Table of contents 目次

41×10113-149

c93

name 名前Ignacio Santos
date 日付May 7, 2022 18:12:59 UTC 2022 年 5 月 8 日 (日) 3 時 12 分 59 秒 (日本時間)
composite number 合成数
170604869694788093905091455966925999271538341921934357239589521757174916370543622369273523593<93>
prime factors 素因数
1582381665720719336776169680552977583191307<43>
107815246719939440649887458558344608873910300400699<51>
factorization results 素因数分解の結果
prp43 = 1582381665720719336776169680552977583191307
prp51 = 107815246719939440649887458558344608873910300400699
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
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10115-149

c102

name 名前Ignacio Santos
date 日付May 7, 2022 16:38:25 UTC 2022 年 5 月 8 日 (日) 1 時 38 分 25 秒 (日本時間)
composite number 合成数
527469091252564464825694892018766606420189496332360014234382161653115688656500901177126540505579642251<102>
prime factors 素因数
3835289234524868701263347127137225203044267007859<49>
137530459633746368734384544271185455248823193661969289<54>
factorization results 素因数分解の結果
N=527469091252564464825694892018766606420189496332360014234382161653115688656500901177126540505579642251
  ( 102 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=3835289234524868701263347127137225203044267007859 (pp49)
 r2=137530459633746368734384544271185455248823193661969289 (pp54)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.59 hours.
Scaled time: 4.63 units (timescale=7.886).
Factorization parameters were as follows:
n: 527469091252564464825694892018766606420189496332360014234382161653115688656500901177126540505579642251
m: 50000000000000000000000000000
deg: 4
c4: 164
c0: -35
skew: 0.68
# Murphy_E = 4.832e-08
type: snfs
lss: 1
rlim: 620000
alim: 620000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 620000/620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [310000, 770001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 85635 x 85868
Total sieving time: 0.58 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,117.000,4,0,0,0,0,0,0,0,0,620000,620000,25,25,45,45,2.2,2.2,20000
total time: 0.59 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10118-149

c113

name 名前Ignacio Santos
date 日付May 7, 2022 16:44:25 UTC 2022 年 5 月 8 日 (日) 1 時 44 分 25 秒 (日本時間)
composite number 合成数
37692020158060107556477814936593748236059422481028503073370550985627940781975197915281944584640373081131429867929<113>
prime factors 素因数
579745854505800208263964968191934611525917<42>
65014729928841618966100079685623221071702906041761823396619633073477037<71>
factorization results 素因数分解の結果
N=37692020158060107556477814936593748236059422481028503073370550985627940781975197915281944584640373081131429867929
  ( 113 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=579745854505800208263964968191934611525917 (pp42)
 r2=65014729928841618966100079685623221071702906041761823396619633073477037 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.87 hours.
Scaled time: 6.79 units (timescale=7.819).
Factorization parameters were as follows:
n: 37692020158060107556477814936593748236059422481028503073370550985627940781975197915281944584640373081131429867929
m: 100000000000000000000000000000
deg: 4
c4: 2050
c0: -7
skew: 0.24
# Murphy_E = 4.108e-08
type: snfs
lss: 1
rlim: 680000
alim: 680000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 680000/680000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [340000, 590001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 67889 x 68114
Total sieving time: 0.86 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,119.000,4,0,0,0,0,0,0,0,0,680000,680000,25,25,45,45,2.2,2.2,50000
total time: 0.87 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10120-149

c102

name 名前Ignacio Santos
date 日付May 7, 2022 16:47:34 UTC 2022 年 5 月 8 日 (日) 1 時 47 分 34 秒 (日本時間)
composite number 合成数
656429081373599411763772554740592700894256515817309735681610271599524010919553761618686287573724852029<102>
prime factors 素因数
519721338125298253384643296448415871419547<42>
1263040466534284661894912756891602018610399593468901064121607<61>
factorization results 素因数分解の結果
N=656429081373599411763772554740592700894256515817309735681610271599524010919553761618686287573724852029
  ( 102 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=519721338125298253384643296448415871419547 (pp42)
 r2=1263040466534284661894912756891602018610399593468901064121607 (pp61)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.99 hours.
Scaled time: 7.77 units (timescale=7.849).
Factorization parameters were as follows:
n: 656429081373599411763772554740592700894256515817309735681610271599524010919553761618686287573724852029
m: 1000000000000000000000000000000
deg: 4
c4: 41
c0: -14
skew: 0.76
# Murphy_E = 3.075e-08
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [370000, 670001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 87085 x 87333
Total sieving time: 0.98 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,4,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,75000
total time: 0.99 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10125-149

c104

name 名前Ignacio Santos
date 日付May 7, 2022 16:59:11 UTC 2022 年 5 月 8 日 (日) 1 時 59 分 11 秒 (日本時間)
composite number 合成数
30039429115396790939194648713756591576535114418308544886081834206787887217735004112849285688265907652547<104>
prime factors 素因数
397036988268649869634828638133907521870765602721853<51>
75659019192113671022847657317213928057266090633164799<53>
factorization results 素因数分解の結果
N=30039429115396790939194648713756591576535114418308544886081834206787887217735004112849285688265907652547
  ( 104 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=397036988268649869634828638133907521870765602721853 (pp51)
 r2=75659019192113671022847657317213928057266090633164799 (pp53)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.34 hours.
Scaled time: 10.52 units (timescale=7.862).
Factorization parameters were as follows:
n: 30039429115396790939194648713756591576535114418308544886081834206787887217735004112849285688265907652547
m: 10000000000000000000000000000000
deg: 4
c4: 205
c0: -7
skew: 0.43
# Murphy_E = 2.06e-08
type: snfs
lss: 1
rlim: 890000
alim: 890000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 890000/890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [445000, 745001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 123242 x 123468
Total sieving time: 1.32 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126.000,4,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,75000
total time: 1.34 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10127-149

c105

name 名前Ignacio Santos
date 日付May 7, 2022 17:10:12 UTC 2022 年 5 月 8 日 (日) 2 時 10 分 12 秒 (日本時間)
composite number 合成数
561656493838795028128142494837229378599440455321611050160470510833092886033760944199670423719910672396709<105>
prime factors 素因数
5729663128176697386988638049707796458539<40>
98026093554565791837307986512797476068159382884144397850564338031<65>
factorization results 素因数分解の結果
N=561656493838795028128142494837229378599440455321611050160470510833092886033760944199670423719910672396709
  ( 105 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=5729663128176697386988638049707796458539 (pp40)
 r2=98026093554565791837307986512797476068159382884144397850564338031 (pp65)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.99 hours.
Scaled time: 15.26 units (timescale=7.686).
Factorization parameters were as follows:
n: 561656493838795028128142494837229378599440455321611050160470510833092886033760944199670423719910672396709
m: 50000000000000000000000000000000
deg: 4
c4: 164
c0: -35
skew: 0.68
# Murphy_E = 1.294e-08
type: snfs
lss: 1
rlim: 990000
alim: 990000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 990000/990000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [495000, 995001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 153681 x 153906
Total sieving time: 1.96 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,990000,990000,26,26,47,47,2.3,2.3,100000
total time: 1.99 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10134-149

c109

name 名前Taiyo Kodama
date 日付May 9, 2022 12:04:12 UTC 2022 年 5 月 9 日 (月) 21 時 4 分 12 秒 (日本時間)
composite number 合成数
3780581977876287608059629222900734418708591301849361665263100629258795273675358395030300172288526012208891899<109>
prime factors 素因数
8794561473410388442697790653509<31>
10734266151373189969233591880331972287<38>
40047195836465754553479827140375099207553<41>
factorization results 素因数分解の結果
Mon May  9 21:01:53 2022  Msieve v. 1.53 (SVN unknown)
Mon May  9 21:01:53 2022  random seeds: 182b061c 769d6c3f
Mon May  9 21:01:53 2022  factoring 3780581977876287608059629222900734418708591301849361665263100629258795273675358395030300172288526012208891899 (109 digits)
Mon May  9 21:01:53 2022  searching for 15-digit factors
Mon May  9 21:01:53 2022  commencing number field sieve (109-digit input)
Mon May  9 21:01:53 2022  R0: -1000000000000000000000000000000000
Mon May  9 21:01:53 2022  R1: 1
Mon May  9 21:01:53 2022  A0: -7
Mon May  9 21:01:53 2022  A1: 0
Mon May  9 21:01:53 2022  A2: 0
Mon May  9 21:01:53 2022  A3: 0
Mon May  9 21:01:53 2022  A4: 2050
Mon May  9 21:01:53 2022  skew 0.24, size 3.265e-14, alpha 0.145, combined = 6.951e-09 rroots = 2
Mon May  9 21:01:53 2022  
Mon May  9 21:01:53 2022  commencing square root phase
Mon May  9 21:01:53 2022  reading relations for dependency 1
Mon May  9 21:01:53 2022  read 90308 cycles
Mon May  9 21:01:53 2022  cycles contain 288468 unique relations
Mon May  9 21:01:56 2022  read 288468 relations
Mon May  9 21:01:56 2022  multiplying 288468 relations
Mon May  9 21:01:59 2022  multiply complete, coefficients have about 8.68 million bits
Mon May  9 21:02:00 2022  initial square root is modulo 97073
Mon May  9 21:02:03 2022  found factor: 10734266151373189969233591880331972287
Mon May  9 21:02:03 2022  reading relations for dependency 2
Mon May  9 21:02:03 2022  read 90228 cycles
Mon May  9 21:02:03 2022  cycles contain 288468 unique relations
Mon May  9 21:02:06 2022  read 288468 relations
Mon May  9 21:02:06 2022  multiplying 288468 relations
Mon May  9 21:02:09 2022  multiply complete, coefficients have about 8.68 million bits
Mon May  9 21:02:09 2022  initial square root is modulo 97213
Mon May  9 21:02:13 2022  sqrtTime: 20
Mon May  9 21:02:13 2022  p31 factor: 8794561473410388442697790653509
Mon May  9 21:02:13 2022  p38 factor: 10734266151373189969233591880331972287
Mon May  9 21:02:13 2022  p41 factor: 40047195836465754553479827140375099207553
Mon May  9 21:02:13 2022  elapsed time 00:00:20
Mon May 09 21:02:13 2022 -> Computing time scale for this machine...
Mon May 09 21:02:13 2022 -> procrels -speedtest> PIPE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10139-149

c102

name 名前ivelive
date 日付May 10, 2022 03:30:37 UTC 2022 年 5 月 10 日 (火) 12 時 30 分 37 秒 (日本時間)
composite number 合成数
566740940102736492871022411700864225223731238819018248625754260657332979814132447437670836828263312223<102>
prime factors 素因数
9141578942179041662679057106355739581202677<43>
61995957556938705211987201886946624905813707279763765933699<59>
factorization results 素因数分解の結果
starting SIQS on c102: 566740940102736492871022411700864225223731238819018248625754260657332979814132447437670836828263312223

==== sieve params ====
n = 103 digits, 341 bits
factor base: 136304 primes (max prime = 3828113)
single large prime cutoff: 574216950 (150 * pmax)
double large prime range from 44 to 53 bits
double large prime cutoff: 5838977671544046
allocating 11 large prime slices of factor base
buckets hold 2048 elements
using SSE4.1 enabled 32k sieve core
sieve interval: 22 blocks of size 32768
polynomial A has ~ 13 factors
using multiplier of 7
using SPV correction of 20 bits, starting at offset 31
using SSE2 for x128 sieve scanning
using SSE2 for resieving 13-16 bit primes
using SSE2 for 8x trial divison to 13 bits
using SSE4.1 and inline ASM for small prime sieving
using SSE2 for poly updating up to 15 bits
using SSE4.1 for medium prime poly updating
using SSE4.1 and inline ASM for large prime poly updating
trial factoring cutoff at 108 bits

==== sieving in progress (64 threads):  136368 relations needed ====
====            Press ctrl-c to abort and save state            ====
145906 rels found: 34915 full + 110991 from 2034004 partial, (1160.74 rels/sec)

sieving required 4121630 total polynomials
trial division touched 145794175 sieve locations out of 5942533160960
squfof: 2 failures, 1642522 attempts, 40038652 outside range, 8147279 prp, 1530621 useful
QS elapsed time = 1783.8214 seconds.

==== post processing stage (msieve-1.38) ====
begin with 2081374 relations
reduce to 383639 relations in 10 passes
attempting to read 383639 relations
failure to equate relation
Q = 400874357535523284063735491922091693804527598449132380562473279387504992716636338540978853827298945720, RHS = 6853726075344138897029144779301558326119408879746895680508911485989164772811771030444436489202360
failed to read relation 374407
recovered 383638 relations
recovered 366459 polynomials
freed 45 duplicate relations
attempting to build 148053 cycles
found 148053 cycles in 6 passes
distribution of cycle lengths:
   length 1 : 35116
   length 2 : 25356
   length 3 : 25223
   length 4 : 20642
   length 5 : 15699
   length 6 : 10334
   length 7 : 6674
   length 9+: 9009
largest cycle: 21 relations
matrix is 136304 x 148053 (46.6 MB) with weight 11018938 (74.43/col)
sparse part has weight 11018938 (74.43/col)
filtering completed in 4 passes
matrix is 128188 x 128252 (37.0 MB) with weight 8683079 (67.70/col)
sparse part has weight 8683079 (67.70/col)
saving the first 48 matrix rows for later
matrix is 128140 x 128252 (32.0 MB) with weight 7672556 (59.82/col)
sparse part has weight 7099200 (55.35/col)
matrix includes 64 packed rows
using block size 51300 for processor cache size 12288 kB
commencing Lanczos iteration
memory use: 25.1 MB
lanczos halted after 2028 iterations (dim = 128135)
recovered 15 nontrivial dependencies
Lanczos elapsed time = 42.5260 seconds.
Sqrt elapsed time = 0.3850 seconds.
SIQS elapsed time = 1826.7340 seconds.


***factors found***

P59 = 61995957556938705211987201886946624905813707279763765933699
P43 = 9141578942179041662679057106355739581202677

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10140-149

c124

name 名前Ignacio Santos
date 日付May 10, 2022 21:45:24 UTC 2022 年 5 月 11 日 (水) 6 時 45 分 24 秒 (日本時間)
composite number 合成数
1614328205849827465303353701742829508217575748879593138471344571731480907444184283000486308773662208738579186507674398715313<124>
prime factors 素因数
22309652555584874387985257162086323921315840793943647<53>
72360078303671543162269947896489472084070370418950785587500957707357679<71>
factorization results 素因数分解の結果
N=1614328205849827465303353701742829508217575748879593138471344571731480907444184283000486308773662208738579186507674398715313
  ( 124 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=22309652555584874387985257162086323921315840793943647 (pp53)
 r2=72360078303671543162269947896489472084070370418950785587500957707357679 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.80 hours.
Scaled time: 21.96 units (timescale=7.849).
Factorization parameters were as follows:
n: 1614328205849827465303353701742829508217575748879593138471344571731480907444184283000486308773662208738579186507674398715313
m: 10000000000000000000000000000
deg: 5
c5: 41
c0: -14
skew: 0.81
# Murphy_E = 3.593e-09
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 239465 x 239690
Total sieving time: 2.75 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,100000
total time: 2.80 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10144-149

c106

name 名前Eric Jeancolas
date 日付May 12, 2022 09:43:09 UTC 2022 年 5 月 12 日 (木) 18 時 43 分 9 秒 (日本時間)
composite number 合成数
1243516687627713992120501269634151869900045313005161649657746633095550562797514556333235317968619851490763<106>
prime factors 素因数
29773345150969406691907142243804471473<38>
41766105935436873459003519174318445197685542951059517007338119228731<68>
factorization results 素因数分解の結果
1243516687627713992120501269634151869900045313005161649657746633095550562797514556333235317968619851490763=29773345150969406691907142243804471473*41766105935436873459003519174318445197685542951059517007338119228731

cado polynomial
n: 1243516687627713992120501269634151869900045313005161649657746633095550562797514556333235317968619851490763
skew: 0.76
type: snfs
c0: -14
c4: 41
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 41*x^4-14
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1870000
tasks.lim1 = 1870000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 29773345150969406691907142243804471473 41766105935436873459003519174318445197685542951059517007338119228731
Info:Square Root: Total cpu/real time for sqrt: 43.52/14.7058
Info:Filtering - Singleton removal: Total cpu/real time for purge: 33.36/32.5131
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6058380
Info:Lattice Sieving: Average J: 1897.06 for 168371 special-q, max bucket fill -bkmult 1.0,1s:1.307190
Info:Lattice Sieving: Total time: 14121.4s
Info:Linear Algebra: Total cpu/real time for bwc: 952.77/246.59
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 574.19, WCT time 146.67, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8448 iterations)
Info:Linear Algebra: Lingen CPU time 42.01, WCT time 10.71
Info:Linear Algebra: Mksol: CPU time 314.2,  WCT time 80.28, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4224 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.31/22.7861
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.03/47.6058
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 37.4s
Info:Filtering - Merging: Merged matrix has 266839 rows and total weight 45513354 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 54.1/15.1877
Info:Filtering - Merging: Total cpu/real time for replay: 8.45/7.02822
Info:Generate Factor Base: Total cpu/real time for makefb: 0.96/0.519702
Info:Quadratic Characters: Total cpu/real time for characters: 8.55/3.35133
Info:Square Root: Total cpu/real time for sqrt: 43.52/14.7058
Info:Generate Free Relations: Total cpu/real time for freerel: 36.32/11.0489
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 26905.7/7592.13
Info:root: Cleaning up computation data in /tmp/cado.1nxo496s
29773345150969406691907142243804471473 41766105935436873459003519174318445197685542951059517007338119228731
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10145-149

c82

name 名前ivelive
date 日付May 7, 2022 14:49:44 UTC 2022 年 5 月 7 日 (土) 23 時 49 分 44 秒 (日本時間)
composite number 合成数
6710561065508203040931689420773386654435830885084651819743632062485412216041346843<82>
prime factors 素因数
129436661905446301332550152687273552439<39>
51844361301671076445530512160188246393829437<44>
factorization results 素因数分解の結果
starting SIQS on c82: 6710561065508203040931689420773386654435830885084651819743632062485412216041346843

==== sieve params ====
n = 83 digits, 274 bits
factor base: 53072 primes (max prime = 1389481)
single large prime cutoff: 132000695 (95 * pmax)
double large prime range from 41 to 49 bits
double large prime cutoff: 414035130419252
allocating 7 large prime slices of factor base
buckets hold 2048 elements
using SSE4.1 enabled 32k sieve core
sieve interval: 12 blocks of size 32768
polynomial A has ~ 10 factors
using multiplier of 3
using SPV correction of 19 bits, starting at offset 29
using SSE2 for x128 sieve scanning
using SSE2 for resieving 13-16 bit primes
using SSE2 for 8x trial divison to 13 bits
using SSE4.1 and inline ASM for small prime sieving
using SSE2 for poly updating up to 15 bits
using SSE4.1 for medium prime poly updating
using SSE4.1 and inline ASM for large prime poly updating
trial factoring cutoff at 96 bits

==== sieving in progress ( 8 threads):   53136 relations needed ====
====            Press ctrl-c to abort and save state            ====
46592 rels found: 19766 full + 26826 from 376101 partial, (7387.01 rels/sec)

sieving required 147152 total polynomials
trial division touched 5371253 sieve locations out of 115725041664
squfof: 1 failures, 178646 attempts, 1452536 outside range, 1172807 prp, 173023 useful
QS elapsed time = 57.7714 seconds.

==== post processing stage (msieve-1.38) ====
begin with 431653 relations
reduce to 98350 relations in 7 passes
attempting to read 98350 relations
recovered 98350 relations
recovered 71655 polynomials
freed 23 duplicate relations
attempting to build 54334 cycles
found 54334 cycles in 3 passes
distribution of cycle lengths:
   length 1 : 21508
   length 2 : 17985
   length 3 : 8831
   length 4 : 3723
   length 5 : 1473
   length 6 : 517
   length 7 : 202
   length 9+: 95
largest cycle: 12 relations
matrix is 53072 x 54334 (9.7 MB) with weight 2096814 (38.59/col)
sparse part has weight 2096814 (38.59/col)
filtering completed in 4 passes
matrix is 42681 x 42745 (7.7 MB) with weight 1687895 (39.49/col)
sparse part has weight 1687895 (39.49/col)
saving the first 48 matrix rows for later
matrix is 42633 x 42745 (6.7 MB) with weight 1437966 (33.64/col)
sparse part has weight 1328083 (31.07/col)
matrix includes 64 packed rows
using block size 17098 for processor cache size 12288 kB
commencing Lanczos iteration
memory use: 5.8 MB
lanczos halted after 676 iterations (dim = 42626)
recovered 14 nontrivial dependencies
Lanczos elapsed time = 4.8040 seconds.
Sqrt elapsed time = 0.0850 seconds.
SIQS elapsed time = 62.6603 seconds.


***factors found***

P39 = 129436661905446301332550152687273552439
P44 = 51844361301671076445530512160188246393829437

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10146-149

c144

name 名前Bob Backstrom
date 日付May 8, 2022 14:15:33 UTC 2022 年 5 月 8 日 (日) 23 時 15 分 33 秒 (日本時間)
composite number 合成数
101731923973996327725671182571584536747555952558185697980249119150414371495211155773907002133889137015532727904322366135675648851173639025358543<144>
prime factors 素因数
8361170014946730284770115804473340303705870925151202081<55>
12167187581658626318854338109271536425967073214631583015006374928070653668417205388088303<89>
factorization results 素因数分解の結果
Number: n
N=101731923973996327725671182571584536747555952558185697980249119150414371495211155773907002133889137015532727904322366135675648851173639025358543  ( 144 digits)
SNFS difficulty: 147 digits.
Divisors found:

Mon May  9 00:11:26 2022  p55 factor: 8361170014946730284770115804473340303705870925151202081
Mon May  9 00:11:26 2022  p89 factor: 12167187581658626318854338109271536425967073214631583015006374928070653668417205388088303
Mon May  9 00:11:26 2022  elapsed time 00:04:33 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 41x10^146-14 = 45(145)4
#
n: 101731923973996327725671182571584536747555952558185697980249119150414371495211155773907002133889137015532727904322366135675648851173639025358543
m: 100000000000000000000000000000
deg: 5
c5: 205
c0: -7
skew: 0.51
# Murphy_E = 2.059e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 13800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 786471 hash collisions in 7720203 relations (7437629 unique)
Msieve: matrix is 317159 x 317385 (104.9 MB)

Sieving start time : 2022/05/08 23:44:17
Sieving end time  : 2022/05/09 00:03:34

Total sieving time: 0hrs 19min 17secs.

Total relation processing time: 0hrs 1min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 8sec.

Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10150-149

c131

name 名前Ignacio Santos
date 日付May 14, 2022 15:55:10 UTC 2022 年 5 月 15 日 (日) 0 時 55 分 10 秒 (日本時間)
composite number 合成数
23204300618556750779971324800625875256480392027400450500362571328388578309261779504234000243589229379401721797695807851214366458331<131>
prime factors 素因数
185608013843229533292171466901080313087<39>
125017773414438050422361268628765961658960517473918126448360931219732333908671803351166328613<93>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3752083973
Step 1 took 4844ms
Step 2 took 3000ms
********** Factor found in step 2: 185608013843229533292171466901080313087
Found prime factor of 39 digits: 185608013843229533292171466901080313087
Prime cofactor 125017773414438050422361268628765961658960517473918126448360931219732333908671803351166328613 has 93 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10151-149

c133

name 名前Syj
date 日付May 10, 2022 17:37:36 UTC 2022 年 5 月 11 日 (水) 2 時 37 分 36 秒 (日本時間)
composite number 合成数
2255351375459420661201737346747859606172381241027007292097299848570780252011634881249260727837488861416571776769591405009363329617887<133>
prime factors 素因数
2274157043510655679523614279026838742246151263225861<52>
991730708261816262998449528534981089076037546092390232756106872239131703120933267<81>
factorization results 素因数分解の結果
2274157043510655679523614279026838742246151263225861

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10152-149

c119

name 名前Ignacio Santos
date 日付May 14, 2022 17:12:05 UTC 2022 年 5 月 15 日 (日) 2 時 12 分 5 秒 (日本時間)
composite number 合成数
18932306447634190907175301652089380793929421606538307505160841987621496358744075214997149799646223582389871363988813093<119>
prime factors 素因数
38233608804017056910349005395373792301347447782881299<53>
495174456188008256654991779606624372958571222834796976046174156007<66>
factorization results 素因数分解の結果
N=18932306447634190907175301652089380793929421606538307505160841987621496358744075214997149799646223582389871363988813093
  ( 119 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=38233608804017056910349005395373792301347447782881299 (pp53)
 r2=495174456188008256654991779606624372958571222834796976046174156007 (pp66)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.45 hours.
Scaled time: 74.19 units (timescale=7.855).
Factorization parameters were as follows:
n: 18932306447634190907175301652089380793929421606538307505160841987621496358744075214997149799646223582389871363988813093
m: 1000000000000000000000000000000
deg: 5
c5: 2050
c0: -7
skew: 0.32
# Murphy_E = 1.212e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor 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, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 376601 x 376826
Total sieving time: 9.38 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 9.45 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 14, 2022 15:58:43 UTC 2022 年 5 月 15 日 (日) 0 時 58 分 43 秒 (日本時間)

41×10157-149

c154

name 名前Bob Backstrom
date 日付May 9, 2022 05:37:22 UTC 2022 年 5 月 9 日 (月) 14 時 37 分 22 秒 (日本時間)
composite number 合成数
2904217490472749939790613002394208565316559706461529743437176817260968733619505008004306742034652273081445591964526045872469434881777097765877569524133339<154>
prime factors 素因数
13258582534472227479285797585016325411898941253<47>
219044342253163454357886950009343169516939191693596621950816670920320156022115368678891512481409543815944863<108>
factorization results 素因数分解の結果
Number: n
N=2904217490472749939790613002394208565316559706461529743437176817260968733619505008004306742034652273081445591964526045872469434881777097765877569524133339  ( 154 digits)
SNFS difficulty: 158 digits.
Divisors found:

Mon May  9 15:32:49 2022  p47 factor: 13258582534472227479285797585016325411898941253
Mon May  9 15:32:49 2022  p108 factor: 219044342253163454357886950009343169516939191693596621950816670920320156022115368678891512481409543815944863
Mon May  9 15:32:49 2022  elapsed time 00:08:13 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 41x10^157-14 = 45(156)4
#
n: 2904217490472749939790613002394208565316559706461529743437176817260968733619505008004306742034652273081445591964526045872469434881777097765877569524133339
m: 10000000000000000000000000000000
deg: 5
c5: 2050
c0: -7
skew: 0.32
# Murphy_E = 7.793e-10
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  special-q in [100000, 7100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1858370 hash collisions in 17322628 relations (16614663 unique)
Msieve: matrix is 592385 x 592630 (81.1 MB)

Sieving start time : 2022/05/09 14:39:52
Sieving end time  : 2022/05/09 15:24:19

Total sieving time: 0hrs 44min 27secs.

Total relation processing time: 0hrs 2min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 28sec.

Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10158-149

c126

name 名前Ignacio Santos
date 日付May 17, 2022 18:46:00 UTC 2022 年 5 月 18 日 (水) 3 時 46 分 0 秒 (日本時間)
composite number 合成数
162812427352599541155959031381625061875786338944717787387601337382226007585004656710179512412065109093526525945660680294215057<126>
prime factors 素因数
11061241060219165372882905142916008889331455604451<50>
14719182636579624999591273260942110801464377132586634044151428031016003878907<77>
factorization results 素因数分解の結果
N=162812427352599541155959031381625061875786338944717787387601337382226007585004656710179512412065109093526525945660680294215057
  ( 126 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=11061241060219165372882905142916008889331455604451 (pp50)
 r2=14719182636579624999591273260942110801464377132586634044151428031016003878907 (pp77)
Version: Msieve v. 1.52 (SVN 927)
Total time: 12.71 hours.
Scaled time: 99.72 units (timescale=7.843).
Factorization parameters were as follows:
n: 162812427352599541155959031381625061875786338944717787387601337382226007585004656710179512412065109093526525945660680294215057
m: 10000000000000000000000000000000
deg: 5
c5: 20500
c0: -7
skew: 0.20
# Murphy_E = 6.426e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 591475 x 591701
Total sieving time: 12.57 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 12.71 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 14, 2022 13:09:58 UTC 2022 年 5 月 14 日 (土) 22 時 9 分 58 秒 (日本時間)

41×10159-149

c99

name 名前Ignacio Santos
date 日付May 7, 2022 19:01:19 UTC 2022 年 5 月 8 日 (日) 4 時 1 分 19 秒 (日本時間)
composite number 合成数
635704454990893570590417142790372173195676363916076506692747351909129536358503286804353653334935169<99>
prime factors 素因数
713800342343520932312483017418254717<36>
890591412304138092338163472118485124361045539847662602954063957<63>
factorization results 素因数分解の結果
prp63 = 890591412304138092338163472118485124361045539847662602954063957
prp36 = 713800342343520932312483017418254717
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
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10160-149

c98

name 名前Ignacio Santos
date 日付May 7, 2022 18:53:44 UTC 2022 年 5 月 8 日 (日) 3 時 53 分 44 秒 (日本時間)
composite number 合成数
60547729795648606474590436928577270927771541083968316919907821004628313373725404564163472939993059<98>
prime factors 素因数
161010812846124495354468922923814302139852129823<48>
376047600315595703152518690002807179370422553894333<51>
factorization results 素因数分解の結果
prp48 = 161010812846124495354468922923814302139852129823
prp51 = 376047600315595703152518690002807179370422553894333
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
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10161-149

c156

name 名前Bob Backstrom
date 日付May 9, 2022 00:49:45 UTC 2022 年 5 月 9 日 (月) 9 時 49 分 45 秒 (日本時間)
composite number 合成数
957375315875477695256695672803675947603082468309709513648669411765255308646126529523820198377505696383129459092286777339253181871888238340686442771606209583<156>
prime factors 素因数
19134119122186506044414529295635309780646195065618061<53>
50034982523202557732249444887086362587222413881705512146152452962733041827475044919614387112854571871403<104>
factorization results 素因数分解の結果
Number: n
N=957375315875477695256695672803675947603082468309709513648669411765255308646126529523820198377505696383129459092286777339253181871888238340686442771606209583  ( 156 digits)
SNFS difficulty: 162 digits.
Divisors found:

Mon May  9 10:45:09 2022  p53 factor: 19134119122186506044414529295635309780646195065618061
Mon May  9 10:45:09 2022  p104 factor: 50034982523202557732249444887086362587222413881705512146152452962733041827475044919614387112854571871403
Mon May  9 10:45:09 2022  elapsed time 00:07:59 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 41x10^161-14 = 45(160)4
#
n: 957375315875477695256695672803675947603082468309709513648669411765255308646126529523820198377505696383129459092286777339253181871888238340686442771606209583
m: 100000000000000000000000000000000
deg: 5
c5: 205
c0: -7
skew: 0.51
# Murphy_E = 5.487e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1387876 hash collisions in 16740342 relations (16096795 unique)
Msieve: matrix is 473642 x 473868 (158.4 MB)

Sieving start time : 2022/05/09 09:38:50
Sieving end time  : 2022/05/09 10:36:39

Total sieving time: 0hrs 57min 49secs.

Total relation processing time: 0hrs 3min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 47sec.

Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10162-149

c157

name 名前Bob Backstrom
date 日付May 8, 2022 22:34:00 UTC 2022 年 5 月 9 日 (月) 7 時 34 分 0 秒 (日本時間)
composite number 合成数
7462080799410896021182117359966773720225842605423731528164986970478916345706191306639468292162667537364094578416095089477628863765336851067423358060121074991<157>
prime factors 素因数
9686546571552255658509953330013845976463<40>
1846398331832377926075427567634146318876093831658827<52>
417220440562457024134760520857642474921873239850524878650469385091<66>
factorization results 素因数分解の結果
Number: n
N=7462080799410896021182117359966773720225842605423731528164986970478916345706191306639468292162667537364094578416095089477628863765336851067423358060121074991  ( 157 digits)
SNFS difficulty: 163 digits.
Divisors found:

Mon May  9 08:27:27 2022  found factor: 9686546571552255658509953330013845976463
Mon May  9 08:28:17 2022  found factor: 9686546571552255658509953330013845976463
Mon May  9 08:28:43 2022  p40 factor: 9686546571552255658509953330013845976463
Mon May  9 08:28:43 2022  p52 factor: 1846398331832377926075427567634146318876093831658827
Mon May  9 08:28:43 2022  p66 factor: 417220440562457024134760520857642474921873239850524878650469385091
Mon May  9 08:28:43 2022  elapsed time 00:09:21 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 41x10^162-14 = 45(161)4
#
n: 7462080799410896021182117359966773720225842605423731528164986970478916345706191306639468292162667537364094578416095089477628863765336851067423358060121074991
m: 100000000000000000000000000000000
deg: 5
c5: 2050
c0: -7
skew: 0.32
# Murphy_E = 4.987e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1947317 hash collisions in 17601775 relations (16818195 unique)
Msieve: matrix is 483135 x 483360 (162.3 MB)

Sieving start time : 2022/05/09 07:19:06
Sieving end time  : 2022/05/09 08:19:04

Total sieving time: 0hrs 59min 58secs.

Total relation processing time: 0hrs 3min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 42sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10164-149

c133

name 名前ebina
date 日付May 11, 2022 20:12:03 UTC 2022 年 5 月 12 日 (木) 5 時 12 分 3 秒 (日本時間)
composite number 合成数
3591280143109944347086438590555109025068458728592322835589357902639130954404970611871745956423757758248269307966412423430684194853229<133>
prime factors 素因数
260945566428506481433790644862952950519193817<45>
13762564324287450559630542507803413242110269205533378866486359255034331913233422372346037<89>
factorization results 素因数分解の結果
Thu May 12 00:24:02 2022  Msieve v. 1.53 (SVN unknown)
Thu May 12 00:24:02 2022  random seeds: bb073dc0 c67d24e0
Thu May 12 00:24:02 2022  factoring 3591280143109944347086438590555109025068458728592322835589357902639130954404970611871745956423757758248269307966412423430684194853229 (133 digits)
Thu May 12 00:24:03 2022  searching for 15-digit factors
Thu May 12 00:24:04 2022  commencing number field sieve (133-digit input)
Thu May 12 00:24:04 2022  R0: -500000000000000000000000000000000
Thu May 12 00:24:04 2022  R1: 1
Thu May 12 00:24:04 2022  A0: -35
Thu May 12 00:24:04 2022  A1: 0
Thu May 12 00:24:04 2022  A2: 0
Thu May 12 00:24:04 2022  A3: 0
Thu May 12 00:24:04 2022  A4: 0
Thu May 12 00:24:04 2022  A5: 328
Thu May 12 00:24:04 2022  skew 0.64, size 1.097e-11, alpha -0.115, combined = 3.471e-10 rroots = 1
Thu May 12 00:24:04 2022  
Thu May 12 00:24:04 2022  commencing square root phase
Thu May 12 00:24:04 2022  reading relations for dependency 1
Thu May 12 00:24:04 2022  read 400548 cycles
Thu May 12 00:24:05 2022  cycles contain 1393138 unique relations
Thu May 12 00:24:20 2022  read 1393138 relations
Thu May 12 00:24:26 2022  multiplying 1393138 relations
Thu May 12 00:25:09 2022  multiply complete, coefficients have about 41.29 million bits
Thu May 12 00:25:09 2022  initial square root is modulo 847871
Thu May 12 00:26:04 2022  sqrtTime: 120
Thu May 12 00:26:04 2022  p45 factor: 260945566428506481433790644862952950519193817
Thu May 12 00:26:04 2022  p89 factor: 13762564324287450559630542507803413242110269205533378866486359255034331913233422372346037
Thu May 12 00:26:04 2022  elapsed time 00:02:02

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10170-149

c163

name 名前Bob Backstrom
date 日付May 10, 2022 04:10:20 UTC 2022 年 5 月 10 日 (火) 13 時 10 分 20 秒 (日本時間)
composite number 合成数
4535001206785943082845727238335070448954124859126547573862731588160010885418701541064863987316720995649294605670705762173197000932469250573640598380268792884063683<163>
prime factors 素因数
163748768766095812356547393088560568498327258195663548150739221<63>
27694872095581308719652098238258988493996311720783656841206915311267844194169642960952068981757749623<101>
factorization results 素因数分解の結果
Number: n
N=4535001206785943082845727238335070448954124859126547573862731588160010885418701541064863987316720995649294605670705762173197000932469250573640598380268792884063683  ( 163 digits)
SNFS difficulty: 171 digits.
Divisors found:

Tue May 10 14:05:04 2022  p63 factor: 163748768766095812356547393088560568498327258195663548150739221
Tue May 10 14:05:04 2022  p101 factor: 27694872095581308719652098238258988493996311720783656841206915311267844194169642960952068981757749623
Tue May 10 14:05:04 2022  elapsed time 00:13:57 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 41x10^170-14 = 45(169)4
#
n: 4535001206785943082845727238335070448954124859126547573862731588160010885418701541064863987316720995649294605670705762173197000932469250573640598380268792884063683
m: 10000000000000000000000000000000000
deg: 5
c5: 41
c0: -14
skew: 0.81
# Murphy_E = 2.522e-10
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  special-q in [100000, 15350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1555404 hash collisions in 14993901 relations (14388310 unique)
Msieve: matrix is 655746 x 655973 (225.0 MB)

Sieving start time : 2022/05/10 12:36:28
Sieving end time  : 2022/05/10 13:50:51

Total sieving time: 1hrs 14min 23secs.

Total relation processing time: 0hrs 5min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 15sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10172-149

c127

name 名前Eric Jeancolas
date 日付June 10, 2022 18:34:35 UTC 2022 年 6 月 11 日 (土) 3 時 34 分 35 秒 (日本時間)
composite number 合成数
5336802575654579084085472195615095928730793846747397216831733351318422522157076899459698304495282788334437739951241798995651203<127>
prime factors 素因数
6298784911737975895825499116232914353437363729378400535059799<61>
847274934838509300708765209024174482584083410410068354204705289397<66>
factorization results 素因数分解の結果
5336802575654579084085472195615095928730793846747397216831733351318422522157076899459698304495282788334437739951241798995651203=6298784911737975895825499116232914353437363729378400535059799*847274934838509300708765209024174482584083410410068354204705289397

cado polynomial
n: 5336802575654579084085472195615095928730793846747397216831733351318422522157076899459698304495282788334437739951241798995651203
skew: 0.32
type: snfs
c0: -7
c5: 2050
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 2050*x^5-7
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5400000
tasks.lim1 = 5400000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 6298784911737975895825499116232914353437363729378400535059799 847274934838509300708765209024174482584083410410068354204705289397
Info:Square Root: Total cpu/real time for sqrt: 207.97/65.953
Info:Filtering - Singleton removal: Total cpu/real time for purge: 66.26/78.503
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11757166
Info:Lattice Sieving: Average J: 1892.91 for 460557 special-q, max bucket fill -bkmult 1.0,1s:1.251630
Info:Lattice Sieving: Total time: 63015.1s
Info:Linear Algebra: Total cpu/real time for bwc: 10978.1/2821.75
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6916.45, WCT time 1769.52, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26368 iterations)
Info:Linear Algebra: Lingen CPU time 148.71, WCT time 37.81
Info:Linear Algebra: Mksol: CPU time 3779.04,  WCT time 965.64, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13312 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 60.56/17.2266
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.98/51.2775
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 125.01/112.459
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 96.59999999999998s
Info:Filtering - Merging: Merged matrix has 841935 rows and total weight 143739173 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 193.59/54.4848
Info:Filtering - Merging: Total cpu/real time for replay: 31.09/26.0543
Info:Generate Factor Base: Total cpu/real time for makefb: 2.36/1.44298
Info:Quadratic Characters: Total cpu/real time for characters: 29.98/11.869
Info:Square Root: Total cpu/real time for sqrt: 207.97/65.953
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 128446/34766.1
Info:root: Cleaning up computation data in /tmp/cado.qd19tpak
6298784911737975895825499116232914353437363729378400535059799 847274934838509300708765209024174482584083410410068354204705289397
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 10, 2022 18:20:16 UTC 2022 年 5 月 11 日 (水) 3 時 20 分 16 秒 (日本時間)

41×10173-149

c135

name 名前Ignacio Santos
date 日付May 10, 2022 18:21:37 UTC 2022 年 5 月 11 日 (水) 3 時 21 分 37 秒 (日本時間)
composite number 合成数
422934842263314980483633963742823905569227600627483933314047285631510180682570845785991598083551760196315885567217315158871291857307543<135>
prime factors 素因数
1981266986411171196940740174485354826839<40>
213466859925532295817940574961737858009143401044185306308408214993220706010516355132354534905537<96>
factorization results 素因数分解の結果
Step 1 took 4985ms
Step 2 took 3172ms
********** Factor found in step 2: 1981266986411171196940740174485354826839
Found prime factor of 40 digits: 1981266986411171196940740174485354826839
Prime cofactor 213466859925532295817940574961737858009143401044185306308408214993220706010516355132354534905537 has 96 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10175-149

c175

name 名前Bob Backstrom
date 日付May 11, 2022 20:59:12 UTC 2022 年 5 月 12 日 (木) 5 時 59 分 12 秒 (日本時間)
composite number 合成数
2070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707<175>
prime factors 素因数
16367756341332294755137141213532402084089798151<47>
126511357300576744122882501009380548056116057416146269860986623299195530406144916219549468032814783935136513400022416241914111157<129>
factorization results 素因数分解の結果
Number: n
N=2070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707  ( 175 digits)
SNFS difficulty: 176 digits.
Divisors found:

Thu May 12 05:19:59 2022  p47 factor: 16367756341332294755137141213532402084089798151
Thu May 12 05:19:59 2022  p129 factor: 126511357300576744122882501009380548056116057416146269860986623299195530406144916219549468032814783935136513400022416241914111157
Thu May 12 05:19:59 2022  elapsed time 00:17:51 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 41x10^175-14 = 45(174)4
#
n: 2070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707
m: 100000000000000000000000000000000000
deg: 5
c5: 41
c0: -14
skew: 0.81
# Murphy_E = 1.592e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4048157 hash collisions in 31039680 relations (28706755 unique)
Msieve: matrix is 760156 x 760387 (258.0 MB)

Sieving start time : 2022/05/12 03:46:39
Sieving end time  : 2022/05/12 05:01:39

Total sieving time: 1hrs 15min 0secs.

Total relation processing time: 0hrs 8min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 0sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10176-149

c138

name 名前Bob Backstrom
date 日付June 15, 2022 14:47:12 UTC 2022 年 6 月 15 日 (水) 23 時 47 分 12 秒 (日本時間)
composite number 合成数
139537514889891682740373421190522749842359546454798266415778076953857451214832184235688560855676392886708267533148477286364600806450012251<138>
prime factors 素因数
266174359496673828484184512646965778498280561866393<51>
524233495494277213657474294362738253968428559867572196991603294297006567346600383007507<87>
factorization results 素因数分解の結果
Number: n
N=139537514889891682740373421190522749842359546454798266415778076953857451214832184235688560855676392886708267533148477286364600806450012251  ( 138 digits)
SNFS difficulty: 177 digits.
Divisors found:

Thu Jun 16 00:39:00 2022  p51 factor: 266174359496673828484184512646965778498280561866393
Thu Jun 16 00:39:00 2022  p87 factor: 524233495494277213657474294362738253968428559867572196991603294297006567346600383007507
Thu Jun 16 00:39:00 2022  elapsed time 00:18:36 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 41x10^176-14 = 45(175)4
#
n: 139537514889891682740373421190522749842359546454798266415778076953857451214832184235688560855676392886708267533148477286364600806450012251
m: 100000000000000000000000000000000000
deg: 5
c5: 205
c0: -7
skew: 0.51
# Murphy_E = 1.399e-10
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3680250 hash collisions in 28580783 relations (26448744 unique)
Msieve: matrix is 858674 x 858902 (292.9 MB)

Sieving start time : 2022/06/15 22:14:45
Sieving end time  : 2022/06/16 00:19:35

Total sieving time: 2hrs 4min 50secs.

Total relation processing time: 0hrs 11min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 53sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6300000,6300000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 11, 2022 18:55:50 UTC 2022 年 5 月 12 日 (木) 3 時 55 分 50 秒 (日本時間)

41×10177-149

c147

name 名前Bob Backstrom
date 日付May 14, 2022 05:22:03 UTC 2022 年 5 月 14 日 (土) 14 時 22 分 3 秒 (日本時間)
composite number 合成数
296114448014503349183057181555573555142856597483324097433489893221230551026666528155166737930710023850581715846522672337114361477822448922753364461<147>
prime factors 素因数
103427261745857140563388259695890076899472549655702870357610571<63>
2863021248132042360466929176065044120188794735747397366462532402924815628682653127591<85>
factorization results 素因数分解の結果
Number: n
N=296114448014503349183057181555573555142856597483324097433489893221230551026666528155166737930710023850581715846522672337114361477822448922753364461  ( 147 digits)
SNFS difficulty: 178 digits.
Divisors found:

Sat May 14 15:07:50 2022  p63 factor: 103427261745857140563388259695890076899472549655702870357610571
Sat May 14 15:07:50 2022  p85 factor: 2863021248132042360466929176065044120188794735747397366462532402924815628682653127591
Sat May 14 15:07:50 2022  elapsed time 00:18:54 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 41x10^177-14 = 45(176)4
#
n: 296114448014503349183057181555573555142856597483324097433489893221230551026666528155166737930710023850581715846522672337114361477822448922753364461
m: 100000000000000000000000000000000000
deg: 5
c5: 2050
c0: -7
skew: 0.32
# Murphy_E = 1.27e-10
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4068571 hash collisions in 30201350 relations (27742596 unique)
Msieve: matrix is 853069 x 853294 (293.3 MB)

Sieving start time : 2022/05/14 13:12:54
Sieving end time  : 2022/05/14 14:48:28

Total sieving time: 1hrs 35min 34secs.

Total relation processing time: 0hrs 10min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 57sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 12, 2022 15:42:55 UTC 2022 年 5 月 13 日 (金) 0 時 42 分 55 秒 (日本時間)

41×10178-149

c167

name 名前Bob Backstrom
date 日付May 13, 2022 14:16:40 UTC 2022 年 5 月 13 日 (金) 23 時 16 分 40 秒 (日本時間)
composite number 合成数
70321835223301619583367851534669752179582973785588270843409638667183504346530919509064438012202644405637968868222355822878211737540770441992545195455447550271669404297<167>
prime factors 素因数
2940913720084146858728891738397147734329<40>
23911560119244007237324332101526588035831133786926447203541465214033946817651612947230658484732718517203692360935658543243197393<128>
factorization results 素因数分解の結果
Number: n
N=70321835223301619583367851534669752179582973785588270843409638667183504346530919509064438012202644405637968868222355822878211737540770441992545195455447550271669404297  ( 167 digits)
SNFS difficulty: 179 digits.
Divisors found:

Sat May 14 00:12:18 2022  p40 factor: 2940913720084146858728891738397147734329
Sat May 14 00:12:18 2022  p128 factor: 23911560119244007237324332101526588035831133786926447203541465214033946817651612947230658484732718517203692360935658543243197393
Sat May 14 00:12:18 2022  elapsed time 00:23:33 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 41x10^178-14 = 45(177)4
#
n: 70321835223301619583367851534669752179582973785588270843409638667183504346530919509064438012202644405637968868222355822878211737540770441992545195455447550271669404297
m: 100000000000000000000000000000000000
deg: 5
c5: 20500
c0: -7
skew: 0.20
# Murphy_E = 1.045e-10
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4222421 hash collisions in 30193668 relations (27532048 unique)
Msieve: matrix is 896745 x 896970 (306.3 MB)

Sieving start time : 2022/05/13 22:00:37
Sieving end time  : 2022/05/13 23:48:13

Total sieving time: 1hrs 47min 36secs.

Total relation processing time: 0hrs 12min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 8sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 12, 2022 15:44:30 UTC 2022 年 5 月 13 日 (金) 0 時 44 分 30 秒 (日本時間)

41×10180-149

c147

name 名前Ignacio Santos
date 日付May 13, 2022 18:30:21 UTC 2022 年 5 月 14 日 (土) 3 時 30 分 21 秒 (日本時間)
composite number 合成数
261661438962428318178647418788010999599547071712700890943590561015047472595213483316272139817085621447129364048490294683312587327719751415886978977<147>
prime factors 素因数
8028737007046509636591977493996098249<37>
32590610295589240084506955754563753229643539615711039431898008422785720996235611133755315451067431695935093273<110>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4264796787
Step 1 took 5828ms
********** Factor found in step 1: 8028737007046509636591977493996098249
Found prime factor of 37 digits: 8028737007046509636591977493996098249
Prime cofactor 32590610295589240084506955754563753229643539615711039431898008422785720996235611133755315451067431695935093273 has 110 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10185-149

c166

name 名前Bob Backstrom
date 日付May 15, 2022 06:18:35 UTC 2022 年 5 月 15 日 (日) 15 時 18 分 35 秒 (日本時間)
composite number 合成数
2102713078782325531206336561854931339094552560877040292274278832458952106816354168791712258905172209532561964014752573515050676512219734996814662399898310677955639359<166>
prime factors 素因数
3360116241886627324153015668228285707789217904725096259486522912932152566432974821<82>
625785814362690296322111275564529426434644160353991508004597088625954240116811658579<84>
factorization results 素因数分解の結果
Number: n
N=2102713078782325531206336561854931339094552560877040292274278832458952106816354168791712258905172209532561964014752573515050676512219734996814662399898310677955639359  ( 166 digits)
SNFS difficulty: 186 digits.
Divisors found:

Sun May 15 16:12:39 2022  p82 factor: 3360116241886627324153015668228285707789217904725096259486522912932152566432974821
Sun May 15 16:12:39 2022  p84 factor: 625785814362690296322111275564529426434644160353991508004597088625954240116811658579
Sun May 15 16:12:39 2022  elapsed time 00:23:31 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.309).
Factorization parameters were as follows:
#
# N = 41x10^185-14 = 45(184)4
#
n: 2102713078782325531206336561854931339094552560877040292274278832458952106816354168791712258905172209532561964014752573515050676512219734996814662399898310677955639359
m: 10000000000000000000000000000000000000
deg: 5
c5: 41
c0: -14
skew: 0.81
# Murphy_E = 6.265e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 10100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2945557 hash collisions in 28962351 relations (27818199 unique)
Msieve: matrix is 969460 x 969688 (335.2 MB)

Sieving start time : 2022/05/15 12:55:07
Sieving end time  : 2022/05/15 15:48:40

Total sieving time: 2hrs 53min 33secs.

Total relation processing time: 0hrs 15min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 5sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10186-149

c80

name 名前ivelive
date 日付May 7, 2022 14:43:05 UTC 2022 年 5 月 7 日 (土) 23 時 43 分 5 秒 (日本時間)
composite number 合成数
20058438918763295605641369275781475540465550671164024204098678636369615367343451<80>
prime factors 素因数
71603296480560167108851551979951849777<38>
280132897571399276592559898799826253247563<42>
factorization results 素因数分解の結果
05/07/22 23:39:52 v1.34.5 @ DESKTOP-RJPVCOL, starting SIQS on c80: 20058438918763295605641369275781475540465550671164024204098678636369615367343451
05/07/22 23:39:52 v1.34.5 @ DESKTOP-RJPVCOL, random seeds: 1647777551, 2355858868
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieve params ====
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, n = 81 digits, 267 bits
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, factor base: 45952 primes (max prime = 1185077)
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, single large prime cutoff: 100731545 (85 * pmax)
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, allocating 7 large prime slices of factor base
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, buckets hold 2048 elements
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, using 32k sieve core
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, sieve interval: 10 blocks of size 32768
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, polynomial A has ~ 10 factors
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, using multiplier of 11
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, using SPV correction of 21 bits, starting at offset 36
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, using SSE2 for trial division and x64 sieve scanning
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, using SSE4.1 enabled 32k sieve core
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, using SSE2 for resieving 13-16 bit primes
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, trial factoring cutoff at 92 bits
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieving started ( 8 threads) ====
05/07/22 23:40:23 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 3790127 sieve locations out of 59660697600
05/07/22 23:40:23 v1.34.5 @ DESKTOP-RJPVCOL, 47481 relations found: 24512 full + 22969 from 240502 partial, using 91035 polys (356 A polys)
05/07/22 23:40:23 v1.34.5 @ DESKTOP-RJPVCOL, on average, sieving found 2.91 rels/poly and 8659.42 rels/sec
05/07/22 23:40:23 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 3790127 sieve locations out of 59660697600
05/07/22 23:40:23 v1.34.5 @ DESKTOP-RJPVCOL, ==== post processing stage (msieve-1.38) ====
05/07/22 23:40:23 v1.34.5 @ DESKTOP-RJPVCOL, begin with 265014 relations
05/07/22 23:40:23 v1.34.5 @ DESKTOP-RJPVCOL, reduce to 67546 relations in 2 passes
05/07/22 23:40:23 v1.34.5 @ DESKTOP-RJPVCOL, recovered 67546 relations
05/07/22 23:40:23 v1.34.5 @ DESKTOP-RJPVCOL, recovered 47770 polynomials
05/07/22 23:40:23 v1.34.5 @ DESKTOP-RJPVCOL, freed 25 duplicate relations
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, attempting to build 47456 cycles
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, found 47456 cycles in 1 passes
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, distribution of cycle lengths:
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL,    length 1 : 24510
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL,    length 2 : 22946
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, largest cycle: 2 relations
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 45952 x 47456 (6.8 MB) with weight 1412617 (29.77/col)
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 1412617 (29.77/col)
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, filtering completed in 4 passes
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 32108 x 32172 (5.1 MB) with weight 1077094 (33.48/col)
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 1077094 (33.48/col)
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, saving the first 48 matrix rows for later
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 32060 x 32172 (4.3 MB) with weight 880532 (27.37/col)
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 804286 (25.00/col)
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, matrix includes 64 packed rows
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, using block size 12868 for processor cache size 12288 kB
05/07/22 23:40:25 v1.34.5 @ DESKTOP-RJPVCOL, commencing Lanczos iteration
05/07/22 23:40:25 v1.34.5 @ DESKTOP-RJPVCOL, memory use: 3.9 MB
05/07/22 23:40:26 v1.34.5 @ DESKTOP-RJPVCOL, lanczos halted after 509 iterations (dim = 32055)
05/07/22 23:40:26 v1.34.5 @ DESKTOP-RJPVCOL, recovered 14 nontrivial dependencies
05/07/22 23:40:26 v1.34.5 @ DESKTOP-RJPVCOL, prp38 = 71603296480560167108851551979951849777
05/07/22 23:40:26 v1.34.5 @ DESKTOP-RJPVCOL, prp42 = 280132897571399276592559898799826253247563
05/07/22 23:40:26 v1.34.5 @ DESKTOP-RJPVCOL, Lanczos elapsed time = 3.3510 seconds.
05/07/22 23:40:26 v1.34.5 @ DESKTOP-RJPVCOL, Sqrt elapsed time = 0.1050 seconds.
05/07/22 23:40:26 v1.34.5 @ DESKTOP-RJPVCOL, SIQS elapsed time = 34.1636 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10190-149

c175

name 名前Bob Backstrom
date 日付May 17, 2022 17:48:14 UTC 2022 年 5 月 18 日 (水) 2 時 48 分 14 秒 (日本時間)
composite number 合成数
1097386474975450415856356726569987554973903668390150735894592514763041732851893085125162031773276435603730143157978002056827500690970820317601646804974971086448488270479244691<175>
prime factors 素因数
3439181554821303187610663442813720901788008417514471704863739218441873066584872197<82>
319083612622035488998075981073825122371984825994075689232277156404603182082180131357925477303<93>
factorization results 素因数分解の結果
Number: n
N=1097386474975450415856356726569987554973903668390150735894592514763041732851893085125162031773276435603730143157978002056827500690970820317601646804974971086448488270479244691  ( 175 digits)
SNFS difficulty: 191 digits.
Divisors found:

Wed May 18 03:39:03 2022  p82 factor: 3439181554821303187610663442813720901788008417514471704863739218441873066584872197
Wed May 18 03:39:03 2022  p93 factor: 319083612622035488998075981073825122371984825994075689232277156404603182082180131357925477303
Wed May 18 03:39:03 2022  elapsed time 00:39:52 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.355).
Factorization parameters were as follows:
#
# N = 41x10^190-14 = 45(189)4
#
n: 1097386474975450415856356726569987554973903668390150735894592514763041732851893085125162031773276435603730143157978002056827500690970820317601646804974971086448488270479244691
m: 100000000000000000000000000000000000000
deg: 5
c5: 41
c0: -14
skew: 0.81
# Murphy_E = 3.904e-11
type: snfs
lss: 1
rlim: 10900000
alim: 10900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3252589 hash collisions in 29173350 relations (27659399 unique)
Msieve: matrix is 1194093 x 1194319 (410.8 MB)

Sieving start time : 2022/05/17 22:57:38
Sieving end time  : 2022/05/18 02:58:38

Total sieving time: 4hrs 1min 0secs.

Total relation processing time: 0hrs 24min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 13sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10900000,10900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10191-149

c137

name 名前Syj
date 日付May 10, 2022 17:38:51 UTC 2022 年 5 月 11 日 (水) 2 時 38 分 51 秒 (日本時間)
composite number 合成数
66085126843532854945893550842740571438153405590295318946633194091195831041779909054387662396213466039148320899345049563899681842114160391<137>
prime factors 素因数
23163931698274195400352867121420303918737650347<47>
composite cofactor 合成数の残り
2852932209623829035713475760497568059880889192056793216256352890238923759021973362834636053<91>
factorization results 素因数分解の結果
23163931698274195400352867121420303918737650347

c91

name 名前Ignacio Santos
date 日付May 11, 2022 14:22:41 UTC 2022 年 5 月 11 日 (水) 23 時 22 分 41 秒 (日本時間)
composite number 合成数
2852932209623829035713475760497568059880889192056793216256352890238923759021973362834636053<91>
prime factors 素因数
867719556997451053781544484962351409<36>
3287850534907569900376551445105777268108537450480666917<55>
factorization results 素因数分解の結果
prp36 = 867719556997451053781544484962351409
prp55 = 3287850534907569900376551445105777268108537450480666917
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
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10192-149

c173

name 名前Bob Backstrom
date 日付June 28, 2022 01:54:32 UTC 2022 年 6 月 28 日 (火) 10 時 54 分 32 秒 (日本時間)
composite number 合成数
10327330368038904546856635622211384181563127225200086686179789921123232493924607291512379568183536492615919358717378210784200919152648538376089351215434596080661899036391351<173>
prime factors 素因数
20174930119755710675583976670826081653<38>
192422521072391444593137321044350987201<39>
2660235781827324331137360086969783163595853712782739187677227122041558025050457306804357290727867<97>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 10327330368038904546856635622211384181563127225200086686179789921123232493924607291512379568183536492615919358717378210784200919152648538376089351215434596080661899036391351 (173 digits)
Using B1=15810000, B2=58558142380, polynomial Dickson(12), sigma=1:1358244469
Step 1 took 36990ms
********** Factor found in step 1: 192422521072391444593137321044350987201
Found prime factor of 39 digits: 192422521072391444593137321044350987201
Composite cofactor 53670071000439967085342051183966815049100323252915712330478177188581259483102965354521193214039951940077174704420578265189967944524151 has 134 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 53670071000439967085342051183966815049100323252915712330478177188581259483102965354521193214039951940077174704420578265189967944524151 (134 digits)
Using B1=16940000, B2=58559441860, polynomial Dickson(12), sigma=1:2761953313
Step 1 took 25685ms
Step 2 took 12390ms
********** Factor found in step 2: 20174930119755710675583976670826081653
Found prime factor of 38 digits: 20174930119755710675583976670826081653
Prime cofactor 2660235781827324331137360086969783163595853712782739187677227122041558025050457306804357290727867 has 97 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 26, 2022 17:42:20 UTC 2022 年 6 月 27 日 (月) 2 時 42 分 20 秒 (日本時間)

41×10193-149

c146

composite cofactor 合成数の残り
83416347274088210672701171574301642770060578664291447589677206571573717962155648187979016080758644328189930685514370413383912224861939557726325967<146>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 18, 2022 13:28:28 UTC 2022 年 7 月 18 日 (月) 22 時 28 分 28 秒 (日本時間)

41×10198-149

c174

composite cofactor 合成数の残り
160005796692542335665700586542345739467657338462410108755702813675610165530447651226338400867203332728892445440094885057648281825486303744792258206213635951019196490558757051<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10199-149

c192

composite cofactor 合成数の残り
456802269445371251683074034873011676483247163378792222866046025689788640509005543665438142643220285222390207357279189063932621745475742862490722485176549096881747157532837325841990031589570443<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10201-149

c199

name 名前Syj
date 日付May 10, 2022 17:38:21 UTC 2022 年 5 月 11 日 (水) 2 時 38 分 21 秒 (日本時間)
composite number 合成数
1000341580051724979261211145269116283609037232225638022739472014834333674913385058312594544478602449616942370565558971356072805348167667008246718391645927877811935782950275703898892304689406138681501<199>
prime factors 素因数
1064734255044424049280236167306722350056784156141582045918214694421714722933921<79>
939522303628699908922277299363086573279411743469482542308313433184477568041018862434890431799665961465980393891902905981<120>
factorization results 素因数分解の結果
1064734255044424049280236167306722350056784156141582045918214694421714722933921

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10203-149

c174

composite cofactor 合成数の残り
209495766485164814016651509997922735071735659112298980995589436472739264443812590347560249565867963203318237431186116377162784622406534075732403256712047668293798231392923057<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMay 22, 2022 08:35:44 UTC 2022 年 5 月 22 日 (日) 17 時 35 分 44 秒 (日本時間)

41×10204-149

c193

composite cofactor 合成数の残り
8617149012869748851832137116730429908313601098915536067935846237280099121982814752603188978059144478077275697522553263391886586778985383026550567764362960345132530163885446287952344177736682807<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 8, 2022 10:25:19 UTC 2022 年 6 月 8 日 (水) 19 時 25 分 19 秒 (日本時間)

41×10206-149

c176

composite cofactor 合成数の残り
16589618055946019527865734803903806262119923676190021670826761094499367862627250575296701773567461584883596771345231959752216814589194334383883722579599541261240912651536344541<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMay 22, 2022 08:36:37 UTC 2022 年 5 月 22 日 (日) 17 時 36 分 37 秒 (日本時間)

41×10207-149

c184

composite cofactor 合成数の残り
3599005817372234710783184884987922771103155932350147528105486545681781986589848721677297462126420095773780647699809288156241154759368844913487347610930514662685012451247122770071568989<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 8, 2022 10:25:40 UTC 2022 年 6 月 8 日 (水) 19 時 25 分 40 秒 (日本時間)

41×10208-149

c192

composite cofactor 合成数の残り
836157062960853048531184037711143973286342181876411467686990510202353782508170526565258872736819001696700491536372328529611222720932432571278632243444148167580909578998801067760190351275646343<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 8, 2022 10:25:47 UTC 2022 年 6 月 8 日 (水) 19 時 25 分 47 秒 (日本時間)

41×10209-149

c149

composite cofactor 合成数の残り
51134734200069829292888869578272043136513306060839852594210152720125682362580217225881807347699908318860203788058045712581604390788640093588145338857<149>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMay 22, 2022 08:36:48 UTC 2022 年 5 月 22 日 (日) 17 時 36 分 48 秒 (日本時間)

41×10210-149

c184

composite cofactor 合成数の残り
2722010401834150645277864311515109288622528199441888360518829374526457180632197735279527022123463621977044396972946930166509329502707758322361656843002155103584824581316594732108421171<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 8, 2022 10:25:56 UTC 2022 年 6 月 8 日 (水) 19 時 25 分 56 秒 (日本時間)

41×10211-149

c201

composite cofactor 合成数の残り
102270450326102693696426133351627456321707120188960340694811702039796048456654296909043898778232821165162712099590783825151801562490500634944972609538300842613256039540488558960874685794892010549830551<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10212-149

c210

composite cofactor 合成数の残り
846757538207352333746385790995456422965716646014043783560512185047501032631144155307724080958281701776125567947129285419248244527054935976869062370921106980586534489880214787277984304006608839322593969434118133<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10213-149

c184

composite cofactor 合成数の残り
1886521020605731527963492037721322927418275615238455989517192440464513228315048770304802348660024249968964594891432756329411048768483673671611103479503407926610222298618892493003375733<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 8, 2022 10:26:04 UTC 2022 年 6 月 8 日 (水) 19 時 26 分 4 秒 (日本時間)

41×10214-149

c172

composite cofactor 合成数の残り
4297704137864986110014305101808178803687135728696070255139004755032722636680179089699434698475467367362680291413932370336812516885858806135361135537007915664179616779883349<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMay 22, 2022 08:36:58 UTC 2022 年 5 月 22 日 (日) 17 時 36 分 58 秒 (日本時間)

41×10215-149

c215

composite cofactor 合成数の残り
20707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10216-149

c214

composite cofactor 合成数の残り
9610876699484294421003281762775433661509610876699484294421003281762775433661509610876699484294421003281762775433661509610876699484294421003281762775433661509610876699484294421003281762775433661509610876699484294421<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10217-149

c204

composite cofactor 合成数の残り
372306649079198699847447126697962513350649644871909838252398177547368628082818503977256344223392506647248315124237291835457961232409328089898578272590113849126268923593717381520652070041327972847697795171<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10218-149

c208

composite cofactor 合成数の残り
1201179106707961541759339212908101279884578972825576712779169109604496951075959456933434377667530892043374942605578601956601510476485124246773129229972996247730344392894175902066266995464466586950601227674979<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10219-149

c202

composite cofactor 合成数の残り
1681490709521995573040945221202479419167854256915573987431400756125885463607137699261730812013956405628164845140039084267838312002189340461468869699355305116265232253703318908612700228441448544620377839<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10220-149

c207

composite cofactor 合成数の残り
266764699241925647207645004611139529189105116491894668581245518403417105692062688676266350066265433742098734559379844309155905024923610148642176963063249536618663696464580461514283633785356199780767375862471<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10221-149

c166

composite cofactor 合成数の残り
1213842865685856439106797371599452032819652825893912103632376877202341147207253885406026012200760676941032596003890922531775834844865508683504417149076580385734444869<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMay 22, 2022 08:37:10 UTC 2022 年 5 月 22 日 (日) 17 時 37 分 10 秒 (日本時間)

41×10222-149

c214

composite cofactor 合成数の残り
7108781638963846916726189102176924039180029890498751554554870743039925316984916573594422903778430384044885149651714762430965810929530322689615009459636654628208506156787646052168441823589926426006867727361594451479<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10223-149

c212

composite cofactor 合成数の残り
40117882274660096461937058662220370589459862655616078052234383276478321934359205527682555433239726083883797459457417597900349787634552618376987613518643774744400618795219063071467623829194535989361287878416209603<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10227-149

c184

composite cofactor 合成数の残り
1550512098808601313309311261520295392883380060437887540032513117954342534323405736920197290661563986445655296451198825389641614516787548949201112287471146288829983651551632835819359177<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 8, 2022 10:26:12 UTC 2022 年 6 月 8 日 (水) 19 時 26 分 12 秒 (日本時間)

41×10228-149

c224

composite cofactor 合成数の残り
15703072516788882531059528432902303142835913616249079838250693041700466572754632980895105773598462477699722017316275966562413585225936573375095846192617717508619454804642287838085236277621130054378591120333793701459313339109<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10229-149

c152

composite cofactor 合成数の残り
17848335491094392309191322501549153086406637911139636405709068179583243997913417551550761675944033591194315908177574055764880617513571762375785237434451<152>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 16:00:18 UTC 2022 年 5 月 8 日 (日) 1 時 0 分 18 秒 (日本時間)
4511e64480Ignacio SantosMay 11, 2022 19:57:47 UTC 2022 年 5 月 12 日 (木) 4 時 57 分 47 秒 (日本時間)

41×10233-149

c142

name 名前Markus Tervooren
date 日付May 14, 2022 20:30:28 UTC 2022 年 5 月 15 日 (日) 5 時 30 分 28 秒 (日本時間)
composite number 合成数
4025424322832243396185763030621770359640376134398602092005140810067925713326604700305225562295305794532284640596948294960736306864300001181611<142>
prime factors 素因数
10397834795344320589253169305656443491584205469615713<53>
387140630916221717679718706707461261237408171158253369860276171418162912634471396543588747<90>
factorization results 素因数分解の結果
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 970.86/338.693
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 241.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 612.7/161.369
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5902.18
Info:Polynomial Selection (root optimized): Rootsieve time: 5900.46
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 237.15/80.6515
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 80.2s
Info:Filtering - Merging: Total cpu/real time for merge: 1316.47/34.4232
Info:Filtering - Merging: Total cpu/real time for replay: 83.41/63.2475
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 69931.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 48016/42.730/50.976/58.160/0.926
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39460/41.820/45.603/51.700/1.111
Info:Polynomial Selection (size optimized): Total time: 24359.8
Info:Generate Factor Base: Total cpu/real time for makefb: 16.65/0.513352
Info:Generate Free Relations: Total cpu/real time for freerel: 672.12/15.2405
Info:Quadratic Characters: Total cpu/real time for characters: 119.96/16.4497
Info:Square Root: Total cpu/real time for sqrt: 3447.12/131.093
Info:Linear Algebra: Total cpu/real time for bwc: 130718/2869.52
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 75831.99, WCT time 1758.04, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (66560 iterations)
Info:Linear Algebra: Lingen CPU time 13995.25, WCT time 120.66
Info:Linear Algebra: Mksol: CPU time 39953.95,  WCT time 933.0, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (33280 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 34934048
Info:Lattice Sieving: Average J: 3806.49 for 1239768 special-q, max bucket fill -bkmult 1.0,1s:1.082880
Info:Lattice Sieving: Total time: 574071s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.29412e+06/13008.5
Info:root: Cleaning up computation data in /tmp/cado.wikmfp62
10397834795344320589253169305656443491584205469615713 387140630916221717679718706707461261237408171158253369860276171418162912634471396543588747
software ソフトウェア
Cado-NFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 14:02:56 UTC 2022 年 5 月 7 日 (土) 23 時 2 分 56 秒 (日本時間)
4511e64480Ignacio SantosMay 11, 2022 14:20:37 UTC 2022 年 5 月 11 日 (水) 23 時 20 分 37 秒 (日本時間)

41×10237-149

c214

composite cofactor 合成数の残り
2132645638862934162176987839304142877359649349136069776940268541037955553236872353103662125069534205142913457593260889863624143358297282658951192164622605644194481305510675754904835873198787324404763862792883706977<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10239-149

c207

composite cofactor 合成数の残り
617977778175684400288825286502756009945861215949457548726959363475370110633579045490039226324892046324068548704478669381781316509735984618489774367441388601420872755206855915397592407650750950948140759330591<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10240-149

c234

composite cofactor 合成数の残り
378910268484911026046680007635134327109612031188418417264453065484806724063994136760988892217754223236814537230697151088288513886017026305189227880498503221264059812076402579332766372671113520610750120525811376730906004579934623746447<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10241-149

c223

composite cofactor 合成数の残り
3298224636489808292795076032321088894265369331793260828141533654373898346974757965078193704682054290789373824403385645143922214549607049586709843641945250806687783980919839658684848841551019137282054130271586208069007082477<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10242-149

c219

composite cofactor 合成数の残り
142750689073411322621981851173452674145170905543814750014764355210203806267715742503706266501765037918874488248662325565106334550992891094667801234456067975809847281123984337763846128580671509122455800370673015077194489<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10243-149

c240

composite cofactor 合成数の残り
645080084332420781018911860033355360458164196481953491299285691809056295037603448818402089430126813304383397841341766575411435224519336668869379149752981528682463261902514238962837093678215173542276346014663771673117467509990874476855785267<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10244-149

c198

composite cofactor 合成数の残り
862758745824277772771337288056847367256111552047715017888760990929997368660893414364129532764666040878509868195510950032093546186704966201409917499727254761045702196436568771195120357825527144966373<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 8, 2022 10:26:23 UTC 2022 年 6 月 8 日 (水) 19 時 26 分 23 秒 (日本時間)

41×10246-149

c246

composite cofactor 合成数の残り
253086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10247-149

c139

composite cofactor 合成数の残り
6706494522439820879031994344745249835689173211405069268595334056772361202390799102172273673727089197267851749829358686738853138876011778131<139>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 14:01:59 UTC 2022 年 5 月 7 日 (土) 23 時 1 分 59 秒 (日本時間)
4511e64480Ignacio SantosMay 11, 2022 13:42:03 UTC 2022 年 5 月 11 日 (水) 22 時 42 分 3 秒 (日本時間)
5043e66454Ignacio SantosJune 20, 2022 13:25:06 UTC 2022 年 6 月 20 日 (月) 22 時 25 分 6 秒 (日本時間)

41×10248-149

c230

composite cofactor 合成数の残り
60498035317704303058292432736273733568179969956862802204392802743572612676979121920378435472763140894865614292533800081806563678767071562785941083240408610622722012950690102907449727247755656370144636586079191027879455708779377177<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10249-149

c232

composite cofactor 合成数の残り
3654953487058583300381255767185651510207073821821310514531816807752612313062964830513492024310209794092683385107471838357019454342930606832517808890861775570632515869593203122254218510622468114414433506672569950361555670512501425859<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10250-149

c250

composite cofactor 合成数の残り
1339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 8, 2022 10:29:19 UTC 2022 年 6 月 8 日 (水) 19 時 29 分 19 秒 (日本時間)

41×10251-149

c213

composite cofactor 合成数の残り
351793017324449924027537558402889462805699951023259174937125366790911461137970162966244582899011739932883457212552309207276443219573619735900016742422441428712731567789343285705644119928620154918737518826299552141<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10253-149

c253

name 名前Dmitry Domanov
date 日付June 8, 2022 21:40:25 UTC 2022 年 6 月 9 日 (木) 6 時 40 分 25 秒 (日本時間)
composite number 合成数
2070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707<253>
prime factors 素因数
27182726049730952287140395378666229343<38>
composite cofactor 合成数の残り
76177314479743507524451135883075367692969692732496707126030486392223588627676102724700820611057890775365371123723086610908494664956905701817041380024588610799853287701580731735955272755861837289294344255004417210349<215>
factorization results 素因数分解の結果
Resuming ECM residue saved by @e183e8cb073f with GMP-ECM 7.0.5-dev on Wed Jun  8 12:19:57 2022 
Input number is 2070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707 (253 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1315107837
Step 1 took 0ms
Step 2 took 4577ms
********** Factor found in step 2: 27182726049730952287140395378666229343
Found prime factor of 38 digits: 27182726049730952287140395378666229343
Composite cofactor 76177314479743507524451135883075367692969692732496707126030486392223588627676102724700820611057890775365371123723086610908494664956905701817041380024588610799853287701580731735955272755861837289294344255004417210349 has 215 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 8, 2022 10:29:10 UTC 2022 年 6 月 8 日 (水) 19 時 29 分 10 秒 (日本時間)

41×10254-149

c231

composite cofactor 合成数の残り
513470945718938410632314836058867557866309056678081013370271916354297257928416414604663634755909689620548024133866421340751343414607383074259585932178814711321416270236967604887818061994139151968740779778456036736814164033151758817<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10256-149

c257

composite cofactor 合成数の残り
22777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 8, 2022 10:29:00 UTC 2022 年 6 月 8 日 (水) 19 時 29 分 0 秒 (日本時間)

41×10257-149

c249

composite cofactor 合成数の残り
382176754254813281181135506566308475306866116966777665020534630122669646037597498750011227374294660151874406053396864741482810672347159988489648986551634207851491103592851701782723257580156803054418663138036524594745740134808196828367726332012242067<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10258-149

c220

composite cofactor 合成数の残り
8212011495811852924078783758246531676149450457758568649241876616340372580221425997862903402350609750735338149508553937179892502869096389590994335635033102046984077849938993111876042292464045960218615929401331707874358103<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10261-149

c245

composite cofactor 合成数の残り
28188899374840441624524397259490417759901349590057558101027697305189244818365705082072963147727322555842305421319372978527612401500092127358757646892031008573910320473361078776076779508838872408302917232527738534387367034823753575138033256529921<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10262-149

c228

composite cofactor 合成数の残り
258882159198388820604475252653310265352822940291061557459690516899793651493919246318725512364446069357022088439272037799969570060440945465737189990959283592492479692813662857649681130618050833992839614216782748139628903183442251<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10263-149

c224

composite cofactor 合成数の残り
83469726206182783382609680322617941061711806445552773677646459327120205281967333971932690357843127986402365659027379363695811486510822183442841818066681203659381712057859409069321030738031109535566998936158690467389476168463<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10266-149

c257

name 名前Dmitry Domanov
date 日付June 9, 2022 18:13:05 UTC 2022 年 6 月 10 日 (金) 3 時 13 分 5 秒 (日本時間)
composite number 合成数
35172127200399565837711877177133473919527274762395332514202525594976446383062163247312987257974571222981041015765393654050039273469172559387572007876072208338230037630369107693634636759645219324605315100035748447382424181299265451983325638496302233215254451<257>
prime factors 素因数
75453671730531892626914896474694387076803<41>
466142023227311914042252235860740893003877639301185700866161777834827019770119960821431224720618601978908834890765002780701898073055371928050995595524758296368421463930367876399299624172139013813965735672267837889617<216>
factorization results 素因数分解の結果
esuming ECM residue saved by @e183e8cb073f with GMP-ECM 7.0.5-dev on Wed Jun  8 12:11:00 2022 
Input number is 35172127200399565837711877177133473919527274762395332514202525594976446383062163247312987257974571222981041015765393654050039273469172559387572007876072208338230037630369107693634636759645219324605315100035748447382424181299265451983325638496302233215254451 (257 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3119476323
Step 1 took 0ms
Step 2 took 4984ms
********** Factor found in step 2: 75453671730531892626914896474694387076803
Found prime factor of 41 digits: 75453671730531892626914896474694387076803
Prime cofactor 466142023227311914042252235860740893003877639301185700866161777834827019770119960821431224720618601978908834890765002780701898073055371928050995595524758296368421463930367876399299624172139013813965735672267837889617 has 216 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 8, 2022 10:28:51 UTC 2022 年 6 月 8 日 (水) 19 時 28 分 51 秒 (日本時間)

41×10267-149

c197

composite cofactor 合成数の残り
67838364470702477654770748174547288957338329561815574388227081981972529773230392375220495997701480276197190808717468225189361949904551083310370239771721070556565126170837771299029862893633193091911<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 8, 2022 10:26:32 UTC 2022 年 6 月 8 日 (水) 19 時 26 分 32 秒 (日本時間)

41×10268-149

c260

composite cofactor 合成数の残り
23364722049150323128219169535121964785395060461216643081170789002652643737658388383687237917706196345634812420844118464811692169101789230056240626359161854722960945494057112225774071420749644179987110973034037895421175198513810468518831060617129319340896996943<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 8, 2022 10:28:43 UTC 2022 年 6 月 8 日 (水) 19 時 28 分 43 秒 (日本時間)

41×10269-149

c224

composite cofactor 合成数の残り
10025161203475405134095522948750839614781476981164148070076114858922526741981064079414982296462603717282454707966320476875220846937519255904970770620260954954957884466698404017984409307975754816515827815291115645602686393409<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10270-149

c257

composite cofactor 合成数の残り
45060924549045102531731889566618557134719262813649846382012793240154731136889440975836873049930835075900539833654713920177937750958189086604521140648956861817271309320673186409753660841429036022887570065727218701194430638003576727656406942525452469193521431<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 8, 2022 10:28:34 UTC 2022 年 6 月 8 日 (水) 19 時 28 分 34 秒 (日本時間)

41×10272-149

c217

composite cofactor 合成数の残り
7618512298276311747497451358533151033598351490421769241681864469728818772589167026465715467953830046767776815771933201293619274736991798388396321302345773659919327791119575671342181146318042995528115380545666413317313<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10273-149

c260

composite cofactor 合成数の残り
36148569320813397678981140330246364842819073792816502664785466172290684249023806526350633862851993038629052908132150085384039694181603653187090079283261664358939791410996432169978750385194532023380449555252268806418262528981589876106494346919284277678174651153<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 8, 2022 10:28:26 UTC 2022 年 6 月 8 日 (水) 19 時 28 分 26 秒 (日本時間)

41×10274-149

c267

composite cofactor 合成数の残り
491270561862762619552698249281625242265584254311665442600159637051034333861909304154718517269333307720163747044519295385826561030842653652530845123185769867449426984772551303642392818057662237555806927918072787859045120092922125302688268700783691335731658701744976021<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 8, 2022 10:28:18 UTC 2022 年 6 月 8 日 (水) 19 時 28 分 18 秒 (日本時間)

41×10275-149

c234

composite cofactor 合成数の残り
134537790780596619041121504934810640818744986570116050836384828172716343353351432391829481473554184074427396636556918177215831537020833067195565615968863039395143885053275186583412625854526529389052126651638481907944746183481479532187<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10276-149

c269

composite cofactor 合成数の残り
83539103388984598213364273609178556206553375335734996979124144498964508363024251324287336161021955938681368994652490838786103802356457173130549617249705018332085727762696524569137599714464159632093462668654701723570223457280627037826909447275421655168568605508601893111<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 8, 2022 10:28:09 UTC 2022 年 6 月 8 日 (水) 19 時 28 分 9 秒 (日本時間)

41×10277-149

c264

composite cofactor 合成数の残り
788930693231588761612311931009659467206053950065613319751485561673918280554099159152132415112462549850152823527450450242303073691246986810927839037449670322922730396088924679480196664037473018064953036492306025059481625899939256317589690899110591902395126267305151<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 8, 2022 10:28:02 UTC 2022 年 6 月 8 日 (水) 19 時 28 分 2 秒 (日本時間)

41×10278-149

c279

composite cofactor 合成数の残り
227777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 28, 2022 21:54:46 UTC 2022 年 5 月 29 日 (日) 6 時 54 分 46 秒 (日本時間)

41×10279-149

c233

composite cofactor 合成数の残り
65354778708617430880976778663771587196041710837972599894713844972089449183797007673831726528877546670110502202065371765369483774661589130386027357370936075840465688014151041533766086190096896867722561557728468293236167058434671714921<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10281-149

c248

composite cofactor 合成数の残り
36079394395428314620223389121913517015602286687107254411719806092473594077952017455883227857051118111625335171696874617446139647498856931232493505551364675962204851579222703930778700912985478515174732393716763767832491480431799839608064592111809157<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10282-149

c270

name 名前Dmitry Domanov
date 日付May 31, 2022 17:26:05 UTC 2022 年 6 月 1 日 (水) 2 時 26 分 5 秒 (日本時間)
composite number 合成数
109210057479819067826244255985893755484535462672604199926679072897038220767667893371687620222235650420485838454770125278157469897323662123002640057277207662568257548781180045645500943706200647542454719795684742815594276002901673943479210289128245858045442651414665338433<270>
prime factors 素因数
7836282875844468201282229613309923<34>
composite cofactor 合成数の残り
13936461867202588566713692411560474855449469583018299867548566164760221562735430966050673145773733741574627903839811820492784455638202161294085896076729927022487240070745694041658753863597566704241927909923448350807767144101246755359371<236>
factorization results 素因数分解の結果
Resuming ECM residue saved by @c1752f073200 with GMP-ECM 7.0.5-dev on Sun May 29 11:54:55 2022 
Input number is 109210057479819067826244255985893755484535462672604199926679072897038220767667893371687620222235650420485838454770125278157469897323662123002640057277207662568257548781180045645500943706200647542454719795684742815594276002901673943479210289128245858045442651414665338433 (270 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1899488973
Step 1 took 0ms
Step 2 took 11361ms
********** Factor found in step 2: 7836282875844468201282229613309923
Found prime factor of 34 digits: 7836282875844468201282229613309923
Composite cofactor 13936461867202588566713692411560474855449469583018299867548566164760221562735430966050673145773733741574627903839811820492784455638202161294085896076729927022487240070745694041658753863597566704241927909923448350807767144101246755359371 has 236 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 28, 2022 21:54:54 UTC 2022 年 5 月 29 日 (日) 6 時 54 分 54 秒 (日本時間)

41×10283-149

c266

composite cofactor 合成数の残り
38891256927854861032946036675019954150694670499637316694925460755744423399662421555408008754491394401663179887500505579917881453879946533989619429038376557168575492181459828117001643739151870387483620168804063361909559590489387812876639530591284219370462814363375081<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 8, 2022 10:27:52 UTC 2022 年 6 月 8 日 (水) 19 時 27 分 52 秒 (日本時間)

41×10284-149

c276

composite cofactor 合成数の残り
125488308653611026720070507034947335733548702661424235987738389958603355410717353718697764043433762904281014140876980222489734280926207852347136780576664300524617469913421856719856963274042440352766898386747970899331986390921720370229126647484745399864624669513140988248746931<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 28, 2022 21:55:02 UTC 2022 年 5 月 29 日 (日) 6 時 55 分 2 秒 (日本時間)

41×10285-149

c221

composite cofactor 合成数の残り
47597653784380790496354280845494934275526387093376785416679438394931383250192528667331159218458196426455285971760065594658717571587819395402395981791317257132885062409617320541426549864331340891320834490048889515425975407<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10287-149

c246

composite cofactor 合成数の残り
864441043318676007604558144460925509009252417245355912179899257011548450709909396427965936125150382310534942115849723265542611707831189195320411334391854408505677697976026803296003739006885097458398164970233602306892895884435878973682217464630527<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

41×10288-149

c282

composite cofactor 合成数の残り
140509295200508854755274240867517822627385230105664155189816028849395907016322060080664261599904223381101764364253253652088470875791900963346121529806809109232686895303254734695455115810125772885943238316081499256935441140001672814565201765419101084450054946331240958012662848473933<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 28, 2022 21:55:11 UTC 2022 年 5 月 29 日 (日) 6 時 55 分 11 秒 (日本時間)

41×10290-149

c259

composite cofactor 合成数の残り
6936309083520163237302501595178760892449113526536981733028332791970850720138971843170803302250994710182571421468879145320522342694150546516764858390560369365316752381545581573541242654981842054973703510006980902239171232939638487018390107793894250255383868981<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 8, 2022 10:27:42 UTC 2022 年 6 月 8 日 (水) 19 時 27 分 42 秒 (日本時間)

41×10295-149

c295

composite cofactor 合成数の残り
2070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707<295>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 28, 2022 21:55:19 UTC 2022 年 5 月 29 日 (日) 6 時 55 分 19 秒 (日本時間)

41×10297-149

c269

composite cofactor 合成数の残り
29543848910088079213135826958956527613754242286202670199097959855385455585181123516735268715389644767540756081734416937300743355836196168123635657631677746761619676104879226092867684146074973403134466080517223435075070113778914084650026572399375563401701341525048060349<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 8, 2022 10:27:32 UTC 2022 年 6 月 8 日 (水) 19 時 27 分 32 秒 (日本時間)

41×10298-149

c278

composite cofactor 合成数の残り
26695946199121474129615274229069427268069356726177925770742381959732953065016730666729296862245030575742868798143001635597647563856095633953010727482876800362074358595698356824582834546002279955490802747748727434335145314700600404076328171057974354797944725418067770554207989777<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 28, 2022 21:55:27 UTC 2022 年 5 月 29 日 (日) 6 時 55 分 27 秒 (日本時間)

41×10299-149

c285

composite cofactor 合成数の残り
338449556878252303549198751040116174316717418602504892742149806842217586672239037128755080537566974990807910426748813641273080998657864066101299269710200249888707042250849877551458392536798280618273456853912256329908923048165734821327939852312342916474757624302572572116326221589763657<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 28, 2022 21:55:36 UTC 2022 年 5 月 29 日 (日) 6 時 55 分 36 秒 (日本時間)

41×10300-149

c265

composite cofactor 合成数の残り
1351350972542801989691817149543772349839921570571805121796082061261673963139594956347603823049838049919546256578797570191384418425458044800339165419385966083755377530959461267234864655542585681951222319833157612014157808131931608664273346845862977429121501161502089<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMay 7, 2022 19:12:44 UTC 2022 年 5 月 8 日 (日) 4 時 12 分 44 秒 (日本時間)
4511e63584Dmitry DomanovMay 13, 2022 09:30:23 UTC 2022 年 5 月 13 日 (金) 18 時 30 分 23 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovMay 13, 2022 09:30:23 UTC 2022 年 5 月 13 日 (金) 18 時 30 分 23 秒 (日本時間)