Table of contents 目次

16×10103+119

c95

name 名前Sinkiti Sibata
date 日付April 27, 2008 16:24:54 UTC 2008 年 4 月 28 日 (月) 1 時 24 分 54 秒 (日本時間)
composite number 合成数
51847805411481765012285536782252654602695323913086773291749786111357201858764951982326454509679<95>
prime factors 素因数
331329502808201944657710910493<30>
156484119198691203682352050843360865193448277522438180479674417403<66>
factorization results 素因数分解の結果
Sun Apr 27 17:53:55 2008  Msieve v. 1.33
Sun Apr 27 17:53:55 2008  random seeds: cc72b41b e55fc60c
Sun Apr 27 17:53:55 2008  factoring 51847805411481765012285536782252654602695323913086773291749786111357201858764951982326454509679 (95 digits)
Sun Apr 27 17:53:56 2008  searching for 15-digit factors
Sun Apr 27 17:53:58 2008  commencing quadratic sieve (95-digit input)
Sun Apr 27 17:53:59 2008  using multiplier of 1
Sun Apr 27 17:53:59 2008  using 64kb Pentium 4 sieve core
Sun Apr 27 17:53:59 2008  sieve interval: 18 blocks of size 65536
Sun Apr 27 17:53:59 2008  processing polynomials in batches of 6
Sun Apr 27 17:53:59 2008  using a sieve bound of 2160127 (80000 primes)
Sun Apr 27 17:53:59 2008  using large prime bound of 324019050 (28 bits)
Sun Apr 27 17:53:59 2008  using double large prime bound of 2084620300746750 (43-51 bits)
Sun Apr 27 17:53:59 2008  using trial factoring cutoff of 51 bits
Sun Apr 27 17:53:59 2008  polynomial 'A' values have 12 factors
Sun Apr 27 23:42:43 2008  80276 relations (20458 full + 59818 combined from 1185745 partial), need 80096
Sun Apr 27 23:42:47 2008  begin with 1206203 relations
Sun Apr 27 23:42:49 2008  reduce to 206482 relations in 12 passes
Sun Apr 27 23:42:49 2008  attempting to read 206482 relations
Sun Apr 27 23:42:55 2008  recovered 206482 relations
Sun Apr 27 23:42:55 2008  recovered 188456 polynomials
Sun Apr 27 23:42:56 2008  attempting to build 80276 cycles
Sun Apr 27 23:42:56 2008  found 80276 cycles in 7 passes
Sun Apr 27 23:42:56 2008  distribution of cycle lengths:
Sun Apr 27 23:42:56 2008     length 1 : 20458
Sun Apr 27 23:42:56 2008     length 2 : 14410
Sun Apr 27 23:42:56 2008     length 3 : 13520
Sun Apr 27 23:42:56 2008     length 4 : 10770
Sun Apr 27 23:42:56 2008     length 5 : 7925
Sun Apr 27 23:42:56 2008     length 6 : 5271
Sun Apr 27 23:42:56 2008     length 7 : 3408
Sun Apr 27 23:42:56 2008     length 9+: 4514
Sun Apr 27 23:42:56 2008  largest cycle: 24 relations
Sun Apr 27 23:42:56 2008  matrix is 80000 x 80276 (21.4 MB) with weight 5291532 (65.92/col)
Sun Apr 27 23:42:56 2008  sparse part has weight 5291532 (65.92/col)
Sun Apr 27 23:42:58 2008  filtering completed in 3 passes
Sun Apr 27 23:42:58 2008  matrix is 75601 x 75665 (20.3 MB) with weight 5013453 (66.26/col)
Sun Apr 27 23:42:58 2008  sparse part has weight 5013453 (66.26/col)
Sun Apr 27 23:42:58 2008  saving the first 48 matrix rows for later
Sun Apr 27 23:42:59 2008  matrix is 75553 x 75665 (13.5 MB) with weight 4044903 (53.46/col)
Sun Apr 27 23:42:59 2008  sparse part has weight 3073075 (40.61/col)
Sun Apr 27 23:42:59 2008  matrix includes 64 packed rows
Sun Apr 27 23:42:59 2008  using block size 21845 for processor cache size 512 kB
Sun Apr 27 23:43:00 2008  commencing Lanczos iteration
Sun Apr 27 23:43:00 2008  memory use: 12.5 MB
Sun Apr 27 23:43:59 2008  lanczos halted after 1196 iterations (dim = 75553)
Sun Apr 27 23:43:59 2008  recovered 18 nontrivial dependencies
Sun Apr 27 23:44:00 2008  prp30 factor: 331329502808201944657710910493
Sun Apr 27 23:44:00 2008  prp66 factor: 156484119198691203682352050843360865193448277522438180479674417403
Sun Apr 27 23:44:00 2008  elapsed time 05:50:05
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

16×10108+119

c89

name 名前Justin Card
date 日付April 29, 2008 04:09:04 UTC 2008 年 4 月 29 日 (火) 13 時 9 分 4 秒 (日本時間)
composite number 合成数
24595878135367791087706078241140290995475829227525763189262553146307598541431528166757893<89>
prime factors 素因数
263637240968512413080732461825073633921<39>
93294399702451015285120102344332879893080173318533<50>
factorization results 素因数分解の結果
Number: 17779_108
N=24595878135367791087706078241140290995475829227525763189262553146307598541431528166757893
  ( 89 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=263637240968512413080732461825073633921 (pp39)
 r2=93294399702451015285120102344332879893080173318533 (pp50)
Version: GGNFS-0.77.1-20060722-k8
Total time: 1.32 hours.
Scaled time: 2.66 units (timescale=2.016).
Factorization parameters were as follows:
n: 24595878135367791087706078241140290995475829227525763189262553146307598541431528166757893
m: 2000000000000000000000
c5: 500
c0: 11
skew: 0.47
type: snfs

Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 500001)
Primes: RFBsize:49098, AFBsize:63914, largePrimes:2364436 encountered
Relations: rels:2857998, finalFF:623070
Max relations in full relation-set: 32
Initial matrix: 113078 x 623070 with sparse part having weight 46023530.
Pruned matrix : 55805 x 56434 with weight 4401643.
Total sieving time: 1.22 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,109,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.32 hours.
 --------- CPU info (if available) ----------
Memory: 2783488k/2936036k available (1999k kernel code, 143628k reserved, 892k data, 148k init)
Calibrating delay using timer specific routine.. 4975.48 BogoMIPS (lpj=9950968)
execution environment 実行環境
One core of a Athlon 64X2 3800+

16×10111+119

c101

name 名前Sinkiti Sibata
date 日付April 28, 2008 10:37:40 UTC 2008 年 4 月 28 日 (月) 19 時 37 分 40 秒 (日本時間)
composite number 合成数
11608471913290175427106165301392768225200713865227417729953035601937285096499113827092370346514700849<101>
prime factors 素因数
311891772685877294689988053111<30>
37219551555730460553756515602487763210155431764457159024923543299294359<71>
factorization results 素因数分解の結果
Mon Apr 28 01:26:31 2008  Msieve v. 1.33
Mon Apr 28 01:26:31 2008  random seeds: 780f0fe4 d2f66e36
Mon Apr 28 01:26:31 2008  factoring 11608471913290175427106165301392768225200713865227417729953035601937285096499113827092370346514700849 (101 digits)
Mon Apr 28 01:26:33 2008  searching for 15-digit factors
Mon Apr 28 01:26:35 2008  commencing quadratic sieve (101-digit input)
Mon Apr 28 01:26:35 2008  using multiplier of 1
Mon Apr 28 01:26:35 2008  using 64kb Pentium 4 sieve core
Mon Apr 28 01:26:35 2008  sieve interval: 18 blocks of size 65536
Mon Apr 28 01:26:35 2008  processing polynomials in batches of 6
Mon Apr 28 01:26:35 2008  using a sieve bound of 2825047 (102495 primes)
Mon Apr 28 01:26:35 2008  using large prime bound of 423757050 (28 bits)
Mon Apr 28 01:26:35 2008  using double large prime bound of 3379173047684850 (43-52 bits)
Mon Apr 28 01:26:35 2008  using trial factoring cutoff of 52 bits
Mon Apr 28 01:26:35 2008  polynomial 'A' values have 13 factors
Mon Apr 28 19:30:31 2008  102795 relations (24275 full + 78520 combined from 1544216 partial), need 102591
Mon Apr 28 19:30:38 2008  begin with 1568491 relations
Mon Apr 28 19:30:40 2008  reduce to 271830 relations in 12 passes
Mon Apr 28 19:30:40 2008  attempting to read 271830 relations
Mon Apr 28 19:30:50 2008  recovered 271830 relations
Mon Apr 28 19:30:50 2008  recovered 261688 polynomials
Mon Apr 28 19:30:50 2008  attempting to build 102795 cycles
Mon Apr 28 19:30:51 2008  found 102795 cycles in 6 passes
Mon Apr 28 19:30:51 2008  distribution of cycle lengths:
Mon Apr 28 19:30:51 2008     length 1 : 24275
Mon Apr 28 19:30:51 2008     length 2 : 17638
Mon Apr 28 19:30:51 2008     length 3 : 16976
Mon Apr 28 19:30:51 2008     length 4 : 14225
Mon Apr 28 19:30:51 2008     length 5 : 10704
Mon Apr 28 19:30:51 2008     length 6 : 7374
Mon Apr 28 19:30:51 2008     length 7 : 4841
Mon Apr 28 19:30:51 2008     length 9+: 6762
Mon Apr 28 19:30:51 2008  largest cycle: 19 relations
Mon Apr 28 19:30:51 2008  matrix is 102495 x 102795 (27.4 MB) with weight 6780827 (65.96/col)
Mon Apr 28 19:30:51 2008  sparse part has weight 6780827 (65.96/col)
Mon Apr 28 19:30:53 2008  filtering completed in 3 passes
Mon Apr 28 19:30:53 2008  matrix is 98309 x 98373 (26.4 MB) with weight 6514221 (66.22/col)
Mon Apr 28 19:30:53 2008  sparse part has weight 6514221 (66.22/col)
Mon Apr 28 19:30:54 2008  saving the first 48 matrix rows for later
Mon Apr 28 19:30:54 2008  matrix is 98261 x 98373 (15.4 MB) with weight 4981754 (50.64/col)
Mon Apr 28 19:30:54 2008  sparse part has weight 3455551 (35.13/col)
Mon Apr 28 19:30:54 2008  matrix includes 64 packed rows
Mon Apr 28 19:30:54 2008  using block size 21845 for processor cache size 512 kB
Mon Apr 28 19:30:55 2008  commencing Lanczos iteration
Mon Apr 28 19:30:55 2008  memory use: 15.7 MB
Mon Apr 28 19:32:32 2008  lanczos halted after 1556 iterations (dim = 98261)
Mon Apr 28 19:32:33 2008  recovered 17 nontrivial dependencies
Mon Apr 28 19:32:34 2008  prp30 factor: 311891772685877294689988053111
Mon Apr 28 19:32:34 2008  prp71 factor: 37219551555730460553756515602487763210155431764457159024923543299294359
Mon Apr 28 19:32:34 2008  elapsed time 18:06:03
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

16×10115+119

c96

name 名前Robert Backstrom
date 日付April 27, 2008 02:36:26 UTC 2008 年 4 月 27 日 (日) 11 時 36 分 26 秒 (日本時間)
composite number 合成数
139464902314266031506562864549994362968022063490260230865264080016448319486457216462200315562021<96>
prime factors 素因数
376009549465429802217359002735787<33>
370907873250938245237270331446578676378971815606577371756099183<63>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 139464902314266031506562864549994362968022063490260230865264080016448319486457216462200315562021 (96 digits)
Using B1=406000, B2=258309880, polynomial Dickson(3), sigma=883985430
Step 1 took 2874ms
Step 2 took 1493ms
********** Factor found in step 2: 376009549465429802217359002735787
Found probable prime factor of 33 digits: 376009549465429802217359002735787
Probable prime cofactor 370907873250938245237270331446578676378971815606577371756099183 has 63 digits

16×10117+119

c113

name 名前Robert Backstrom
date 日付April 27, 2008 09:57:32 UTC 2008 年 4 月 27 日 (日) 18 時 57 分 32 秒 (日本時間)
composite number 合成数
10909490097251285785684430725760647150952568946272806800430652121588994506389892902899401546283852659154119048447<113>
prime factors 素因数
385663420156498117850474192254799661294286001<45>
28287593603832924128934670018553127378252757220332340058030657206447<68>
factorization results 素因数分解の結果
Number: n
N=10909490097251285785684430725760647150952568946272806800430652121588994506389892902899401546283852659154119048447
  ( 113 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=385663420156498117850474192254799661294286001 (pp45)
 r2=28287593603832924128934670018553127378252757220332340058030657206447 (pp68)
Version: GGNFS-0.77.1-20051202-k8
Total time: 1.04 hours.
Scaled time: 0.87 units (timescale=0.837).
Factorization parameters were as follows:
name: KA_1_7_116_9
n: 10909490097251285785684430725760647150952568946272806800430652121588994506389892902899401546283852659154119048447
type: snfs
deg: 5
c5: 50
c0: 11
skew: 0.74
m: 200000000000000000000000
rlim: 600000
alim: 600000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [100000, 220001)
Primes: RFBsize:49098, AFBsize:49122, largePrimes:1775672 encountered
Relations: rels:1748487, finalFF:152025
Max relations in full relation-set: 28
Initial matrix: 98285 x 152025 with sparse part having weight 11114209.
Pruned matrix : 80390 x 80945 with weight 3947440.
Total sieving time: 0.96 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,118,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.5,2.5,50000
total time: 1.04 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

16×10122+119

c83

name 名前Sinkiti Sibata
date 日付April 26, 2008 22:08:49 UTC 2008 年 4 月 27 日 (日) 7 時 8 分 49 秒 (日本時間)
composite number 合成数
14133282594868918897014068537774654409902449086370890143333043941049463297651950283<83>
prime factors 素因数
64143200499177888756970894601<29>
220339529129826668084568653822613720420620993023058483<54>
factorization results 素因数分解の結果
Sun Apr 27 06:13:50 2008  Msieve v. 1.33
Sun Apr 27 06:13:50 2008  random seeds: 34d55870 5576daea
Sun Apr 27 06:13:50 2008  factoring 14133282594868918897014068537774654409902449086370890143333043941049463297651950283 (83 digits)
Sun Apr 27 06:13:52 2008  searching for 15-digit factors
Sun Apr 27 06:13:53 2008  commencing quadratic sieve (83-digit input)
Sun Apr 27 06:13:53 2008  using multiplier of 1
Sun Apr 27 06:13:53 2008  using 64kb Pentium 4 sieve core
Sun Apr 27 06:13:53 2008  sieve interval: 6 blocks of size 65536
Sun Apr 27 06:13:53 2008  processing polynomials in batches of 17
Sun Apr 27 06:13:53 2008  using a sieve bound of 1359077 (52059 primes)
Sun Apr 27 06:13:53 2008  using large prime bound of 125035084 (26 bits)
Sun Apr 27 06:13:53 2008  using trial factoring cutoff of 27 bits
Sun Apr 27 06:13:53 2008  polynomial 'A' values have 10 factors
Sun Apr 27 06:51:31 2008  52222 relations (26417 full + 25805 combined from 282787 partial), need 52155
Sun Apr 27 06:51:32 2008  begin with 309204 relations
Sun Apr 27 06:51:32 2008  reduce to 74824 relations in 2 passes
Sun Apr 27 06:51:32 2008  attempting to read 74824 relations
Sun Apr 27 06:51:34 2008  recovered 74824 relations
Sun Apr 27 06:51:34 2008  recovered 67842 polynomials
Sun Apr 27 06:51:34 2008  attempting to build 52222 cycles
Sun Apr 27 06:51:34 2008  found 52222 cycles in 1 passes
Sun Apr 27 06:51:34 2008  distribution of cycle lengths:
Sun Apr 27 06:51:34 2008     length 1 : 26417
Sun Apr 27 06:51:34 2008     length 2 : 25805
Sun Apr 27 06:51:34 2008  largest cycle: 2 relations
Sun Apr 27 06:51:34 2008  matrix is 52059 x 52222 (7.0 MB) with weight 1615986 (30.94/col)
Sun Apr 27 06:51:34 2008  sparse part has weight 1615986 (30.94/col)
Sun Apr 27 06:51:35 2008  filtering completed in 4 passes
Sun Apr 27 06:51:35 2008  matrix is 45234 x 45298 (5.9 MB) with weight 1376746 (30.39/col)
Sun Apr 27 06:51:35 2008  sparse part has weight 1376746 (30.39/col)
Sun Apr 27 06:51:35 2008  saving the first 48 matrix rows for later
Sun Apr 27 06:51:35 2008  matrix is 45186 x 45298 (4.6 MB) with weight 1113733 (24.59/col)
Sun Apr 27 06:51:35 2008  sparse part has weight 928738 (20.50/col)
Sun Apr 27 06:51:35 2008  matrix includes 64 packed rows
Sun Apr 27 06:51:35 2008  commencing Lanczos iteration
Sun Apr 27 06:51:35 2008  memory use: 6.3 MB
Sun Apr 27 06:52:36 2008  lanczos halted after 716 iterations (dim = 45172)
Sun Apr 27 06:52:36 2008  recovered 10 nontrivial dependencies
Sun Apr 27 06:52:37 2008  prp29 factor: 64143200499177888756970894601
Sun Apr 27 06:52:37 2008  prp54 factor: 220339529129826668084568653822613720420620993023058483
Sun Apr 27 06:52:37 2008  elapsed time 00:38:47
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

16×10123+119

c120

name 名前Sinkiti Sibata
date 日付April 27, 2008 03:29:12 UTC 2008 年 4 月 27 日 (日) 12 時 29 分 12 秒 (日本時間)
composite number 合成数
138036942136639318097505845001768598321125691263124293639085160165989422919308780012250778614626739481153643743906963101<120>
prime factors 素因数
3127936728760055563783574813204076500296280377<46>
44130349846097590297953030403378448580759948085469636863079649654491796613<74>
factorization results 素因数分解の結果
Number: 17779_123
N=138036942136639318097505845001768598321125691263124293639085160165989422919308780012250778614626739481153643743906963101
  ( 120 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=3127936728760055563783574813204076500296280377 (pp46)
 r2=44130349846097590297953030403378448580759948085469636863079649654491796613 (pp74)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.64 hours.
Scaled time: 1.78 units (timescale=0.677).
Factorization parameters were as follows:
name: 17779_123
n: 138036942136639318097505845001768598321125691263124293639085160165989422919308780012250778614626739481153643743906963101
m: 2000000000000000000000000
c5: 500
c0: 11
skew: 0.47
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 600001)
Primes: RFBsize:49098, AFBsize:63914, largePrimes:2151100 encountered
Relations: rels:2241438, finalFF:227478
Max relations in full relation-set: 28
Initial matrix: 113078 x 227478 with sparse part having weight 20178265.
Pruned matrix : 88548 x 89177 with weight 5335089.
Total sieving time: 2.40 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,124,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.64 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

16×10124+119

c97

name 名前Sinkiti Sibata
date 日付April 27, 2008 06:50:12 UTC 2008 年 4 月 27 日 (日) 15 時 50 分 12 秒 (日本時間)
composite number 合成数
2425334275551645003990077583460898220356269581536513355431225872560438064950944002546028039259613<97>
prime factors 素因数
51816470851532967590612913006763<32>
46806242024873304391156980530608793867173799266257699394339756951<65>
factorization results 素因数分解の結果
Number: 17779_124
N=2425334275551645003990077583460898220356269581536513355431225872560438064950944002546028039259613
  ( 97 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=51816470851532967590612913006763 (pp32)
 r2=46806242024873304391156980530608793867173799266257699394339756951 (pp65)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 3.05 hours.
Scaled time: 2.07 units (timescale=0.677).
Factorization parameters were as follows:
name: 17779_124
n: 2425334275551645003990077583460898220356269581536513355431225872560438064950944002546028039259613
m: 10000000000000000000000000
c5: 8
c0: 55
skew: 1.47
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 650001)
Primes: RFBsize:49098, AFBsize:64019, largePrimes:2066221 encountered
Relations: rels:2056554, finalFF:139191
Max relations in full relation-set: 28
Initial matrix: 113182 x 139191 with sparse part having weight 12160681.
Pruned matrix : 105923 x 106552 with weight 7525402.
Total sieving time: 2.72 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.05 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

16×10128+119

c129

name 名前Robert Backstrom
date 日付April 26, 2008 19:10:38 UTC 2008 年 4 月 27 日 (日) 4 時 10 分 38 秒 (日本時間)
composite number 合成数
177777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<129>
prime factors 素因数
32710453956769251258301493239<29>
5434891793697886900299526331565538939027676011247994752035924882091324105223592214028104168618741861<100>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 177777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779 (129 digits)
Using B1=248000, B2=128973400, polynomial Dickson(3), sigma=2684952207
Step 1 took 2438ms
Step 2 took 1172ms
********** Factor found in step 2: 32710453956769251258301493239
Found probable prime factor of 29 digits: 32710453956769251258301493239
Probable prime cofactor 5434891793697886900299526331565538939027676011247994752035924882091324105223592214028104168618741861 has 100 digits

16×10130+119

c131

name 名前Robert Backstrom
date 日付April 27, 2008 15:36:33 UTC 2008 年 4 月 28 日 (月) 0 時 36 分 33 秒 (日本時間)
composite number 合成数
17777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<131>
prime factors 素因数
740649800611949626773509486419719295510999559861201<51>
24002946821951728642362452236161911211145684438969667380651086125420098239262979<80>
factorization results 素因数分解の結果
Number: n
N=17777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
  ( 131 digits)
SNFS difficulty: 131 digits.
Divisors found:

Mon Apr 28 01:29:04 2008  prp51 factor: 740649800611949626773509486419719295510999559861201
Mon Apr 28 01:29:04 2008  prp80 factor: 24002946821951728642362452236161911211145684438969667380651086125420098239262979
Mon Apr 28 01:29:04 2008  elapsed time 00:03:59 (Msieve 1.34)

Version: GGNFS-0.77.1-20050930-k8
Total time: 2.04 hours.
Scaled time: 1.70 units (timescale=0.835).
Factorization parameters were as follows:
name: KA_1_7_129_9
n: 17777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
type: snfs
deg: 5
c5: 1
c0: 22
skew: 1.86
m: 200000000000000000000000000
rlim: 1000000
alim: 1000000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved  special-q in [100000, 439990)
Primes: RFBsize:78498, AFBsize:78572, largePrimes:1538766 encountered
Relations: rels:1564015, finalFF:194448
Max relations in full relation-set: 28
Initial matrix: 157134 x 194448 with sparse part having weight 10069071.
Pruned matrix : 
Total sieving time: 1.99 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.5,2.5,50000
total time: 2.04 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

16×10132+119

c97

name 名前Robert Backstrom
date 日付April 27, 2008 04:43:10 UTC 2008 年 4 月 27 日 (日) 13 時 43 分 10 秒 (日本時間)
composite number 合成数
3620116568201436950577642623446824472281044855780498796266931248963543053534368367493554559655757<97>
prime factors 素因数
393755777432321520680320952896244231087<39>
9193811940508378094496295181426517692653384859674800617411<58>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 3620116568201436950577642623446824472281044855780498796266931248963543053534368367493554559655757 (97 digits)
Using B1=1568000, B2=2140123450, polynomial Dickson(6), sigma=255452866
Step 1 took 11295ms
Step 2 took 5294ms
********** Factor found in step 2: 393755777432321520680320952896244231087
Found probable prime factor of 39 digits: 393755777432321520680320952896244231087
Probable prime cofactor 9193811940508378094496295181426517692653384859674800617411 has 58 digits

16×10135+119

c131

name 名前Robert Backstrom
date 日付April 27, 2008 17:22:35 UTC 2008 年 4 月 28 日 (月) 2 時 22 分 35 秒 (日本時間)
composite number 合成数
18786817759648498639716976590450895367992663747664857261281190520641428925358798864806536873239469695101689522004647389043293047351<131>
prime factors 素因数
116913662942380963981152305353982462461229<42>
160689668656667462774664759034224831860341321263111183165054495696018746338066716792796019<90>
factorization results 素因数分解の結果
Number: n
N=18786817759648498639716976590450895367992663747664857261281190520641428925358798864806536873239469695101689522004647389043293047351
  ( 131 digits)
SNFS difficulty: 136 digits.
Divisors found:

Mon Apr 28 03:16:59 2008  prp42 factor: 116913662942380963981152305353982462461229
Mon Apr 28 03:16:59 2008  prp90 factor: 160689668656667462774664759034224831860341321263111183165054495696018746338066716792796019
Mon Apr 28 03:16:59 2008  elapsed time 00:05:27 (Msieve 1.34)

Version: GGNFS-0.77.1-20050930-k8
Total time: 3.72 hours.
Scaled time: 3.10 units (timescale=0.833).
Factorization parameters were as follows:
name: KA_1_7_134_9
n: 18786817759648498639716976590450895367992663747664857261281190520641428925358798864806536873239469695101689522004647389043293047351
type: snfs
deg: 5
c5: 1
c0: 22
skew: 1.86
m: 2000000000000000000000000000
rlim: 1200000
alim: 1200000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved  special-q in [100000, 760000)
Primes: RFBsize:92938, AFBsize:93010, largePrimes:1459042 encountered
Relations: rels:1486909, finalFF:209935
Max relations in full relation-set: 28
Initial matrix: 186012 x 209935 with sparse part having weight 8026945.
Pruned matrix : 165211 x 166205 with weight 5314324.
Total sieving time: 3.68 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1200000,1200000,25,25,43,43,2.5,2.5,75000
total time: 3.72 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

16×10136+119

c98

name 名前Jo Yeong Uk
date 日付April 27, 2008 06:20:11 UTC 2008 年 4 月 27 日 (日) 15 時 20 分 11 秒 (日本時間)
composite number 合成数
15618697041954592395199300036107685358583358819631114262492224881317156816884962005048828995643289<98>
prime factors 素因数
878422995771064242156524199679<30>
17780382705310184963084137750438109941582309771712168927829813727591<68>
factorization results 素因数分解の結果
Number: 17779_136
N=15618697041954592395199300036107685358583358819631114262492224881317156816884962005048828995643289
  ( 98 digits)
Divisors found:
 r1=878422995771064242156524199679 (pp30)
 r2=17780382705310184963084137750438109941582309771712168927829813727591 (pp68)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.55 hours.
Scaled time: 5.43 units (timescale=2.131).
Factorization parameters were as follows:
name: 17779_136
n: 15618697041954592395199300036107685358583358819631114262492224881317156816884962005048828995643289
skew: 2515.38
# norm 1.60e+13
c5: 227880
c4: -100766386
c3: -2631617626383
c2: 3483269386581489
c1: 8847300392404231453
c0: -10566367372676025532153
# alpha -5.45
Y1: 27021702347
Y0: -2329100152203075420
# Murphy_E 4.63e-09
# M 5611294509854701452427197899181609930823487150004322445320319899280321733814839177639706302297392
type: gnfs
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [650000, 1000001)
Primes: RFBsize:100021, AFBsize:100521, largePrimes:3729833 encountered
Relations: rels:3572357, finalFF:257700
Max relations in full relation-set: 28
Initial matrix: 200626 x 257700 with sparse part having weight 19363794.
Pruned matrix : 163294 x 164361 with weight 9665215.
Polynomial selection time: 0.20 hours.
Total sieving time: 2.17 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,97,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1300000,1300000,26,26,48,48,2.5,2.5,50000
total time: 2.55 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167428k/8912896k available (2127k kernel code, 0k reserved, 1314k data, 212k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407673)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4957.34 BogoMIPS (lpj=2478671)
Total of 4 processors activated (19393.17 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

16×10137+119

c124

name 名前Robert Backstrom
date 日付April 27, 2008 23:49:32 UTC 2008 年 4 月 28 日 (月) 8 時 49 分 32 秒 (日本時間)
composite number 合成数
9470169156223587389224065451365074531135004558489529786850901405282576799155265960697494003782555977979977594246624610114787<124>
prime factors 素因数
25057095028301441065470887673091378935372641<44>
377943618185876629077139501895581334015847645792582347898293700223261113504154307<81>
factorization results 素因数分解の結果
Number: n
N=9470169156223587389224065451365074531135004558489529786850901405282576799155265960697494003782555977979977594246624610114787
  ( 124 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=25057095028301441065470887673091378935372641 (pp44)
 r2=377943618185876629077139501895581334015847645792582347898293700223261113504154307 (pp81)
Version: GGNFS-0.77.1-20051202-k8
Total time: 6.04 hours.
Scaled time: 5.06 units (timescale=0.837).
Factorization parameters were as follows:
name: KA_1_7_136_9
n: 9470169156223587389224065451365074531135004558489529786850901405282576799155265960697494003782555977979977594246624610114787
type: snfs
deg: 5
c5: 50
c0: 11
skew: 0.74
m: 2000000000000000000000000000
rlim: 1000000
alim: 1000000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [100000, 1240001)
Primes: RFBsize:78498, AFBsize:78657, largePrimes:1532234 encountered
Relations: rels:1527221, finalFF:178475
Max relations in full relation-set: 28
Initial matrix: 157220 x 178475 with sparse part having weight 11121586.
Pruned matrix : 150304 x 151154 with weight 7874976.
Total sieving time: 5.86 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,43,43,2.5,2.5,75000
total time: 6.04 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

16×10140+119

c141

name 名前Robert Backstrom
date 日付April 27, 2008 01:44:47 UTC 2008 年 4 月 27 日 (日) 10 時 44 分 47 秒 (日本時間)
composite number 合成数
177777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<141>
prime factors 素因数
325913857692204415401309983425939<33>
545474743039838751488576360288698540556507517839459352048194572123867434191137681771453058583347982000134561<108>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 177777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779 (141 digits)
Using B1=272000, B2=172066450, polynomial Dickson(3), sigma=2505690866
Step 1 took 2944ms
Step 2 took 35ms
********** Factor found in step 2: 325913857692204415401309983425939
Found probable prime factor of 33 digits: 325913857692204415401309983425939
Probable prime cofactor 545474743039838751488576360288698540556507517839459352048194572123867434191137681771453058583347982000134561 has 108 digits

16×10141+119

c120

name 名前Jo Yeong Uk
date 日付April 27, 2008 12:22:53 UTC 2008 年 4 月 27 日 (日) 21 時 22 分 53 秒 (日本時間)
composite number 合成数
570450894855346227484587960803916244029526110944038813634612710061479771528045222860658881615959667876449462506118998333<120>
prime factors 素因数
6522369570081283852203348349906721407<37>
87460682613272569632304161894821897127960481192555515075521999576953130373280138819<83>
factorization results 素因数分解の結果
Number: 17779_141
N=570450894855346227484587960803916244029526110944038813634612710061479771528045222860658881615959667876449462506118998333
  ( 120 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=6522369570081283852203348349906721407 (pp37)
 r2=87460682613272569632304161894821897127960481192555515075521999576953130373280138819 (pp83)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.91 hours.
Scaled time: 12.68 units (timescale=2.144).
Factorization parameters were as follows:
n: 570450894855346227484587960803916244029526110944038813634612710061479771528045222860658881615959667876449462506118998333
m: 20000000000000000000000000000
c5: 5
c0: 11
skew: 1.17
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [750000, 1150001)
Primes: RFBsize:114155, AFBsize:114558, largePrimes:3326212 encountered
Relations: rels:3407379, finalFF:377949
Max relations in full relation-set: 28
Initial matrix: 228778 x 377949 with sparse part having weight 32131042.
Pruned matrix : 176386 x 177593 with weight 12842783.
Total sieving time: 5.74 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000
total time: 5.91 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167428k/8912896k available (2127k kernel code, 0k reserved, 1314k data, 212k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407673)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4957.34 BogoMIPS (lpj=2478671)
Total of 4 processors activated (19393.17 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

16×10142+119

c134

name 名前Robert Backstrom
date 日付April 28, 2008 08:00:44 UTC 2008 年 4 月 28 日 (月) 17 時 0 分 44 秒 (日本時間)
composite number 合成数
54530111525710024491828105387888600962742956002210131321940002004915426729721184244105429309673677672290606202760174580183296214976109<134>
prime factors 素因数
27671075944796408029522595003337759929<38>
6590894924445613177053144476952932493083835323<46>
298996394724726338639789823356192339064617460410927<51>
factorization results 素因数分解の結果
Number: n
N=54530111525710024491828105387888600962742956002210131321940002004915426729721184244105429309673677672290606202760174580183296214976109
  ( 134 digits)
SNFS difficulty: 143 digits.
Divisors found:

Mon Apr 28 17:53:49 2008  prp38 factor: 27671075944796408029522595003337759929
Mon Apr 28 17:53:49 2008  prp46 factor: 6590894924445613177053144476952932493083835323
Mon Apr 28 17:53:49 2008  prp51 factor: 298996394724726338639789823356192339064617460410927
Mon Apr 28 17:53:49 2008  elapsed time 00:12:27

Version: GGNFS-0.77.1-20050930-k8
Total time: 7.73 hours.
Scaled time: 6.48 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_1_7_141_9
n: 54530111525710024491828105387888600962742956002210131321940002004915426729721184244105429309673677672290606202760174580183296214976109
type: snfs
deg: 5
c5: 50
c0: 11
skew: 0.74
m: 20000000000000000000000000000
rlim: 1000000
alim: 1000000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved  special-q in [100000, 1600897)
Primes: RFBsize:78498, AFBsize:78657, largePrimes:2604383 encountered
Relations: rels:2484203, finalFF:121506
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 7.63 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1000000,1000000,26,26,45,45,2.5,2.5,100000
total time: 7.73 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

16×10144+119

c107

name 名前Jo Yeong Uk
date 日付April 28, 2008 00:26:00 UTC 2008 年 4 月 28 日 (月) 9 時 26 分 0 秒 (日本時間)
composite number 合成数
18723696933586044238822912804459035527501235116307888482182981914368803208101426662639442126351540344762583<107>
prime factors 素因数
119839803340528054651439296435684615981<39>
156239383006847491926868354100145305520439669088317032907096506743443<69>
factorization results 素因数分解の結果
Number: 17779_144
N=18723696933586044238822912804459035527501235116307888482182981914368803208101426662639442126351540344762583
  ( 107 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=119839803340528054651439296435684615981 (pp39)
 r2=156239383006847491926868354100145305520439669088317032907096506743443 (pp69)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 8.90 hours.
Scaled time: 19.00 units (timescale=2.135).
Factorization parameters were as follows:
n: 18723696933586044238822912804459035527501235116307888482182981914368803208101426662639442126351540344762583
m: 200000000000000000000000000000
c5: 1
c0: 220
skew: 2.94
type: snfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1500001)
Primes: RFBsize:135072, AFBsize:135239, largePrimes:3797650 encountered
Relations: rels:3966868, finalFF:457655
Max relations in full relation-set: 28
Initial matrix: 270375 x 457655 with sparse part having weight 41124222.
Pruned matrix : 204905 x 206320 with weight 17448813.
Total sieving time: 8.66 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000
total time: 8.90 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167428k/8912896k available (2127k kernel code, 0k reserved, 1314k data, 212k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407673)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4957.34 BogoMIPS (lpj=2478671)
Total of 4 processors activated (19393.17 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

16×10145+119

c136

name 名前Jo Yeong Uk
date 日付April 28, 2008 00:26:53 UTC 2008 年 4 月 28 日 (月) 9 時 26 分 53 秒 (日本時間)
composite number 合成数
1613607623978796108975503488209942683714546869329096238203971838817228567752709581275427586264502413452233709831637068300797031823380173<136>
prime factors 素因数
219688159837927926313717321649179<33>
181683550514854037041455877867851313467232812473<48>
40427387536757891148686148058262026542402816481494289519<56>
factorization results 素因数分解の結果
Number: 17779_145
N=1613607623978796108975503488209942683714546869329096238203971838817228567752709581275427586264502413452233709831637068300797031823380173
  ( 136 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=219688159837927926313717321649179 (pp33)
 r2=181683550514854037041455877867851313467232812473 (pp48)
 r3=40427387536757891148686148058262026542402816481494289519 (pp56)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 7.81 hours.
Scaled time: 16.64 units (timescale=2.130).
Factorization parameters were as follows:
n: 1613607623978796108975503488209942683714546869329096238203971838817228567752709581275427586264502413452233709831637068300797031823380173
m: 200000000000000000000000000000
c5: 1
c0: 22
skew: 1.86
type: snfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1425001)
Primes: RFBsize:135072, AFBsize:134864, largePrimes:3695013 encountered
Relations: rels:3765759, finalFF:378118
Max relations in full relation-set: 28
Initial matrix: 270000 x 378118 with sparse part having weight 32616641.
Pruned matrix : 226218 x 227632 with weight 16299176.
Total sieving time: 7.54 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000
total time: 7.81 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167428k/8912896k available (2127k kernel code, 0k reserved, 1314k data, 212k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407673)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4957.34 BogoMIPS (lpj=2478671)
Total of 4 processors activated (19393.17 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

16×10154+119

c115

name 名前Jo Yeong Uk
date 日付April 28, 2008 20:32:37 UTC 2008 年 4 月 29 日 (火) 5 時 32 分 37 秒 (日本時間)
composite number 合成数
3513507306804862810538722776440328397675041984180199354540267312541637491202827793705688552751190010953335386275467<115>
prime factors 素因数
424574177680638046809321367987093479461<39>
8275367395159157100758043906017743682611898325580244458730518452024285252847<76>
factorization results 素因数分解の結果
Number: 17779_154
N=3513507306804862810538722776440328397675041984180199354540267312541637491202827793705688552751190010953335386275467
  ( 115 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=424574177680638046809321367987093479461 (pp39)
 r2=8275367395159157100758043906017743682611898325580244458730518452024285252847 (pp76)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 18.84 hours.
Scaled time: 40.37 units (timescale=2.143).
Factorization parameters were as follows:
n: 3513507306804862810538722776440328397675041984180199354540267312541637491202827793705688552751190010953335386275467
m: 20000000000000000000000000000000
c5: 1
c0: 220
skew: 2.94
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2700001)
Primes: RFBsize:216816, AFBsize:216842, largePrimes:5504362 encountered
Relations: rels:5391098, finalFF:491424
Max relations in full relation-set: 28
Initial matrix: 433721 x 491424 with sparse part having weight 37285454.
Pruned matrix : 399502 x 401734 with weight 26928509.
Total sieving time: 17.98 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.74 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 18.84 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167428k/8912896k available (2127k kernel code, 0k reserved, 1314k data, 212k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407673)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4957.34 BogoMIPS (lpj=2478671)
Total of 4 processors activated (19393.17 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

16×10157+119

c124

name 名前Jo Yeong Uk
date 日付April 29, 2008 05:23:21 UTC 2008 年 4 月 29 日 (火) 14 時 23 分 21 秒 (日本時間)
composite number 合成数
4933284264854726011199914777590554288912649583309790986348928487950729049522496039958276785689365379111664392646812831729023<124>
prime factors 素因数
4914350290219746139126636107283086748016976763<46>
1003852793048281716132218328272508392055966130363433679564450662607859607459021<79>
factorization results 素因数分解の結果
Number: 17779_157
N=4933284264854726011199914777590554288912649583309790986348928487950729049522496039958276785689365379111664392646812831729023
  ( 124 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=4914350290219746139126636107283086748016976763 (pp46)
 r2=1003852793048281716132218328272508392055966130363433679564450662607859607459021 (pp79)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 26.38 hours.
Scaled time: 56.41 units (timescale=2.138).
Factorization parameters were as follows:
n: 4933284264854726011199914777590554288912649583309790986348928487950729049522496039958276785689365379111664392646812831729023
m: 20000000000000000000000000000000
c5: 50
c0: 11
skew: 0.74
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3600001)
Primes: RFBsize:283146, AFBsize:283028, largePrimes:5726623 encountered
Relations: rels:5800542, finalFF:692066
Max relations in full relation-set: 28
Initial matrix: 566239 x 692066 with sparse part having weight 44440711.
Pruned matrix : 466921 x 469816 with weight 28684118.
Total sieving time: 25.29 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.96 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 26.38 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167428k/8912896k available (2127k kernel code, 0k reserved, 1314k data, 212k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407673)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4957.34 BogoMIPS (lpj=2478671)
Total of 4 processors activated (19393.17 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

16×10158+119

c117

name 名前Jo Yeong Uk
date 日付April 30, 2008 12:13:15 UTC 2008 年 4 月 30 日 (水) 21 時 13 分 15 秒 (日本時間)
composite number 合成数
100202275398200758288755959759199695048283608989076012457803031165111105417145614149076922956946071387503593890491527<117>
prime factors 素因数
2134129586476034361751373376668327<34>
28096861999607415883106912277348090679271<41>
1671086683923658132629175023545298008290231<43>
factorization results 素因数分解の結果
Number: 17779_158
N=100202275398200758288755959759199695048283608989076012457803031165111105417145614149076922956946071387503593890491527
  ( 117 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=2134129586476034361751373376668327 (pp34)
 r2=28096861999607415883106912277348090679271 (pp41)
 r3=1671086683923658132629175023545298008290231 (pp43)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 22.59 hours.
Scaled time: 53.61 units (timescale=2.373).
Factorization parameters were as follows:
n: 100202275398200758288755959759199695048283608989076012457803031165111105417145614149076922956946071387503593890491527
m: 100000000000000000000000000000000
c5: 4
c0: 275
skew: 2.33
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3500001)
Primes: RFBsize:283146, AFBsize:282328, largePrimes:5697960 encountered
Relations: rels:5807108, finalFF:723224
Max relations in full relation-set: 28
Initial matrix: 565538 x 723224 with sparse part having weight 44336124.
Pruned matrix : 436240 x 439131 with weight 27143298.
Total sieving time: 21.63 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.85 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 22.59 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047208k/8912896k available (2434k kernel code, 339080k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.03 BogoMIPS (lpj=2672015)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)
execution environment 実行環境
Core 2 Quad Q6700

16×10162+119

c152

name 名前Robert Backstrom
date 日付April 30, 2008 06:38:37 UTC 2008 年 4 月 30 日 (水) 15 時 38 分 37 秒 (日本時間)
composite number 合成数
21921871789374700765603171472846597209788241871032254959229688096811568227465362837416091934634642557602728372935586320825322774526670153434118170952137<152>
prime factors 素因数
8738921168068223070819335162356745813567<40>
13556939193433310268348957012659665344973696429079407199<56>
185036823188116760892677166163881313320229342307235722089<57>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 21921871789374700765603171472846597209788241871032254959229688096811568227465362837416091934634642557602728372935586320825322774526670153434118170952137 (152 digits)
Using B1=4218000, B2=8561760490, polynomial Dickson(6), sigma=731564231
Step 1 took 50506ms
Step 2 took 18218ms
********** Factor found in step 2: 8738921168068223070819335162356745813567
Found probable prime factor of 40 digits: 8738921168068223070819335162356745813567
Composite cofactor 2508532960507369683116226125792753818248735064626633650889410151638428241599905078493703429185525506304829918711 has 112 digits


Number: n
N=2508532960507369683116226125792753818248735064626633650889410151638428241599905078493703429185525506304829918711
  ( 112 digits)
Divisors found:

Wed Apr 30 16:29:28 2008  prp56 factor: 13556939193433310268348957012659665344973696429079407199
Wed Apr 30 16:29:28 2008  prp57 factor: 185036823188116760892677166163881313320229342307235722089
Wed Apr 30 16:29:28 2008  elapsed time 00:49:00 (Msieve 1.34)

Version: GGNFS-0.77.1-20050930-k8
Total time: 20.01 hours.
Scaled time: 16.71 units (timescale=0.835).
Factorization parameters were as follows:
name: KA_1_7_161_9
n: 2508532960507369683116226125792753818248735064626633650889410151638428241599905078493703429185525506304829918711
skew: 43366.64
# norm 5.45e+15
c5: 43920
c4: -4846848468
c3: -236249798478376
c2: 8406881964709630013
c1: 187479335648406438045156
c0: -3098499176790197889764617485
# alpha -6.91
Y1: 499363817177
Y0: -2245709765640471211154
# Murphy_E 8.54e-10
# M 1428327081851271319039963154859251667243927909391619659471900613331547899535708849353768931258657004078679706063
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  special-q in [100000, 1199990)
Primes: RFBsize:250150, AFBsize:249777, largePrimes:6866749 encountered
Relations: rels:6624270, finalFF:602658
Max relations in full relation-set: 28
Initial matrix: 500007 x 602658 with sparse part having weight 37395817.
Pruned matrix : 
Total sieving time: 19.82 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 20.01 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

16×10163+119

c108

name 名前Jo Yeong Uk
date 日付April 28, 2008 00:29:59 UTC 2008 年 4 月 28 日 (月) 9 時 29 分 59 秒 (日本時間)
composite number 合成数
250495371319926358393831904945061412497419470224576879854758043273111467035776433133349520050524576823141683<108>
prime factors 素因数
59088108152824243798798734618151<32>
4239353385152396199790986646873480940040953204280123465501575552424783987733<76>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 250495371319926358393831904945061412497419470224576879854758043273111467035776433133349520050524576823141683 (108 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3517334999
Step 1 took 5533ms
Step 2 took 3313ms
********** Factor found in step 2: 59088108152824243798798734618151
Found probable prime factor of 32 digits: 59088108152824243798798734618151
Probable prime cofactor 4239353385152396199790986646873480940040953204280123465501575552424783987733 has 76 digits
execution environment 実行環境
Core 2 Quad Q6600

16×10164+119

c152

name 名前Robert Backstrom
date 日付May 15, 2008 17:45:12 UTC 2008 年 5 月 16 日 (金) 2 時 45 分 12 秒 (日本時間)
composite number 合成数
33994684810970224044938855284325010320587366934543670749637725820422739011723947723559014858582979941037256593746246806758495085353818012064597627409719<152>
prime factors 素因数
819054711215580220780088216797582579278329688084587866978373<60>
41504779040362072486741147317329424235777767852517739678824079973857105583247144975259600203<92>
factorization results 素因数分解の結果
Number: n
N=33994684810970224044938855284325010320587366934543670749637725820422739011723947723559014858582979941037256593746246806758495085353818012064597627409719
  ( 152 digits)
SNFS difficulty: 166 digits.
Divisors found:

Fri May 16 01:29:50 2008  prp60 factor: 819054711215580220780088216797582579278329688084587866978373
Fri May 16 01:29:50 2008  prp92 factor: 41504779040362072486741147317329424235777767852517739678824079973857105583247144975259600203
Fri May 16 01:29:50 2008  elapsed time 01:08:56 (Msieve 1.35)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 51.96 hours.
Scaled time: 73.43 units (timescale=1.413).
Factorization parameters were as follows:
name: KA_1_7_163_9
n: 33994684810970224044938855284325010320587366934543670749637725820422739011723947723559014858582979941037256593746246806758495085353818012064597627409719
skew: 1.47
deg: 5
c5: 1
c0: 220
m: 2000000000000000000000000000000000
type: snfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3400223)
Primes: RFBsize:230209, AFBsize:230048, largePrimes:7594820 encountered
Relations: rels:7045114, finalFF:515446
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 51.77 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 51.96 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

16×10165+119

c105

name 名前Justin Card
date 日付April 28, 2008 11:17:10 UTC 2008 年 4 月 28 日 (月) 20 時 17 分 10 秒 (日本時間)
composite number 合成数
691590894466269197730146910797393517066082048486545304291390199393830336725204059012699605334945540522273<105>
prime factors 素因数
29020234627925602195812824299370283577151<41>
23831333665399274683827843453947996114011483468521275295280977823<65>
factorization results 素因数分解の結果
Number: 17779_165
N=691590894466269197730146910797393517066082048486545304291390199393830336725204059012699605334945540522273
  ( 105 digits)
Divisors found:
 r1=29020234627925602195812824299370283577151 (pp41)
 r2=23831333665399274683827843453947996114011483468521275295280977823 (pp65)
Version: GGNFS-0.77.1-20060722-k8
Total time: 16.44 hours.
Scaled time: 33.17 units (timescale=2.018).
Factorization parameters were as follows:
name: 17779_165
n: 691590894466269197730146910797393517066082048486545304291390199393830336725204059012699605334945540522273
skew: 15009.73
# norm 3.47e+14
c5: 16800
c4: 1595716796
c3: -4454616847204
c2: -293960595689521449
c1: -1548469487062960190204
c0: 36690328126755034441600
# alpha -5.82
Y1: 97184239787
Y0: -132709482478364848917
# Murphy_E 1.77e-09
# M 278220095968292048864566809319835243296760349851295271958673057244600229804999456623869010072640694735745
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: RFBsize:183072, AFBsize:183403, largePrimes:4536354 encountered
Relations: rels:4756460, finalFF:577861
Max relations in full relation-set: 32
Initial matrix: 366556 x 577861 with sparse part having weight 45965216.
Pruned matrix : 226843 x 228739 with weight 22348975.
Total sieving time: 15.10 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.14 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 16.44 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Sieve running on both cores of an Athlon 64 X2 3800, 3 GB ram 

16×10168+119

c166

name 名前Robert Backstrom
date 日付April 28, 2008 12:07:56 UTC 2008 年 4 月 28 日 (月) 21 時 7 分 56 秒 (日本時間)
composite number 合成数
2782124847852547383063814988697617805599026256303251608415927664753955833768040340810293861937054425317336115458181185880716397148322030951138932359589636584941749261<166>
prime factors 素因数
1920233553146556380827007015720641<34>
1448847117213251607625355567575003378529401722538088872843295916219662258839658830543803065160753377230243618938669969296230845983821<133>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 2782124847852547383063814988697617805599026256303251608415927664753955833768040340810293861937054425317336115458181185880716397148322030951138932359589636584941749261 (166 digits)
Using B1=1566000, B2=2140123450, polynomial Dickson(6), sigma=3219268027
Step 1 took 22253ms
Step 2 took 9070ms
********** Factor found in step 2: 1920233553146556380827007015720641
Found probable prime factor of 34 digits: 1920233553146556380827007015720641
Probable prime cofactor 1448847117213251607625355567575003378529401722538088872843295916219662258839658830543803065160753377230243618938669969296230845983821 has 133 digits

16×10169+119

c170

name 名前Jo Yeong Uk
date 日付April 27, 2008 12:01:58 UTC 2008 年 4 月 27 日 (日) 21 時 1 分 58 秒 (日本時間)
composite number 合成数
17777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<170>
prime factors 素因数
2775860259573482934248483330570378457853049<43>
6404421013797493046865420439571729954912032159024481277804152948807882071405358296499945494751597025942489791947474746224573771<127>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 17777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779 (170 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=386140860
Step 1 took 25761ms
Step 2 took 11007ms
********** Factor found in step 2: 2775860259573482934248483330570378457853049
Found probable prime factor of 43 digits: 2775860259573482934248483330570378457853049
Probable prime cofactor 6404421013797493046865420439571729954912032159024481277804152948807882071405358296499945494751597025942489791947474746224573771 has 127 digits
execution environment 実行環境
Core 2 Quad Q6600

16×10170+119

c169

name 名前Robert Backstrom
date 日付May 12, 2008 03:17:33 UTC 2008 年 5 月 12 日 (月) 12 時 17 分 33 秒 (日本時間)
composite number 合成数
1832760595647193585337915234822451317296678121420389461626575028636884306987399770904925544100801832760595647193585337915234822451317296678121420389461626575028636884307<169>
prime factors 素因数
544927506016603202875320936707390870032381644203<48>
3363310854033769132027671298925141168506829437495958093452712839551811960294973871579104443447473715330880252358213138169<121>
factorization results 素因数分解の結果
Number: n
N=1832760595647193585337915234822451317296678121420389461626575028636884306987399770904925544100801832760595647193585337915234822451317296678121420389461626575028636884307
  ( 169 digits)
SNFS difficulty: 171 digits.
Divisors found:

Mon May 12 13:11:07 2008  prp48 factor: 544927506016603202875320936707390870032381644203
Mon May 12 13:11:07 2008  prp121 factor: 3363310854033769132027671298925141168506829437495958093452712839551811960294973871579104443447473715330880252358213138169
Mon May 12 13:11:07 2008  elapsed time 01:00:41 (Msieve 1.35)

Version: GGNFS-0.77.1-20050930-k8
Total time: 45.52 hours.
Scaled time: 38.20 units (timescale=0.839).
Factorization parameters were as follows:
name: KA_1_7_169_9
n: 1832760595647193585337915234822451317296678121420389461626575028636884306987399770904925544100801832760595647193585337915234822451317296678121420389461626575028636884307
type: snfs
deg: 5
c5: 1
c0: 22
skew: 1.86
m: 20000000000000000000000000000000000
rlim: 3500000
alim: 3500000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 5399990)
Primes: RFBsize:250150, AFBsize:250502, largePrimes:6093794 encountered
Relations: rels:6215521, finalFF:628867
Max relations in full relation-set: 28
Initial matrix: 500716 x 628867 with sparse part having weight 69517955.
Pruned matrix : 
Total sieving time: 45.32 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,48,48,2.5,2.5,100000
total time: 45.52 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

16×10174+119

c162

name 名前Serge Batalov
date 日付October 5, 2008 08:11:07 UTC 2008 年 10 月 5 日 (日) 17 時 11 分 7 秒 (日本時間)
composite number 合成数
100915725362554002364501419207197777731698192911626639529994611985298253998737829459681683047242759485990893379420110665314800843379406876873846060405769689363871<162>
prime factors 素因数
168059235324598838433859428519907<33>
composite cofactor 合成数の残り
600477118485275904046986059283468225318011819543399844819021644617823346316693276523484494374747561974398107937389166265935378453<129>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=151457020
Step 1 took 26818ms
Step 2 took 16347ms
********** Factor found in step 2: 168059235324598838433859428519907
Found probable prime factor of 33 digits: 168059235324598838433859428519907
Composite cofactor 600477118485275904046986059283468225318011819543399844819021644617823346316693276523484494374747561974398107937389166265935378453 has 129 digits
software ソフトウェア
GMP-ECM 6.2.1

c129

name 名前ruffenach timothee
date 日付July 25, 2010 18:35:40 UTC 2010 年 7 月 26 日 (月) 3 時 35 分 40 秒 (日本時間)
composite number 合成数
600477118485275904046986059283468225318011819543399844819021644617823346316693276523484494374747561974398107937389166265935378453<129>
prime factors 素因数
2724807738969626251186064676382796561265174458878544791977223<61>
220374123978502650727314357547518678540695914937118630775026032523011<69>
factorization results 素因数分解の結果
Number: 17779_174/17779_174
N=600477118485275904046986059283468225318011819543399844819021644617823346316693276523484494374747561974398107937389166265935378453
  ( 129 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=2724807738969626251186064676382796561265174458878544791977223 (pp61)
 r2=220374123978502650727314357547518678540695914937118630775026032523011 (pp69)
Version: Msieve v. 1.44
Total time: 88.28 hours.
Scaled time: 184.24 units (timescale=2.087).
Factorization parameters were as follows:
n: 600477118485275904046986059283468225318011819543399844819021644617823346316693276523484494374747561974398107937389166265935378453
m: 20000000000000000000000000000000000
deg: 5
c5: 5000
c0: 11
skew: 0.29
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 6800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1158558 x 1158783
Total sieving time: 85.81 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.10 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000
total time: 88.28 hours.
 --------- CPU info (if available) ----------
[    0.075691] CPU0: Intel(R) Core(TM)2 Quad CPU    Q8300  @ 2.50GHz stepping 0a
[    0.000000] Memory: 3346268k/3407488k available (4679k kernel code, 59632k reserved, 2143k data, 576k init, 2498184k highmem)
[    0.004004] Calibrating delay loop (skipped), value calculated using timer frequency.. 4986.36 BogoMIPS (lpj=9972736)
[    0.348022] Total of 4 processors activated (27366.73 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 26, 2008 09:00:00 UTC 2008 年 4 月 26 日 (土) 18 時 0 分 0 秒 (日本時間)
351e61035625Ignacio SantosMarch 18, 2010 19:52:29 UTC 2010 年 3 月 19 日 (金) 4 時 52 分 29 秒 (日本時間)
410Ignacio SantosMarch 29, 2010 08:51:11 UTC 2010 年 3 月 29 日 (月) 17 時 51 分 11 秒 (日本時間)
403e62054150Ignacio SantosMarch 29, 2010 08:51:11 UTC 2010 年 3 月 29 日 (月) 17 時 51 分 11 秒 (日本時間)
1904Wataru SakaiMay 26, 2010 06:41:22 UTC 2010 年 5 月 26 日 (水) 15 時 41 分 22 秒 (日本時間)

16×10175+119

c158

name 名前Wataru Sakai
date 日付December 5, 2010 06:15:59 UTC 2010 年 12 月 5 日 (日) 15 時 15 分 59 秒 (日本時間)
composite number 合成数
19016468480192810254846247551691752390059293502720209190722398367870651858596237700207997180994547914891630559474677156665983575280077922628888977263783735163<158>
prime factors 素因数
2323855656201405064092250043089242634035400277709773<52>
8183153901769138805230374488180060285877329645264207481415750075991580506059700736947016314047702938851431<106>
factorization results 素因数分解の結果
Number: 17779_175
N=19016468480192810254846247551691752390059293502720209190722398367870651858596237700207997180994547914891630559474677156665983575280077922628888977263783735163
  ( 158 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=2323855656201405064092250043089242634035400277709773
 r2=8183153901769138805230374488180060285877329645264207481415750075991580506059700736947016314047702938851431
Version: 
Total time: 101.96 hours.
Scaled time: 205.45 units (timescale=2.015).
Factorization parameters were as follows:
n: 19016468480192810254846247551691752390059293502720209190722398367870651858596237700207997180994547914891630559474677156665983575280077922628888977263783735163
m: 100000000000000000000000000000000000
deg: 5
c5: 16
c0: 11
skew: 0.93
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 5550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1112674 x 1112922
Total sieving time: 101.96 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,176,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 101.96 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 26, 2008 09:00:00 UTC 2008 年 4 月 26 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 19, 2010 18:37:03 UTC 2010 年 6 月 20 日 (日) 3 時 37 分 3 秒 (日本時間)
403e62144110Ignacio SantosJune 19, 2010 18:37:03 UTC 2010 年 6 月 20 日 (日) 3 時 37 分 3 秒 (日本時間)
203Wataru SakaiJune 28, 2010 01:59:28 UTC 2010 年 6 月 28 日 (月) 10 時 59 分 28 秒 (日本時間)
1831Wataru SakaiJune 28, 2010 01:59:44 UTC 2010 年 6 月 28 日 (月) 10 時 59 分 44 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 19, 2010 18:37:03 UTC 2010 年 6 月 20 日 (日) 3 時 37 分 3 秒 (日本時間)

16×10176+119

c146

name 名前Serge Batalov
date 日付August 9, 2008 02:21:03 UTC 2008 年 8 月 9 日 (土) 11 時 21 分 3 秒 (日本時間)
composite number 合成数
25535596442313036301476678985618219206403966730591724728329399616961343290533011084715651834092575322418739942941289405343697917317794991657894713<146>
prime factors 素因数
496354928791903362317826467779<30>
387669240746989213840155332047740229877<39>
132706539281050231573399714574367502225844538391956406948964649195004351055911<78>
factorization results 素因数分解の結果
#ECM, then gnfs/Msieve
#
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=4163435521
Step 1 took 4756ms
Step 2 took 3461ms
********** Factor found in step 2: 496354928791903362317826467779
Found probable prime factor of 30 digits: 496354928791903362317826467779
Composite cofactor 51446243325245243124883276436320816900607858949251075683543295198629791680567051300669622750582627486876398819652947 has 116 digits

Number: 17779_176
N=51446243325245243124883276436320816900607858949251075683543295198629791680567051300669622750582627486876398819652947
  ( 116 digits)
Divisors found:
 r1=387669240746989213840155332047740229877
 r2=132706539281050231573399714574367502225844538391956406948964649195004351055911
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.725).
Factorization parameters were as follows:
name: 17779_176
n: 51446243325245243124883276436320816900607858949251075683543295198629791680567051300669622750582627486876398819652947
skew: 49622.16
# norm 1.82e+16
c5: 35640
c4: 4885507446
c3: 532420277871665
c2: -13094255266500546523
c1: -567963476960577454726385
c0: 9529471883982232144532871901
# alpha -6.81
Y1: 446283389723
Y0: -17056223681646455534652
# Murphy_E 4.89e-10
# M 44535924776312533812638796895673595643407947395099259882857573980766606301104420581431481670434365857616130626039851
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 5150001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 602954 x 603191
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.5,2.5,100000

total time: 22.5 hours.
software ソフトウェア
GMP-ECM 6.2.1+pol51+Msieve 1.36
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 26, 2008 09:00:00 UTC 2008 年 4 月 26 日 (土) 18 時 0 分 0 秒 (日本時間)

16×10177+119

c176

name 名前Robert Backstrom
date 日付September 8, 2008 19:02:29 UTC 2008 年 9 月 9 日 (火) 4 時 2 分 29 秒 (日本時間)
composite number 合成数
65843621399176954732510288065843621399176954732510288065843621399176954732510288065843621399176954732510288065843621399176954732510288065843621399176954732510288065843621399177<176>
prime factors 素因数
2621531707625220519663585478246951504563621768505547944917351252820632944202250639<82>
25116469584425904701377272005029275086064055491074195222257361498430466934150973115235367370343<95>
factorization results 素因数分解の結果
Number: n
N=65843621399176954732510288065843621399176954732510288065843621399176954732510288065843621399176954732510288065843621399176954732510288065843621399176954732510288065843621399177
  ( 176 digits)
SNFS difficulty: 178 digits.
Divisors found:

Tue Sep  9 00:56:01 2008  prp82 factor: 2621531707625220519663585478246951504563621768505547944917351252820632944202250639
Tue Sep  9 00:56:01 2008  prp95 factor: 25116469584425904701377272005029275086064055491074195222257361498430466934150973115235367370343
Tue Sep  9 00:56:01 2008  elapsed time 06:39:00 (Msieve 1.36)

Version: GGNFS-0.77.1-20050930-k8
Total time: 69.76 hours.
Scaled time: 58.46 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_1_7_176_9
n: 65843621399176954732510288065843621399176954732510288065843621399176954732510288065843621399176954732510288065843621399176954732510288065843621399176954732510288065843621399177
type: snfs
skew: 0.74
deg: 5
c5: 50
c0: 11
m: 200000000000000000000000000000000000
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 11050001)
Primes: RFBsize:571119, AFBsize:570218, largePrimes:14534848 encountered
Relations: rels:14277297, finalFF:1165292
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 69.27 hours.
Total relation processing time: 0.49 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,52,52,2.5,2.5,100000
total time: 69.76 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 26, 2008 09:00:00 UTC 2008 年 4 月 26 日 (土) 18 時 0 分 0 秒 (日本時間)

16×10182+119

c175

name 名前Ignacio Santos
date 日付September 16, 2010 23:32:05 UTC 2010 年 9 月 17 日 (金) 8 時 32 分 5 秒 (日本時間)
composite number 合成数
4414022011585643582106758689535460902426219891055812298525241313135022414583094476118776708643712532832840619505671964488994285802976027989931538546187944240451796560892546811<175>
prime factors 素因数
152805922352142106946301088449738679313843303648739982463<57>
28886459003948191525185081596971787328259255532168312709041998564283273906706214159421400124272396283306822419787243397<119>
factorization results 素因数分解の結果
Number: 2
N=4414022011585643582106758689535460902426219891055812298525241313135022414583094476118776708643712532832840619505671964488994285802976027989931538546187944240451796560892546811
  ( 175 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=152805922352142106946301088449738679313843303648739982463 (pp57)
 r2=28886459003948191525185081596971787328259255532168312709041998564283273906706214159421400124272396283306822419787243397 (pp119)
Version: Msieve-1.40
Total time: 177.13 hours.
Scaled time: 308.02 units (timescale=1.739).
Factorization parameters were as follows:
n: 4414022011585643582106758689535460902426219891055812298525241313135022414583094476118776708643712532832840619505671964488994285802976027989931538546187944240451796560892546811
m: 2000000000000000000000000000000000000
deg: 5
c5: 50
c0: 11
skew: 0.74
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3950000, 6850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1370055 x 1370280
Total sieving time: 173.96 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.71 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,100000
total time: 177.13 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 26, 2008 09:00:00 UTC 2008 年 4 月 26 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 19, 2010 12:38:56 UTC 2010 年 6 月 19 日 (土) 21 時 38 分 56 秒 (日本時間)
403e62144110Ignacio SantosJune 19, 2010 12:38:56 UTC 2010 年 6 月 19 日 (土) 21 時 38 分 56 秒 (日本時間)
2034Wataru SakaiJune 29, 2010 05:43:40 UTC 2010 年 6 月 29 日 (火) 14 時 43 分 40 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 19, 2010 12:38:56 UTC 2010 年 6 月 19 日 (土) 21 時 38 分 56 秒 (日本時間)

16×10185+119

c185

name 名前Robert Backstrom
date 日付May 2, 2008 01:52:33 UTC 2008 年 5 月 2 日 (金) 10 時 52 分 33 秒 (日本時間)
composite number 合成数
25396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825397<185>
prime factors 素因数
26956598084950821289292271647<29>
composite cofactor 合成数の残り
942137628672209731441123765840597029595643313299719206072714213145836957181250058636962835363668375659087382552918820565633591241200675392898887129525086251<156>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 25396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825397 (185 digits)
Using B1=132000, B2=46882947, polynomial x^2, sigma=3700805489
Step 1 took 2111ms
Step 2 took 1086ms
********** Factor found in step 2: 26956598084950821289292271647
Found probable prime factor of 29 digits: 26956598084950821289292271647
Composite cofactor 942137628672209731441123765840597029595643313299719206072714213145836957181250058636962835363668375659087382552918820565633591241200675392898887129525086251 has 156 digits

c156

name 名前Dmitry Domanov
date 日付August 26, 2013 06:29:36 UTC 2013 年 8 月 26 日 (月) 15 時 29 分 36 秒 (日本時間)
composite number 合成数
942137628672209731441123765840597029595643313299719206072714213145836957181250058636962835363668375659087382552918820565633591241200675392898887129525086251<156>
prime factors 素因数
11455289224028386247258525552172913103739195328177118477075876657803<68>
82244770101133773963044234434172849818647767451318904746540904318924673593004625476181217<89>
factorization results 素因数分解の結果
N=942137628672209731441123765840597029595643313299719206072714213145836957181250058636962835363668375659087382552918820565633591241200675392898887129525086251
  ( 156 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=11455289224028386247258525552172913103739195328177118477075876657803 (pp68)
 r2=82244770101133773963044234434172849818647767451318904746540904318924673593004625476181217 (pp89)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 137.66 hours.
Scaled time: 258.11 units (timescale=1.875).
Factorization parameters were as follows:
n: 942137628672209731441123765840597029595643313299719206072714213145836957181250058636962835363668375659087382552918820565633591241200675392898887129525086251
m: 10000000000000000000000000000000000000
deg: 5
c5: 16
c0: 11
skew: 0.93
# Murphy_E = 7.05e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
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, 11050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1816344 x 1816575
Total sieving time: 133.70 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.53 hours.
Time per square root: 0.21 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: 137.66 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 26, 2008 09:00:00 UTC 2008 年 4 月 26 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 11, 2010 08:04:21 UTC 2010 年 10 月 11 日 (月) 17 時 4 分 21 秒 (日本時間)
403e62310110Ignacio SantosOctober 11, 2010 08:04:21 UTC 2010 年 10 月 11 日 (月) 17 時 4 分 21 秒 (日本時間)
1200Warut RoonguthaiMarch 10, 2013 14:50:49 UTC 2013 年 3 月 10 日 (日) 23 時 50 分 49 秒 (日本時間)
1000Warut RoonguthaiMarch 12, 2013 16:35:31 UTC 2013 年 3 月 13 日 (水) 1 時 35 分 31 秒 (日本時間)
4511e632 / 3954Ignacio SantosOctober 11, 2010 08:04:21 UTC 2010 年 10 月 11 日 (月) 17 時 4 分 21 秒 (日本時間)

16×10187+119

c184

name 名前matsui
date 日付December 10, 2008 07:50:34 UTC 2008 年 12 月 10 日 (水) 16 時 50 分 34 秒 (日本時間)
composite number 合成数
4349835521844330261261996030775086317048636598428621917733735693119103933882500067966180028817660332218687980860723703884946850447217464589620204985998966914063561971562950275942690917<184>
prime factors 素因数
1951924232335499171056484276290444999<37>
2228485844780820932821393203006312484951026177190765804027858301239457423520513255838839227297015998784342612223367264656633254640127530604744244083<148>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
4349835521844330261261996030775086317048636598428621917733735693119103933882500067966180028817660332218687980860723703884946850447217464589620204985998966914063561971562950275942690917
=
1951924232335499171056484276290444999* 2228485844780820932821393203006312484951026177190765804027858301239457423520513255838839227297015998784342612223367264656633254640127530604744244083

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 26, 2008 09:00:00 UTC 2008 年 4 月 26 日 (土) 18 時 0 分 0 秒 (日本時間)

16×10189+119

c149

name 名前Robert Balfour
date 日付March 27, 2020 01:28:33 UTC 2020 年 3 月 27 日 (金) 10 時 28 分 33 秒 (日本時間)
composite number 合成数
11126464574374452816667836594532063769650484845825861609815697853421320193731686729027232520297318583328751997671438226331376869292780813147549997669<149>
prime factors 素因数
235021006192521790932607805104663779092944441<45>
composite cofactor 合成数の残り
47342425916005159948231255678509653288972071439420855859238690645705401835030719384807824368539439629709<104>
factorization results 素因数分解の結果
Thu 2020/03/26 18:58:57 UTC GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
Thu 2020/03/26 18:58:57 UTC Input number is 11126464574374452816667836594532063769650484845825861609815697853421320193731686729027232520297318583328751997671438226331376869292780813147549997669 (149 digits)
Thu 2020/03/26 18:58:57 UTC Run 651 out of 4000:
Thu 2020/03/26 18:58:57 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3161181329
Thu 2020/03/26 18:58:57 UTC Step 1 took 27988ms
Thu 2020/03/26 18:58:57 UTC ********** Factor found in step 2: 235021006192521790932607805104663779092944441
Thu 2020/03/26 18:58:57 UTC Found prime factor of 45 digits: 235021006192521790932607805104663779092944441
Thu 2020/03/26 18:58:57 UTC Composite cofactor 47342425916005159948231255678509653288972071439420855859238690645705401835030719384807824368539439629709 has 104 digits

c104

name 名前Robert Balfour
date 日付March 28, 2020 16:20:22 UTC 2020 年 3 月 29 日 (日) 1 時 20 分 22 秒 (日本時間)
composite number 合成数
47342425916005159948231255678509653288972071439420855859238690645705401835030719384807824368539439629709<104>
prime factors 素因数
2733457198613144250314151823786007842335561207391<49>
17319614859901580825567789715174163014955599366259678099<56>
factorization results 素因数分解の結果
03/26/20 22:12:58 v1.35-beta @ cerium, nfs: commencing nfs on c104: 47342425916005159948231255678509653288972071439420855859238690645705401835030719384807824368539439629709
03/26/20 22:12:58 v1.35-beta @ cerium, nfs: commencing poly selection with 6 threads
03/26/20 22:12:58 v1.35-beta @ cerium, nfs: setting deadline of 283 seconds
03/26/20 22:12:58 v1.35-beta @ cerium, nfs: expecting degree 4 poly E from 6.46e-09 to > 7.43e-09
03/26/20 22:17:49 v1.35-beta @ cerium, nfs: completed 977 ranges of size 60 in 291.5630 seconds
03/26/20 22:17:49 v1.35-beta @ cerium, nfs: best poly = # norm 3.367914e-14 alpha -4.684429 e 6.797e-09 rroots 4
03/26/20 22:17:49 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:18:34 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:19:20 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:20:04 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:20:47 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:21:30 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:22:12 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:22:53 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:23:38 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:24:20 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:25:06 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:25:49 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:26:36 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:27:22 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:28:15 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:29:01 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:29:48 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:30:35 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:31:18 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:32:08 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:32:53 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:33:38 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:34:26 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:35:15 v1.35-beta @ cerium, nfs: commencing msieve filtering
03/26/20 22:36:04 v1.35-beta @ cerium, nfs: raising min_rels by 5.00 percent to 4810722
03/26/20 22:36:04 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:36:51 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:37:39 v1.35-beta @ cerium, nfs: commencing msieve filtering
03/26/20 22:38:33 v1.35-beta @ cerium, nfs: raising min_rels by 5.00 percent to 5232688
03/26/20 22:38:33 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:39:22 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads
03/26/20 22:40:08 v1.35-beta @ cerium, nfs: commencing msieve filtering
03/26/20 22:41:18 v1.35-beta @ cerium, nfs: commencing msieve linear algebra
03/26/20 22:42:34 v1.35-beta @ cerium, nfs: commencing msieve sqrt
03/26/20 22:43:19 v1.35-beta @ cerium, prp56 = 17319614859901580825567789715174163014955599366259678099
03/26/20 22:43:19 v1.35-beta @ cerium, prp49 = 2733457198613144250314151823786007842335561207391
03/26/20 22:43:19 v1.35-beta @ cerium, NFS elapsed time = 1821.0040 seconds.
software ソフトウェア
GGNFS + YAFU v1.35-beta

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 26, 2008 09:00:00 UTC 2008 年 4 月 26 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 11, 2010 08:05:32 UTC 2010 年 10 月 11 日 (月) 17 時 5 分 32 秒 (日本時間)
403e62310110Ignacio SantosOctober 11, 2010 08:05:32 UTC 2010 年 10 月 11 日 (月) 17 時 5 分 32 秒 (日本時間)
2200Warut RoonguthaiMarch 10, 2013 13:54:36 UTC 2013 年 3 月 10 日 (日) 22 時 54 分 36 秒 (日本時間)
4511e632 / 3954Ignacio SantosOctober 11, 2010 08:05:32 UTC 2010 年 10 月 11 日 (月) 17 時 5 分 32 秒 (日本時間)

16×10190+119

c189

name 名前Wataru Sakai
date 日付September 29, 2008 14:07:22 UTC 2008 年 9 月 29 日 (月) 23 時 7 分 22 秒 (日本時間)
composite number 合成数
109066121336059986366734832992501704158145875937286980231765507839127471029311520109066121336059986366734832992501704158145875937286980231765507839127471029311520109066121336059986366734833<189>
prime factors 素因数
15893897701210748826466356818360065080329541721568770733123<59>
6862138122843942847791922085053418154936259828171101678155392075764498344425374075168875066509622240658600914959115020089323939771<130>
factorization results 素因数分解の結果
Number: 17779_190
N=109066121336059986366734832992501704158145875937286980231765507839127471029311520109066121336059986366734832992501704158145875937286980231765507839127471029311520109066121336059986366734833
  ( 189 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=15893897701210748826466356818360065080329541721568770733123 (pp59)
 r2=6862138122843942847791922085053418154936259828171101678155392075764498344425374075168875066509622240658600914959115020089323939771 (pp130)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 1211.20 hours.
Scaled time: 2426.02 units (timescale=2.003).
Factorization parameters were as follows:
n: 109066121336059986366734832992501704158145875937286980231765507839127471029311520109066121336059986366734832992501704158145875937286980231765507839127471029311520109066121336059986366734833
m: 200000000000000000000000000000000000000
c5: 1
c0: 22
skew: 1.86
type: snfsFactor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 20600001)
Primes: RFBsize:501962, AFBsize:502487, largePrimes:7199292 encountered
Relations: rels:7802974, finalFF:1170083
Max relations in full relation-set: 32
Initial matrix: 1004513 x 1170083 with sparse part having weight 143400992.
Pruned matrix : 885927 x 891013 with weight 123578297.
Total sieving time: 1199.45 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 11.33 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 1211.20 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 26, 2008 09:00:00 UTC 2008 年 4 月 26 日 (土) 18 時 0 分 0 秒 (日本時間)

16×10191+119

c149

name 名前Warut Roonguthai
date 日付March 12, 2013 00:53:14 UTC 2013 年 3 月 12 日 (火) 9 時 53 分 14 秒 (日本時間)
composite number 合成数
24262741627798545776317467133873690405918533880511306417805687532091921351265296489307192596256115286878022085820030988061609313074603097542971744923<149>
prime factors 素因数
3139735455286199040048204507599543<34>
32349980856025784484023629185845956548528485674804918769<56>
238876148545897746018096565971565596894399661358468828883469<60>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=967383313
Step 1 took 14632ms
Step 2 took 9470ms
********** Factor found in step 2: 3139735455286199040048204507599543
Found probable prime factor of 34 digits: 3139735455286199040048204507599543
Composite cofactor 7727638832420963619254781911345485115479200992594158995989957689808160262539505094604019682560158379392859511929661 has 115 digits

N = 7727638832420963619254781911345485115479200992594158995989957689808160262539505094604019682560158379392859511929661 (115 digits)
Divisors found:
r1=32349980856025784484023629185845956548528485674804918769 (pp56)
r2=238876148545897746018096565971565596894399661358468828883469 (pp60)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 5.51 hours.
Factorization parameters were as follows:
n: 7727638832420963619254781911345485115479200992594158995989957689808160262539505094604019682560158379392859511929661
Y0: -12370450971872669604139
Y1: 1678574988643
c0: -39769908623457159711386460
c1: 11108630064507095941414
c2: 118137041579579686
c3: -89949571695327
c4: -703614318
c5: 26676
skew: 22500.29  
type: gnfs
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 8460405
Relations: 729174 relations
Pruned matrix : 447513 x 447738
Polynomial selection time: 0.00 hours.
Total sieving time: 5.30 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.14 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: gnfs,114,5,61,2000,0.00016,0.25,250,15,50000,2800,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 5.51 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 26, 2008 09:00:00 UTC 2008 年 4 月 26 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 11, 2010 08:45:11 UTC 2010 年 10 月 11 日 (月) 17 時 45 分 11 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 11, 2010 08:45:11 UTC 2010 年 10 月 11 日 (月) 17 時 45 分 11 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 11, 2010 08:45:11 UTC 2010 年 10 月 11 日 (月) 17 時 45 分 11 秒 (日本時間)

16×10192+119

c169

name 名前Edwin Hall
date 日付December 20, 2020 14:22:37 UTC 2020 年 12 月 20 日 (日) 23 時 22 分 37 秒 (日本時間)
composite number 合成数
5431792038981754355805503000865616629469782570262803737775633320045751575442729252358951811873835289896252467349703081243593426361739782909984015263640793767760809061017<169>
prime factors 素因数
25175116074637359946274905049871081796164814485461254679<56>
215760357286058618633934738670088366541731748569242739157198199342600858451768841003483491723873367716674956924623<114>
factorization results 素因数分解の結果
p56 factor: 25175116074637359946274905049871081796164814485461254679
p114 factor: 215760357286058618633934738670088366541731748569242739157198199342600858451768841003483491723873367716674956924623


Msieve v. 1.54 (SVN 1032M)
random seeds: bd7e35f7 8906db5f
factoring 5431792038981754355805503000865616629469782570262803737775633320045751575442729252358951811873835289896252467349703081243593426361739782909984015263640793767760809061017 (169 digits)
searching for 15-digit factors
commencing number field sieve (169-digit input)
R0: -200000000000000000000000000000000000000
R1: 1
A0: 11
A1: 0
A2: 0
A3: 0
A4: 0
A5: 50
skew 1.00, size 1.774e-13, alpha 0.949, combined = 2.867e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 2067797 hash collisions in 34735712 relations
added 726088 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 35461800 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1157.5 MB
keeping 38990830 ideals with weight <= 200, target excess is 189739
commencing in-memory singleton removal
begin with 35461800 relations and 38990830 unique ideals
reduce to 12426202 relations and 11757309 ideals in 15 passes
max relations containing the same ideal: 101
removing 1539444 relations and 1315046 ideals in 224398 cliques
commencing in-memory singleton removal
begin with 10886758 relations and 11757309 unique ideals
reduce to 10712265 relations and 10263419 ideals in 10 passes
max relations containing the same ideal: 93
removing 1207195 relations and 982797 ideals in 224398 cliques
commencing in-memory singleton removal
begin with 9505070 relations and 10263419 unique ideals
reduce to 9376709 relations and 9149416 ideals in 8 passes
max relations containing the same ideal: 88
relations with 0 large ideals: 3902
relations with 1 large ideals: 9410
relations with 2 large ideals: 81685
relations with 3 large ideals: 396963
relations with 4 large ideals: 1168082
relations with 5 large ideals: 2168250
relations with 6 large ideals: 2650271
relations with 7+ large ideals: 2898146
commencing 2-way merge
reduce to 5708883 relation sets and 5481590 unique ideals
commencing full merge
memory use: 608.6 MB
found 2596704 cycles, need 2579790
weight of 2579790 cycles is about 232270348 (90.03/cycle)
distribution of cycle lengths:
1 relations: 218985
2 relations: 229394
3 relations: 239369
4 relations: 225463
5 relations: 214492
6 relations: 192397
7 relations: 175790
8 relations: 155439
9 relations: 138091
10+ relations: 790370
heaviest cycle: 28 relations
commencing cycle optimization
start with 19528439 relations
pruned 616618 relations
memory use: 579.3 MB
distribution of cycle lengths:
1 relations: 218985
2 relations: 235035
3 relations: 248548
4 relations: 232442
5 relations: 221481
6 relations: 197313
7 relations: 179990
8 relations: 157953
9 relations: 140125
10+ relations: 747918
heaviest cycle: 28 relations
RelProcTime: 661
elapsed time 00:11:04


Msieve v. 1.54 (SVN 1032M)
random seeds: 49f6e6f2 a977138b
factoring 5431792038981754355805503000865616629469782570262803737775633320045751575442729252358951811873835289896252467349703081243593426361739782909984015263640793767760809061017 (169 digits)
searching for 15-digit factors
commencing number field sieve (169-digit input)
R0: -200000000000000000000000000000000000000
R1: 1
A0: 11
A1: 0
A2: 0
A3: 0
A4: 0
A5: 50
skew 1.00, size 1.774e-13, alpha 0.949, combined = 2.867e-11 rroots = 1

commencing linear algebra
read 2579790 cycles
cycles contain 9130546 unique relations
read 9130546 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1136.6 MB
read 2579790 cycles
matrix is 2579610 x 2579790 (949.5 MB) with weight 278718132 (108.04/col)
sparse part has weight 220534026 (85.49/col)
filtering completed in 2 passes
matrix is 2578318 x 2578498 (949.4 MB) with weight 278670341 (108.07/col)
sparse part has weight 220516899 (85.52/col)
matrix starts at (0, 0)
matrix is 2578318 x 2578498 (949.4 MB) with weight 278670341 (108.07/col)
sparse part has weight 220516899 (85.52/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2578270 x 2578498 (904.8 MB) with weight 229971669 (89.19/col)
sparse part has weight 211391958 (81.98/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (8 threads)
memory use: 862.5 MB
linear algebra at 0.1%, ETA 2h21m
checkpointing every 1050000 dimensions
lanczos halted after 40775 iterations (dim = 2578265)
recovered 35 nontrivial dependencies
BLanczosTime: 8377
elapsed time 02:19:38


Msieve v. 1.54 (SVN 1032M)
random seeds: 31ec923a e14a9646
factoring 5431792038981754355805503000865616629469782570262803737775633320045751575442729252358951811873835289896252467349703081243593426361739782909984015263640793767760809061017 (169 digits)
searching for 15-digit factors
commencing number field sieve (169-digit input)
R0: -200000000000000000000000000000000000000
R1: 1
A0: 11
A1: 0
A2: 0
A3: 0
A4: 0
A5: 50
skew 1.00, size 1.774e-13, alpha 0.949, combined = 2.867e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1289751 cycles
cycles contain 4564924 unique relations
read 4564924 relations
multiplying 4564924 relations
multiply complete, coefficients have about 125.63 million bits
initial square root is modulo 1040692831
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 2
read 1288675 cycles
cycles contain 4559960 unique relations
read 4559960 relations
multiplying 4559960 relations
multiply complete, coefficients have about 125.49 million bits
initial square root is modulo 1017519311
GCD is 1, no factor found
reading relations for dependency 3
read 1289672 cycles
cycles contain 4565042 unique relations
read 4565042 relations
multiplying 4565042 relations
multiply complete, coefficients have about 125.63 million bits
initial square root is modulo 1041183131
GCD is 1, no factor found
reading relations for dependency 4
read 1288275 cycles
cycles contain 4558620 unique relations
read 4558620 relations
multiplying 4558620 relations
multiply complete, coefficients have about 125.46 million bits
initial square root is modulo 1011376601
sqrtTime: 1259
p56 factor: 25175116074637359946274905049871081796164814485461254679
p114 factor: 215760357286058618633934738670088366541731748569242739157198199342600858451768841003483491723873367716674956924623
elapsed time 00:21:01
software ソフトウェア
CADO-NFS/Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 26, 2008 09:00:00 UTC 2008 年 4 月 26 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 11, 2010 09:48:51 UTC 2010 年 10 月 11 日 (月) 18 時 48 分 51 秒 (日本時間)
403e62310110Ignacio SantosOctober 11, 2010 09:48:51 UTC 2010 年 10 月 11 日 (月) 18 時 48 分 51 秒 (日本時間)
2200Warut RoonguthaiMarch 13, 2013 09:12:43 UTC 2013 年 3 月 13 日 (水) 18 時 12 分 43 秒 (日本時間)
4511e62100 / 395432Ignacio SantosOctober 11, 2010 09:48:51 UTC 2010 年 10 月 11 日 (月) 18 時 48 分 51 秒 (日本時間)
2068Eric JeancolasOctober 12, 2020 13:49:56 UTC 2020 年 10 月 12 日 (月) 22 時 49 分 56 秒 (日本時間)

16×10193+119

c135

name 名前Erik Branger
date 日付November 11, 2011 06:05:12 UTC 2011 年 11 月 11 日 (金) 15 時 5 分 12 秒 (日本時間)
composite number 合成数
986673768513915917363314921607718421558314876934280279261747671286087669908468792132162037750488654624333218517931876247311876531214169<135>
prime factors 素因数
1109356934299071684697708225573655814150647114315145917988704333<64>
889410556699975883310363470541108057531928244906167336902593693158066493<72>
factorization results 素因数分解の結果
Number: 17779_193
N = 986673768513915917363314921607718421558314876934280279261747671286087669908468792132162037750488654624333218517931876247311876531214169 (135 digits)
Divisors found:
r1=1109356934299071684697708225573655814150647114315145917988704333 (pp64)
r2=889410556699975883310363470541108057531928244906167336902593693158066493 (pp72)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 219.81 hours.
Factorization parameters were as follows:
# Murphy_E = 3.898479e-11, selected by Jeff Gilchrist
n: 986673768513915917363314921607718421558314876934280279261747671286087669908468792132162037750488654624333218517931876247311876531214169
Y0: -107284011683762931485357735
Y1: 1175679317726221
c0: -1524451911437202574917379977743616
c1: 11540659319901638311584927916
c2: -48977014335594995907078
c3: -41688704214040380
c4: 203470145855
c5: 69420
skew: 659985.53
type: gnfs
# selected mechanically
rlim: 13400000
alim: 13400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [6700000, 16100000)
Relations: 21144072
Relations in full relation-set: 3007044 relations
Pruned matrix : 1872252 x 1872479
Polynomial selection time: 0.00 hours.
Total sieving time: 215.97 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 3.46 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,13400000,13400000,28,28,54,54,2.6,2.6,100000
total time: 219.81 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 26, 2008 09:00:00 UTC 2008 年 4 月 26 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiApril 20, 2009 13:07:08 UTC 2009 年 4 月 20 日 (月) 22 時 7 分 8 秒 (日本時間)
4511e64000Wataru SakaiAugust 11, 2010 14:25:18 UTC 2010 年 8 月 11 日 (水) 23 時 25 分 18 秒 (日本時間)

16×10194+119

c154

name 名前Warut Roonguthai
date 日付March 11, 2013 13:21:19 UTC 2013 年 3 月 11 日 (月) 22 時 21 分 19 秒 (日本時間)
composite number 合成数
3781267398546898535825433193666309262712082409668720593600911755912358453473447064636562259041830513753631322770577645486150786911547629546464938374265033<154>
prime factors 素因数
14455672446331207873343510046635467469311<41>
752145769663100348914907155310472739122517<42>
347773970901943016162033005219630198547043166745967181802298130167072859<72>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=214495786
Step 1 took 19828ms
Step 2 took 12199ms
********** Factor found in step 2: 14455672446331207873343510046635467469311
Found probable prime factor of 41 digits: 14455672446331207873343510046635467469311
Composite cofactor 261576721012834594933972925616437285960776474480527154400549278291709458717469472475717354285827943159970066466103 has 114 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3270754265
Step 1 took 13619ms
Step 2 took 9563ms
********** Factor found in step 2: 752145769663100348914907155310472739122517
Found probable prime factor of 42 digits: 752145769663100348914907155310472739122517
Probable prime cofactor 347773970901943016162033005219630198547043166745967181802298130167072859 has 72 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 26, 2008 09:00:00 UTC 2008 年 4 月 26 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 11, 2010 10:44:25 UTC 2010 年 10 月 11 日 (月) 19 時 44 分 25 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 11, 2010 10:44:25 UTC 2010 年 10 月 11 日 (月) 19 時 44 分 25 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 11, 2010 10:44:25 UTC 2010 年 10 月 11 日 (月) 19 時 44 分 25 秒 (日本時間)

16×10195+119

c142

name 名前Serge Batalov
date 日付August 9, 2008 07:09:36 UTC 2008 年 8 月 9 日 (土) 16 時 9 分 36 秒 (日本時間)
composite number 合成数
7106070517784355392107681911933490940791635844936559071970840018188830718569184001836646264644888711226484233527235452654672779371565092093143<142>
prime factors 素因数
73424827831293500485868707674581<32>
20303773842269115123939467873342342848136567<44>
4766612074547657425113602299458810889222950655299003162801405514909<67>
factorization results 素因数分解の結果
#ECM, then Msieve-1.36/gnfs
#
Using B1=2000000, B2=11413147210, polynomial Dickson(12), sigma=3622984911
Step 1 took 13465ms
Step 2 took 14018ms
********** Factor found in step 2: 73424827831293500485868707674581
Found probable prime factor of 32 digits: 73424827831293500485868707674581
Composite cofactor 96780213555444848209611889152187386372688573948470598229105258151036484021479960765765687805868153067786577403 has 110 digits

Number: 17779_195
N=96780213555444848209611889152187386372688573948470598229105258151036484021479960765765687805868153067786577403
  ( 110 digits)
Divisors found:
 r1=20303773842269115123939467873342342848136567
 r2=4766612074547657425113602299458810889222950655299003162801405514909
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.734).
Factorization parameters were as follows:
name: 17779_195
n: 96780213555444848209611889152187386372688573948470598229105258151036484021479960765765687805868153067786577403
skew: 39343.05
# norm 4.40e+15
c5: 29700
c4: -2720680614
c3: -229660812986110
c2: 3755159898497477197
c1: 103107695126468227504850
c0: -1036926091866752413602699423
# alpha -6.52
Y1: 416125022923
Y0: -1266510048212425943194
# Murphy_E 9.33e-10
# M 38482898344273848443470793235030589679953893757120088997777761815782974719049996096666657288907626213621790808
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 3100001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 401501 x 401746
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000

total time: 12.00 hours.
software ソフトウェア
GMP-ECM 6.2.1; Msieve-1.36/gnfs
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 26, 2008 09:00:00 UTC 2008 年 4 月 26 日 (土) 18 時 0 分 0 秒 (日本時間)

16×10196+119

c140

name 名前Serge Batalov
date 日付August 2, 2008 17:08:44 UTC 2008 年 8 月 3 日 (日) 2 時 8 分 44 秒 (日本時間)
composite number 合成数
12388862985963708159227773283811397983823648680335452375724925035372326426745772524660920974708274213526393373850745631865239218267703100817<140>
prime factors 素因数
4803801617306383518347006989561<31>
14715761835396161314812187666323650894319358275041849<53>
175252263317018383575140193534337967914768654073004843553<57>
factorization results 素因数分解の結果
# p31 by ECM, then gnfs-109
#
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1861467275
Step 1 took 18357ms
Step 2 took 16280ms
********** Factor found in step 2: 4803801617306383518347006989561
Found probable prime factor of 31 digits: 4803801617306383518347006989561
Composite cofactor 2578970568087377802067920642947795117825415241129120756448955601025122665487395350188350290690032130772849497 has 109 digits
#
Number: 17779_196
N=2578970568087377802067920642947795117825415241129120756448955601025122665487395350188350290690032130772849497
  ( 109 digits)
Divisors found:
 r1=14715761835396161314812187666323650894319358275041849
 r2=175252263317018383575140193534337967914768654073004843553
Version: 
Total time: 9.9 hours.
Scaled time: 26.00 units (timescale=2.730).
Factorization parameters were as follows:
name: 17779_196
n: 2578970568087377802067920642947795117825415241129120756448955601025122665487395350188350290690032130772849497
skew: 10496.23
# norm 9.28e+14
c5: 32760
c4: 4308693287
c3: -58377599439521
c2: -389718850414661740
c1: 805553711770832376579
c0: 4679507811317880353200740
# alpha -5.44
Y1: 436103059381
Y0: -601467569956831207027
# Murphy_E 1.15e-09
# M 861515667644573035464815968412957729213295246580867792217844068622041425221742808803575573276982749499854001
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1600000, 3100001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 376711 x 376951
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,26,26,49,49,2.6,2.6,100000

total time: 9.90 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Opteron(tm) Processor 252 stepping 01
Memory: 2050040k/2097124k available (2458k kernel code, 0k reserved, 1225k data, 204k init)
Calibrating delay loop... 5128.19 BogoMIPS
software ソフトウェア
GMP-ECM 6.2.1; Msieve-1.36/gnfs+pol51
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 26, 2008 09:00:00 UTC 2008 年 4 月 26 日 (土) 18 時 0 分 0 秒 (日本時間)

16×10197+119

c147

name 名前Eric Jeancolas
date 日付August 21, 2021 09:43:45 UTC 2021 年 8 月 21 日 (土) 18 時 43 分 45 秒 (日本時間)
composite number 合成数
154920465216761132133689686279530702021577631117863872602371733229832968380816395629616095577328513830956796477624158496339451209952471829295416659<147>
prime factors 素因数
1589546038307276734176326270519469400411307<43>
97462081300732544171566166985191546775417934401955253834680741987098944769394361504613655073938825746937<104>
factorization results 素因数分解の結果
154920465216761132133689686279530702021577631117863872602371733229832968380816395629616095577328513830956796477624158496339451209952471829295416659=1589546038307276734176326270519469400411307*97462081300732544171566166985191546775417934401955253834680741987098944769394361504613655073938825746937

cado polynomial
n: 154920465216761132133689686279530702021577631117863872602371733229832968380816395629616095577328513830956796477624158496339451209952471829295416659
skew: 1.38
type: snfs
c0: 55
c6: 8
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 8*x^6+55
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14500000
tasks.lim1 = 14500000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 97462081300732544171566166985191546775417934401955253834680741987098944769394361504613655073938825746937 1589546038307276734176326270519469400411307
Info:Square Root: Total cpu/real time for sqrt: 696.92/213.951
Info:Filtering - Singleton removal: Total cpu/real time for purge: 423.46/497.995
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27994860
Info:Lattice Sieving: Average J: 1893.07 for 3205679 special-q, max bucket fill -bkmult 1.0,1s:1.214610
Info:Lattice Sieving: Total time: 703448s
Info:Generate Factor Base: Total cpu/real time for makefb: 9.41/3.68315
Info:Linear Algebra: Total cpu/real time for bwc: 110952/28390.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 71083.86, WCT time 18128.9, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (78848 iterations)
Info:Linear Algebra: Lingen CPU time 538.09, WCT time 136.49
Info:Linear Algebra: Mksol: CPU time 38420.76,  WCT time 9815.31, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39424 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 181.47/46.6507
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 118.97/139.339
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 138.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 544.87/556.255
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 453.9s
Info:Filtering - Merging: Merged matrix has 2517089 rows and total weight 430697608 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 700.96/194.223
Info:Filtering - Merging: Total cpu/real time for replay: 100.02/86.3867
Info:Quadratic Characters: Total cpu/real time for characters: 86.97/37.8007
Info:Square Root: Total cpu/real time for sqrt: 696.92/213.951
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.43133e+06/381887
Info:root: Cleaning up computation data in /tmp/cado.qvql33sn
97462081300732544171566166985191546775417934401955253834680741987098944769394361504613655073938825746937 1589546038307276734176326270519469400411307
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 26, 2008 09:00:00 UTC 2008 年 4 月 26 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 11, 2010 11:43:33 UTC 2010 年 10 月 11 日 (月) 20 時 43 分 33 秒 (日本時間)
403e62210110Ignacio SantosOctober 11, 2010 11:43:33 UTC 2010 年 10 月 11 日 (月) 20 時 43 分 33 秒 (日本時間)
2100Warut RoonguthaiMarch 10, 2013 12:44:55 UTC 2013 年 3 月 10 日 (日) 21 時 44 分 55 秒 (日本時間)
4511e632 / 3977Ignacio SantosOctober 11, 2010 11:43:33 UTC 2010 年 10 月 11 日 (月) 20 時 43 分 33 秒 (日本時間)

16×10199+119

c177

name 名前Eric Jeancolas
date 日付June 19, 2021 07:51:02 UTC 2021 年 6 月 19 日 (土) 16 時 51 分 2 秒 (日本時間)
composite number 合成数
513490245714128629234435267784938458256043430042306949910219063166955956455260764291200742704499931591392016432498938890327094515504222019278735833091289617902062686159739837601<177>
prime factors 素因数
13220357005992515454902230649774753602733611095799208331264487<62>
38840875891730766436284526235911943738035877648311483916486545290690639085657027464413467722347155284498367445511223<116>
factorization results 素因数分解の結果
513490245714128629234435267784938458256043430042306949910219063166955956455260764291200742704499931591392016432498938890327094515504222019278735833091289617902062686159739837601=13220357005992515454902230649774753602733611095799208331264487*38840875891730766436284526235911943738035877648311483916486545290690639085657027464413467722347155284498367445511223

cado polynomial
n: 513490245714128629234435267784938458256043430042306949910219063166955956455260764291200742704499931591392016432498938890327094515504222019278735833091289617902062686159739837601
skew: 1.47
type: snfs
c0: 55
c5: 8
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 8*x^5+55
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15800000
tasks.lim1 = 15800000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 13220357005992515454902230649774753602733611095799208331264487 38840875891730766436284526235911943738035877648311483916486545290690639085657027464413467722347155284498367445511223
Info:Square Root: Total cpu/real time for sqrt: 1689.24/519.798
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 46927514
Info:Lattice Sieving: Average J: 1893.73 for 3859696 special-q, max bucket fill -bkmult 1.0,1s:1.126580
Info:Lattice Sieving: Total time: 1.0027e+06s
Info:Square Root: Total cpu/real time for sqrt: 1689.24/519.798
Info:Quadratic Characters: Total cpu/real time for characters: 123.66/53.3924
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 198.66/240.392
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 239.8s
Info:Filtering - Merging: Merged matrix has 3365234 rows and total weight 575258643 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 971.15/268.076
Info:Filtering - Merging: Total cpu/real time for replay: 137.61/120.688
Info:Linear Algebra: Total cpu/real time for bwc: 209308/53591.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 134847.27, WCT time 34422.11, iteration CPU time 0.31, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (105472 iterations)
Info:Linear Algebra: Lingen CPU time 739.92, WCT time 187.65
Info:Linear Algebra: Mksol: CPU time 72395.82,  WCT time 18498.34, iteration CPU time 0.33, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (52736 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 805.96/707.518
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 563.8s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.6/2.99729
Info:Filtering - Singleton removal: Total cpu/real time for purge: 559.04/616.143
Info:Generate Free Relations: Total cpu/real time for freerel: 234.82/61.0082
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.14756e+06/223631
Info:root: Cleaning up computation data in /tmp/cado.rlcgr_xl
13220357005992515454902230649774753602733611095799208331264487 38840875891730766436284526235911943738035877648311483916486545290690639085657027464413467722347155284498367445511223
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
3 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 26, 2008 09:00:00 UTC 2008 年 4 月 26 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 11, 2010 12:51:18 UTC 2010 年 10 月 11 日 (月) 21 時 51 分 18 秒 (日本時間)
403e62310110Ignacio SantosOctober 11, 2010 12:51:18 UTC 2010 年 10 月 11 日 (月) 21 時 51 分 18 秒 (日本時間)
1200Warut RoonguthaiMarch 13, 2013 14:22:39 UTC 2013 年 3 月 13 日 (水) 23 時 22 分 39 秒 (日本時間)
1000Dmitry DomanovMarch 14, 2013 11:38:30 UTC 2013 年 3 月 14 日 (木) 20 時 38 分 30 秒 (日本時間)
4511e632 / 3954Ignacio SantosOctober 11, 2010 12:51:18 UTC 2010 年 10 月 11 日 (月) 21 時 51 分 18 秒 (日本時間)

16×10200+119

c166

name 名前Robert Backstrom
date 日付October 27, 2012 02:28:24 UTC 2012 年 10 月 27 日 (土) 11 時 28 分 24 秒 (日本時間)
composite number 合成数
6020879377655313089845000591568868581133134200204816426423349148046808690357978012720242065907877906526506122463015398037293795375225836284753393876846766176486353043<166>
prime factors 素因数
512024486942008919658612052522695166425523<42>
11758967649407025972047983747228623132897917748401986890097618864614306849241020084129759035359718997986857136728267501774241<125>
factorization results 素因数分解の結果
Number: n
N=6020879377655313089845000591568868581133134200204816426423349148046808690357978012720242065907877906526506122463015398037293795375225836284753393876846766176486353043
  ( 166 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sat Oct 27 13:22:58 2012  prp42 factor: 512024486942008919658612052522695166425523
Sat Oct 27 13:22:58 2012  prp125 factor: 11758967649407025972047983747228623132897917748401986890097618864614306849241020084129759035359718997986857136728267501774241
Sat Oct 27 13:22:58 2012  elapsed time 04:56:42 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
name: KA_17779_200
n: 6020879377655313089845000591568868581133134200204816426423349148046808690357978012720242065907877906526506122463015398037293795375225836284753393876846766176486353043
m: 10000000000000000000000000000000000000000
#  c166, diff: 201.2
skew: 0.928
deg: 5
c5: 16
c0: 11
# Murphy_E = 1.691e-11
type: snfs
lss: 1
rlim: 15800000
alim: 15800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15800000/15800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 30700000)
Primes: RFBsize:1019012, AFBsize:1019263,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10105595 hash collisions in 69953735 relations (62844196 unique)
Msieve: matrix is 1764361 x 1764590 (496.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,15800000,15800000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 26, 2008 09:00:00 UTC 2008 年 4 月 26 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 11, 2010 13:34:13 UTC 2010 年 10 月 11 日 (月) 22 時 34 分 13 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 11, 2010 13:34:13 UTC 2010 年 10 月 11 日 (月) 22 時 34 分 13 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 11, 2010 13:34:13 UTC 2010 年 10 月 11 日 (月) 22 時 34 分 13 秒 (日本時間)

16×10202+119

c162

name 名前Bob Backstrom
date 日付November 13, 2023 19:03:00 UTC 2023 年 11 月 14 日 (火) 4 時 3 分 0 秒 (日本時間)
composite number 合成数
214111539082139875391812424145692976277711430675080696692987305432049565741993804359832694314212569023797728221765918521915715150216802761859135235447806707216807<162>
prime factors 素因数
2594020133049506019599113207687662121972919007337438582829184115350186121<73>
82540430721496496269019039521652191100512264234614213575035156887625447986493014563822767<89>
factorization results 素因数分解の結果
Number: n
N=214111539082139875391812424145692976277711430675080696692987305432049565741993804359832694314212569023797728221765918521915715150216802761859135235447806707216807  ( 162 digits)
SNFS difficulty: 203 digits.
Divisors found:

Mon Nov 13 16:13:11 2023  prp73 factor: 2594020133049506019599113207687662121972919007337438582829184115350186121
Mon Nov 13 16:13:11 2023  prp89 factor: 82540430721496496269019039521652191100512264234614213575035156887625447986493014563822767
Mon Nov 13 16:13:11 2023  elapsed time 02:22:11 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.102).
Factorization parameters were as follows:
#
# N = 16x10^202+11 = 17(201)9
#
n: 214111539082139875391812424145692976277711430675080696692987305432049565741993804359832694314212569023797728221765918521915715150216802761859135235447806707216807
m: 20000000000000000000000000000000000000000
deg: 5
c5: 50
c0: 11
skew: 0.74
# Murphy_E = 1.227e-11
type: snfs
lss: 1
rlim: 17100000
alim: 17100000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17100000/17100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3555572 hash collisions in 20250072 relations (17123527 unique)
Msieve: matrix is 2156091 x 2156316 (606.8 MB)

Sieving start time: 2023/11/12 20:53:26
Sieving end time  : 2023/11/13 13:50:32

Total sieving time: 16hrs 57min 6secs.

Total relation processing time: 2hrs 14min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 23sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17100000,17100000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 11:23:08 UTC 2013 年 3 月 8 日 (金) 20 時 23 分 8 秒 (日本時間)
403e62200Warut RoonguthaiMarch 8, 2013 11:23:08 UTC 2013 年 3 月 8 日 (金) 20 時 23 分 8 秒 (日本時間)
4511e640241000Ignacio SantosOctober 17, 2021 17:51:44 UTC 2021 年 10 月 18 日 (月) 2 時 51 分 44 秒 (日本時間)
1000Ignacio SantosOctober 18, 2021 13:20:29 UTC 2021 年 10 月 18 日 (月) 22 時 20 分 29 秒 (日本時間)
2024Ignacio SantosNovember 18, 2021 13:16:45 UTC 2021 年 11 月 18 日 (木) 22 時 16 分 45 秒 (日本時間)

16×10203+119

c201

name 名前Robert Backstrom
date 日付January 6, 2014 16:11:34 UTC 2014 年 1 月 7 日 (火) 1 時 11 分 34 秒 (日本時間)
composite number 合成数
357701766152470377822490498546836575005589090096132349653476414039794321484462329532752067963335568969371786273194723898949251061927118265146434160518667560921082047842611222892913033758104180639391907<201>
prime factors 素因数
10251907442907780202432477138152042088067021146930729<53>
17498016378776384915993690140256807789932990049650402003414241<62>
1994011180896564871405689854573825319081738198035748940660530708913154355100519460799563<88>
factorization results 素因数分解の結果
Number: n
N=357701766152470377822490498546836575005589090096132349653476414039794321484462329532752067963335568969371786273194723898949251061927118265146434160518667560921082047842611222892913033758104180639391907
  ( 201 digits)
SNFS difficulty: 204 digits.
Divisors found:

Tue Jan  7 02:42:00 2014  prp53 factor: 10251907442907780202432477138152042088067021146930729
Tue Jan  7 02:42:00 2014  prp62 factor: 17498016378776384915993690140256807789932990049650402003414241
Tue Jan  7 02:42:00 2014  prp88 factor: 1994011180896564871405689854573825319081738198035748940660530708913154355100519460799563
Tue Jan  7 02:42:00 2014  elapsed time 07:52:53 (Msieve 1.44 - dependency 4)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.728).
Factorization parameters were as follows:
#
#  16*10^203+11 - 17(202)9
#
#  c201, diff: 204.2
#
skew: 0.466
n: 357701766152470377822490498546836575005589090096132349653476414039794321484462329532752067963335568969371786273194723898949251061927118265146434160518667560921082047842611222892913033758104180639391907
m: 20000000000000000000000000000000000000000
deg: 5
c5: 500
c0: 11
# Murphy_E = 1.285e-11
type: snfs
lss: 1
rlim: 17700000
alim: 17700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 17700000/17700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 20850000)
Primes: RFBsize:1133364, AFBsize:1131519,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7591818 hash collisions in 56371977 relations (51002447 unique)
Msieve: matrix is 2053316 x 2053542 (585.7 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 5hrs 41min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 32min 18sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17700000,17700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:13:25 UTC 2013 年 3 月 8 日 (金) 22 時 13 分 25 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 11:38:49 UTC 2013 年 3 月 14 日 (木) 20 時 38 分 49 秒 (日本時間)
4511e61850 / 41941000Dmitry DomanovMarch 21, 2013 20:50:45 UTC 2013 年 3 月 22 日 (金) 5 時 50 分 45 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:36 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 36 秒 (日本時間)

16×10204+119

c154

name 名前Warut Roonguthai
date 日付March 8, 2013 05:20:18 UTC 2013 年 3 月 8 日 (金) 14 時 20 分 18 秒 (日本時間)
composite number 合成数
1570327796963113073845275649260846933896791549152970235110313585630066418008594425414962870470205858276550239265089719611782529794434962939444401566204411<154>
prime factors 素因数
69273191786110732958508333697067580797<38>
22668621965791442250114087498126579973973754562250656592072770564298986295249860563799486691481298926922020450088663<116>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3417955798
Step 1 took 17877ms
Step 2 took 11389ms
********** Factor found in step 2: 69273191786110732958508333697067580797
Found probable prime factor of 38 digits: 69273191786110732958508333697067580797
Probable prime cofactor 22668621965791442250114087498126579973973754562250656592072770564298986295249860563799486691481298926922020450088663 has 116 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)

16×10205+119

c200

name 名前Bob Backstrom
date 日付July 29, 2017 03:30:47 UTC 2017 年 7 月 29 日 (土) 12 時 30 分 47 秒 (日本時間)
composite number 合成数
27498793920085411253915785287354662429102523581504792438244153885313186341967782756778151933242552939904651369431343847153453753989258627359890637296579820319443176921912190507519459263716355440473103<200>
prime factors 素因数
20360091966685580156299266765844078822510826989718159733883786796484893039113<77>
1350622284274580344848013334597893041362709102404854261127018045007613844517644216582051798550295114582664016691038775526231<124>
factorization results 素因数分解の結果
Number: n
N=27498793920085411253915785287354662429102523581504792438244153885313186341967782756778151933242552939904651369431343847153453753989258627359890637296579820319443176921912190507519459263716355440473103
  ( 200 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sat Jul 29 13:20:53 2017  prp77 factor: 20360091966685580156299266765844078822510826989718159733883786796484893039113
Sat Jul 29 13:20:53 2017  prp124 factor: 1350622284274580344848013334597893041362709102404854261127018045007613844517644216582051798550295114582664016691038775526231
Sat Jul 29 13:20:53 2017  elapsed time 05:12:11 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=4.386).
Factorization parameters were as follows:
#
# N = 16*10^205+11 17(204)9
#
n: 27498793920085411253915785287354662429102523581504792438244153885313186341967782756778151933242552939904651369431343847153453753989258627359890637296579820319443176921912190507519459263716355440473103
m: 100000000000000000000000000000000000000000
deg: 5
c5: 16
c0: 11
skew: 0.93
# Murphy_E = 1.042e-11
type: snfs
lss: 1
rlim: 19100000
alim: 19100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19100000/19100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 21550000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 6461181 hash collisions in 50430473 relations (45920747 unique)
Msieve: matrix is 2533161 x 2533386 (718.7 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 4hrs 57min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 37sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19100000,19100000,29,29,56,56,2.6,2.6,100000total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.050273] smpboot: CPU0: Intel(R) Core(TM) i7-6700K CPU @ 4.00GHz (family: 0x6, model: 0x5e, stepping: 0x3)
[    0.000000] Memory: 16339156K/16705272K available (7836K kernel code, 1309K rwdata, 3448K rodata, 1528K init, 1544K bss, 366116K reserved, 0K cma-reserved)
[    0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 8016.72 BogoMIPS (lpj=4008360)
[    0.074633] smpboot: Total of 8 processors activated (64133.76 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:13:32 UTC 2013 年 3 月 8 日 (金) 22 時 13 分 32 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 11:39:02 UTC 2013 年 3 月 14 日 (木) 20 時 39 分 2 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 21, 2013 20:51:07 UTC 2013 年 3 月 22 日 (金) 5 時 51 分 7 秒 (日本時間)

16×10207+119

c187

name 名前Dmitry Domanov
date 日付March 14, 2013 11:09:41 UTC 2013 年 3 月 14 日 (木) 20 時 9 分 41 秒 (日本時間)
composite number 合成数
6699945571934011885263664692241896352700065547529057305910320297391187160134684282365001000776669039339114916710894972911713956696421985096814146620602256342740673458037327807289776022851<187>
prime factors 素因数
237992716186339869163141773723971196771661<42>
composite cofactor 合成数の残り
28151893382687358194773430284866347777230502568482232228438511996011559325148176018337150340725131620669985368530391539213050529271172678223299791<146>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2490548053
Step 1 took 79388ms
********** Factor found in step 1: 237992716186339869163141773723971196771661
Found probable prime factor of 42 digits: 237992716186339869163141773723971196771661

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:14:03 UTC 2013 年 3 月 8 日 (金) 22 時 14 分 3 秒 (日本時間)
403e60--
4511e62000 / 44151000Dmitry DomanovMarch 13, 2013 14:21:37 UTC 2013 年 3 月 13 日 (水) 23 時 21 分 37 秒 (日本時間)
1000Dmitry DomanovMay 17, 2013 23:51:01 UTC 2013 年 5 月 18 日 (土) 8 時 51 分 1 秒 (日本時間)

16×10208+119

c155

name 名前Bob Backstrom
date 日付October 13, 2021 10:26:10 UTC 2021 年 10 月 13 日 (水) 19 時 26 分 10 秒 (日本時間)
composite number 合成数
30201678741135142518315109888095075469591779517992480420786591014303983465114043451750289002749463652248457690931800295610003996184824582091295484490597049<155>
prime factors 素因数
4152320807642699019018149545230767214504911<43>
7273445415283517684386454906908290974379071821761406667043272191730523551282428223403317421897326465606544794359<112>
factorization results 素因数分解の結果
#
# N = 16x10^208+11 = 17(207)9
#
n: 30201678741135142518315109888095075469591779517992480420786591014303983465114043451750289002749463652248457690931800295610003996184824582091295484490597049
m: 200000000000000000000000000000000000000000
deg: 5
c5: 500
c0: 11
skew: 0.47
# Murphy_E = 7.906e-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 30201678741135142518315109888095075469591779517992480420786591014303983465114043451750289002749463652248457690931800295610003996184824582091295484490597049 (155 digits)
Using B1=35720000, B2=192388936756, polynomial Dickson(12), sigma=1:1393778802
Step 1 took 84752ms
Step 2 took 29220ms
********** Factor found in step 2: 4152320807642699019018149545230767214504911
Found prime factor of 43 digits: 4152320807642699019018149545230767214504911
Prime cofactor 7273445415283517684386454906908290974379071821761406667043272191730523551282428223403317421897326465606544794359 has 112 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 08:45:47 UTC 2013 年 3 月 8 日 (金) 17 時 45 分 47 秒 (日本時間)
403e62100Warut RoonguthaiMarch 8, 2013 08:45:47 UTC 2013 年 3 月 8 日 (金) 17 時 45 分 47 秒 (日本時間)

16×10210+119

c210

name 名前Warut Roonguthai
date 日付March 7, 2013 05:33:42 UTC 2013 年 3 月 7 日 (木) 14 時 33 分 42 秒 (日本時間)
composite number 合成数
592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593<210>
prime factors 素因数
71367109646048751263254297083659803<35>
composite cofactor 合成数の残り
8303441116385488280936049962442772581195268832771073605098070483367340624322330122707747265948983897926029567774728596428672214947814045631553337642717926195737014809166572931<175>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3191314127
Step 1 took 12215ms
Step 2 took 7208ms
********** Factor found in step 2: 71367109646048751263254297083659803
Found probable prime factor of 35 digits: 71367109646048751263254297083659803
Composite cofactor 8303441116385488280936049962442772581195268832771073605098070483367340624322330122707747265948983897926029567774728596428672214947814045631553337642717926195737014809166572931 has 175 digits
software ソフトウェア
GMP-ECM 6.3

c175

name 名前Warut Roonguthai
date 日付March 7, 2013 20:27:50 UTC 2013 年 3 月 8 日 (金) 5 時 27 分 50 秒 (日本時間)
composite number 合成数
8303441116385488280936049962442772581195268832771073605098070483367340624322330122707747265948983897926029567774728596428672214947814045631553337642717926195737014809166572931<175>
prime factors 素因数
8837353648887693933356987426329080179<37>
939584568671255325036499530829396837486741594750989833219491641407067319759756667689368655460628253590164178707168889388366566589780103089<138>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=270830067
Step 1 took 10639ms
Step 2 took 6365ms
********** Factor found in step 2: 8837353648887693933356987426329080179
Found probable prime factor of 37 digits: 8837353648887693933356987426329080179
Probable prime cofactor 939584568671255325036499530829396837486741594750989833219491641407067319759756667689368655460628253590164178707168889388366566589780103089 has 138 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)

16×10211+119

c170

composite cofactor 合成数の残り
20472616249801360498366716526287487458184633377572269514896756349738302501288598019356718347069692984020203011325958860834420670459246955204189078870678977328815943509041<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:14:15 UTC 2013 年 3 月 8 日 (金) 22 時 14 分 15 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 11:39:35 UTC 2013 年 3 月 14 日 (木) 20 時 39 分 35 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 21, 2013 20:51:27 UTC 2013 年 3 月 22 日 (金) 5 時 51 分 27 秒 (日本時間)

16×10212+119

c179

composite cofactor 合成数の残り
11786827993700837947783345695711727788497754542433960715229440899664182321082552504269956243160356647283172300818919752362884843290408627853483486866618994233925278649627467224229<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:14:37 UTC 2013 年 3 月 8 日 (金) 22 時 14 分 37 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 11:39:46 UTC 2013 年 3 月 14 日 (木) 20 時 39 分 46 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 21, 2013 20:51:39 UTC 2013 年 3 月 22 日 (金) 5 時 51 分 39 秒 (日本時間)

16×10213+119

c205

name 名前Bob Backstrom
date 日付July 27, 2020 21:04:18 UTC 2020 年 7 月 28 日 (火) 6 時 4 分 18 秒 (日本時間)
composite number 合成数
3357101767011543178941899521167363923170358465919649459087680683447573334839530612120732295997405972500282831102946362652843259647612148768921585742437137767421085255529496955310228335981248401157990206831<205>
prime factors 素因数
1660897199511697275621769329737799297769683047961002471<55>
2021258009224489614117921746663594908732585261217171411275521785903894770279930946341405174478220002552736552149568441055929618072235150289754721679161<151>
factorization results 素因数分解の結果
Number: n
N=3357101767011543178941899521167363923170358465919649459087680683447573334839530612120732295997405972500282831102946362652843259647612148768921585742437137767421085255529496955310228335981248401157990206831  ( 205 digits)
SNFS difficulty: 214 digits.
Divisors found:

Tue Jul 28 06:55:36 2020  p55 factor: 1660897199511697275621769329737799297769683047961002471
Tue Jul 28 06:55:36 2020  p151 factor: 2021258009224489614117921746663594908732585261217171411275521785903894770279930946341405174478220002552736552149568441055929618072235150289754721679161
Tue Jul 28 06:55:36 2020  elapsed time 04:15:58 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.120).
Factorization parameters were as follows:
#
# N = 16x10^213+11 = 17(212)9
#
n: 3357101767011543178941899521167363923170358465919649459087680683447573334839530612120732295997405972500282831102946362652843259647612148768921585742437137767421085255529496955310228335981248401157990206831
m: 2000000000000000000000000000000000000000000
deg: 5
c5: 500
c0: 11
skew: 0.47
# Murphy_E = 4.288e-12
type: snfs
lss: 1
rlim: 26000000
alim: 26000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 26000000/26000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 53000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8742147 hash collisions in 59463725 relations (52887903 unique)
Msieve: matrix is 3100593 x 3100818 (1092.2 MB)

Sieving start time: 2020/07/27 05:35:21
Sieving end time  : 2020/07/28 02:38:47

Total sieving time: 21hrs 3min 26secs.

Total relation processing time: 3hrs 52min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 5sec.

Prototype def-par.txt line would be:
snfs,214,5,0,0,0,0,0,0,0,0,26000000,26000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.154206] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283136K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420324K reserved, 0K cma-reserved)
[    0.188728] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.50 BogoMIPS (lpj=11977004)
[    0.186225] smpboot: Total of 16 processors activated (95816.03 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:14:45 UTC 2013 年 3 月 8 日 (金) 22 時 14 分 45 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 11:39:59 UTC 2013 年 3 月 14 日 (木) 20 時 39 分 59 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 21, 2013 20:51:46 UTC 2013 年 3 月 22 日 (金) 5 時 51 分 46 秒 (日本時間)

16×10214+119

c147

name 名前Warut Roonguthai
date 日付March 6, 2013 20:05:06 UTC 2013 年 3 月 7 日 (木) 5 時 5 分 6 秒 (日本時間)
composite number 合成数
353261986636370998535220777311383587890461275455120631448606409760443676134271708014069731848021608393623644172252065233490421629723641514969047231<147>
prime factors 素因数
1008186762440420033624274757117<31>
350393399117107952975026434306947771581798770853295510996013990586812661963421961038013697033982115137388999938113643<117>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1659973024
Step 1 took 6225ms
Step 2 took 3198ms
********** Factor found in step 2: 1008186762440420033624274757117
Found probable prime factor of 31 digits: 1008186762440420033624274757117
Probable prime cofactor 350393399117107952975026434306947771581798770853295510996013990586812661963421961038013697033982115137388999938113643 has 117 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)

16×10216+119

c216

name 名前Warut Roonguthai
date 日付March 7, 2013 09:02:21 UTC 2013 年 3 月 7 日 (木) 18 時 2 分 21 秒 (日本時間)
composite number 合成数
592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593<216>
prime factors 素因数
1946412657762886834332674438483231<34>
composite cofactor 合成数の残り
304453729392455780139126625874326819715365019871354422405800625978510306776385657534573067501775239041235238239438260398942145768290523366986722939362663261674455261528393713059685903<183>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4274003096
Step 1 took 14133ms
Step 2 took 7785ms
********** Factor found in step 2: 1946412657762886834332674438483231
Found probable prime factor of 34 digits: 1946412657762886834332674438483231
Composite cofactor 304453729392455780139126625874326819715365019871354422405800625978510306776385657534573067501775239041235238239438260398942145768290523366986722939362663261674455261528393713059685903 has 183 digits
software ソフトウェア
GMP-ECM 6.3

c183

name 名前Dmitry Domanov
date 日付March 18, 2013 05:16:33 UTC 2013 年 3 月 18 日 (月) 14 時 16 分 33 秒 (日本時間)
composite number 合成数
304453729392455780139126625874326819715365019871354422405800625978510306776385657534573067501775239041235238239438260398942145768290523366986722939362663261674455261528393713059685903<183>
prime factors 素因数
160344091560340556289162953307344097721<39>
1898752404468137223491852137558214309158688686113204087714479291180075381573448669236471298657901344181308675049841792273019137432531973359335943<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=911561756
Step 1 took 22856ms
Step 2 took 8955ms
********** Factor found in step 2: 160344091560340556289162953307344097721
Found probable prime factor of 39 digits: 160344091560340556289162953307344097721

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:14:52 UTC 2013 年 3 月 8 日 (金) 22 時 14 分 52 秒 (日本時間)
403e61000 / 1964Dmitry DomanovMarch 14, 2013 11:40:13 UTC 2013 年 3 月 14 日 (木) 20 時 40 分 13 秒 (日本時間)

16×10217+119

c207

name 名前Warut Roonguthai
date 日付March 6, 2013 20:06:28 UTC 2013 年 3 月 7 日 (木) 5 時 6 分 28 秒 (日本時間)
composite number 合成数
403140555810749083164544492084514580423834824680404465551929209073967632423789617496248723781347117886872892867914475208000254308581176786392130595684361689173528279911927879426413439488563608012029271194393<207>
prime factors 素因数
266297640406651708929950736667<30>
1513872053823422638578228909682169718069953243349394975898717620130315465365522915282854367063351094340687265668458395238835570522971218458697745723520046530077580248689737993179<178>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3815287018
Step 1 took 12262ms
Step 2 took 7192ms
********** Factor found in step 2: 266297640406651708929950736667
Found probable prime factor of 30 digits: 266297640406651708929950736667
Probable prime cofactor 1513872053823422638578228909682169718069953243349394975898717620130315465365522915282854367063351094340687265668458395238835570522971218458697745723520046530077580248689737993179 has 178 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)

16×10221+119

c187

name 名前Erik Branger
date 日付April 29, 2021 16:01:07 UTC 2021 年 4 月 30 日 (金) 1 時 1 分 7 秒 (日本時間)
composite number 合成数
1581687677167913200474080033906397664617679086721003064108086572245522456267184128745742112451054700549928472822926035495494118375804967347913921871788295923581158998332612081826972139823<187>
prime factors 素因数
5834043783017302042630708258630039968662211866935363<52>
271113439664637221009906933941780673731909026780864958464489753201758173158207720829028971377449629118002786232716979855568688134304421<135>
factorization results 素因数分解の結果
Number: 17779_221
N = 1581687677167913200474080033906397664617679086721003064108086572245522456267184128745742112451054700549928472822926035495494118375804967347913921871788295923581158998332612081826972139823 (187 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=5834043783017302042630708258630039968662211866935363 (pp52)
r2=271113439664637221009906933941780673731909026780864958464489753201758173158207720829028971377449629118002786232716979855568688134304421 (pp135)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 65.37 hours.
Factorization parameters were as follows:
n: 1581687677167913200474080033906397664617679086721003064108086572245522456267184128745742112451054700549928472822926035495494118375804967347913921871788295923581158998332612081826972139823
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 160
c0: 11
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: 6974246 relations
Pruned matrix : 6108374 x 6108599
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 31.01 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 33.79 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 65.37 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-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
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:15:15 UTC 2013 年 3 月 8 日 (金) 22 時 15 分 15 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 11:40:27 UTC 2013 年 3 月 14 日 (木) 20 時 40 分 27 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 21, 2013 20:52:02 UTC 2013 年 3 月 22 日 (金) 5 時 52 分 2 秒 (日本時間)

16×10222+119

c215

name 名前Bob Backstrom
date 日付August 7, 2019 21:31:51 UTC 2019 年 8 月 8 日 (木) 6 時 31 分 51 秒 (日本時間)
composite number 合成数
13805487672894114210751128619541201348066870755434326807202337759848107744921640358277910750077935644996150387218777351825849647241445565676971187069715359775310027873702404633198973754232936167658971038296603138791<215>
prime factors 素因数
59924684795907704798346383057851270055315603081423944504622864585260716185597578095720664330204226487635873<107>
230380647306081446894413368645783707560502783040724810763934531575276263180777505841330715789858942979276167<108>
factorization results 素因数分解の結果
Number: n
N=13805487672894114210751128619541201348066870755434326807202337759848107744921640358277910750077935644996150387218777351825849647241445565676971187069715359775310027873702404633198973754232936167658971038296603138791
  ( 215 digits)
SNFS difficulty: 223 digits.
Divisors found:

Thu Aug  8 07:20:29 2019  p107 factor: 59924684795907704798346383057851270055315603081423944504622864585260716185597578095720664330204226487635873
Thu Aug  8 07:20:29 2019  p108 factor: 230380647306081446894413368645783707560502783040724810763934531575276263180777505841330715789858942979276167
Thu Aug  8 07:20:29 2019  elapsed time 09:14:31 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.118).
Factorization parameters were as follows:
#
# N = 16x10^222+11 = 17(221)9
#
n: 13805487672894114210751128619541201348066870755434326807202337759848107744921640358277910750077935644996150387218777351825849647241445565676971187069715359775310027873702404633198973754232936167658971038296603138791
m: 10000000000000000000000000000000000000
deg: 6
c6: 16
c0: 11
skew: 0.94
# Murphy_E = 2.158e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 87300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13467046 hash collisions in 72221808 relations (59736532 unique)
Msieve: matrix is 4501539 x 4501764 (1565.7 MB)

Sieving start time: 2019/08/06 04:07:46
Sieving end time  : 2019/08/07 22:03:48

Total sieving time: 41hrs 56min 2secs.

Total relation processing time: 8hrs 44min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 14sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284112K/16703460K available (12300K kernel code, 2473K rwdata, 4276K rodata, 2408K init, 2416K bss, 419348K reserved, 0K cma-reserved)
[    0.080568] x86/mm: Memory block size: 128MB
[    0.032000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.78 BogoMIPS (lpj=11977576)
[    0.078219] smpboot: Total of 16 processors activated (95820.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:15:23 UTC 2013 年 3 月 8 日 (金) 22 時 15 分 23 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 11:40:41 UTC 2013 年 3 月 14 日 (木) 20 時 40 分 41 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 21, 2013 20:52:13 UTC 2013 年 3 月 22 日 (金) 5 時 52 分 13 秒 (日本時間)

16×10223+119

c142

name 名前Erik Branger
date 日付October 6, 2016 07:39:24 UTC 2016 年 10 月 6 日 (木) 16 時 39 分 24 秒 (日本時間)
composite number 合成数
1359076306110611126216338914963437457610273086013804846499376335324413809104150401755818745336333081349792810119642331484430677813292866438737<142>
prime factors 素因数
2140992218796810908035413669360703825004690321591<49>
634788064234246120152785517807102331577416831550186251401494108527007575203682872598891063607<93>
factorization results 素因数分解の結果
Number: 17779_223
N = 1359076306110611126216338914963437457610273086013804846499376335324413809104150401755818745336333081349792810119642331484430677813292866438737 (142 digits)
Divisors found:
r1=2140992218796810908035413669360703825004690321591 (pp49)
r2=634788064234246120152785517807102331577416831550186251401494108527007575203682872598891063607 (pp93)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 230.22 hours.
Factorization parameters were as follows:
17779_223.poly
# Murphy_E = 1.777e-11, selected by Erik Branger
# expecting poly E from 1.75e-011 to > 2.02e-011
n: 1359076306110611126216338914963437457610273086013804846499376335324413809104150401755818745336333081349792810119642331484430677813292866438737
Y0: -4216269528513079485708322217
Y1: 410330289981557
c0: 182165632032866443615966306727155500
c1: 202225344201192271367146823870
c2: -521886621530384826689210
c3: -124150592750514931
c4: 44422567392
c5: 1020
skew: 3441359.34
type: gnfs
# selected mechanically
rlim: 19600000
alim: 19600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19600000/19600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23285973
Relations: 3967458 relations
Pruned matrix : 2459838 x 2460066
Polynomial selection time: 0.00 hours.
Total sieving time: 227.20 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.73 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: gnfs,141,5,65,2000,1e-05,0.28,250,20,50000,3600,19600000,19600000,28,28,56,56,2.6,2.6,100000
total time: 230.22 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 03:32:26 UTC 2013 年 3 月 8 日 (金) 12 時 32 分 26 秒 (日本時間)
403e62800Warut RoonguthaiMarch 8, 2013 03:32:26 UTC 2013 年 3 月 8 日 (金) 12 時 32 分 26 秒 (日本時間)
4511e64002850Serge BatalovNovember 8, 2013 17:09:34 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 34 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:44 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 44 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:33 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 33 秒 (日本時間)
952Ignacio SantosDecember 16, 2015 19:47:50 UTC 2015 年 12 月 17 日 (木) 4 時 47 分 50 秒 (日本時間)

16×10225+119

c221

name 名前Serge Batalov
date 日付November 8, 2013 16:56:02 UTC 2013 年 11 月 9 日 (土) 1 時 56 分 2 秒 (日本時間)
composite number 合成数
17917715132966244144546687406421933075094263979457339600054201088277222888537253729404426347552160148537858452290163958292038599237825192531448389701345284449327021818177745973833416762694421207407631378846569485459214241<221>
prime factors 素因数
170171862842296802471298483472798849302811039<45>
composite cofactor 合成数の残り
105291878655469089401214349183077348499931225372690381321720843929975470985693038841556214341372199930601435949712155229866571821778493981426845855044942690519705709453457315519<177>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3127568671
Step 1 took 73456ms
Step 2 took 25532ms
********** Factor found in step 2: 170171862842296802471298483472798849302811039
Found probable prime factor of 45 digits: 170171862842296802471298483472798849302811039
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:15:38 UTC 2013 年 3 月 8 日 (金) 22 時 15 分 38 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 11:41:01 UTC 2013 年 3 月 14 日 (木) 20 時 41 分 1 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 21, 2013 20:52:37 UTC 2013 年 3 月 22 日 (金) 5 時 52 分 37 秒 (日本時間)

16×10226+119

c205

composite cofactor 合成数の残り
2963973701715457928062570650086040896828620904222525317407277698013187435439913505967759598728285606208676550787333892187382106550330543344059691033392232786098776356717114414405553988042978538558689034191<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:15:44 UTC 2013 年 3 月 8 日 (金) 22 時 15 分 44 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 11:41:13 UTC 2013 年 3 月 14 日 (木) 20 時 41 分 13 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 21, 2013 20:52:51 UTC 2013 年 3 月 22 日 (金) 5 時 52 分 51 秒 (日本時間)

16×10227+119

c187

name 名前Warut Roonguthai
date 日付March 6, 2013 23:54:04 UTC 2013 年 3 月 7 日 (木) 8 時 54 分 4 秒 (日本時間)
composite number 合成数
9937985192037832763602094497044726597389000869147816544687951450832710370539578691383082447846120714168718016507117074756178506053244853733302208215935634637923076155148933564403624719179<187>
prime factors 素因数
655027611210103443856762020868141<33>
composite cofactor 合成数の残り
15171856914059418750603147812882687586803636984358649064687234207524225956668435624859300918710974426590957743446569759065421737540913781766767862382994519<155>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3107525234
Step 1 took 12854ms
Step 2 took 7987ms
********** Factor found in step 2: 655027611210103443856762020868141
Found probable prime factor of 33 digits: 655027611210103443856762020868141
Composite cofactor 15171856914059418750603147812882687586803636984358649064687234207524225956668435624859300918710974426590957743446569759065421737540913781766767862382994519 has 155 digits
software ソフトウェア
GMP-ECM 6.3

c155

name 名前Warut Roonguthai
date 日付March 7, 2013 15:35:32 UTC 2013 年 3 月 8 日 (金) 0 時 35 分 32 秒 (日本時間)
composite number 合成数
15171856914059418750603147812882687586803636984358649064687234207524225956668435624859300918710974426590957743446569759065421737540913781766767862382994519<155>
prime factors 素因数
296045189573464469836378039404217817<36>
51248449386793628634407858372040783291867860889431092376562348765859786113731666479779695224529398497114803197396479407<119>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3054692268
Step 1 took 10031ms
Step 2 took 6770ms
********** Factor found in step 2: 296045189573464469836378039404217817
Found probable prime factor of 36 digits: 296045189573464469836378039404217817
Probable prime cofactor 51248449386793628634407858372040783291867860889431092376562348765859786113731666479779695224529398497114803197396479407 has 119 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)

16×10228+119

c199

name 名前Warut Roonguthai
date 日付March 7, 2013 10:39:32 UTC 2013 年 3 月 7 日 (木) 19 時 39 分 32 秒 (日本時間)
composite number 合成数
2282153285628995356091616261260733109861624431957088696681064851823176625049899063990507728973058746191047246051416940424374569524546855842181314663080256527680028729109849621539831286828123613836797<199>
prime factors 素因数
365170658850654653207920559301556513<36>
composite cofactor 合成数の残り
6249552723682372780408255210453679882915263886794826609850157427875424364025335044402459413884825102571894219663677986484200408676597985549286673646296846095979869<163>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1550465193
Step 1 took 12199ms
Step 2 took 7083ms
********** Factor found in step 2: 365170658850654653207920559301556513
Found probable prime factor of 36 digits: 365170658850654653207920559301556513
Composite cofactor 6249552723682372780408255210453679882915263886794826609850157427875424364025335044402459413884825102571894219663677986484200408676597985549286673646296846095979869 has 163 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:16:07 UTC 2013 年 3 月 8 日 (金) 22 時 16 分 7 秒 (日本時間)
403e635001100Warut RoonguthaiMarch 8, 2013 14:53:04 UTC 2013 年 3 月 8 日 (金) 23 時 53 分 4 秒 (日本時間)
2400Warut RoonguthaiMarch 12, 2013 21:50:23 UTC 2013 年 3 月 13 日 (水) 6 時 50 分 23 秒 (日本時間)

16×10229+119

c214

composite cofactor 合成数の残り
1594948373716158092306299262611794688917766629751292470599163010183204350644143334232427707847792847931753545615615772179894126022086065053078277581120382884939825368739674520768488659681480961194633995348324491653<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:16:14 UTC 2013 年 3 月 8 日 (金) 22 時 16 分 14 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 11:41:36 UTC 2013 年 3 月 14 日 (木) 20 時 41 分 36 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 21, 2013 20:53:09 UTC 2013 年 3 月 22 日 (金) 5 時 53 分 9 秒 (日本時間)

16×10231+119

c149

name 名前Warut Roonguthai
date 日付March 8, 2013 12:29:48 UTC 2013 年 3 月 8 日 (金) 21 時 29 分 48 秒 (日本時間)
composite number 合成数
68363568220648170766439445246019130532563962652499134868347247918262847873611011888758142187343622259954553533630655010093758744119731243175896043933<149>
prime factors 素因数
52277669673901211731479426664401723353951023<44>
345205062617252979042591757325851806843665363<45>
3788186447567160572195215879472140618188021262531055279634017<61>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1686989423
Step 1 took 19875ms
Step 2 took 12308ms
********** Factor found in step 2: 52277669673901211731479426664401723353951023
Found probable prime factor of 44 digits: 52277669673901211731479426664401723353951023
Composite cofactor 1307701139838250784418207657415267543397962816114061092530056968027135873403167955657429509750201459453171 has 106 digits

N = 1307701139838250784418207657415267543397962816114061092530056968027135873403167955657429509750201459453171 (106 digits)
Divisors found:
r1=345205062617252979042591757325851806843665363 (pp45)
r2=3788186447567160572195215879472140618188021262531055279634017 (pp61)
Version: Msieve v. 1.48
Total time: 2.94 hours.
Factorization parameters were as follows:
n: 1307701139838250784418207657415267543397962816114061092530056968027135873403167955657429509750201459453171
Y0: -231190730708253699571
Y1: 50000721757
c0: -835772962348392676545960
c1: 4754861686001774753230
c2: -1990665657609871
c3: -10716557983553
c4: -184997937
c5: 1980
skew: 33888.00  
type: gnfs
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [0, 0)
Total raw relations: 4760084
Relations: 515238 relations
Pruned matrix : 298907 x 299133
Polynomial selection time: 0.00 hours.
Total sieving time: 2.80 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.11 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: gnfs,105,5,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 2.94 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)

16×10232+119

c231

composite cofactor 合成数の残り
199750312109862671660424469413233458177278401997503121098626716604244694132334581772784019975031210986267166042446941323345817727840199750312109862671660424469413233458177278401997503121098626716604244694132334581772784019975031211<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:16:21 UTC 2013 年 3 月 8 日 (金) 22 時 16 分 21 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 11:41:48 UTC 2013 年 3 月 14 日 (木) 20 時 41 分 48 秒 (日本時間)
4511e639501000Dmitry DomanovMarch 21, 2013 20:53:22 UTC 2013 年 3 月 22 日 (金) 5 時 53 分 22 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:17 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 17 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:04 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 4 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:26 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 26 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:03 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 3 秒 (日本時間)
5043e670 / 6621KTakahashiSeptember 3, 2014 13:56:52 UTC 2014 年 9 月 3 日 (水) 22 時 56 分 52 秒 (日本時間)

16×10233+119

c202

name 名前Dmitry Domanov
date 日付March 25, 2013 05:50:15 UTC 2013 年 3 月 25 日 (月) 14 時 50 分 15 秒 (日本時間)
composite number 合成数
4298071018357746024048646877940935588860129004017910902815100709950446187426862374625591631715676084623362307726745374071510330421464334467269822579382443941267711771093185495790934872043314822622771417<202>
prime factors 素因数
19028495639799300177656356747725451249921<41>
225875502704904274677244126943203773455422883857401321649907413724383399428107485854503891378663779786005042943556613475531314290901406662048801960008538879727577<162>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=745667903
Step 1 took 97994ms
Step 2 took 33659ms
********** Factor found in step 2: 19028495639799300177656356747725451249921
Found probable prime factor of 41 digits: 19028495639799300177656356747725451249921

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:16:37 UTC 2013 年 3 月 8 日 (金) 22 時 16 分 37 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 11:42:03 UTC 2013 年 3 月 14 日 (木) 20 時 42 分 3 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 21, 2013 20:53:42 UTC 2013 年 3 月 22 日 (金) 5 時 53 分 42 秒 (日本時間)

16×10235+119

c234

name 名前matsui
date 日付May 19, 2015 01:49:34 UTC 2015 年 5 月 19 日 (火) 10 時 49 分 34 秒 (日本時間)
composite number 合成数
935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883041<234>
prime factors 素因数
179183630488897433589723108015892920717636859<45>
1525746695552502875034973165416217842563327510797423<52>
460648124342406376675974746640253023870783700558122698356983745956727<69>
7429743066701927346451343748368812188512413938555137081559604904926219<70>
factorization results 素因数分解の結果
N=935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883041
  ( 234 digits)
SNFS difficulty: 236 digits.
Divisors found:
p45 factor: 179183630488897433589723108015892920717636859
p52 factor: 1525746695552502875034973165416217842563327510797423
p69 factor: 460648124342406376675974746640253023870783700558122698356983745956727
p70 factor: 7429743066701927346451343748368812188512413938555137081559604904926219
Version: Msieve v. 1.53 (SVN unknown)
Total time:
Scaled time: 90.94 units (timescale=1.830).
Factorization parameters were as follows:
n: 935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883041
m: 2000000000000000000000000000000000000000
deg: 6
c6: 5
c0: 22
skew: 1.28
# Murphy_E = 9.951e-13
type: snfs
lss: 1
rlim: 61000000
alim: 61000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
qintsize: 160000
Factor base limits: 61000000/61000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved rational special-q in [30500000, 58500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 7357048 x 7357275
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,236.000,6,0,0,0,0,0,0,0,0,61000000,61000000,30,30,60,60,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:16:45 UTC 2013 年 3 月 8 日 (金) 22 時 16 分 45 秒 (日本時間)
403e62000Dmitry DomanovMarch 11, 2013 14:05:37 UTC 2013 年 3 月 11 日 (月) 23 時 5 分 37 秒 (日本時間)
4511e639501000Dmitry DomanovMarch 21, 2013 20:53:53 UTC 2013 年 3 月 22 日 (金) 5 時 53 分 53 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:49 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 49 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:29 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 29 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:26 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 26 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:13 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 13 秒 (日本時間)
5043e67 / 6583KTakahashiMay 25, 2014 07:17:45 UTC 2014 年 5 月 25 日 (日) 16 時 17 分 45 秒 (日本時間)

16×10236+119

c218

composite cofactor 合成数の残り
26307138157935236140272173400536511881950217251532444710166195552051709720429547347854717500827693084363354788062779106486355026212414134319096792567285194141718612208888503920301429402581020121152662614344264524822401<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:17:06 UTC 2013 年 3 月 8 日 (金) 22 時 17 分 6 秒 (日本時間)
403e62000Dmitry DomanovMarch 11, 2013 14:05:25 UTC 2013 年 3 月 11 日 (月) 23 時 5 分 25 秒 (日本時間)
4511e61000 / 3973Dmitry DomanovMarch 21, 2013 20:54:07 UTC 2013 年 3 月 22 日 (金) 5 時 54 分 7 秒 (日本時間)

16×10237+119

c218

composite cofactor 合成数の残り
18700292942101720311584065996269758587136724689679468048181121043499315547418414479270762069280275967507023974744005799312558171417800054597560693943531000069203570277785048807091087696708062689895499699280267751353073<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:17:00 UTC 2013 年 3 月 8 日 (金) 22 時 17 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 11:42:37 UTC 2013 年 3 月 14 日 (木) 20 時 42 分 37 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 21, 2013 20:54:17 UTC 2013 年 3 月 22 日 (金) 5 時 54 分 17 秒 (日本時間)

16×10240+119

c181

name 名前Warut Roonguthai
date 日付March 7, 2013 12:52:31 UTC 2013 年 3 月 7 日 (木) 21 時 52 分 31 秒 (日本時間)
composite number 合成数
2598819798924159445728489063404538265243884721356126034774704580878729120324755874240151213025402216378165258944839404006455392438835103568476259651301854269250324347825664346851389<181>
prime factors 素因数
112223629994716409756700185403628721449<39>
composite cofactor 合成数の残り
23157509688882049511139384683954470034349637755942898495555898040242133163186732604685785167196551013068905296963572271204681341812759990307061<143>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=658561788
Step 1 took 8658ms
Step 2 took 5195ms
********** Factor found in step 2: 112223629994716409756700185403628721449
Found probable prime factor of 39 digits: 112223629994716409756700185403628721449
Composite cofactor 23157509688882049511139384683954470034349637755942898495555898040242133163186732604685785167196551013068905296963572271204681341812759990307061 has 143 digits
software ソフトウェア
GMP-ECM 6.3

c143

name 名前Serge Batalov
date 日付January 5, 2014 07:44:54 UTC 2014 年 1 月 5 日 (日) 16 時 44 分 54 秒 (日本時間)
composite number 合成数
23157509688882049511139384683954470034349637755942898495555898040242133163186732604685785167196551013068905296963572271204681341812759990307061<143>
prime factors 素因数
2586159101098515962796014068624674686794873<43>
8954402565196199783675251511719139166097063755997609931459484499530765199507439866979682818986744157<100>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=4052129194
Step 1 took 36164ms
Step 2 took 21918ms
********** Factor found in step 2: 2586159101098515962796014068624674686794873
Found probable prime factor of 43 digits: 2586159101098515962796014068624674686794873
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 03:34:10 UTC 2013 年 3 月 8 日 (金) 12 時 34 分 10 秒 (日本時間)
403e62800Warut RoonguthaiMarch 8, 2013 03:34:10 UTC 2013 年 3 月 8 日 (金) 12 時 34 分 10 秒 (日本時間)
4511e6850 / 3796Serge BatalovNovember 8, 2013 17:09:43 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 43 秒 (日本時間)

16×10241+119

c213

composite cofactor 合成数の残り
492262361061521062622554454519347559440702756622616642867090478182125433342759877375212378245719548951575277570065528097044888952876198319864264002924171080782858521345570566739999243520921983955615916011118211731<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:17:24 UTC 2013 年 3 月 8 日 (金) 22 時 17 分 24 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 11:42:55 UTC 2013 年 3 月 14 日 (木) 20 時 42 分 55 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 21, 2013 20:54:38 UTC 2013 年 3 月 22 日 (金) 5 時 54 分 38 秒 (日本時間)

16×10242+119

c239

composite cofactor 合成数の残り
13760955010277713273301167100996809178556991855234753291878456364871722097513567441580445682930395369438639041549483534157270514573711415572240713505517282899433220665514186684555908180027693921958183897962518598790756078471845946108659941<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:17:36 UTC 2013 年 3 月 8 日 (金) 22 時 17 分 36 秒 (日本時間)
403e62000Dmitry DomanovMarch 11, 2013 14:05:04 UTC 2013 年 3 月 11 日 (月) 23 時 5 分 4 秒 (日本時間)
4511e60--
5043e61140 / 7469500Dmitry DomanovMarch 15, 2013 10:57:40 UTC 2013 年 3 月 15 日 (金) 19 時 57 分 40 秒 (日本時間)
640Dmitry DomanovMarch 19, 2013 14:18:32 UTC 2013 年 3 月 19 日 (火) 23 時 18 分 32 秒 (日本時間)

16×10243+119

c222

name 名前Warut Roonguthai
date 日付March 6, 2013 22:05:30 UTC 2013 年 3 月 7 日 (木) 7 時 5 分 30 秒 (日本時間)
composite number 合成数
308407102180175961215791533301716241131976544008104483441279319217674412260567145298264345985258906610267691835907249050940809049940490305969959476725247387960788992481135075369853675942788620712019112903275867678945782487<222>
prime factors 素因数
101996959204530333201022628125733<33>
composite cofactor 合成数の残り
3023689182358268203385625117381536686029019385055812445983430377211430840984954255667895090585658925968687820559341496685256286248047282799895398921524864146719976584597931552578180762123339<190>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4084117864
Step 1 took 11482ms
Step 2 took 6614ms
********** Factor found in step 2: 101996959204530333201022628125733
Found probable prime factor of 33 digits: 101996959204530333201022628125733
Composite cofactor 3023689182358268203385625117381536686029019385055812445983430377211430840984954255667895090585658925968687820559341496685256286248047282799895398921524864146719976584597931552578180762123339 has 190 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:17:44 UTC 2013 年 3 月 8 日 (金) 22 時 17 分 44 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 11:43:13 UTC 2013 年 3 月 14 日 (木) 20 時 43 分 13 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 21, 2013 20:54:54 UTC 2013 年 3 月 22 日 (金) 5 時 54 分 54 秒 (日本時間)

16×10245+119

c199

name 名前Dmitry Domanov
date 日付March 25, 2013 07:48:13 UTC 2013 年 3 月 25 日 (月) 16 時 48 分 13 秒 (日本時間)
composite number 合成数
9974121679476477645480641426853712152076135736674920362907421839139540637203656684887634730733718866298177721614612763722973839923629525166230952115798654528096407326777270683275861029506175991772719<199>
prime factors 素因数
105718765853507385382830962827336561970867311<45>
composite cofactor 合成数の残り
94345801324406688209404057425336980242113072462138248674819646409009228838034666246402190794028927142207646998905678809054527231269299571502504393997873729<155>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3523089098
Step 1 took 98069ms
Step 2 took 32584ms
********** Factor found in step 2: 105718765853507385382830962827336561970867311
Found probable prime factor of 45 digits: 105718765853507385382830962827336561970867311

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:17:55 UTC 2013 年 3 月 8 日 (金) 22 時 17 分 55 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 11:43:30 UTC 2013 年 3 月 14 日 (木) 20 時 43 分 30 秒 (日本時間)
4511e642141000Dmitry DomanovMarch 21, 2013 20:55:08 UTC 2013 年 3 月 22 日 (金) 5 時 55 分 8 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:02 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 2 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:57 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 57 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:49 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 49 秒 (日本時間)
1064Ignacio SantosJanuary 7, 2016 16:09:58 UTC 2016 年 1 月 8 日 (金) 1 時 9 分 58 秒 (日本時間)

16×10246+119

c218

name 名前Warut Roonguthai
date 日付March 6, 2013 19:40:11 UTC 2013 年 3 月 7 日 (木) 4 時 40 分 11 秒 (日本時間)
composite number 合成数
47075885796163898790319125230337028275175339652548157440696166314727680555082392133103154324997812931897534888825890707260593117316999305100469488503462166896145674165872409416771926329589975097366637357512669529444303<218>
prime factors 素因数
711236403187766508641972559125711<33>
composite cofactor 合成数の残り
66188802464510324621790812277291558178859081453053133863282684280340511217014376880851434275311688706740761125196894560047915243125074330373015441627483909774515319412990572174617353473<185>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2299715042
Step 1 took 11466ms
Step 2 took 6318ms
********** Factor found in step 2: 711236403187766508641972559125711
Found probable prime factor of 33 digits: 711236403187766508641972559125711
Composite cofactor 66188802464510324621790812277291558178859081453053133863282684280340511217014376880851434275311688706740761125196894560047915243125074330373015441627483909774515319412990572174617353473 has 185 digits
software ソフトウェア
GMP-ECM 6.3

c185

name 名前Dmitry Domanov
date 日付March 18, 2013 05:20:41 UTC 2013 年 3 月 18 日 (月) 14 時 20 分 41 秒 (日本時間)
composite number 合成数
66188802464510324621790812277291558178859081453053133863282684280340511217014376880851434275311688706740761125196894560047915243125074330373015441627483909774515319412990572174617353473<185>
prime factors 素因数
301863104637916220293625741103427291<36>
composite cofactor 合成数の残り
219267613191428514502752818980379505554695993638247784873246212817789938585543590693586114411497728774121839374535267969951693045120709358615004267603<150>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2375471200
Step 1 took 23025ms
********** Factor found in step 1: 301863104637916220293625741103427291
Found probable prime factor of 36 digits: 301863104637916220293625741103427291

c150

name 名前ebina
date 日付October 3, 2022 03:12:27 UTC 2022 年 10 月 3 日 (月) 12 時 12 分 27 秒 (日本時間)
composite number 合成数
219267613191428514502752818980379505554695993638247784873246212817789938585543590693586114411497728774121839374535267969951693045120709358615004267603<150>
prime factors 素因数
985261463255858012316720488462097964593632929300867764911766229<63>
222547639757313757585451163976249646930621096074064550902166639138130762801947106576007<87>
factorization results 素因数分解の結果
Number: 17779_246
N = 219267613191428514502752818980379505554695993638247784873246212817789938585543590693586114411497728774121839374535267969951693045120709358615004267603 (150 digits)
Divisors found:
r1=985261463255858012316720488462097964593632929300867764911766229 (pp63)
r2=222547639757313757585451163976249646930621096074064550902166639138130762801947106576007 (pp87)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 123.10 hours.
Factorization parameters were as follows:
n: 219267613191428514502752818980379505554695993638247784873246212817789938585543590693586114411497728774121839374535267969951693045120709358615004267603
# norm 1.648487e-14 alpha -7.589961 e 5.008e-12 rroots 5
skew: 16435336.68
c0: 32097261978490445211977114421189037195
c1: 96250079791711970724037365427301
c2: 41747655038244811638057663
c3: -6109643481258879893
c4: -124009708546
c5: 504
Y0: -212671349769252955939162748508
Y1: 1959240122828789
type: gnfs
Factor base limits: 20800000/20800000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 45643912
Relations: 6782982 relations
Pruned matrix : 4126704 x 4126932
Polynomial selection time: 0.69 hours.
Total sieving time: 113.73 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 8.10 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: gnfs,149,5,65,2000,1e-05,0.28,250,20,50000,3600,20800000,20800000,29,29,58,58,2.6,2.6,100000
total time: 123.10 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:18:10 UTC 2013 年 3 月 8 日 (金) 22 時 18 分 10 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 11:43:44 UTC 2013 年 3 月 14 日 (木) 20 時 43 分 44 秒 (日本時間)
4511e641981000Dmitry DomanovMarch 21, 2013 20:55:20 UTC 2013 年 3 月 22 日 (金) 5 時 55 分 20 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:01 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 1 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:04 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 4 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:05 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 5 秒 (日本時間)
1048Ignacio SantosJanuary 6, 2016 13:28:48 UTC 2016 年 1 月 6 日 (水) 22 時 28 分 48 秒 (日本時間)
5043e66568ebinaAugust 23, 2022 20:29:41 UTC 2022 年 8 月 24 日 (水) 5 時 29 分 41 秒 (日本時間)

16×10247+119

c162

name 名前Dmitry Domanov
date 日付March 25, 2013 05:46:44 UTC 2013 年 3 月 25 日 (月) 14 時 46 分 44 秒 (日本時間)
composite number 合成数
456640977609899469333438010214767634797236524971168639271566298115753941556668505347305733490580046339256074729748828579147029860141733388816399538382410746665167<162>
prime factors 素因数
65591699422104147583859716629980681827501<41>
15400294672351689952377624433211934986291276961064637<53>
452060922750457129958813202463038065585017808471496035135889216021191<69>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=63851358
Step 1 took 65299ms
Step 2 took 22229ms
********** Factor found in step 2: 65591699422104147583859716629980681827501
Found probable prime factor of 41 digits: 65591699422104147583859716629980681827501
Composite cofactor 6961871420212253808463015767078960875170772751947733604406429886893974357770783796356905172778808212386729497336512722667 has 121 digits

Fri Mar 22 17:20:54 2013  commencing relation filtering
Fri Mar 22 17:20:54 2013  estimated available RAM is 48157.8 MB
Fri Mar 22 17:20:54 2013  commencing duplicate removal, pass 1
Fri Mar 22 17:23:10 2013  found 1131797 hash collisions in 11283161 relations
Fri Mar 22 17:23:30 2013  added 118 free relations
Fri Mar 22 17:23:30 2013  commencing duplicate removal, pass 2
Fri Mar 22 17:23:34 2013  found 823981 duplicates and 10459298 unique relations
Fri Mar 22 17:23:34 2013  memory use: 49.3 MB
Fri Mar 22 17:23:34 2013  reading ideals above 720000
Fri Mar 22 17:23:34 2013  commencing singleton removal, initial pass
Fri Mar 22 17:25:54 2013  memory use: 344.5 MB
Fri Mar 22 17:25:54 2013  reading all ideals from disk
Fri Mar 22 17:25:55 2013  memory use: 299.9 MB
Fri Mar 22 17:25:55 2013  commencing in-memory singleton removal
Fri Mar 22 17:25:56 2013  begin with 10459298 relations and 11148209 unique ideals
Fri Mar 22 17:26:03 2013  reduce to 4272676 relations and 3918238 ideals in 17 passes
Fri Mar 22 17:26:03 2013  max relations containing the same ideal: 90
Fri Mar 22 17:26:04 2013  removing 828948 relations and 719214 ideals in 109734 cliques
Fri Mar 22 17:26:05 2013  commencing in-memory singleton removal
Fri Mar 22 17:26:05 2013  begin with 3443728 relations and 3918238 unique ideals
Fri Mar 22 17:26:07 2013  reduce to 3329901 relations and 3081501 ideals in 11 passes
Fri Mar 22 17:26:07 2013  max relations containing the same ideal: 67
Fri Mar 22 17:26:09 2013  removing 615619 relations and 505885 ideals in 109734 cliques
Fri Mar 22 17:26:09 2013  commencing in-memory singleton removal
Fri Mar 22 17:26:09 2013  begin with 2714282 relations and 3081501 unique ideals
Fri Mar 22 17:26:10 2013  reduce to 2626745 relations and 2485170 ideals in 9 passes
Fri Mar 22 17:26:10 2013  max relations containing the same ideal: 54
Fri Mar 22 17:26:12 2013  relations with 0 large ideals: 524
Fri Mar 22 17:26:12 2013  relations with 1 large ideals: 3291
Fri Mar 22 17:26:12 2013  relations with 2 large ideals: 40208
Fri Mar 22 17:26:12 2013  relations with 3 large ideals: 206784
Fri Mar 22 17:26:12 2013  relations with 4 large ideals: 540708
Fri Mar 22 17:26:12 2013  relations with 5 large ideals: 782497
Fri Mar 22 17:26:12 2013  relations with 6 large ideals: 650558
Fri Mar 22 17:26:12 2013  relations with 7+ large ideals: 402175
Fri Mar 22 17:26:12 2013  commencing 2-way merge
Fri Mar 22 17:26:13 2013  reduce to 1540257 relation sets and 1398682 unique ideals
Fri Mar 22 17:26:13 2013  commencing full merge
Fri Mar 22 17:26:33 2013  memory use: 153.0 MB
Fri Mar 22 17:26:33 2013  found 751461 cycles, need 728882
Fri Mar 22 17:26:33 2013  weight of 728882 cycles is about 51097166 (70.10/cycle)
Fri Mar 22 17:26:33 2013  distribution of cycle lengths:
Fri Mar 22 17:26:33 2013  1 relations: 86695
Fri Mar 22 17:26:33 2013  2 relations: 79572
Fri Mar 22 17:26:33 2013  3 relations: 81956
Fri Mar 22 17:26:33 2013  4 relations: 74188
Fri Mar 22 17:26:33 2013  5 relations: 68802
Fri Mar 22 17:26:33 2013  6 relations: 59367
Fri Mar 22 17:26:33 2013  7 relations: 51887
Fri Mar 22 17:26:33 2013  8 relations: 45339
Fri Mar 22 17:26:33 2013  9 relations: 38981
Fri Mar 22 17:26:33 2013  10+ relations: 142095
Fri Mar 22 17:26:33 2013  heaviest cycle: 20 relations
Fri Mar 22 17:26:34 2013  commencing cycle optimization
Fri Mar 22 17:26:35 2013  start with 4342730 relations
Fri Mar 22 17:26:40 2013  pruned 99820 relations
Fri Mar 22 17:26:40 2013  memory use: 146.0 MB
Fri Mar 22 17:26:40 2013  distribution of cycle lengths:
Fri Mar 22 17:26:40 2013  1 relations: 86695
Fri Mar 22 17:26:40 2013  2 relations: 81457
Fri Mar 22 17:26:40 2013  3 relations: 84679
Fri Mar 22 17:26:40 2013  4 relations: 75789
Fri Mar 22 17:26:40 2013  5 relations: 70402
Fri Mar 22 17:26:40 2013  6 relations: 60251
Fri Mar 22 17:26:40 2013  7 relations: 52373
Fri Mar 22 17:26:40 2013  8 relations: 45418
Fri Mar 22 17:26:40 2013  9 relations: 38887
Fri Mar 22 17:26:40 2013  10+ relations: 132931
Fri Mar 22 17:26:40 2013  heaviest cycle: 20 relations
Fri Mar 22 17:26:41 2013  RelProcTime: 347
Fri Mar 22 17:26:41 2013  
Fri Mar 22 17:26:41 2013  commencing linear algebra
Fri Mar 22 17:26:42 2013  read 728882 cycles
Fri Mar 22 17:26:43 2013  cycles contain 2459007 unique relations
Fri Mar 22 17:27:13 2013  read 2459007 relations
Fri Mar 22 17:27:16 2013  using 20 quadratic characters above 134216900
Fri Mar 22 17:27:29 2013  building initial matrix
Fri Mar 22 17:27:58 2013  memory use: 318.1 MB
Fri Mar 22 17:27:59 2013  read 728882 cycles
Fri Mar 22 17:27:59 2013  matrix is 728678 x 728882 (218.3 MB) with weight 69733086 (95.67/col)
Fri Mar 22 17:27:59 2013  sparse part has weight 49203852 (67.51/col)
Fri Mar 22 17:28:10 2013  filtering completed in 3 passes
Fri Mar 22 17:28:10 2013  matrix is 725741 x 725941 (217.9 MB) with weight 69585585 (95.86/col)
Fri Mar 22 17:28:10 2013  sparse part has weight 49144746 (67.70/col)
Fri Mar 22 17:28:12 2013  matrix starts at (0, 0)
Fri Mar 22 17:28:12 2013  matrix is 725741 x 725941 (217.9 MB) with weight 69585585 (95.86/col)
Fri Mar 22 17:28:12 2013  sparse part has weight 49144746 (67.70/col)
Fri Mar 22 17:28:12 2013  saving the first 48 matrix rows for later
Fri Mar 22 17:28:12 2013  matrix includes 64 packed rows
Fri Mar 22 17:28:12 2013  matrix is 725693 x 725941 (210.7 MB) with weight 55113613 (75.92/col)
Fri Mar 22 17:28:12 2013  sparse part has weight 47981119 (66.10/col)
Fri Mar 22 17:28:12 2013  using block size 262144 for processor cache size 12288 kB
Fri Mar 22 17:28:14 2013  commencing Lanczos iteration (16 threads)
Fri Mar 22 17:28:14 2013  memory use: 307.9 MB
Fri Mar 22 17:28:22 2013  linear algebra at 0.4%, ETA 0h31m
Fri Mar 22 18:00:28 2013  lanczos halted after 11476 iterations (dim = 725691)
Fri Mar 22 18:00:30 2013  recovered 30 nontrivial dependencies
Fri Mar 22 18:00:30 2013  BLanczosTime: 2029
Fri Mar 22 18:00:30 2013  
Fri Mar 22 18:00:30 2013  commencing square root phase
Fri Mar 22 18:00:30 2013  reading relations for dependency 1
Fri Mar 22 18:00:30 2013  read 362488 cycles
Fri Mar 22 18:00:30 2013  cycles contain 1228374 unique relations
Fri Mar 22 18:00:46 2013  read 1228374 relations
Fri Mar 22 18:00:51 2013  multiplying 1228374 relations
Fri Mar 22 18:02:05 2013  multiply complete, coefficients have about 48.46 million bits
Fri Mar 22 18:02:05 2013  initial square root is modulo 9069961
Fri Mar 22 18:03:44 2013  GCD is N, no factor found
Fri Mar 22 18:03:44 2013  reading relations for dependency 2
Fri Mar 22 18:03:44 2013  read 363578 cycles
Fri Mar 22 18:03:45 2013  cycles contain 1229282 unique relations
Fri Mar 22 18:04:01 2013  read 1229282 relations
Fri Mar 22 18:04:06 2013  multiplying 1229282 relations
Fri Mar 22 18:05:21 2013  multiply complete, coefficients have about 48.50 million bits
Fri Mar 22 18:05:21 2013  initial square root is modulo 9183029
Fri Mar 22 18:07:01 2013  GCD is N, no factor found
Fri Mar 22 18:07:01 2013  reading relations for dependency 3
Fri Mar 22 18:07:01 2013  read 362577 cycles
Fri Mar 22 18:07:02 2013  cycles contain 1228754 unique relations
Fri Mar 22 18:07:18 2013  read 1228754 relations
Fri Mar 22 18:07:24 2013  multiplying 1228754 relations
Fri Mar 22 18:08:40 2013  multiply complete, coefficients have about 48.47 million bits
Fri Mar 22 18:08:40 2013  initial square root is modulo 9111667
Fri Mar 22 18:10:25 2013  sqrtTime: 595

prp69 = 452060922750457129958813202463038065585017808471496035135889216021191
prp53 = 15400294672351689952377624433211934986291276961064637
NFS elapsed time = 20594.6098 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 11:24:05 UTC 2013 年 3 月 8 日 (金) 20 時 24 分 5 秒 (日本時間)
403e62200Warut RoonguthaiMarch 8, 2013 11:24:05 UTC 2013 年 3 月 8 日 (金) 20 時 24 分 5 秒 (日本時間)
4511e61000 / 3929Dmitry DomanovMarch 21, 2013 20:55:36 UTC 2013 年 3 月 22 日 (金) 5 時 55 分 36 秒 (日本時間)

16×10248+119

c139

name 名前Erik Branger
date 日付October 27, 2013 21:03:15 UTC 2013 年 10 月 28 日 (月) 6 時 3 分 15 秒 (日本時間)
composite number 合成数
9852506897597512501248187923106229587400014145213895248390351612237371404836595434147081102483665357600104612494470777515536457080868671959<139>
prime factors 素因数
189614910061606100386109745433527339777488598429979<51>
51960612666991334073685208444880369208804478907950202374977836217891759299256530957445621<89>
factorization results 素因数分解の結果
Number: 17779_248
N = 9852506897597512501248187923106229587400014145213895248390351612237371404836595434147081102483665357600104612494470777515536457080868671959 (139 digits)
Divisors found:
r1=189614910061606100386109745433527339777488598429979 (pp51)
r2=51960612666991334073685208444880369208804478907950202374977836217891759299256530957445621 (pp89)
Version: Msieve v. 1.51 (SVN 845)
Total time: 192.99 hours.
Factorization parameters were as follows:
# Murphy_E = 2.364e-11, selected by Erik Branger
n: 9852506897597512501248187923106229587400014145213895248390351612237371404836595434147081102483665357600104612494470777515536457080868671959
Y0: -1218228580693946357956550941
Y1: 86527872598303
c0: -1983814456537954972374956350931520
c1: 22206302494656598341473151672
c2: 56891133888086244303080
c3: -48165942281111188
c4: 18333316029
c5: 3672
skew: 1483815.59
type: gnfs
# selected mechanically
rlim: 17100000
alim: 17100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17100000/17100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23604982
Relations: 4152768 relations
Pruned matrix : 2562159 x 2562382
Polynomial selection time: 0.00 hours.
Total sieving time: 187.49 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 5.11 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,17100000,17100000,28,28,55,55,2.6,2.6,100000
total time: 192.99 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 03:52:57 UTC 2013 年 3 月 8 日 (金) 12 時 52 分 57 秒 (日本時間)
403e62500Warut RoonguthaiMarch 8, 2013 03:52:57 UTC 2013 年 3 月 8 日 (金) 12 時 52 分 57 秒 (日本時間)
4511e61000 / 3862Dmitry DomanovMarch 21, 2013 20:55:47 UTC 2013 年 3 月 22 日 (金) 5 時 55 分 47 秒 (日本時間)

16×10249+119

c249

composite cofactor 合成数の残り
197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197531<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:18:26 UTC 2013 年 3 月 8 日 (金) 22 時 18 分 26 秒 (日本時間)
403e62000Dmitry DomanovMarch 11, 2013 14:04:44 UTC 2013 年 3 月 11 日 (月) 23 時 4 分 44 秒 (日本時間)
4511e60--
5043e61140500Dmitry DomanovMarch 15, 2013 10:52:10 UTC 2013 年 3 月 15 日 (金) 19 時 52 分 10 秒 (日本時間)
640Dmitry DomanovMarch 19, 2013 14:14:56 UTC 2013 年 3 月 19 日 (火) 23 時 14 分 56 秒 (日本時間)
5511e72635 / 17346yoyo@homeSeptember 24, 2013 15:15:21 UTC 2013 年 9 月 25 日 (水) 0 時 15 分 21 秒 (日本時間)

16×10250+119

c251

name 名前Dmitry Domanov
date 日付March 18, 2013 05:14:53 UTC 2013 年 3 月 18 日 (月) 14 時 14 分 53 秒 (日本時間)
composite number 合成数
17777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<251>
prime factors 素因数
630406551180070809583755990025328292740652479<45>
composite cofactor 合成数の残り
28200496559718795707129776692096401896247142821034125631003402398868900214803677012272988317576959148903700691953391570403514698500620152364450914124801360108474704857283131780007853473277419237668616410701<206>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3842409238
Step 1 took 505677ms
********** Factor found in step 1: 630406551180070809583755990025328292740652479
Found probable prime factor of 45 digits: 630406551180070809583755990025328292740652479

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 6, 2013 14:00:00 UTC 2013 年 3 月 6 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 8, 2013 13:18:39 UTC 2013 年 3 月 8 日 (金) 22 時 18 分 39 秒 (日本時間)
403e62000Dmitry DomanovMarch 11, 2013 14:04:24 UTC 2013 年 3 月 11 日 (月) 23 時 4 分 24 秒 (日本時間)
4511e62000Dmitry DomanovMarch 13, 2013 14:23:34 UTC 2013 年 3 月 13 日 (水) 23 時 23 分 34 秒 (日本時間)
5043e6600 / 7021Dmitry DomanovMarch 15, 2013 10:50:29 UTC 2013 年 3 月 15 日 (金) 19 時 50 分 29 秒 (日本時間)

16×10252+119

c193

composite cofactor 合成数の残り
1402599140256206267800918691245257433162240887180581554218642652912630202269978279913809758418835009648685253621646123185036557896442739364376794809282517360171242107586741782451346409410008879<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 25, 2017 07:11:14 UTC 2017 年 1 月 25 日 (水) 16 時 11 分 14 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovJanuary 25, 2017 07:12:21 UTC 2017 年 1 月 25 日 (水) 16 時 12 分 21 秒 (日本時間)

16×10253+119

c220

composite cofactor 合成数の残り
2873250461819659443504252631625932131883101619687965894283965582954156261056742678807184021355755754241849518266964155652850456527752054833680159360990538508453040894089909334658182617898156160496439668778601820276081567<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e60--
4511e61000 / 4439Lionel DebrouxJuly 11, 2020 17:53:07 UTC 2020 年 7 月 12 日 (日) 2 時 53 分 7 秒 (日本時間)

16×10255+119

c233

composite cofactor 合成数の残り
40521867977550752285749312809511536431830282516072389942843125289389333008156574994658593973671121998907035418614915709847926024613913457217111488824202079777211445983740497360153833949141858142124942585114852698872117373787029361343<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62400ebinaOctober 15, 2021 12:20:34 UTC 2021 年 10 月 15 日 (金) 21 時 20 分 34 秒 (日本時間)

16×10256+119

c257

composite cofactor 合成数の残り
17777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 19, 2015 17:03:52 UTC 2015 年 12 月 20 日 (日) 2 時 3 分 52 秒 (日本時間)
4511e61000Serge BatalovDecember 19, 2015 19:19:10 UTC 2015 年 12 月 20 日 (日) 4 時 19 分 10 秒 (日本時間)
5043e67060600Dmitry DomanovFebruary 9, 2016 15:42:02 UTC 2016 年 2 月 10 日 (水) 0 時 42 分 2 秒 (日本時間)
150Dmitry DomanovFebruary 13, 2016 20:58:28 UTC 2016 年 2 月 14 日 (日) 5 時 58 分 28 秒 (日本時間)
2000Dmitry DomanovJanuary 3, 2017 22:29:16 UTC 2017 年 1 月 4 日 (水) 7 時 29 分 16 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2017 14:33:18 UTC 2017 年 1 月 16 日 (月) 23 時 33 分 18 秒 (日本時間)
2000Dmitry DomanovJanuary 18, 2017 13:56:10 UTC 2017 年 1 月 18 日 (水) 22 時 56 分 10 秒 (日本時間)
1510Dmitry DomanovFebruary 17, 2017 16:36:34 UTC 2017 年 2 月 18 日 (土) 1 時 36 分 34 秒 (日本時間)
5511e7220 / 15182100Dmitry DomanovFebruary 13, 2016 20:58:28 UTC 2016 年 2 月 14 日 (日) 5 時 58 分 28 秒 (日本時間)
120Rytis SlatkevičiusAugust 10, 2023 14:42:53 UTC 2023 年 8 月 10 日 (木) 23 時 42 分 53 秒 (日本時間)

16×10258+119

c209

composite cofactor 合成数の残り
69556872316045422442567834500941346873759397024227920477393194445776891074426164524248938657913877392374345468081992598131417414487275943350063468681131475630639461214566302225543234653262025765620731913671547<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicFebruary 18, 2022 13:08:36 UTC 2022 年 2 月 18 日 (金) 22 時 8 分 36 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 20:17:46 UTC 2023 年 10 月 5 日 (木) 5 時 17 分 46 秒 (日本時間)

16×10259+119

c241

name 名前Marlon Trifunovic
date 日付February 28, 2022 23:23:38 UTC 2022 年 3 月 1 日 (火) 8 時 23 分 38 秒 (日本時間)
composite number 合成数
5266594021294525419330743910708331073418948104081588989621726233855003026755842292555195618064059895991797749535051443943310038231429037827441346291596529290406461938127790926185254647146236516468894417213405216077761289258080520044629697597<241>
prime factors 素因数
386241055233748957788825498150816491641<39>
13635510647896399869937512773435909473668715332863154521463768819920525550976772827292044096590731055379333134456752797305703001321139366094419925989699271257126522282804958217435230558274651683871551717<203>
factorization results 素因数分解の結果
Run 524 out of 610:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1427521520
Step 1 took 12370ms
********** Factor found in step 1: 386241055233748957788825498150816491641
Found prime factor of 39 digits: 386241055233748957788825498150816491641
Prime cofactor 13635510647896399869937512773435909473668715332863154521463768819920525550976772827292044096590731055379333134456752797305703001321139366094419925989699271257126522282804958217435230558274651683871551717 has 203 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)

16×10260+119

c213

composite cofactor 合成数の残り
667508464702893955227363989243268261876595979107149755005952964547019763319530475258081770517431706687404874474534908649332701911159759521670273324377609101798126617027188578245548149405333739939418682493501320153<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicFebruary 19, 2022 12:18:22 UTC 2022 年 2 月 19 日 (土) 21 時 18 分 22 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 20:17:57 UTC 2023 年 10 月 5 日 (木) 5 時 17 分 57 秒 (日本時間)

16×10261+119

c256

composite cofactor 合成数の残り
1309507177613450995827009845938935879735515561569467268745329253891098273030118583240910772063333987268480154050424374446375149089438276256416892086050663032129495200533427748800839263150132460743225530610262264005322491923409871572538881518818804883185003<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 19, 2015 17:02:50 UTC 2015 年 12 月 20 日 (日) 2 時 2 分 50 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovFebruary 4, 2016 18:01:42 UTC 2016 年 2 月 5 日 (金) 3 時 1 分 42 秒 (日本時間)

16×10262+119

c245

composite cofactor 合成数の残り
27886328707790365277335459211894462030143528356739286655140054233664871041069326503116699517289217221501854748393656075441179753580038401891933802401074433377788810326789748381861843665574191144360298464844426961714928002162224173701057508385369<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62104610Marlon TrifunovicFebruary 16, 2022 08:30:59 UTC 2022 年 2 月 16 日 (水) 17 時 30 分 59 秒 (日本時間)
1494ebinaJuly 13, 2022 05:09:48 UTC 2022 年 7 月 13 日 (水) 14 時 9 分 48 秒 (日本時間)

16×10263+119

c238

composite cofactor 合成数の残り
3977538899258602386994495441314418950914362397699168336587726994523822651044074834785597550048471901172781605611567997558817769213788492539821142088198352379864911883215864824213268101931270398399934279025830771121936360080678618598222779<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62104610Marlon TrifunovicMarch 4, 2022 06:03:47 UTC 2022 年 3 月 4 日 (金) 15 時 3 分 47 秒 (日本時間)
1494ebinaJuly 13, 2022 05:12:51 UTC 2022 年 7 月 13 日 (水) 14 時 12 分 51 秒 (日本時間)

16×10264+119

c240

composite cofactor 合成数の残り
324750715917069948204911269198288422040586732220682762828144761831026869413063459460022787747513345078434953248655348116298190258747769821272643928734129417384185838888724712993701812031408060844090247085679983252449963308828723589392212881<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 4, 2022 12:54:14 UTC 2022 年 3 月 4 日 (金) 21 時 54 分 14 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 21:15:03 UTC 2023 年 10 月 5 日 (木) 6 時 15 分 3 秒 (日本時間)

16×10265+119

c208

name 名前Marlon Trifunovic
date 日付February 15, 2022 04:56:54 UTC 2022 年 2 月 15 日 (火) 13 時 56 分 54 秒 (日本時間)
composite number 合成数
1452931750774873162022976941667855302486755537682517899040502008660732594993078611225835986603828518294316170792707635471327078791108818263242500252231034677457626107122219303367976103655437175047918842654107<208>
prime factors 素因数
29647230245330626126170742615928805137<38>
49007335213167399767245824871466722902773720227507261214335160958878036920393779158681779987569684521091708768867404452531564953635989845660693340690542772819595863224811<170>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3579605232
Step 1 took 18969ms
Step 2 took 7731ms
********** Factor found in step 2: 29647230245330626126170742615928805137
Found prime factor of 38 digits: 29647230245330626126170742615928805137
Prime cofactor 49007335213167399767245824871466722902773720227507261214335160958878036920393779158681779987569684521091708768867404452531564953635989845660693340690542772819595863224811 has 170 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
Intel(R) Xeon(R) CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)

16×10266+119

c253

composite cofactor 合成数の残り
3295462829974932590882698724094761092115269564217479805065256864978488845196750225019470107621536715902881882804722717651238512322824820400937764835273602471815329225889475361226931803901454481265254703924201886694302341109837861634246871846586065582801<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 2, 2022 08:58:49 UTC 2022 年 3 月 2 日 (水) 17 時 58 分 49 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 21:15:12 UTC 2023 年 10 月 5 日 (木) 6 時 15 分 12 秒 (日本時間)

16×10267+119

c216

composite cofactor 合成数の残り
697381188512525792201173735766176554670874411589601460059710715393472293357694181726983061468577991424354064429898196794041075007937283922639501136608769627990779300025319631318996803309144460403391708048601585626459<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicFebruary 19, 2022 21:09:35 UTC 2022 年 2 月 20 日 (日) 6 時 9 分 35 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 21:15:22 UTC 2023 年 10 月 5 日 (木) 6 時 15 分 22 秒 (日本時間)

16×10268+119

c220

composite cofactor 合成数の残り
1480005184857910522455089431196296261843498044197293585491746589450473736506692138966098483674622836898580165814214361520409531779398000031730948260196442693554883188640067645382598055013499208062852855546217394372545953<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicFebruary 20, 2022 02:21:21 UTC 2022 年 2 月 20 日 (日) 11 時 21 分 21 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 21:15:33 UTC 2023 年 10 月 5 日 (木) 6 時 15 分 33 秒 (日本時間)

16×10269+119

c231

composite cofactor 合成数の残り
156482392355349824397662893301080207485117977739326884462645352320276508149183642175184692649700411469860301911692306367658290858819042354264320294311453849412614863780949110518874212677083357796387336763965690926522165807850835607<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicFebruary 20, 2022 07:03:40 UTC 2022 年 2 月 20 日 (日) 16 時 3 分 40 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 21:15:42 UTC 2023 年 10 月 5 日 (木) 6 時 15 分 42 秒 (日本時間)

16×10270+119

c242

composite cofactor 合成数の残り
49014319750825342671356948789266651189774108592303050908172849667886742941394087063557469778373124617432365572752426913629640761835901882040558449632954706629082519102643315333151548083486427822428713941609258248412734612234455769732465309291<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 2, 2022 10:33:52 UTC 2022 年 3 月 2 日 (水) 19 時 33 分 52 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 21:15:51 UTC 2023 年 10 月 5 日 (木) 6 時 15 分 51 秒 (日本時間)

16×10271+119

c239

composite cofactor 合成数の残り
10200673551933436668149867017797559197810101231120077883183819539284362352221663456643431100389624977017837600376738519732734523279135637129465354493545367959006513773454869526405487660375457244338172421405091839915315479378777294954775641<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 3, 2022 11:01:46 UTC 2022 年 3 月 3 日 (木) 20 時 1 分 46 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 21:16:01 UTC 2023 年 10 月 5 日 (木) 6 時 16 分 1 秒 (日本時間)

16×10273+119

c222

composite cofactor 合成数の残り
521247048053011456174629853135690721400321679307699300888002776957878578196130968763616212151672543826175875942244982055373760316691257633284714169966279686941163836606670023893079566302222752465961053977804006366830000829<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicFebruary 22, 2022 22:19:29 UTC 2022 年 2 月 23 日 (水) 7 時 19 分 29 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 21:16:08 UTC 2023 年 10 月 5 日 (木) 6 時 16 分 8 秒 (日本時間)

16×10275+119

c220

composite cofactor 合成数の残り
3062989818513736370031828577199400416285583327941837324543690563747687551193290520418302937514575371052708926301367160483336700859498856258403700049257496600544499029839184955370215353369559275541000709940512423605509233<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicFebruary 16, 2022 21:00:00 UTC 2022 年 2 月 17 日 (木) 6 時 0 分 0 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 21:16:16 UTC 2023 年 10 月 5 日 (木) 6 時 16 分 16 秒 (日本時間)

16×10276+119

c258

composite cofactor 合成数の残り
464727636280168150589461806806677151848782167372801979795306623590831252261288582917196240491032143728786776270516791910391538620848954126858255724522390296680400861135083116025297439101006921944248250082882796499959398907074397494524129748829595480391777243<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 7, 2022 05:32:40 UTC 2022 年 3 月 7 日 (月) 14 時 32 分 40 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 21:16:23 UTC 2023 年 10 月 5 日 (木) 6 時 16 分 23 秒 (日本時間)

16×10277+119

c257

composite cofactor 合成数の残り
13120274370887435037300358734012310196973434853696890160843650440496850377922575158493090432041236157260269652867562496691194042664036661943476187399641768194925888950679036180471586312897155127031703844465896993023230037168326784396025722857264184557186821<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 6, 2022 18:05:13 UTC 2022 年 3 月 7 日 (月) 3 時 5 分 13 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 21:16:31 UTC 2023 年 10 月 5 日 (木) 6 時 16 分 31 秒 (日本時間)

16×10278+119

c224

composite cofactor 合成数の残り
12566325202889985325415032366098208520220110183429255524168324040687947883824460248292918065693825372174899717544545212318151484681579845719332048793493074437751321581054700485605262914640616238954599087060914685981828415137<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicFebruary 22, 2022 01:45:41 UTC 2022 年 2 月 22 日 (火) 10 時 45 分 41 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 21:16:40 UTC 2023 年 10 月 5 日 (木) 6 時 16 分 40 秒 (日本時間)

16×10279+119

c238

composite cofactor 合成数の残り
6537258564283904447780843633998846427796120169911890114921491581209355098591506953325569395284647853134894379104016664233868428717325027161522334543961656654494996432147018698133933660662459614004946012088119764824088629740064136462483047<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 4, 2022 02:30:15 UTC 2022 年 3 月 4 日 (金) 11 時 30 分 15 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 21:16:53 UTC 2023 年 10 月 5 日 (木) 6 時 16 分 53 秒 (日本時間)

16×10280+119

c255

composite cofactor 合成数の残り
149349961806418501886432997876844516585793293501138198045162103191555776660464027195468774320649274818628611745741945334319762498480693018828702472235099713074591860241792734671416085413852772141152488021537039655607644755391544914623592505559854068003401<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicFebruary 28, 2022 22:47:16 UTC 2022 年 3 月 1 日 (火) 7 時 47 分 16 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 21:16:59 UTC 2023 年 10 月 5 日 (木) 6 時 16 分 59 秒 (日本時間)

16×10281+119

c239

composite cofactor 合成数の残り
99786376650380680279221118343978455109451550135353550241786631365758573545311854395910675031753140860747469832043912175069679159346968863647438746345939559400550514609266631658250503617443403167397444816080136856718564211153463648869902671<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 3, 2022 20:19:09 UTC 2022 年 3 月 4 日 (金) 5 時 19 分 9 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 21:17:33 UTC 2023 年 10 月 5 日 (木) 6 時 17 分 33 秒 (日本時間)

16×10282+119

c275

composite cofactor 合成数の残り
13883537978114870600519081015266028584293975024280507402391371908026867877381116680848136692580646068478761836094669683111725211233843582596230921232348611903958748287878842584660536871189932537780402009417556105331511393173580824335709564201929718585709288917403246276790663<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 10, 2022 00:02:52 UTC 2022 年 3 月 10 日 (木) 9 時 2 分 52 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 21:17:40 UTC 2023 年 10 月 5 日 (木) 6 時 17 分 40 秒 (日本時間)

16×10283+119

c215

composite cofactor 合成数の残り
52208002117105476655120636795085510469335591522589209018289040585725456835268965228507310319587870722284673147661856880258507576811521407507449837856625698127750934698776012381054822566805165391176485589001641678707<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62352iveliveAugust 27, 2020 07:16:53 UTC 2020 年 8 月 27 日 (木) 16 時 16 分 53 秒 (日本時間)
4511e64480iveliveAugust 27, 2020 12:55:54 UTC 2020 年 8 月 27 日 (木) 21 時 55 分 54 秒 (日本時間)

16×10284+119

c264

composite cofactor 合成数の残り
224563959356130375511883680214293544721916822429413344062623470691222710177836899194229545664256191121245698650124600467251468038927795105208120855362305248794770137771090625009137319086548836758075932493802816126809396727742311523120843755702257012804488515876013<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 8, 2022 08:18:06 UTC 2022 年 3 月 8 日 (火) 17 時 18 分 6 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 21:17:52 UTC 2023 年 10 月 5 日 (木) 6 時 17 分 52 秒 (日本時間)

16×10285+119

c270

name 名前Dmitry Domanov
date 日付October 4, 2023 22:27:06 UTC 2023 年 10 月 5 日 (木) 7 時 27 分 6 秒 (日本時間)
composite number 合成数
188107682556741038929466318753729883330448826968114619789261858268777320070059415985332531120425644327472567288994789560647677397351964600127575026462379323568217309429402534968625583727333121718982917090276764236221970650995460361268938423986459071326355519761173012081<270>
prime factors 素因数
1460165876771970858808147101941055688913<40>
128826241969573965224748301694355152804029239348294384672687198801908296520427767736630457832611494194484231313757620036573277665188499247026739880881794168661519143279400362955490569623877857314594600082909088178073085826011487137<231>
factorization results 素因数分解の結果
GPU: factor 1460165876771970858808147101941055688913 found in Step 1 with curve 1704 (-sigma 3:-2041839976)
Computing 1792 Step 1 took 466ms of CPU time / 265957ms of GPU time
Throughput: 6.738 curves per second (on average 148.41ms per Step 1)
********** Factor found in step 1: 1460165876771970858808147101941055688913
Found prime factor of 40 digits: 1460165876771970858808147101941055688913
Prime cofactor 128826241969573965224748301694355152804029239348294384672687198801908296520427767736630457832611494194484231313757620036573277665188499247026739880881794168661519143279400362955490569623877857314594600082909088178073085826011487137 has 231 digits
Peak memory usage: 9420MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 1, 2022 19:02:45 UTC 2022 年 3 月 2 日 (水) 4 時 2 分 45 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 21:18:00 UTC 2023 年 10 月 5 日 (木) 6 時 18 分 0 秒 (日本時間)

16×10286+119

c260

composite cofactor 合成数の残り
20296204642650871007734540091408483208370130059980775376605409416758629281575527841497856640091397874387438848350206293989676986692516421477710620188355079474395084697939139134932155718567153172109479618823829005990277124198623553559648417322441449983046058067<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicFebruary 24, 2022 01:47:10 UTC 2022 年 2 月 24 日 (木) 10 時 47 分 10 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 21:18:09 UTC 2023 年 10 月 5 日 (木) 6 時 18 分 9 秒 (日本時間)

16×10287+119

c272

composite cofactor 合成数の残り
25890356313227159808910483921471229798023020443015484108962864181940438101967584008279915846433710883838649560162806483815107234317968846839112033267705976437283307359938528628386736759700691141466586277577478785961448986562267910737854404538483003162319337447434876445763<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 9, 2022 18:40:16 UTC 2022 年 3 月 10 日 (木) 3 時 40 分 16 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 21:18:17 UTC 2023 年 10 月 5 日 (木) 6 時 18 分 17 秒 (日本時間)

16×10288+119

c219

composite cofactor 合成数の残り
705698813216704188315274424853182522893502947083717685464689050673724009151024262463902210002455858922641647349498117296621023521789325230539283563417320863969549678024376890491660016273434628449626917400233731004289561<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicFebruary 20, 2022 16:11:11 UTC 2022 年 2 月 21 日 (月) 1 時 11 分 11 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 21:18:27 UTC 2023 年 10 月 5 日 (木) 6 時 18 分 27 秒 (日本時間)

16×10292+119

c264

composite cofactor 合成数の残り
106454915725288822918208042690950536104205064348065969551858799281050048731916188135833443662272621869355163440035768154718929668061921989751553163474500047080387231031700588883269453717040910118434832254957732940316487675944930483548281009824501260204972043225579<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 8, 2022 12:14:42 UTC 2022 年 3 月 8 日 (火) 21 時 14 分 42 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 21:18:35 UTC 2023 年 10 月 5 日 (木) 6 時 18 分 35 秒 (日本時間)

16×10294+119

c252

composite cofactor 合成数の残り
219183132129369696865469201047290642932464843280015182909462642366556564967404399031305827924950014804729569448255871866181533191507124743713091199473965102342988658871378377855509650818623834993221009945636201278767295191059047215016066105105050221511<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 7, 2022 10:46:00 UTC 2022 年 3 月 7 日 (月) 19 時 46 分 0 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 21:18:42 UTC 2023 年 10 月 5 日 (木) 6 時 18 分 42 秒 (日本時間)

16×10296+119

c288

composite cofactor 合成数の残り
250405907624125399676449180827114091404036752538938936758602815346892103017424224800148224146132440480520178784077488193252294197132513088999671936803770250445670517219188139134052979222056952288642300012416893391726732701593565307747908145082683200445398740732385217282297893081453624179<288>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 10, 2022 14:37:45 UTC 2022 年 3 月 10 日 (木) 23 時 37 分 45 秒 (日本時間)
1792Dmitry DomanovOctober 4, 2023 21:18:50 UTC 2023 年 10 月 5 日 (木) 6 時 18 分 50 秒 (日本時間)

16×10297+119

c249

composite cofactor 合成数の残り
286037187349202086495523068862338167278075018614327834972729650486230699479733559326651022697273930384066474495462571958012699263292766076497091187519988572132492723092492716610498778574936424912744542746887421801102939620224577022413441748323623333<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e60--
4511e6700 / 4439Serge BatalovDecember 20, 2015 22:06:19 UTC 2015 年 12 月 21 日 (月) 7 時 6 分 19 秒 (日本時間)

16×10299+119

c287

composite cofactor 合成数の残り
16701373221488070467581636349046497172344606478830962092958472612255013593976093639866642292180130588951463050027002234056716741142277060996578416245603932778288597734236362156927492284418967165533929265306428833216834649443728449309185324142237115635515431434667450283802412122311764017<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 11, 2022 02:39:59 UTC 2022 年 3 月 11 日 (金) 11 時 39 分 59 秒 (日本時間)
1792Dmitry DomanovOctober 3, 2023 10:41:59 UTC 2023 年 10 月 3 日 (火) 19 時 41 分 59 秒 (日本時間)