Table of contents 目次

19×10116+143

c105

name 名前Dmitry Domanov
date 日付October 5, 2022 21:39:52 UTC 2022 年 10 月 6 日 (木) 6 時 39 分 52 秒 (日本時間)
composite number 合成数
762878118227045772500894346797483390170750087859958380623922130532125425145043034548019803157013645963259<105>
prime factors 素因数
1583428657119945804645621293926225613862809774111<49>
481788753030795521878321710224891771227639425639487253669<57>
factorization results 素因数分解の結果
N=762878118227045772500894346797483390170750087859958380623922130532125425145043034548019803157013645963259
  ( 105 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=1583428657119945804645621293926225613862809774111 (pp49)
 r2=481788753030795521878321710224891771227639425639487253669 (pp57)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.32 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 762878118227045772500894346797483390170750087859958380623922130532125425145043034548019803157013645963259
m: 100000000000000000000000000000
deg: 4
c4: 19
c0: 14
skew: 0.93
# Murphy_E = 5.504e-08
type: snfs
lss: 1
rlim: 630000
alim: 630000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 630000/630000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [315000, 675001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 69079 x 69304
Total sieving time: 0.31 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,117.000,4,0,0,0,0,0,0,0,0,630000,630000,25,25,45,45,2.2,2.2,20000
total time: 0.32 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10117+143

c105

name 名前Dmitry Domanov
date 日付October 5, 2022 21:58:12 UTC 2022 年 10 月 6 日 (木) 6 時 58 分 12 秒 (日本時間)
composite number 合成数
182651051053069326077329879576239938139047753859530029515397553638021938355583425892812816152502305132341<105>
prime factors 素因数
877296126533162485593433819825513573519985510729749<51>
208197717428500434935547875803425699362034090612085409<54>
factorization results 素因数分解の結果
N=182651051053069326077329879576239938139047753859530029515397553638021938355583425892812816152502305132341
  ( 105 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=877296126533162485593433819825513573519985510729749 (pp51)
 r2=208197717428500434935547875803425699362034090612085409 (pp54)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.51 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 182651051053069326077329879576239938139047753859530029515397553638021938355583425892812816152502305132341
m: 100000000000000000000000000000
deg: 4
c4: 95
c0: 7
skew: 0.52
# Murphy_E = 5.809e-08
type: snfs
lss: 1
rlim: 650000
alim: 650000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 650000/650000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [325000, 525001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 52173 x 52400
Total sieving time: 0.50 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,117.000,4,0,0,0,0,0,0,0,0,650000,650000,25,25,45,45,2.2,2.2,50000
total time: 0.51 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10118+143

c111

name 名前Dmitry Domanov
date 日付October 5, 2022 21:58:11 UTC 2022 年 10 月 6 日 (木) 6 時 58 分 11 秒 (日本時間)
composite number 合成数
239076228979974398761095908421483066805742593907274173860074033452366367832201786799867056503862323036121340407<111>
prime factors 素因数
2664056272318961956330080721446794657814757025591<49>
89741433566591830439694933289114624540529105659300130963718977<62>
factorization results 素因数分解の結果
N=239076228979974398761095908421483066805742593907274173860074033452366367832201786799867056503862323036121340407
  ( 111 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=2664056272318961956330080721446794657814757025591 (pp49)
 r2=89741433566591830439694933289114624540529105659300130963718977 (pp62)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.65 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 239076228979974398761095908421483066805742593907274173860074033452366367832201786799867056503862323036121340407
m: 100000000000000000000000000000
deg: 4
c4: 950
c0: 7
skew: 0.29
# Murphy_E = 4.535e-08
type: snfs
lss: 1
rlim: 670000
alim: 670000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 670000/670000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [335000, 585001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 54955 x 55180
Total sieving time: 0.64 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,118.000,4,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000
total time: 0.65 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10119+143

c120

name 名前Dmitry Domanov
date 日付October 5, 2022 22:24:49 UTC 2022 年 10 月 6 日 (木) 7 時 24 分 49 秒 (日本時間)
composite number 合成数
316666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<120>
prime factors 素因数
444569261620724692192157105796628406522665332263<48>
712299958643619523863391224071518663954311377795022641842822544435050763<72>
factorization results 素因数分解の結果
N=316666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
  ( 120 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=444569261620724692192157105796628406522665332263 (pp48)
 r2=712299958643619523863391224071518663954311377795022641842822544435050763 (pp72)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.69 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 316666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
m: 500000000000000000000000000000
deg: 4
c4: 76
c0: 35
skew: 0.82
# Murphy_E = 3.817e-08
type: snfs
lss: 1
rlim: 720000
alim: 720000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 720000/720000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [360000, 610001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 68592 x 68817
Total sieving time: 0.67 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,120.000,4,0,0,0,0,0,0,0,0,720000,720000,25,25,46,46,2.2,2.2,50000
total time: 0.69 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10124+143

c117

name 名前Dmitry Domanov
date 日付October 5, 2022 23:45:44 UTC 2022 年 10 月 6 日 (木) 8 時 45 分 44 秒 (日本時間)
composite number 合成数
254119540565673360729078270682929172387465950088081443932480951660666783941497166458787520185082911729622201522268601<117>
prime factors 素因数
1268219016557071360774060852658987259879071822849<49>
200375122315663273949381345130834685194234753133828509289349784901049<69>
factorization results 素因数分解の結果
N=254119540565673360729078270682929172387465950088081443932480951660666783941497166458787520185082911729622201522268601
  ( 117 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=1268219016557071360774060852658987259879071822849 (pp49)
 r2=200375122315663273949381345130834685194234753133828509289349784901049 (pp69)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.87 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 254119540565673360729078270682929172387465950088081443932480951660666783941497166458787520185082911729622201522268601
m: 10000000000000000000000000000000
deg: 4
c4: 19
c0: 14
skew: 0.93
# Murphy_E = 2.294e-08
type: snfs
lss: 1
rlim: 860000
alim: 860000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 860000/860000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [430000, 730001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 94066 x 94293
Total sieving time: 0.85 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,125.000,4,0,0,0,0,0,0,0,0,860000,860000,26,26,46,46,2.3,2.3,75000
total time: 0.87 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10126+143

c120

name 名前Ignacio Santos
date 日付October 6, 2022 07:18:47 UTC 2022 年 10 月 6 日 (木) 16 時 18 分 47 秒 (日本時間)
composite number 合成数
272919781722780553850764533057379832773718503010290828203231467892151180436949167081863839861244135564369236562643722789<120>
prime factors 素因数
89381749264662138654607873907928769817<38>
3053417324767907534150609965831120402525353653961599081691580570890218406967892717<82>
factorization results 素因数分解の結果
Number: 1
N=272919781722780553850764533057379832773718503010290828203231467892151180436949167081863839861244135564369236562643722789
  ( 120 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=89381749264662138654607873907928769817 (pp38)
 r2=3053417324767907534150609965831120402525353653961599081691580570890218406967892717 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.64 hours.
Scaled time: 12.70 units (timescale=7.734).
Factorization parameters were as follows:
n: 272919781722780553850764533057379832773718503010290828203231467892151180436949167081863839861244135564369236562643722789
m: 10000000000000000000000000000000
deg: 4
c4: 950
c0: 7
skew: 0.29
# Murphy_E = 1.885e-08
type: snfs
lss: 1
rlim: 910000
alim: 910000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 910000/910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [455000, 830001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 107479 x 107710
Total sieving time: 1.63 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126.000,4,0,0,0,0,0,0,0,0,910000,910000,26,26,46,46,2.3,2.3,75000
total time: 1.64 hours.
 --------- CPU info (if available) ----------
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10128+143

c102

name 名前Ignacio Santos
date 日付October 6, 2022 07:39:31 UTC 2022 年 10 月 6 日 (木) 16 時 39 分 31 秒 (日本時間)
composite number 合成数
368698271128849834676395565674996785920908031996187878988339206632509586516533335073426699708248474479<102>
prime factors 素因数
3017034566498452627560036071672436631661601767959<49>
122205517703682872977286376901620859625134538558642281<54>
factorization results 素因数分解の結果
Number: 1
N=368698271128849834676395565674996785920908031996187878988339206632509586516533335073426699708248474479
  ( 102 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=3017034566498452627560036071672436631661601767959 (pp49)
 r2=122205517703682872977286376901620859625134538558642281 (pp54)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.09 hours.
Scaled time: 16.17 units (timescale=7.752).
Factorization parameters were as follows:
n: 368698271128849834676395565674996785920908031996187878988339206632509586516533335073426699708248474479
m: 100000000000000000000000000000000
deg: 4
c4: 19
c0: 14
skew: 0.93
# Murphy_E = 1.47e-08
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [500000, 1000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 120430 x 120655
Total sieving time: 2.07 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,100000
total time: 2.09 hours.
 --------- CPU info (if available) ----------
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10133+143

c125

name 名前Ignacio Santos
date 日付October 6, 2022 09:52:29 UTC 2022 年 10 月 6 日 (木) 18 時 52 分 29 秒 (日本時間)
composite number 合成数
12099239721258087194077093260900417088137473536308856896018934007011970717903486758355222357658012558477699955650440578397471<125>
prime factors 素因数
353971782447168120898809682654978884341<39>
34181367897775730443614353598077864823678522939383909670249813483377657858265208836931<86>
factorization results 素因数分解の結果
Number: 1
N=12099239721258087194077093260900417088137473536308856896018934007011970717903486758355222357658012558477699955650440578397471
  ( 125 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=353971782447168120898809682654978884341 (pp39)
 r2=34181367897775730443614353598077864823678522939383909670249813483377657858265208836931 (pp86)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.87 hours.
Scaled time: 22.38 units (timescale=7.794).
Factorization parameters were as follows:
n: 12099239721258087194077093260900417088137473536308856896018934007011970717903486758355222357658012558477699955650440578397471
m: 1000000000000000000000000000000000
deg: 4
c4: 95
c0: 7
skew: 0.52
# Murphy_E = 9.866e-09
type: snfs
lss: 1
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [600000, 1300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 146608 x 146833
Total sieving time: 2.85 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,133.000,4,0,0,0,0,0,0,0,0,1200000,1200000,26,26,47,47,2.3,2.3,100000
total time: 2.87 hours.
 --------- CPU info (if available) ----------
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10135+143

c125

name 名前Ignacio Santos
date 日付October 6, 2022 10:50:08 UTC 2022 年 10 月 6 日 (木) 19 時 50 分 8 秒 (日本時間)
composite number 合成数
73178951195485110342069235238716273256346574571795911203630044080204841255037881463345886247337983475598036950240170307087469<125>
prime factors 素因数
26733214531763295922607714360941946257<38>
2737379416475969168768978356367114845666172240561608837488486785570084751619740650732317<88>
factorization results 素因数分解の結果
Number: 1
N=73178951195485110342069235238716273256346574571795911203630044080204841255037881463345886247337983475598036950240170307087469
  ( 125 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=26733214531763295922607714360941946257 (pp38)
 r2=2737379416475969168768978356367114845666172240561608837488486785570084751619740650732317 (pp88)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.48 hours.
Scaled time: 27.16 units (timescale=7.813).
Factorization parameters were as follows:
n: 73178951195485110342069235238716273256346574571795911203630044080204841255037881463345886247337983475598036950240170307087469
m: 5000000000000000000000000000000000
deg: 4
c4: 76
c0: 35
skew: 0.82
# Murphy_E = 6.405e-09
type: snfs
lss: 1
rlim: 1330000
alim: 1330000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1330000/1330000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [665000, 1565001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 204767 x 204993
Total sieving time: 3.44 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,136.000,4,0,0,0,0,0,0,0,0,1330000,1330000,26,26,48,48,2.3,2.3,100000
total time: 3.48 hours.
 --------- CPU info (if available) ----------
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10142+143

c138

name 名前Bob Backstrom
date 日付October 6, 2022 05:04:23 UTC 2022 年 10 月 6 日 (木) 14 時 4 分 23 秒 (日本時間)
composite number 合成数
170271951191097106989932446843785342631974204695562712951960009391842360435250953971010752225633635700471922155248588087057360139515459797<138>
prime factors 素因数
306725855730789224294701851154577808241<39>
555127479505814489806231941266231721564960715204958068803532783502861993838757895727630199904311717<99>
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 170271951191097106989932446843785342631974204695562712951960009391842360435250953971010752225633635700471922155248588087057360139515459797 (138 digits)
Using B1=18500000, B2=70270355620, polynomial Dickson(12), sigma=1:4034354666
Step 1 took 36544ms
Step 2 took 16595ms
********** Factor found in step 2: 306725855730789224294701851154577808241
Found prime factor of 39 digits: 306725855730789224294701851154577808241
Prime cofactor 555127479505814489806231941266231721564960715204958068803532783502861993838757895727630199904311717 has 99 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10143+143

c138

name 名前Ignacio Santos
date 日付October 7, 2022 07:46:03 UTC 2022 年 10 月 7 日 (金) 16 時 46 分 3 秒 (日本時間)
composite number 合成数
978758871934037833666626486039292532481916142000397685183754251161889808235380175702671599611381214217348346464156304701030375524022348671<138>
prime factors 素因数
82213115042291041347787185299769351044675926704766099018871687<62>
11905142767435061287213369188432923427303818189770927376735125712860191209033<77>
factorization results 素因数分解の結果
Number: 1
N=978758871934037833666626486039292532481916142000397685183754251161889808235380175702671599611381214217348346464156304701030375524022348671
  ( 138 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=82213115042291041347787185299769351044675926704766099018871687 (pp62)
 r2=11905142767435061287213369188432923427303818189770927376735125712860191209033 (pp77)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.94 hours.
Scaled time: 61.98 units (timescale=7.806).
Factorization parameters were as follows:
n: 978758871934037833666626486039292532481916142000397685183754251161889808235380175702671599611381214217348346464156304701030375524022348671
m: 500000000000000000000000000000000000
deg: 4
c4: 76
c0: 35
skew: 0.82
# Murphy_E = 2.55e-09
type: snfs
lss: 1
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [900000, 1700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 262769 x 262995
Total sieving time: 7.90 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,144.000,4,0,0,0,0,0,0,0,0,1800000,1800000,26,26,49,49,2.3,2.3,100000
total time: 7.94 hours.
 --------- CPU info (if available) ----------
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10145+143

c136

name 名前Bob Backstrom
date 日付October 6, 2022 08:33:51 UTC 2022 年 10 月 6 日 (木) 17 時 33 分 51 秒 (日本時間)
composite number 合成数
5571832315673380720912048502146702680717447594604907308016068754076940130515199574188703500864536968344278743666512796177105226680898961<136>
prime factors 素因数
463743576639946221641500945095706512266349337627154798623721<60>
12014899173470149355656484157266313989994878584333490361281690528375005678441<77>
factorization results 素因数分解の結果
Number: n
N=5571832315673380720912048502146702680717447594604907308016068754076940130515199574188703500864536968344278743666512796177105226680898961  ( 136 digits)
SNFS difficulty: 145 digits.
Divisors found:

Thu Oct  6 19:30:54 2022  p60 factor: 463743576639946221641500945095706512266349337627154798623721
Thu Oct  6 19:30:54 2022  p77 factor: 12014899173470149355656484157266313989994878584333490361281690528375005678441
Thu Oct  6 19:30:54 2022  elapsed time 00:03:17 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 19x10^145+14 = 63(144)8
#
n: 5571832315673380720912048502146702680717447594604907308016068754076940130515199574188703500864536968344278743666512796177105226680898961
m: 1000000000000000000000000000000000000
deg: 4
c4: 95
c0: 7
skew: 0.52
# Murphy_E = 2.482e-09
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 400750 hash collisions in 5935740 relations (6213565 unique)
Msieve: matrix is 279628 x 279853 (96.0 MB)

Sieving start time : 2022/10/06 19:09:06
Sieving end time  : 2022/10/06 19:27:26

Total sieving time: 0hrs 18min 20secs.

Total relation processing time: 0hrs 1min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 20sec.

Prototype def-par.txt line would be:
snfs,145,4,0,0,0,0,0,0,0,0,1900000,1900000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10146+143

c131

name 名前Ignacio Santos
date 日付October 7, 2022 10:52:41 UTC 2022 年 10 月 7 日 (金) 19 時 52 分 41 秒 (日本時間)
composite number 合成数
24938747213371993890030499151038678879138410343578859089094368985050583028578184489516325911235752766520772314314629763016097117941<131>
prime factors 素因数
201639914542983862676775277193393557191615744669967470619<57>
123679616061609499726910400339511478015534128050181389481471411208175560239<75>
factorization results 素因数分解の結果
Number: 1
N=24938747213371993890030499151038678879138410343578859089094368985050583028578184489516325911235752766520772314314629763016097117941
  ( 131 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=201639914542983862676775277193393557191615744669967470619 (pp57)
 r2=123679616061609499726910400339511478015534128050181389481471411208175560239 (pp75)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.67 hours.
Scaled time: 36.59 units (timescale=7.831).
Factorization parameters were as follows:
n: 24938747213371993890030499151038678879138410343578859089094368985050583028578184489516325911235752766520772314314629763016097117941
m: 100000000000000000000000000000
deg: 5
c5: 95
c0: 7
skew: 0.59
# Murphy_E = 2.359e-09
type: snfs
lss: 1
rlim: 1970000
alim: 1970000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1970000/1970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [985000, 1985001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 260479 x 260707
Total sieving time: 4.62 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1970000,1970000,26,26,49,49,2.3,2.3,100000
total time: 4.67 hours.
 --------- CPU info (if available) ----------
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10148+143

c148

name 名前Bob Backstrom
date 日付October 6, 2022 02:14:03 UTC 2022 年 10 月 6 日 (木) 11 時 14 分 3 秒 (日本時間)
composite number 合成数
2878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787879<148>
prime factors 素因数
5734774892062731928746656662629701081203343357633<49>
501987947734843384626753589189733447474632574570446662891334166899204658188149949887863624042329063<99>
factorization results 素因数分解の結果
Number: n
N=2878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787879  ( 148 digits)
SNFS difficulty: 148 digits.
Divisors found:

Thu Oct  6 13:09:32 2022  p49 factor: 5734774892062731928746656662629701081203343357633
Thu Oct  6 13:09:32 2022  p99 factor: 501987947734843384626753589189733447474632574570446662891334166899204658188149949887863624042329063
Thu Oct  6 13:09:32 2022  elapsed time 00:06:12 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 19x10^148+14 = 63(147)8
#
n: 2878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787879
m: 100000000000000000000000000000
deg: 5
c5: 9500
c0: 7
skew: 0.24
# Murphy_E = 1.566e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 695250 hash collisions in 6842742 relations (6577756 unique)
Msieve: matrix is 347890 x 348115 (117.0 MB)

Sieving start time : 2022/10/06 12:45:58
Sieving end time  : 2022/10/06 13:03:07

Total sieving time: 0hrs 17min 9secs.

Total relation processing time: 0hrs 2min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 49sec.

Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10149+143

c136

name 名前Bob Backstrom
date 日付October 6, 2022 08:05:56 UTC 2022 年 10 月 6 日 (木) 17 時 5 分 56 秒 (日本時間)
composite number 合成数
4396986070891797196163627223457566849123693140575406863500367677541313244138293785029822180177282239311013072573004194040514591128253769<136>
prime factors 素因数
18361260067666848988142577018660369441144947423858622002121119<62>
239470823608377700549385231331041881553326020806126174192133105924787939351<75>
factorization results 素因数分解の結果
Number: n
N=4396986070891797196163627223457566849123693140575406863500367677541313244138293785029822180177282239311013072573004194040514591128253769  ( 136 digits)
SNFS difficulty: 149 digits.
Divisors found:

Thu Oct  6 19:02:15 2022  p62 factor: 18361260067666848988142577018660369441144947423858622002121119
Thu Oct  6 19:02:15 2022  p75 factor: 239470823608377700549385231331041881553326020806126174192133105924787939351
Thu Oct  6 19:02:15 2022  elapsed time 00:04:20 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 19x10^149+14 = 63(148)8
#
n: 4396986070891797196163627223457566849123693140575406863500367677541313244138293785029822180177282239311013072573004194040514591128253769
m: 10000000000000000000000000000000000000
deg: 4
c4: 95
c0: 7
skew: 0.52
# Murphy_E = 1.553e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 21100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 496872 hash collisions in 6527469 relations (6753902 unique)
Msieve: matrix is 343443 x 343668 (118.0 MB)

Sieving start time : 2022/10/06 17:20:40
Sieving end time  : 2022/10/06 18:56:47

Total sieving time: 1hrs 36min 7secs.

Total relation processing time: 0hrs 2min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 12sec.

Prototype def-par.txt line would be:
snfs,149,4,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10151+143

c131

name 名前Ignacio Santos
date 日付October 8, 2022 10:39:31 UTC 2022 年 10 月 8 日 (土) 19 時 39 分 31 秒 (日本時間)
composite number 合成数
24760676270166572458347894007031869698038760719248655608440461275703057712581338964938586999933492461548255710665881745880858196379<131>
prime factors 素因数
654330169502027022324135603439121749733<39>
37841257249395203662743555780802574028539674492664147692095729188555951664280759992003790463<92>
factorization results 素因数分解の結果
Number: 1
N=24760676270166572458347894007031869698038760719248655608440461275703057712581338964938586999933492461548255710665881745880858196379
  ( 131 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=654330169502027022324135603439121749733 (pp39)
 r2=37841257249395203662743555780802574028539674492664147692095729188555951664280759992003790463 (pp92)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.75 hours.
Scaled time: 60.37 units (timescale=7.788).
Factorization parameters were as follows:
n: 24760676270166572458347894007031869698038760719248655608440461275703057712581338964938586999933492461548255710665881745880858196379
m: 1000000000000000000000000000000
deg: 5
c5: 95
c0: 7
skew: 0.59
# Murphy_E = 1.526e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 1800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 337723 x 337949
Total sieving time: 7.69 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,151.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 7.75 hours.
 --------- CPU info (if available) ----------
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10153+143

c129

name 名前Ignacio Santos
date 日付October 8, 2022 11:45:05 UTC 2022 年 10 月 8 日 (土) 20 時 45 分 5 秒 (日本時間)
composite number 合成数
886309437140603851173158201753531493269536521117182252246591325260163383815980571542514298671495721581542211339180942957388220517<129>
prime factors 素因数
224836918700183184742388635438695337061<39>
3942010245757213959905579354652693090226954853247932011876424316807018249271874730264349697<91>
factorization results 素因数分解の結果
Number: 1
N=886309437140603851173158201753531493269536521117182252246591325260163383815980571542514298671495721581542211339180942957388220517
  ( 129 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=224836918700183184742388635438695337061 (pp39)
 r2=3942010245757213959905579354652693090226954853247932011876424316807018249271874730264349697 (pp91)
Version: Msieve v. 1.52 (SVN 927)
Total time: 10.62 hours.
Scaled time: 81.99 units (timescale=7.722).
Factorization parameters were as follows:
n: 886309437140603851173158201753531493269536521117182252246591325260163383815980571542514298671495721581542211339180942957388220517
m: 1000000000000000000000000000000
deg: 5
c5: 9500
c0: 7
skew: 0.24
# Murphy_E = 1.012e-09
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 416944 x 417169
Total sieving time: 10.54 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 10.62 hours.
 --------- CPU info (if available) ----------
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10156+143

c153

name 名前Ignacio Santos
date 日付October 10, 2022 10:33:07 UTC 2022 年 10 月 10 日 (月) 19 時 33 分 7 秒 (日本時間)
composite number 合成数
100974671300872633738294909813675159167968708480809497996449943135316688455937842118129736509252468564990487123072180946610971163759659024478386105885229<153>
prime factors 素因数
211334440565711541483615335733423309701729507188972400228182575526518127<72>
477795625883685279623645495239995852931792393132207438381767661418456416136635427<81>
factorization results 素因数分解の結果
Number: 1
N=100974671300872633738294909813675159167968708480809497996449943135316688455937842118129736509252468564990487123072180946610971163759659024478386105885229
  ( 153 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=211334440565711541483615335733423309701729507188972400228182575526518127 (pp72)
 r2=477795625883685279623645495239995852931792393132207438381767661418456416136635427 (pp81)
Version: Msieve v. 1.52 (SVN 927)
Total time: 12.04 hours.
Scaled time: 94.31 units (timescale=7.831).
Factorization parameters were as follows:
n: 100974671300872633738294909813675159167968708480809497996449943135316688455937842118129736509252468564990487123072180946610971163759659024478386105885229
m: 10000000000000000000000000000000
deg: 5
c5: 95
c0: 7
skew: 0.59
# Murphy_E = 9.819e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 375766 x 375991
Total sieving time: 11.97 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,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 12.04 hours.
 --------- CPU info (if available) ----------
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10158+143

c154

name 名前Bob Backstrom
date 日付October 12, 2022 23:54:16 UTC 2022 年 10 月 13 日 (木) 8 時 54 分 16 秒 (日本時間)
composite number 合成数
3743060562719904808059794407473512921439068884134545296942904536195395641501479493938211920268869950315796109581053021437886865009475853319306706382509269<154>
prime factors 素因数
9742942929044045384408442369374490200650695007798673<52>
384181719012405740898207493161028166918677966659015367580658260513230837754697903167148081639530965253<102>
factorization results 素因数分解の結果
Number: n
N=3743060562719904808059794407473512921439068884134545296942904536195395641501479493938211920268869950315796109581053021437886865009475853319306706382509269  ( 154 digits)
SNFS difficulty: 158 digits.
Divisors found:

Thu Oct 13 10:45:46 2022  p52 factor: 9742942929044045384408442369374490200650695007798673
Thu Oct 13 10:45:46 2022  p102 factor: 384181719012405740898207493161028166918677966659015367580658260513230837754697903167148081639530965253
Thu Oct 13 10:45:46 2022  elapsed time 00:05:55 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 19x10^158+14 = 63(157)8
#
n: 3743060562719904808059794407473512921439068884134545296942904536195395641501479493938211920268869950315796109581053021437886865009475853319306706382509269
m: 10000000000000000000000000000000
deg: 5
c5: 9500
c0: 7
skew: 0.24
# Murphy_E = 6.506e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1586468 hash collisions in 14752185 relations (14078114 unique)
Msieve: matrix is 396720 x 396946 (132.7 MB)

Sieving start time : 2022/10/13 10:10:34
Sieving end time  : 2022/10/13 10:39:32

Total sieving time: 0hrs 28min 58secs.

Total relation processing time: 0hrs 2min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 22sec.

Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10162+143

c148

name 名前Bob Backstrom
date 日付October 14, 2022 20:24:08 UTC 2022 年 10 月 15 日 (土) 5 時 24 分 8 秒 (日本時間)
composite number 合成数
2226203361169310877700084965811795073559856401856976895150662642283061520285575746178734499213207315096563373523639105086344028516195253888154116819<148>
prime factors 素因数
16157571223427458808133518636056863181<38>
261165634977425094049823184169189083788976104797459<51>
527561050836322178341021644086481870142498185194503094965061<60>
factorization results 素因数分解の結果
Number: n
N=2226203361169310877700084965811795073559856401856976895150662642283061520285575746178734499213207315096563373523639105086344028516195253888154116819  ( 148 digits)
SNFS difficulty: 162 digits.
Divisors found:

Sat Oct 15 07:17:37 2022  found factor: 527561050836322178341021644086481870142498185194503094965061
Sat Oct 15 07:18:28 2022  p38 factor: 16157571223427458808133518636056863181
Sat Oct 15 07:18:28 2022  p51 factor: 261165634977425094049823184169189083788976104797459
Sat Oct 15 07:18:28 2022  p60 factor: 527561050836322178341021644086481870142498185194503094965061
Sat Oct 15 07:18:28 2022  elapsed time 00:07:57 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 19x10^162+14 = 63(161)8
#
n: 2226203361169310877700084965811795073559856401856976895150662642283061520285575746178734499213207315096563373523639105086344028516195253888154116819
m: 100000000000000000000000000000000
deg: 5
c5: 950
c0: 7
skew: 0.37
# Murphy_E = 5.682e-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, 7400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1292772 hash collisions in 13568530 relations (13136152 unique)
Msieve: matrix is 427895 x 428123 (146.7 MB)

Sieving start time : 2022/10/15 06:28:49
Sieving end time  : 2022/10/15 07:10:02

Total sieving time: 0hrs 41min 13secs.

Total relation processing time: 0hrs 2min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 7sec.

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) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10163+143

c109

name 名前Eric Jeancolas
date 日付October 6, 2022 12:07:07 UTC 2022 年 10 月 6 日 (木) 21 時 7 分 7 秒 (日本時間)
composite number 合成数
1362384935511391755257339884857802628721800353601775854075086606780012516966649236682824386429398506157932793<109>
prime factors 素因数
265506056783723968316563168872836720251520710939<48>
5131276295595636185204053823199698565077040415837488248324987<61>
factorization results 素因数分解の結果
1362384935511391755257339884857802628721800353601775854075086606780012516966649236682824386429398506157932793=265506056783723968316563168872836720251520710939*5131276295595636185204053823199698565077040415837488248324987

cado polynomial
n: 1362384935511391755257339884857802628721800353601775854075086606780012516966649236682824386429398506157932793
skew: 37987.058
c0: 39515761308955809371866155
c1: 5218051821292506251215
c2: 41683316498312496
c3: -11495654129272
c4: -10002948
c5: 1080
Y0: -1304973164243613125364
Y1: 3419524613069
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.926e-06
# f(x) = 1080*x^5-10002948*x^4-11495654129272*x^3+41683316498312496*x^2+5218051821292506251215*x+39515761308955809371866155
# g(x) = 3419524613069*x-1304973164243613125364

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 5131276295595636185204053823199698565077040415837488248324987 265506056783723968316563168872836720251520710939
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 13467/32.240/38.335/43.250/0.989
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10851/31.080/33.968/38.900/0.768
Info:Polynomial Selection (size optimized): Total time: 1060.93
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 326.4
Info:Polynomial Selection (root optimized): Rootsieve time: 307.11
Info:Generate Factor Base: Total cpu/real time for makefb: 2.7/0.436128
Info:Generate Free Relations: Total cpu/real time for freerel: 77.8/9.78318
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4966168
Info:Lattice Sieving: Average J: 1905.1 for 66882 special-q, max bucket fill -bkmult 1.0,1s:1.235270
Info:Lattice Sieving: Total time: 16244.1s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 13.26/21.665
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 105.46/87.0215
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 74.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 82.09/81.5598
Info:Filtering - Merging: Merged matrix has 282293 rows and total weight 44345857 (157.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 62.84/9.15867
Info:Filtering - Merging: Total cpu/real time for replay: 9.54/7.6913
Info:Linear Algebra: Total cpu/real time for bwc: 853.81/228.36
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 139.92, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8960 iterations)
Info:Linear Algebra: Lingen CPU time 27.99, WCT time 7.59
Info:Linear Algebra: Mksol: WCT time 74.93, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4480 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 15.37/3.51108
Info:Square Root: Total cpu/real time for sqrt: 454.37/62.4043
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 41328.2/4691.91
Info:root: Cleaning up computation data in /tmp/cado.rvqn7igh
5131276295595636185204053823199698565077040415837488248324987 265506056783723968316563168872836720251520710939
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10164+143

c149

name 名前Bob Backstrom
date 日付October 14, 2022 14:40:09 UTC 2022 年 10 月 14 日 (金) 23 時 40 分 9 秒 (日本時間)
composite number 合成数
80217452069046103270938779316368027292178988688777623520395139101747543980508341336433447705463871616520981544617998933272165901349195319948429349167<149>
prime factors 素因数
103118780967358950491934492485391537628505408834964541<54>
777913114531852386379028340703796197863880333949841969684459955841440209578424448079567889780187<96>
factorization results 素因数分解の結果
Number: n
N=80217452069046103270938779316368027292178988688777623520395139101747543980508341336433447705463871616520981544617998933272165901349195319948429349167  ( 149 digits)
SNFS difficulty: 165 digits.
Divisors found:

Sat Oct 15 01:27:45 2022  p54 factor: 103118780967358950491934492485391537628505408834964541
Sat Oct 15 01:27:45 2022  p96 factor: 777913114531852386379028340703796197863880333949841969684459955841440209578424448079567889780187
Sat Oct 15 01:27:45 2022  elapsed time 00:08:38 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 19x10^164+14 = 63(163)8
#
n: 80217452069046103270938779316368027292178988688777623520395139101747543980508341336433447705463871616520981544617998933272165901349195319948429349167
m: 500000000000000000000000000000000
deg: 5
c5: 152
c0: 35
skew: 0.75
# Murphy_E = 3.907e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1494636 hash collisions in 13642994 relations (12966089 unique)
Msieve: matrix is 494584 x 494812 (170.7 MB)

Sieving start time : 2022/10/15 00:27:53
Sieving end time  : 2022/10/15 01:18:36

Total sieving time: 0hrs 50min 43secs.

Total relation processing time: 0hrs 4min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 23sec.

Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10166+143

c130

name 名前Bob Backstrom
date 日付October 8, 2022 15:25:56 UTC 2022 年 10 月 9 日 (日) 0 時 25 分 56 秒 (日本時間)
composite number 合成数
4497400169767692640523090226999831757918821833199798682580238925744201112988728737051226209845134702210152661140645640846681457187<130>
prime factors 素因数
3774397895113560778500390400925047718260025629005047<52>
1191554333895255312699465913706806512194002415908152674274359151554717053709621<79>
factorization results 素因数分解の結果
Number: n
N=4497400169767692640523090226999831757918821833199798682580238925744201112988728737051226209845134702210152661140645640846681457187  ( 130 digits)
Divisors found:

Sun Oct  9 02:16:03 2022  p52 factor: 3774397895113560778500390400925047718260025629005047
Sun Oct  9 02:16:03 2022  p79 factor: 1191554333895255312699465913706806512194002415908152674274359151554717053709621
Sun Oct  9 02:16:03 2022  elapsed time 00:13:15 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
#  N = 4497400169767692640523090226999831757918821833199798682580238925744201112988728737051226209845134702210152661140645640846681457187 (130 digits)
#
# N = 19x10^166+14 = 63(165)8
#

n: 4497400169767692640523090226999831757918821833199798682580238925744201112988728737051226209845134702210152661140645640846681457187

Y0: -32716247009143786035470863
Y1: 129918028960091
c0: -2359114276699637174840720887729440
c1: 7303024345645557628627435020
c2: 21949714825825148246180
c3: 1097698833403343
c4: -2581801114
c5: 120

# skew 2749695.14, size 1.615e-12, alpha -7.181, combined = 7.960e-11 rroots = 5

skew: 2749695.14

type: gnfs
rlim: 2800000
alim: 2800000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved  special-q in [100000, 28600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1979369 hash collisions in 8379293 relations (6346709 unique)
Msieve: matrix is 784501 x 784726 (277.9 MB)

Sieving start time : 2022/10/08 22:59:04
Sieving end time  : 2022/10/09 02:02:30

Total sieving time: 3hrs 3min 26secs.

Total relation processing time: 0hrs 8min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 24sec.

Prototype def-par.txt line would be:
gnfs,129,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,26,26,50,50,2.6,2.6,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10167+143

c160

name 名前Bob Backstrom
date 日付October 11, 2022 12:29:08 UTC 2022 年 10 月 11 日 (火) 21 時 29 分 8 秒 (日本時間)
composite number 合成数
2842719122602582728819386820158896687923712334790777473476166324192324623059409187989581129197397844337362905643638005525641522483877959865707435086082427501633<160>
prime factors 素因数
3974358857813580440838023434789338058592362102051057039<55>
715264832468211425806827788084894466779866315497408417990970019690109994831062161213547872359806733267247<105>
factorization results 素因数分解の結果
Number: n
N=2842719122602582728819386820158896687923712334790777473476166324192324623059409187989581129197397844337362905643638005525641522483877959865707435086082427501633  ( 160 digits)
SNFS difficulty: 167 digits.
Divisors found:

Tue Oct 11 23:25:54 2022  p55 factor: 3974358857813580440838023434789338058592362102051057039
Tue Oct 11 23:25:54 2022  p105 factor: 715264832468211425806827788084894466779866315497408417990970019690109994831062161213547872359806733267247
Tue Oct 11 23:25:54 2022  elapsed time 00:08:32 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 19x10^167+14 = 63(166)8
#
n: 2842719122602582728819386820158896687923712334790777473476166324192324623059409187989581129197397844337362905643638005525641522483877959865707435086082427501633
m: 1000000000000000000000000000000000
deg: 5
c5: 950
c0: 7
skew: 0.37
# Murphy_E = 3.619e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1572331 hash collisions in 14487373 relations (13801030 unique)
Msieve: matrix is 514832 x 515058 (178.3 MB)

Sieving start time : 2022/10/11 22:37:13
Sieving end time  : 2022/10/11 23:17:04

Total sieving time: 0hrs 39min 51secs.

Total relation processing time: 0hrs 4min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 0sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10169+143

c161

name 名前Bob Backstrom
date 日付October 7, 2022 17:37:15 UTC 2022 年 10 月 8 日 (土) 2 時 37 分 15 秒 (日本時間)
composite number 合成数
15094745539685935289054993714482017070576864972816850738198512474064063224708415845125170192600530218381389536450427110297856855035415162488183616701104399096919<161>
prime factors 素因数
314287673569150187458009883785387609494906720577530283269517<60>
48028436394801083119918778543379192927756782631236734842739299888795842366110923385219960596889185907<101>
factorization results 素因数分解の結果
Number: n
N=15094745539685935289054993714482017070576864972816850738198512474064063224708415845125170192600530218381389536450427110297856855035415162488183616701104399096919  ( 161 digits)
SNFS difficulty: 170 digits.
Divisors found:

Sat Oct  8 04:31:43 2022  p60 factor: 314287673569150187458009883785387609494906720577530283269517
Sat Oct  8 04:31:43 2022  p101 factor: 48028436394801083119918778543379192927756782631236734842739299888795842366110923385219960596889185907
Sat Oct  8 04:31:43 2022  elapsed time 00:09:57 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.310).
Factorization parameters were as follows:
#
# N = 19x10^169+14 = 63(168)8
#
n: 15094745539685935289054993714482017070576864972816850738198512474064063224708415845125170192600530218381389536450427110297856855035415162488183616701104399096919
m: 5000000000000000000000000000000000
deg: 5
c5: 152
c0: 35
skew: 0.75
# Murphy_E = 2.482e-10
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1646439 hash collisions in 14195643 relations (13382776 unique)
Msieve: matrix is 635298 x 635523 (219.7 MB)

Sieving start time : 2022/10/08 04:01:04
Sieving end time  : 2022/10/08 04:21:25

Total sieving time: 0hrs 20min 21secs.

Total relation processing time: 0hrs 5min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 40sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10172+143

c162

name 名前Bob Backstrom
date 日付October 6, 2022 22:40:18 UTC 2022 年 10 月 7 日 (金) 7 時 40 分 18 秒 (日本時間)
composite number 合成数
107162620681410364174747056660255948376903062768323676493888645546365543151248082036622766218195362044014999099637105981409467690953782185069004455593611945446703<162>
prime factors 素因数
9875563607966767328910638020185622406651<40>
10851291626025338804161698098157091882245562489119710940492185756661446998787284922082479728772158383957614895794715964253<122>
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 107162620681410364174747056660255948376903062768323676493888645546365543151248082036622766218195362044014999099637105981409467690953782185069004455593611945446703 (162 digits)
Using B1=16830000, B2=58559116990, polynomial Dickson(12), sigma=1:2979005761
Step 1 took 39276ms
Step 2 took 16151ms
********** Factor found in step 2: 9875563607966767328910638020185622406651
Found prime factor of 40 digits: 9875563607966767328910638020185622406651
Prime cofactor 10851291626025338804161698098157091882245562489119710940492185756661446998787284922082479728772158383957614895794715964253 has 122 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10173+143

c166

name 名前Bob Backstrom
date 日付October 7, 2022 10:21:00 UTC 2022 年 10 月 7 日 (金) 19 時 21 分 0 秒 (日本時間)
composite number 合成数
5356374630186733312145770611948379185563463011670576171743458275169447924725367537089384479088084774518081759104696527350125297161092690726700868415486898372494887721<166>
prime factors 素因数
16680452341510528647763880591129366216257509806199500360423425417<65>
321116869046590680296302616211226479597405894264920117093925001873096794600285559925439179712639946913<102>
factorization results 素因数分解の結果
Number: n
N=5356374630186733312145770611948379185563463011670576171743458275169447924725367537089384479088084774518081759104696527350125297161092690726700868415486898372494887721  ( 166 digits)
SNFS difficulty: 173 digits.
Divisors found:

Fri Oct  7 21:16:42 2022  p65 factor: 16680452341510528647763880591129366216257509806199500360423425417
Fri Oct  7 21:16:42 2022  p102 factor: 321116869046590680296302616211226479597405894264920117093925001873096794600285559925439179712639946913
Fri Oct  7 21:16:42 2022  elapsed time 00:15:29 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 19x10^173+14 = 63(172)8
#
n: 5356374630186733312145770611948379185563463011670576171743458275169447924725367537089384479088084774518081759104696527350125297161092690726700868415486898372494887721
m: 10000000000000000000000000000000000
deg: 5
c5: 9500
c0: 7
skew: 0.24
# Murphy_E = 1.679e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1673379 hash collisions in 13567914 relations (12655839 unique)
Msieve: matrix is 766326 x 766551 (266.3 MB)

Sieving start time : 2022/10/07 20:07:17
Sieving end time  : 2022/10/07 21:00:53

Total sieving time: 0hrs 53min 36secs.

Total relation processing time: 0hrs 9min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 57sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10176+143

c143

name 名前Ignacio Santos
date 日付October 14, 2022 10:25:36 UTC 2022 年 10 月 14 日 (金) 19 時 25 分 36 秒 (日本時間)
composite number 合成数
17394368808089505404721362129148523838366533378244426851543690469657204598510932297694684678847550965694584945940509204632117830169932168364127<143>
prime factors 素因数
486299849449258953947044916178258654757<39>
35768813886717956793048313088951544110275991844809847871814989530329778104503385770855062378469778287411<104>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2330615219
Step 1 took 5937ms
Step 2 took 3344ms
********** Factor found in step 2: 486299849449258953947044916178258654757
Found prime factor of 39 digits: 486299849449258953947044916178258654757
Prime cofactor 35768813886717956793048313088951544110275991844809847871814989530329778104503385770855062378469778287411 has 104 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10177+143

c163

name 名前Bob Backstrom
date 日付October 9, 2022 12:14:58 UTC 2022 年 10 月 9 日 (日) 21 時 14 分 58 秒 (日本時間)
composite number 合成数
1128409395033922524434055723187275891785849382318019799566758051964198962503688741998066429925716296498418583652465147011696736462068098518926897429610047112055971<163>
prime factors 素因数
386717553842604069964104718264608187281985987898648980680819690671302609<72>
2917916147900518243088636110243178028929549451676191135282711968733567981512473451743149619<91>
factorization results 素因数分解の結果
Number: n
N=1128409395033922524434055723187275891785849382318019799566758051964198962503688741998066429925716296498418583652465147011696736462068098518926897429610047112055971  ( 163 digits)
SNFS difficulty: 177 digits.
Divisors found:

Sun Oct  9 23:02:20 2022  p72 factor: 386717553842604069964104718264608187281985987898648980680819690671302609
Sun Oct  9 23:02:20 2022  p91 factor: 2917916147900518243088636110243178028929549451676191135282711968733567981512473451743149619
Sun Oct  9 23:02:20 2022  elapsed time 00:20:29 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 19x10^177+14 = 63(176)8
#
n: 1128409395033922524434055723187275891785849382318019799566758051964198962503688741998066429925716296498418583652465147011696736462068098518926897429610047112055971
m: 100000000000000000000000000000000000
deg: 5
c5: 950
c0: 7
skew: 0.37
# Murphy_E = 1.448e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 52050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1171327 hash collisions in 12954732 relations (12611305 unique)
Msieve: matrix is 970899 x 971124 (338.5 MB)

Sieving start time : 2022/10/09 16:03:03
Sieving end time  : 2022/10/09 22:40:02

Total sieving time: 6hrs 36min 59secs.

Total relation processing time: 0hrs 14min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 16sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6500000,6500000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10180+143

c167

name 名前Bob Backstrom
date 日付October 10, 2022 23:59:15 UTC 2022 年 10 月 11 日 (火) 8 時 59 分 15 秒 (日本時間)
composite number 合成数
96405289704634161825910608875557280102473319018511491808554965060865654602359620208486467395531772064062334363475649639419914488246950431256444441594236721461537530543<167>
prime factors 素因数
3688810979098384613720450921815942711046100769866306369944390419<64>
26134516040775134431323763114867515570138275856810447707909217696425571005211354007001618938145708622197<104>
factorization results 素因数分解の結果
Number: n
N=96405289704634161825910608875557280102473319018511491808554965060865654602359620208486467395531772064062334363475649639419914488246950431256444441594236721461537530543  ( 167 digits)
SNFS difficulty: 181 digits.
Divisors found:

Tue Oct 11 10:55:42 2022  p64 factor: 3688810979098384613720450921815942711046100769866306369944390419
Tue Oct 11 10:55:42 2022  p104 factor: 26134516040775134431323763114867515570138275856810447707909217696425571005211354007001618938145708622197
Tue Oct 11 10:55:42 2022  elapsed time 00:17:07 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 19x10^180+14 = 63(179)8
#
n: 96405289704634161825910608875557280102473319018511491808554965060865654602359620208486467395531772064062334363475649639419914488246950431256444441594236721461537530543
m: 1000000000000000000000000000000000000
deg: 5
c5: 19
c0: 14
skew: 0.94
# Murphy_E = 1.022e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1132857 hash collisions in 12480209 relations (12142710 unique)
Msieve: matrix is 923140 x 923367 (321.1 MB)

Sieving start time : 2022/10/11 09:40:55
Sieving end time  : 2022/10/11 10:38:16

Total sieving time: 0hrs 57min 21secs.

Total relation processing time: 0hrs 12min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 2sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10181+143

c156

name 名前Bob Backstrom
date 日付October 12, 2022 18:58:39 UTC 2022 年 10 月 13 日 (木) 3 時 58 分 39 秒 (日本時間)
composite number 合成数
547573073175814187344517942915245986074515739231749569428837141723064263816625180614236549362950657451000925104212481867259486816749871933598919165907184837<156>
prime factors 素因数
21112772725483165538403241490549804468959985508130538176699238691229<68>
25935630544390421104611686663297830582799682950496849813557761982532118125973768196289353<89>
factorization results 素因数分解の結果
Number: n
N=547573073175814187344517942915245986074515739231749569428837141723064263816625180614236549362950657451000925104212481867259486816749871933598919165907184837  ( 156 digits)
SNFS difficulty: 181 digits.
Divisors found:

Thu Oct 13 05:48:48 2022  p68 factor: 21112772725483165538403241490549804468959985508130538176699238691229
Thu Oct 13 05:48:48 2022  p89 factor: 25935630544390421104611686663297830582799682950496849813557761982532118125973768196289353
Thu Oct 13 05:48:48 2022  elapsed time 00:18:20 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 19x10^181+14 = 63(180)8
#
n: 547573073175814187344517942915245986074515739231749569428837141723064263816625180614236549362950657451000925104212481867259486816749871933598919165907184837
m: 1000000000000000000000000000000000000
deg: 5
c5: 95
c0: 7
skew: 0.59
# Murphy_E = 1.008e-10
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1119772 hash collisions in 12583962 relations (12271636 unique)
Msieve: matrix is 924021 x 924245 (321.7 MB)

Sieving start time : 2022/10/13 03:50:30
Sieving end time  : 2022/10/13 05:30:11

Total sieving time: 1hrs 39min 41secs.

Total relation processing time: 0hrs 12min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 8sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7600000,7600000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10185+143

c149

name 名前Bob Backstrom
date 日付October 13, 2022 15:39:58 UTC 2022 年 10 月 14 日 (金) 0 時 39 分 58 秒 (日本時間)
composite number 合成数
14396999501058953658856566338837616804140654214419009407335115922604747211255763690901046624348930120703408321976531128690647408519041865185843040913<149>
prime factors 素因数
3465593836795016988343507701970561084906134341309<49>
4154266246725930931799888339873923901611863674135267643003311258062108683949013580381102996858630757<100>
factorization results 素因数分解の結果
Number: n
N=14396999501058953658856566338837616804140654214419009407335115922604747211255763690901046624348930120703408321976531128690647408519041865185843040913  ( 149 digits)
SNFS difficulty: 186 digits.
Divisors found:

Fri Oct 14 01:45:51 2022  p49 factor: 3465593836795016988343507701970561084906134341309
Fri Oct 14 01:45:51 2022  p100 factor: 4154266246725930931799888339873923901611863674135267643003311258062108683949013580381102996858630757
Fri Oct 14 01:45:51 2022  elapsed time 00:33:09 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.354).
Factorization parameters were as follows:
#
# N = 19x10^185+14 = 63(184)8
#
n: 14396999501058953658856566338837616804140654214419009407335115922604747211255763690901046624348930120703408321976531128690647408519041865185843040913
m: 10000000000000000000000000000000000000
deg: 5
c5: 19
c0: 14
skew: 0.94
# Murphy_E = 6.4e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 10050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1237964 hash collisions in 12723635 relations (12278476 unique)
Msieve: matrix is 1241608 x 1241833 (434.3 MB)

Sieving start time : 2022/10/13 22:43:12
Sieving end time  : 2022/10/14 01:12:23

Total sieving time: 2hrs 29min 11secs.

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

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8900000,8900000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 12, 2022 11:01:03 UTC 2022 年 10 月 12 日 (水) 20 時 1 分 3 秒 (日本時間)

19×10186+143

c134

name 名前Norman D Powell
date 日付November 6, 2022 14:38:54 UTC 2022 年 11 月 6 日 (日) 23 時 38 分 54 秒 (日本時間)
composite number 合成数
22726288427092528550325632703907955389617686714810261824172717684018241900282487776559711979293842642414338629971914836662196768056833<134>
prime factors 素因数
9628083830548324605909136749026889840620253878099556827140237441<64>
2360416550901411716859886574220097183224877949436611145995869309386113<70>
factorization results 素因数分解の結果
New best polynomial is:
n: 22726288427092528550325632703907955389617686714810261824172717684018241900282487776559711979293842642414338629971914836662196768056833
skew: 59814.734
c0: 583527054270038973510617004816
c1: 12370874530334506871788802
c2: -165485923111593008715
c3: 9812527257658927
c4: -160533282504
c5: -861120
Y0: -54905466993012327932847428
Y1: 87705795206349514703
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=4.698e+13) = 2.338e-06
# f(x) = -861120*x^5-160533282504*x^4+9812527257658927*
    x^3-165485923111593008715*x^2+12370874530334506871788802*
        x+583527054270038973510617004816
# g(x) = 87705795206349514703*x-54905466993012327932847428
Factors: 
   9628083830548324605909136749026889840620253878099556827140237441
        2360416550901411716859886574220097183224877949436611145995869309386113
Total cpu/elapsed time for entire Complete Factorization 361546/63972
software ソフトウェア
CADO-NFS v3.0.0.
execution environment 実行環境
Ubuntu 20.04.4, Intel Xeon E5-1620.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 12, 2022 10:51:47 UTC 2022 年 10 月 12 日 (水) 19 時 51 分 47 秒 (日本時間)

19×10187+143

c139

name 名前Eric Jeancolas
date 日付November 7, 2022 12:17:34 UTC 2022 年 11 月 7 日 (月) 21 時 17 分 34 秒 (日本時間)
composite number 合成数
2177300483964097420567703679583512550681259771011474700537119507593240609570750009383184062943300386059550057224920779936115150481637768243<139>
prime factors 素因数
568391118243213735168353448155044381734172381<45>
3830637766989936850457822168262372190807192711233517945586469863622875825745601541253118273103<94>
factorization results 素因数分解の結果
2177300483964097420567703679583512550681259771011474700537119507593240609570750009383184062943300386059550057224920779936115150481637768243=568391118243213735168353448155044381734172381*3830637766989936850457822168262372190807192711233517945586469863622875825745601541253118273103

cado polynomial
n: 2177300483964097420567703679583512550681259771011474700537119507593240609570750009383184062943300386059550057224920779936115150481637768243
skew: 0.37
type: snfs
c0: 7
c5: 950
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 950*x^5+7
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9500000
tasks.lim1 = 9500000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 568391118243213735168353448155044381734172381 3830637766989936850457822168262372190807192711233517945586469863622875825745601541253118273103
Info:Square Root: Total cpu/real time for sqrt: 440.87/137.317
Info:Square Root: Total cpu/real time for sqrt: 440.87/137.317
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 96.86/107.136
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 106.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 212.38/243.359
Info:Filtering - Merging: Merged matrix has 1606296 rows and total weight 275113691 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 435.38/120.106
Info:Filtering - Merging: Total cpu/real time for replay: 61.7/53.1365
Info:Generate Free Relations: Total cpu/real time for freerel: 119.25/31.3062
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23190518
Info:Lattice Sieving: Average J: 1896.25 for 1229007 special-q, max bucket fill -bkmult 1.0,1s:1.141300
Info:Lattice Sieving: Total time: 276240s
Info:Linear Algebra: Total cpu/real time for bwc: 42030.6/10801.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 26863.03, WCT time 6860.21, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50432 iterations)
Info:Linear Algebra: Lingen CPU time 330.46, WCT time 83.91
Info:Linear Algebra: Mksol: CPU time 14545.93,  WCT time 3748.77, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.04/2.18978
Info:Quadratic Characters: Total cpu/real time for characters: 57.71/25.0246
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 322.93/312.448
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 261.59999999999997s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 572658/83470.5
Info:root: Cleaning up computation data in /tmp/cado.miavbqkh
568391118243213735168353448155044381734172381 3830637766989936850457822168262372190807192711233517945586469863622875825745601541253118273103
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 10, 2022 14:43:36 UTC 2022 年 10 月 10 日 (月) 23 時 43 分 36 秒 (日本時間)

19×10188+143

c172

name 名前Bob Backstrom
date 日付October 23, 2022 01:57:21 UTC 2022 年 10 月 23 日 (日) 10 時 57 分 21 秒 (日本時間)
composite number 合成数
7378230819862734066369597164711463774452394815985386563801060514621884526987600414499733816983757802992406679165079379163064955396854104174207690504861910790075017056304741<172>
prime factors 素因数
91125794229687200725522962425633305829062857000731328040736807838572299<71>
80967533750822822893524530837091995018082483560252207166443294231549504485715935352610173665353530959<101>
factorization results 素因数分解の結果
Number: n
N=7378230819862734066369597164711463774452394815985386563801060514621884526987600414499733816983757802992406679165079379163064955396854104174207690504861910790075017056304741  ( 172 digits)
SNFS difficulty: 188 digits.
Divisors found:

Sun Oct 23 12:46:12 2022  p71 factor: 91125794229687200725522962425633305829062857000731328040736807838572299
Sun Oct 23 12:46:12 2022  p101 factor: 80967533750822822893524530837091995018082483560252207166443294231549504485715935352610173665353530959
Sun Oct 23 12:46:12 2022  elapsed time 00:38:05 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 19x10^188+14 = 63(187)8
#
n: 7378230819862734066369597164711463774452394815985386563801060514621884526987600414499733816983757802992406679165079379163064955396854104174207690504861910790075017056304741
m: 10000000000000000000000000000000000000
deg: 5
c5: 9500
c0: 7
skew: 0.24
# Murphy_E = 4.156e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 17750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1479217 hash collisions in 13253403 relations (12557572 unique)
Msieve: matrix is 1346873 x 1347099 (472.5 MB)

Sieving start time : 2022/10/23 08:31:24
Sieving end time  : 2022/10/23 12:07:48

Total sieving time: 3hrs 36min 24secs.

Total relation processing time: 0hrs 32min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 8sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9900000,9900000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 11, 2022 15:25:30 UTC 2022 年 10 月 12 日 (水) 0 時 25 分 30 秒 (日本時間)

19×10189+143

c162

name 名前Ignacio Santos
date 日付October 13, 2022 11:59:15 UTC 2022 年 10 月 13 日 (木) 20 時 59 分 15 秒 (日本時間)
composite number 合成数
570839086339712906218664339831566279286459956137181156536897219120196916918910258588516489371299616979431058640617048025654091563378682168770180703150161326356617<162>
prime factors 素因数
17115545314026883033982002893101971201<38>
composite cofactor 合成数の残り
33352082908622674167427421681162966173222940692104629886418039831581346739206797670879123370434007947530201492691258691406217<125>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4279775951
Step 1 took 5016ms
Step 2 took 2984ms
********** Factor found in step 2: 17115545314026883033982002893101971201
Found prime factor of 38 digits: 17115545314026883033982002893101971201
Composite cofactor 33352082908622674167427421681162966173222940692104629886418039831581346739206797670879123370434007947530201492691258691406217 has 125 digits
software ソフトウェア
GMP-ECM

c125

name 名前Ignacio Santos
date 日付October 14, 2022 09:45:24 UTC 2022 年 10 月 14 日 (金) 18 時 45 分 24 秒 (日本時間)
composite number 合成数
33352082908622674167427421681162966173222940692104629886418039831581346739206797670879123370434007947530201492691258691406217<125>
prime factors 素因数
35064194826079660741105574204395999337<38>
951172073793533373151298919739668090884538754508055643352637451406395840080333527518241<87>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3927137659
Step 1 took 17593ms
Step 2 took 9313ms
********** Factor found in step 2: 35064194826079660741105574204395999337
Found prime factor of 38 digits: 35064194826079660741105574204395999337
Prime cofactor 951172073793533373151298919739668090884538754508055643352637451406395840080333527518241 has 87 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10190+143

c172

name 名前Bob Backstrom
date 日付October 21, 2022 06:15:18 UTC 2022 年 10 月 21 日 (金) 15 時 15 分 18 秒 (日本時間)
composite number 合成数
1295120185936855486272895479241573544155710224896417883158997238230784263945297352512793475074825525910947080444829448639015567114978045223437966724423813833017510097383863<172>
prime factors 素因数
459402495660970426471061655119368024912163485529779107801828705565781739646259669789<84>
2819140510052055727433395694172277762227448794920144834947411699010572526895381642372067<88>
factorization results 素因数分解の結果
Number: n
N=1295120185936855486272895479241573544155710224896417883158997238230784263945297352512793475074825525910947080444829448639015567114978045223437966724423813833017510097383863  ( 172 digits)
SNFS difficulty: 191 digits.
Divisors found:

Fri Oct 21 17:07:07 2022  p84 factor: 459402495660970426471061655119368024912163485529779107801828705565781739646259669789
Fri Oct 21 17:07:07 2022  p88 factor: 2819140510052055727433395694172277762227448794920144834947411699010572526895381642372067
Fri Oct 21 17:07:07 2022  elapsed time 00:44:37 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 19x10^190+14 = 63(189)8
#
n: 1295120185936855486272895479241573544155710224896417883158997238230784263945297352512793475074825525910947080444829448639015567114978045223437966724423813833017510097383863
m: 100000000000000000000000000000000000000
deg: 5
c5: 19
c0: 14
skew: 0.94
# Murphy_E = 3.989e-11
type: snfs
lss: 1
rlim: 10800000
alim: 10800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 10800000/10800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 18200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1472797 hash collisions in 13166908 relations (12469894 unique)
Msieve: matrix is 1435375 x 1435600 (501.3 MB)

Sieving start time : 2022/10/21 12:35:15
Sieving end time  : 2022/10/21 16:22:12

Total sieving time: 3hrs 46min 57secs.

Total relation processing time: 0hrs 37min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 10sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10800000,10800000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 13, 2022 12:39:12 UTC 2022 年 10 月 13 日 (木) 21 時 39 分 12 秒 (日本時間)

19×10191+143

c182

name 名前Bob Backstrom
date 日付October 18, 2022 20:50:42 UTC 2022 年 10 月 19 日 (水) 5 時 50 分 42 秒 (日本時間)
composite number 合成数
12537076319255182186174604050112774780430441436102976364586416777353191164146067565122909555039075317770220039039277700863524993471992859253798491232077557074577292300730283034104079<182>
prime factors 素因数
1741348096134059033201984425245367472810598709298606611<55>
7199638226893611078478588789762667561056456959218604310029987340476613671901451847641403960799762956453806199251619960474608789<127>
factorization results 素因数分解の結果
Number: n
N=12537076319255182186174604050112774780430441436102976364586416777353191164146067565122909555039075317770220039039277700863524993471992859253798491232077557074577292300730283034104079  ( 182 digits)
SNFS difficulty: 191 digits.
Divisors found:

Wed Oct 19 07:42:02 2022  p55 factor: 1741348096134059033201984425245367472810598709298606611
Wed Oct 19 07:42:02 2022  p127 factor: 7199638226893611078478588789762667561056456959218604310029987340476613671901451847641403960799762956453806199251619960474608789
Wed Oct 19 07:42:02 2022  elapsed time 00:36:55 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 19x10^191+14 = 63(190)8
#
n: 12537076319255182186174604050112774780430441436102976364586416777353191164146067565122909555039075317770220039039277700863524993471992859253798491232077557074577292300730283034104079
m: 100000000000000000000000000000000000000
deg: 5
c5: 95
c0: 7
skew: 0.59
# Murphy_E = 3.93e-11
type: snfs
lss: 1
rlim: 11100000
alim: 11100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 18350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1680279 hash collisions in 14307351 relations (13462337 unique)
Msieve: matrix is 1321596 x 1321821 (459.8 MB)

Sieving start time : 2022/10/19 03:07:03
Sieving end time  : 2022/10/19 07:04:47

Total sieving time: 3hrs 57min 44secs.

Total relation processing time: 0hrs 31min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 35sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11100000,11100000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 14, 2022 07:48:37 UTC 2022 年 10 月 14 日 (金) 16 時 48 分 37 秒 (日本時間)

19×10192+143

c187

name 名前Bob Backstrom
date 日付October 17, 2022 03:47:49 UTC 2022 年 10 月 17 日 (月) 12 時 47 分 49 秒 (日本時間)
composite number 合成数
4089942572901073760607481322954350644122903204835948098198229614542285916261224201610920749398025031309586696234798867387271495984752694088224797020455309628026180798709816852371585489917<187>
prime factors 素因数
815518145223907977506877467925323961474477718520690626310528134028543274868428239<81>
5015146010979489071193357230829934099279070847385381150262480843402927711326670215544753306617969440626803<106>
factorization results 素因数分解の結果
Number: n
N=4089942572901073760607481322954350644122903204835948098198229614542285916261224201610920749398025031309586696234798867387271495984752694088224797020455309628026180798709816852371585489917  ( 187 digits)
SNFS difficulty: 192 digits.
Divisors found:

Mon Oct 17 14:43:30 2022  p81 factor: 815518145223907977506877467925323961474477718520690626310528134028543274868428239
Mon Oct 17 14:43:30 2022  p106 factor: 5015146010979489071193357230829934099279070847385381150262480843402927711326670215544753306617969440626803
Mon Oct 17 14:43:30 2022  elapsed time 00:57:13 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.304).
Factorization parameters were as follows:
#
# N = 19x10^192+14 = 63(191)8
#
n: 4089942572901073760607481322954350644122903204835948098198229614542285916261224201610920749398025031309586696234798867387271495984752694088224797020455309628026180798709816852371585489917
m: 100000000000000000000000000000000000000
deg: 5
c5: 950
c0: 7
skew: 0.37
# Murphy_E = 3.541e-11
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 18550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1329037 hash collisions in 12416518 relations (11826348 unique)
Msieve: matrix is 1632285 x 1632510 (575.8 MB)

Sieving start time : 2022/10/17 10:21:21
Sieving end time  : 2022/10/17 13:45:59

Total sieving time: 3hrs 24min 38secs.

Total relation processing time: 0hrs 50min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 34sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11500000,11500000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10195+143

c196

name 名前Bob Backstrom
date 日付October 22, 2022 00:12:41 UTC 2022 年 10 月 22 日 (土) 9 時 12 分 41 秒 (日本時間)
composite number 合成数
3166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<196>
prime factors 素因数
285538988407382252544872199282924222865331<42>
11090137582713368155484079890124252314874673088833247487327141513048211484807586020778616223766401852987924215980966783099102150980823199946420749634771999<155>
factorization results 素因数分解の結果
Number: n
N=3166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669  ( 196 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sat Oct 22 09:06:22 2022  p42 factor: 285538988407382252544872199282924222865331
Sat Oct 22 09:06:22 2022  p155 factor: 11090137582713368155484079890124252314874673088833247487327141513048211484807586020778616223766401852987924215980966783099102150980823199946420749634771999
Sat Oct 22 09:06:22 2022  elapsed time 01:03:33 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.355).
Factorization parameters were as follows:
#
# N = 19x10^195+14 = 63(194)8
#
n: 3166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
m: 1000000000000000000000000000000000000000
deg: 5
c5: 19
c0: 14
skew: 0.94
# Murphy_E = 2.476e-11
type: snfs
lss: 1
rlim: 13100000
alim: 13100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 19392691)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1808774 hash collisions in 13867576 relations (12810202 unique)
Msieve: matrix is 1691473 x 1691698 (590.1 MB)

Sieving start time : 2022/10/22 02:33:40
Sieving end time  : 2022/10/22 08:02:28

Total sieving time: 5hrs 28min 48secs.

Total relation processing time: 0hrs 55min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 8sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13100000,13100000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 19, 2022 10:24:31 UTC 2022 年 10 月 19 日 (水) 19 時 24 分 31 秒 (日本時間)

19×10197+143

c183

name 名前Bob Backstrom
date 日付October 27, 2022 11:04:58 UTC 2022 年 10 月 27 日 (木) 20 時 4 分 58 秒 (日本時間)
composite number 合成数
404890741902454487320902346318900246995140234978188906534652961694593004636799526219538043856596611368139707311973383301688380352742129830742057822530957671826618071769417058477992783<183>
prime factors 素因数
2234265931962852078518702722047877938509484278600788760344036977628157<70>
181218688478478928412289174729478940687081897172700561480921763619242262942915057965048236956395403988129825935419<114>
factorization results 素因数分解の結果
Number: n
N=404890741902454487320902346318900246995140234978188906534652961694593004636799526219538043856596611368139707311973383301688380352742129830742057822530957671826618071769417058477992783  ( 183 digits)
SNFS difficulty: 197 digits.
Divisors found:

Thu Oct 27 21:44:47 2022  p70 factor: 2234265931962852078518702722047877938509484278600788760344036977628157
Thu Oct 27 21:44:47 2022  p114 factor: 181218688478478928412289174729478940687081897172700561480921763619242262942915057965048236956395403988129825935419
Thu Oct 27 21:44:47 2022  elapsed time 01:14:19 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 19x10^197+14 = 63(196)8
#
n: 404890741902454487320902346318900246995140234978188906534652961694593004636799526219538043856596611368139707311973383301688380352742129830742057822530957671826618071769417058477992783
m: 1000000000000000000000000000000000000000
deg: 5
c5: 950
c0: 7
skew: 0.37
# Murphy_E = 2.196e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 19867487)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1803544 hash collisions in 14094086 relations (13066387 unique)
Msieve: matrix is 1771998 x 1772223 (623.9 MB)

Sieving start time : 2022/10/27 14:06:30
Sieving end time  : 2022/10/27 20:30:08

Total sieving time: 6hrs 23min 38secs.

Total relation processing time: 1hrs 2min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 40sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,14000000,14000000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 24, 2022 13:11:50 UTC 2022 年 10 月 24 日 (月) 22 時 11 分 50 秒 (日本時間)

19×10199+143

c159

name 名前Bob Backstrom
date 日付October 29, 2022 19:29:30 UTC 2022 年 10 月 30 日 (日) 4 時 29 分 30 秒 (日本時間)
composite number 合成数
107624940625155872870738163728699206481574311123530893474444162704673510162532410047440414358425046151243873674008830608480773540652244882802527283188026614769<159>
prime factors 素因数
649651727885520449437908665122813697359<39>
165665595896207938405633073547874616574985378000954162277407645009967016565048653641600506733524227301428054403092748991<120>
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 107624940625155872870738163728699206481574311123530893474444162704673510162532410047440414358425046151243873674008830608480773540652244882802527283188026614769 (159 digits)
Using B1=29790000, B2=144289285156, polynomial Dickson(12), sigma=1:3802158940
Step 1 took 70255ms
Step 2 took 24245ms
********** Factor found in step 2: 649651727885520449437908665122813697359
Found prime factor of 39 digits: 649651727885520449437908665122813697359
Prime cofactor 165665595896207938405633073547874616574985378000954162277407645009967016565048653641600506733524227301428054403092748991 has 120 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10200+143

c150

name 名前Eric Jeancolas
date 日付July 2, 2023 07:41:22 UTC 2023 年 7 月 2 日 (日) 16 時 41 分 22 秒 (日本時間)
composite number 合成数
350193622105814178549164836887790599427138519224688315865138242915001657231558396669258286428767258723118590443762421030871336303756286214042745650111<150>
prime factors 素因数
41914752440319605947998765276027500745301996861496659063434335139802737137<74>
8354901358523779518713952648867518367975084703408209292141475517082476925103<76>
factorization results 素因数分解の結果
350193622105814178549164836887790599427138519224688315865138242915001657231558396669258286428767258723118590443762421030871336303756286214042745650111=41914752440319605947998765276027500745301996861496659063434335139802737137*8354901358523779518713952648867518367975084703408209292141475517082476925103

cado polynomial
n: 350193622105814178549164836887790599427138519224688315865138242915001657231558396669258286428767258723118590443762421030871336303756286214042745650111
skew: 0.94
type: snfs
c0: 14
c5: 19
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 19*x^5+14
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15800000
tasks.lim1 = 15800000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 41914752440319605947998765276027500745301996861496659063434335139802737137 8354901358523779518713952648867518367975084703408209292141475517082476925103
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2321.87/136.117
Info:HTTP server: Got notification to stop serving Workunits
Info:Linear Algebra: Total cpu/real time for bwc: 72313.6/9051.85
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 47645.13, WCT time 5939.22, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.04, comm-wait 0.0 (71168 iterations)
Info:Linear Algebra: Lingen CPU time 392.07, WCT time 25.41
Info:Linear Algebra: Mksol: CPU time 23823.53,  WCT time 3033.39, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.04, comm-wait 0.0 (35840 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.34/0.362733
Info:Square Root: Total cpu/real time for sqrt: 2321.87/136.117
Info:Generate Free Relations: Total cpu/real time for freerel: 134.11/12.3334
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 166.71/130.213
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 130.1s
Info:Quadratic Characters: Total cpu/real time for characters: 63.46/12.093
Info:Filtering - Singleton removal: Total cpu/real time for purge: 193.37/106.063
Info:Filtering - Merging: Merged matrix has 2276797 rows and total weight 388964328 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 506.17/29.91
Info:Filtering - Merging: Total cpu/real time for replay: 42.12/36.7822
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 43271105
Info:Lattice Sieving: Average J: 3789.77 for 1251084 special-q, max bucket fill -bkmult 1.0,1s:1.148830
Info:Lattice Sieving: Total time: 465078s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 388.71/232.006
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 209.4s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 961897/48715.2
Info:root: Cleaning up computation data in /tmp/cado._1h4tz2z
41914752440319605947998765276027500745301996861496659063434335139802737137 8354901358523779518713952648867518367975084703408209292141475517082476925103
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 2, 2022 10:04:46 UTC 2022 年 11 月 2 日 (水) 19 時 4 分 46 秒 (日本時間)

19×10201+143

c199

name 名前Bob Backstrom
date 日付June 11, 2023 09:28:00 UTC 2023 年 6 月 11 日 (日) 18 時 28 分 0 秒 (日本時間)
composite number 合成数
2870957993351465699607132064067694167422181928074947113931701420368691447567240858265336959806588093079480205500151103052281656089453006950740404956180114838319734058627984285282562707766696887277123<199>
prime factors 素因数
281045742159804473902689591827663953254759187<45>
10215269483495750432052067979979289646385988120656946242580996514115387259220553864723313540325232055411448388091788175308838099525111237654509708791066129<155>
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 2870957993351465699607132064067694167422181928074947113931701420368691447567240858265336959806588093079480205500151103052281656089453006950740404956180114838319734058627984285282562707766696887277123 (199 digits)
Using B1=41360000, B2=192394462276, polynomial Dickson(12), sigma=1:2099939380
Step 1 took 129278ms
Step 2 took 36798ms
********** Factor found in step 2: 281045742159804473902689591827663953254759187
Found prime factor of 45 digits: 281045742159804473902689591827663953254759187
Prime cofactor 10215269483495750432052067979979289646385988120656946242580996514115387259220553864723313540325232055411448388091788175308838099525111237654509708791066129 has 155 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 7, 2022 08:32:31 UTC 2022 年 11 月 7 日 (月) 17 時 32 分 31 秒 (日本時間)

19×10202+143

c154

name 名前Bob Backstrom
date 日付August 4, 2023 06:15:55 UTC 2023 年 8 月 4 日 (金) 15 時 15 分 55 秒 (日本時間)
composite number 合成数
3746488592148212574881307506053974357558305468230034611095048736713031914127064014863122325089162989699993834512200138092958987588632070956086849982912381<154>
prime factors 素因数
571401097496628257397772636035500012485472375024827223<54>
6556670276907054732044355077278147550328689517121410921833153654903953495922004819522920720731542347<100>
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 3746488592148212574881307506053974357558305468230034611095048736713031914127064014863122325089162989699993834512200138092958987588632070956086849982912381 (154 digits)
Using B1=45930000, B2=240493423186, polynomial Dickson(12), sigma=1:3528906053
Step 1 took 91613ms
Step 2 took 31888ms
********** Factor found in step 2: 571401097496628257397772636035500012485472375024827223
Found prime factor of 54 digits: 571401097496628257397772636035500012485472375024827223
Prime cofactor 6556670276907054732044355077278147550328689517121410921833153654903953495922004819522920720731542347 has 100 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 9, 2023 14:54:20 UTC 2023 年 7 月 9 日 (日) 23 時 54 分 20 秒 (日本時間)

19×10203+143

c131

name 名前ebina
date 日付October 13, 2022 21:43:13 UTC 2022 年 10 月 14 日 (金) 6 時 43 分 13 秒 (日本時間)
composite number 合成数
22662259971487948637297303647661514499381776305506491512875283757128603729216260771363562190495611141251820877789289646415301698631<131>
prime factors 素因数
38231308093315132438526534581693041649819865317428387180191<59>
592767056679667152325486704049470632132387620843075725446572414904938841<72>
factorization results 素因数分解の結果
Number: 63338_203
N = 22662259971487948637297303647661514499381776305506491512875283757128603729216260771363562190495611141251820877789289646415301698631 (131 digits)
Divisors found:
r1=38231308093315132438526534581693041649819865317428387180191 (pp59)
r2=592767056679667152325486704049470632132387620843075725446572414904938841 (pp72)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 16.67 hours.
Factorization parameters were as follows:
n: 22662259971487948637297303647661514499381776305506491512875283757128603729216260771363562190495611141251820877789289646415301698631
# norm 1.638007e-12 alpha -5.606402 e 7.373e-11 rroots 3
skew: 2703871.39
c0: -690916647299108065147203576502185
c1: 1580787754520663862877452522
c2: 1211466880142587379914
c3: -806560906778704
c4: 175387509
c5: 24
Y0: -62376083492221450378058704
Y1: 28752014295281
type: gnfs
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20466889
Relations: 2835848 relations
Pruned matrix : 1590620 x 1590862
Polynomial selection time: 0.23 hours.
Total sieving time: 14.42 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 1.66 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,7500000,7500000,28,28,55,55,2.5,2.5,100000
total time: 16.67 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 2.19GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 8, 2022 09:46:56 UTC 2022 年 10 月 8 日 (土) 18 時 46 分 56 秒 (日本時間)
4511e64480Ignacio SantosOctober 12, 2022 10:23:41 UTC 2022 年 10 月 12 日 (水) 19 時 23 分 41 秒 (日本時間)

19×10205+143

c151

composite cofactor 合成数の残り
7517651318469797750061155132324823574412394872071775191909343111145389791085437439436977846730482267310764849385001778473753561940153138743455400428859<151>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62125Rytis SlatkevičiusJanuary 15, 2024 06:57:46 UTC 2024 年 1 月 15 日 (月) 15 時 57 分 46 秒 (日本時間)
4511e64480Rytis SlatkevičiusJanuary 15, 2024 10:17:59 UTC 2024 年 1 月 15 日 (月) 19 時 17 分 59 秒 (日本時間)
5043e6339 / 6461Rytis SlatkevičiusJanuary 15, 2024 10:17:59 UTC 2024 年 1 月 15 日 (月) 19 時 17 分 59 秒 (日本時間)

19×10206+143

c173

name 名前Bob Backstrom
date 日付May 15, 2024 16:50:22 UTC 2024 年 5 月 16 日 (木) 1 時 50 分 22 秒 (日本時間)
composite number 合成数
29139963988298726067211481370834895571696526357349306759272842410065119096652852025091805942424592917436380332450944714708853978445462961719392073491198240404270135050848349<173>
prime factors 素因数
16141357182101150554911060128793391825596612016151<50>
105008191567168410122059215680352792144430677703122847712959<60>
17191975503730628352176182076850914378775829411930173634249111061<65>
factorization results 素因数分解の結果
Number: n
N=29139963988298726067211481370834895571696526357349306759272842410065119096652852025091805942424592917436380332450944714708853978445462961719392073491198240404270135050848349  ( 173 digits)
SNFS difficulty: 206 digits.
Divisors found:

Thu May 16 00:25:41 2024  prp50 factor: 16141357182101150554911060128793391825596612016151
Thu May 16 00:25:41 2024  prp60 factor: 105008191567168410122059215680352792144430677703122847712959
Thu May 16 00:25:41 2024  prp65 factor: 17191975503730628352176182076850914378775829411930173634249111061
Thu May 16 00:25:41 2024  elapsed time 02:15:45 (Msieve 1.44 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.022).
Factorization parameters were as follows:
#
# N = 19x10^206+14 = 63(205)8
#
n: 29139963988298726067211481370834895571696526357349306759272842410065119096652852025091805942424592917436380332450944714708853978445462961719392073491198240404270135050848349
m: 100000000000000000000000000000000000000000
deg: 5
c5: 95
c0: 7
skew: 0.59
# Murphy_E = 9.268e-12
type: snfs
lss: 1
rlim: 19700000
alim: 19700000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19700000/19700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 21050000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7742144 hash collisions in 24816783 relations (15319136 unique)
Msieve: matrix is 2064816 x 2065041 (582.8 MB)

Sieving start time: 2024/05/14 22:35:28
Sieving end time  : 2024/05/15 22:05:22

Total sieving time: 23hrs 29min 54secs.

Total relation processing time: 2hrs 2min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 51sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19700000,19700000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 8, 2024 15:41:33 UTC 2024 年 5 月 9 日 (木) 0 時 41 分 33 秒 (日本時間)
4511e64480Ignacio SantosMay 10, 2024 16:00:26 UTC 2024 年 5 月 11 日 (土) 1 時 0 分 26 秒 (日本時間)

19×10209+143

c206

composite cofactor 合成数の残り
70826809811377022291806456422873331842242600462238127190039513904421084022962797286214866174606724819205248639379706255125624394244389771117572504286885857004398717661969730858122716767315291135465593081339<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500cccMay 9, 2024 03:58:43 UTC 2024 年 5 月 9 日 (木) 12 時 58 分 43 秒 (日本時間)
4511e67500cccMay 15, 2024 13:47:04 UTC 2024 年 5 月 15 日 (水) 22 時 47 分 4 秒 (日本時間)
5043e67553cccMay 16, 2024 10:44:49 UTC 2024 年 5 月 16 日 (木) 19 時 44 分 49 秒 (日本時間)

19×10211+143

c160

composite cofactor 合成数の残り
1547221195210547882006780346666684802915063792476933966937498468199193633596490843116171266085244332582483013756290123164840140010580137461546579074864838192083<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500cccMay 9, 2024 05:45:28 UTC 2024 年 5 月 9 日 (木) 14 時 45 分 28 秒 (日本時間)
4511e65000cccMay 9, 2024 15:31:29 UTC 2024 年 5 月 10 日 (金) 0 時 31 分 29 秒 (日本時間)
5043e68000cccMay 11, 2024 14:24:40 UTC 2024 年 5 月 11 日 (土) 23 時 24 分 40 秒 (日本時間)

19×10213+143

c199

composite cofactor 合成数の残り
7604676766401672230195251326245948060791622855068563561973760867243068319695701217422106280005987868555066014284148629357056568777271261775486602044122661429109707959698020688959192988998695814582899<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500cccJune 9, 2024 01:33:38 UTC 2024 年 6 月 9 日 (日) 10 時 33 分 38 秒 (日本時間)

19×10215+143

c209

composite cofactor 合成数の残り
45954186191753855060400005553200605066676379930442776323609959636261490541927075737287753939809593908661362779614897147517242857183628526094939510504715794400583995472690322043550733881097558173525232210130789<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500cccMay 9, 2024 08:31:58 UTC 2024 年 5 月 9 日 (木) 17 時 31 分 58 秒 (日本時間)

19×10218+143

c188

composite cofactor 合成数の残り
14433551458072983222547184416014500673651261407841308109533748166246606818559770187721920400889696588865084501078227467794279653433195069338385574261515596147976857188628552255583094277503<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500cccJune 9, 2024 16:19:57 UTC 2024 年 6 月 10 日 (月) 1 時 19 分 57 秒 (日本時間)

19×10219+143

c181

composite cofactor 合成数の残り
2151663481964328736234928808392017884965662180585557479940355707701668568531863317900194427343791385991228882227808471639284215601046785237310028570735744536503699165571812859162333<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10221+143

c208

composite cofactor 合成数の残り
1935421762049681724569516420371272481336696750610410427907500774033780706549553569566656160125437847545176959631856418959292151571780101289981503811765682881109734194823976100629461522949893496323148503001691<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10224+143

c209

name 名前Bob Backstrom
date 日付February 26, 2024 16:56:29 UTC 2024 年 2 月 27 日 (火) 1 時 56 分 29 秒 (日本時間)
composite number 合成数
12139388833749570504743477718690390737208129467132065126558192165329658237822010038712028865359512061912577214640140487550079298378232629271316826708858352732575897208120989188763647266957579621533183679885949<209>
prime factors 素因数
28128896042478570290672222250736708873792419503<47>
431562931421744891356430466082386896707858803069936305346263464942344196945283721454463369265378040613900292747844401824618726557805756025256403882548923137422483<162>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 6.3.0] [ECM]
Input number is 12139388833749570504743477718690390737208129467132065126558192165329658237822010038712028865359512061912577214640140487550079298378232629271316826708858352732575897208120989188763647266957579621533183679885949 (209 digits)
Using B1=50680000, B2=288592384096, polynomial Dickson(12), sigma=156773210
Step 1 took 190443ms
Step 2 took 47883ms
********** Factor found in step 2: 28128896042478570290672222250736708873792419503
Found probable prime factor of 47 digits: 28128896042478570290672222250736708873792419503
Probable prime cofactor 431562931421744891356430466082386896707858803069936305346263464942344196945283721454463369265378040613900292747844401824618726557805756025256403882548923137422483 has 162 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10227+143

c205

composite cofactor 合成数の残り
1144058010139085267471307508566003377132902176682969109706492765995725915760170958682101352979438729164354844004306603596022867558634766382505079356965227715616696184198188708119939723192790582225144980449<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10228+143

c219

composite cofactor 合成数の残り
906190575566332630788867267426586312397959012378143457528412428164547735695174879318134486178757923590052448401790261745057855207414017004604529543093306134200630285707144278457806063020266765547282462623071073929338513<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10229+143

c147

composite cofactor 合成数の残り
289764903919413433640551499923048343752155319773149351345496626965303153762143921775964470203116832851791676312498584972249490098781872208285078273<147>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 7, 2022 09:53:36 UTC 2022 年 10 月 7 日 (金) 18 時 53 分 36 秒 (日本時間)
4511e64480Ignacio SantosOctober 9, 2022 11:05:56 UTC 2022 年 10 月 9 日 (日) 20 時 5 分 56 秒 (日本時間)
5043e66454Ignacio SantosNovember 7, 2022 15:11:07 UTC 2022 年 11 月 8 日 (火) 0 時 11 分 7 秒 (日本時間)

19×10230+143

c221

composite cofactor 合成数の残り
17643317322992502293883226418267088494158656137279229212356347916976151229839592102019211386316287647596580905837232327196324718250672692995093515339940617532905342896885168044407937900075518949287195112406173516119000423<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10232+143

c226

composite cofactor 合成数の残り
4986010566458561082487036766159620882650882321805624419359387915243488676953698698740465501294289616570014163943911264967150850280127194704080010459075638777495289663333544845149994680713990414998255683566565786551826771927123<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10233+143

c211

composite cofactor 合成数の残り
1292745215241499911925875984681286173661429659433360364674431366810108138632566513955699107674492530080650601403818797670490067874290324320324741222894684948785277083919292096264241866464988040981077574197103537<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10234+143

c196

name 名前anonymous
date 日付July 7, 2024 16:47:11 UTC 2024 年 7 月 8 日 (月) 1 時 47 分 11 秒 (日本時間)
composite number 合成数
2055288045852038885145122470801932588358754038654274345730616445793417332922069593369024349268503131204449122493980173147465474327910493676223176838750239155793521843569848005301012127091737220831<196>
prime factors 素因数
2334895285740492632887978421235146184797<40>
composite cofactor 合成数の残り
880248488402862728112461587287259259114568073083888742368401967482846576432453772272407439117824757519428033066686407038440139960013455702954922019654076523<156>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:12744222467954968674
Step 1 took 26750ms
Step 2 took 9438ms
********** Factor found in step 2: 2334895285740492632887978421235146184797
Found prime factor of 40 digits: 2334895285740492632887978421235146184797
Composite cofactor 880248488402862728112461587287259259114568073083888742368401967482846576432453772272407439117824757519428033066686407038440139960013455702954922019654076523 has 156 digits
software ソフトウェア
GMP-ECM 7.0.5

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62756Mehrshad AlipourJuly 10, 2024 02:08:20 UTC 2024 年 7 月 10 日 (水) 11 時 8 分 20 秒 (日本時間)
4511e64480Ignacio SantosJuly 11, 2024 14:46:56 UTC 2024 年 7 月 11 日 (木) 23 時 46 分 56 秒 (日本時間)

19×10237+143

c162

name 名前Lionel Debroux
date 日付October 6, 2022 00:01:48 UTC 2022 年 10 月 6 日 (木) 9 時 1 分 48 秒 (日本時間)
composite number 合成数
214622524071898703629246252016125871192364729312536907818048497215081174358496522680873815539187644114821902825302830236479883970055285227709075741759723587826837<162>
prime factors 素因数
16937078672699882305516195558799293<35>
96254276398366659732737600751766329374985451<44>
131648756033631714909899218956076074753130733343707590592756327535627351520414810859<84>
factorization results 素因数分解の結果
16937078672699882305516195558799293
96254276398366659732737600751766329374985451
software ソフトウェア
GMP-ECM 7.0.5 B1=43e6 for C162=C79*p84, YAFU for C79=p35*p44.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10238+143

c231

composite cofactor 合成数の残り
387952804373405848328086965885517161118845596854302245707278738254315371579950496160396383549695224889441311902510057502895547011146868244656939399407486624193838666690009174348754959603965036108788941329354260683710789155748827381<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10239+143

c211

composite cofactor 合成数の残り
6231114102575615805861704528406769907201300732612800136489008449639556155033011238313889175905148089674834479173119647601015549005222646295500942520568224010699269244432678681085023047041603341335784304683386507<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10240+143

c224

composite cofactor 合成数の残り
33880810572562876375171131125581849415447219475295170180686017016501217704877824227237796196842328404581246285549792424938200151371079616895973974217684883769987681189366339670726057487138503596590519361810422197708726127467<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10242+143

c191

name 名前ebina
date 日付November 17, 2022 00:37:46 UTC 2022 年 11 月 17 日 (木) 9 時 37 分 46 秒 (日本時間)
composite number 合成数
12292534049288470403748563613584645655238423121431158766707782048836717097993329067950545685390799134247009083866850559095114385235038812902913740600867384326785461929300810567626107039097699<191>
prime factors 素因数
521650891350628353214513062715960189247639<42>
composite cofactor 合成数の残り
23564675634812683549849495368079207449628836818730110510271894050240818060067841714931348626639380241583839833809822290035402456217677815621748875541<149>
factorization results 素因数分解の結果
Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:98662591 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 12292534049288470403748563613584645655238423121431158766707782048836717097993329067950545685390799134247009083866850559095114385235038812902913740600867384326785461929300810567626107039097699 (191 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:98662591
Step 1 took 5906ms
Step 2 took 4891ms
********** Factor found in step 2: 521650891350628353214513062715960189247639
Found probable prime factor of 42 digits: 521650891350628353214513062715960189247639
Composite cofactor 23564675634812683549849495368079207449628836818730110510271894050240818060067841714931348626639380241583839833809822290035402456217677815621748875541 has 149 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e643281978ebinaNovember 17, 2022 00:37:09 UTC 2022 年 11 月 17 日 (木) 9 時 37 分 9 秒 (日本時間)
2350Ignacio SantosNovember 17, 2022 15:38:58 UTC 2022 年 11 月 18 日 (金) 0 時 38 分 58 秒 (日本時間)
4511e64480Ignacio SantosNovember 19, 2022 09:50:42 UTC 2022 年 11 月 19 日 (土) 18 時 50 分 42 秒 (日本時間)
5043e66454Ignacio SantosNovember 3, 2023 11:59:08 UTC 2023 年 11 月 3 日 (金) 20 時 59 分 8 秒 (日本時間)

19×10244+143

c199

composite cofactor 合成数の残り
1364014712222347865910468625739385969691933716037817948733237873395817973055225151851670783221428356359829664142768028402777726886597415052400796261382854235918752883029534795481753772889605988428351<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10247+143

c225

composite cofactor 合成数の残り
247284212764486047594618284540855150161170600052191801215049971194025301364102563160123453708250013134089932395406332819746465490085312706850760885522839820123214607899451737301158948408291106889523457819519487809533399014367<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10251+143

c210

composite cofactor 合成数の残り
149157087338742619454434017399715793861057160947046715508556737125798544180293893540454987981527158759816945934818919961855597234909664432773454191347554308866601705890577451596372566322181780304325079308394101<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10252+143

c241

composite cofactor 合成数の残り
3207842333795892652673307915389278276514474095036872886639357413510847926438510725441403121087224340550520231315725954600931656409302019192368969717153127578394856521444710285984679007510283193357374508332028413014620843081255408073940279893<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10253+143

c218

composite cofactor 合成数の残り
18764261053950898993135527840012895429184055433945869309193456080273558257768396425003169813019370894275156932632200677306010763930855774285336897940814021719154544303743261390832071712779459699760874948121845230618781<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10254+143

c230

composite cofactor 合成数の残り
19451625899570680447910228159614607358229754816599127867609854542898159957156426754624277990831073630186030264068918329416964726165207487793213145280965157521554516674312444312713377292429187336221847897962517268437271315143851437<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10255+143

c245

composite cofactor 合成数の残り
24807087348575514468044702707013300907420829342801971727832802421355168148240987799224660792187512479437857144805448598025615850919271174055271171620646171239690585417541674018671660583342704854910710708766605113468317392543953541732275760931051<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10256+143

c213

composite cofactor 合成数の残り
493478013529636528302386291251418251541140999321530995255192660055212296566000276627746590083019467813297586015100347439949619358065869836921434851431667843671662503840250460619631899618925788772644837495648139451<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10257+143

c210

composite cofactor 合成数の残り
383498954559548902474638816351949176532026085158828225798455685609563587597920943192230966841221316079486391533402228220835128907852527728733966413752846616477956131202955887816909515545123818013868594146125877<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10259+143

c226

composite cofactor 合成数の残り
4499801683896263892346209420653649701512298553948501796993482230648174328784135841976554689233214424943320500751464285605119229721520301141325532293299496382679636679082841110339949458475779125822407533358885729132573181801961<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10260+143

c242

composite cofactor 合成数の残り
73416855426193795189456710058266469594326965908085278088689517828216998490394889913770383790462261350493685141259033597079340704474925482350964825791004857209359504908535577052332225488189923840598495936593563586896802075574113050827406226287<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10261+143

c232

composite cofactor 合成数の残り
1700024477603573571935139151581101507435510694570545542036723869976412729396452406883697471110708829077230267757591560798030429159091037838869039518759460049318505275534443812547820505943125607496780695996011306147205154046594349043<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10264+143

c158

composite cofactor 合成数の残り
24133132104160938357461274719455980981633365119709861121832369552311528411654053421517704564385949987339982257600379605926009804857306087440996493569376518141<158>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 7, 2022 10:10:06 UTC 2022 年 10 月 7 日 (金) 19 時 10 分 6 秒 (日本時間)
4511e64480Ignacio SantosOctober 10, 2022 13:22:57 UTC 2022 年 10 月 10 日 (月) 22 時 22 分 57 秒 (日本時間)
5043e66000yoyo@HomeNovember 11, 2023 06:00:19 UTC 2023 年 11 月 11 日 (土) 15 時 0 分 19 秒 (日本時間)
5511e75000 / 15328yoyo@HomeNovember 19, 2023 03:12:54 UTC 2023 年 11 月 19 日 (日) 12 時 12 分 54 秒 (日本時間)

19×10265+143

c219

composite cofactor 合成数の残り
576947882514121717505861840938714754383355012017630071726892898618310766149497554524949318333520242541349992786882108192962080474178903340909831728642290757116439670476264275612415903893511505877720431139518861475658843<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10266+143

c262

composite cofactor 合成数の残り
1223402268831702344940201384891368317487054472307967697028935395345662652619433036754867531290122765198197606510045420418970204359690569371415914274271335169724528442814958475151412128166197266532993871398529084135305715349062423134923241166069775138662988733109<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10267+143

c195

composite cofactor 合成数の残り
115031817773188398247875763183658854432392309683286608655816091030921636577646018819471732059094388985056872111675351404207520144328749218882377735572802458182181057438334576917127190372049466637<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10269+143

c239

composite cofactor 合成数の残り
18261875662332672331529774033226772885775308623298996356386422303702684830657711730022168627484032510881101456212253549983442858739238388814365346330328930332161009304681648424199192241123585345007635693519129016932670092015789066592919923<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10270+143

c238

composite cofactor 合成数の残り
1366059134677288783258276380429373251111080968622315269852352462063481398684431819762933998883411836067825335944759995630807388169148386527321267170685094015925501410948032338421972701998811695836825000981337164451496236418585996282165009<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10271+143

c181

name 名前Ignacio Santos
date 日付October 7, 2022 13:06:51 UTC 2022 年 10 月 7 日 (金) 22 時 6 分 51 秒 (日本時間)
composite number 合成数
2097044607039329247437082171595004296638863993050810188456648762939902195718276902401311590321827654570540317033902553576698471814529265362063362097120794910878807307173734086937183<181>
prime factors 素因数
25595128796473646341490168165153544012761<41>
81931394982011120876981528037141064225531062751886796532168714971182703778273466194705922911037141241024183968091843457064965704672943174903<140>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3283795370
Step 1 took 8532ms
Step 2 took 4156ms
********** Factor found in step 2: 25595128796473646341490168165153544012761
Found prime factor of 41 digits: 25595128796473646341490168165153544012761
Prime cofactor 81931394982011120876981528037141064225531062751886796532168714971182703778273466194705922911037141241024183968091843457064965704672943174903 has 140 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10272+143

c247

composite cofactor 合成数の残り
6184326111149718371084106155572014809118665202511443367508731999641957420445934037854893284403853434855575883897658207250338676313422525686997823125639797472292504101175598368890696465516373315924628288566299037911903229063374336641317732268332117<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10275+143

c251

composite cofactor 合成数の残り
44902549723946555369429668130596785518594597896688597056519721852797559632610378139471240908869338872404328134258242176328039901149070391454207490478918672437047189821860717910498020009921203781727830297443851819340089819896316614019249759561998142051<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10277+143

c238

composite cofactor 合成数の残り
1723952549146076824539620902725769438177187199373261695837984393630572122107974440617611161790326038906014873885629182457939098753005461063740848704983439599537264447509126625616774316381801018098738071850172483748627142224202542823296319<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10278+143

c238

composite cofactor 合成数の残り
2871368972859755268260121533396392932117954548253992702211607923608154544951085747482527429268044049952120718625363277798443114190590885758726648551017870104289129010221524857237444096495329646840855820645661681225306510544355356892266657<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10280+143

c256

composite cofactor 合成数の残り
3860617790503220042188157917378580233384853828316873844852761625663270225656790204447120437310696713024820868641729076525495907710973441412382726369964285491847738567104734698139163260540693992037039828885364225770908004999789430866563875689306844115795889<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10285+143

c271

composite cofactor 合成数の残り
1998252083214227050152773358712324324781932616906413031587717052444814329347349179616175565251413655837699337811178928805753482191232528970521796746509262906422136494957669867055352385122263707643201859007992159671892058172746562011051165039676811147653935424373145752101<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10287+143

c235

composite cofactor 合成数の残り
1899252817463369244950396574557007625037394574423619226088081424324494861325756924450870253526174793851952043723046623479384507568173185884273615004628186813173091417801127782118949502846686301405955187526829157459242215099515304265919<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10288+143

c253

composite cofactor 合成数の残り
3225329649170883914755086942824628884285245853307202081710244962201819255775203172219618944833815179954665141868242738737513786655171763697660366871795275539799399773164819909554827258495179496605080023735974969007139155703910879246933290292674528458133<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10289+143

c256

composite cofactor 合成数の残り
2303198502566375153727764894964726381663627534511532939102105307534310169188313377345745878220758951951123373913154726640193212201090040817836924635626787638657316582916224575182022529599054002738856599248899640017519348886654236805659445776075233963094789<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10290+143

c244

composite cofactor 合成数の残り
2545206279715215643210238625388593103483997303713671687269580264222034286875966301055582011632033095783932195916964977593514004101275516149478309939275195180051395740893209307131787466430339444593066035388503379309861096500924005865484056599989<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10291+143

c235

composite cofactor 合成数の残り
7215769644295995293348205644771808175933628856336943468125694875731179605668292893401596903631513383900496121900749578693913194009538743653778215843117801219690286428238266859631253865275870270044293429442251323565858812334126209229029<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10292+143

c287

composite cofactor 合成数の残り
33126449935996211728925214075323967962887217688547907297547701216159152018673554178657569794814769096439464551037224017443342437876573637134262198989538667110212396336005417395012690917320216653956570875434435955936939792502891590379939458797495919344417094782444655291392458118578045393<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10293+143

c247

composite cofactor 合成数の残り
1950423546168421301754220386223176981842024957869215036172520576223084455860908364417179010975875769564138852275095708722858202676727909556089897299409489103831274362366925677272245020344134764592356210432062603003398040073231407222817019603963239<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10294+143

c294

composite cofactor 合成数の残り
287878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787879<294>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10296+143

c254

composite cofactor 合成数の残り
39949119609802697020930376607224886304679837917400196621277666675644932192387749441921762595422102909074049294304074841605974913666354660653510117462860182549393291627903520143596902054805976055123205810066215701839527102467528018955837433535836758913629<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10297+143

c242

composite cofactor 合成数の残り
44372384842713969733855327562996667162859223026469982970427100193189803717347865726407372976685274156991453818405945862389049095260207973111155613912119164471469131033238602780935706195677656072154233043944271598264075019123750569078084192049<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10298+143

c284

composite cofactor 合成数の残り
17140439988111821965916770291211218350265188529182185923478194064931783669778323578799618671087506852693199141774276665599832785445990965783538411752038534191944264942059755293931776702120464788891217123825195023952903556376817752117073861831173972677275639150629540837603569332221547<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

19×10299+143

c149

composite cofactor 合成数の残り
40391021558085919970582320603592536965686410767761379979006299912065504189464966033939482027111664151198894341372298482444548794094510378802733829773<149>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 7, 2022 09:54:36 UTC 2022 年 10 月 7 日 (金) 18 時 54 分 36 秒 (日本時間)
4511e64480Ignacio SantosOctober 9, 2022 13:19:55 UTC 2022 年 10 月 9 日 (日) 22 時 19 分 55 秒 (日本時間)
5043e66454Ignacio SantosNovember 17, 2023 10:42:51 UTC 2023 年 11 月 17 日 (金) 19 時 42 分 51 秒 (日本時間)

19×10300+143

c278

composite cofactor 合成数の残り
23073059025618861376302970940399160212862175097125037499216553242361976580962109854265518745229514143641951356938555563127147727164522572141686438273325463045851378674502402825317610996971819621526375902392212526625693295131239687838829272052146476442874298429362892516335725401<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 9, 2022 11:55:04 UTC 2022 年 10 月 9 日 (日) 20 時 55 分 4 秒 (日本時間)
4511e63584Dmitry DomanovOctober 9, 2022 11:55:04 UTC 2022 年 10 月 9 日 (日) 20 時 55 分 4 秒 (日本時間)
5043e6130 / 6674Dmitry DomanovOctober 9, 2022 11:55:04 UTC 2022 年 10 月 9 日 (日) 20 時 55 分 4 秒 (日本時間)