Table of contents 目次

85×10109+239

c90

name 名前Erik Branger
date 日付September 26, 2010 14:27:53 UTC 2010 年 9 月 26 日 (日) 23 時 27 分 53 秒 (日本時間)
composite number 合成数
270627929735506764705342909406138225249633361382336114866985096963893402358595407361740077<90>
prime factors 素因数
115102584045734902951276317262114136479513613<45>
2351189002220622291752151726621705448247668129<46>
factorization results 素因数分解の結果
09/26/2010 16:11:47 v1.19.2 @ PULSE, starting SIQS on c90: 270627929735506764705342909406138225249633361382336114866985096963893402358595407361740077
09/26/2010 16:11:47 v1.19.2 @ PULSE, random seeds: 0, 3887914244
09/26/2010 16:11:47 v1.19.2 @ PULSE, ==== sieve params ====
09/26/2010 16:11:47 v1.19.2 @ PULSE, n = 90 digits, 299 bits
09/26/2010 16:11:47 v1.19.2 @ PULSE, factor base: 65244 primes (max prime = 1734133)
09/26/2010 16:11:47 v1.19.2 @ PULSE, single large prime cutoff: 190754630 (110 * pmax)
09/26/2010 16:11:47 v1.19.2 @ PULSE, double large prime range from 43 to 50 bits
09/26/2010 16:11:47 v1.19.2 @ PULSE, double large prime cutoff: 803258182646442
09/26/2010 16:11:47 v1.19.2 @ PULSE, allocating 22 large prime slices of factor base
09/26/2010 16:11:47 v1.19.2 @ PULSE, buckets hold 1024 elements
09/26/2010 16:11:47 v1.19.2 @ PULSE, sieve interval: 9 blocks of size 65536
09/26/2010 16:11:47 v1.19.2 @ PULSE, polynomial A has ~ 11 factors
09/26/2010 16:11:47 v1.19.2 @ PULSE, using multiplier of 2
09/26/2010 16:11:47 v1.19.2 @ PULSE, using small prime variation correction of 21 bits
09/26/2010 16:11:47 v1.19.2 @ PULSE, using SSE2 for trial division and x128 sieve scanning
09/26/2010 16:11:47 v1.19.2 @ PULSE, trial factoring cutoff at 96 bits
09/26/2010 16:11:47 v1.19.2 @ PULSE, ==== sieving started ( 4 threads) ====
09/26/2010 16:25:58 v1.19.2 @ PULSE, trial division touched 21679113 sieve locations out of 61782285090816
09/26/2010 16:25:58 v1.19.2 @ PULSE, 65605 relations found: 19523 full + 46082 from 733938 partial, using 52373492 polys (1011 A polys)
09/26/2010 16:25:58 v1.19.2 @ PULSE, on average, sieving found 0.01 rels/poly and 885.21 rels/sec
09/26/2010 16:25:58 v1.19.2 @ PULSE, trial division touched 21679113 sieve locations out of 61782285090816
09/26/2010 16:25:58 v1.19.2 @ PULSE, ==== post processing stage (msieve-1.38) ====
09/26/2010 16:25:58 v1.19.2 @ PULSE, begin with 753461 relations
09/26/2010 16:25:59 v1.19.2 @ PULSE, reduce to 149498 relations in 10 passes
09/26/2010 16:26:01 v1.19.2 @ PULSE, failed to read relation 66409
09/26/2010 16:26:04 v1.19.2 @ PULSE, recovered 149497 relations
09/26/2010 16:26:04 v1.19.2 @ PULSE, recovered 125131 polynomials
09/26/2010 16:26:04 v1.19.2 @ PULSE, attempting to build 65604 cycles
09/26/2010 16:26:04 v1.19.2 @ PULSE, found 65604 cycles in 5 passes
09/26/2010 16:26:04 v1.19.2 @ PULSE, distribution of cycle lengths:
09/26/2010 16:26:04 v1.19.2 @ PULSE,    length 1 : 19523
09/26/2010 16:26:04 v1.19.2 @ PULSE,    length 2 : 14743
09/26/2010 16:26:04 v1.19.2 @ PULSE,    length 3 : 12227
09/26/2010 16:26:04 v1.19.2 @ PULSE,    length 4 : 8099
09/26/2010 16:26:04 v1.19.2 @ PULSE,    length 5 : 4974
09/26/2010 16:26:04 v1.19.2 @ PULSE,    length 6 : 2858
09/26/2010 16:26:04 v1.19.2 @ PULSE,    length 7 : 1622
09/26/2010 16:26:04 v1.19.2 @ PULSE,    length 9+: 1558
09/26/2010 16:26:04 v1.19.2 @ PULSE, largest cycle: 18 relations
09/26/2010 16:26:04 v1.19.2 @ PULSE, matrix is 65244 x 65604 (15.8 MB) with weight 3614339 (55.09/col)
09/26/2010 16:26:04 v1.19.2 @ PULSE, sparse part has weight 3614339 (55.09/col)
09/26/2010 16:26:04 v1.19.2 @ PULSE, filtering completed in 4 passes
09/26/2010 16:26:04 v1.19.2 @ PULSE, matrix is 59793 x 59857 (14.6 MB) with weight 3342304 (55.84/col)
09/26/2010 16:26:04 v1.19.2 @ PULSE, sparse part has weight 3342304 (55.84/col)
09/26/2010 16:26:04 v1.19.2 @ PULSE, saving the first 48 matrix rows for later
09/26/2010 16:26:04 v1.19.2 @ PULSE, matrix is 59745 x 59857 (12.6 MB) with weight 2905399 (48.54/col)
09/26/2010 16:26:04 v1.19.2 @ PULSE, sparse part has weight 2715771 (45.37/col)
09/26/2010 16:26:04 v1.19.2 @ PULSE, matrix includes 64 packed rows
09/26/2010 16:26:04 v1.19.2 @ PULSE, using block size 10922 for processor cache size 256 kB
09/26/2010 16:26:05 v1.19.2 @ PULSE, commencing Lanczos iteration
09/26/2010 16:26:05 v1.19.2 @ PULSE, memory use: 10.2 MB
09/26/2010 16:26:18 v1.19.2 @ PULSE, lanczos halted after 946 iterations (dim = 59743)
09/26/2010 16:26:18 v1.19.2 @ PULSE, recovered 16 nontrivial dependencies
09/26/2010 16:26:19 v1.19.2 @ PULSE, prp45 = 115102584045734902951276317262114136479513613
09/26/2010 16:26:19 v1.19.2 @ PULSE, prp46 = 2351189002220622291752151726621705448247668129
09/26/2010 16:26:19 v1.19.2 @ PULSE, Lanczos elapsed time = 19.6690 seconds.
09/26/2010 16:26:19 v1.19.2 @ PULSE, Sqrt elapsed time = 1.7630 seconds.
09/26/2010 16:26:19 v1.19.2 @ PULSE, SIQS elapsed time = 872.5939 seconds.
software ソフトウェア
YAFU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)

85×10111+239

c100

name 名前Erik Branger
date 日付September 26, 2010 15:18:32 UTC 2010 年 9 月 27 日 (月) 0 時 18 分 32 秒 (日本時間)
composite number 合成数
7488974370582667689308033761594982725016576921242726256183118481285885838031296319441798459458123947<100>
prime factors 素因数
1483212620004420920964054227341447007677510804177<49>
5049157665986111797195779420904023175136571830414011<52>
factorization results 素因数分解の結果
Number: 94447_111
N = 7488974370582667689308033761594982725016576921242726256183118481285885838031296319441798459458123947 (100 digits)
SNFS difficulty: 113 digits.
Divisors found:
r1=1483212620004420920964054227341447007677510804177 (pp49)
r2=5049157665986111797195779420904023175136571830414011 (pp52)
Version: Msieve v. 1.43
Total time: 1.01 hours.
Factorization parameters were as follows:
n: 7488974370582667689308033761594982725016576921242726256183118481285885838031296319441798459458123947
m: 10000000000000000000000
deg: 5
c5: 850
c0: 23
skew: 0.49
type: snfs
lss: 1
rlim: 530000
alim: 530000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 530000/530000
Large primes per side: 3
Large prime bits: 25/25
Sieved rational special-q in [265000, 565000)
Relations: 1133052
Relations in full relation-set: 106194 relations
Pruned matrix : 65642 x 65890
Polynomial selection time: 0.00 hours.
Total sieving time: 0.93 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
time per square root: 0.04 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
3025e40--
351e6118 / 904Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)

85×10116+239

c96

name 名前Ignacio Santos
date 日付September 26, 2010 14:21:54 UTC 2010 年 9 月 26 日 (日) 23 時 21 分 54 秒 (日本時間)
composite number 合成数
707624441688453175611079248167465813546205453702852948203011455476633388185369642402061921417311<96>
prime factors 素因数
2343219888256344796619737775311188691<37>
301988065752982421901517665333699591275059886226742247322821<60>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=967824455
Step 1 took 3557ms
Step 2 took 3027ms
********** Factor found in step 2: 2343219888256344796619737775311188691
Found probable prime factor of 37 digits: 2343219888256344796619737775311188691
Probable prime cofactor 301988065752982421901517665333699591275059886226742247322821 has 60 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 KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)

85×10118+239

c90

name 名前Ignacio Santos
date 日付September 26, 2010 14:52:44 UTC 2010 年 9 月 26 日 (日) 23 時 52 分 44 秒 (日本時間)
composite number 合成数
231159912152323439399389870834509632687591854069964731153362593454879119058755670541127867<90>
prime factors 素因数
3102602952294312254666167838069313073<37>
74505154448262659749274493501431497874119434487428779<53>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1631979049
Step 1 took 38438ms
Step 2 took 21981ms
********** Factor found in step 2: 3102602952294312254666167838069313073
Found probable prime factor of 37 digits: 3102602952294312254666167838069313073
Probable prime cofactor 74505154448262659749274493501431497874119434487428779 has 53 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 KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)

85×10122+239

c107

name 名前Erik Branger
date 日付September 26, 2010 15:16:23 UTC 2010 年 9 月 27 日 (月) 0 時 16 分 23 秒 (日本時間)
composite number 合成数
63330804156604311007430622703604675762108308377082781065307524088452411154511854197228318163600761765502111<107>
prime factors 素因数
7062978554985711441574923272899426943<37>
8966585933055042469176596671233563485974928766988984980825477141892577<70>
factorization results 素因数分解の結果
Number: 94447_122
N = 63330804156604311007430622703604675762108308377082781065307524088452411154511854197228318163600761765502111 (107 digits)
SNFS difficulty: 124 digits.
Divisors found:
r1=7062978554985711441574923272899426943 (pp37)
r2=8966585933055042469176596671233563485974928766988984980825477141892577 (pp70)
Version: Msieve v. 1.47
Total time: 2.17 hours.
Factorization parameters were as follows:
n: 63330804156604311007430622703604675762108308377082781065307524088452411154511854197228318163600761765502111
m: 1000000000000000000000000
deg: 5
c5: 8500
c0: 23
skew: 0.31
type: snfs
lss: 1
rlim: 810000
alim: 810000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 810000/810000
Large primes per side: 3
Large prime bits: 25/25
Sieved rational special-q in [405000, 755000)
Relations: 1526934
Relations in full relation-set: 143084 relations
Pruned matrix : 94719 x 94945
Polynomial selection time: 0.00 hours.
Total sieving time: 2.12 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
time per square root: 0.02 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
3025e40--
351e6118 / 904Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)

85×10129+239

c91

name 名前Ignacio Santos
date 日付September 26, 2010 15:01:03 UTC 2010 年 9 月 27 日 (月) 0 時 1 分 3 秒 (日本時間)
composite number 合成数
5049972540990066743268631734493696178907426395408394565372960949786731726496599788018000779<91>
prime factors 素因数
171065327398748533000105063227051763<36>
29520725314597041813002796778056083814333976000015380233<56>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4219905206
Step 1 took 10155ms
Step 2 took 6552ms
********** Factor found in step 2: 171065327398748533000105063227051763
Found probable prime factor of 36 digits: 171065327398748533000105063227051763
Probable prime cofactor 29520725314597041813002796778056083814333976000015380233 has 56 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 KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)

85×10140+239

c128

name 名前Erik Branger
date 日付September 26, 2010 17:13:23 UTC 2010 年 9 月 27 日 (月) 2 時 13 分 23 秒 (日本時間)
composite number 合成数
46722511785148716471823333215886367799742069414666549730612228193759167513375307040101410645820185155832546973209751835074881597<128>
prime factors 素因数
13964742340543734051026692452628559328654151355869834443251<59>
3345748216886149812065955679279116340837980464543570909823335975448847<70>
factorization results 素因数分解の結果
Number: 94447_140
N = 46722511785148716471823333215886367799742069414666549730612228193759167513375307040101410645820185155832546973209751835074881597 (128 digits)
SNFS difficulty: 142 digits.
Divisors found:
r1=13964742340543734051026692452628559328654151355869834443251 (pp59)
r2=3345748216886149812065955679279116340837980464543570909823335975448847 (pp70)
Version: Msieve v. 1.47
Total time: 7.21 hours.
Factorization parameters were as follows:
n: 46722511785148716471823333215886367799742069414666549730612228193759167513375307040101410645820185155832546973209751835074881597
m: 10000000000000000000000000000
deg: 5
c5: 85
c0: 23
skew: 0.77
type: snfs
lss: 1
rlim: 1620000
alim: 1620000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [810000, 1710000)
Relations: 4041002
Relations in full relation-set: 368198 relations
Pruned matrix : 233506 x 233732
Polynomial selection time: 0.00 hours.
Total sieving time: 7.12 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
time per square root: 0.02 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
3025e40--
351e6118 / 904Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)

85×10142+239

c143

name 名前Dmitry Domanov
date 日付September 27, 2010 12:43:27 UTC 2010 年 9 月 27 日 (月) 21 時 43 分 27 秒 (日本時間)
composite number 合成数
94444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447<143>
prime factors 素因数
2200034389786845182203201456249935330397<40>
42928621881040180930883186503472665165869364724536022292095075948630713023809331035479618083015424948651<104>
factorization results 素因数分解の結果
Number: 143s
N=94444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447
  ( 143 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=2200034389786845182203201456249935330397 (pp40)
 r2=42928621881040180930883186503472665165869364724536022292095075948630713023809331035479618083015424948651 (pp104)
Version: Msieve-1.40
Total time: 7.32 hours.
Scaled time: 14.02 units (timescale=1.916).
Factorization parameters were as follows:
n: 94444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447
m: 10000000000000000000000000000
deg: 5
c5: 8500
c0: 23
skew: 0.31
type: snfs
lss: 1
rlim: 1750000
alim: 1750000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1750000/1750000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [875000, 2175001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 263231 x 263459
Total sieving time: 7.06 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1750000,1750000,26,26,48,48,2.3,2.3,100000
total time: 7.32 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)

85×10144+239

c133

name 名前Dmitry Domanov
date 日付September 27, 2010 20:20:50 UTC 2010 年 9 月 28 日 (火) 5 時 20 分 50 秒 (日本時間)
composite number 合成数
6319702502530010832019296027112088870119923772351189194689480741117752492413770735108877434050736516446711472988010353765581490322307<133>
prime factors 素因数
19236466826047164922596405492661978089277075489368257<53>
328527195751602824626775229023987845053670037327660832262594565774665237278691651<81>
factorization results 素因数分解の結果
Number: 144s
N=6319702502530010832019296027112088870119923772351189194689480741117752492413770735108877434050736516446711472988010353765581490322307
  ( 133 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=19236466826047164922596405492661978089277075489368257 (pp53)
 r2=328527195751602824626775229023987845053670037327660832262594565774665237278691651 (pp81)
Version: Msieve-1.40
Total time: 7.55 hours.
Scaled time: 12.95 units (timescale=1.716).
Factorization parameters were as follows:
n: 6319702502530010832019296027112088870119923772351189194689480741117752492413770735108877434050736516446711472988010353765581490322307
m: 50000000000000000000000000000
deg: 5
c5: 272
c0: 23
skew: 0.61
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1890000/1890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [945000, 2245001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 281822 x 282050
Total sieving time: 7.23 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,145.000,5,0,0,0,0,0,0,0,0,1890000,1890000,26,26,49,49,2.3,2.3,100000
total time: 7.55 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)

85×10146+239

c147

name 名前Dmitry Domanov
date 日付September 28, 2010 10:42:10 UTC 2010 年 9 月 28 日 (火) 19 時 42 分 10 秒 (日本時間)
composite number 合成数
944444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447<147>
prime factors 素因数
10103363635905066752542342179956402252679346893516467534237<59>
93478219579081834741521194366847374455087421142540118610613662711805837572316408927876331<89>
factorization results 素因数分解の結果
Number: 147s
N=944444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447
  ( 147 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=10103363635905066752542342179956402252679346893516467534237 (pp59)
 r2=93478219579081834741521194366847374455087421142540118610613662711805837572316408927876331 (pp89)
Version: Msieve-1.40
Total time: 10.38 hours.
Scaled time: 20.43 units (timescale=1.969).
Factorization parameters were as follows:
n: 944444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447
m: 100000000000000000000000000000
deg: 5
c5: 850
c0: 23
skew: 0.49
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 312484 x 312709
Total sieving time: 9.96 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 10.38 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)

85×10150+239

c136

name 名前Sinkiti Sibata
date 日付September 28, 2010 09:14:20 UTC 2010 年 9 月 28 日 (火) 18 時 14 分 20 秒 (日本時間)
composite number 合成数
2717155063050220261959241754803398694028855837055340899503731947708886876209772268528021910954347553279062459804882409386673698371307777<136>
prime factors 素因数
683980923045880930546871403169383503<36>
325684738164015129349749465223202559249637639451<48>
12197561791812960780584211610738339621376489037523709<53>
factorization results 素因数分解の結果
Number: 94447_150
N=2717155063050220261959241754803398694028855837055340899503731947708886876209772268528021910954347553279062459804882409386673698371307777
  ( 136 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=683980923045880930546871403169383503 (pp36)
 r2=325684738164015129349749465223202559249637639451 (pp48)
 r3=12197561791812960780584211610738339621376489037523709 (pp53)
Version: Msieve-1.40
Total time: 16.17 hours.
Scaled time: 39.71 units (timescale=2.456).
Factorization parameters were as follows:
name: 94447_150
n: 2717155063050220261959241754803398694028855837055340899503731947708886876209772268528021910954347553279062459804882409386673698371307777
m: 1000000000000000000000000000000
deg: 5
c5: 85
c0: 23
skew: 0.77
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 1900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 394698 x 394946
Total sieving time: 15.65 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 16.17 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)

85×10151+239

c136

name 名前Sinkiti Sibata
date 日付September 28, 2010 09:17:47 UTC 2010 年 9 月 28 日 (火) 18 時 17 分 47 秒 (日本時間)
composite number 合成数
3877002012067305977710237963327912926917488449578955545638285159607973607849465580576495383061932317020006890339352880087444996064184641<136>
prime factors 素因数
228863443662045619220587749688190923<36>
77652973125132479994540674017526440657813721<44>
218153160710638511969247256326512189251334514266253099227<57>
factorization results 素因数分解の結果
Number: 94447_151
N=3877002012067305977710237963327912926917488449578955545638285159607973607849465580576495383061932317020006890339352880087444996064184641
  ( 136 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=228863443662045619220587749688190923 (pp36)
 r2=77652973125132479994540674017526440657813721 (pp44)
 r3=218153160710638511969247256326512189251334514266253099227 (pp57)
Version: Msieve-1.40
Total time: 18.27 hours.
Scaled time: 49.83 units (timescale=2.728).
Factorization parameters were as follows:
name: 94447_151
n: 3877002012067305977710237963327912926917488449578955545638285159607973607849465580576495383061932317020006890339352880087444996064184641
m: 1000000000000000000000000000000
deg: 5
c5: 850
c0: 23
skew: 0.49
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 509166 x 509413
Total sieving time: 17.45 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.55 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 18.27 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)

85×10153+239

c97

name 名前Dmitry Domanov
date 日付September 26, 2010 22:37:58 UTC 2010 年 9 月 27 日 (月) 7 時 37 分 58 秒 (日本時間)
composite number 合成数
3508696952912943074733860552508085117796060846879505124881708881413758692959662266011368830420887<97>
prime factors 素因数
64211439813889368035476419348510689587169<41>
54642863687258235727477969725975769941329084932331964023<56>
factorization results 素因数分解の結果
Number: 97g
N=3508696952912943074733860552508085117796060846879505124881708881413758692959662266011368830420887
  ( 97 digits)
Divisors found:
 r1=64211439813889368035476419348510689587169 (pp41)
 r2=54642863687258235727477969725975769941329084932331964023 (pp56)
Version: Msieve-1.40
Total time: 6.47 hours.
Scaled time: 12.59 units (timescale=1.946).
Factorization parameters were as follows:
name: 97g
n:  3508696952912943074733860552508085117796060846879505124881708881413758692959662266011368830420887
m:  13365066237462526821031
deg: 4
c4: 109966752
c3: 850314435
c2: -61106286008022784
c1: -408288540503655767710
c0: 2454121152764548593444
skew: 1635.250
type: gnfs
# adj. I(F,S) = 56.630
# E(F1,F2) = 1.841071e-005
# GGNFS version 0.77.1-VC8(Sat 01/17/2009) polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1285517552.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1860001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 213290 x 213515
Polynomial selection time: 0.17 hours.
Total sieving time: 6.10 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 6.47 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
351e6418118Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 26, 2010 15:43:46 UTC 2010 年 9 月 27 日 (月) 0 時 43 分 46 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 26, 2010 15:43:46 UTC 2010 年 9 月 27 日 (月) 0 時 43 分 46 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 26, 2010 15:43:46 UTC 2010 年 9 月 27 日 (月) 0 時 43 分 46 秒 (日本時間)

85×10154+239

c125

name 名前Sinkiti Sibata
date 日付September 28, 2010 09:22:33 UTC 2010 年 9 月 28 日 (火) 18 時 22 分 33 秒 (日本時間)
composite number 合成数
26509864360406507448228216383929843767113751750008544740049411438483359496079697718885045055227599475892163187994977755783329<125>
prime factors 素因数
31508575024977872238160070786662301557<38>
841353959656737117970335190503879698353060884023633234026747850273173478767738146783997<87>
factorization results 素因数分解の結果
Number: 94447_154
N=26509864360406507448228216383929843767113751750008544740049411438483359496079697718885045055227599475892163187994977755783329
  ( 125 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=31508575024977872238160070786662301557 (pp38)
 r2=841353959656737117970335190503879698353060884023633234026747850273173478767738146783997 (pp87)
Version: Msieve-1.40
Total time: 21.96 hours.
Scaled time: 66.74 units (timescale=3.039).
Factorization parameters were as follows:
name: 94447_154
n: 26509864360406507448228216383929843767113751750008544740049411438483359496079697718885045055227599475892163187994977755783329
m: 5000000000000000000000000000000
deg: 5
c5: 272
c0: 23
skew: 0.61
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 444492 x 444740
Total sieving time: 21.36 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.39 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 21.96 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 26, 2010 22:10:36 UTC 2010 年 9 月 27 日 (月) 7 時 10 分 36 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 26, 2010 22:10:36 UTC 2010 年 9 月 27 日 (月) 7 時 10 分 36 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 26, 2010 22:10:36 UTC 2010 年 9 月 27 日 (月) 7 時 10 分 36 秒 (日本時間)

85×10156+239

c123

name 名前Sinkiti Sibata
date 日付September 29, 2010 13:21:04 UTC 2010 年 9 月 29 日 (水) 22 時 21 分 4 秒 (日本時間)
composite number 合成数
936426844944531357122082917943017816960115729480891903621880271771426577768992119917367255893471795844797801088735068963133<123>
prime factors 素因数
773971725693177467383009337711234114351<39>
1209898002547647750212506369000165129236161798824758597830340166474797928275634272083<85>
factorization results 素因数分解の結果
Number: 94447_156
N=936426844944531357122082917943017816960115729480891903621880271771426577768992119917367255893471795844797801088735068963133
  ( 123 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=773971725693177467383009337711234114351 (pp39)
 r2=1209898002547647750212506369000165129236161798824758597830340166474797928275634272083 (pp85)
Version: Msieve-1.40
Total time: 26.78 hours.
Scaled time: 81.75 units (timescale=3.053).
Factorization parameters were as follows:
name: 94447_156
n: 936426844944531357122082917943017816960115729480891903621880271771426577768992119917367255893471795844797801088735068963133
m: 10000000000000000000000000000000
deg: 5
c5: 850
c0: 23
skew: 0.49
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 515305 x 515553
Total sieving time: 25.99 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.56 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 26.78 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 26, 2010 21:28:24 UTC 2010 年 9 月 27 日 (月) 6 時 28 分 24 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 26, 2010 21:28:24 UTC 2010 年 9 月 27 日 (月) 6 時 28 分 24 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 26, 2010 21:28:24 UTC 2010 年 9 月 27 日 (月) 6 時 28 分 24 秒 (日本時間)

85×10157+239

c151

name 名前Sinkiti Sibata
date 日付September 29, 2010 13:30:43 UTC 2010 年 9 月 29 日 (水) 22 時 30 分 43 秒 (日本時間)
composite number 合成数
3304634603461090001688435014043666796274435814410616532887087917459278416550039307851047086498254789419566163759208320584733399128219507702051609302817<151>
prime factors 素因数
768907622018166897801928896106441011928266904480769<51>
4297830466015346320552298772445445447236335911176987442459134820451538265753577363941622067540437793<100>
factorization results 素因数分解の結果
Number: 94447_157
N=3304634603461090001688435014043666796274435814410616532887087917459278416550039307851047086498254789419566163759208320584733399128219507702051609302817
  ( 151 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=768907622018166897801928896106441011928266904480769 (pp51)
 r2=4297830466015346320552298772445445447236335911176987442459134820451538265753577363941622067540437793 (pp100)
Version: Msieve-1.40
Total time: 26.84 hours.
Scaled time: 83.12 units (timescale=3.097).
Factorization parameters were as follows:
name: 94447_157
n: 3304634603461090001688435014043666796274435814410616532887087917459278416550039307851047086498254789419566163759208320584733399128219507702051609302817
m: 10000000000000000000000000000000
deg: 5
c5: 8500
c0: 23
skew: 0.31
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 2850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 590551 x 590799
Total sieving time: 25.91 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.74 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 26.84 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)

85×10160+239

c98

name 名前Dmitry Domanov
date 日付September 27, 2010 05:12:20 UTC 2010 年 9 月 27 日 (月) 14 時 12 分 20 秒 (日本時間)
composite number 合成数
28340867625299623753556737582736880250392133184920871433039752830326151628488463123052385941124847<98>
prime factors 素因数
20721010454571731760985232058058820103623<41>
1367735791043274272225847939269815478243735496968633748889<58>
factorization results 素因数分解の結果
Number: 98g-1
N=28340867625299623753556737582736880250392133184920871433039752830326151628488463123052385941124847
  ( 98 digits)
Divisors found:
 r1=20721010454571731760985232058058820103623 (pp41)
 r2=1367735791043274272225847939269815478243735496968633748889 (pp58)
Version: Msieve-1.40
Total time: 3.23 hours.
Scaled time: 5.95 units (timescale=1.845).
Factorization parameters were as follows:
name: 98g-1
n: 28340867625299623753556737582736880250392133184920871433039752830326151628488463123052385941124847
skew: 4746.83
# norm 5.42e+013
c5: 90720
c4: -793349898
c3: -4792653459653
c2: 908031191556179
c1: 17948162416083772113
c0: 51307880001095822783595
# alpha -6.63
Y1: 2188417517
Y0: -3154587273742180336
# Murphy_E 4.88e-009
# M 3495076758867101742311188097033696171994361096589365370175151668455046195458030852404895492303508
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
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, 1300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 157292 x 157517
Polynomial selection time: 0.29 hours.
Total sieving time: 2.73 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,97,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 3.23 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)

85×10163+239

c151

name 名前Sinkiti Sibata
date 日付October 2, 2010 09:47:12 UTC 2010 年 10 月 2 日 (土) 18 時 47 分 12 秒 (日本時間)
composite number 合成数
4064866312527326804886712197079690224301056023532535976461605208226728385407403208780056683833869554295329764302726646293605702735055048478035592839809<151>
prime factors 素因数
5399568556858347611055222118059332314429125598938410819680142909580443747<73>
752813168260318208346043842542847035634285935354906838978488150105962654547147<78>
factorization results 素因数分解の結果
Number: 94447_163
N=4064866312527326804886712197079690224301056023532535976461605208226728385407403208780056683833869554295329764302726646293605702735055048478035592839809
  ( 151 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=5399568556858347611055222118059332314429125598938410819680142909580443747 (pp73)
 r2=752813168260318208346043842542847035634285935354906838978488150105962654547147 (pp78)
Version: Msieve-1.40
Total time: 57.32 hours.
Scaled time: 186.51 units (timescale=3.254).
Factorization parameters were as follows:
name: 94447_163
n: 4064866312527326804886712197079690224301056023532535976461605208226728385407403208780056683833869554295329764302726646293605702735055048478035592839809
m: 100000000000000000000000000000000
deg: 5
c5: 85000
c0: 23
skew: 0.19
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 828635 x 828883
Total sieving time: 55.61 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.33 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 57.32 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 27, 2010 04:33:41 UTC 2010 年 9 月 27 日 (月) 13 時 33 分 41 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 27, 2010 04:33:41 UTC 2010 年 9 月 27 日 (月) 13 時 33 分 41 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 27, 2010 04:33:41 UTC 2010 年 9 月 27 日 (月) 13 時 33 分 41 秒 (日本時間)

85×10164+239

c139

name 名前Sinkiti Sibata
date 日付October 2, 2010 19:57:48 UTC 2010 年 10 月 3 日 (日) 4 時 57 分 48 秒 (日本時間)
composite number 合成数
2153586674236247759372916862190453197579534978044025311624969385191845387364478541169460874906654916702409595161889316348554996733604927913<139>
prime factors 素因数
1885695739516959204356576911691871314527<40>
1142064771694245666253893975596756807986621752679860626694559160198247515021651178991358010935529719<100>
factorization results 素因数分解の結果
Number: 94447_164
N=2153586674236247759372916862190453197579534978044025311624969385191845387364478541169460874906654916702409595161889316348554996733604927913
  ( 139 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=1885695739516959204356576911691871314527 (pp40)
 r2=1142064771694245666253893975596756807986621752679860626694559160198247515021651178991358010935529719 (pp100)
Version: Msieve-1.40
Total time: 41.35 hours.
Scaled time: 139.52 units (timescale=3.374).
Factorization parameters were as follows:
name: 94447_164
n: 2153586674236247759372916862190453197579534978044025311624969385191845387364478541169460874906654916702409595161889316348554996733604927913
m: 500000000000000000000000000000000
deg: 5
c5: 272
c0: 23
skew: 0.61
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 748260 x 748508
Total sieving time: 40.16 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.05 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 41.35 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 27, 2010 04:34:22 UTC 2010 年 9 月 27 日 (月) 13 時 34 分 22 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 27, 2010 04:34:22 UTC 2010 年 9 月 27 日 (月) 13 時 34 分 22 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 27, 2010 04:34:22 UTC 2010 年 9 月 27 日 (月) 13 時 34 分 22 秒 (日本時間)

85×10165+239

c141

name 名前Sinkiti Sibata
date 日付October 2, 2010 09:50:36 UTC 2010 年 10 月 2 日 (土) 18 時 50 分 36 秒 (日本時間)
composite number 合成数
261931766442473826335830618086701704866943083673432526373581389717793261946478270589454608568152401179151172527646667834001892598218322124573<141>
prime factors 素因数
185559116550201148191568978006685215840654140933083491<54>
1411581232505010486501260108273354384023350364907850448827334698112692281057705999775103<88>
factorization results 素因数分解の結果
Number: 94447_165
N=261931766442473826335830618086701704866943083673432526373581389717793261946478270589454608568152401179151172527646667834001892598218322124573
  ( 141 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=185559116550201148191568978006685215840654140933083491 (pp54)
 r2=1411581232505010486501260108273354384023350364907850448827334698112692281057705999775103 (pp88)
Version: Msieve-1.40
Total time: 48.55 hours.
Scaled time: 148.23 units (timescale=3.053).
Factorization parameters were as follows:
name: 94447_165
n: 261931766442473826335830618086701704866943083673432526373581389717793261946478270589454608568152401179151172527646667834001892598218322124573
m: 1000000000000000000000000000000000
deg: 5
c5: 85
c0: 23
skew: 0.77
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 748203 x 748451
Total sieving time: 47.28 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.12 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 48.55 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 27, 2010 04:34:49 UTC 2010 年 9 月 27 日 (月) 13 時 34 分 49 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 27, 2010 04:34:49 UTC 2010 年 9 月 27 日 (月) 13 時 34 分 49 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 27, 2010 04:34:49 UTC 2010 年 9 月 27 日 (月) 13 時 34 分 49 秒 (日本時間)

85×10167+239

c106

name 名前Serge Batalov
date 日付September 26, 2010 21:57:31 UTC 2010 年 9 月 27 日 (月) 6 時 57 分 31 秒 (日本時間)
composite number 合成数
6001782423417022639042894772558621294008139249411151919196361710575759864873570318463441397081538266510833<106>
prime factors 素因数
2700612291749593793173888309164952963<37>
2222378399799388895127247567322976016259019380353117191244263154362491<70>
factorization results 素因数分解の結果
Divisors found:
 r1=2700612291749593793173888309164952963 (pp37)
 r2=2222378399799388895127247567322976016259019380353117191244263154362491 (pp70)
Version: Msieve v. 1.47
Total time: 3.03 hours.
Scaled time: 9.10 units (timescale=3.000).
Factorization parameters were as follows:
name: test
type: gnfs
n:  6001782423417022639042894772558621294008139249411151919196361710575759864873570318463441397081538266510833
skew:  67829.59
Y0:  -372218603044694471802
Y1:   93036830213
c0:  -157611361063368642205895177
c1:   27118482252333262094541
c2:  -647258881822490111
c3:  -16467377990019
c4:   81928846
c5:   840
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
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, 2150001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 275714 x 275944
Total sieving time: 2.93 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 3.03 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 26, 2010 16:57:05 UTC 2010 年 9 月 27 日 (月) 1 時 57 分 5 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 26, 2010 16:57:05 UTC 2010 年 9 月 27 日 (月) 1 時 57 分 5 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 26, 2010 16:57:05 UTC 2010 年 9 月 27 日 (月) 1 時 57 分 5 秒 (日本時間)

85×10168+239

c127

name 名前Markus Tervooren
date 日付December 1, 2010 09:50:00 UTC 2010 年 12 月 1 日 (水) 18 時 50 分 0 秒 (日本時間)
composite number 合成数
4030018508692817856493991619922161509150449878191050393686782779090658072723806607384787404475881013445293709696554422868483293<127>
prime factors 素因数
150530799924764248480916700919151211355324604963<48>
26772052700889341989505835825907090712634897425057060074316578094086487624774911<80>
factorization results 素因数分解の結果
Msieve v. 1.48
Wed Dec  1 10:19:39 2010
random seeds: 20d12e21 07fc0796
factoring 4030018508692817856493991619922161509150449878191050393686782779090658072723806607384787404475881013445293709696554422868483293 (127 digits)
searching for 15-digit factors
commencing number field sieve (127-digit input)
R0: -1000000000000000000000000000000000
R1:  1
A0:  23
A1:  0
A2:  0
A3:  0
A4:  0
A5:  85000
skew 0.19, size 3.118e-12, alpha 0.368, combined = 1.700e-10 rroots = 1

commencing relation filtering
estimated available RAM is 3960.1 MB
commencing duplicate removal, pass 1
error -5 reading relation 2674382
error -15 reading relation 5432863
error -15 reading relation 8162913
read 10M relations
error -15 reading relation 10848790
error -15 reading relation 13538422
found 1767317 hash collisions in 16135494 relations
added 380297 free relations
commencing duplicate removal, pass 2
found 1124199 duplicates and 15391592 unique relations
memory use: 82.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 344.5 MB
reading all ideals from disk
memory use: 464.4 MB
keeping 12943691 ideals with weight <= 200, target excess is 116298
commencing in-memory singleton removal
begin with 15391591 relations and 12943691 unique ideals
reduce to 10886047 relations and 7939105 ideals in 11 passes
max relations containing the same ideal: 151
removing 1587059 relations and 1187059 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9298988 relations and 7939105 unique ideals
reduce to 9170259 relations and 6617979 ideals in 6 passes
max relations containing the same ideal: 134
removing 1227771 relations and 827771 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 7942488 relations and 6617979 unique ideals
reduce to 7857545 relations and 5701983 ideals in 6 passes
max relations containing the same ideal: 119
removing 1096770 relations and 696770 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 6760775 relations and 5701983 unique ideals
reduce to 6672390 relations and 4912984 ideals in 6 passes
max relations containing the same ideal: 108
removing 1031753 relations and 631753 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 5640637 relations and 4912984 unique ideals
reduce to 5536060 relations and 4170613 ideals in 6 passes
max relations containing the same ideal: 93
removing 994729 relations and 594729 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 4541331 relations and 4170613 unique ideals
reduce to 4429770 relations and 3456780 ideals in 6 passes
max relations containing the same ideal: 75
removing 979297 relations and 579297 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 3450473 relations and 3456780 unique ideals
reduce to 3316677 relations and 2732512 ideals in 6 passes
max relations containing the same ideal: 61
removing 974469 relations and 574469 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 2342208 relations and 2732512 unique ideals
reduce to 2170395 relations and 1967172 ideals in 8 passes
max relations containing the same ideal: 45
removing 262728 relations and 194411 ideals in 68317 cliques
commencing in-memory singleton removal
begin with 1907667 relations and 1967172 unique ideals
reduce to 1886128 relations and 1750612 ideals in 6 passes
max relations containing the same ideal: 41
relations with 0 large ideals: 2941
relations with 1 large ideals: 2263
relations with 2 large ideals: 27865
relations with 3 large ideals: 136598
relations with 4 large ideals: 346763
relations with 5 large ideals: 514984
relations with 6 large ideals: 484925
relations with 7+ large ideals: 369789
commencing 2-way merge
reduce to 1311053 relation sets and 1175537 unique ideals
commencing full merge
memory use: 144.0 MB
found 672474 cycles, need 653737
weight of 653737 cycles is about 45896837 (70.21/cycle)
distribution of cycle lengths:
1 relations: 57113
2 relations: 68159
3 relations: 76906
4 relations: 76585
5 relations: 73104
6 relations: 64793
7 relations: 55708
8 relations: 46356
9 relations: 36939
10+ relations: 98074
heaviest cycle: 18 relations
commencing cycle optimization
start with 3728402 relations
pruned 136730 relations
memory use: 115.0 MB
distribution of cycle lengths:
1 relations: 57113
2 relations: 69973
3 relations: 80422
4 relations: 80076
5 relations: 76523
6 relations: 67050
7 relations: 57520
8 relations: 46135
9 relations: 36326
10+ relations: 82599
heaviest cycle: 18 relations
RelProcTime: 551

commencing linear algebra
read 653737 cycles
cycles contain 1819383 unique relations
read 1819383 relations
using 20 quadratic characters above 134215232
building initial matrix
memory use: 237.3 MB
read 653737 cycles
matrix is 653555 x 653737 (193.8 MB) with weight 57185721 (87.48/col)
sparse part has weight 43623382 (66.73/col)
filtering completed in 2 passes
matrix is 653290 x 653472 (193.8 MB) with weight 57173613 (87.49/col)
sparse part has weight 43616891 (66.75/col)
matrix starts at (0, 0)
matrix is 653290 x 653472 (193.8 MB) with weight 57173613 (87.49/col)
sparse part has weight 43616891 (66.75/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 653242 x 653472 (183.2 MB) with weight 45291691 (69.31/col)
sparse part has weight 41491794 (63.49/col)
using block size 65536 for processor cache size 6144 kB
commencing Lanczos iteration (6 threads)
memory use: 169.2 MB
linear algebra at 0.5%, ETA 0h14m653472 dimensions (0.5%, ETA 0h14m)    
linear algebra completed 653211 of 653472 dimensions (100.0%, ETA 0h 0m)    
lanczos halted after 10334 iterations (dim = 653240)
recovered 39 nontrivial dependencies
BLanczosTime: 965

commencing square root phase
reading relations for dependency 1
read 327747 cycles
cycles contain 911224 unique relations
read 911224 relations
multiplying 911224 relations
multiply complete, coefficients have about 34.58 million bits
initial square root is modulo 92381
sqrtTime: 146
prp48 factor: 150530799924764248480916700919151211355324604963
prp80 factor: 26772052700889341989505835825907090712634897425057060074316578094086487624774911
elapsed time 00:27:43

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 27, 2010 04:35:16 UTC 2010 年 9 月 27 日 (月) 13 時 35 分 16 秒 (日本時間)
403e62126110Ignacio SantosSeptember 27, 2010 04:35:16 UTC 2010 年 9 月 27 日 (月) 13 時 35 分 16 秒 (日本時間)
2016Wataru SakaiOctober 23, 2010 05:40:13 UTC 2010 年 10 月 23 日 (土) 14 時 40 分 13 秒 (日本時間)
4511e632 / 3991Ignacio SantosSeptember 27, 2010 04:35:16 UTC 2010 年 9 月 27 日 (月) 13 時 35 分 16 秒 (日本時間)

85×10169+239

c164

name 名前Ignacio Santos
date 日付September 30, 2010 19:33:57 UTC 2010 年 10 月 1 日 (金) 4 時 33 分 57 秒 (日本時間)
composite number 合成数
18163682085218055751349363915332538875247963642890129019625516588474152193577668193078401995150125930944800591512060075887008990531144314749343644663331771897745137<164>
prime factors 素因数
401880228391647398178688593044373158619512007859473687516627015791<66>
45196754659741221164881977703175554118195618856377924565363677712921310490823559078536651678760607<98>
factorization results 素因数分解の結果
Number: 4
N=18163682085218055751349363915332538875247963642890129019625516588474152193577668193078401995150125930944800591512060075887008990531144314749343644663331771897745137
  ( 164 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=401880228391647398178688593044373158619512007859473687516627015791 (pp66)
 r2=45196754659741221164881977703175554118195618856377924565363677712921310490823559078536651678760607 (pp98)
Version: Msieve-1.40
Total time: 55.95 hours.
Scaled time: 97.29 units (timescale=1.739).
Factorization parameters were as follows:
n: 18163682085218055751349363915332538875247963642890129019625516588474152193577668193078401995150125930944800591512060075887008990531144314749343644663331771897745137
m: 5000000000000000000000000000000000
deg: 5
c5: 272
c0: 23
skew: 0.61
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2450000, 5350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 960915 x 961152
Total sieving time: 53.88 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.27 hours.
Time per square root: 0.69 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 55.95 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
351e6118Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61110 / 16051000Serge BatalovSeptember 26, 2010 18:29:57 UTC 2010 年 9 月 27 日 (月) 3 時 29 分 57 秒 (日本時間)
110Ignacio SantosSeptember 26, 2010 19:27:19 UTC 2010 年 9 月 27 日 (月) 4 時 27 分 19 秒 (日本時間)
4511e682 / 407232Ignacio SantosSeptember 26, 2010 19:27:19 UTC 2010 年 9 月 27 日 (月) 4 時 27 分 19 秒 (日本時間)
50Lionel DebrouxSeptember 28, 2010 06:42:32 UTC 2010 年 9 月 28 日 (火) 15 時 42 分 32 秒 (日本時間)
5043e645 / 749215Lionel DebrouxSeptember 28, 2010 11:36:07 UTC 2010 年 9 月 28 日 (火) 20 時 36 分 7 秒 (日本時間)
30Lionel DebrouxSeptember 28, 2010 13:30:27 UTC 2010 年 9 月 28 日 (火) 22 時 30 分 27 秒 (日本時間)

85×10170+239

c131

name 名前Sinkiti Sibata
date 日付April 4, 2011 23:55:35 UTC 2011 年 4 月 5 日 (火) 8 時 55 分 35 秒 (日本時間)
composite number 合成数
82104374037365092918768251854491327822369009100979468255874712155940145328197615990463725445673135242832168604057493811224610329883<131>
prime factors 素因数
158959759243373993254439832068295319094062211016059<51>
516510432754618647488625688287042265018256716743874654322601217539406948106202337<81>
factorization results 素因数分解の結果
Number: 94447_170
N=82104374037365092918768251854491327822369009100979468255874712155940145328197615990463725445673135242832168604057493811224610329883
  ( 131 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=158959759243373993254439832068295319094062211016059 (pp51)
 r2=516510432754618647488625688287042265018256716743874654322601217539406948106202337 (pp81)
Version: Msieve-1.40
Total time: 77.11 hours.
Scaled time: 216.82 units (timescale=2.812).
Factorization parameters were as follows:
name: 94447_170
n: 82104374037365092918768251854491327822369009100979468255874712155940145328197615990463725445673135242832168604057493811224610329883
m: 10000000000000000000000000000000000
deg: 5
c5: 85
c0: 23
skew: 0.77
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 956987 x 957235
Total sieving time: 74.87 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.00 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 77.11 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
351e6418118Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 27, 2010 04:35:51 UTC 2010 年 9 月 27 日 (月) 13 時 35 分 51 秒 (日本時間)
403e62428110Ignacio SantosSeptember 27, 2010 04:35:51 UTC 2010 年 9 月 27 日 (月) 13 時 35 分 51 秒 (日本時間)
2318Wataru SakaiSeptember 28, 2010 03:25:14 UTC 2010 年 9 月 28 日 (火) 12 時 25 分 14 秒 (日本時間)
4511e632 / 3924Ignacio SantosSeptember 27, 2010 04:35:51 UTC 2010 年 9 月 27 日 (月) 13 時 35 分 51 秒 (日本時間)

85×10171+239

c161

name 名前Wataru Sakai
date 日付October 10, 2010 05:15:50 UTC 2010 年 10 月 10 日 (日) 14 時 15 分 50 秒 (日本時間)
composite number 合成数
26839425914179425249770693460907708862981181501269371100302866155231055768374535923950901196685830642257475336967535547953806343108830098118011205626517104877391<161>
prime factors 素因数
2528051271833280477952215336196971444902415368148508155378075757<64>
10616646194329806863600585566237388429340192075068045911746815159959472141523922012797072879397163<98>
factorization results 素因数分解の結果
Number: 94447_171
N=26839425914179425249770693460907708862981181501269371100302866155231055768374535923950901196685830642257475336967535547953806343108830098118011205626517104877391
  ( 161 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=2528051271833280477952215336196971444902415368148508155378075757
 r2=10616646194329806863600585566237388429340192075068045911746815159959472141523922012797072879397163
Version: 
Total time: 113.42 hours.
Scaled time: 228.44 units (timescale=2.014).
Factorization parameters were as follows:
n: 26839425914179425249770693460907708862981181501269371100302866155231055768374535923950901196685830642257475336967535547953806343108830098118011205626517104877391
m: 10000000000000000000000000000000000
deg: 5
c5: 850
c0: 23
skew: 0.49
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 6250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 893310 x 893558
Total sieving time: 113.42 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,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 113.42 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
351e6418118Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 27, 2010 04:37:05 UTC 2010 年 9 月 27 日 (月) 13 時 37 分 5 秒 (日本時間)
403e62428110Ignacio SantosSeptember 27, 2010 04:37:05 UTC 2010 年 9 月 27 日 (月) 13 時 37 分 5 秒 (日本時間)
2318Wataru SakaiSeptember 28, 2010 03:25:32 UTC 2010 年 9 月 28 日 (火) 12 時 25 分 32 秒 (日本時間)
4511e632 / 3924Ignacio SantosSeptember 27, 2010 04:37:05 UTC 2010 年 9 月 27 日 (月) 13 時 37 分 5 秒 (日本時間)

85×10173+239

c171

name 名前Ignacio Santos
date 日付September 29, 2010 13:55:18 UTC 2010 年 9 月 29 日 (水) 22 時 55 分 18 秒 (日本時間)
composite number 合成数
103229253956109350141484801010432226958623286090768875772701327406759694441408289916323581204989009120608202475073171324127712804070875991304453431461847682199633232533003<171>
prime factors 素因数
22795775738623915508545469575884321341952616520006357539346226329<65>
4528437862336193664202152873164843600444125460399380989145244351896578981896703511746923812234560517450307<106>
factorization results 素因数分解の結果
Number: 2
N=103229253956109350141484801010432226958623286090768875772701327406759694441408289916323581204989009120608202475073171324127712804070875991304453431461847682199633232533003
  ( 171 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=22795775738623915508545469575884321341952616520006357539346226329 (pp65)
 r2=4528437862336193664202152873164843600444125460399380989145244351896578981896703511746923812234560517450307 (pp106)
Version: Msieve-1.40
Total time: 108.52 hours.
Scaled time: 188.72 units (timescale=1.739).
Factorization parameters were as follows:
n: 103229253956109350141484801010432226958623286090768875772701327406759694441408289916323581204989009120608202475073171324127712804070875991304453431461847682199633232533003
m: 10000000000000000000000000000000000
deg: 5
c5: 85000
c0: 23
skew: 0.19
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 8700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1231087 x 1231320
Total sieving time: 105.98 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.11 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 108.52 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
351e6418118Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 26, 2010 20:32:48 UTC 2010 年 9 月 27 日 (月) 5 時 32 分 48 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 26, 2010 20:32:48 UTC 2010 年 9 月 27 日 (月) 5 時 32 分 48 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 26, 2010 20:32:48 UTC 2010 年 9 月 27 日 (月) 5 時 32 分 48 秒 (日本時間)

85×10174+239

c155

name 名前Wataru Sakai
date 日付December 1, 2010 13:57:18 UTC 2010 年 12 月 1 日 (水) 22 時 57 分 18 秒 (日本時間)
composite number 合成数
28418149172097423907490099008431306895969484790427473021024352980452326876883306399156837800631505448520427436904134045554619029701451329801153698115140751<155>
prime factors 素因数
34025331795845588556546272290213541113424769989<47>
835205644506520632802914631908042217829106683304965449034286992939534692140440264271256956995875374231662659<108>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3120559151
Step 1 took 16694ms
Step 2 took 6318ms
********** Factor found in step 2: 34025331795845588556546272290213541113424769989
Found probable prime factor of 47 digits: 34025331795845588556546272290213541113424769989
Probable prime cofactor 835205644506520632802914631908042217829106683304965449034286992939534692140440264271256956995875374231662659 has 108 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 27, 2010 14:50:01 UTC 2010 年 9 月 27 日 (月) 23 時 50 分 1 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 27, 2010 14:50:01 UTC 2010 年 9 月 27 日 (月) 23 時 50 分 1 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 27, 2010 14:50:01 UTC 2010 年 9 月 27 日 (月) 23 時 50 分 1 秒 (日本時間)

85×10176+239

c148

name 名前Wataru Sakai
date 日付November 9, 2011 04:09:37 UTC 2011 年 11 月 9 日 (水) 13 時 9 分 37 秒 (日本時間)
composite number 合成数
4357704082017818523285134186364990841508970658500356261108933187229741221835374724580134847280528765923194608126820013869143334667890796128994237459<148>
prime factors 素因数
48887090015168882365813698319047121<35>
89138136073668787053509583615877549204533460883413411182276828975630495931900436258408610244984174900904410786979<113>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3928709886
Step 1 took 17542ms
Step 2 took 7749ms
********** Factor found in step 2: 48887090015168882365813698319047121
Found probable prime factor of 35 digits: 48887090015168882365813698319047121
Probable prime cofactor 89138136073668787053509583615877549204533460883413411182276828975630495931900436258408610244984174900904410786979 has 113 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
351e6418118Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 23, 2010 17:21:38 UTC 2010 年 11 月 24 日 (水) 2 時 21 分 38 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 23, 2010 17:21:38 UTC 2010 年 11 月 24 日 (水) 2 時 21 分 38 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 23, 2010 17:21:38 UTC 2010 年 11 月 24 日 (水) 2 時 21 分 38 秒 (日本時間)

85×10180+239

c162

name 名前Jo Yeong Uk
date 日付March 16, 2014 21:39:48 UTC 2014 年 3 月 17 日 (月) 6 時 39 分 48 秒 (日本時間)
composite number 合成数
388609406647919897498299014080552464389850738680616100310862034015227510125098316718883072231417185632841124096038621117106784904973405311183129252900833167740093<162>
prime factors 素因数
82604596296704204105681754750672903726925272829883083740359219239<65>
4704452585811194298102639605704293506691411404334776034011503409007617813816846016568507870641787<97>
factorization results 素因数分解の結果
Number: 94447_180
N=388609406647919897498299014080552464389850738680616100310862034015227510125098316718883072231417185632841124096038621117106784904973405311183129252900833167740093
  ( 162 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=82604596296704204105681754750672903726925272829883083740359219239
 r2=4704452585811194298102639605704293506691411404334776034011503409007617813816846016568507870641787
Version: 
Total time: 53.11 hours.
Scaled time: 274.25 units (timescale=5.164).
Factorization parameters were as follows:
n: 388609406647919897498299014080552464389850738680616100310862034015227510125098316718883072231417185632841124096038621117106784904973405311183129252900833167740093
m: 1000000000000000000000000000000000000
deg: 5
c5: 85
c0: 23
skew: 0.77
# Murphy_E = 9.175e-11
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2800000, 5300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17821028
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1368397 x 1368644
Total sieving time: 49.31 hours.
Total relation processing time: 1.14 hours.
Matrix solve time: 2.08 hours.
Time per square root: 0.58 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,5600000,5600000,28,28,53,53,2.5,2.5,100000
total time: 53.11 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49370224k/51380224k available (5223k kernel code, 1085960k absent, 924040k reserved, 7119k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.85 BogoMIPS (lpj=3399928)
Total of 12 processors activated (81598.27 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 23, 2010 18:23:05 UTC 2010 年 11 月 24 日 (水) 3 時 23 分 5 秒 (日本時間)
403e61110110Ignacio SantosNovember 23, 2010 18:23:05 UTC 2010 年 11 月 24 日 (水) 3 時 23 分 5 秒 (日本時間)
1000Dmitry DomanovJune 3, 2012 11:35:47 UTC 2012 年 6 月 3 日 (日) 20 時 35 分 47 秒 (日本時間)
4511e61282 / 421632Ignacio SantosNovember 23, 2010 18:23:05 UTC 2010 年 11 月 24 日 (水) 3 時 23 分 5 秒 (日本時間)
400Dmitry DomanovJune 3, 2012 11:35:47 UTC 2012 年 6 月 3 日 (日) 20 時 35 分 47 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:52 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 52 秒 (日本時間)

85×10182+239

c174

name 名前Robert Backstrom
date 日付January 22, 2012 15:30:05 UTC 2012 年 1 月 23 日 (月) 0 時 30 分 5 秒 (日本時間)
composite number 合成数
893958603431816609964076665811161955490470657538021218657920610680429042836366236029674939854835890998801676152230556018786498823852267791087882200485921673986764131161780039<174>
prime factors 素因数
276359532018100298868126489480024225688079503546922031638303840291221<69>
3234766671168289452911926280273510177178048555629576725389626967159605537498923786006762485028630594238059<106>
factorization results 素因数分解の結果
Number: n
N=893958603431816609964076665811161955490470657538021218657920610680429042836366236029674939854835890998801676152230556018786498823852267791087882200485921673986764131161780039
  ( 174 digits)
SNFS difficulty: 183 digits.
Divisors found:

Mon Jan 23 02:19:29 2012  prp69 factor: 276359532018100298868126489480024225688079503546922031638303840291221
Mon Jan 23 02:19:29 2012  prp106 factor: 3234766671168289452911926280273510177178048555629576725389626967159605537498923786006762485028630594238059
Mon Jan 23 02:19:29 2012  elapsed time 02:24:10 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.657).
Factorization parameters were as follows:
name: KA_94447_182
n: 893958603431816609964076665811161955490470657538021218657920610680429042836366236029674939854835890998801676152230556018786498823852267791087882200485921673986764131161780039
m: 1000000000000000000000000000000000000
deg: 5
c5: 8500
c0: 23
skew: 0.31
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8240177 hash collisions in 76000086 relations
Msieve: matrix is 1088422 x 1088670 (305.0 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,183,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 24, 2010 00:02:41 UTC 2010 年 11 月 24 日 (水) 9 時 2 分 41 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 24, 2010 00:02:41 UTC 2010 年 11 月 24 日 (水) 9 時 2 分 41 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 24, 2010 00:02:41 UTC 2010 年 11 月 24 日 (水) 9 時 2 分 41 秒 (日本時間)

85×10185+239

c163

name 名前Dmitry Domanov
date 日付May 29, 2012 05:54:22 UTC 2012 年 5 月 29 日 (火) 14 時 54 分 22 秒 (日本時間)
composite number 合成数
2332009822120492642826459591264156030695665235155242045309839797811537853020208055731767966204779239793955828162280527018449346813509651747246345831941973828449453<163>
prime factors 素因数
2732710673902058192890944329067192825881<40>
853368724465293729749211008768943638822041554514728833664913896819468709988666075731262001373866813959523581319087280473013<123>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3316825643
Step 1 took 19534ms
Step 2 took 8022ms
********** Factor found in step 2: 2732710673902058192890944329067192825881
Found probable prime factor of 40 digits: 2732710673902058192890944329067192825881

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 24, 2010 06:40:40 UTC 2010 年 11 月 24 日 (水) 15 時 40 分 40 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 24, 2010 06:40:40 UTC 2010 年 11 月 24 日 (水) 15 時 40 分 40 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 24, 2010 06:40:40 UTC 2010 年 11 月 24 日 (水) 15 時 40 分 40 秒 (日本時間)

85×10187+239

c121

name 名前Ignacio Santos
date 日付September 26, 2010 17:55:44 UTC 2010 年 9 月 27 日 (月) 2 時 55 分 44 秒 (日本時間)
composite number 合成数
2904157471818797711854346163912322466212905458192134532700892791071231292864934890525452443446232007863888853822550334427<121>
prime factors 素因数
1509099508460094827572160582030685367<37>
composite cofactor 合成数の残り
1924430732061027937206219507936838033237990771401908276471553804915012161034849949181<85>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1356737817
Step 1 took 15693ms
Step 2 took 515ms
********** Factor found in step 2: 1509099508460094827572160582030685367
Found probable prime factor of 37 digits: 1509099508460094827572160582030685367
Composite cofactor 1924430732061027937206219507936838033237990771401908276471553804915012161034849949181 has 85 digits
software ソフトウェア
GMP-ECM 6.3

c85

name 名前Ignacio Santos
date 日付September 27, 2010 13:48:16 UTC 2010 年 9 月 27 日 (月) 22 時 48 分 16 秒 (日本時間)
composite number 合成数
1924430732061027937206219507936838033237990771401908276471553804915012161034849949181<85>
prime factors 素因数
6592001814892760593667123423993397542699<40>
291934193299722989652112077884271045624032119<45>
factorization results 素因数分解の結果
09/27/10 15:40:52 v1.15 @ IGNACIO-PC, starting SIQS on c85: 1924430732061027937206219507936838033237990771401908276471553804915012161034849949181
09/27/10 15:40:52 v1.15 @ IGNACIO-PC, random seeds: 0, 2231290912
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, ==== sieve params ====
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, n = 85 digits, 283 bits
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, factor base: 54371 primes (max prime = 1418491)
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, single large prime cutoff: 134756645 (95 * pmax)
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, double large prime range from 42 to 49 bits
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, double large prime cutoff: 429724724547749
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, allocating 12 large prime slices of factor base
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, buckets hold 1024 elements
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, sieve interval: 14 blocks of size 32768
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, polynomial A has ~ 11 factors
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, using multiplier of 5
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, using small prime variation correction of 19 bits
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, using SSE2 for trial division and x128 sieve scanning
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, trial factoring cutoff at 93 bits
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, ==== sieving started ( 4 threads) ====
09/27/10 15:47:31 v1.15 @ IGNACIO-PC, trial division touched 11136283 sieve locations out of 10640422338560
09/27/10 15:47:31 v1.15 @ IGNACIO-PC, 54930 relations found: 18375 full + 36555 from 505366 partial, using 11597140 polys (435 A polys)
09/27/10 15:47:31 v1.15 @ IGNACIO-PC, on average, sieving found 0.05 rels/poly and 1313.91 rels/sec
09/27/10 15:47:31 v1.15 @ IGNACIO-PC, trial division touched 11136283 sieve locations out of 10640422338560
09/27/10 15:47:31 v1.15 @ IGNACIO-PC, ==== post processing stage (msieve-1.38) ====
09/27/10 15:47:31 v1.15 @ IGNACIO-PC, begin with 523741 relations
09/27/10 15:47:31 v1.15 @ IGNACIO-PC, reduce to 113795 relations in 9 passes
09/27/10 15:47:34 v1.15 @ IGNACIO-PC, recovered 113795 relations
09/27/10 15:47:34 v1.15 @ IGNACIO-PC, recovered 88081 polynomials
09/27/10 15:47:34 v1.15 @ IGNACIO-PC, attempting to build 54930 cycles
09/27/10 15:47:34 v1.15 @ IGNACIO-PC, found 54930 cycles in 4 passes
09/27/10 15:47:34 v1.15 @ IGNACIO-PC, distribution of cycle lengths:
09/27/10 15:47:34 v1.15 @ IGNACIO-PC,    length 1 : 18375
09/27/10 15:47:34 v1.15 @ IGNACIO-PC,    length 2 : 14588
09/27/10 15:47:34 v1.15 @ IGNACIO-PC,    length 3 : 10175
09/27/10 15:47:34 v1.15 @ IGNACIO-PC,    length 4 : 5797
09/27/10 15:47:34 v1.15 @ IGNACIO-PC,    length 5 : 3154
09/27/10 15:47:34 v1.15 @ IGNACIO-PC,    length 6 : 1549
09/27/10 15:47:34 v1.15 @ IGNACIO-PC,    length 7 : 738
09/27/10 15:47:34 v1.15 @ IGNACIO-PC,    length 9+: 554
09/27/10 15:47:34 v1.15 @ IGNACIO-PC, largest cycle: 16 relations
09/27/10 15:47:35 v1.15 @ IGNACIO-PC, matrix is 54371 x 54930 (11.6 MB) with weight 2611054 (47.53/col)
09/27/10 15:47:35 v1.15 @ IGNACIO-PC, sparse part has weight 2611054 (47.53/col)
09/27/10 15:47:35 v1.15 @ IGNACIO-PC, filtering completed in 4 passes
09/27/10 15:47:35 v1.15 @ IGNACIO-PC, matrix is 47545 x 47609 (10.2 MB) with weight 2296187 (48.23/col)
09/27/10 15:47:35 v1.15 @ IGNACIO-PC, sparse part has weight 2296187 (48.23/col)
09/27/10 15:47:35 v1.15 @ IGNACIO-PC, saving the first 48 matrix rows for later
09/27/10 15:47:35 v1.15 @ IGNACIO-PC, matrix is 47497 x 47609 (8.5 MB) with weight 1966963 (41.31/col)
09/27/10 15:47:35 v1.15 @ IGNACIO-PC, sparse part has weight 1763704 (37.05/col)
09/27/10 15:47:35 v1.15 @ IGNACIO-PC, matrix includes 64 packed rows
09/27/10 15:47:35 v1.15 @ IGNACIO-PC, using block size 19043 for processor cache size 4096 kB
09/27/10 15:47:35 v1.15 @ IGNACIO-PC, commencing Lanczos iteration
09/27/10 15:47:35 v1.15 @ IGNACIO-PC, memory use: 7.1 MB
09/27/10 15:47:46 v1.15 @ IGNACIO-PC, lanczos halted after 752 iterations (dim = 47497)
09/27/10 15:47:46 v1.15 @ IGNACIO-PC, recovered 18 nontrivial dependencies
09/27/10 15:47:47 v1.15 @ IGNACIO-PC, prp45 = 291934193299722989652112077884271045624032119
09/27/10 15:47:48 v1.15 @ IGNACIO-PC, prp40 = 6592001814892760593667123423993397542699
09/27/10 15:47:48 v1.15 @ IGNACIO-PC, Lanczos elapsed time = 15.0920 seconds.
09/27/10 15:47:48 v1.15 @ IGNACIO-PC, Sqrt elapsed time = 2.0470 seconds.
09/27/10 15:47:48 v1.15 @ IGNACIO-PC, SIQS elapsed time = 415.7538 seconds.
software ソフトウェア
Yafu 1.15

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)

85×10188+239

c166

composite cofactor 合成数の残り
4236078897509983022985781427094563909395340880796231047971380763180383315842070965490745156228561223599240677708310330876194115978395089026695834238402680697240783401<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 24, 2010 06:41:16 UTC 2010 年 11 月 24 日 (水) 15 時 41 分 16 秒 (日本時間)
403e61110110Ignacio SantosNovember 24, 2010 06:41:16 UTC 2010 年 11 月 24 日 (水) 15 時 41 分 16 秒 (日本時間)
1000Dmitry DomanovJune 3, 2012 11:36:04 UTC 2012 年 6 月 3 日 (日) 20 時 36 分 4 秒 (日本時間)
4511e6432 / 421632Ignacio SantosNovember 24, 2010 06:41:16 UTC 2010 年 11 月 24 日 (水) 15 時 41 分 16 秒 (日本時間)
400Dmitry DomanovJune 3, 2012 11:36:04 UTC 2012 年 6 月 3 日 (日) 20 時 36 分 4 秒 (日本時間)

85×10189+239

c167

name 名前Serge Batalov
date 日付September 27, 2010 00:01:44 UTC 2010 年 9 月 27 日 (月) 9 時 1 分 44 秒 (日本時間)
composite number 合成数
68147355638203932309620492311457428432198642677229931597674072016884650439088820291596386139336326185464550334670161155194549237257996123445492907651544260710718521957<167>
prime factors 素因数
9855638625998463931618406884049<31>
composite cofactor 合成数の残り
6914555030298708675377858744525901837449702567945144038378726030669476027607523227442255908895224284440328637131422259049671425884324693<136>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1661638847
Step 1 took 7820ms
Step 2 took 3937ms
********** Factor found in step 2: 9855638625998463931618406884049
Found probable prime factor of 31 digits: 9855638625998463931618406884049
Composite cofactor has 136 digits

c136

name 名前Robert Backstrom
date 日付May 17, 2012 13:16:01 UTC 2012 年 5 月 17 日 (木) 22 時 16 分 1 秒 (日本時間)
composite number 合成数
6914555030298708675377858744525901837449702567945144038378726030669476027607523227442255908895224284440328637131422259049671425884324693<136>
prime factors 素因数
6814349254269481688061073504691461056463919950162345612169032723<64>
1014705113032831972400334617146382921218190693814576237614282266891110391<73>
factorization results 素因数分解の結果
Number: n
N=6914555030298708675377858744525901837449702567945144038378726030669476027607523227442255908895224284440328637131422259049671425884324693
  ( 136 digits)
Divisors found:

Thu May 17 21:33:00 2012  prp64 factor: 6814349254269481688061073504691461056463919950162345612169032723
Thu May 17 21:33:00 2012  prp73 factor: 1014705113032831972400334617146382921218190693814576237614282266891110391
Thu May 17 21:33:00 2012  elapsed time 02:29:55 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
name: KA_94447_189
n: 6914555030298708675377858744525901837449702567945144038378726030669476027607523227442255908895224284440328637131422259049671425884324693
skew: 366537.37
# norm 7.59e+18
c5: 58140
c4: 208052464269
c3: -79245329504156904
c2: -18540176661507684186316
c1: 2344866691181512781232659236
c0: 374545036742157890712456222145920
# alpha -6.02
Y1: 389371322802253
Y0: -164080550479351455382647647
# Murphy_E 3.31e-11
# M 3084733068282663413623411395192365126430678088670664915405649149326527551631254980578656229448527974900268487329938703272792948021112239
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 24060000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2604786 hash collisions in 13160521 relations (10664818 unique)
Msieve: matrix is 1199643 x 1199869 (346.7 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:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
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: 4015340k/5242880k available (3972k kernel code, 1049604k absent, 177936k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.43 BogoMIPS (lpj=2830715)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Total of 4 processors activated (22644.15 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 24, 2010 06:41:56 UTC 2010 年 11 月 24 日 (水) 15 時 41 分 56 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 24, 2010 06:41:56 UTC 2010 年 11 月 24 日 (水) 15 時 41 分 56 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 24, 2010 06:41:56 UTC 2010 年 11 月 24 日 (水) 15 時 41 分 56 秒 (日本時間)

85×10192+239

c166

composite cofactor 合成数の残り
1467027422122152162267453432717251281613312252283792212522567069868605612872279326198435431386515423100667613643646634541681711075525661772653966089016549024832018079<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 24, 2010 06:42:25 UTC 2010 年 11 月 24 日 (水) 15 時 42 分 25 秒 (日本時間)
403e61110110Ignacio SantosNovember 24, 2010 06:42:25 UTC 2010 年 11 月 24 日 (水) 15 時 42 分 25 秒 (日本時間)
1000Dmitry DomanovJune 3, 2012 11:36:18 UTC 2012 年 6 月 3 日 (日) 20 時 36 分 18 秒 (日本時間)
4511e6432 / 421632Ignacio SantosNovember 24, 2010 06:42:25 UTC 2010 年 11 月 24 日 (水) 15 時 42 分 25 秒 (日本時間)
400Dmitry DomanovJune 3, 2012 11:36:18 UTC 2012 年 6 月 3 日 (日) 20 時 36 分 18 秒 (日本時間)

85×10194+239

c180

name 名前matsui
date 日付May 12, 2011 06:01:43 UTC 2011 年 5 月 12 日 (木) 15 時 1 分 43 秒 (日本時間)
composite number 合成数
113963746217202519376892223851074424191706009070053618712391660506025320327289528277338179451037946014442385487645972831998328804142547249108226379968363131819378673800100415866437<180>
prime factors 素因数
854226660879330747828447257035851800805373381532387026542327199963324906819628813<81>
133411600733568297593115848279091023884822105711715400133944380557888412115177623068338722516084249<99>
factorization results 素因数分解の結果
N=113963746217202519376892223851074424191706009070053618712391660506025320327289528277338179451037946014442385487645972831998328804142547249108226379968363131819378673800100415866437
  ( 180 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=854226660879330747828447257035851800805373381532387026542327199963324906819628813 (pp81)
 r2=133411600733568297593115848279091023884822105711715400133944380557888412115177623068338722516084249 (pp99)
Version: Msieve v. 1.49
Total time:
Scaled time: 74.60 units (timescale=0.673).
Factorization parameters were as follows:
n: 113963746217202519376892223851074424191706009070053618712391660506025320327289528277338179451037946014442385487645972831998328804142547249108226379968363131819378673800100415866437
m: 500000000000000000000000000000000000000
deg: 5
c5: 272
c0: 23
skew: 0.61
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6450000, 14450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2416511 x 2416718
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,195.000,5,0,0,0,0,0,0,0,0,12900000,12900000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 24, 2010 06:42:56 UTC 2010 年 11 月 24 日 (水) 15 時 42 分 56 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 24, 2010 06:42:56 UTC 2010 年 11 月 24 日 (水) 15 時 42 分 56 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 24, 2010 06:42:56 UTC 2010 年 11 月 24 日 (水) 15 時 42 分 56 秒 (日本時間)

85×10195+239

c133

name 名前Sinkiti Sibata
date 日付April 18, 2011 11:58:43 UTC 2011 年 4 月 18 日 (月) 20 時 58 分 43 秒 (日本時間)
composite number 合成数
1051061950319790421586110654426354209904793643761115409570452499121900343446043250020559321595732112785998797639897361776842694079507<133>
prime factors 素因数
2922513423981975715857403255919155588727147417657843281<55>
359643155680599102019398604125046612261975369964685813868328399714778220781347<78>
factorization results 素因数分解の結果
Number: 94447_195
N=1051061950319790421586110654426354209904793643761115409570452499121900343446043250020559321595732112785998797639897361776842694079507
  ( 133 digits)
Divisors found:
 r1=2922513423981975715857403255919155588727147417657843281 (pp55)
 r2=359643155680599102019398604125046612261975369964685813868328399714778220781347 (pp78)
Version: Msieve v. 1.42
Total time: 12.73 hours.
Scaled time: 10.86 units (timescale=0.853).
Factorization parameters were as follows:
name: 94447_195
# Murphy_E = 6.09e-11, selected by Erik Branger
n: 1051061950319790421586110654426354209904793643761115409570452499121900343446043250020559321595732112785998797639897361776842694079507
Y0: -93897000817208635432787668
Y1: 153325846520389
c0: 23851621712437780070509673389879995
c1: 327704340688922394786744930327
c2: -72323881572312910749347
c3: -23210704385194471
c4: 1465967752
c5: 144
skew: 6446786.16
type: gnfs
# selected mechanically
rlim: 11100000
alim: 11100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [5550000, 11350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1649967 x 1650196
Total sieving time: 0.00 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 12.16 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
gnfs,132,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,11100000,11100000,28,28,54,54,2.6,2.6,100000
total time: 12.73 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.08 BogoMIPS (lpj=2913541)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.61 BogoMIPS).

Total time: 4.5 days.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 26, 2010 18:22:36 UTC 2010 年 9 月 27 日 (月) 3 時 22 分 36 秒 (日本時間)
403e62126110Ignacio SantosSeptember 26, 2010 18:22:36 UTC 2010 年 9 月 27 日 (月) 3 時 22 分 36 秒 (日本時間)
2016Serge BatalovSeptember 26, 2010 20:43:32 UTC 2010 年 9 月 27 日 (月) 5 時 43 分 32 秒 (日本時間)
4511e6403232Ignacio SantosSeptember 26, 2010 18:22:36 UTC 2010 年 9 月 27 日 (月) 3 時 22 分 36 秒 (日本時間)
4000Wataru SakaiOctober 2, 2010 07:37:37 UTC 2010 年 10 月 2 日 (土) 16 時 37 分 37 秒 (日本時間)

85×10197+239

c85

name 名前Erik Branger
date 日付September 26, 2010 14:32:02 UTC 2010 年 9 月 26 日 (日) 23 時 32 分 2 秒 (日本時間)
composite number 合成数
3159857259571688261714017150363783016420784719373435085601419122865823096904682872109<85>
prime factors 素因数
300297741436159051690587996879938101<36>
10522414336051372439083390978326256416612842909209<50>
factorization results 素因数分解の結果
09/26/2010 16:26:35 v1.19.2 @ PULSE, starting SIQS on c85: 3159857259571688261714017150363783016420784719373435085601419122865823096904682872109
09/26/2010 16:26:35 v1.19.2 @ PULSE, random seeds: 0, 3887914244
09/26/2010 16:26:35 v1.19.2 @ PULSE, ==== sieve params ====
09/26/2010 16:26:35 v1.19.2 @ PULSE, n = 85 digits, 281 bits
09/26/2010 16:26:35 v1.19.2 @ PULSE, factor base: 55137 primes (max prime = 1450429)
09/26/2010 16:26:35 v1.19.2 @ PULSE, single large prime cutoff: 137790755 (95 * pmax)
09/26/2010 16:26:35 v1.19.2 @ PULSE, double large prime range from 42 to 49 bits
09/26/2010 16:26:35 v1.19.2 @ PULSE, double large prime cutoff: 447297162957993
09/26/2010 16:26:35 v1.19.2 @ PULSE, allocating 22 large prime slices of factor base
09/26/2010 16:26:35 v1.19.2 @ PULSE, buckets hold 1024 elements
09/26/2010 16:26:35 v1.19.2 @ PULSE, sieve interval: 7 blocks of size 65536
09/26/2010 16:26:35 v1.19.2 @ PULSE, polynomial A has ~ 11 factors
09/26/2010 16:26:35 v1.19.2 @ PULSE, using multiplier of 1
09/26/2010 16:26:35 v1.19.2 @ PULSE, using small prime variation correction of 20 bits
09/26/2010 16:26:35 v1.19.2 @ PULSE, using SSE2 for trial division and x128 sieve scanning
09/26/2010 16:26:35 v1.19.2 @ PULSE, trial factoring cutoff at 91 bits
09/26/2010 16:26:35 v1.19.2 @ PULSE, ==== sieving started ( 4 threads) ====
09/26/2010 16:31:13 v1.19.2 @ PULSE, trial division touched 11576135 sieve locations out of 12837426036736
09/26/2010 16:31:13 v1.19.2 @ PULSE, 55914 relations found: 17981 full + 37933 from 565937 partial, using 13991684 polys (659 A polys)
09/26/2010 16:31:13 v1.19.2 @ PULSE, on average, sieving found 0.04 rels/poly and 2097.84 rels/sec
09/26/2010 16:31:13 v1.19.2 @ PULSE, trial division touched 11576135 sieve locations out of 12837426036736
09/26/2010 16:31:13 v1.19.2 @ PULSE, ==== post processing stage (msieve-1.38) ====
09/26/2010 16:31:13 v1.19.2 @ PULSE, begin with 583918 relations
09/26/2010 16:31:13 v1.19.2 @ PULSE, reduce to 120479 relations in 9 passes
09/26/2010 16:31:16 v1.19.2 @ PULSE, recovered 120479 relations
09/26/2010 16:31:16 v1.19.2 @ PULSE, recovered 86226 polynomials
09/26/2010 16:31:16 v1.19.2 @ PULSE, attempting to build 55914 cycles
09/26/2010 16:31:16 v1.19.2 @ PULSE, found 55914 cycles in 4 passes
09/26/2010 16:31:16 v1.19.2 @ PULSE, distribution of cycle lengths:
09/26/2010 16:31:16 v1.19.2 @ PULSE,    length 1 : 17981
09/26/2010 16:31:16 v1.19.2 @ PULSE,    length 2 : 13687
09/26/2010 16:31:16 v1.19.2 @ PULSE,    length 3 : 10434
09/26/2010 16:31:16 v1.19.2 @ PULSE,    length 4 : 6472
09/26/2010 16:31:16 v1.19.2 @ PULSE,    length 5 : 3693
09/26/2010 16:31:16 v1.19.2 @ PULSE,    length 6 : 1854
09/26/2010 16:31:16 v1.19.2 @ PULSE,    length 7 : 987
09/26/2010 16:31:16 v1.19.2 @ PULSE,    length 9+: 806
09/26/2010 16:31:16 v1.19.2 @ PULSE, largest cycle: 15 relations
09/26/2010 16:31:16 v1.19.2 @ PULSE, matrix is 55137 x 55914 (11.9 MB) with weight 2666857 (47.70/col)
09/26/2010 16:31:16 v1.19.2 @ PULSE, sparse part has weight 2666857 (47.70/col)
09/26/2010 16:31:16 v1.19.2 @ PULSE, filtering completed in 4 passes
09/26/2010 16:31:16 v1.19.2 @ PULSE, matrix is 48465 x 48529 (10.4 MB) with weight 2330837 (48.03/col)
09/26/2010 16:31:16 v1.19.2 @ PULSE, sparse part has weight 2330837 (48.03/col)
09/26/2010 16:31:16 v1.19.2 @ PULSE, saving the first 48 matrix rows for later
09/26/2010 16:31:16 v1.19.2 @ PULSE, matrix is 48417 x 48529 (9.1 MB) with weight 2031866 (41.87/col)
09/26/2010 16:31:16 v1.19.2 @ PULSE, sparse part has weight 1912575 (39.41/col)
09/26/2010 16:31:16 v1.19.2 @ PULSE, matrix includes 64 packed rows
09/26/2010 16:31:16 v1.19.2 @ PULSE, using block size 10922 for processor cache size 256 kB
09/26/2010 16:31:17 v1.19.2 @ PULSE, commencing Lanczos iteration
09/26/2010 16:31:17 v1.19.2 @ PULSE, memory use: 7.5 MB
09/26/2010 16:31:24 v1.19.2 @ PULSE, lanczos halted after 767 iterations (dim = 48409)
09/26/2010 16:31:24 v1.19.2 @ PULSE, recovered 12 nontrivial dependencies
09/26/2010 16:31:24 v1.19.2 @ PULSE, prp36 = 300297741436159051690587996879938101
09/26/2010 16:31:24 v1.19.2 @ PULSE, prp50 = 10522414336051372439083390978326256416612842909209
09/26/2010 16:31:24 v1.19.2 @ PULSE, Lanczos elapsed time = 11.3290 seconds.
09/26/2010 16:31:24 v1.19.2 @ PULSE, Sqrt elapsed time = 0.2140 seconds.
09/26/2010 16:31:24 v1.19.2 @ PULSE, SIQS elapsed time = 289.8846 seconds.
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)

85×10198+239

c172

name 名前Serge Batalov
date 日付September 27, 2010 00:02:12 UTC 2010 年 9 月 27 日 (月) 9 時 2 分 12 秒 (日本時間)
composite number 合成数
1647536652666774979090324428263432735874259555907503079572714056377339334624050383057419995462759233631754248062747242779875699430075462404591394813626464773312520588237583<172>
prime factors 素因数
36375472497601448005954940636588867<35>
45292515520600081071320147187373481731055469552145971563533641573737354736268258314379140228528359044145697763194186454123626820740769349<137>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2701410666
Step 1 took 7690ms
Step 2 took 3926ms
********** Factor found in step 2: 36375472497601448005954940636588867
Found probable prime factor of 35 digits: 36375472497601448005954940636588867
Probable prime cofactor has 137 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)

85×10199+239

c173

composite cofactor 合成数の残り
21781694847342792165595494900049974512368675197927807918911360586775277579229230092426704188126829579735437762822879490116272577682718434260219236053536438386281656059054999<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 24, 2010 06:56:04 UTC 2010 年 11 月 24 日 (水) 15 時 56 分 4 秒 (日本時間)
403e61110110Ignacio SantosNovember 24, 2010 06:56:04 UTC 2010 年 11 月 24 日 (水) 15 時 56 分 4 秒 (日本時間)
1000Dmitry DomanovJune 3, 2012 11:36:33 UTC 2012 年 6 月 3 日 (日) 20 時 36 分 33 秒 (日本時間)
4511e6432 / 421632Ignacio SantosNovember 24, 2010 06:56:04 UTC 2010 年 11 月 24 日 (水) 15 時 56 分 4 秒 (日本時間)
400Dmitry DomanovJune 3, 2012 11:36:33 UTC 2012 年 6 月 3 日 (日) 20 時 36 分 33 秒 (日本時間)

85×10200+239

c182

name 名前Serge Batalov
date 日付September 26, 2010 17:50:23 UTC 2010 年 9 月 27 日 (月) 2 時 50 分 23 秒 (日本時間)
composite number 合成数
18039309786068466964084756343590172510476936733802274647863755019938603533058315000129499085284926864986834077032063365426495622006403460558224174052760700512974636067962749896469641<182>
prime factors 素因数
2533195361233292304352043023406243<34>
7121168016542547769108865718382005207258745745782424717886653171496245787524328082998234531431046616926591550436850601010258051507137764999419535587<148>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=765735042
Step 1 took 6036ms
Step 2 took 2975ms
********** Factor found in step 2: 2533195361233292304352043023406243
Found probable prime factor of 34 digits: 2533195361233292304352043023406243
Probable prime cofactor has 148 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 26, 2010 07:00:00 UTC 2010 年 9 月 26 日 (日) 16 時 0 分 0 秒 (日本時間)

85×10201+239

c191

name 名前Serge Batalov
date 日付May 27, 2012 19:40:57 UTC 2012 年 5 月 28 日 (月) 4 時 40 分 57 秒 (日本時間)
composite number 合成数
10974026566085245349843348085778769096782028915588057406477526100211152090584142237494125559097248944486638035514946847208343666009270565759485183993255220268265445017517557521953068316858559<191>
prime factors 素因数
12229010317115608344216346859587<32>
897376507298068144862778589798367207239293659834226193817669922576552648176639026249537434645144314495201483693234190731509964514552493732953111481326824678357<159>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3281000447
Step 1 took 8624ms
Step 2 took 6449ms
********** Factor found in step 2: 12229010317115608344216346859587
Found probable prime factor of 32 digits: 12229010317115608344216346859587
Probable prime cofactor 89737650729806814486277858979836720723929365983422619381766992257655264817663902624953743464514431449520148369323419073
1509964514552493732953111481326824678357 has 159 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)

85×10202+239

c188

name 名前Serge Batalov
date 日付May 27, 2012 19:38:56 UTC 2012 年 5 月 28 日 (月) 4 時 38 分 56 秒 (日本時間)
composite number 合成数
14349896726171234240544363645257778769985719487029490502914729815960542643786012250217230177265188723501697433148077671242231833303678933073048429143423296673728122308762742995066175630317<188>
prime factors 素因数
11254943826250564112717336113<29>
1274986081467783994279211885629734058045683889780978039438225972812153897453314667760100748647161014062396551388666990974550088368311119105574039879804024938109<160>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3524218671
Step 1 took 8585ms
Step 2 took 6428ms
********** Factor found in step 2: 11254943826250564112717336113
Found probable prime factor of 29 digits: 11254943826250564112717336113
Probable prime cofactor 12749860814677839942792118856297340580456838897809780394382259728121538974533146677601007486471610140623965513886669909
74550088368311119105574039879804024938109 has 160 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)

85×10203+239

c182

composite cofactor 合成数の残り
85579730628797292437824058217511695409506710327938932224832907000779634565353389950192310161782359266020900860765319977747422161269662044486637857777794329197572740972571555625475863<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 11:36:50 UTC 2012 年 6 月 3 日 (日) 20 時 36 分 50 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovJune 3, 2012 11:36:50 UTC 2012 年 6 月 3 日 (日) 20 時 36 分 50 秒 (日本時間)

85×10204+239

c202

name 名前Serge Batalov
date 日付May 28, 2012 02:43:17 UTC 2012 年 5 月 28 日 (月) 11 時 43 分 17 秒 (日本時間)
composite number 合成数
1431627170599430717666279285196975056001886379330672191063277920940494837720849544405706297475283377966415710844996884105569871827261549862732218348407525306115574419348862277466188334764960503932764051<202>
prime factors 素因数
4856518474673505478363416285063431<34>
composite cofactor 合成数の残り
294784664789250347860036970308960555143103697051523462392107098334569498464401465937128574096862545233536184560532664322956271347860987822370928282849643705683297472021<168>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1998113387
Step 1 took 17065ms
Step 2 took 12597ms
********** Factor found in step 2: 4856518474673505478363416285063431
Found probable prime factor of 34 digits: 4856518474673505478363416285063431
Composite cofactor 294784664789250347860036970308960555143103697051523462392107098334569498464401465937128574096862545233536184560532664322956271347860987822370928282849643705683297472021 has 168 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 11:37:02 UTC 2012 年 6 月 3 日 (日) 20 時 37 分 2 秒 (日本時間)
4511e6400 / 2851Dmitry DomanovJune 3, 2012 11:37:02 UTC 2012 年 6 月 3 日 (日) 20 時 37 分 2 秒 (日本時間)
5043e6400 / 7425Dmitry DomanovJune 3, 2012 12:52:55 UTC 2012 年 6 月 3 日 (日) 21 時 52 分 55 秒 (日本時間)

85×10207+239

c201

composite cofactor 合成数の残り
177317013884775394927076636160985015454418979155369095659218377882970991960794966244504270370496161146102746327006872972258692681333917010877061622938027643150878027020204917012059870409675294101076201<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 11:37:16 UTC 2012 年 6 月 3 日 (日) 20 時 37 分 16 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovJune 3, 2012 11:37:16 UTC 2012 年 6 月 3 日 (日) 20 時 37 分 16 秒 (日本時間)

85×10208+239

c140

name 名前Erik Branger
date 日付August 18, 2016 13:04:15 UTC 2016 年 8 月 18 日 (木) 22 時 4 分 15 秒 (日本時間)
composite number 合成数
39350757327182908040707617278207791626170165141236645011873079607095984115916981654656971204928764042309718114006731083969472980787880120293<140>
prime factors 素因数
397676595676109756585547465586997650785444351110896001<54>
98951655076107077947254624154995131627713487176037652735759701640591924446581955592293<86>
factorization results 素因数分解の結果
Number: 94447_208
N = 39350757327182908040707617278207791626170165141236645011873079607095984115916981654656971204928764042309718114006731083969472980787880120293 (140 digits)
Divisors found:
r1=397676595676109756585547465586997650785444351110896001 (pp54)
r2=98951655076107077947254624154995131627713487176037652735759701640591924446581955592293 (pp86)
Version: Msieve v. 1.51 (SVN 845)
Total time: 320.01 hours.
Factorization parameters were as follows:
# Murphy_E = 2.247e-11, selected by Erik Branger
# expecting poly E from 2.17e-011 to > 2.50e-011
n: 39350757327182908040707617278207791626170165141236645011873079607095984115916981654656971204928764042309718114006731083969472980787880120293
Y0: -1727739774126138714816413941
Y1: 578157249519691
c0: 11032550809374627177836508497826720
c1: 21640783602888702545335184718
c2: -28379154917177742234189
c3: -14073333176703475
c4: 10367135363
c5: 2556
skew: 1697951.45
type: gnfs
# selected mechanically
rlim: 17800000
alim: 17800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17800000/17800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23047499
Relations: 3169616 relations
Pruned matrix : 2004147 x 2004372
Polynomial selection time: 0.00 hours.
Total sieving time: 315.10 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.65 hours.
time per square root: 1.06 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,17800000,17800000,28,28,55,55,2.6,2.6,100000
total time: 320.01 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 11:37:37 UTC 2012 年 6 月 3 日 (日) 20 時 37 分 37 秒 (日本時間)
4511e64300400Dmitry DomanovJune 3, 2012 11:37:37 UTC 2012 年 6 月 3 日 (日) 20 時 37 分 37 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:46:11 UTC 2013 年 11 月 8 日 (金) 10 時 46 分 11 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:18 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 18 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:27 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 27 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:20 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 20 秒 (日本時間)
5043e6400 / 6550Dmitry DomanovJune 3, 2012 12:47:08 UTC 2012 年 6 月 3 日 (日) 21 時 47 分 8 秒 (日本時間)

85×10209+239

c206

name 名前Robert Backstrom
date 日付August 21, 2012 16:03:55 UTC 2012 年 8 月 22 日 (水) 1 時 3 分 55 秒 (日本時間)
composite number 合成数
17295299951369686019089941663970634615423745022514411054341832447203553471980596708195733961661406860740279532742037549113565008963034857150996107540140356445958291875481979314821258161855521168429769891121<206>
prime factors 素因数
12046224006381879582235581495311010949138358168595822006353016111122601113524187338208207<89>
1435744507341631490696130149746897149021439535757556885394682931035984919009303149697601366473140321014224320113909503<118>
factorization results 素因数分解の結果
Number: n
N=17295299951369686019089941663970634615423745022514411054341832447203553471980596708195733961661406860740279532742037549113565008963034857150996107540140356445958291875481979314821258161855521168429769891121
  ( 206 digits)
SNFS difficulty: 210 digits.
Divisors found:

Wed Aug 22 01:18:28 2012  prp89 factor: 12046224006381879582235581495311010949138358168595822006353016111122601113524187338208207
Wed Aug 22 01:18:28 2012  prp118 factor: 1435744507341631490696130149746897149021439535757556885394682931035984919009303149697601366473140321014224320113909503
Wed Aug 22 01:18:28 2012  elapsed time 17:51:20 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.086).
Factorization parameters were as follows:
name: KA_94447_209
n: 17295299951369686019089941663970634615423745022514411054341832447203553471980596708195733961661406860740279532742037549113565008963034857150996107540140356445958291875481979314821258161855521168429769891121
m: 500000000000000000000000000000000000000000
#  c206, diff: 210.93
skew: 0.61
deg: 5
c5: 272
c0: 23
# Murphy_E = 5.235e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 41900000)
Primes: RFBsize:1448221, AFBsize:1448996, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8946098 hash collisions in 57881989 relations (50853939 unique)
Msieve: matrix is 3247991 x 3248216 (919.8 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,210,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
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.. 5662.11 BogoMIPS (lpj=2831056)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22644.83 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 11:39:08 UTC 2012 年 6 月 3 日 (日) 20 時 39 分 8 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovJune 3, 2012 11:39:08 UTC 2012 年 6 月 3 日 (日) 20 時 39 分 8 秒 (日本時間)

85×10210+239

c178

composite cofactor 合成数の残り
1704340868261886737019593858628293220656520917453187229753121219979656003090133004231433268266711192297606070983104957870691155867963742881621207489868609021278188729909456090599<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 11:39:38 UTC 2012 年 6 月 3 日 (日) 20 時 39 分 38 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovJune 3, 2012 11:39:38 UTC 2012 年 6 月 3 日 (日) 20 時 39 分 38 秒 (日本時間)

85×10213+239

c203

name 名前Dmitry Domanov
date 日付May 30, 2012 13:47:10 UTC 2012 年 5 月 30 日 (水) 22 時 47 分 10 秒 (日本時間)
composite number 合成数
10613394710855641152836859504474658401433720245676918535632449573382567422571221116440827337646648319766827465225293825972187488865555230212795075478401672817111071728713813191174757282049546075784811059<203>
prime factors 素因数
1092128528851547856060304374707748109<37>
composite cofactor 合成数の残り
9718082103409928664238795158297041817669648386130931034116634507070885656885566716518919165036565712943026627312688573158282406099581158251466264140695821761624767551<166>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=722753149
Step 1 took 27338ms
Step 2 took 10327ms
********** Factor found in step 2: 1092128528851547856060304374707748109
Found probable prime factor of 37 digits: 1092128528851547856060304374707748109

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 11:39:53 UTC 2012 年 6 月 3 日 (日) 20 時 39 分 53 秒 (日本時間)
4511e6400 / 2851Dmitry DomanovJune 3, 2012 11:39:53 UTC 2012 年 6 月 3 日 (日) 20 時 39 分 53 秒 (日本時間)
5043e6400 / 7425Dmitry DomanovJune 3, 2012 12:53:17 UTC 2012 年 6 月 3 日 (日) 21 時 53 分 17 秒 (日本時間)

85×10215+239

c178

composite cofactor 合成数の残り
1703967433966474299738104650805811791601153035383250009671567828357546747711699058114700594501465908457176878577152958718949173431332882780295850476299920441316723930295728883641<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 11:40:05 UTC 2012 年 6 月 3 日 (日) 20 時 40 分 5 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovJune 3, 2012 11:40:05 UTC 2012 年 6 月 3 日 (日) 20 時 40 分 5 秒 (日本時間)

85×10216+239

c204

composite cofactor 合成数の残り
420595420599074604351465784980026852024532153594387611934539444239976199960277425796967722836438104382086591365113937848360827777368388529121022471564064663071786919387577928825576055676701309328959365299<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 11:40:17 UTC 2012 年 6 月 3 日 (日) 20 時 40 分 17 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovJune 3, 2012 11:40:17 UTC 2012 年 6 月 3 日 (日) 20 時 40 分 17 秒 (日本時間)

85×10217+239

c196

name 名前Dmitry Domanov
date 日付May 31, 2012 07:11:23 UTC 2012 年 5 月 31 日 (木) 16 時 11 分 23 秒 (日本時間)
composite number 合成数
2525912986429420513283456378789318711593574879210694651340752282193497709215848940069841921046702014082551514012713031788839179216913177208025934675342849976239276147187982868826366609776780135679<196>
prime factors 素因数
1233666972281350804146296799225266482133<40>
2047483675240484054053228709342958350966820909585991704642790402221117896161523201718766171750296643530439235393848684042823080391014801588559748267247756163<157>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=927443832
Step 1 took 139973ms
Step 2 took 41472ms
********** Factor found in step 2: 1233666972281350804146296799225266482133
Found probable prime factor of 40 digits: 1233666972281350804146296799225266482133

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)

85×10219+239

c207

composite cofactor 合成数の残り
852376626178064190241751081292268768176254495388430406628336473301554371141007867383375700738192758625117505704215804329152435320397769561833199730171251447266975418862082765387191870517943340056069090471869<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 11:40:31 UTC 2012 年 6 月 3 日 (日) 20 時 40 分 31 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovJune 3, 2012 11:40:31 UTC 2012 年 6 月 3 日 (日) 20 時 40 分 31 秒 (日本時間)

85×10220+239

c214

name 名前Serge Batalov
date 日付May 27, 2012 19:41:19 UTC 2012 年 5 月 28 日 (月) 4 時 41 分 19 秒 (日本時間)
composite number 合成数
7383865328234227049463271607085866422627311498409615307652788309558633445978976710758853825692253228115163524080552619600397543834511976321177432207668276184257114391163080318933293109509785267727533527765275156397<214>
prime factors 素因数
449877392929212105637146377918835686831<39>
composite cofactor 合成数の残り
16413061523622888769537494800422735736979748523695434313312912728267241892405035529566272526620101682516658581884436936196706931989015608750446730462098909817766460293637049187<176>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=217229103
Step 1 took 11289ms
Step 2 took 7676ms
********** Factor found in step 2: 449877392929212105637146377918835686831
Found probable prime factor of 39 digits: 449877392929212105637146377918835686831
Composite cofactor 1641306152362288876953749480042273573697974852369543431331291272826724189240503552956627252662010168251665858188443693619670
6931989015608750446730462098909817766460293637049187 has 176 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 11:40:52 UTC 2012 年 6 月 3 日 (日) 20 時 40 分 52 秒 (日本時間)
4511e6400 / 2851Dmitry DomanovJune 3, 2012 11:40:52 UTC 2012 年 6 月 3 日 (日) 20 時 40 分 52 秒 (日本時間)
5043e6400 / 7425Dmitry DomanovJune 3, 2012 12:53:41 UTC 2012 年 6 月 3 日 (日) 21 時 53 分 41 秒 (日本時間)

85×10222+239

c196

name 名前Dmitry Domanov
date 日付May 29, 2012 12:01:20 UTC 2012 年 5 月 29 日 (火) 21 時 1 分 20 秒 (日本時間)
composite number 合成数
1231969221196201780300776317262632163910438993095938982052254880331573541391814481313275041494605128822634297095329613255656855459371384178617875444860716366709740093382471904095164344322879748729<196>
prime factors 素因数
8044221842271800868980458531706029<34>
composite cofactor 合成数の残り
153149583061259337971988654249387299219898522097067308137039190981105147936731430103858464006506572766238518543982731519512909960412878612167593166233203164146301<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1410440118
Step 1 took 27042ms
Step 2 took 9916ms
********** Factor found in step 2: 8044221842271800868980458531706029
Found probable prime factor of 34 digits: 8044221842271800868980458531706029

c162

name 名前Dmitry Domanov
date 日付June 4, 2012 07:30:48 UTC 2012 年 6 月 4 日 (月) 16 時 30 分 48 秒 (日本時間)
composite number 合成数
153149583061259337971988654249387299219898522097067308137039190981105147936731430103858464006506572766238518543982731519512909960412878612167593166233203164146301<162>
prime factors 素因数
248396343301795547176940888486219543110178203<45>
616553291507944221214257916687696798329540023924330304386050021074594381255788603281039019829699980280689437305408967<117>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=231920057
Step 1 took 302102ms
Step 2 took 79001ms
********** Factor found in step 2: 248396343301795547176940888486219543110178203
Found probable prime factor of 45 digits: 248396343301795547176940888486219543110178203

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 11:41:18 UTC 2012 年 6 月 3 日 (日) 20 時 41 分 18 秒 (日本時間)
4511e6400 / 2851Dmitry DomanovJune 3, 2012 11:41:18 UTC 2012 年 6 月 3 日 (日) 20 時 41 分 18 秒 (日本時間)
5043e6400 / 7425Dmitry DomanovJune 3, 2012 12:49:30 UTC 2012 年 6 月 3 日 (日) 21 時 49 分 30 秒 (日本時間)

85×10224+239

c201

composite cofactor 合成数の残り
902215673800906959042219952182284030081717333125702889704526944097030101475397516969970534916574471440450709274845858306720368103329995781011460185554590633075519539868691732151995556199780306390155999<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 11:41:43 UTC 2012 年 6 月 3 日 (日) 20 時 41 分 43 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovJune 3, 2012 11:41:43 UTC 2012 年 6 月 3 日 (日) 20 時 41 分 43 秒 (日本時間)

85×10225+239

c211

composite cofactor 合成数の残り
4187030122584272510444363927769772818085263520748286404951430604455671642318288144152922270859317527257505552694799397963923545115267123884367211483110839964571199157805656121426495527813025267874246636581104931<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 11:41:55 UTC 2012 年 6 月 3 日 (日) 20 時 41 分 55 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovJune 3, 2012 11:41:55 UTC 2012 年 6 月 3 日 (日) 20 時 41 分 55 秒 (日本時間)

85×10226+239

c128

name 名前Dmitry Domanov
date 日付May 29, 2012 12:55:00 UTC 2012 年 5 月 29 日 (火) 21 時 55 分 0 秒 (日本時間)
composite number 合成数
22983180813505110802174115641643910676201912912227361729471790549987003053065094084232603690314428694862667376972837013185609421<128>
prime factors 素因数
4005454039826391131285839910354097467587<40>
118805145358469396201041918488860414475599<42>
48297330935443105869302930043423360923316842017<47>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1058857165
Step 1 took 13506ms
Step 2 took 6518ms
********** Factor found in step 2: 4005454039826391131285839910354097467587
Found probable prime factor of 40 digits: 4005454039826391131285839910354097467587
Composite cofactor 5737971422211418890603078875219714367585821942471889886266866996766869279371781784443183 has 88 digits

starting SIQS on c88: 5737971422211418890603078875219714367585821942471889886266866996766869279371781784443183

==== sieving in progress (16 threads):   67920 relations needed ====
====            Press ctrl-c to abort and save state            ====
68255 rels found: 21978 full + 46277 from 745432 partial, (4899.85 rels/sec)

freed 51 duplicate relations
SIQS elapsed time = 186.2201 seconds.


***factors found***

PRP47 = 48297330935443105869302930043423360923316842017
PRP42 = 118805145358469396201041918488860414475599

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)

85×10227+239

c198

name 名前Dmitry Domanov
date 日付May 29, 2012 05:54:42 UTC 2012 年 5 月 29 日 (火) 14 時 54 分 42 秒 (日本時間)
composite number 合成数
532241960820032375481847096752188691801702880567113107853631441587623867256627281836703600991828392354956115355783387395096122533700702366741203146884076182547714858953466912782603416782890355596471<198>
prime factors 素因数
201738366718582908383366380612944526177<39>
composite cofactor 合成数の残り
2638278327902242756804368799280918701074205943193130629099589580009524674819767424299823296795987635822373016451215475114067872896097487737103539449023781267223<160>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=858070642
Step 1 took 27072ms
Step 2 took 9952ms
********** Factor found in step 2: 201738366718582908383366380612944526177
Found probable prime factor of 39 digits: 201738366718582908383366380612944526177

c160

name 名前Dmitry Domanov
date 日付June 4, 2012 07:30:23 UTC 2012 年 6 月 4 日 (月) 16 時 30 分 23 秒 (日本時間)
composite number 合成数
2638278327902242756804368799280918701074205943193130629099589580009524674819767424299823296795987635822373016451215475114067872896097487737103539449023781267223<160>
prime factors 素因数
8161603638863535014017714929263422583061761<43>
323254895072264330959518969430481623008009477552366139260022760094065921768633390229608765650295065021918550801771543<117>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1507165841
Step 1 took 220176ms
Step 2 took 59880ms
********** Factor found in step 2: 8161603638863535014017714929263422583061761
Found probable prime factor of 43 digits: 8161603638863535014017714929263422583061761

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 11:42:09 UTC 2012 年 6 月 3 日 (日) 20 時 42 分 9 秒 (日本時間)
4511e6400 / 2851Dmitry DomanovJune 3, 2012 11:42:09 UTC 2012 年 6 月 3 日 (日) 20 時 42 分 9 秒 (日本時間)
5043e6400 / 7425Dmitry DomanovJune 3, 2012 12:47:53 UTC 2012 年 6 月 3 日 (日) 21 時 47 分 53 秒 (日本時間)

85×10228+239

c182

composite cofactor 合成数の残り
34616875267942350320429927319888001574344450301815020435196860509358988835201867710399819223139657342475736250998661993662081944383534999784010068639397035836304275373931346299800187<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 11:42:23 UTC 2012 年 6 月 3 日 (日) 20 時 42 分 23 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovJune 3, 2012 11:42:23 UTC 2012 年 6 月 3 日 (日) 20 時 42 分 23 秒 (日本時間)

85×10229+239

c215

composite cofactor 合成数の残り
32711576855120313214001001656584685946360131776694979045664060013941386796297798527044313797095276706341280158110101083729559630439636790344304610833454422013500580883713692543766878437766201707982536461344143655643<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 11:43:09 UTC 2012 年 6 月 3 日 (日) 20 時 43 分 9 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovJune 3, 2012 11:43:09 UTC 2012 年 6 月 3 日 (日) 20 時 43 分 9 秒 (日本時間)

85×10230+239

c218

composite cofactor 合成数の残り
25043817816701219456482258741000399244521805899015416546820317126368399227764894317355634699673323780704073777418538351160659288779432279985253591713000087119030711320784034828524885701223581479364185016318705722792967<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 11:43:21 UTC 2012 年 6 月 3 日 (日) 20 時 43 分 21 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovJune 3, 2012 11:43:21 UTC 2012 年 6 月 3 日 (日) 20 時 43 分 21 秒 (日本時間)

85×10231+239

c218

composite cofactor 合成数の残り
17434077885121079540628494557933978417911979350975947227589249300827952823833065771799927007465009854258496044011199661590769940689299004123582830426684569338355051780840279413451840072025904222278021663633183673641483<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 11:43:35 UTC 2012 年 6 月 3 日 (日) 20 時 43 分 35 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovJune 3, 2012 11:43:35 UTC 2012 年 6 月 3 日 (日) 20 時 43 分 35 秒 (日本時間)

85×10232+239

c150

composite cofactor 合成数の残り
193235403621101875540339213729782793541421051498216291234327159245423838514920272205880408561741894587934453881119966751013631689481321442080003828861<150>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 12:06:15 UTC 2012 年 6 月 3 日 (日) 21 時 6 分 15 秒 (日本時間)
4511e63051400Dmitry DomanovJune 3, 2012 12:06:15 UTC 2012 年 6 月 3 日 (日) 21 時 6 分 15 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:58 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 58 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:02 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 2 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:04 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 4 秒 (日本時間)
501Ignacio SantosDecember 22, 2015 18:07:56 UTC 2015 年 12 月 23 日 (水) 3 時 7 分 56 秒 (日本時間)
5043e6400 / 6830Dmitry DomanovJune 3, 2012 12:48:25 UTC 2012 年 6 月 3 日 (日) 21 時 48 分 25 秒 (日本時間)

85×10234+239

c191

composite cofactor 合成数の残り
93060586491146186355451081025196616506453500567075395554295911073892173093119349479457253099089916236855731321970568294619921412640826277348999779362944552267908893641042641460878649711313243<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 12:06:30 UTC 2012 年 6 月 3 日 (日) 21 時 6 分 30 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovJune 3, 2012 12:06:30 UTC 2012 年 6 月 3 日 (日) 21 時 6 分 30 秒 (日本時間)

85×10236+239

c223

composite cofactor 合成数の残り
9669272690208458962870253752934530590986347021528462377794959481093662189926140998194905161199206065921248660584689031552929898929993018924211897610361727380292298150552058624295435897314038467063145604137800787481028242887<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 12:06:46 UTC 2012 年 6 月 3 日 (日) 21 時 6 分 46 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovJune 3, 2012 12:06:46 UTC 2012 年 6 月 3 日 (日) 21 時 6 分 46 秒 (日本時間)

85×10237+239

c232

composite cofactor 合成数の残り
1521831868767102592719889352438876115348338631367185641770553623992836003333635372199522757106735504314223260863520703600523503001294147917295205608347903083086344497008517191660167996989422677683225468576060771867036511199366617157<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 12:07:08 UTC 2012 年 6 月 3 日 (日) 21 時 7 分 8 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovJune 3, 2012 12:07:08 UTC 2012 年 6 月 3 日 (日) 21 時 7 分 8 秒 (日本時間)

85×10239+239

c215

name 名前Dmitry Domanov
date 日付May 31, 2012 07:13:19 UTC 2012 年 5 月 31 日 (木) 16 時 13 分 19 秒 (日本時間)
composite number 合成数
67969971244630440970774707689441793958238583348307117180271884288674664063337964962855876604402759778805030056342707855914136694753404346517261851123457142187152053872374441684554779717793857850677872620535459624037<215>
prime factors 素因数
11543461561943469157554472665343594252435016783<47>
composite cofactor 合成数の残り
5888179284861494019346415407806320360829747278735900022508901919264381335422718029971747170155111999837274777592829017938724440585842129988554236510077450647666821366539<169>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2585486669
Step 1 took 158537ms
Step 2 took 45671ms
********** Factor found in step 2: 11543461561943469157554472665343594252435016783
Found probable prime factor of 47 digits: 11543461561943469157554472665343594252435016783

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 12:07:24 UTC 2012 年 6 月 3 日 (日) 21 時 7 分 24 秒 (日本時間)
4511e6400 / 2851Dmitry DomanovJune 3, 2012 12:07:24 UTC 2012 年 6 月 3 日 (日) 21 時 7 分 24 秒 (日本時間)
5043e6400 / 7425Dmitry DomanovJune 3, 2012 12:54:08 UTC 2012 年 6 月 3 日 (日) 21 時 54 分 8 秒 (日本時間)

85×10242+239

c228

composite cofactor 合成数の残り
381741567171592272450950377744950674165968514635401703360835982702977281197455268317438793277084570831567551503377020224378716813597767167956587308699163648460031035104643534081680911440536343095062163787531173404593410545038781<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 12:07:36 UTC 2012 年 6 月 3 日 (日) 21 時 7 分 36 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovJune 3, 2012 12:07:36 UTC 2012 年 6 月 3 日 (日) 21 時 7 分 36 秒 (日本時間)

85×10244+239

c237

name 名前Serge Batalov
date 日付May 27, 2012 19:39:35 UTC 2012 年 5 月 28 日 (月) 4 時 39 分 35 秒 (日本時間)
composite number 合成数
820741818918691598226961683723221761680813740292544576653495508170306658081938979643670768016852714691288890335711878850968289810394049936977697950690428246946293191944970585815355324156379592508040414126662645862151570101452736289930597<237>
prime factors 素因数
6775101882149731102336249<25>
121140882188220507766370701372938639523737916662125450622304597846438611566317638562889576516073241604736485930761583339477938138551010282576959375784809794140684111037789749117423797542883715198710410874985640653<213>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3806905160
Step 1 took 12713ms
Step 2 took 8360ms
********** Factor found in step 2: 6775101882149731102336249
Found probable prime factor of 25 digits: 6775101882149731102336249
Probable prime cofactor 12114088218822050776637070137293863952373791666212545062230459784643861156631763856288957651607324160473648593076158333
9477938138551010282576959375784809794140684111037789749117423797542883715198710410874985640653 has 213 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)

85×10245+239

c211

name 名前Serge Batalov
date 日付May 27, 2012 19:40:29 UTC 2012 年 5 月 28 日 (月) 4 時 40 分 29 秒 (日本時間)
composite number 合成数
6536558855554184035388578952320521463697063655629999081785053969273825799694598884223358229226197010470803291210663981111393915844379914886088682923756219433523882671801552686706455387500011488249267361989100753<211>
prime factors 素因数
37415041088961620688068123431<29>
composite cofactor 合成数の残り
174704040549153198773240404167988757874769545713092434031730469242892719011847230988798672261606352079447017145452633521090042185970868619397948788920225550787186861706296532862286663<183>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=996495291
Step 1 took 10125ms
Step 2 took 7408ms
********** Factor found in step 2: 37415041088961620688068123431
Found probable prime factor of 29 digits: 37415041088961620688068123431
Composite cofactor 1747040405491531987732404041679887578747695457130924340317304692428927190118472309887986722616063520794470171454526335210900
42185970868619397948788920225550787186861706296532862286663 has 183 digits

c183

name 名前Dmitry Domanov
date 日付May 29, 2012 05:54:02 UTC 2012 年 5 月 29 日 (火) 14 時 54 分 2 秒 (日本時間)
composite number 合成数
174704040549153198773240404167988757874769545713092434031730469242892719011847230988798672261606352079447017145452633521090042185970868619397948788920225550787186861706296532862286663<183>
prime factors 素因数
4194718933145096319346861654003151<34>
composite cofactor 合成数の残り
41648568910948328541610459171635443477745078225323734793914724830735141596064371686756505860730914374435085533517228994973153530412973463722632040713<149>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=20303964
Step 1 took 23652ms
Step 2 took 8929ms
********** Factor found in step 2: 4194718933145096319346861654003151
Found probable prime factor of 34 digits: 4194718933145096319346861654003151

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 12:07:50 UTC 2012 年 6 月 3 日 (日) 21 時 7 分 50 秒 (日本時間)
4511e62870400Dmitry DomanovJune 3, 2012 12:07:50 UTC 2012 年 6 月 3 日 (日) 21 時 7 分 50 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:55 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 55 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:58 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 58 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:01:58 UTC 2014 年 5 月 25 日 (日) 4 時 1 分 58 秒 (日本時間)
320Ignacio SantosDecember 22, 2015 17:01:56 UTC 2015 年 12 月 23 日 (水) 2 時 1 分 56 秒 (日本時間)
5043e6400 / 6871Dmitry DomanovJune 3, 2012 12:48:50 UTC 2012 年 6 月 3 日 (日) 21 時 48 分 50 秒 (日本時間)

85×10246+239

c223

name 名前Dmitry Domanov
date 日付May 31, 2012 07:10:38 UTC 2012 年 5 月 31 日 (木) 16 時 10 分 38 秒 (日本時間)
composite number 合成数
1057402755195127536161877771211151175668945246756825721281408237057616296508300944153965596369031635593160503752309128792353213800200604945622646602765091978468216930425439326442869481639062834899469536520731003053488672933<223>
prime factors 素因数
21394462780114801644044053541069746863137<41>
composite cofactor 合成数の残り
49424132125343021328177414991129258483588683016328985097394984665684456298458508205445959922436733979959386528275017235119552429550690967437178529972711605860521405264782060596143109<182>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=245666845
Step 1 took 158478ms
Step 2 took 47661ms
********** Factor found in step 2: 21394462780114801644044053541069746863137
Found probable prime factor of 41 digits: 21394462780114801644044053541069746863137

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 12:08:06 UTC 2012 年 6 月 3 日 (日) 21 時 8 分 6 秒 (日本時間)
4511e6400 / 2851Dmitry DomanovJune 3, 2012 12:08:06 UTC 2012 年 6 月 3 日 (日) 21 時 8 分 6 秒 (日本時間)
5043e6400 / 7425Dmitry DomanovJune 3, 2012 12:54:32 UTC 2012 年 6 月 3 日 (日) 21 時 54 分 32 秒 (日本時間)

85×10247+239

c236

name 名前Dmitry Domanov
date 日付May 29, 2012 14:25:00 UTC 2012 年 5 月 29 日 (火) 23 時 25 分 0 秒 (日本時間)
composite number 合成数
11657750048960771757576522171285916033061006815935805005035575934416875722264203067033842866043248689483215268025680013802642400356592419386301761465927920891676833111071069307223231643359409462006167045715425241191126896305063052117599<236>
prime factors 素因数
141272213302019574011086812479063231<36>
composite cofactor 合成数の残り
82519766459934955813657407434956031506457358185882344421958967580770849148242466943890788860828632380934250100199066339388048578197056376997217089445083150858163950804713028507008748280181780906296929<200>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3377130927
Step 1 took 34893ms
Step 2 took 12058ms
********** Factor found in step 2: 141272213302019574011086812479063231
Found probable prime factor of 36 digits: 141272213302019574011086812479063231

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 3, 2012 12:08:18 UTC 2012 年 6 月 3 日 (日) 21 時 8 分 18 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovJune 3, 2012 12:08:18 UTC 2012 年 6 月 3 日 (日) 21 時 8 分 18 秒 (日本時間)

85×10250+239

c207

name 名前Dmitry Domanov
date 日付May 30, 2012 19:29:22 UTC 2012 年 5 月 31 日 (木) 4 時 29 分 22 秒 (日本時間)
composite number 合成数
222477169237543114009343472059965392434456767823490700092412724561121572353988860021303970845993457532593994637282985450798612165854452455093131895039623530686396705042406134791454036103057148849135312268297<207>
prime factors 素因数
7674880006505586541572192890609362636025117<43>
28987706524266318245240585207306131037421948200869807441203171885593756744317900204994943663515489305635521771838685717292850111130137262758815543919973210754040541<164>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1493713847
Step 1 took 141676ms
Step 2 took 42629ms
********** Factor found in step 2: 7674880006505586541572192890609362636025117
Found probable prime factor of 43 digits: 7674880006505586541572192890609362636025117

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 27, 2012 07:00:00 UTC 2012 年 5 月 27 日 (日) 16 時 0 分 0 秒 (日本時間)
403e62400Dmitry DomanovMay 28, 2012 11:36:51 UTC 2012 年 5 月 28 日 (月) 20 時 36 分 51 秒 (日本時間)
4511e64000Dmitry DomanovMay 30, 2012 13:51:21 UTC 2012 年 5 月 30 日 (水) 22 時 51 分 21 秒 (日本時間)