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

composite cofactor 合成数の残り
11126464574374452816667836594532063769650484845825861609815697853421320193731686729027232520297318583328751997671438226331376869292780813147549997669<149>

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

composite cofactor 合成数の残り
5431792038981754355805503000865616629469782570262803737775633320045751575442729252358951811873835289896252467349703081243593426361739782909984015263640793767760809061017<169>

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)
4511e632 / 3954Ignacio SantosOctober 11, 2010 09:48:51 UTC 2010 年 10 月 11 日 (月) 18 時 48 分 51 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

composite cofactor 合成数の残り
154920465216761132133689686279530702021577631117863872602371733229832968380816395629616095577328513830956796477624158496339451209952471829295416659<147>

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

composite cofactor 合成数の残り
513490245714128629234435267784938458256043430042306949910219063166955956455260764291200742704499931591392016432498938890327094515504222019278735833091289617902062686159739837601<177>

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

composite cofactor 合成数の残り
214111539082139875391812424145692976277711430675080696692987305432049565741993804359832694314212569023797728221765918521915715150216802761859135235447806707216807<162>

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)

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

composite cofactor 合成数の残り
30201678741135142518315109888095075469591779517992480420786591014303983465114043451750289002749463652248457690931800295610003996184824582091295484490597049<155>

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

composite cofactor 合成数の残り
3357101767011543178941899521167363923170358465919649459087680683447573334839530612120732295997405972500282831102946362652843259647612148768921585742437137767421085255529496955310228335981248401157990206831<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 13:14:45 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

composite cofactor 合成数の残り
1581687677167913200474080033906397664617679086721003064108086572245522456267184128745742112451054700549928472822926035495494118375804967347913921871788295923581158998332612081826972139823<187>

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

composite cofactor 合成数の残り
13805487672894114210751128619541201348066870755434326807202337759848107744921640358277910750077935644996150387218777351825849647241445565676971187069715359775310027873702404633198973754232936167658971038296603138791<215>

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

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)

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)

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)

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)
5511e7100 / 15182Dmitry DomanovFebruary 13, 2016 20:58:28 UTC 2016 年 2 月 14 日 (日) 5 時 58 分 28 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)

16×10259+119

c241

composite cofactor 合成数の残り
5266594021294525419330743910708331073418948104081588989621726233855003026755842292555195618064059895991797749535051443943310038231429037827441346291596529290406461938127790926185254647146236516468894417213405216077761289258080520044629697597<241>

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)

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)

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)

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)

16×10265+119

c208

composite cofactor 合成数の残り
1452931750774873162022976941667855302486755537682517899040502008660732594993078611225835986603828518294316170792707635471327078791108818263242500252231034677457626107122219303367976103655437175047918842654107<208>

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

16×10285+119

c270

composite cofactor 合成数の残り
188107682556741038929466318753729883330448826968114619789261858268777320070059415985332531120425644327472567288994789560647677397351964600127575026462379323568217309429402534968625583727333121718982917090276764236221970650995460361268938423986459071326355519761173012081<270>

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)

16×10286+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)

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)

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)

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)

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)

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)

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)