Table of contents 目次

37×10158-19

c146

name 名前Robert Backstrom
date 日付May 17, 2007 20:38:53 UTC 2007 年 5 月 18 日 (金) 5 時 38 分 53 秒 (日本時間)
composite number 合成数
13674264507037318634426012072489013175752521746264239263365882696289761263584377804407017898506229087375374061783811632623995055437253177297294683<146>
prime factors 素因数
437047077000875706556100910362101256688838117136603<51>
31287852560125735966912304307179361487093589834503079004811219125764118303034275852798460927361<95>
factorization results 素因数分解の結果
Number: n
N=13674264507037318634426012072489013175752521746264239263365882696289761263584377804407017898506229087375374061783811632623995055437253177297294683
  ( 146 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=437047077000875706556100910362101256688838117136603 (pp51)
 r2=31287852560125735966912304307179361487093589834503079004811219125764118303034275852798460927361 (pp95)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 49.75 hours.
Scaled time: 67.76 units (timescale=1.362).
Factorization parameters were as follows:
name: KA_4_1_158
n: 13674264507037318634426012072489013175752521746264239263365882696289761263584377804407017898506229087375374061783811632623995055437253177297294683
skew: 0.12
deg: 5
c5: 37000
c0: -1
m: 10000000000000000000000000000000
type: snfs
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1800001)
Primes: RFBsize:315948, AFBsize:316896, largePrimes:7462039 encountered
Relations: rels:7093511, finalFF:723313
Max relations in full relation-set: 28
Initial matrix: 632911 x 723313 with sparse part having weight 38195405.
Pruned matrix : 545249 x 548477 with weight 23406323.
Total sieving time: 44.78 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 4.31 hours.
Total square root time: 0.41 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,4500000,4500000,28,28,48,48,2.5,2.5,100000
total time: 49.75 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

37×10161-19

c120

name 名前Sinkiti Sibata
date 日付October 4, 2007 01:55:58 UTC 2007 年 10 月 4 日 (木) 10 時 55 分 58 秒 (日本時間)
composite number 合成数
975568044227759770362488001375467674400042183142302355527744077810832923409238855463500596189094164000811015620989104317<120>
prime factors 素因数
37343365815058483964552266720070550859<38>
26124266598228484286956693574306899716358742145356317706463821362063741663610307863<83>
factorization results 素因数分解の結果
Number: 41111_161
N=975568044227759770362488001375467674400042183142302355527744077810832923409238855463500596189094164000811015620989104317
  ( 120 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=37343365815058483964552266720070550859 (pp38)
 r2=26124266598228484286956693574306899716358742145356317706463821362063741663610307863 (pp83)
Version: GGNFS-0.77.1-20060513-k8
Total time: 73.17 hours.
Scaled time: 146.20 units (timescale=1.998).
Factorization parameters were as follows:
name: 41111_161
n: 975568044227759770362488001375467674400042183142302355527744077810832923409238855463500596189094164000811015620989104317
m: 100000000000000000000000000000000
c5: 370
c0: -1
skew: 0.31
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, 4550001)
Primes: RFBsize:315948, AFBsize:315496, largePrimes:5801398 encountered
Relations: rels:5906549, finalFF:737188
Max relations in full relation-set: 28
Initial matrix: 631511 x 737188 with sparse part having weight 47432370.
Pruned matrix : 551065 x 554286 with weight 33711664.
Total sieving time: 69.23 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 3.52 hours.
Time per square root: 0.23 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: 73.17 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 E6300 1.86GHz,  Windows Vista)

37×10167-19

c165

name 名前Robert Backstrom
date 日付May 14, 2007 12:39:28 UTC 2007 年 5 月 14 日 (月) 21 時 39 分 28 秒 (日本時間)
composite number 合成数
122463840068844537119782874921391454009863303875815046503160891007182338728361963393241319961605931221659550524608612186807003607718531757852580015225234170721212723<165>
prime factors 素因数
918223766473056927120072370892676793977105023306840968715720117517723479949296603<81>
133370366287984710553342761808911401909229691328395596089306523023084095806001884041<84>
factorization results 素因数分解の結果
Number: n
N=122463840068844537119782874921391454009863303875815046503160891007182338728361963393241319961605931221659550524608612186807003607718531757852580015225234170721212723
  ( 165 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=918223766473056927120072370892676793977105023306840968715720117517723479949296603 (pp81)
 r2=133370366287984710553342761808911401909229691328395596089306523023084095806001884041 (pp84)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 92.87 hours.
Scaled time: 122.86 units (timescale=1.323).
Factorization parameters were as follows:
name: KA_4_1_167
n: 122463840068844537119782874921391454009863303875815046503160891007182338728361963393241319961605931221659550524608612186807003607718531757852580015225234170721212723
skew: 0.19
deg: 5
c5: 3700
c0: -1
m: 1000000000000000000000000000000000
type: snfs
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 3600001)
Primes: RFBsize:348513, AFBsize:348256, largePrimes:8066454 encountered
Relations: rels:7685936, finalFF:786082
Max relations in full relation-set: 48
Initial matrix: 696836 x 786082 with sparse part having weight 45848187.
Pruned matrix : 617807 x 621355 with weight 30540514.
Total sieving time: 83.57 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 8.75 hours.
Total square root time: 0.22 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,48,48,2.5,2.5,100000
total time: 92.87 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

37×10172-19

c134

name 名前Serge Batalov
date 日付December 10, 2008 10:33:12 UTC 2008 年 12 月 10 日 (水) 19 時 33 分 12 秒 (日本時間)
composite number 合成数
29035335881635828704887834382681869853506933591105790458020722279583713758649929558607473749724500115719020480182683186562863211989987<134>
prime factors 素因数
284058421196271016127648080138696939<36>
composite cofactor 合成数の残り
102216071466417735574182221688508636681384173985648829721984676231139297698278652475301191705869033<99>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2130306508
Step 1 took 9769ms
Step 2 took 5973ms
********** Factor found in step 2: 284058421196271016127648080138696939
Found probable prime factor of 36 digits: 284058421196271016127648080138696939
Composite cofactor has 99 digits
software ソフトウェア
GMP-ECM 6.2.1

c99

name 名前Erik Branger
date 日付December 11, 2008 09:35:02 UTC 2008 年 12 月 11 日 (木) 18 時 35 分 2 秒 (日本時間)
composite number 合成数
102216071466417735574182221688508636681384173985648829721984676231139297698278652475301191705869033<99>
prime factors 素因数
14637743314961305869395629399473422598403387829<47>
6983048497779176869298171805227564784303332803867877<52>
factorization results 素因数分解の結果
Wed Dec 10 23:12:11 2008  Msieve v. 1.39
Wed Dec 10 23:12:11 2008  random seeds: dc7b48e4 819504a7
Wed Dec 10 23:12:12 2008  factoring 102216071466417735574182221688508636681384173985648829721984676231139297698278652475301191705869033 (99 digits)
Wed Dec 10 23:12:12 2008  searching for 15-digit factors
Wed Dec 10 23:12:13 2008  commencing quadratic sieve (99-digit input)
Wed Dec 10 23:12:13 2008  using multiplier of 1
Wed Dec 10 23:12:13 2008  using 64kb Opteron sieve core
Wed Dec 10 23:12:13 2008  sieve interval: 18 blocks of size 65536
Wed Dec 10 23:12:13 2008  processing polynomials in batches of 6
Wed Dec 10 23:12:13 2008  using a sieve bound of 2532769 (92941 primes)
Wed Dec 10 23:12:13 2008  using large prime bound of 379915350 (28 bits)
Wed Dec 10 23:12:13 2008  using double large prime bound of 2776107567720900 (43-52 bits)
Wed Dec 10 23:12:13 2008  using trial factoring cutoff of 52 bits
Wed Dec 10 23:12:13 2008  polynomial 'A' values have 13 factors
Thu Dec 11 05:03:51 2008  93374 relations (22224 full + 71150 combined from 1407528 partial), need 93037
Thu Dec 11 05:03:52 2008  begin with 1429752 relations
Thu Dec 11 05:03:53 2008  reduce to 246150 relations in 10 passes
Thu Dec 11 05:03:53 2008  attempting to read 246150 relations
Thu Dec 11 05:03:56 2008  recovered 246150 relations
Thu Dec 11 05:03:56 2008  recovered 235407 polynomials
Thu Dec 11 05:03:56 2008  attempting to build 93374 cycles
Thu Dec 11 05:03:56 2008  found 93374 cycles in 5 passes
Thu Dec 11 05:03:56 2008  distribution of cycle lengths:
Thu Dec 11 05:03:56 2008     length 1 : 22224
Thu Dec 11 05:03:56 2008     length 2 : 15847
Thu Dec 11 05:03:56 2008     length 3 : 15723
Thu Dec 11 05:03:56 2008     length 4 : 12743
Thu Dec 11 05:03:56 2008     length 5 : 9757
Thu Dec 11 05:03:56 2008     length 6 : 6633
Thu Dec 11 05:03:56 2008     length 7 : 4390
Thu Dec 11 05:03:56 2008     length 9+: 6057
Thu Dec 11 05:03:56 2008  largest cycle: 19 relations
Thu Dec 11 05:03:56 2008  matrix is 92941 x 93374 (25.0 MB) with weight 6190895 (66.30/col)
Thu Dec 11 05:03:56 2008  sparse part has weight 6190895 (66.30/col)
Thu Dec 11 05:03:58 2008  filtering completed in 3 passes
Thu Dec 11 05:03:58 2008  matrix is 89064 x 89128 (23.9 MB) with weight 5921326 (66.44/col)
Thu Dec 11 05:03:58 2008  sparse part has weight 5921326 (66.44/col)
Thu Dec 11 05:03:58 2008  saving the first 48 matrix rows for later
Thu Dec 11 05:03:58 2008  matrix is 89016 x 89128 (14.5 MB) with weight 4633284 (51.98/col)
Thu Dec 11 05:03:58 2008  sparse part has weight 3268814 (36.68/col)
Thu Dec 11 05:03:58 2008  matrix includes 64 packed rows
Thu Dec 11 05:03:58 2008  using block size 21845 for processor cache size 512 kB
Thu Dec 11 05:03:59 2008  commencing Lanczos iteration
Thu Dec 11 05:03:59 2008  memory use: 14.4 MB
Thu Dec 11 05:04:53 2008  lanczos halted after 1409 iterations (dim = 89012)
Thu Dec 11 05:04:53 2008  recovered 14 nontrivial dependencies
Thu Dec 11 05:04:53 2008  prp47 factor: 14637743314961305869395629399473422598403387829
Thu Dec 11 05:04:53 2008  prp52 factor: 6983048497779176869298171805227564784303332803867877
Thu Dec 11 05:04:53 2008  elapsed time 05:52:42
software ソフトウェア
Msieve

37×10173-19

c151

name 名前Dmitry Domanov
date 日付May 7, 2011 08:45:54 UTC 2011 年 5 月 7 日 (土) 17 時 45 分 54 秒 (日本時間)
composite number 合成数
3516666535524639098622792826623292948478832627441963393111741300735450428209357364496020632191209347617701070999098553071682082486877191399340161561729<151>
prime factors 素因数
1254570637257592251841280037848199673826625452224061<52>
2803083725290939078247736653387942765365332856304286410829214954543546933201631668047663528709482389<100>
factorization results 素因数分解の結果
N=3516666535524639098622792826623292948478832627441963393111741300735450428209357364496020632191209347617701070999098553071682082486877191399340161561729
  ( 151 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=1254570637257592251841280037848199673826625452224061 (pp52)
 r2=2803083725290939078247736653387942765365332856304286410829214954543546933201631668047663528709482389 (pp100)
Version: Msieve-1.40
Total time: 87.80 hours.
Scaled time: 164.37 units (timescale=1.872).
Factorization parameters were as follows:
n: 3516666535524639098622792826623292948478832627441963393111741300735450428209357364496020632191209347617701070999098553071682082486877191399340161561729
m: 10000000000000000000000000000000000
deg: 5
c5: 37000
c0: -1
skew: 0.12
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 180000Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2850000, 7350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1009682 x 1009919
Total sieving time: 86.22 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.34 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 87.80 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
3025e4430Wataru SakaiFebruary 14, 2010 08:18:41 UTC 2010 年 2 月 14 日 (日) 17 時 18 分 41 秒 (日本時間)
351e60--
403e62336Wataru SakaiFebruary 28, 2010 07:53:07 UTC 2010 年 2 月 28 日 (日) 16 時 53 分 7 秒 (日本時間)
4511e62 / 3962Luigi MorelliNovember 8, 2010 16:05:40 UTC 2010 年 11 月 9 日 (火) 1 時 5 分 40 秒 (日本時間)

37×10174-19

c152

name 名前Dmitry Domanov
date 日付May 12, 2011 18:07:46 UTC 2011 年 5 月 13 日 (金) 3 時 7 分 46 秒 (日本時間)
composite number 合成数
44231428869837152577852934875915334938203753174732740197276195390288071211863471692146878405059550788457850048053805360934172539353940261606108429417189<152>
prime factors 素因数
974901545964804415753424352556679800761986357837080916009906555932211<69>
45370149481159999613126915733351761169666550030695796928852773230911918503706315399<83>
factorization results 素因数分解の結果
Number: 411
N=44231428869837152577852934875915334938203753174732740197276195390288071211863471692146878405059550788457850048053805360934172539353940261606108429417189
  ( 152 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=974901545964804415753424352556679800761986357837080916009906555932211 (pp69)
 r2=45370149481159999613126915733351761169666550030695796928852773230911918503706315399 (pp83)
Version: Msieve-1.40
Total time: 84.82 hours.
Scaled time: 164.46 units (timescale=1.939).
Factorization parameters were as follows:
n: 44231428869837152577852934875915334938203753174732740197276195390288071211863471692146878405059550788457850048053805360934172539353940261606108429417189
m: 10000000000000000000000000000000000
deg: 5
c5: 370000
c0: -1
skew: 0.08
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 240000Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 7270001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1227986 x 1228221
Total sieving time: 82.14 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.71 hours.
Time per square root: 0.82 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 84.82 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
255e4214Ignacio SantosMay 5, 2010 16:02:52 UTC 2010 年 5 月 6 日 (木) 1 時 2 分 52 秒 (日本時間)
3025e4403Ignacio SantosMay 5, 2010 16:55:26 UTC 2010 年 5 月 6 日 (木) 1 時 55 分 26 秒 (日本時間)
351e60--
403e61691Wataru SakaiMay 24, 2010 00:56:46 UTC 2010 年 5 月 24 日 (月) 9 時 56 分 46 秒 (日本時間)
4511e6187 / 4105Dmitry DomanovMay 6, 2010 19:37:40 UTC 2010 年 5 月 7 日 (金) 4 時 37 分 40 秒 (日本時間)

37×10177-19

c154

name 名前Robert Backstrom
date 日付January 17, 2012 11:32:30 UTC 2012 年 1 月 17 日 (火) 20 時 32 分 30 秒 (日本時間)
composite number 合成数
2820169330443039237198604663488612753585376847765675524367981628103076828274440934134689715112130176357159656045000077128352708878655609585136599705415351<154>
prime factors 素因数
3587784610232973901030348322833189564838320388723203270713853<61>
786047557704393706980317927081498912029952053742828552822252230288086666077490555937333782467<93>
factorization results 素因数分解の結果
Number: n
N=2820169330443039237198604663488612753585376847765675524367981628103076828274440934134689715112130176357159656045000077128352708878655609585136599705415351
  ( 154 digits)
SNFS difficulty: 178 digits.
Divisors found:

Tue Jan 17 22:24:30 2012  prp61 factor: 3587784610232973901030348322833189564838320388723203270713853
Tue Jan 17 22:24:30 2012  prp93 factor: 786047557704393706980317927081498912029952053742828552822252230288086666077490555937333782467
Tue Jan 17 22:24:30 2012  elapsed time 02:32:42 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.650).
Factorization parameters were as follows:
name: KA_41111_177
n: 2820169330443039237198604663488612753585376847765675524367981628103076828274440934134689715112130176357159656045000077128352708878655609585136599705415351
m: 100000000000000000000000000000000000
deg: 5
c5: 3700
c0: -1
skew: 0.19
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, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7324122 hash collisions in 76310686 relations
Msieve: matrix is 1096078 x 1096306 (301.6 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,178,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Ignacio SantosSeptember 7, 2010 07:24:59 UTC 2010 年 9 月 7 日 (火) 16 時 24 分 59 秒 (日本時間)
351e6300Ignacio SantosSeptember 7, 2010 07:25:13 UTC 2010 年 9 月 7 日 (火) 16 時 25 分 13 秒 (日本時間)
403e62144110Ignacio SantosSeptember 7, 2010 07:25:13 UTC 2010 年 9 月 7 日 (火) 16 時 25 分 13 秒 (日本時間)
2034Wataru SakaiJanuary 11, 2012 06:15:30 UTC 2012 年 1 月 11 日 (水) 15 時 15 分 30 秒 (日本時間)
4511e632 / 3991Ignacio SantosSeptember 7, 2010 07:25:13 UTC 2010 年 9 月 7 日 (火) 16 時 25 分 13 秒 (日本時間)

37×10178-19

c176

name 名前matsui
date 日付December 8, 2007 14:46:33 UTC 2007 年 12 月 8 日 (土) 23 時 46 分 33 秒 (日本時間)
composite number 合成数
42868729000115861429730042868729000115861429730042868729000115861429730042868729000115861429730042868729000115861429730042868729000115861429730042868729000115861429730042868729<176>
prime factors 素因数
256606801414902925624321820940911<33>
composite cofactor 合成数の残り
167059987357085613333034797110824057589025658340318711449285988164500386196628719375549643795216399404461119111310119558935462349796606422281239<144>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 42868729000115861429730042868729000115861429730042868729000115861429730042868729000115861429730042868729000115861429730042868729000115861429730042868729000115861429730042868729 (176 digits)

Using B1=67108864, B2=388135833550, polynomial Dickson(30), sigma=1344124928

Step 1 took 1890997ms

Step 2 took 473928ms

********** Factor found in step 2: 256606801414902925624321820940911

Found probable prime factor of 33 digits: 256606801414902925624321820940911

Composite cofactor 167059987357085613333034797110824057589025658340318711449285988164500386196628719375549643795216399404461119111310119558935462349796606422281239 has 144 digits

c144

name 名前Dmitry Domanov
date 日付July 4, 2013 12:34:06 UTC 2013 年 7 月 4 日 (木) 21 時 34 分 6 秒 (日本時間)
composite number 合成数
167059987357085613333034797110824057589025658340318711449285988164500386196628719375549643795216399404461119111310119558935462349796606422281239<144>
prime factors 素因数
97614913201942762579688420751283328951947591945071387415638771339758833<71>
1711418694922946805779255690865372293400717591014628054072973671684155783<73>
factorization results 素因数分解の結果
N=167059987357085613333034797110824057589025658340318711449285988164500386196628719375549643795216399404461119111310119558935462349796606422281239
  ( 144 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=97614913201942762579688420751283328951947591945071387415638771339758833 (pp71)
 r2=1711418694922946805779255690865372293400717591014628054072973671684155783 (pp73)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 105.29 hours.
Scaled time: 202.48 units (timescale=1.923).
Factorization parameters were as follows:
n: 167059987357085613333034797110824057589025658340318711449285988164500386196628719375549643795216399404461119111310119558935462349796606422281239
m: 100000000000000000000000000000000000
deg: 5
c5: 37000
c0: -1
skew: 0.12
# Murphy_E = 9.138e-11
type: snfs
lss: 1
rlim: 6900000
alim: 6900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3450000, 9050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1358423 x 1358654
Total sieving time: 103.05 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.85 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6900000,6900000,28,28,53,53,2.5,2.5,100000
total time: 105.29 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
3025e4430Ignacio SantosSeptember 7, 2010 08:14:01 UTC 2010 年 9 月 7 日 (火) 17 時 14 分 1 秒 (日本時間)
351e6300Ignacio SantosSeptember 7, 2010 08:14:16 UTC 2010 年 9 月 7 日 (火) 17 時 14 分 16 秒 (日本時間)
403e62144110Ignacio SantosSeptember 7, 2010 08:14:16 UTC 2010 年 9 月 7 日 (火) 17 時 14 分 16 秒 (日本時間)
2034Wataru SakaiMarch 21, 2012 12:45:56 UTC 2012 年 3 月 21 日 (水) 21 時 45 分 56 秒 (日本時間)
4511e632 / 3991Ignacio SantosSeptember 7, 2010 08:14:16 UTC 2010 年 9 月 7 日 (火) 17 時 14 分 16 秒 (日本時間)

37×10179-19

c144

name 名前Serge Batalov
date 日付August 9, 2008 21:42:01 UTC 2008 年 8 月 10 日 (日) 6 時 42 分 1 秒 (日本時間)
composite number 合成数
369127743935905661921719436569140050114591154635014610395068782158570509175969000624161221095801999006570796264230470829526985371967828211490521<144>
prime factors 素因数
1722998328122894393200632853951<31>
692868277288158536240177021151239891<36>
309201188459405009925071126374392611866926465706986114595332287804513277197981<78>
factorization results 素因数分解の結果
#ECM, then gnfs-114
#
Using B1=11000000, B2=96175819756, polynomial Dickson(12), sigma=3638089732
Step 1 took 70571ms
Step 2 took 43411ms
********** Factor found in step 2: 1722998328122894393200632853951
Found probable prime factor of 31 digits: 1722998328122894393200632853951
Composite cofactor 214235694783319195542137193905151660133632944476526636783089769017222260753479030798583580704509521146076431860071 has 114 digits

Number: 41111_179
N=214235694783319195542137193905151660133632944476526636783089769017222260753479030798583580704509521146076431860071
  ( 114 digits)
Divisors found:
 r1=692868277288158536240177021151239891
 r2=309201188459405009925071126374392611866926465706986114595332287804513277197981
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.650).
Factorization parameters were as follows:
name: 41111_179
n: 214235694783319195542137193905151660133632944476526636783089769017222260753479030798583580704509521146076431860071
skew: 51889.37
# norm 2.73e+15
c5: 22320
c4: -30532338
c3: -142817595591249
c2: 809069780721612917
c1: 203983597776382398282865
c0: -2359341539772994802155635507
# alpha -5.57
Y1: 1833293458381
Y0: -6258057702735141305522
# Murphy_E 6.49e-10
# M 162728657052454355033301763797280575233678834117861705307163381743582580557743703942799163215917912548867785628741
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 3950001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 492737 x 492977
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.90 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000

total time: 16.00 hours.
software ソフトウェア
GMP-ECM 6.2.1; Msieve-1.36
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

37×10181-19

c131

name 名前Robert Backstrom
date 日付July 8, 2008 03:48:12 UTC 2008 年 7 月 8 日 (火) 12 時 48 分 12 秒 (日本時間)
composite number 合成数
57487739562452496692279705348416815148522317960652368783583230947011382339017582062227273278450175649027157860285604624221688453877<131>
prime factors 素因数
9694281830014265153818506928082037151687589<43>
5930066875553988652313184804417901312203848627507573517688576121033537218672808937502993<88>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 57487739562452496692279705348416815148522317960652368783583230947011382339017582062227273278450175649027157860285604624221688453877 (131 digits)
Using B1=9300000, B2=23422152400, polynomial Dickson(12), sigma=4035677178
Step 1 took 92139ms
Step 2 took 29964ms
********** Factor found in step 2: 9694281830014265153818506928082037151687589
Found probable prime factor of 43 digits: 9694281830014265153818506928082037151687589
Probable prime cofactor 5930066875553988652313184804417901312203848627507573517688576121033537218672808937502993 has 88 digits

37×10183-19

c169

name 名前Dmitry Domanov
date 日付July 4, 2013 12:34:33 UTC 2013 年 7 月 4 日 (木) 21 時 34 分 33 秒 (日本時間)
composite number 合成数
1399053220609601658011114081587706621238278701687470321361118247956090195732698146886513559685784721318948654046852474652368428690190127481065511237421169302856761294169<169>
prime factors 素因数
5561675124299424380083843029057896243084346075366603723565294936610407<70>
251552489014869094667617476876133003909629347455658440132127640867318203776085957423359817927816767<99>
factorization results 素因数分解の結果
N=1399053220609601658011114081587706621238278701687470321361118247956090195732698146886513559685784721318948654046852474652368428690190127481065511237421169302856761294169
  ( 169 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=5561675124299424380083843029057896243084346075366603723565294936610407 (pp70)
 r2=251552489014869094667617476876133003909629347455658440132127640867318203776085957423359817927816767 (pp99)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 165.78 hours.
Scaled time: 319.13 units (timescale=1.925).
Factorization parameters were as follows:
n: 1399053220609601658011114081587706621238278701687470321361118247956090195732698146886513559685784721318948654046852474652368428690190127481065511237421169302856761294169
m: 1000000000000000000000000000000000000
deg: 5
c5: 37000
c0: -1
skew: 0.12
# Murphy_E = 5.74e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4150000, 12550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1732373 x 1732603
Total sieving time: 162.42 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 2.99 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time: 165.78 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Ignacio SantosSeptember 7, 2010 11:24:41 UTC 2010 年 9 月 7 日 (火) 20 時 24 分 41 秒 (日本時間)
351e6300Ignacio SantosSeptember 7, 2010 11:24:54 UTC 2010 年 9 月 7 日 (火) 20 時 24 分 54 秒 (日本時間)
403e6644 / 2144110Ignacio SantosSeptember 7, 2010 11:24:54 UTC 2010 年 9 月 7 日 (火) 20 時 24 分 54 秒 (日本時間)
534KTakahashiMay 18, 2013 22:59:30 UTC 2013 年 5 月 19 日 (日) 7 時 59 分 30 秒 (日本時間)
4511e632 / 4323Ignacio SantosSeptember 7, 2010 11:24:54 UTC 2010 年 9 月 7 日 (火) 20 時 24 分 54 秒 (日本時間)

37×10184-19

c151

name 名前Dmitry Domanov
date 日付August 7, 2013 12:27:00 UTC 2013 年 8 月 7 日 (水) 21 時 27 分 0 秒 (日本時間)
composite number 合成数
3411906010854024945334567491138713870623514437071497880306087573374921500662983708286012252401457164388416167550038109421917973087098495277187122907739<151>
prime factors 素因数
76347435918848881005237033280828120815947<41>
44689202326068994917896528444727934065435493125897166594233136455088455388391689331192029155888306305010809137<110>
factorization results 素因数分解の結果
N=3411906010854024945334567491138713870623514437071497880306087573374921500662983708286012252401457164388416167550038109421917973087098495277187122907739
  ( 151 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=76347435918848881005237033280828120815947 (pp41)
 r2=44689202326068994917896528444727934065435493125897166594233136455088455388391689331192029155888306305010809137 (pp110)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 161.72 hours.
Scaled time: 310.83 units (timescale=1.922).
Factorization parameters were as follows:
n: 3411906010854024945334567491138713870623514437071497880306087573374921500662983708286012252401457164388416167550038109421917973087098495277187122907739
m: 5000000000000000000000000000000000000
deg: 5
c5: 592
c0: -5
skew: 0.38
# Murphy_E = 5.825e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4450000, 12450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1737668 x 1737895
Total sieving time: 158.26 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 2.90 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,8900000,8900000,28,28,54,54,2.5,2.5,100000
total time: 161.72 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
3025e4430Ignacio SantosSeptember 7, 2010 11:25:08 UTC 2010 年 9 月 7 日 (火) 20 時 25 分 8 秒 (日本時間)
351e6300Ignacio SantosSeptember 7, 2010 11:25:21 UTC 2010 年 9 月 7 日 (火) 20 時 25 分 21 秒 (日本時間)
403e62144110Ignacio SantosSeptember 7, 2010 11:25:21 UTC 2010 年 9 月 7 日 (火) 20 時 25 分 21 秒 (日本時間)
534KTakahashiMay 4, 2013 21:35:17 UTC 2013 年 5 月 5 日 (日) 6 時 35 分 17 秒 (日本時間)
1500Dmitry DomanovJuly 31, 2013 10:11:08 UTC 2013 年 7 月 31 日 (水) 19 時 11 分 8 秒 (日本時間)
4511e632 / 3991Ignacio SantosSeptember 7, 2010 11:25:21 UTC 2010 年 9 月 7 日 (火) 20 時 25 分 21 秒 (日本時間)

37×10185-19

c176

name 名前Ignacio Santos
date 日付March 28, 2010 09:20:02 UTC 2010 年 3 月 28 日 (日) 18 時 20 分 2 秒 (日本時間)
composite number 合成数
36701454834685992645059855671091024160468236892562724237433446308268401625076742063826362377741158778216999571830680442257024999900400435011159139189397328568369406400092552721<176>
prime factors 素因数
252394082393758559000388686730815669123<39>
composite cofactor 合成数の残り
145413293713551745056016969320808991563169015162056608120663371534633643481127499281235708856349917376762706002603586765600550343237156827<138>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4041930320
Step 1 took 9844ms
Step 2 took 8065ms
********** Factor found in step 2: 252394082393758559000388686730815669123
Found probable prime factor of 39 digits: 252394082393758559000388686730815669123
Composite cofactor 145413293713551745056016969320808991563169015162056608120663371534633643481127499281235708856349917376762706002603586765600550343237156827 has 138 digits
software ソフトウェア
GMP-ECM 6.2.3

c138

name 名前Dmitry Domanov
date 日付August 7, 2013 12:26:35 UTC 2013 年 8 月 7 日 (水) 21 時 26 分 35 秒 (日本時間)
composite number 合成数
145413293713551745056016969320808991563169015162056608120663371534633643481127499281235708856349917376762706002603586765600550343237156827<138>
prime factors 素因数
715256287898860153887535976382409101871790649187987886047149469<63>
203302363325904399175445193506264713073776019882786666740830051547481716183<75>
factorization results 素因数分解の結果
N=145413293713551745056016969320808991563169015162056608120663371534633643481127499281235708856349917376762706002603586765600550343237156827
  ( 138 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=715256287898860153887535976382409101871790649187987886047149469 (pp63)
 r2=203302363325904399175445193506264713073776019882786666740830051547481716183 (pp75)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 124.33 hours.
Scaled time: 231.51 units (timescale=1.862).
Factorization parameters were as follows:
n: 145413293713551745056016969320808991563169015162056608120663371534633643481127499281235708856349917376762706002603586765600550343237156827
m: 10000000000000000000000000000000000000
deg: 5
c5: 37
c0: -1
skew: 0.49
# Murphy_E = 8.01e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 10500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1617341 x 1617569
Total sieving time: 121.40 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.61 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 124.33 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
3025e4430Ignacio SantosSeptember 7, 2010 11:25:41 UTC 2010 年 9 月 7 日 (火) 20 時 25 分 41 秒 (日本時間)
351e6300Ignacio SantosSeptember 7, 2010 11:25:54 UTC 2010 年 9 月 7 日 (火) 20 時 25 分 54 秒 (日本時間)
403e62144110Ignacio SantosSeptember 7, 2010 11:25:54 UTC 2010 年 9 月 7 日 (火) 20 時 25 分 54 秒 (日本時間)
534KTakahashiMay 2, 2013 22:21:38 UTC 2013 年 5 月 3 日 (金) 7 時 21 分 38 秒 (日本時間)
1500KTakahashiMay 27, 2013 21:19:22 UTC 2013 年 5 月 28 日 (火) 6 時 19 分 22 秒 (日本時間)
4511e632 / 3991Ignacio SantosSeptember 7, 2010 11:25:54 UTC 2010 年 9 月 7 日 (火) 20 時 25 分 54 秒 (日本時間)

37×10187-19

c159

name 名前Dmitry Domanov
date 日付August 23, 2013 12:51:07 UTC 2013 年 8 月 23 日 (金) 21 時 51 分 7 秒 (日本時間)
composite number 合成数
377008201854216295584034875592741508572450829644243672761356098746778625409949598045571744822191164178067693167083595831078473164140969004047812827163041593291<159>
prime factors 素因数
25361979448684310154112099275500115738586320219349266949322380829<65>
14865093736749879295074049221535234044703244998236892221636369648716457835734812641252070998279<95>
factorization results 素因数分解の結果
N=377008201854216295584034875592741508572450829644243672761356098746778625409949598045571744822191164178067693167083595831078473164140969004047812827163041593291
  ( 159 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=25361979448684310154112099275500115738586320219349266949322380829 (pp65)
 r2=14865093736749879295074049221535234044703244998236892221636369648716457835734812641252070998279 (pp95)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 199.09 hours.
Scaled time: 382.65 units (timescale=1.922).
Factorization parameters were as follows:
n: 377008201854216295584034875592741508572450829644243672761356098746778625409949598045571744822191164178067693167083595831078473164140969004047812827163041593291
m: 10000000000000000000000000000000000000
deg: 5
c5: 3700
c0: -1
skew: 0.19
# Murphy_E = 4.894e-11
type: snfs
lss: 1
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4850000, 14450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1856602 x 1856831
Total sieving time: 195.40 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 3.33 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,188.000,5,0,0,0,0,0,0,0,0,9700000,9700000,28,28,54,54,2.5,2.5,100000
total time: 199.09 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
3025e4430Ignacio SantosSeptember 7, 2010 11:46:25 UTC 2010 年 9 月 7 日 (火) 20 時 46 分 25 秒 (日本時間)
351e6300Ignacio SantosSeptember 7, 2010 11:49:37 UTC 2010 年 9 月 7 日 (火) 20 時 49 分 37 秒 (日本時間)
403e62144110Ignacio SantosSeptember 7, 2010 11:49:37 UTC 2010 年 9 月 7 日 (火) 20 時 49 分 37 秒 (日本時間)
534KTakahashiMay 7, 2013 21:58:36 UTC 2013 年 5 月 8 日 (水) 6 時 58 分 36 秒 (日本時間)
1500Dmitry DomanovJuly 31, 2013 10:11:30 UTC 2013 年 7 月 31 日 (水) 19 時 11 分 30 秒 (日本時間)
4511e632 / 3991Ignacio SantosSeptember 7, 2010 11:49:37 UTC 2010 年 9 月 7 日 (火) 20 時 49 分 37 秒 (日本時間)

37×10189-19

c164

name 名前Dmitry Domanov
date 日付September 5, 2013 05:16:16 UTC 2013 年 9 月 5 日 (木) 14 時 16 分 16 秒 (日本時間)
composite number 合成数
29170231946335403527948757323432806406568711256312149625084864554918987345833584927111985846652055061261911165834221068534460588057026909878384987872353509094302833<164>
prime factors 素因数
835625122561632629508416334724348855010267510359640662098249399737681780091370867<81>
34908275444033116322120768393526110234459784160869556576375543735121233913817161099<83>
factorization results 素因数分解の結果
N=29170231946335403527948757323432806406568711256312149625084864554918987345833584927111985846652055061261911165834221068534460588057026909878384987872353509094302833
  ( 164 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=835625122561632629508416334724348855010267510359640662098249399737681780091370867 (pp81)
 r2=34908275444033116322120768393526110234459784160869556576375543735121233913817161099 (pp83)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 274.73 hours.
Scaled time: 179.40 units (timescale=0.653).
Factorization parameters were as follows:
n: 29170231946335403527948757323432806406568711256312149625084864554918987345833584927111985846652055061261911165834221068534460588057026909878384987872353509094302833
m: 50000000000000000000000000000000000000
deg: 5
c5: 592
c0: -5
skew: 0.38
# Murphy_E = 3.636e-11
type: snfs
lss: 1
rlim: 10800000
alim: 10800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 10800000/10800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5400000, 18000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2073767 x 2073997
Total sieving time: 268.40 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 4.67 hours.
Time per square root: 1.40 hours.
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,10800000,10800000,28,28,54,54,2.5,2.5,100000
total time: 274.73 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Ignacio SantosSeptember 7, 2010 13:03:17 UTC 2010 年 9 月 7 日 (火) 22 時 3 分 17 秒 (日本時間)
351e6300Ignacio SantosSeptember 7, 2010 13:03:30 UTC 2010 年 9 月 7 日 (火) 22 時 3 分 30 秒 (日本時間)
403e62144110Ignacio SantosSeptember 7, 2010 13:03:30 UTC 2010 年 9 月 7 日 (火) 22 時 3 分 30 秒 (日本時間)
534KTakahashiMay 10, 2013 22:30:28 UTC 2013 年 5 月 11 日 (土) 7 時 30 分 28 秒 (日本時間)
1500Dmitry DomanovJuly 31, 2013 10:11:48 UTC 2013 年 7 月 31 日 (水) 19 時 11 分 48 秒 (日本時間)
4511e632 / 3991Ignacio SantosSeptember 7, 2010 13:03:30 UTC 2010 年 9 月 7 日 (火) 22 時 3 分 30 秒 (日本時間)

37×10190-19

c168

name 名前KTakahashi
date 日付May 17, 2013 22:33:39 UTC 2013 年 5 月 18 日 (土) 7 時 33 分 39 秒 (日本時間)
composite number 合成数
498830246969542474321918478700295889359291121416819184759586086747633652166916443406131530179196184381275082311559895607071465113849919653489311026842000231510898465281<168>
prime factors 素因数
348269682481672360974442954466844827<36>
composite cofactor 合成数の残り
1432310281546810610293941977709274438883209442630153000225453250836761749205628248744513660394200102512490877350627051969119880000403<133>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.1] [ECM]
Input number is 498830246969542474321918478700295889359291121416819184759586086747633652166916443406131530179196184381275082311559895607071465113849919653489311026842000231510898465281 (168 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1602321810
Step 1 took 46972ms
Step 2 took 11576ms
********** Factor found in step 2: 348269682481672360974442954466844827
Found probable prime factor of 36 digits: 348269682481672360974442954466844827
Composite cofactor 1432310281546810610293941977709274438883209442630153000225453250836761749205628248744513660394200102512490877350627051969119880000403 has 133 digits

c133

name 名前Erik Branger
date 日付June 20, 2013 21:21:42 UTC 2013 年 6 月 21 日 (金) 6 時 21 分 42 秒 (日本時間)
composite number 合成数
1432310281546810610293941977709274438883209442630153000225453250836761749205628248744513660394200102512490877350627051969119880000403<133>
prime factors 素因数
99576073155380129480616663186590461755185396478835026147811<59>
14384080795311241826727086462562313798692462368740515489261936328435568273<74>
factorization results 素因数分解の結果
Number: 41111_190
N = 1432310281546810610293941977709274438883209442630153000225453250836761749205628248744513660394200102512490877350627051969119880000403 (133 digits)
Divisors found:
r1=99576073155380129480616663186590461755185396478835026147811 (pp59)
r2=14384080795311241826727086462562313798692462368740515489261936328435568273 (pp74)
Version: Msieve v. 1.51 (SVN 845)
Total time: 141.95 hours.
Factorization parameters were as follows:
# Murphy_E = 5.759e-11, selected by Erik Branger
n: 1432310281546810610293941977709274438883209442630153000225453250836761749205628248744513660394200102512490877350627051969119880000403
Y0: -47190811960589920614117388
Y1: 77460971043181
c0: 225330193489400597870340885478935
c1: 1382039746193557587659882230
c2: 4664682255877845884173
c3: -14903702979419046
c4: -13408894812
c5: 6120
skew: 799199.85
type: gnfs
# selected mechanically
rlim: 11200000
alim: 11200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11200000/11200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19562762
Relations: 2899600 relations
Pruned matrix : 1687448 x 1687676
Polynomial selection time: 0.00 hours.
Total sieving time: 138.18 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.90 hours.
time per square root: 0.68 hours.
Prototype def-par.txt line would be: gnfs,132,5,65,2000,1e-05,0.28,250,20,50000,3600,11200000,11200000,28,28,54,54,2.6,2.6,100000
total time: 141.95 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
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
3025e4430Ignacio SantosSeptember 7, 2010 13:56:49 UTC 2010 年 9 月 7 日 (火) 22 時 56 分 49 秒 (日本時間)
351e6300Ignacio SantosSeptember 7, 2010 13:57:03 UTC 2010 年 9 月 7 日 (火) 22 時 57 分 3 秒 (日本時間)
403e62144110Ignacio SantosSeptember 7, 2010 13:57:03 UTC 2010 年 9 月 7 日 (火) 22 時 57 分 3 秒 (日本時間)
534KTakahashiMay 18, 2013 13:21:36 UTC 2013 年 5 月 18 日 (土) 22 時 21 分 36 秒 (日本時間)
1500KTakahashiMay 25, 2013 22:07:54 UTC 2013 年 5 月 26 日 (日) 7 時 7 分 54 秒 (日本時間)
4511e632 / 3991Ignacio SantosSeptember 7, 2010 13:57:03 UTC 2010 年 9 月 7 日 (火) 22 時 57 分 3 秒 (日本時間)

37×10191-19

c170

name 名前Dmitry Domanov
date 日付February 17, 2014 05:56:09 UTC 2014 年 2 月 17 日 (月) 14 時 56 分 9 秒 (日本時間)
composite number 合成数
96627395171611844051476173614788982213705110419367330095303535586292478887602644748178990204050930147868570089072747210771958210000069096119188853050817437360352095824397<170>
prime factors 素因数
1883799415952174108925387299990092103707380399001<49>
51293887424193266616990546397786137913801017483198070186196385319063738061502377365571833299011856406248393574272098421397<122>
factorization results 素因数分解の結果
N=96627395171611844051476173614788982213705110419367330095303535586292478887602644748178990204050930147868570089072747210771958210000069096119188853050817437360352095824397
  ( 170 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=1883799415952174108925387299990092103707380399001 (pp49)
 r2=51293887424193266616990546397786137913801017483198070186196385319063738061502377365571833299011856406248393574272098421397 (pp122)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 293.41 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 96627395171611844051476173614788982213705110419367330095303535586292478887602644748178990204050930147868570089072747210771958210000069096119188853050817437360352095824397
m: 100000000000000000000000000000000000000
deg: 5
c5: 370
c0: -1
skew: 0.31
# Murphy_E = 3.311e-11
type: snfs
lss: 1
rlim: 11300000
alim: 11300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 800000
Factor base limits: 11300000/11300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5650000, 18450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2293093 x 2293318
Total sieving time: 287.10 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 5.16 hours.
Time per square root: 0.87 hours.
Prototype def-par.txt line would be:
snfs,192.000,5,0,0,0,0,0,0,0,0,11300000,11300000,28,28,55,55,2.5,2.5,100000
total time: 293.41 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Ignacio SantosMarch 28, 2010 13:26:35 UTC 2010 年 3 月 28 日 (日) 22 時 26 分 35 秒 (日本時間)
351e6410Ignacio SantosMarch 28, 2010 13:26:44 UTC 2010 年 3 月 28 日 (日) 22 時 26 分 44 秒 (日本時間)
403e6950150Ignacio SantosMarch 28, 2010 13:26:44 UTC 2010 年 3 月 28 日 (日) 22 時 26 分 44 秒 (日本時間)
800Ignacio SantosApril 30, 2010 11:50:43 UTC 2010 年 4 月 30 日 (金) 20 時 50 分 43 秒 (日本時間)
4511e6230 / 4025Ignacio SantosApril 30, 2010 11:50:43 UTC 2010 年 4 月 30 日 (金) 20 時 50 分 43 秒 (日本時間)
5043e664 / 7463Ignacio SantosApril 30, 2010 11:50:43 UTC 2010 年 4 月 30 日 (金) 20 時 50 分 43 秒 (日本時間)

37×10193-19

c191

name 名前Wataru Sakai
date 日付August 9, 2009 06:49:14 UTC 2009 年 8 月 9 日 (日) 15 時 49 分 14 秒 (日本時間)
composite number 合成数
75990963236804271924419798726637913329225713698911480796878209077839392072294105565824604641610186896693366194290408708153624974327377284863421647155473403162867118504826453070445676730334771<191>
prime factors 素因数
16982086357914803637623741673240335869987959520338455554555164416476118201559316006982399568593<95>
4474771923497334638554968073323091298281184099854318393507188833675114725959431699712597968081347<97>
factorization results 素因数分解の結果
Number: 41111_193
N=75990963236804271924419798726637913329225713698911480796878209077839392072294105565824604641610186896693366194290408708153624974327377284863421647155473403162867118504826453070445676730334771
  ( 191 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=16982086357914803637623741673240335869987959520338455554555164416476118201559316006982399568593
 r2=4474771923497334638554968073323091298281184099854318393507188833675114725959431699712597968081347
Version: 
Total time: 650.69 hours.
Scaled time: 1307.89 units (timescale=2.010).
Factorization parameters were as follows:
n: 75990963236804271924419798726637913329225713698911480796878209077839392072294105565824604641610186896693366194290408708153624974327377284863421647155473403162867118504826453070445676730334771
m: 1000000000000000000000000000000000000000
deg: 5
c5: 37
c0: -100
skew: 1.22
type: snfs
lss: 1
rlim: 13200000
alim: 13200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5Factor base limits: 13200000/13200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6600000, 13700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2320654 x 2320902
Total sieving time: 650.69 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,196,5,0,0,0,0,0,0,0,0,13200000,13200000,28,28,55,55,2.5,2.5,100000
total time: 650.69 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
3025e443050Makoto KamadaFebruary 4, 2009 05:07:41 UTC 2009 年 2 月 4 日 (水) 14 時 7 分 41 秒 (日本時間)
380Andreas TeteApril 9, 2009 22:22:51 UTC 2009 年 4 月 10 日 (金) 7 時 22 分 51 秒 (日本時間)
351e61200Dmitry DomanovJuly 12, 2009 06:49:25 UTC 2009 年 7 月 12 日 (日) 15 時 49 分 25 秒 (日本時間)
403e62500Dmitry DomanovJuly 12, 2009 06:49:25 UTC 2009 年 7 月 12 日 (日) 15 時 49 分 25 秒 (日本時間)

37×10194-19

c136

name 名前Robert Backstrom
date 日付February 7, 2008 13:11:46 UTC 2008 年 2 月 7 日 (木) 22 時 11 分 46 秒 (日本時間)
composite number 合成数
5437174200945273260316463489840355201101806815650554905100487990605895117713752355389291676269529572417445288293311273994709838224264529<136>
prime factors 素因数
227665057537224694948644929138647<33>
23882339520004120338160997543040692573102301514832723172916776549468348272189791118195375411520469002007<104>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 5437174200945273260316463489840355201101806815650554905100487990605895117713752355389291676269529572417445288293311273994709838224264529 (136 digits)
Using B1=504000, B2=316272131, polynomial Dickson(3), sigma=1542096224
Step 1 took 5151ms
Step 2 took 2290ms
********** Factor found in step 2: 227665057537224694948644929138647
Found probable prime factor of 33 digits: 227665057537224694948644929138647
Probable prime cofactor 23882339520004120338160997543040692573102301514832723172916776549468348272189791118195375411520469002007 has 104 digits

37×10195-19

c128

name 名前JMB
date 日付January 26, 2007 17:10:10 UTC 2007 年 1 月 27 日 (土) 2 時 10 分 10 秒 (日本時間)
composite number 合成数
37954817739145309279201566458320525596806472098880231683065555105544316286611149355996087908664878710029357412338028269414659461<128>
prime factors 素因数
196191505225250176990551527<27>
composite cofactor 合成数の残り
193458007754050608829175234246197250676017310842474208230477674824514384797154628734170231238051179443<102>
factorization results 素因数分解の結果
P1: 196191505225250176990551527 (P27)

C2: 193458007754050608829175234246197250676017310842474208230477674824514384797154628734170231238051179443 (C102)

B1: 250000
Sigma: 1851303574

37×10198-19

c144

name 名前Ignacio Santos
date 日付September 7, 2010 14:33:18 UTC 2010 年 9 月 7 日 (火) 23 時 33 分 18 秒 (日本時間)
composite number 合成数
855070773793843055704963170582577179877147818117845458481215261733311222267357887815163233130827440943374700725106082025322031174030366886366417<144>
prime factors 素因数
5311475623750493070863407417<28>
160985540434442943333397812463161516901311606433866999784678738244118389589975915927526189940349768312669885593127001<117>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3337320137
Step 1 took 5164ms
Step 2 took 3869ms
********** Factor found in step 2: 5311475623750493070863407417
Found probable prime factor of 28 digits: 5311475623750493070863407417
Probable prime cofactor 160985540434442943333397812463161516901311606433866999784678738244118389589975915927526189940349768312669885593127001 has 117 digits
software ソフトウェア
GMP-ECM 6.3

37×10199-19

c180

name 名前Jo Yeong Uk
date 日付May 17, 2018 02:49:28 UTC 2018 年 5 月 17 日 (木) 11 時 49 分 28 秒 (日本時間)
composite number 合成数
816542427607748329327030555224274720659161231117292042362554638843498871123270672514816995245962229369662459340831499957707129655018418683153789931901141236748333910438302709047047<180>
prime factors 素因数
331595655432985342080574395940602669522190530992744219524147498043859641<72>
2462464191641888157273359040710620836503881253068242930767724980435050024650285356838599481435672289687007167<109>
factorization results 素因数分解の結果
Number: 41111_199
N=816542427607748329327030555224274720659161231117292042362554638843498871123270672514816995245962229369662459340831499957707129655018418683153789931901141236748333910438302709047047
  ( 180 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=331595655432985342080574395940602669522190530992744219524147498043859641
 r2=2462464191641888157273359040710620836503881253068242930767724980435050024650285356838599481435672289687007167
Version: 
Total time: 244.97 hours.
Scaled time: 1282.66 units (timescale=5.236).
Factorization parameters were as follows:
n: 816542427607748329327030555224274720659161231117292042362554638843498871123270672514816995245962229369662459340831499957707129655018418683153789931901141236748333910438302709047047
m: 10000000000000000000000000000000000000000
deg: 5
c5: 37
c0: -10
skew: 0.77
# Murphy_E = 1.399e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 200000
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8000000, 17000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 39045729
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3155423 x 3155671
Total sieving time: 222.01 hours.
Total relation processing time: 2.52 hours.
Matrix solve time: 18.91 hours.
Time per square root: 1.53 hours.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 244.97 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367612k/51380224k available (5516k kernel code, 1086464k absent, 926148k reserved, 6912k data, 1332k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.92 BogoMIPS (lpj=3399960)
Total of 12 processors activated (81599.04 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
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
3025e4430Ignacio SantosMarch 28, 2010 13:27:41 UTC 2010 年 3 月 28 日 (日) 22 時 27 分 41 秒 (日本時間)
351e6410Ignacio SantosMarch 28, 2010 13:27:56 UTC 2010 年 3 月 28 日 (日) 22 時 27 分 56 秒 (日本時間)
403e6150Ignacio SantosMarch 28, 2010 13:27:56 UTC 2010 年 3 月 28 日 (日) 22 時 27 分 56 秒 (日本時間)
4511e61500 / 3655Ignacio SantosApril 22, 2010 13:31:05 UTC 2010 年 4 月 22 日 (木) 22 時 31 分 5 秒 (日本時間)
5043e6220 / 7209Ignacio SantosApril 22, 2010 13:31:05 UTC 2010 年 4 月 22 日 (木) 22 時 31 分 5 秒 (日本時間)

37×10201-19

c166

name 名前Bob Backstrom
date 日付February 1, 2022 20:16:25 UTC 2022 年 2 月 2 日 (水) 5 時 16 分 25 秒 (日本時間)
composite number 合成数
1416281673604524880702045853431389174156517700786867592840904397132039490999775557704285157288067115157439671881170249762655448488741760826017935260854513302435366507<166>
prime factors 素因数
223437207171455761649646714081495090561315383770694732116058835413507941<72>
6338611601592985365009658112124851416795987401915297890253623277867647765630153945748664138127<94>
factorization results 素因数分解の結果
Number: n
N=1416281673604524880702045853431389174156517700786867592840904397132039490999775557704285157288067115157439671881170249762655448488741760826017935260854513302435366507  ( 166 digits)
SNFS difficulty: 202 digits.
Divisors found:

Wed Feb  2 07:11:06 2022  p72 factor: 223437207171455761649646714081495090561315383770694732116058835413507941
Wed Feb  2 07:11:06 2022  p94 factor: 6338611601592985365009658112124851416795987401915297890253623277867647765630153945748664138127
Wed Feb  2 07:11:06 2022  elapsed time 01:36:29 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.271).
Factorization parameters were as follows:
#
# N = 37x10^201-1 = 41(201)
#
n: 1416281673604524880702045853431389174156517700786867592840904397132039490999775557704285157288067115157439671881170249762655448488741760826017935260854513302435366507
m: 10000000000000000000000000000000000000000
deg: 5
c5: 370
c0: -1
skew: 0.31
# Murphy_E = 1.27e-11
type: snfs
lss: 1
rlim: 16600000
alim: 16600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16600000/16600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 28300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5132156 hash collisions in 32992293 relations (29429453 unique)
Msieve: matrix is 2009372 x 2009597 (698.7 MB)

Sieving start time : 2022/02/01 18:59:14
Sieving end time  : 2022/02/02 05:34:02

Total sieving time: 10hrs 34min 48secs.

Total relation processing time: 1hrs 24min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 35sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16600000,16600000,28,28,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119028] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153529] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.152048] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
786KTakahashiJune 28, 2013 15:00:34 UTC 2013 年 6 月 29 日 (土) 0 時 0 分 34 秒 (日本時間)
403e62104604KTakahashiJune 28, 2013 15:02:03 UTC 2013 年 6 月 29 日 (土) 0 時 2 分 3 秒 (日本時間)
1500Dmitry DomanovJuly 31, 2013 10:12:07 UTC 2013 年 7 月 31 日 (水) 19 時 12 分 7 秒 (日本時間)
4511e658241344KTakahashiAugust 2, 2014 13:42:41 UTC 2014 年 8 月 2 日 (土) 22 時 42 分 41 秒 (日本時間)
4480Ignacio SantosAugust 28, 2021 22:29:28 UTC 2021 年 8 月 29 日 (日) 7 時 29 分 28 秒 (日本時間)

37×10202-19

c156

name 名前Mehrshad Alipour
date 日付September 23, 2024 15:48:03 UTC 2024 年 9 月 24 日 (火) 0 時 48 分 3 秒 (日本時間)
composite number 合成数
142539579202916670136801386636957152043988236774304402677936350434714971645690826634235409792933664312582838361035023288358925809238549645954032225318637601<156>
prime factors 素因数
34074949696424450203629867435388334948441232519328160078921517987192022171<74>
4183119284776922838529604276032736624828311555185691921367233088468721581264569331<82>
factorization results 素因数分解の結果
nfs: found 25643465 relations, need at least 25526757, proceeding with filtering ...
Elapsed time is now 137432.3715 seconds.
nfs: commencing msieve filtering
369999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

commencing relation filtering
estimated available RAM is 64046.8 MB
commencing duplicate removal, pass 1
read 10M relations
read 20M relations
skipped 7 relations with b > 2^32
found 3429135 hash collisions in 26371722 relations
added 1044 free relations
commencing duplicate removal, pass 2
found 2776384 duplicates and 23596382 unique relations
memory use: 106.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 689.0 MB
reading all ideals from disk
memory use: 806.8 MB
keeping 24526925 ideals with weight <= 200, target excess is 125965
commencing in-memory singleton removal
begin with 23596382 relations and 24526925 unique ideals
reduce to 12646571 relations and 11909796 ideals in 16 passes
max relations containing the same ideal: 139
removing 1961207 relations and 1665879 ideals in 295328 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 10685364 relations and 11909796 unique ideals
reduce to 10418214 relations and 9968227 ideals in 9 passes
max relations containing the same ideal: 123
removing 1505329 relations and 1210001 ideals in 295328 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 8912885 relations and 9968227 unique ideals
reduce to 8727337 relations and 8567307 ideals in 9 passes
max relations containing the same ideal: 107
removing 121127 relations and 107217 ideals in 13910 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 8606210 relations and 8567307 unique ideals
reduce to 8605106 relations and 8458985 ideals in 7 passes
max relations containing the same ideal: 105
relations with 0 large ideals: 2897
relations with 1 large ideals: 403
relations with 2 large ideals: 8877
relations with 3 large ideals: 79357
relations with 4 large ideals: 391223
relations with 5 large ideals: 1152691
relations with 6 large ideals: 2182678
relations with 7+ large ideals: 4786980
commencing 2-way merge
reduce to 5370092 relation sets and 5223971 unique ideals
commencing full merge
memory use: 681.6 MB
found 2571901 cycles, need 2558171
weight of 2558171 cycles is about 230259993 (90.01/cycle)
distribution of cycle lengths:
1 relations: 270500
2 relations: 254245
3 relations: 247986
4 relations: 230094
5 relations: 214387
6 relations: 193361
7 relations: 173962
8 relations: 153849
9 relations: 135791
10+ relations: 683996
heaviest cycle: 27 relations
commencing cycle optimization
start with 17795603 relations
pruned 580497 relations
memory use: 534.2 MB
distribution of cycle lengths:
1 relations: 270500
2 relations: 260561
3 relations: 257811
4 relations: 237279
5 relations: 221771
6 relations: 198419
7 relations: 177786
8 relations: 155936
9 relations: 136954
10+ relations: 641154
heaviest cycle: 27 relations
RelProcTime: 318
Elapsed time is now 137750.0279 seconds.
nfs: commencing msieve linear algebra

commencing linear algebra
read 2558171 cycles
cycles contain 8492903 unique relations
read 8492903 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1021.2 MB
read 2558171 cycles
matrix is 2557994 x 2558171 (939.8 MB) with weight 271609388 (106.17/col)
sparse part has weight 218232824 (85.31/col)
filtering completed in 2 passes
matrix is 2557503 x 2557680 (939.8 MB) with weight 271591203 (106.19/col)
sparse part has weight 218225473 (85.32/col)
matrix starts at (0, 0)
matrix is 2557503 x 2557680 (939.8 MB) with weight 271591203 (106.19/col)
sparse part has weight 218225473 (85.32/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2557455 x 2557680 (894.8 MB) with weight 226702545 (88.64/col)
sparse part has weight 208984411 (81.71/col)
using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
commencing Lanczos iteration (8 threads)
memory use: 852.1 MB
VBITS = 64
linear algebra at 0.1%, ETA 1h24m2557680 dimensions (0.1%, ETA 1h24m)    
checkpointing every 1830000 dimensions80 dimensions (0.1%, ETA 1h24m)    
linear algebra completed 2557453 of 2557680 dimensions (100.0%, ETA 0h 0m)    
lanczos halted after 40449 iterations (dim = 2557453)
recovered 40 nontrivial dependencies
BLanczosTime: 5549
Elapsed time is now 143299.5568 seconds.
nfs: commencing msieve sqrt

commencing square root phase
reading relations for dependency 1
read 1278274 cycles
cycles contain 4243954 unique relations
read 4243954 relations
multiplying 4243954 relations
multiply complete, coefficients have about 146.62 million bits
initial square root is modulo 182921
GCD is N, no factor found
reading relations for dependency 2
read 1277774 cycles
cycles contain 4244486 unique relations
read 4244486 relations
multiplying 4244486 relations
multiply complete, coefficients have about 146.64 million bits
initial square root is modulo 183151
found factor: 34074949696424450203629867435388334948441232519328160078921517987192022171
reading relations for dependency 3
read 1278438 cycles
cycles contain 4245452 unique relations
read 4245452 relations
multiplying 4245452 relations
multiply complete, coefficients have about 146.68 million bits
initial square root is modulo 183871
found factor: 34074949696424450203629867435388334948441232519328160078921517987192022171
reading relations for dependency 4
read 1277898 cycles
cycles contain 4244622 unique relations
read 4244622 relations
multiplying 4244622 relations
multiply complete, coefficients have about 146.65 million bits
initial square root is modulo 183191
found factor: 34074949696424450203629867435388334948441232519328160078921517987192022171
reading relations for dependency 5
read 1279036 cycles
cycles contain 4246494 unique relations
read 4246494 relations
multiplying 4246494 relations
multiply complete, coefficients have about 146.71 million bits
initial square root is modulo 184211
GCD is 1, no factor found
reading relations for dependency 6
read 1278309 cycles
cycles contain 4245342 unique relations
read 4245342 relations
multiplying 4245342 relations
multiply complete, coefficients have about 146.68 million bits
initial square root is modulo 183661
GCD is 1, no factor found
reading relations for dependency 7
read 1280294 cycles
cycles contain 4248942 unique relations
read 4248942 relations
multiplying 4248942 relations
multiply complete, coefficients have about 146.80 million bits
initial square root is modulo 185491
GCD is N, no factor found
reading relations for dependency 8
read 1277798 cycles
cycles contain 4244544 unique relations
read 4244544 relations
multiplying 4244544 relations
multiply complete, coefficients have about 146.64 million bits
initial square root is modulo 183151
GCD is N, no factor found
reading relations for dependency 9
read 1278525 cycles
cycles contain 4242734 unique relations
read 4242734 relations
multiplying 4242734 relations
multiply complete, coefficients have about 146.58 million bits
initial square root is modulo 182261
GCD is 1, no factor found
reading relations for dependency 10
read 1279249 cycles
cycles contain 4245452 unique relations
read 4245452 relations
multiplying 4245452 relations
multiply complete, coefficients have about 146.68 million bits
initial square root is modulo 183661
found factor: 34074949696424450203629867435388334948441232519328160078921517987192022171
reading relations for dependency 11
read 1277967 cycles
cycles contain 4244184 unique relations
read 4244184 relations
multiplying 4244184 relations
multiply complete, coefficients have about 146.63 million bits
initial square root is modulo 182921
GCD is N, no factor found
reading relations for dependency 12
read 1278196 cycles
cycles contain 4244820 unique relations
read 4244820 relations
multiplying 4244820 relations
multiply complete, coefficients have about 146.65 million bits
initial square root is modulo 183301
GCD is N, no factor found
reading relations for dependency 13
read 1277031 cycles
cycles contain 4244694 unique relations
read 4244694 relations
multiplying 4244694 relations
multiply complete, coefficients have about 146.65 million bits
initial square root is modulo 183301
GCD is N, no factor found
reading relations for dependency 14
read 1279696 cycles
cycles contain 4248940 unique relations
read 4248940 relations
multiplying 4248940 relations
multiply complete, coefficients have about 146.80 million bits
initial square root is modulo 185491
GCD is 1, no factor found
reading relations for dependency 15
read 1278166 cycles
cycles contain 4247612 unique relations
read 4247612 relations
multiplying 4247612 relations
multiply complete, coefficients have about 146.75 million bits
initial square root is modulo 184831
found factor: 34074949696424450203629867435388334948441232519328160078921517987192022171
reading relations for dependency 16
read 1278861 cycles
cycles contain 4245774 unique relations
read 4245774 relations
multiplying 4245774 relations
multiply complete, coefficients have about 146.69 million bits
initial square root is modulo 183871
GCD is N, no factor found
reading relations for dependency 17
read 1278271 cycles
cycles contain 4243364 unique relations
read 4243364 relations
multiplying 4243364 relations
multiply complete, coefficients have about 146.60 million bits
initial square root is modulo 182561
found factor: 34074949696424450203629867435388334948441232519328160078921517987192022171
reading relations for dependency 18
read 1277575 cycles
cycles contain 4245584 unique relations
read 4245584 relations
multiplying 4245584 relations
multiply complete, coefficients have about 146.68 million bits
initial square root is modulo 183871
found factor: 34074949696424450203629867435388334948441232519328160078921517987192022171
reading relations for dependency 19
read 1277414 cycles
cycles contain 4245008 unique relations
read 4245008 relations
multiplying 4245008 relations
multiply complete, coefficients have about 146.66 million bits
initial square root is modulo 183451
found factor: 34074949696424450203629867435388334948441232519328160078921517987192022171
reading relations for dependency 20
read 1278938 cycles
cycles contain 4247564 unique relations
read 4247564 relations
multiplying 4247564 relations
multiply complete, coefficients have about 146.75 million bits
initial square root is modulo 184831
found factor: 34074949696424450203629867435388334948441232519328160078921517987192022171
reading relations for dependency 21
read 1277775 cycles
cycles contain 4242804 unique relations
read 4242804 relations
multiplying 4242804 relations
multiply complete, coefficients have about 146.59 million bits
initial square root is modulo 182261
GCD is N, no factor found
reading relations for dependency 22
read 1279938 cycles
cycles contain 4247842 unique relations
read 4247842 relations
multiplying 4247842 relations
multiply complete, coefficients have about 146.76 million bits
initial square root is modulo 185021
found factor: 34074949696424450203629867435388334948441232519328160078921517987192022171
reading relations for dependency 23
read 1279296 cycles
cycles contain 4249744 unique relations
read 4249744 relations
multiplying 4249744 relations
multiply complete, coefficients have about 146.82 million bits
initial square root is modulo 185951
found factor: 34074949696424450203629867435388334948441232519328160078921517987192022171
reading relations for dependency 24
read 1277860 cycles
cycles contain 4241938 unique relations
read 4241938 relations
multiplying 4241938 relations
multiply complete, coefficients have about 146.56 million bits
initial square root is modulo 181871
found factor: 34074949696424450203629867435388334948441232519328160078921517987192022171
reading relations for dependency 25
read 1280352 cycles
cycles contain 4251010 unique relations
read 4251010 relations
multiplying 4251010 relations
multiply complete, coefficients have about 146.87 million bits
initial square root is modulo 186601
found factor: 34074949696424450203629867435388334948441232519328160078921517987192022171
reading relations for dependency 26
read 1278279 cycles
cycles contain 4245678 unique relations
read 4245678 relations
multiplying 4245678 relations
multiply complete, coefficients have about 146.68 million bits
initial square root is modulo 183871
GCD is N, no factor found
reading relations for dependency 27
read 1279510 cycles
cycles contain 4247704 unique relations
read 4247704 relations
multiplying 4247704 relations
multiply complete, coefficients have about 146.75 million bits
initial square root is modulo 184831
GCD is N, no factor found
reading relations for dependency 28
read 1279270 cycles
cycles contain 4247120 unique relations
read 4247120 relations
multiplying 4247120 relations
multiply complete, coefficients have about 146.73 million bits
initial square root is modulo 184511
GCD is N, no factor found
reading relations for dependency 29
read 1280670 cycles
cycles contain 4252118 unique relations
read 4252118 relations
multiplying 4252118 relations
multiply complete, coefficients have about 146.91 million bits
initial square root is modulo 187141
GCD is 1, no factor found
reading relations for dependency 30
read 1279272 cycles
cycles contain 4246302 unique relations
read 4246302 relations
multiplying 4246302 relations
multiply complete, coefficients have about 146.70 million bits
initial square root is modulo 184081
found factor: 34074949696424450203629867435388334948441232519328160078921517987192022171
reading relations for dependency 31
read 1278751 cycles
cycles contain 4247672 unique relations
read 4247672 relations
multiplying 4247672 relations
multiply complete, coefficients have about 146.75 million bits
initial square root is modulo 184831
GCD is 1, no factor found
reading relations for dependency 32
read 1279043 cycles
cycles contain 4246900 unique relations
read 4246900 relations
multiplying 4246900 relations
multiply complete, coefficients have about 146.72 million bits
initial square root is modulo 184351
GCD is 1, no factor found
reading relations for dependency 33
read 1278652 cycles
cycles contain 4246978 unique relations
read 4246978 relations
multiplying 4246978 relations
multiply complete, coefficients have about 146.73 million bits
initial square root is modulo 184441
found factor: 34074949696424450203629867435388334948441232519328160078921517987192022171
reading relations for dependency 34
read 1278612 cycles
cycles contain 4245098 unique relations
read 4245098 relations
multiplying 4245098 relations
multiply complete, coefficients have about 146.66 million bits
initial square root is modulo 183451
GCD is 1, no factor found
reading relations for dependency 35
read 1279239 cycles
cycles contain 4247156 unique relations
read 4247156 relations
multiplying 4247156 relations
multiply complete, coefficients have about 146.73 million bits
initial square root is modulo 184571
found factor: 34074949696424450203629867435388334948441232519328160078921517987192022171
reading relations for dependency 36
read 1277620 cycles
cycles contain 4243312 unique relations
read 4243312 relations
multiplying 4243312 relations
multiply complete, coefficients have about 146.60 million bits
initial square root is modulo 182561
found factor: 34074949696424450203629867435388334948441232519328160078921517987192022171
reading relations for dependency 37
read 1280388 cycles
cycles contain 4251676 unique relations
read 4251676 relations
multiplying 4251676 relations
multiply complete, coefficients have about 146.89 million bits
initial square root is modulo 187081
found factor: 34074949696424450203629867435388334948441232519328160078921517987192022171
reading relations for dependency 38
read 1280097 cycles
cycles contain 4247630 unique relations
read 4247630 relations
multiplying 4247630 relations
multiply complete, coefficients have about 146.75 million bits
initial square root is modulo 184831
GCD is N, no factor found
reading relations for dependency 39
read 1278034 cycles
cycles contain 4243274 unique relations
read 4243274 relations
multiplying 4243274 relations
multiply complete, coefficients have about 146.60 million bits
initial square root is modulo 182561
found factor: 34074949696424450203629867435388334948441232519328160078921517987192022171
reading relations for dependency 40
read 1277515 cycles
cycles contain 4243704 unique relations
read 4243704 relations
multiplying 4243704 relations
multiply complete, coefficients have about 146.62 million bits
initial square root is modulo 182821
GCD is N, no factor found
reading relations for dependency 41
read 0 cycles
reading relations for dependency 42
read 0 cycles
reading relations for dependency 43
read 0 cycles
reading relations for dependency 44
read 0 cycles
reading relations for dependency 45
read 0 cycles
reading relations for dependency 46
read 0 cycles
reading relations for dependency 47
read 0 cycles
reading relations for dependency 48
read 0 cycles
reading relations for dependency 49
read 0 cycles
reading relations for dependency 50
read 0 cycles
reading relations for dependency 51
read 0 cycles
reading relations for dependency 52
read 0 cycles
reading relations for dependency 53
read 0 cycles
reading relations for dependency 54
read 0 cycles
reading relations for dependency 55
read 0 cycles
reading relations for dependency 56
read 0 cycles
reading relations for dependency 57
read 0 cycles
reading relations for dependency 58
read 0 cycles
reading relations for dependency 59
read 0 cycles
reading relations for dependency 60
read 0 cycles
reading relations for dependency 61
read 0 cycles
reading relations for dependency 62
read 0 cycles
reading relations for dependency 63
read 0 cycles
reading relations for dependency 64
read 0 cycles
sqrtTime: 6124


***factors found***

P82 = 4183119284776922838529604276032736624828311555185691921367233088468721581264569331
C49 = 2595770256016225102005073032499495421292960877599
P74 = 34074949696424450203629867435388334948441232519328160078921517987192022171

ans = 0
software ソフトウェア
yafu 2.11
execution environment 実行環境
Ubuntu 24.04.1 LTS x86_64, Core i3-12100, 64GB DDR4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
786KTakahashiJune 28, 2013 15:02:58 UTC 2013 年 6 月 29 日 (土) 0 時 2 分 58 秒 (日本時間)
403e62104604KTakahashiJune 28, 2013 15:02:58 UTC 2013 年 6 月 29 日 (土) 0 時 2 分 58 秒 (日本時間)
1500Dmitry DomanovJuly 31, 2013 10:12:18 UTC 2013 年 7 月 31 日 (水) 19 時 12 分 18 秒 (日本時間)
4511e658241344KTakahashiJuly 2, 2014 13:04:14 UTC 2014 年 7 月 2 日 (水) 22 時 4 分 14 秒 (日本時間)
4480Ignacio SantosDecember 5, 2021 23:22:01 UTC 2021 年 12 月 6 日 (月) 8 時 22 分 1 秒 (日本時間)

37×10203-19

c194

name 名前Bob Backstrom
date 日付May 8, 2021 23:54:15 UTC 2021 年 5 月 9 日 (日) 8 時 54 分 15 秒 (日本時間)
composite number 合成数
53640223577613510737051539696444435913793233815265283368292174039199434746734988377168725028923529434162014943964514498325922466224288259286031080349488438788794456491608813319931863933962536441<194>
prime factors 素因数
28981607045811936134013465503722160730602566229187589177572370017317039708229293<80>
1850836756320072087860129836688793388393849144839663889181244796674901230526065879793687973172524242088265072458237<115>
factorization results 素因数分解の結果
Number: n
N=53640223577613510737051539696444435913793233815265283368292174039199434746734988377168725028923529434162014943964514498325922466224288259286031080349488438788794456491608813319931863933962536441
  ( 194 digits)
SNFS difficulty: 204 digits.
Divisors found:

Sun May  9 09:44:59 2021  p80 factor: 28981607045811936134013465503722160730602566229187589177572370017317039708229293
Sun May  9 09:44:59 2021  p115 factor: 1850836756320072087860129836688793388393849144839663889181244796674901230526065879793687973172524242088265072458237
Sun May  9 09:44:59 2021  elapsed time 01:59:57 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 37x10^203-1 = 41(203)
#
n: 53640223577613510737051539696444435913793233815265283368292174039199434746734988377168725028923529434162014943964514498325922466224288259286031080349488438788794456491608813319931863933962536441
m: 10000000000000000000000000000000000000000
deg: 5
c5: 37000
c0: -1
skew: 0.12
# Murphy_E = 8.562e-12
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  special-q in [100000, 36200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8731057 hash collisions in 58471015 relations (51821535 unique)
Msieve: matrix is 2297190 x 2297415 (800.0 MB)

Sieving start time : 2021/05/08 18:36:23
Sieving end time  : 2021/05/09 07:43:40

Total sieving time: 13hrs 7min 17secs.

Total relation processing time: 1hrs 40min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 26sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,18000000,18000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
286KTakahashiJune 29, 2013 13:20:42 UTC 2013 年 6 月 29 日 (土) 22 時 20 分 42 秒 (日本時間)
403e61500Dmitry DomanovJuly 31, 2013 10:12:29 UTC 2013 年 7 月 31 日 (水) 19 時 12 分 29 秒 (日本時間)
4511e61500 / 4130Dmitry DomanovJuly 31, 2013 14:33:08 UTC 2013 年 7 月 31 日 (水) 23 時 33 分 8 秒 (日本時間)

37×10204-19

c193

name 名前Bob Backstrom
date 日付May 4, 2021 00:20:46 UTC 2021 年 5 月 4 日 (火) 9 時 20 分 46 秒 (日本時間)
composite number 合成数
9349555439859804703709108758437225447003657444693155173070764105643038763695421341869807478113971826119536319077023125607629656252443091846203667457988798226051855952793969318298681434181732573<193>
prime factors 素因数
834130368880637138850224976849609705022769<42>
11208746005023721533833580786425224345047073872006116509042140019111031093038875075095090142825812165853138406983195629069328133722686514115175373169517<152>
factorization results 素因数分解の結果
#
# N = 37x10^204-1 = 41(204)
#
n: 9349555439859804703709108758437225447003657444693155173070764105643038763695421341869807478113971826119536319077023125607629656252443091846203667457988798226051855952793969318298681434181732573
m: 50000000000000000000000000000000000000000
deg: 5
c5: 592
c0: -5
skew: 0.38
# Murphy_E = 8.623e-12
type: snfs
lss: 1
rlim: 19200000
alim: 19200000
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 9349555439859804703709108758437225447003657444693155173070764105643038763695421341869807478113971826119536319077023125607629656252443091846203667457988798226051855952793969318298681434181732573 (193 digits)
Using B1=35340000, B2=192388936756, polynomial Dickson(12), sigma=1:4248183778
Step 1 took 114540ms
Step 2 took 38535ms
********** Factor found in step 2: 834130368880637138850224976849609705022769
Found prime factor of 42 digits: 834130368880637138850224976849609705022769
Prime cofactor 11208746005023721533833580786425224345047073872006116509042140019111031093038875075095090142825812165853138406983195629069328133722686514115175373169517 has 152 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
286KTakahashiJune 29, 2013 13:21:22 UTC 2013 年 6 月 29 日 (土) 22 時 21 分 22 秒 (日本時間)
403e61500Dmitry DomanovJuly 31, 2013 10:12:39 UTC 2013 年 7 月 31 日 (水) 19 時 12 分 39 秒 (日本時間)
4511e61500 / 4130Dmitry DomanovJuly 31, 2013 14:33:37 UTC 2013 年 7 月 31 日 (水) 23 時 33 分 37 秒 (日本時間)

37×10205-19

c204

name 名前Robert Backstrom
date 日付December 15, 2013 15:29:45 UTC 2013 年 12 月 16 日 (月) 0 時 29 分 45 秒 (日本時間)
composite number 合成数
246174318030605455755156353958749168330006653359946773120425815036593479707252162341982701264138389886892880904856952761144377910844976713240186294078509647371922821024617431803060545575515635395874916833<204>
prime factors 素因数
411589277862659070831770682676272639320125173605714348507<57>
598106732296243125435584780410286217997441018131190874668221166448665559997602393958186110430914577210553363523785565456714763098427811238551813619<147>
factorization results 素因数分解の結果
Number: n
N=246174318030605455755156353958749168330006653359946773120425815036593479707252162341982701264138389886892880904856952761144377910844976713240186294078509647371922821024617431803060545575515635395874916833
  ( 204 digits)
SNFS difficulty: 206 digits.
Divisors found:

Mon Dec 16 02:18:14 2013  prp57 factor: 411589277862659070831770682676272639320125173605714348507
Mon Dec 16 02:18:14 2013  prp147 factor: 598106732296243125435584780410286217997441018131190874668221166448665559997602393958186110430914577210553363523785565456714763098427811238551813619
Mon Dec 16 02:18:14 2013  elapsed time 09:16:05 (Msieve 1.44 - dependency 5)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.772).
Factorization parameters were as follows:
#
#  37*10^205-1 - 41(205)
#
#  c204, diff: 206.57
#
skew: 0.486
n: 246174318030605455755156353958749168330006653359946773120425815036593479707252162341982701264138389886892880904856952761144377910844976713240186294078509647371922821024617431803060545575515635395874916833
m: 100000000000000000000000000000000000000000
deg: 5
c5: 37
c0: -1
# Murphy_E = 1.181e-11
type: snfs
lss: 1
rlim: 19400000
alim: 19400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 19400000/19400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 21700000)
Primes: RFBsize:1234873, AFBsize:1233178,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7615639 hash collisions in 56063740 relations (50627731 unique)
Msieve: matrix is 2222157 x 2222382 (631.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 6hrs 48min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 48min 58sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19400000,19400000,29,29,56,56,2.6,2.6,100000
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
351e6704118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
286KTakahashiJune 29, 2013 13:22:03 UTC 2013 年 6 月 29 日 (土) 22 時 22 分 3 秒 (日本時間)
300Ignacio SantosJune 29, 2013 18:01:21 UTC 2013 年 6 月 30 日 (日) 3 時 1 分 21 秒 (日本時間)
403e61610110Ignacio SantosJune 29, 2013 18:01:21 UTC 2013 年 6 月 30 日 (日) 3 時 1 分 21 秒 (日本時間)
1500Dmitry DomanovJuly 31, 2013 10:12:50 UTC 2013 年 7 月 31 日 (水) 19 時 12 分 50 秒 (日本時間)
4511e62382 / 409232Ignacio SantosJune 29, 2013 18:01:21 UTC 2013 年 6 月 30 日 (日) 3 時 1 分 21 秒 (日本時間)
1500Dmitry DomanovJuly 31, 2013 14:33:51 UTC 2013 年 7 月 31 日 (水) 23 時 33 分 51 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:41 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 41 秒 (日本時間)

37×10206-19

c151

name 名前KTakahashi
date 日付June 25, 2014 09:44:34 UTC 2014 年 6 月 25 日 (水) 18 時 44 分 34 秒 (日本時間)
composite number 合成数
3386419402445170781278041899484624736128882691451601441618316884909153897959256876547270332305509461386672483305798531503056759048209563532690152376157<151>
prime factors 素因数
165078162369958483157265405784409169225336301454339<51>
20514036222767182596023190112974084279425111600503312170632276744343082939223035200896871783033215263<101>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 3386419402445170781278041899484624736128882691451601441618316884909153897959256876547270332305509461386672483305798531503056759048209563532690152376157 (151 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4152177110
Step 1 took 36988ms
Step 2 took 16130ms
********** Factor found in step 2: 165078162369958483157265405784409169225336301454339
Found probable prime factor of 51 digits: 165078162369958483157265405784409169225336301454339
Probable prime cofactor 20514036222767182596023190112974084279425111600503312170632276744343082939223035200896871783033215263 has 101 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
786KTakahashiJune 28, 2013 15:04:12 UTC 2013 年 6 月 29 日 (土) 0 時 4 分 12 秒 (日本時間)
403e62104604KTakahashiJune 28, 2013 15:04:12 UTC 2013 年 6 月 29 日 (土) 0 時 4 分 12 秒 (日本時間)
1500Dmitry DomanovJuly 31, 2013 10:13:01 UTC 2013 年 7 月 31 日 (水) 19 時 13 分 1 秒 (日本時間)

37×10207-19

c190

name 名前Bob Backstrom
date 日付June 18, 2021 04:53:29 UTC 2021 年 6 月 18 日 (金) 13 時 53 分 29 秒 (日本時間)
composite number 合成数
3799398070496714266045606586470330776402257238873444947535705405394835636042002614650500516159182634869206004708018656087838137820573691775123459016552140092704635075401809683011970855446007<190>
prime factors 素因数
4333546285885286001251616211987859498146783<43>
437053766204947686909721141078244350679825093353616452151531<60>
2006025693660378351654967883132039268891270859325112967679873191260806128184304261492859<88>
factorization results 素因数分解の結果
#
# N = 37x10^207-1 = 41(207)
#
# n: 3799398070496714266045606586470330776402257238873444947535705405394835636042002614650500516159182634869206004708018656087838137820573691775123459016552140092704635075401809683011970855446007
#
# Found prime factor of 43 digits: 4333546285885286001251616211987859498146783
# Composite cofactor 876741084518161009372839442057081614187805104517462304802975603049861964080023354080840871402515857798143056131784882059661276958367831964542417129 has 147 digits
#
n: 876741084518161009372839442057081614187805104517462304802975603049861964080023354080840871402515857798143056131784882059661276958367831964542417129
m: 100000000000000000000000000000000000000000
deg: 5
c5: 3700
c0: -1
skew: 0.19
# Murphy_E = 7.191e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
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 3799398070496714266045606586470330776402257238873444947535705405394835636042002614650500516159182634869206004708018656087838137820573691775123459016552140092704635075401809683011970855446
007 (190 digits)
Using B1=40500000, B2=192393771586, polynomial Dickson(12), sigma=1:1440791463
Step 1 took 110256ms
Step 2 took 34168ms
********** Factor found in step 2: 4333546285885286001251616211987859498146783
Found prime factor of 43 digits: 4333546285885286001251616211987859498146783
Composite cofactor 876741084518161009372839442057081614187805104517462304802975603049861964080023354080840871402515857798143056131784882059661276958367831964542417129 has 147 digits



Number: n
N=876741084518161009372839442057081614187805104517462304802975603049861964080023354080840871402515857798143056131784882059661276958367831964542417129
  ( 147 digits)
SNFS difficulty: 208 digits.
Divisors found:

Fri Jun 18 14:47:17 2021  p60 factor: 437053766204947686909721141078244350679825093353616452151531
Fri Jun 18 14:47:17 2021  p88 factor: 2006025693660378351654967883132039268891270859325112967679873191260806128184304261492859
Fri Jun 18 14:47:17 2021  elapsed time 02:33:33 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 37x10^207-1 = 41(207)
#
# n: 3799398070496714266045606586470330776402257238873444947535705405394835636042002614650500516159182634869206004708018656087838137820573691775123459016552140092704635075401809683011970855446007
#
# Found prime factor of 43 digits: 4333546285885286001251616211987859498146783
# Composite cofactor 876741084518161009372839442057081614187805104517462304802975603049861964080023354080840871402515857798143056131784882059661276958367831964542417129 has 147 digits
#
n: 876741084518161009372839442057081614187805104517462304802975603049861964080023354080840871402515857798143056131784882059661276958367831964542417129
m: 100000000000000000000000000000000000000000
deg: 5
c5: 3700
c0: -1
skew: 0.19
# Murphy_E = 7.191e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 37700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8253560 hash collisions in 58640094 relations (52626254 unique)
Msieve: matrix is 2578602 x 2578829 (901.9 MB)

Sieving start time : 2021/06/18 00:10:31
Sieving end time  : 2021/06/18 12:11:18

Total sieving time: 12hrs 0min 47secs.

Total relation processing time: 2hrs 13min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 13sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118509] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239976K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487260K reserved, 0K cma-reserved)
[    0.154060] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798688)
[    0.150212] smpboot: Total of 16 processors activated (102389.50 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
286KTakahashiJune 29, 2013 13:22:51 UTC 2013 年 6 月 29 日 (土) 22 時 22 分 51 秒 (日本時間)
403e61500Dmitry DomanovJuly 31, 2013 10:13:11 UTC 2013 年 7 月 31 日 (水) 19 時 13 分 11 秒 (日本時間)
4511e61500 / 4130Dmitry DomanovJuly 31, 2013 14:35:29 UTC 2013 年 7 月 31 日 (水) 23 時 35 分 29 秒 (日本時間)

37×10208-19

c192

name 名前Bob Backstrom
date 日付July 14, 2021 09:50:39 UTC 2021 年 7 月 14 日 (水) 18 時 50 分 39 秒 (日本時間)
composite number 合成数
169133663540893087073589293996234331952855059284610862364590754496212668818366848458798138726993230058896275173220000725659347846376245312837187569732236082073471923989959108863000281018061437<192>
prime factors 素因数
234049356933701538742305578588676432506931846710454980846238584577391356541992108611<84>
722641009386763980888180164927225487291752955477273956250124242581477312597277170067957640668088995815189567<108>
factorization results 素因数分解の結果
Number: n
N=169133663540893087073589293996234331952855059284610862364590754496212668818366848458798138726993230058896275173220000725659347846376245312837187569732236082073471923989959108863000281018061437
  ( 192 digits)
SNFS difficulty: 210 digits.
Divisors found:

Wed Jul 14 19:42:08 2021  p84 factor: 234049356933701538742305578588676432506931846710454980846238584577391356541992108611
Wed Jul 14 19:42:08 2021  p108 factor: 722641009386763980888180164927225487291752955477273956250124242581477312597277170067957640668088995815189567
Wed Jul 14 19:42:08 2021  elapsed time 02:57:50 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 37x10^208-1 = 41(208)
#
n: 169133663540893087073589293996234331952855059284610862364590754496212668818366848458798138726993230058896275173220000725659347846376245312837187569732236082073471923989959108863000281018061437
m: 50000000000000000000000000000000000
deg: 6
c6: 592
c0: -25
skew: 0.59
# Murphy_E = 5.683e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 45900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9013542 hash collisions in 60584335 relations (54266730 unique)
Msieve: matrix is 2700243 x 2700470 (941.2 MB)

Sieving start time : 2021/07/13 23:38:01
Sieving end time  : 2021/07/14 16:42:59

Total sieving time: 17hrs 4min 58secs.

Total relation processing time: 2hrs 36min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 32sec.

Prototype def-par.txt line would be:
snfs,210,6,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118191] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153502] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.23 BogoMIPS (lpj=12798472)
[    0.152038] smpboot: Total of 16 processors activated (102387.77 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
286KTakahashiJune 29, 2013 13:23:31 UTC 2013 年 6 月 29 日 (土) 22 時 23 分 31 秒 (日本時間)
403e61500Dmitry DomanovJuly 31, 2013 10:13:29 UTC 2013 年 7 月 31 日 (水) 19 時 13 分 29 秒 (日本時間)
4511e61500 / 4130Dmitry DomanovJuly 31, 2013 14:35:40 UTC 2013 年 7 月 31 日 (水) 23 時 35 分 40 秒 (日本時間)

37×10209-19

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)

37×10210-19

c138

name 名前KTakahashi
date 日付June 29, 2013 20:37:17 UTC 2013 年 6 月 30 日 (日) 5 時 37 分 17 秒 (日本時間)
composite number 合成数
609124767518610878267575487916836650625614119153081332893672963867030594162484005698106143790096333509934305470585212356431696375497264861<138>
prime factors 素因数
20770660418172902664998466488512069<35>
437838210157205493212225430721714682030059997843<48>
66979560482925138140864347511508612935308124792839470083<56>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.1] [ECM]
Input number is 609124767518610878267575487916836650625614119153081332893672963867030594162484005698106143790096333509934305470585212356431696375497264861 (138 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1860189657
Step 1 took 12355ms
Step 2 took 4243ms
********** Factor found in step 2: 20770660418172902664998466488512069
Found probable prime factor of 35 digits: 20770660418172902664998466488512069
Composite cofactor 29326210878960232888455104263824495980050014497075892052603241402129324557728548847813987898540243030969 has 104 digits

Number: 41111_210
N=29326210878960232888455104263824495980050014497075892052603241402129324557728548847813987898540243030969
  ( 104 digits)
Divisors found:
 r1=437838210157205493212225430721714682030059997843 (pp48)
 r2=66979560482925138140864347511508612935308124792839470083 (pp56)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 8.89 hours.
Scaled time: 18.32 units (timescale=2.061).
Factorization parameters were as follows:
name: 41111_210
n: 29326210878960232888455104263824495980050014497075892052603241402129324557728548847813987898540243030969
skew: 10130.28
# norm 2.10e+014
c5: 49020
c4: 340705424
c3: -3275178943073
c2: -162766209079094335
c1: -300755130549077694291
c0: 2224192612712676115043637
# alpha -5.94
Y1: 2260261817
Y0: -56934630344938215212
# Murphy_E 2.09e-009
# M 14944412835951768333637188959352675424681920601107073856974301154742365793631363807396992241190735839416
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, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 252292 x 252518
Polynomial selection time: 0.65 hours.
Total sieving time: 7.96 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 8.89 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
3025e40--
351e6118 / 904Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)

37×10211-19

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)

37×10212-19

c202

name 名前Dmitry Domanov
date 日付August 1, 2013 06:46:46 UTC 2013 年 8 月 1 日 (木) 15 時 46 分 46 秒 (日本時間)
composite number 合成数
4108232592206567380325025154853088313000654110484948546091416003560364547386176882328995766021506505709045294377829990862701250175600485466187095443364036196142848211010824213330140016308662306504276553<202>
prime factors 素因数
168891117550801327829246915584807658693<39>
composite cofactor 合成数の残り
24324740411353120855077205533370283084782986581444768936853257335903464479010575616241629966896602237045832306744434536111046351728322827336530078713282428962308021<164>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2019745888
Step 1 took 96453ms
Step 2 took 32952ms
********** Factor found in step 2: 168891117550801327829246915584807658693
Found probable prime factor of 39 digits: 168891117550801327829246915584807658693

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
286KTakahashiJune 29, 2013 13:24:01 UTC 2013 年 6 月 29 日 (土) 22 時 24 分 1 秒 (日本時間)
403e61500Dmitry DomanovJuly 31, 2013 10:13:41 UTC 2013 年 7 月 31 日 (水) 19 時 13 分 41 秒 (日本時間)
4511e61500 / 4130Dmitry DomanovJuly 31, 2013 14:35:54 UTC 2013 年 7 月 31 日 (水) 23 時 35 分 54 秒 (日本時間)

37×10213-19

c180

composite cofactor 合成数の残り
156642029641915949889300684173235219518158076806624631687551461393042596056454306639274957265172600223547772463629623821626973595357560424887580207432489036527749457428534203129453<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
286KTakahashiJune 29, 2013 13:24:37 UTC 2013 年 6 月 29 日 (土) 22 時 24 分 37 秒 (日本時間)
403e61500Dmitry DomanovJuly 31, 2013 10:13:50 UTC 2013 年 7 月 31 日 (水) 19 時 13 分 50 秒 (日本時間)
4511e61500 / 4130Dmitry DomanovAugust 2, 2013 14:51:32 UTC 2013 年 8 月 2 日 (金) 23 時 51 分 32 秒 (日本時間)

37×10214-19

c165

composite cofactor 合成数の残り
439488642628929339896134415111131823837858623487783872297240587565411877233698575457181339113986040563051744594771816393381004074372985810934305225577757322463512703<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
786KTakahashiJune 28, 2013 15:06:05 UTC 2013 年 6 月 29 日 (土) 0 時 6 分 5 秒 (日本時間)
403e62104604KTakahashiJune 28, 2013 15:06:05 UTC 2013 年 6 月 29 日 (土) 0 時 6 分 5 秒 (日本時間)
1500Dmitry DomanovJuly 31, 2013 10:14:00 UTC 2013 年 7 月 31 日 (水) 19 時 14 分 0 秒 (日本時間)
4511e61344 / 3974KTakahashiJuly 21, 2014 08:27:39 UTC 2014 年 7 月 21 日 (月) 17 時 27 分 39 秒 (日本時間)

37×10215-19

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)

37×10216-19

c210

name 名前Dmitry Domanov
date 日付July 21, 2013 16:37:56 UTC 2013 年 7 月 22 日 (月) 1 時 37 分 56 秒 (日本時間)
composite number 合成数
151142796196712937481444923987857253112603086586713679755971867358340219419552757763509979515616831459495583139769451925706485648903674902694982673132816924150062068014740311492476248450832294563617067046180509<210>
prime factors 素因数
7621470681181575399916948509617<31>
composite cofactor 合成数の残り
19831185150381093765036478819439234194435632736705163049055832010486963378241839172768102637701496317455854241976464143798994845862646304223262401986688755337678249378846125820077<179>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=938669442
Step 1 took 81901ms
Step 2 took 26434ms
********** Factor found in step 2: 7621470681181575399916948509617
Found probable prime factor of 31 digits: 7621470681181575399916948509617

c179

name 名前Dmitry Domanov
date 日付August 5, 2013 05:02:48 UTC 2013 年 8 月 5 日 (月) 14 時 2 分 48 秒 (日本時間)
composite number 合成数
19831185150381093765036478819439234194435632736705163049055832010486963378241839172768102637701496317455854241976464143798994845862646304223262401986688755337678249378846125820077<179>
prime factors 素因数
48626664520503662991293264910270839789<38>
407825322709913216212413634142894760743134943920765467988617249961742742552828020221741521215666933792611794966478166590420362132275411347393<141>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3381860909
Step 1 took 87191ms
Step 2 took 32646ms
********** Factor found in step 2: 48626664520503662991293264910270839789
Found probable prime factor of 38 digits: 48626664520503662991293264910270839789

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
286KTakahashiJune 29, 2013 13:25:22 UTC 2013 年 6 月 29 日 (土) 22 時 25 分 22 秒 (日本時間)
403e61500Dmitry DomanovJuly 31, 2013 10:14:10 UTC 2013 年 7 月 31 日 (水) 19 時 14 分 10 秒 (日本時間)
4511e61500 / 4130Dmitry DomanovAugust 2, 2013 14:51:48 UTC 2013 年 8 月 2 日 (金) 23 時 51 分 48 秒 (日本時間)

37×10217-19

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)

37×10218-19

c169

name 名前Erik Branger
date 日付October 1, 2019 18:19:19 UTC 2019 年 10 月 2 日 (水) 3 時 19 分 19 秒 (日本時間)
composite number 合成数
2351066840660030153621604783845133708787170432579817767436759954186869080647589225915854802525173181516325370611111202490907977464688967405673806080881463558679206512607<169>
prime factors 素因数
9589953105534431559057912472270636063899280326587741127155174230320281<70>
245159367807879311883912246265473972996649447162157228931627334898569038382595302896519304456987447<99>
factorization results 素因数分解の結果
Number: 41111_218
N = 2351066840660030153621604783845133708787170432579817767436759954186869080647589225915854802525173181516325370611111202490907977464688967405673806080881463558679206512607 (169 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=9589953105534431559057912472270636063899280326587741127155174230320281 (pp70)
r2=245159367807879311883912246265473972996649447162157228931627334898569038382595302896519304456987447 (pp99)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 39.79 hours.
Factorization parameters were as follows:
n: 2351066840660030153621604783845133708787170432579817767436759954186869080647589225915854802525173181516325370611111202490907977464688967405673806080881463558679206512607
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 37
c0: -100
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: 33582023
Relations: 7651254 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 17.35 hours.
Total relation processing time: 0.27 hours.
Pruned matrix : 6774082 x 6774307
Matrix solve time: 21.84 hours.
time per square root: 0.33 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: 39.79 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
351e6904118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
786KTakahashiJune 28, 2013 15:07:08 UTC 2013 年 6 月 29 日 (土) 0 時 7 分 8 秒 (日本時間)
403e62104604KTakahashiJune 28, 2013 15:07:08 UTC 2013 年 6 月 29 日 (土) 0 時 7 分 8 秒 (日本時間)
1500Dmitry DomanovJuly 31, 2013 10:14:23 UTC 2013 年 7 月 31 日 (水) 19 時 14 分 23 秒 (日本時間)
4511e61344 / 3974KTakahashiAugust 2, 2014 13:43:02 UTC 2014 年 8 月 2 日 (土) 22 時 43 分 2 秒 (日本時間)

37×10219-19

c187

name 名前Erik Branger
date 日付March 5, 2020 15:12:39 UTC 2020 年 3 月 6 日 (金) 0 時 12 分 39 秒 (日本時間)
composite number 合成数
7550697949156835815187223870558901356532725678800031165930542703884741031230034506485759780035993430520013658115611504326019646244762370257247638848263853705856137674167720575215933103581<187>
prime factors 素因数
111754490545378496795306605514666111112033322084356297586954376627<66>
67565051858840834014952539865032342150086765931484125382282283102258126464893799961088267283148582911119804904169178093103<122>
factorization results 素因数分解の結果
Number: 41111_219
N = 7550697949156835815187223870558901356532725678800031165930542703884741031230034506485759780035993430520013658115611504326019646244762370257247638848263853705856137674167720575215933103581 (187 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=111754490545378496795306605514666111112033322084356297586954376627 (pp66)
r2=67565051858840834014952539865032342150086765931484125382282283102258126464893799961088267283148582911119804904169178093103 (pp122)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 73.06 hours.
Factorization parameters were as follows:
n: 7550697949156835815187223870558901356532725678800031165930542703884741031230034506485759780035993430520013658115611504326019646244762370257247638848263853705856137674167720575215933103581
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 37
c0: -10
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
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 7128842 relations
Pruned matrix : 6501878 x 6502103
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 37.37 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 34.88 hours.
time per square root: 0.39 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: 73.06 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz
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
351e6404118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
286KTakahashiJune 29, 2013 13:26:45 UTC 2013 年 6 月 29 日 (土) 22 時 26 分 45 秒 (日本時間)
403e61500Dmitry DomanovJuly 31, 2013 10:14:35 UTC 2013 年 7 月 31 日 (水) 19 時 14 分 35 秒 (日本時間)
4511e61500 / 2727Dmitry DomanovAugust 2, 2013 14:52:06 UTC 2013 年 8 月 2 日 (金) 23 時 52 分 6 秒 (日本時間)
5043e6400 / 7158Dmitry DomanovFebruary 28, 2014 18:55:33 UTC 2014 年 3 月 1 日 (土) 3 時 55 分 33 秒 (日本時間)

37×10220-19

c132

name 名前Cyp
date 日付February 3, 2014 04:04:15 UTC 2014 年 2 月 3 日 (月) 13 時 4 分 15 秒 (日本時間)
composite number 合成数
152780844908141497674281962623339281656227520435173993276955238884034941863841542314397459574574158543811273624579125556147629802969<132>
prime factors 素因数
43089362802524414879373545260902541667513411<44>
3545674267877332008145651300642667751737117317357453012155390798555728479490881034758579<88>
factorization results 素因数分解の結果
02/02/14 07:17:36 v1.34.3, 
02/02/14 07:17:36 v1.34.3, ****************************
02/02/14 07:17:36 v1.34.3, Starting factorization of 152780844908141497674281962623339281656227520435173993276955238884034941863841542314397459574574158543811273624579125556147629802969
02/02/14 07:17:36 v1.34.3, using pretesting plan: none
02/02/14 07:17:36 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/02/14 07:17:36 v1.34.3, ****************************
02/02/14 07:17:36 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C132
02/02/14 07:17:36 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C132
02/02/14 07:17:36 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C132
02/02/14 07:17:36 v1.34.3, final ECM pretested depth: 0.00
02/02/14 07:17:36 v1.34.3, scheduler: switching to sieve method
02/02/14 07:17:36 v1.34.3, nfs: commencing nfs on c132: 152780844908141497674281962623339281656227520435173993276955238884034941863841542314397459574574158543811273624579125556147629802969
02/02/14 07:17:36 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
02/02/14 07:17:36 v1.34.3, nfs: commencing lattice sieving with 6 threads
02/02/14 07:34:51 v1.34.3, nfs: commencing lattice sieving with 6 threads
[64 lines snipped]
02/03/14 03:22:19 v1.34.3, nfs: commencing lattice sieving with 6 threads
02/03/14 03:42:04 v1.34.3, nfs: commencing lattice sieving with 6 threads
02/03/14 04:01:20 v1.34.3, nfs: commencing msieve filtering
02/03/14 04:06:51 v1.34.3, nfs: commencing msieve linear algebra
02/03/14 04:59:30 v1.34.3, nfs: commencing msieve sqrt
02/03/14 05:04:13 v1.34.3, prp44 = 43089362802524414879373545260902541667513411
02/03/14 05:04:13 v1.34.3, prp88 = 3545674267877332008145651300642667751737117317357453012155390798555728479490881034758579
02/03/14 05:04:13 v1.34.3, NFS elapsed time = 78397.0228 seconds.
02/03/14 05:04:13 v1.34.3, 
02/03/14 05:04:13 v1.34.3, 
02/03/14 05:04:13 v1.34.3, Total factoring time = 78397.0855 seconds
--
Mon Feb  3 04:01:20 2014  
Mon Feb  3 04:01:20 2014  commencing relation filtering
Mon Feb  3 04:01:20 2014  estimated available RAM is 15988.7 MB
Mon Feb  3 04:01:20 2014  commencing duplicate removal, pass 1
Mon Feb  3 04:02:59 2014  found 2962332 hash collisions in 21268530 relations
Mon Feb  3 04:03:24 2014  added 120346 free relations
Mon Feb  3 04:03:24 2014  commencing duplicate removal, pass 2
Mon Feb  3 04:03:44 2014  found 1998250 duplicates and 19390626 unique relations
Mon Feb  3 04:03:44 2014  memory use: 82.6 MB
Mon Feb  3 04:03:44 2014  reading ideals above 720000
Mon Feb  3 04:03:44 2014  commencing singleton removal, initial pass
Mon Feb  3 04:05:38 2014  memory use: 376.5 MB
Mon Feb  3 04:05:38 2014  reading all ideals from disk
Mon Feb  3 04:05:38 2014  memory use: 599.0 MB
Mon Feb  3 04:05:40 2014  keeping 20118611 ideals with weight <= 200, target excess is 120023
Mon Feb  3 04:05:42 2014  commencing in-memory singleton removal
Mon Feb  3 04:05:43 2014  begin with 19390626 relations and 20118611 unique ideals
Mon Feb  3 04:05:56 2014  reduce to 8636050 relations and 7723052 ideals in 15 passes
Mon Feb  3 04:05:56 2014  max relations containing the same ideal: 115
Mon Feb  3 04:06:00 2014  removing 2006570 relations and 1619684 ideals in 386886 cliques
Mon Feb  3 04:06:00 2014  commencing in-memory singleton removal
Mon Feb  3 04:06:01 2014  begin with 6629480 relations and 7723052 unique ideals
Mon Feb  3 04:06:06 2014  reduce to 6254156 relations and 5706586 ideals in 10 passes
Mon Feb  3 04:06:06 2014  max relations containing the same ideal: 89
Mon Feb  3 04:06:08 2014  removing 1576938 relations and 1190052 ideals in 386886 cliques
Mon Feb  3 04:06:08 2014  commencing in-memory singleton removal
Mon Feb  3 04:06:08 2014  begin with 4677218 relations and 5706586 unique ideals
Mon Feb  3 04:06:10 2014  reduce to 4357226 relations and 4176272 ideals in 10 passes
Mon Feb  3 04:06:10 2014  max relations containing the same ideal: 69
Mon Feb  3 04:06:12 2014  removing 281324 relations and 239597 ideals in 41727 cliques
Mon Feb  3 04:06:12 2014  commencing in-memory singleton removal
Mon Feb  3 04:06:12 2014  begin with 4075902 relations and 4176272 unique ideals
Mon Feb  3 04:06:14 2014  reduce to 4064084 relations and 3924758 ideals in 8 passes
Mon Feb  3 04:06:14 2014  max relations containing the same ideal: 66
Mon Feb  3 04:06:14 2014  relations with 0 large ideals: 452
Mon Feb  3 04:06:14 2014  relations with 1 large ideals: 1857
Mon Feb  3 04:06:14 2014  relations with 2 large ideals: 27639
Mon Feb  3 04:06:14 2014  relations with 3 large ideals: 174380
Mon Feb  3 04:06:14 2014  relations with 4 large ideals: 569324
Mon Feb  3 04:06:14 2014  relations with 5 large ideals: 1052882
Mon Feb  3 04:06:14 2014  relations with 6 large ideals: 1152157
Mon Feb  3 04:06:14 2014  relations with 7+ large ideals: 1085393
Mon Feb  3 04:06:14 2014  commencing 2-way merge
Mon Feb  3 04:06:16 2014  reduce to 2402874 relation sets and 2263548 unique ideals
Mon Feb  3 04:06:16 2014  commencing full merge
Mon Feb  3 04:06:39 2014  memory use: 277.6 MB
Mon Feb  3 04:06:40 2014  found 1246451 cycles, need 1227748
Mon Feb  3 04:06:40 2014  weight of 1227748 cycles is about 85977483 (70.03/cycle)
Mon Feb  3 04:06:40 2014  distribution of cycle lengths:
Mon Feb  3 04:06:40 2014  1 relations: 149435
Mon Feb  3 04:06:40 2014  2 relations: 136790
Mon Feb  3 04:06:40 2014  3 relations: 135258
Mon Feb  3 04:06:40 2014  4 relations: 125931
Mon Feb  3 04:06:40 2014  5 relations: 118440
Mon Feb  3 04:06:40 2014  6 relations: 104700
Mon Feb  3 04:06:40 2014  7 relations: 92593
Mon Feb  3 04:06:40 2014  8 relations: 80308
Mon Feb  3 04:06:40 2014  9 relations: 67415
Mon Feb  3 04:06:40 2014  10+ relations: 216878
Mon Feb  3 04:06:40 2014  heaviest cycle: 19 relations
Mon Feb  3 04:06:40 2014  commencing cycle optimization
Mon Feb  3 04:06:42 2014  start with 7096480 relations
Mon Feb  3 04:06:50 2014  pruned 168300 relations
Mon Feb  3 04:06:50 2014  memory use: 236.7 MB
Mon Feb  3 04:06:50 2014  distribution of cycle lengths:
Mon Feb  3 04:06:50 2014  1 relations: 149435
Mon Feb  3 04:06:50 2014  2 relations: 139647
Mon Feb  3 04:06:50 2014  3 relations: 139922
Mon Feb  3 04:06:50 2014  4 relations: 128926
Mon Feb  3 04:06:50 2014  5 relations: 121714
Mon Feb  3 04:06:50 2014  6 relations: 106153
Mon Feb  3 04:06:50 2014  7 relations: 94084
Mon Feb  3 04:06:50 2014  8 relations: 80459
Mon Feb  3 04:06:50 2014  9 relations: 66963
Mon Feb  3 04:06:50 2014  10+ relations: 200445
Mon Feb  3 04:06:50 2014  heaviest cycle: 19 relations
Mon Feb  3 04:06:51 2014  RelProcTime: 331
Mon Feb  3 04:06:51 2014  
Mon Feb  3 04:06:51 2014  commencing linear algebra
Mon Feb  3 04:06:52 2014  read 1227748 cycles
Mon Feb  3 04:06:53 2014  cycles contain 3959418 unique relations
Mon Feb  3 04:07:26 2014  read 3959418 relations
Mon Feb  3 04:07:30 2014  using 20 quadratic characters above 268433528
Mon Feb  3 04:07:43 2014  building initial matrix
Mon Feb  3 04:08:09 2014  memory use: 515.5 MB
Mon Feb  3 04:08:09 2014  read 1227748 cycles
Mon Feb  3 04:08:09 2014  matrix is 1227577 x 1227748 (371.8 MB) with weight 119061985 (96.98/col)
Mon Feb  3 04:08:09 2014  sparse part has weight 82732021 (67.39/col)
Mon Feb  3 04:08:17 2014  filtering completed in 2 passes
Mon Feb  3 04:08:17 2014  matrix is 1226788 x 1226965 (371.7 MB) with weight 119027630 (97.01/col)
Mon Feb  3 04:08:17 2014  sparse part has weight 82721792 (67.42/col)
Mon Feb  3 04:08:22 2014  matrix starts at (0, 0)
Mon Feb  3 04:08:22 2014  matrix is 1226788 x 1226965 (371.7 MB) with weight 119027630 (97.01/col)
Mon Feb  3 04:08:22 2014  sparse part has weight 82721792 (67.42/col)
Mon Feb  3 04:08:22 2014  saving the first 48 matrix rows for later
Mon Feb  3 04:08:22 2014  matrix includes 64 packed rows
Mon Feb  3 04:08:23 2014  matrix is 1226740 x 1226965 (359.3 MB) with weight 94560270 (77.07/col)
Mon Feb  3 04:08:23 2014  sparse part has weight 81909532 (66.76/col)
Mon Feb  3 04:08:23 2014  using block size 65536 for processor cache size 8192 kB
Mon Feb  3 04:08:26 2014  commencing Lanczos iteration (6 threads)
Mon Feb  3 04:08:26 2014  memory use: 327.1 MB
Mon Feb  3 04:08:30 2014  linear algebra at 0.1%, ETA 0h53m
Mon Feb  3 04:08:31 2014  checkpointing every 1460000 dimensions
Mon Feb  3 04:59:29 2014  lanczos halted after 19399 iterations (dim = 1226740)
Mon Feb  3 04:59:30 2014  recovered 31 nontrivial dependencies
Mon Feb  3 04:59:30 2014  BLanczosTime: 3159
Mon Feb  3 04:59:30 2014  
Mon Feb  3 04:59:30 2014  commencing square root phase
Mon Feb  3 04:59:30 2014  reading relations for dependency 1
Mon Feb  3 04:59:30 2014  read 613111 cycles
Mon Feb  3 04:59:31 2014  cycles contain 1977924 unique relations
Mon Feb  3 04:59:53 2014  read 1977924 relations
Mon Feb  3 04:59:58 2014  multiplying 1977924 relations
Mon Feb  3 05:02:05 2014  multiply complete, coefficients have about 85.37 million bits
Mon Feb  3 05:02:06 2014  initial square root is modulo 1341737
Mon Feb  3 05:04:13 2014  sqrtTime: 283
--
# Murphy_E = 8.073e-11, selected by Dmitry Domanov
n: 152780844908141497674281962623339281656227520435173993276955238884034941863841542314397459574574158543811273624579125556147629802969
Y0: -42211700076312962707329746
Y1: 4334040355169
c0: -1957804848731837729031001264184085
c1: 3789478828360043513890664031
c2: 6740744461385336464154
c3: -4390373227884439
c4: -4154284881
c5: 1140
skew: 1338775.54
type: gnfs
# selected mechanically
rlim: 10500000
alim: 10500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
786KTakahashiJune 28, 2013 14:58:28 UTC 2013 年 6 月 28 日 (金) 23 時 58 分 28 秒 (日本時間)
403e62104KTakahashiJune 28, 2013 14:58:28 UTC 2013 年 6 月 28 日 (金) 23 時 58 分 28 秒 (日本時間)
4511e61715 / 397415KTakahashiJune 28, 2013 15:13:35 UTC 2013 年 6 月 29 日 (土) 0 時 13 分 35 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:16 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 16 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:25 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 25 秒 (日本時間)

37×10221-19

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)

37×10222-19

c164

name 名前Erik Branger
date 日付August 8, 2019 14:55:55 UTC 2019 年 8 月 8 日 (木) 23 時 55 分 55 秒 (日本時間)
composite number 合成数
33676657871505666961839506698430249874877224842940915072021364733148885942452264442294811734802332244963340942572898772393472155776833171169435209978391360676211583<164>
prime factors 素因数
438113926107476480330251910182738464096423450743016451922782147158506676119214493<81>
76867353135093529062066608493302906824346248709856211990077443771695884073369341131<83>
factorization results 素因数分解の結果
Number: 41111_222
N = 33676657871505666961839506698430249874877224842940915072021364733148885942452264442294811734802332244963340942572898772393472155776833171169435209978391360676211583 (164 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=438113926107476480330251910182738464096423450743016451922782147158506676119214493 (pp81)
r2=76867353135093529062066608493302906824346248709856211990077443771695884073369341131 (pp83)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 508.80 hours.
Factorization parameters were as follows:
n: 33676657871505666961839506698430249874877224842940915072021364733148885942452264442294811734802332244963340942572898772393472155776833171169435209978391360676211583
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 3700
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369622
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: 536870912/22369622
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33632284
Relations: 9888402 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 37.39 hours.
Total relation processing time: 0.37 hours.
Pruned matrix : 8452779 x 8453004
Matrix solve time: 469.86 hours.
time per square root: 1.18 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000
total time: 508.80 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-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
351e6904118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
786KTakahashiJune 28, 2013 15:07:58 UTC 2013 年 6 月 29 日 (土) 0 時 7 分 58 秒 (日本時間)
403e62104604KTakahashiJune 28, 2013 15:07:58 UTC 2013 年 6 月 29 日 (土) 0 時 7 分 58 秒 (日本時間)
1500Dmitry DomanovJuly 31, 2013 10:14:52 UTC 2013 年 7 月 31 日 (水) 19 時 14 分 52 秒 (日本時間)
4511e61344 / 3974KTakahashiJuly 21, 2014 07:22:19 UTC 2014 年 7 月 21 日 (月) 16 時 22 分 19 秒 (日本時間)

37×10223-19

c191

name 名前Dmitry Domanov
date 日付July 21, 2013 16:39:12 UTC 2013 年 7 月 22 日 (月) 1 時 39 分 12 秒 (日本時間)
composite number 合成数
84775226989946221628034860365261632083582371434028168879175278532264461918674628184808483458531153503918895053892239905453484499983657604962806204831807743475525320314797735141750605689109509<191>
prime factors 素因数
12014925899166776550717605203937448469<38>
7055826036831846073722387313147697256170582598068246473647873259284939250683646209197198454106625224225623945399321978346528730409843253941412936942874161<154>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=389226840
Step 1 took 71915ms
Step 2 took 23575ms
********** Factor found in step 2: 12014925899166776550717605203937448469
Found probable prime factor of 38 digits: 12014925899166776550717605203937448469

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6404 / 904118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
286KTakahashiJune 29, 2013 13:28:03 UTC 2013 年 6 月 29 日 (土) 22 時 28 分 3 秒 (日本時間)

37×10224-19

c200

name 名前KTakahashi
date 日付June 28, 2013 15:10:05 UTC 2013 年 6 月 29 日 (土) 0 時 10 分 5 秒 (日本時間)
composite number 合成数
36300109440825402421250546550536474811655220719005371830247547690200526379723058519619448699708634161418818353218646925429228082739171310151284965332483621041264794881384749968822124472471261294402101<200>
prime factors 素因数
161635545144509689755628978207<30>
composite cofactor 合成数の残り
224579992033134898930928804708442048411607578377745446403508379926147454469074402926627899033224405491364595020712408569539952764206292461931924061229298044634772340345643<171>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.1] [ECM]
Input number is 36300109440825402421250546550536474811655220719005371830247547690200526379723058519619448699708634161418818353218646925429228082739171310151284965332483621041264794881384749968822124472471261294402101 (200 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=206935040
Step 1 took 24975ms
Step 2 took 7145ms
********** Factor found in step 2: 161635545144509689755628978207
Found probable prime factor of 30 digits: 161635545144509689755628978207
Composite cofactor 224579992033134898930928804708442048411607578377745446403508379926147454469074402926627899033224405491364595020712408569539952764206292461931924061229298044634772340345643 has 171 digits

c171

name 名前Dmitry Domanov
date 日付July 21, 2013 16:37:06 UTC 2013 年 7 月 22 日 (月) 1 時 37 分 6 秒 (日本時間)
composite number 合成数
224579992033134898930928804708442048411607578377745446403508379926147454469074402926627899033224405491364595020712408569539952764206292461931924061229298044634772340345643<171>
prime factors 素因数
1929713405395664985205095564573851<34>
composite cofactor 合成数の残り
116379971971582701962223814501458874797417995430143157593939299318398567019487942552240951553526215478044671370343690077784018614177852593<138>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3857124806
Step 1 took 58539ms
Step 2 took 20444ms
********** Factor found in step 2: 1929713405395664985205095564573851
Found probable prime factor of 34 digits: 1929713405395664985205095564573851

c138

name 名前Erik Branger
date 日付June 3, 2014 06:04:41 UTC 2014 年 6 月 3 日 (火) 15 時 4 分 41 秒 (日本時間)
composite number 合成数
116379971971582701962223814501458874797417995430143157593939299318398567019487942552240951553526215478044671370343690077784018614177852593<138>
prime factors 素因数
2876890126921712258326942027604045315688472137005196669963511<61>
40453394755158721040935296976895337719109697844452550224221826293033490477463<77>
factorization results 素因数分解の結果
Number: 41111_224
N = 116379971971582701962223814501458874797417995430143157593939299318398567019487942552240951553526215478044671370343690077784018614177852593 (138 digits)
Divisors found:
r1=2876890126921712258326942027604045315688472137005196669963511 (pp61)
r2=40453394755158721040935296976895337719109697844452550224221826293033490477463 (pp77)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 125.17 hours.
Factorization parameters were as follows:
# Murphy_E = 3.276e-11, selected by Dmitry Domanov
n: 116379971971582701962223814501458874797417995430143157593939299318398567019487942552240951553526215478044671370343690077784018614177852593
Y0: -212974347838273233337395686
Y1: 1419911821480751
c0: 537223776517248783171961814695325
c1: -1343761359830826414696146537
c2: -15151594266637135147967
c3: -102185981654281259
c4: 56086996958
c5: 265608
skew: 420552.92
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: 22498070
Relations: 3701800 relations
Pruned matrix : 2238857 x 2239084
Polynomial selection time: 0.00 hours.
Total sieving time: 121.62 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.32 hours.
time per square root: 0.11 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: 125.17 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
351e6704118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
286KTakahashiJune 29, 2013 14:35:44 UTC 2013 年 6 月 29 日 (土) 23 時 35 分 44 秒 (日本時間)
300Ignacio SantosJuly 24, 2013 08:38:39 UTC 2013 年 7 月 24 日 (水) 17 時 38 分 39 秒 (日本時間)
403e61610110Ignacio SantosJuly 24, 2013 08:38:39 UTC 2013 年 7 月 24 日 (水) 17 時 38 分 39 秒 (日本時間)
1500Dmitry DomanovJuly 31, 2013 10:15:06 UTC 2013 年 7 月 31 日 (水) 19 時 15 分 6 秒 (日本時間)
4511e6493232Ignacio SantosJuly 24, 2013 08:38:39 UTC 2013 年 7 月 24 日 (水) 17 時 38 分 39 秒 (日本時間)
1000Dmitry DomanovAugust 7, 2013 22:31:42 UTC 2013 年 8 月 8 日 (木) 7 時 31 分 42 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:47 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 47 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:54 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 54 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:11 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 11 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)

37×10225-19

c176

name 名前Dmitry Domanov
date 日付July 21, 2013 16:36:19 UTC 2013 年 7 月 22 日 (月) 1 時 36 分 19 秒 (日本時間)
composite number 合成数
45279206154953708641981710576892468320866587164750475354425979621555446865002883173605812430871338253749265487712540907900962884649204420288565619697074934088581342628179820409<176>
prime factors 素因数
1740722276689935119919646555921321807<37>
composite cofactor 合成数の残り
26011734761649766639675518179521232876870789285854566345241146990184570242067534610851542236525315178023074357375776433476629570615601877687<140>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2242681020
Step 1 took 70549ms
Step 2 took 22376ms
********** Factor found in step 2: 1740722276689935119919646555921321807
Found probable prime factor of 37 digits: 1740722276689935119919646555921321807

c140

name 名前Cyp
date 日付March 16, 2014 14:50:18 UTC 2014 年 3 月 16 日 (日) 23 時 50 分 18 秒 (日本時間)
composite number 合成数
26011734761649766639675518179521232876870789285854566345241146990184570242067534610851542236525315178023074357375776433476629570615601877687<140>
prime factors 素因数
11046578289714913591059109261038457890972407416111487476153<59>
2354732305284831219587208117055373686681432935660984920788950523613205749398327279<82>
factorization results 素因数分解の結果
03/14/14 07:45:03 v1.34.3, 
03/14/14 07:45:03 v1.34.3, ****************************
03/14/14 07:45:03 v1.34.3, Starting factorization of 26011734761649766639675518179521232876870789285854566345241146990184570242067534610851542236525315178023074357375776433476629570615601877687
03/14/14 07:45:03 v1.34.3, using pretesting plan: none
03/14/14 07:45:03 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/14/14 07:45:03 v1.34.3, ****************************
03/14/14 07:45:03 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C140
03/14/14 07:45:03 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C140
03/14/14 07:45:03 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C140
03/14/14 07:45:03 v1.34.3, final ECM pretested depth: 0.00
03/14/14 07:45:03 v1.34.3, scheduler: switching to sieve method
03/14/14 07:45:03 v1.34.3, nfs: commencing nfs on c140: 26011734761649766639675518179521232876870789285854566345241146990184570242067534610851542236525315178023074357375776433476629570615601877687
03/14/14 07:45:03 v1.34.3, nfs: commencing poly selection with 8 threads
03/14/14 07:45:03 v1.34.3, nfs: setting deadline of 27105 seconds
03/14/14 15:18:49 v1.34.3, nfs: completed 2961 ranges of size 250 in 27225.4951 seconds
03/14/14 15:18:49 v1.34.3, nfs: best poly = # norm 2.026979e-13 alpha -6.380908 e 2.235e-11 rroots 5
03/14/14 15:18:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/14/14 15:52:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
[70 lines snipped]
03/16/14 09:31:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/16/14 10:07:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/16/14 10:41:04 v1.34.3, nfs: commencing msieve filtering
03/16/14 10:44:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/16/14 11:19:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/16/14 11:54:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/16/14 12:29:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/16/14 13:04:45 v1.34.3, nfs: commencing msieve filtering
03/16/14 13:09:58 v1.34.3, nfs: commencing msieve linear algebra
03/16/14 15:43:09 v1.34.3, nfs: commencing msieve sqrt
03/16/14 15:50:17 v1.34.3, prp82 = 2354732305284831219587208117055373686681432935660984920788950523613205749398327279
03/16/14 15:50:17 v1.34.3, prp59 = 11046578289714913591059109261038457890972407416111487476153
03/16/14 15:50:17 v1.34.3, NFS elapsed time = 201913.9229 seconds.
03/16/14 15:50:17 v1.34.3, 
03/16/14 15:50:17 v1.34.3, 
03/16/14 15:50:17 v1.34.3, Total factoring time = 201913.9523 seconds
--
Sun Mar 16 10:41:04 2014  
Sun Mar 16 10:41:04 2014  commencing relation filtering
Sun Mar 16 10:41:04 2014  estimated available RAM is 15988.7 MB
Sun Mar 16 10:41:04 2014  commencing duplicate removal, pass 1
Sun Mar 16 10:42:18 2014  found 2741096 hash collisions in 21264703 relations
Sun Mar 16 10:42:40 2014  added 121436 free relations
Sun Mar 16 10:42:40 2014  commencing duplicate removal, pass 2
Sun Mar 16 10:42:59 2014  found 1691137 duplicates and 19695002 unique relations
Sun Mar 16 10:42:59 2014  memory use: 82.6 MB
Sun Mar 16 10:42:59 2014  reading ideals above 720000
Sun Mar 16 10:42:59 2014  commencing singleton removal, initial pass
Sun Mar 16 10:44:34 2014  memory use: 689.0 MB
Sun Mar 16 10:44:34 2014  reading all ideals from disk
Sun Mar 16 10:44:34 2014  memory use: 645.1 MB
Sun Mar 16 10:44:35 2014  keeping 21891622 ideals with weight <= 200, target excess is 124118
Sun Mar 16 10:44:36 2014  commencing in-memory singleton removal
Sun Mar 16 10:44:37 2014  begin with 19695002 relations and 21891622 unique ideals
Sun Mar 16 10:44:49 2014  reduce to 7294435 relations and 7382376 ideals in 25 passes
Sun Mar 16 10:44:49 2014  max relations containing the same ideal: 102
Sun Mar 16 13:04:45 2014  
Sun Mar 16 13:04:45 2014  commencing relation filtering
Sun Mar 16 13:04:45 2014  estimated available RAM is 15988.7 MB
Sun Mar 16 13:04:45 2014  commencing duplicate removal, pass 1
Sun Mar 16 13:06:04 2014  found 3005708 hash collisions in 22521877 relations
Sun Mar 16 13:06:25 2014  added 75 free relations
Sun Mar 16 13:06:25 2014  commencing duplicate removal, pass 2
Sun Mar 16 13:06:46 2014  found 1849752 duplicates and 20672200 unique relations
Sun Mar 16 13:06:46 2014  memory use: 82.6 MB
Sun Mar 16 13:06:46 2014  reading ideals above 720000
Sun Mar 16 13:06:46 2014  commencing singleton removal, initial pass
Sun Mar 16 13:08:25 2014  memory use: 689.0 MB
Sun Mar 16 13:08:26 2014  reading all ideals from disk
Sun Mar 16 13:08:26 2014  memory use: 677.5 MB
Sun Mar 16 13:08:27 2014  keeping 22275795 ideals with weight <= 200, target excess is 127491
Sun Mar 16 13:08:28 2014  commencing in-memory singleton removal
Sun Mar 16 13:08:29 2014  begin with 20672200 relations and 22275795 unique ideals
Sun Mar 16 13:08:40 2014  reduce to 8755482 relations and 8464811 ideals in 18 passes
Sun Mar 16 13:08:40 2014  max relations containing the same ideal: 115
Sun Mar 16 13:08:43 2014  removing 809275 relations and 737884 ideals in 71391 cliques
Sun Mar 16 13:08:43 2014  commencing in-memory singleton removal
Sun Mar 16 13:08:43 2014  begin with 7946207 relations and 8464811 unique ideals
Sun Mar 16 13:08:48 2014  reduce to 7881815 relations and 7661783 ideals in 11 passes
Sun Mar 16 13:08:48 2014  max relations containing the same ideal: 105
Sun Mar 16 13:08:50 2014  removing 594430 relations and 523039 ideals in 71391 cliques
Sun Mar 16 13:08:50 2014  commencing in-memory singleton removal
Sun Mar 16 13:08:51 2014  begin with 7287385 relations and 7661783 unique ideals
Sun Mar 16 13:08:54 2014  reduce to 7248255 relations and 7099228 ideals in 8 passes
Sun Mar 16 13:08:54 2014  max relations containing the same ideal: 96
Sun Mar 16 13:08:57 2014  relations with 0 large ideals: 486
Sun Mar 16 13:08:57 2014  relations with 1 large ideals: 865
Sun Mar 16 13:08:57 2014  relations with 2 large ideals: 15742
Sun Mar 16 13:08:57 2014  relations with 3 large ideals: 125723
Sun Mar 16 13:08:57 2014  relations with 4 large ideals: 539706
Sun Mar 16 13:08:57 2014  relations with 5 large ideals: 1350288
Sun Mar 16 13:08:57 2014  relations with 6 large ideals: 2036704
Sun Mar 16 13:08:57 2014  relations with 7+ large ideals: 3178741
Sun Mar 16 13:08:57 2014  commencing 2-way merge
Sun Mar 16 13:09:00 2014  reduce to 4182163 relation sets and 4033136 unique ideals
Sun Mar 16 13:09:00 2014  commencing full merge
Sun Mar 16 13:09:42 2014  memory use: 466.9 MB
Sun Mar 16 13:09:42 2014  found 2152263 cycles, need 2133336
Sun Mar 16 13:09:43 2014  weight of 2133336 cycles is about 149566063 (70.11/cycle)
Sun Mar 16 13:09:43 2014  distribution of cycle lengths:
Sun Mar 16 13:09:43 2014  1 relations: 298663
Sun Mar 16 13:09:43 2014  2 relations: 275006
Sun Mar 16 13:09:43 2014  3 relations: 269060
Sun Mar 16 13:09:43 2014  4 relations: 234875
Sun Mar 16 13:09:43 2014  5 relations: 196585
Sun Mar 16 13:09:43 2014  6 relations: 166779
Sun Mar 16 13:09:43 2014  7 relations: 138225
Sun Mar 16 13:09:43 2014  8 relations: 112938
Sun Mar 16 13:09:43 2014  9 relations: 91586
Sun Mar 16 13:09:43 2014  10+ relations: 349619
Sun Mar 16 13:09:43 2014  heaviest cycle: 22 relations
Sun Mar 16 13:09:43 2014  commencing cycle optimization
Sun Mar 16 13:09:45 2014  start with 11765594 relations
Sun Mar 16 13:09:55 2014  pruned 216115 relations
Sun Mar 16 13:09:55 2014  memory use: 411.0 MB
Sun Mar 16 13:09:55 2014  distribution of cycle lengths:
Sun Mar 16 13:09:55 2014  1 relations: 298663
Sun Mar 16 13:09:55 2014  2 relations: 280857
Sun Mar 16 13:09:55 2014  3 relations: 277177
Sun Mar 16 13:09:55 2014  4 relations: 238377
Sun Mar 16 13:09:55 2014  5 relations: 199242
Sun Mar 16 13:09:55 2014  6 relations: 167101
Sun Mar 16 13:09:55 2014  7 relations: 137613
Sun Mar 16 13:09:55 2014  8 relations: 111410
Sun Mar 16 13:09:55 2014  9 relations: 90270
Sun Mar 16 13:09:55 2014  10+ relations: 332626
Sun Mar 16 13:09:55 2014  heaviest cycle: 22 relations
Sun Mar 16 13:09:57 2014  RelProcTime: 312
Sun Mar 16 13:09:58 2014  
Sun Mar 16 13:09:58 2014  commencing linear algebra
Sun Mar 16 13:09:58 2014  read 2133336 cycles
Sun Mar 16 13:10:00 2014  cycles contain 7064920 unique relations
Sun Mar 16 13:10:35 2014  read 7064920 relations
Sun Mar 16 13:10:41 2014  using 20 quadratic characters above 268435172
Sun Mar 16 13:11:04 2014  building initial matrix
Sun Mar 16 13:11:48 2014  memory use: 913.5 MB
Sun Mar 16 13:11:49 2014  read 2133336 cycles
Sun Mar 16 13:11:49 2014  matrix is 2133157 x 2133336 (651.7 MB) with weight 202412730 (94.88/col)
Sun Mar 16 13:11:49 2014  sparse part has weight 145245914 (68.08/col)
Sun Mar 16 13:12:04 2014  filtering completed in 2 passes
Sun Mar 16 13:12:04 2014  matrix is 2128901 x 2129080 (651.4 MB) with weight 202251838 (94.99/col)
Sun Mar 16 13:12:04 2014  sparse part has weight 145203523 (68.20/col)
Sun Mar 16 13:12:10 2014  matrix starts at (0, 0)
Sun Mar 16 13:12:10 2014  matrix is 2128901 x 2129080 (651.4 MB) with weight 202251838 (94.99/col)
Sun Mar 16 13:12:10 2014  sparse part has weight 145203523 (68.20/col)
Sun Mar 16 13:12:10 2014  saving the first 48 matrix rows for later
Sun Mar 16 13:12:11 2014  matrix includes 64 packed rows
Sun Mar 16 13:12:11 2014  matrix is 2128853 x 2129080 (625.8 MB) with weight 161383951 (75.80/col)
Sun Mar 16 13:12:11 2014  sparse part has weight 142750599 (67.05/col)
Sun Mar 16 13:12:11 2014  using block size 65536 for processor cache size 8192 kB
Sun Mar 16 13:12:16 2014  commencing Lanczos iteration (8 threads)
Sun Mar 16 13:12:16 2014  memory use: 608.1 MB
Sun Mar 16 13:12:22 2014  linear algebra at 0.1%, ETA 2h19m
Sun Mar 16 13:12:24 2014  checkpointing every 920000 dimensions
Sun Mar 16 15:43:07 2014  lanczos halted after 33667 iterations (dim = 2128853)
Sun Mar 16 15:43:09 2014  recovered 29 nontrivial dependencies
Sun Mar 16 15:43:09 2014  BLanczosTime: 9191
Sun Mar 16 15:43:09 2014  
Sun Mar 16 15:43:09 2014  commencing square root phase
Sun Mar 16 15:43:09 2014  reading relations for dependency 1
Sun Mar 16 15:43:09 2014  read 1065968 cycles
Sun Mar 16 15:43:10 2014  cycles contain 3533990 unique relations
Sun Mar 16 15:43:36 2014  read 3533990 relations
Sun Mar 16 15:43:47 2014  multiplying 3533990 relations
Sun Mar 16 15:46:40 2014  multiply complete, coefficients have about 180.45 million bits
Sun Mar 16 15:46:41 2014  initial square root is modulo 2992621
Sun Mar 16 15:50:17 2014  sqrtTime: 428
--
n: 26011734761649766639675518179521232876870789285854566345241146990184570242067534610851542236525315178023074357375776433476629570615601877687
skew: 432252.85
c0: 542382932195922672643075868185661
c1: 4918220199977902598808938494
c2: -53782486585340495077817
c3: -13636699347150484
c4: 289871352606
c5: 139860
Y0: -714323852768178621024374832
Y1: 24734517076019
rlim: 14000000
alim: 14000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6704118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
286KTakahashiJune 29, 2013 13:28:43 UTC 2013 年 6 月 29 日 (土) 22 時 28 分 43 秒 (日本時間)
300Ignacio SantosJuly 24, 2013 08:59:41 UTC 2013 年 7 月 24 日 (水) 17 時 59 分 41 秒 (日本時間)
403e61610110Ignacio SantosJuly 24, 2013 08:59:41 UTC 2013 年 7 月 24 日 (水) 17 時 59 分 41 秒 (日本時間)
1500Dmitry DomanovJuly 31, 2013 10:15:17 UTC 2013 年 7 月 31 日 (水) 19 時 15 分 17 秒 (日本時間)
4511e6409232Ignacio SantosJuly 24, 2013 08:59:41 UTC 2013 年 7 月 24 日 (水) 17 時 59 分 41 秒 (日本時間)
1600Dmitry DomanovAugust 8, 2013 10:10:43 UTC 2013 年 8 月 8 日 (木) 19 時 10 分 43 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:46:05 UTC 2013 年 11 月 8 日 (金) 10 時 46 分 5 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:13 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 13 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:23 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 23 秒 (日本時間)
360KTakahashiFebruary 24, 2014 22:50:22 UTC 2014 年 2 月 25 日 (火) 7 時 50 分 22 秒 (日本時間)

37×10226-19

c184

composite cofactor 合成数の残り
2354753779254900239528571222694854322442474024333275018799339912135307623555236148000374902926895259586344707332621481587993119021547927965679018238061705350032194281245233231116575423<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
286KTakahashiJune 29, 2013 13:29:24 UTC 2013 年 6 月 29 日 (土) 22 時 29 分 24 秒 (日本時間)
403e61500Dmitry DomanovJuly 31, 2013 10:15:28 UTC 2013 年 7 月 31 日 (水) 19 時 15 分 28 秒 (日本時間)
4511e61500 / 2727Dmitry DomanovAugust 2, 2013 14:52:30 UTC 2013 年 8 月 2 日 (金) 23 時 52 分 30 秒 (日本時間)
5043e6400 / 7158Dmitry DomanovFebruary 28, 2014 18:50:35 UTC 2014 年 3 月 1 日 (土) 3 時 50 分 35 秒 (日本時間)

37×10227-19

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)

37×10228-19

c164

name 名前KTakahashi
date 日付June 28, 2013 15:54:26 UTC 2013 年 6 月 29 日 (土) 0 時 54 分 26 秒 (日本時間)
composite number 合成数
84871393393671322937258255191798883101524162160557921462883479045334566885680280462257141989288956554401020881802285605601219922224481830159283605999435426628088501<164>
prime factors 素因数
377615195627459685844070761301900113<36>
composite cofactor 合成数の残り
224756297883208346200115066963943086542080710869585000223303222278333552271685907226769952689410284784885960757388343036103024677<129>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.1] [ECM]
Input number is 84871393393671322937258255191798883101524162160557921462883479045334566885680280462257141989288956554401020881802285605601219922224481830159283605999435426628088501 (164 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3057201656
Step 1 took 16474ms
Step 2 took 5554ms
********** Factor found in step 2: 377615195627459685844070761301900113
Found probable prime factor of 36 digits: 377615195627459685844070761301900113
Composite cofactor 224756297883208346200115066963943086542080710869585000223303222278333552271685907226769952689410284784885960757388343036103024677 has 129 digits

c129

name 名前Erik Branger
date 日付July 2, 2013 09:45:45 UTC 2013 年 7 月 2 日 (火) 18 時 45 分 45 秒 (日本時間)
composite number 合成数
224756297883208346200115066963943086542080710869585000223303222278333552271685907226769952689410284784885960757388343036103024677<129>
prime factors 素因数
17355192881794859232830003440311206263739269<44>
12950377412340475338637817332604000552456801655822173689848447354313391996679671475233<86>
factorization results 素因数分解の結果
Number: 41111_228
N = 224756297883208346200115066963943086542080710869585000223303222278333552271685907226769952689410284784885960757388343036103024677 (129 digits)
Divisors found:
r1=17355192881794859232830003440311206263739269 (pp44)
r2=12950377412340475338637817332604000552456801655822173689848447354313391996679671475233 (pp86)
Version: Msieve v. 1.51 (SVN 845)
Total time: 71.18 hours.
Factorization parameters were as follows:
n: 224756297883208346200115066963943086542080710869585000223303222278333552271685907226769952689410284784885960757388343036103024677
Y0: -8508552158039199050671028
Y1: 16048228437239
c0: -187197942919971621158249523004545
c1: 1270564095119724735974668903
c2: 930131956291265861987
c3: -7556695610130143
c4: 18496582758
c5: 5040
skew: 615319.81 
type: gnfs
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19500295
Relations: 2589960 relations
Pruned matrix : 1432971 x 1433214
Polynomial selection time: 0.00 hours.
Total sieving time: 67.35 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.59 hours.
time per square root: 1.08 hours.
Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,6800000,6800000,28,28,55,55,2.5,2.5,100000
total time: 71.18 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
786KTakahashiJune 28, 2013 15:26:20 UTC 2013 年 6 月 29 日 (土) 0 時 26 分 20 秒 (日本時間)
403e62104KTakahashiJune 28, 2013 15:26:20 UTC 2013 年 6 月 29 日 (土) 0 時 26 分 20 秒 (日本時間)
4511e615 / 3974KTakahashiJune 28, 2013 15:52:04 UTC 2013 年 6 月 29 日 (土) 0 時 52 分 4 秒 (日本時間)

37×10229-19

c229

composite cofactor 合成数の残り
2418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6704118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
286KTakahashiJune 29, 2013 13:30:04 UTC 2013 年 6 月 29 日 (土) 22 時 30 分 4 秒 (日本時間)
300Ignacio SantosJuly 27, 2013 05:43:19 UTC 2013 年 7 月 27 日 (土) 14 時 43 分 19 秒 (日本時間)
403e61610110Ignacio SantosJuly 27, 2013 05:43:19 UTC 2013 年 7 月 27 日 (土) 14 時 43 分 19 秒 (日本時間)
1500Dmitry DomanovJuly 31, 2013 10:15:41 UTC 2013 年 7 月 31 日 (水) 19 時 15 分 41 秒 (日本時間)
4511e6409232Ignacio SantosJuly 27, 2013 05:43:19 UTC 2013 年 7 月 27 日 (土) 14 時 43 分 19 秒 (日本時間)
1500Dmitry DomanovAugust 7, 2013 06:01:46 UTC 2013 年 8 月 7 日 (水) 15 時 1 分 46 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:51 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 51 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:45 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 45 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:53 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 53 秒 (日本時間)
510KTakahashiMay 21, 2014 21:04:07 UTC 2014 年 5 月 22 日 (木) 6 時 4 分 7 秒 (日本時間)

37×10230-19

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)

37×10231-19

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)

37×10232-19

c158

composite cofactor 合成数の残り
20922912830819933415483880593242494916297918778407330801090704396528319672350396164106851597566710280420512172658431082809757721733641192287051363767404740353<158>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
786KTakahashiJune 28, 2013 15:12:37 UTC 2013 年 6 月 29 日 (土) 0 時 12 分 37 秒 (日本時間)
403e62104604KTakahashiJune 28, 2013 15:12:37 UTC 2013 年 6 月 29 日 (土) 0 時 12 分 37 秒 (日本時間)
1500Dmitry DomanovJuly 31, 2013 10:15:50 UTC 2013 年 7 月 31 日 (水) 19 時 15 分 50 秒 (日本時間)
4511e63974850Serge BatalovNovember 8, 2013 17:12:26 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 26 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:15 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 15 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:07 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 7 秒 (日本時間)
1824KTakahashiAugust 23, 2014 12:03:09 UTC 2014 年 8 月 23 日 (土) 21 時 3 分 9 秒 (日本時間)
5043e66000NFS@HomeMay 15, 2021 23:40:21 UTC 2021 年 5 月 16 日 (日) 8 時 40 分 21 秒 (日本時間)
5511e78000 / 15362yoyo@HomeJune 6, 2021 16:10:29 UTC 2021 年 6 月 7 日 (月) 1 時 10 分 29 秒 (日本時間)

37×10233-19

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)

37×10234-19

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)

37×10235-19

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)

37×10236-19

c154

name 名前KTakahashi
date 日付June 28, 2013 20:24:08 UTC 2013 年 6 月 29 日 (土) 5 時 24 分 8 秒 (日本時間)
composite number 合成数
1752867511550390629594584395636140098862966961179407628866511083950337362582604551571757024169260448154868639154797241871037487155924061010448466451564731<154>
prime factors 素因数
21197654170671306948746269911727<32>
82691579805827127401811269202443178640473912310044597397225848652414995696761144959872263342867339177432611318077599241653<122>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.1] [ECM]
Input number is 1752867511550390629594584395636140098862966961179407628866511083950337362582604551571757024169260448154868639154797241871037487155924061010448466451564731 (154 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2810040155
Step 1 took 13042ms
Step 2 took 4571ms
********** Factor found in step 2: 21197654170671306948746269911727
Found probable prime factor of 32 digits: 21197654170671306948746269911727
Probable prime cofactor 82691579805827127401811269202443178640473912310044597397225848652414995696761144959872263342867339177432611318077599241653 has 122 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)

37×10237-19

c212

name 名前KTakahashi
date 日付June 28, 2013 15:16:38 UTC 2013 年 6 月 29 日 (土) 0 時 16 分 38 秒 (日本時間)
composite number 合成数
14778895734625264469563683639314708479987134894804331196592701341497864650253311385471028656465518483831451512798850678216177990965061835721049323267011733793699947991718912089683799376915291571483212072353512359<212>
prime factors 素因数
21008105412740245452328532959<29>
703485414047031943321815677134788792400161187204721691058993047376297876855792859733405340180941586556368381512421759326208800605654556719572569738848729269202214096481460436620556601<183>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.1] [ECM]
Input number is 14778895734625264469563683639314708479987134894804331196592701341497864650253311385471028656465518483831451512798850678216177990965061835721049323267011733793699947991718912089683799376915291571483212072353512359 (212 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1978492993
Step 1 took 28080ms
Step 2 took 7832ms
********** Factor found in step 2: 21008105412740245452328532959
Found probable prime factor of 29 digits: 21008105412740245452328532959
Probable prime cofactor 703485414047031943321815677134788792400161187204721691058993047376297876855792859733405340180941586556368381512421759326208800605654556719572569738848729269202214096481460436620556601 has 183 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)

37×10238-19

c225

composite cofactor 合成数の残り
931504394182557398747938809661626269020365818831783388929051344638226413748032565595932168359428179420353685795084735565791224001255341170810633811424896435933457736090871792999968096429785866752758363262724489720927888601651<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
286KTakahashiJune 29, 2013 13:31:33 UTC 2013 年 6 月 29 日 (土) 22 時 31 分 33 秒 (日本時間)
403e61500Dmitry DomanovJuly 31, 2013 10:16:03 UTC 2013 年 7 月 31 日 (水) 19 時 16 分 3 秒 (日本時間)
4511e61500 / 4130Dmitry DomanovAugust 7, 2013 06:02:07 UTC 2013 年 8 月 7 日 (水) 15 時 2 分 7 秒 (日本時間)

37×10239-19

c202

composite cofactor 合成数の残り
1571226823859624026132962850786850575498354416736619945334728132678321918682465937244582191459615198011320794836463918586982235359464385772869985963105700500586890752093880637073095109066579059492170811<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
286KTakahashiJune 29, 2013 13:32:24 UTC 2013 年 6 月 29 日 (土) 22 時 32 分 24 秒 (日本時間)
403e61500Dmitry DomanovJuly 31, 2013 10:16:12 UTC 2013 年 7 月 31 日 (水) 19 時 16 分 12 秒 (日本時間)
4511e61500Dmitry DomanovAugust 7, 2013 06:02:21 UTC 2013 年 8 月 7 日 (水) 15 時 2 分 21 秒 (日本時間)
5043e6800 / 7158400Dmitry DomanovFebruary 28, 2014 18:48:09 UTC 2014 年 3 月 1 日 (土) 3 時 48 分 9 秒 (日本時間)
400Dmitry DomanovMay 30, 2014 13:07:40 UTC 2014 年 5 月 30 日 (金) 22 時 7 分 40 秒 (日本時間)

37×10240-19

c193

name 名前KTakahashi
date 日付June 28, 2013 15:20:53 UTC 2013 年 6 月 29 日 (土) 0 時 20 分 53 秒 (日本時間)
composite number 合成数
9374018775912493152062213856906390668711349729584405335060863138027961847503752359177630349370620870599520009755698125274444483419833812067157364315689661095429510847960738170094791734344922447<193>
prime factors 素因数
262959049998187115834304326972023<33>
35648207490775157664121748311222280815526102825714129189630884651278040305643552272554510344642020904295724744407695835763719887428191297055639939356036863078889<161>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.1] [ECM]
Input number is 9374018775912493152062213856906390668711349729584405335060863138027961847503752359177630349370620870599520009755698125274444483419833812067157364315689661095429510847960738170094791734344922447 (193 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2745409721
Step 1 took 26505ms
Step 2 took 7176ms
********** Factor found in step 2: 262959049998187115834304326972023
Found probable prime factor of 33 digits: 262959049998187115834304326972023
Probable prime cofactor 35648207490775157664121748311222280815526102825714129189630884651278040305643552272554510344642020904295724744407695835763719887428191297055639939356036863078889 has 161 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)

37×10241-19

c230

composite cofactor 合成数の残り
18245416008303018590315500449675665578675578986557119973385999025120526073081238930648582579412241656547864341628026464137305297171741403106568030581759534477037873716083486190846271147707367987698020428427855061278738413579686853<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
286KTakahashiJune 29, 2013 13:32:49 UTC 2013 年 6 月 29 日 (土) 22 時 32 分 49 秒 (日本時間)
403e61500Dmitry DomanovJuly 31, 2013 10:16:27 UTC 2013 年 7 月 31 日 (水) 19 時 16 分 27 秒 (日本時間)
4511e61500 / 2376Dmitry DomanovAugust 7, 2013 06:02:35 UTC 2013 年 8 月 7 日 (水) 15 時 2 分 35 秒 (日本時間)
5043e6500 / 7158Dmitry DomanovDecember 27, 2013 09:01:17 UTC 2013 年 12 月 27 日 (金) 18 時 1 分 17 秒 (日本時間)

37×10242-19

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)

37×10243-19

c201

name 名前KTakahashi
date 日付June 28, 2013 15:23:18 UTC 2013 年 6 月 29 日 (土) 0 時 23 分 18 秒 (日本時間)
composite number 合成数
137109909819613260568612588657216861496214396959757664017621109918318249194303588522956828718354340672535178687812307732492946208933941968636638107109245664432829406548658022092950835906755146213790521<201>
prime factors 素因数
1724985650086350343221607418249<31>
composite cofactor 合成数の残り
79484666908823115311237847746569316403055131432302499742841253788425758002985670180769792702395809881746543627522842306765039472145921565742733436293471865387529793863729<170>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.1] [ECM]
Input number is 137109909819613260568612588657216861496214396959757664017621109918318249194303588522956828718354340672535178687812307732492946208933941968636638107109245664432829406548658022092950835906755146213790521 (201 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2669454200
Step 1 took 26972ms
Step 2 took 7738ms
********** Factor found in step 2: 1724985650086350343221607418249
Found probable prime factor of 31 digits: 1724985650086350343221607418249
Composite cofactor 79484666908823115311237847746569316403055131432302499742841253788425758002985670180769792702395809881746543627522842306765039472145921565742733436293471865387529793863729 has 170 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
286KTakahashiJune 29, 2013 14:36:21 UTC 2013 年 6 月 29 日 (土) 23 時 36 分 21 秒 (日本時間)
403e61500Dmitry DomanovJuly 31, 2013 10:16:39 UTC 2013 年 7 月 31 日 (水) 19 時 16 分 39 秒 (日本時間)
4511e61500 / 4130Dmitry DomanovAugust 2, 2013 14:52:52 UTC 2013 年 8 月 2 日 (金) 23 時 52 分 52 秒 (日本時間)

37×10244-19

c198

composite cofactor 合成数の残り
141484688442991980941093242045973336108947400313426805284169053628506419977496737572571014839485041557777854580157390757783928876350408655827310923159842689847196608703833990163653416788833517113857<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
286KTakahashiJune 29, 2013 13:33:14 UTC 2013 年 6 月 29 日 (土) 22 時 33 分 14 秒 (日本時間)
403e61500Dmitry DomanovJuly 31, 2013 10:16:50 UTC 2013 年 7 月 31 日 (水) 19 時 16 分 50 秒 (日本時間)
4511e61500Dmitry DomanovAugust 7, 2013 06:02:50 UTC 2013 年 8 月 7 日 (水) 15 時 2 分 50 秒 (日本時間)
5043e6800 / 7158400Dmitry DomanovFebruary 28, 2014 18:47:06 UTC 2014 年 3 月 1 日 (土) 3 時 47 分 6 秒 (日本時間)
400Dmitry DomanovMay 30, 2014 13:07:23 UTC 2014 年 5 月 30 日 (金) 22 時 7 分 23 秒 (日本時間)

37×10245-19

c227

name 名前Dmitry Domanov
date 日付August 6, 2013 11:08:42 UTC 2013 年 8 月 6 日 (火) 20 時 8 分 42 秒 (日本時間)
composite number 合成数
75025972196783018406736110204743696290035495757339696836118330217157274374465678560720442252774895772872673919536115577422687711581380356324510458797436450398433806107074758052668775100213463001346097150036678024335452671035389<227>
prime factors 素因数
79607119146253803887815466078513827878553<41>
composite cofactor 合成数の残り
942453049443300101589934992224869240348326105281778665707432326674286285173696778151994144975021045034385341083166854464321898696992731321910448558626833980614977261533378384259184881413<186>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1175695415
Step 1 took 98570ms
Step 2 took 28408ms
********** Factor found in step 2: 79607119146253803887815466078513827878553
Found probable prime factor of 41 digits: 79607119146253803887815466078513827878553

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
286KTakahashiJune 29, 2013 13:33:42 UTC 2013 年 6 月 29 日 (土) 22 時 33 分 42 秒 (日本時間)
403e61500Dmitry DomanovJuly 31, 2013 10:17:01 UTC 2013 年 7 月 31 日 (水) 19 時 17 分 1 秒 (日本時間)
4511e61500 / 2376Dmitry DomanovAugust 5, 2013 15:49:24 UTC 2013 年 8 月 6 日 (火) 0 時 49 分 24 秒 (日本時間)
5043e6500 / 7158Dmitry DomanovSeptember 20, 2013 08:38:43 UTC 2013 年 9 月 20 日 (金) 17 時 38 分 43 秒 (日本時間)

37×10246-19

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)

37×10247-19

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)

37×10248-19

c198

name 名前Dmitry Domanov
date 日付August 8, 2013 05:20:28 UTC 2013 年 8 月 8 日 (木) 14 時 20 分 28 秒 (日本時間)
composite number 合成数
324773580892006823022205587321681184431055731248234197785201398244050892857334060029673029429916968274855037422246132319705956600697088490938633193916031658732683797981375964486408025279161654681293<198>
prime factors 素因数
1762478050304879751420355471430203959602381399059<49>
184270993239221520182591622392452653433211655478382067067706463301507422265725010943502775373745363893163846510169403625604165586703076153685756071327<150>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=732141998
Step 1 took 134475ms
Step 2 took 25728ms
********** Factor found in step 2: 1762478050304879751420355471430203959602381399059
Found probable prime factor of 49 digits: 1762478050304879751420355471430203959602381399059

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
286KTakahashiJune 29, 2013 13:35:01 UTC 2013 年 6 月 29 日 (土) 22 時 35 分 1 秒 (日本時間)
403e61500Dmitry DomanovJuly 31, 2013 10:17:13 UTC 2013 年 7 月 31 日 (水) 19 時 17 分 13 秒 (日本時間)
4511e61500 / 4130Dmitry DomanovAugust 7, 2013 06:03:05 UTC 2013 年 8 月 7 日 (水) 15 時 3 分 5 秒 (日本時間)

37×10249-19

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)

37×10250-19

c242

composite cofactor 合成数の残り
25157365246898581433308143651071024344073659645464215406130149570416438066193196336032941708961699970439953049848170904995336758365418695305010579592369938736661083641501827574510505938845737435978698057547263992170318633450957009301769829423<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJune 28, 2013 14:00:00 UTC 2013 年 6 月 28 日 (金) 23 時 0 分 0 秒 (日本時間)
286KTakahashiJune 29, 2013 13:35:30 UTC 2013 年 6 月 29 日 (土) 22 時 35 分 30 秒 (日本時間)
403e61500Dmitry DomanovJuly 31, 2013 10:17:24 UTC 2013 年 7 月 31 日 (水) 19 時 17 分 24 秒 (日本時間)
4511e61500Dmitry DomanovAugust 5, 2013 15:48:46 UTC 2013 年 8 月 6 日 (火) 0 時 48 分 46 秒 (日本時間)
5043e6750 / 7158Dmitry DomanovAugust 12, 2013 07:17:56 UTC 2013 年 8 月 12 日 (月) 16 時 17 分 56 秒 (日本時間)

37×10252-19

c240

composite cofactor 合成数の残り
191246457784834298510521466842164992112351541908810037621429049793092206562707401134245966473840416809688850629412132758722543320960574030218198666868663008471137697206856763333877190059015140711839090781527656465804569329887527117726657903<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 22, 2015 06:45:44 UTC 2015 年 10 月 22 日 (木) 15 時 45 分 44 秒 (日本時間)
4511e64585585CypMay 28, 2017 11:32:46 UTC 2017 年 5 月 28 日 (日) 20 時 32 分 46 秒 (日本時間)
4000ebinaFebruary 17, 2024 20:40:54 UTC 2024 年 2 月 18 日 (日) 5 時 40 分 54 秒 (日本時間)

37×10253-19

c177

composite cofactor 合成数の残り
680191744232838597367064147289853172124416643190226520261755313135994231450350409280654818755144541325703465567957683098672410733412999266178850816322207287560568596586995539777<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 11:49:10 UTC 2015 年 10 月 24 日 (土) 20 時 49 分 10 秒 (日本時間)
4511e64600600Dmitry DomanovMay 2, 2017 08:22:04 UTC 2017 年 5 月 2 日 (火) 17 時 22 分 4 秒 (日本時間)
4000ebinaFebruary 18, 2024 03:28:25 UTC 2024 年 2 月 18 日 (日) 12 時 28 分 25 秒 (日本時間)

37×10254-19

c194

composite cofactor 合成数の残り
66701456081461339252688880790954268565320892396200725988046840391764245851346226412407355220511098622774073052932433256741558736189548975427557687149792632786979743205628726549022427166615449849<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 11:49:23 UTC 2015 年 10 月 24 日 (土) 20 時 49 分 23 秒 (日本時間)
4511e64600600Dmitry DomanovMay 2, 2017 08:23:06 UTC 2017 年 5 月 2 日 (火) 17 時 23 分 6 秒 (日本時間)
4000ebinaMay 1, 2024 19:38:15 UTC 2024 年 5 月 2 日 (木) 4 時 38 分 15 秒 (日本時間)

37×10255-19

c256

name 名前Dmitry Domanov
date 日付February 5, 2016 06:30:48 UTC 2016 年 2 月 5 日 (金) 15 時 30 分 48 秒 (日本時間)
composite number 合成数
4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<256>
prime factors 素因数
125157263399817935179621146420228184513<39>
composite cofactor 合成数の残り
32847563133256327629107065289944493843071630933860879104359526779341575379246843896479198590090814527281173450791156179184119991778426494719589464204729666564595762582351343986474107250064927404306161909847504383303047<218>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3194810183
Step 1 took 202822ms
Step 2 took 57595ms
********** Factor found in step 2: 125157263399817935179621146420228184513
Found probable prime factor of 39 digits: 125157263399817935179621146420228184513

c218

name 名前ebina
date 日付October 3, 2024 13:35:32 UTC 2024 年 10 月 3 日 (木) 22 時 35 分 32 秒 (日本時間)
composite number 合成数
32847563133256327629107065289944493843071630933860879104359526779341575379246843896479198590090814527281173450791156179184119991778426494719589464204729666564595762582351343986474107250064927404306161909847504383303047<218>
prime factors 素因数
3324624778883502156286631706905771148369112781<46>
composite cofactor 合成数の残り
9880081307788188086887005976055195214187015868608042609588089150750715327527306282271305415262983316352093184349948985537277006897128054783533862507898227035888874970273187<172>
factorization results 素因数分解の結果
Y:\ALL\ECM>ecm-svn3038-skylake\ecm -primetest -one -sigma 1:1298330288 11e6      
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 32847563133256327629107065289944493843071630933860879104359526779341575379246843896479198590090814527281173450791156179184119991778426494719589464204729666564595762582351343986474107250064927404306161909847504383303047 (218 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1298330288
Step 1 took 26078ms
Step 2 took 10422ms
********** Factor found in step 2: 3324624778883502156286631706905771148369112781
Found prime factor of 46 digits: 3324624778883502156286631706905771148369112781
Composite cofactor 9880081307788188086887005976055195214187015868608042609588089150750715327527306282271305415262983316352093184349948985537277006897128054783533862507898227035888874970273187 has 172 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovOctober 4, 2015 22:32:55 UTC 2015 年 10 月 5 日 (月) 7 時 32 分 55 秒 (日本時間)
4511e64754800Dmitry DomanovFebruary 4, 2016 23:45:56 UTC 2016 年 2 月 5 日 (金) 8 時 45 分 56 秒 (日本時間)
3954ebinaOctober 3, 2024 13:35:05 UTC 2024 年 10 月 3 日 (木) 22 時 35 分 5 秒 (日本時間)

37×10256-19

c205

composite cofactor 合成数の残り
2970600548841869105662677368409538757949664356757476666739999302533047328967894764076054330506292249923933835893266367216844165364782083389344990471736201853575319361198274832688952776199573757104196973559<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 11:49:44 UTC 2015 年 10 月 24 日 (土) 20 時 49 分 44 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovMay 2, 2017 08:22:45 UTC 2017 年 5 月 2 日 (火) 17 時 22 分 45 秒 (日本時間)

37×10257-19

c243

name 名前Cyp
date 日付May 27, 2017 20:50:33 UTC 2017 年 5 月 28 日 (日) 5 時 50 分 33 秒 (日本時間)
composite number 合成数
200704194008443141075310238589682788283009384805287243246976838708407441060134984832620545580379519822216581855080478253716669236542814217333114030718602399804075436224230131116536186573540482316724295612774427646240851446769365853297551740029<243>
prime factors 素因数
980416606179819202500092542050069658539179<42>
composite cofactor 合成数の残り
204713172689398308315719113805814217380935326419606048528251794872594385632861469623458314152121578043015793566098615253076415848214644734187289713195850474368012412462857080759974602361192571567756151<201>
factorization results 素因数分解の結果
Run 249 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3694204911
Step 1 took 104386ms
Step 2 took 29744ms
********** Factor found in step 2: 980416606179819202500092542050069658539179
Found probable prime factor of 42 digits: 980416606179819202500092542050069658539179
Composite cofactor 204713172689398308315719113805814217380935326419606048528251794872594385632861469623458314152121578043015793566098615253076415848214644734187289713195850474368012412462857080759974602361192571567756151 has 201 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 22, 2015 06:46:02 UTC 2015 年 10 月 22 日 (木) 15 時 46 分 2 秒 (日本時間)
4511e6585 / 4409CypMay 27, 2017 20:50:33 UTC 2017 年 5 月 28 日 (日) 5 時 50 分 33 秒 (日本時間)

37×10260-19

c252

name 名前Cyp
date 日付May 28, 2017 09:26:24 UTC 2017 年 5 月 28 日 (日) 18 時 26 分 24 秒 (日本時間)
composite number 合成数
967597219635959072697283912945498866123944053603030273272528096191728797005971977873523405552642787184774945408106027767724769556712742728355936193866255875934500393292834802757721847567401971749582296583313351993100517166879870306950779685903815586761<252>
prime factors 素因数
11466094148880157101431292763593270133<38>
composite cofactor 合成数の残り
84387691839287751717101917403752248243717446307372624378553458426401986511918460203367253402392669121365281126675339960677913388042074415626678535248239574915274877921505721399042343938444757646684219017323321616517<215>
factorization results 素因数分解の結果
Run 493 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2813836592
Step 1 took 119387ms
Step 2 took 31681ms
********** Factor found in step 2: 11466094148880157101431292763593270133
Found probable prime factor of 38 digits: 11466094148880157101431292763593270133
Composite cofactor 84387691839287751717101917403752248243717446307372624378553458426401986511918460203367253402392669121365281126675339960677913388042074415626678535248239574915274877921505721399042343938444757646684219017323321616517 has 215 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 11:50:53 UTC 2015 年 10 月 24 日 (土) 20 時 50 分 53 秒 (日本時間)
4511e6585 / 4409CypMay 28, 2017 09:26:24 UTC 2017 年 5 月 28 日 (日) 18 時 26 分 24 秒 (日本時間)

37×10261-19

c253

composite cofactor 合成数の残り
3943904322004201581762498546256880907619518913786806971945503798197256491795516997448386958486879135193741242226686762419694285482955777867110621615451433724985299578968568718847552110325744282157013296717051160398601460359913965415632896195103393124429<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 11:51:10 UTC 2015 年 10 月 24 日 (土) 20 時 51 分 10 秒 (日本時間)
4511e6585 / 4409CypMay 28, 2017 07:39:57 UTC 2017 年 5 月 28 日 (日) 16 時 39 分 57 秒 (日本時間)

37×10262-19

c223

composite cofactor 合成数の残り
1849434976112355942006358435248974827496574292899118785067668937547138225969007237134961313845446414456740402784496262198710350627375085582631360792897129473582718441570244060267201673185264318199419632426212302925382390633<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 11:50:21 UTC 2015 年 10 月 24 日 (土) 20 時 50 分 21 秒 (日本時間)
4511e6585 / 4409CypMay 26, 2017 18:17:32 UTC 2017 年 5 月 27 日 (土) 3 時 17 分 32 秒 (日本時間)

37×10266-19

c241

composite cofactor 合成数の残り
1766463554225200542265680227952517187141716869607830634890719935414432755864336877933310982174877912356783703092938516204338112334373194628075503891003206155164909158843504987859303054031917395565302128701252727681066640241265039925544392999<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 11:51:30 UTC 2015 年 10 月 24 日 (土) 20 時 51 分 30 秒 (日本時間)
4511e6585 / 4409CypMay 26, 2017 22:02:45 UTC 2017 年 5 月 27 日 (土) 7 時 2 分 45 秒 (日本時間)

37×10267-19

c240

name 名前Dmitry Domanov
date 日付October 24, 2015 16:54:43 UTC 2015 年 10 月 25 日 (日) 1 時 54 分 43 秒 (日本時間)
composite number 合成数
352635462963192841542782922418189236632576771345647704169006839810037549977547815462034258565041887965851678951890608397023325659481946008332371858911084688165046597291034852546512206833802916799394941440954653253028965081459024443254993569<240>
prime factors 素因数
20399788944649977913185708860951251897<38>
17286230946799798088398093839053611679098386641010611964448168754992767023001067762686126464143944933930161981895209960565235027457019160854659867933762816649305023662711720039142107984140879727993217577<203>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3278268071
Step 1 took 29927ms
Step 2 took 10247ms
********** Factor found in step 2: 20399788944649977913185708860951251897
Found probable prime factor of 38 digits: 20399788944649977913185708860951251897

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovOctober 24, 2015 11:51:46 UTC 2015 年 10 月 24 日 (土) 20 時 51 分 46 秒 (日本時間)

37×10268-19

c243

composite cofactor 合成数の残り
265410274956733837451574595822553706057968137061686809626739408356309686608454532886804066370575066754289514387597176650894847401664870232012719572366340218715979865802107223423740829468466790903103569797441658326333162645338146583247145238021<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 11:52:02 UTC 2015 年 10 月 24 日 (土) 20 時 52 分 2 秒 (日本時間)
4511e6585 / 4409CypMay 26, 2017 17:32:22 UTC 2017 年 5 月 27 日 (土) 2 時 32 分 22 秒 (日本時間)

37×10269-19

c241

composite cofactor 合成数の残り
5400273757529575073946699844494055542765370359322603648667683103231709145074200967359148913425173093181059824377390848153829973362404365563605235474933079361328849018722521970622084860004432462870607335404238290491456450292415981909760624697<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 11:52:23 UTC 2015 年 10 月 24 日 (土) 20 時 52 分 23 秒 (日本時間)
4511e6585 / 4409CypMay 26, 2017 12:05:34 UTC 2017 年 5 月 26 日 (金) 21 時 5 分 34 秒 (日本時間)

37×10270-19

c248

composite cofactor 合成数の残り
64134829264368389038756836630696209569614685442771046076282809863043175930570264436180105422370809409967507333116176463276161723417049865262143322282766913111738705370447774271080295322810569983845054195587205219446983058455709900566502957977113457<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 11:52:45 UTC 2015 年 10 月 24 日 (土) 20 時 52 分 45 秒 (日本時間)
4511e6585 / 4409CypMay 26, 2017 11:48:20 UTC 2017 年 5 月 26 日 (金) 20 時 48 分 20 秒 (日本時間)

37×10272-19

c246

composite cofactor 合成数の残り
123062686503202691832276803559476565321045194182785657654663653621099742543877222802484464949687342052519757430043353467719810343863386754709448205477572697697764224236885425332874472693039392486344596584641210760330983031458221519648013307941847<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 11:53:07 UTC 2015 年 10 月 24 日 (土) 20 時 53 分 7 秒 (日本時間)
4511e6585 / 4409CypMay 26, 2017 09:16:18 UTC 2017 年 5 月 26 日 (金) 18 時 16 分 18 秒 (日本時間)

37×10273-19

c233

composite cofactor 合成数の残り
20328042202262110487526431843093280303408342719315156857936816035155228764998673462379963219451365423707796977472483443636839125062932341229456592317566947308623071160116796181830541255898717126965026814779021968312517508293380403399<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 11:53:23 UTC 2015 年 10 月 24 日 (土) 20 時 53 分 23 秒 (日本時間)
4511e6585 / 4409CypMay 25, 2017 22:04:22 UTC 2017 年 5 月 26 日 (金) 7 時 4 分 22 秒 (日本時間)

37×10274-19

c237

composite cofactor 合成数の残り
333245026476703751406568996219382856629054422829928826970060200066404568360332349095487114932195885438646931011982425712097886186661257931561825587232210606191598121481651045917085213600635806752494691055236555465241303071534449557292583<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 11:53:39 UTC 2015 年 10 月 24 日 (土) 20 時 53 分 39 秒 (日本時間)
4511e6585 / 4409CypMay 25, 2017 17:20:32 UTC 2017 年 5 月 26 日 (金) 2 時 20 分 32 秒 (日本時間)

37×10275-19

c251

name 名前KTakahashi
date 日付October 5, 2015 12:32:00 UTC 2015 年 10 月 5 日 (月) 21 時 32 分 0 秒 (日本時間)
composite number 合成数
81155141694288262049253519171074703563765454429708364195087264486395151900790379533842090228219860535726168866618122039073380661899638921580087174037903139596375704412397527841761742557893141482808176476144094368790577342404400062394695843150051897403<251>
prime factors 素因数
4410369182012320885619849340919<31>
2646664729187958689224141151450611<34>
6952518701957890119577366861284480381017679716056190057729313019840590280386471628195253164550157412119669497074837513344505307428400794862505787858914397591641889294821457138642832310767<187>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 81155141694288262049253519171074703563765454429708364195087264486395151900790379533842090228219860535726168866618122039073380661899638921580087174037903139596375704412397527841761742557893141482808176476144094368790577342404400062394695843150051897403 (251 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3079159409
Step 1 took 8658ms
Step 2 took 4305ms
********** Factor found in step 2: 4410369182012320885619849340919
Found probable prime factor of 31 digits: 4410369182012320885619849340919
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2191078996
Step 1 took 6536ms
Step 2 took 3370ms
********** Factor found in step 2: 2646664729187958689224141151450611
Found probable prime factor of 34 digits: 2646664729187958689224141151450611
Probable prime cofactor 6952518701957890119577366861284480381017679716056190057729313019840590280386471628195253164550157412119669497074837513344505307428400794862505787858914397591641889294821457138642832310767 has 187 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)

37×10276-19

c259

name 名前KTakahashi
date 日付October 5, 2015 12:35:21 UTC 2015 年 10 月 5 日 (月) 21 時 35 分 21 秒 (日本時間)
composite number 合成数
3032974901336837752040473609733909497456448556592440882869768135941837874878918060708419840368106018524056107106693445966385547684322965842217433085635657947871693534060743400308396878343966805125120367986580004350797893569835653356785040406444788236994117103<259>
prime factors 素因数
1444571324630307430216486984021<31>
composite cofactor 合成数の残り
2099567428498577064109918411652935506421975551975399885485200623223513273219583332074179042174191956378859163664947042120300723685715120677160452155847064354357382648906253533486435539604108823127752021718853423955604176317000243<229>
factorization results 素因数分解の結果
Input number is 3032974901336837752040473609733909497456448556592440882869768135941837874878918060708419840368106018524056107106693445966385547684322965842217433085635657947871693534060743400308396878343966805125120367986580004350797893569835653356785040406444788236994117103 (259 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2797591023
Step 1 took 9017ms
********** Factor found in step 1: 1444571324630307430216486984021
Found probable prime factor of 31 digits: 1444571324630307430216486984021
Composite cofactor 2099567428498577064109918411652935506421975551975399885485200623223513273219583332074179042174191956378859163664947042120300723685715120677160452155847064354357382648906253533486435539604108823127752021718853423955604176317000243 has 229 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 11:54:00 UTC 2015 年 10 月 24 日 (土) 20 時 54 分 0 秒 (日本時間)
4511e6585 / 4409CypMay 25, 2017 10:07:20 UTC 2017 年 5 月 25 日 (木) 19 時 7 分 20 秒 (日本時間)

37×10277-19

c271

name 名前Dmitry Domanov
date 日付October 6, 2015 15:06:30 UTC 2015 年 10 月 7 日 (水) 0 時 6 分 30 秒 (日本時間)
composite number 合成数
2221471604978831807215362588085026573513517735769989886720498447314429654667015545780239936825190099880905706461622676095288619564876274028224901473081236772975310402474877872947422528264158478727599183168493235669996646598552624792083016225766694243534852689024433479861<271>
prime factors 素因数
24719346391129972833386288388478566764695537<44>
89867732335186703578474798886401450272254054742322557058336945402049945818913981222244559495527897941352698889546311210630751424194575521498523209342567797229716430994190839278384500101214865407104395253313272475192876012757253<227>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1145480579
Step 1 took 43212ms
Step 2 took 12749ms
********** Factor found in step 2: 24719346391129972833386288388478566764695537
Found probable prime factor of 44 digits: 24719346391129972833386288388478566764695537

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
286KTakahashiOctober 5, 2015 09:53:55 UTC 2015 年 10 月 5 日 (月) 18 時 53 分 55 秒 (日本時間)
403e6600 / 2240Dmitry DomanovOctober 6, 2015 08:01:27 UTC 2015 年 10 月 6 日 (火) 17 時 1 分 27 秒 (日本時間)

37×10278-19

c225

composite cofactor 合成数の残り
322709365844823807249148597169345463128925029394572208520311018749531830600626275880482532487012585437137299948284558536542506764290603991708272691933084849640705755721693465007539537180528672983146468388850517297066580437417<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 11:54:17 UTC 2015 年 10 月 24 日 (土) 20 時 54 分 17 秒 (日本時間)
4511e6585 / 4409CypMay 24, 2017 18:11:20 UTC 2017 年 5 月 25 日 (木) 3 時 11 分 20 秒 (日本時間)

37×10279-19

c268

composite cofactor 合成数の残り
1602938351891456672206191502937954764913971082871429147253829299117164697759648096259264407282915801034176346876784779515157553437032903222712064204687373018004468587744537142973585766591270296794472784896275410597318101153268844667197117519361237730127975872559295829<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 16:58:49 UTC 2015 年 10 月 25 日 (日) 1 時 58 分 49 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovMarch 7, 2017 19:51:06 UTC 2017 年 3 月 8 日 (水) 4 時 51 分 6 秒 (日本時間)

37×10280-19

c249

composite cofactor 合成数の残り
167540791945127515772455192419663202733384869355591000403002574875754070245106504608220938586704520284928921797671167886728346133569378499868266990021462762796570105882075896915376539315340658660250050808082950957587856745322981511061788740380173307<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 11:54:59 UTC 2015 年 10 月 24 日 (土) 20 時 54 分 59 秒 (日本時間)
4511e6585 / 4409CypMay 25, 2017 08:50:17 UTC 2017 年 5 月 25 日 (木) 17 時 50 分 17 秒 (日本時間)

37×10281-19

c264

composite cofactor 合成数の残り
603510388243515531730245446403783601433531414075286050722300501418596403771847958160930324151955245112266278885806976247287657917938038942697343161054891836726731077691011868090542957716637221012554765883441092099429780129107499337994874786225700450212167205274087<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 16:59:05 UTC 2015 年 10 月 25 日 (日) 1 時 59 分 5 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovMarch 7, 2017 19:50:53 UTC 2017 年 3 月 8 日 (水) 4 時 50 分 53 秒 (日本時間)

37×10282-19

c270

composite cofactor 合成数の残り
523596214667959059427091139913855113772212389414744052533573195666290230214201645703401167619755193981193839828283126535856358323160331639833581091788704756741706678600515994601993239269963277569608530520277119103378247344252827282765319623149411034689384570930036076779<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 16:59:17 UTC 2015 年 10 月 25 日 (日) 1 時 59 分 17 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovMarch 7, 2017 19:50:41 UTC 2017 年 3 月 8 日 (水) 4 時 50 分 41 秒 (日本時間)

37×10283-19

c203

name 名前KTakahashi
date 日付October 5, 2015 12:36:31 UTC 2015 年 10 月 5 日 (月) 21 時 36 分 31 秒 (日本時間)
composite number 合成数
53377346386606677530356784620649491114330984209833978919246196744501083482753079080517188075774767354944677491858136676792042617162051791496137649141252938669991052243665189660691993259619667104494766569<203>
prime factors 素因数
14121158863011536356056273251041<32>
composite cofactor 合成数の残り
3779955094650298788477568217862367236051240083543785269540460742940902323437747458068411103334991391864692523495951290969941346451361674258964524929326436523014611826739209<172>
factorization results 素因数分解の結果
Input number is 53377346386606677530356784620649491114330984209833978919246196744501083482753079080517188075774767354944677491858136676792042617162051791496137649141252938669991052243665189660691993259619667104494766569 (203 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3522796143
Step 1 took 6319ms
********** Factor found in step 1: 14121158863011536356056273251041
Found probable prime factor of 32 digits: 14121158863011536356056273251041
Composite cofactor 3779955094650298788477568217862367236051240083543785269540460742940902323437747458068411103334991391864692523495951290969941346451361674258964524929326436523014611826739209 has 172 digits
software ソフトウェア
GMP-ECM 6.4.4

c172

name 名前Erik Branger
date 日付October 26, 2015 16:07:54 UTC 2015 年 10 月 27 日 (火) 1 時 7 分 54 秒 (日本時間)
composite number 合成数
3779955094650298788477568217862367236051240083543785269540460742940902323437747458068411103334991391864692523495951290969941346451361674258964524929326436523014611826739209<172>
prime factors 素因数
4386517621286944907241816767193615255180851<43>
861721169500582358979862342376332568835227490935470830570645286399755385339983335169904333355689706056575119580611400624419919059<129>
factorization results 素因数分解の結果
Mon 2015/10/26 14:13:49 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Mon 2015/10/26 14:13:49 UTC Input number is 3779955094650298788477568217862367236051240083543785269540460742940902323437747458068411103334991391864692523495951290969941346451361674258964524929326436523014611826739209 (172 digits)
Mon 2015/10/26 14:13:49 UTC Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:320472606
Mon 2015/10/26 14:13:49 UTC Step 1 took 119422ms
Mon 2015/10/26 14:13:49 UTC Step 2 took 53312ms
Mon 2015/10/26 14:13:49 UTC ********** Factor found in step 2: 4386517621286944907241816767193615255180851
Mon 2015/10/26 14:13:49 UTC Found probable prime factor of 43 digits: 4386517621286944907241816767193615255180851
Mon 2015/10/26 14:13:49 UTC Probable prime cofactor 861721169500582358979862342376332568835227490935470830570645286399755385339983335169904333355689706056575119580611400624419919059 has 129 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318Dmitry DomanovOctober 7, 2015 06:21:50 UTC 2015 年 10 月 7 日 (水) 15 時 21 分 50 秒 (日本時間)

37×10285-19

c245

composite cofactor 合成数の残り
90175747354116919359232247443515184676010295364883781815955238370109422577210155117836821792976122290357204820920632904320177441569296434877940000558865762337451472275244292117655082637870514699767032585532657864164791992978773306636782779150523<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 16:59:36 UTC 2015 年 10 月 25 日 (日) 1 時 59 分 36 秒 (日本時間)
4511e6585 / 4409CypMay 24, 2017 12:10:58 UTC 2017 年 5 月 24 日 (水) 21 時 10 分 58 秒 (日本時間)

37×10287-19

c219

composite cofactor 合成数の残り
108447978915973516794870809865562202489736505453555894963419205454248490760225135796826135363376792574215460216845742295195418017439157317921424004353632350428108521285313825420319241277116428507610393549667094271394751<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 11:55:34 UTC 2015 年 10 月 24 日 (土) 20 時 55 分 34 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovMay 2, 2017 10:24:31 UTC 2017 年 5 月 2 日 (火) 19 時 24 分 31 秒 (日本時間)

37×10288-19

c261

name 名前KTakahashi
date 日付October 5, 2015 12:38:25 UTC 2015 年 10 月 5 日 (月) 21 時 38 分 25 秒 (日本時間)
composite number 合成数
518812329407915466144722984114142038965222068262504045286365767356062303060974181582374411334018811393214127313455814373070533038399271022083754253093736032190609620907137940283532379669987829068676069464789806979035826656978996143223655633211135500380621432857<261>
prime factors 素因数
1030420637489972539854271005391<31>
composite cofactor 合成数の残り
503495670148555471755761234902176294086876754475095487662094374041807809637520992265248673665466348721489382212849697603168817637422616437774687804930274206277412617699981205625364865164996357454558047658084541897197094683688370327<231>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 518812329407915466144722984114142038965222068262504045286365767356062303060974181582374411334018811393214127313455814373070533038399271022083754253093736032190609620907137940283532379669987829068676069464789806979035826656978996143223655633211135500380621432857 (261 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3770169444
Step 1 took 7987ms
Step 2 took 1061ms
********** Factor found in step 2: 1030420637489972539854271005391
Found probable prime factor of 31 digits: 1030420637489972539854271005391
Composite cofactor 503495670148555471755761234902176294086876754475095487662094374041807809637520992265248673665466348721489382212849697603168817637422616437774687804930274206277412617699981205625364865164996357454558047658084541897197094683688370327 has 231 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 16:59:54 UTC 2015 年 10 月 25 日 (日) 1 時 59 分 54 秒 (日本時間)
4511e6585 / 4409CypMay 24, 2017 09:07:13 UTC 2017 年 5 月 24 日 (水) 18 時 7 分 13 秒 (日本時間)

37×10290-19

c284

name 名前Dmitry
date 日付January 1, 2016 12:31:40 UTC 2016 年 1 月 1 日 (金) 21 時 31 分 40 秒 (日本時間)
composite number 合成数
86074377707257272755675157066547055850337035857585428994349542790353128044081433898634951096609672168517626369225255460029280642228382821331529214376589220896374382041218507042710269061758342741611766916447531769529386478817944758348394604681203884634371978891119611072226429398224481<284>
prime factors 素因数
9848446951072979679785134926534837937<37>
composite cofactor 合成数の残り
8739893521778024564910876338882180176301770365127602669926957297839368469650532374276829842933733328916371714368290894830327644971464176254536110374401361027494609166601674802708782528978271063357913484038787875158106864029294338760163653251124913<247>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=10023762
Step 1 took 128675ms
Step 2 took 40674ms
********** Factor found in step 2: 9848446951072979679785134926534837937
Found probable prime factor of 37 digits: 9848446951072979679785134926534837937

c247

name 名前Dmitry Domanov
date 日付January 1, 2016 14:19:02 UTC 2016 年 1 月 1 日 (金) 23 時 19 分 2 秒 (日本時間)
composite number 合成数
8739893521778024564910876338882180176301770365127602669926957297839368469650532374276829842933733328916371714368290894830327644971464176254536110374401361027494609166601674802708782528978271063357913484038787875158106864029294338760163653251124913<247>
prime factors 素因数
1845204737021581388031766375145159074123<40>
composite cofactor 合成数の残り
4736544051954600726670521823491752730029603423382288758971516368450535432133909811060942644915098412368864217930585812836635210157486755488157598470829437176008619592907845512660313384607479987318096417967731<208>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3788409874
Step 1 took 91690ms
Step 2 took 27802ms
********** Factor found in step 2: 1845204737021581388031766375145159074123
Found probable prime factor of 40 digits: 1845204737021581388031766375145159074123

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovOctober 4, 2015 22:31:03 UTC 2015 年 10 月 5 日 (月) 7 時 31 分 3 秒 (日本時間)
4511e6800 / 4342Dmitry DomanovDecember 31, 2015 00:27:56 UTC 2015 年 12 月 31 日 (木) 9 時 27 分 56 秒 (日本時間)

37×10291-19

c250

composite cofactor 合成数の残り
7914950323429472836377662720773351573573627282513376710975839559404442135392470157675711510218231942511929542100355159775857030016633574288205127673624334936042350712392474448031214613532800858029017455333888541432932083796173376978521059005915939919<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 17:00:15 UTC 2015 年 10 月 25 日 (日) 2 時 0 分 15 秒 (日本時間)
4511e6585 / 4409CypMay 24, 2017 11:45:11 UTC 2017 年 5 月 24 日 (水) 20 時 45 分 11 秒 (日本時間)

37×10292-19

c289

composite cofactor 合成数の残り
5535358975509776640785123348742575886779468306329757790643747288422123483386442858638900109211136543841539129003784988704875604027347665424951004592851906706760618164953697470191343895396675792528761426028155528626782161183669194979279804915997187439223254491869006477866044312792663405293<289>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovOctober 4, 2015 22:29:59 UTC 2015 年 10 月 5 日 (月) 7 時 29 分 59 秒 (日本時間)
4511e6800 / 4342Dmitry DomanovDecember 31, 2015 00:26:03 UTC 2015 年 12 月 31 日 (木) 9 時 26 分 3 秒 (日本時間)

37×10294-19

c219

composite cofactor 合成数の残り
684959795677351146205264390678366337873688881396922055188594591425470142862987493657922703903720306016524279512178336985304863022000116118454422625143522254590860369485570988649859130704444548224972107868645213318068219<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 11:55:55 UTC 2015 年 10 月 24 日 (土) 20 時 55 分 55 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovMay 2, 2017 12:14:26 UTC 2017 年 5 月 2 日 (火) 21 時 14 分 26 秒 (日本時間)

37×10295-19

c289

name 名前Dmitry Domanov
date 日付October 5, 2015 06:02:43 UTC 2015 年 10 月 5 日 (月) 15 時 2 分 43 秒 (日本時間)
composite number 合成数
9738570188915364639572753659945500329176832615324345580585523373265945586081235415010616225926616399325806681959380318460194133922237832887030453851324196817345772698560694599044246193475858097661908796079262170126662212718430536239627995041330623484056657737977031029479783741625520549607<289>
prime factors 素因数
1164020793555747273560752303652591<34>
8366319779534904951099817626358452104617173847923319613632585684320866877110334491037448242388943915187961628396964084920442243932584766123560925969482593601520263543958822701573207660332999959630140225797812716998469123908299670674089189996701475760951177<256>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3471803101
Step 1 took 38654ms
Step 2 took 12036ms
********** Factor found in step 2: 1164020793555747273560752303652591
Found probable prime factor of 34 digits: 1164020793555747273560752303652591

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318Dmitry DomanovOctober 4, 2015 22:24:20 UTC 2015 年 10 月 5 日 (月) 7 時 24 分 20 秒 (日本時間)

37×10296-19

c264

composite cofactor 合成数の残り
594542555818492031241981993636338164785810776229811501091722099544181131019380007690583975427724087908329440454840854937251640965005479078364289892947273634748224674241827486407676012524869246754642194566349757914711008994692162793146382916582630950879658409227033<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 17:00:37 UTC 2015 年 10 月 25 日 (日) 2 時 0 分 37 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovMarch 7, 2017 19:50:16 UTC 2017 年 3 月 8 日 (水) 4 時 50 分 16 秒 (日本時間)

37×10297-19

c261

name 名前Dmitry Domanov
date 日付March 9, 2017 05:52:30 UTC 2017 年 3 月 9 日 (木) 14 時 52 分 30 秒 (日本時間)
composite number 合成数
106946733122317565050732197812542772285117469505102722911283666379630871731312889562264367001390102205774413312363032090545716566331614311061244422543309793206279674468839572859524357012514958031887353651596179566065897032784177121795264014160364612057768772619<261>
prime factors 素因数
1904529046492030107756756088926670571191<40>
composite cofactor 合成数の残り
56153899736684906254944586452856520017554609155757870011467807555023296690885738074828202789026126343739469994644867080474271128448341579693051779604683763492451234535055701030816856395357669008101954664981547452219160909<221>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3265939748
Step 1 took 175658ms
Step 2 took 43067ms
********** Factor found in step 2: 1904529046492030107756756088926670571191
Found probable prime factor of 40 digits: 1904529046492030107756756088926670571191

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 17:00:49 UTC 2015 年 10 月 25 日 (日) 2 時 0 分 49 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovMarch 7, 2017 19:50:03 UTC 2017 年 3 月 8 日 (水) 4 時 50 分 3 秒 (日本時間)

37×10298-19

c286

composite cofactor 合成数の残り
5991155999722504322450587796057347256606285955111732519772052010323893527058995414664367511611671409878090323071050818408252236620517818402897395033100511825050033387463828733558743478150825140277937458372816141087891536345287656640639007135117893753356311023879846120477819463836016059<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovOctober 24, 2015 17:01:00 UTC 2015 年 10 月 25 日 (日) 2 時 1 分 0 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovMarch 7, 2017 19:49:51 UTC 2017 年 3 月 8 日 (水) 4 時 49 分 51 秒 (日本時間)

37×10300-19

c277

name 名前KTakahashi
date 日付October 4, 2015 14:52:44 UTC 2015 年 10 月 4 日 (日) 23 時 52 分 44 秒 (日本時間)
composite number 合成数
3863321734549571673109386164267645899013061651585533174063027912358086860198047792363813576089571228639944054879817757454662329411298370809336995439790177839570888569237583728194184649710240717394843912878538436677700763252048325285082218489294879297771544415210918357984265823<277>
prime factors 素因数
5511561420095635845893297<25>
700948685877574027399242780707120726845918934725267147256030814448628598439867232543030357904814738011587518191229496330180446343128374216244069589115803814435005831222595456066229766548176397640373474802528642022539961917878033671262117908295138002959<252>
factorization results 素因数分解の結果
Input number is 3863321734549571673109386164267645899013061651585533174063027912358086860198047792363813576089571228639944054879817757454662329411298370809336995439790177839570888569237583728194184649710240717394843912878538436677700763252048325285082218489294879297771544415210918357984265823 (277 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1072024019
Step 1 took 9891ms
Step 2 took 4851ms
********** Factor found in step 2: 5511561420095635845893297
Found probable prime factor of 25 digits: 5511561420095635845893297
Probable prime cofactor 700948685877574027399242780707120726845918934725267147256030814448628598439867232543030357904814738011587518191229496330180446343128374216244069589115803814435005831222595456066229766548176397640373474802528642022539961917878033671262117908295138002959 has 252 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6404 / 904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
286KTakahashiOctober 4, 2015 14:51:39 UTC 2015 年 10 月 4 日 (日) 23 時 51 分 39 秒 (日本時間)