004578104100248760211980552429794805201066914020451219166679012340356404003022499782233501637236257949423014712170691584282508862458717762362398299114506827302206787490705132650926208012631042385949<231>
prime factors 素因数
66480614434281902564808927811285955422373<41>
composite cofactor 合成数の残り
4949470353035551579655984611319769656995268609933222442700370696700293641386503650055325450354783603050355142647136741869638604327837852436171720230120237265256777185629761469240192198258713<190>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4036672150
Step 1 took 97684ms
Step 2 took 30488ms
********** Factor found in step 2: 66480614434281902564808927811285955422373
Found probable prime factor of 41 digits: 66480614434281902564808927811285955422373

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e61200Dmitry DomanovNovember 14, 2015 22:51:17 UTC 2015 年 11 月 15 日 (日) 7 時 51 分 17 秒 (日本時間)
4511e61200Dmitry DomanovNovember 16, 2015 18:12:37 UTC 2015 年 11 月 17 日 (火) 3 時 12 分 37 秒 (日本時間)
5043e61500 / 7239Erik BrangerNovember 23, 2015 08:25:08 UTC 2015 年 11 月 23 日 (月) 17 時 25 分 8 秒 (日本時間)