Table of contents 目次

49×10101-229

c99

name 名前Dmitry Domanov
date 日付September 9, 2022 23:06:36 UTC 2022 年 9 月 10 日 (土) 8 時 6 分 36 秒 (日本時間)
composite number 合成数
696220517192384200056834327934072179596476271668087524865018471156578573458368854788292128445581131<99>
prime factors 素因数
104671822958535514707582147494646628219218651127<48>
6651460703690845191242333459699899976580616733298253<52>
factorization results 素因数分解の結果
N=696220517192384200056834327934072179596476271668087524865018471156578573458368854788292128445581131
  ( 99 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=104671822958535514707582147494646628219218651127 (pp48)
 r2=6651460703690845191242333459699899976580616733298253 (pp52)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.16 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 696220517192384200056834327934072179596476271668087524865018471156578573458368854788292128445581131
m: 10000000000000000000000000
deg: 4
c4: 245
c0: -11
skew: 0.46
# Murphy_E = 3.157e-07
type: snfs
lss: 1
rlim: 360000
alim: 360000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [180000, 250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 29071 x 29300
Total sieving time: 0.15 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,102.000,4,0,0,0,0,0,0,0,0,360000,360000,25,25,43,43,2.2,2.2,10000
total time: 0.16 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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10116-229

c96

name 名前Ignacio Santos
date 日付September 10, 2022 07:40:49 UTC 2022 年 9 月 10 日 (土) 16 時 40 分 49 秒 (日本時間)
composite number 合成数
125419782597002120688717600567769782949340231313356576926224491299215603833945602303378613411629<96>
prime factors 素因数
1070632822499932340208935952944876813<37>
117145467578834709905017959247634550487106892732786458153633<60>
factorization results 素因数分解の結果
prp37 = 1070632822499932340208935952944876813
prp60 = 117145467578834709905017959247634550487106892732786458153633
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10118-229

c106

name 名前Ignacio Santos
date 日付September 10, 2022 10:02:18 UTC 2022 年 9 月 10 日 (土) 19 時 2 分 18 秒 (日本時間)
composite number 合成数
9340191652153534867371544971425724204677788519187943762452771787745577935337208371004471284370091650164767<106>
prime factors 素因数
30729638336478935347827040418600848691578579271<47>
303947334162597667650053776818062067655349376541924614927977<60>
factorization results 素因数分解の結果
Number: 1
N=9340191652153534867371544971425724204677788519187943762452771787745577935337208371004471284370091650164767
  ( 106 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=30729638336478935347827040418600848691578579271 (pp47)
 r2=303947334162597667650053776818062067655349376541924614927977 (pp60)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.97 hours.
Scaled time: 7.49 units (timescale=7.758).
Factorization parameters were as follows:
n: 9340191652153534867371544971425724204677788519187943762452771787745577935337208371004471284370091650164767
m: 100000000000000000000000000000
deg: 4
c4: 2450
c0: -11
skew: 0.26
# Murphy_E = 3.352e-08
type: snfs
lss: 1
rlim: 680000
alim: 680000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 680000/680000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [340000, 640001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 76509 x 76735
Total sieving time: 0.96 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,119.000,4,0,0,0,0,0,0,0,0,680000,680000,25,25,45,45,2.2,2.2,50000
total time: 0.97 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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10120-229

c102

name 名前Ignacio Santos
date 日付September 10, 2022 10:26:42 UTC 2022 年 9 月 10 日 (土) 19 時 26 分 42 秒 (日本時間)
composite number 合成数
226461938700999643661579465454497056043664269060866167406526445350386796813594888879856989781928093271<102>
prime factors 素因数
870190702887175841064745257738865063967<39>
260244033807335974139694006502613600122035471065749202997095113<63>
factorization results 素因数分解の結果
Number: 1
N=226461938700999643661579465454497056043664269060866167406526445350386796813594888879856989781928093271
  ( 102 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=870190702887175841064745257738865063967 (pp39)
 r2=260244033807335974139694006502613600122035471065749202997095113 (pp63)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.17 hours.
Scaled time: 9.06 units (timescale=7.746).
Factorization parameters were as follows:
n: 226461938700999643661579465454497056043664269060866167406526445350386796813594888879856989781928093271
m: 1000000000000000000000000000000
deg: 4
c4: 49
c0: -22
skew: 0.82
# Murphy_E = 2.608e-08
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 96365 x 96610
Total sieving time: 1.16 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,4,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,75000
total time: 1.17 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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10121-229

c92

name 名前Ignacio Santos
date 日付September 10, 2022 07:45:07 UTC 2022 年 9 月 10 日 (土) 16 時 45 分 7 秒 (日本時間)
composite number 合成数
15128359765243368077039413009643777650979804291710455832119937265028274709354090129334384407<92>
prime factors 素因数
117010031711295030899448996389099492195987837<45>
129291134648782602766841167739456172952571768611<48>
factorization results 素因数分解の結果
prp48 = 129291134648782602766841167739456172952571768611
prp45 = 117010031711295030899448996389099492195987837
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10122-229

c117

name 名前Ignacio Santos
date 日付September 10, 2022 10:43:41 UTC 2022 年 9 月 10 日 (土) 19 時 43 分 41 秒 (日本時間)
composite number 合成数
817339336940969084222982181001631008987063019531741289748129377144056224939792115577787185520349914646420670878799919<117>
prime factors 素因数
1236824984282257698413493007743248323564219<43>
660836696644901247564721475665041889427144663630818760117050899862612630301<75>
factorization results 素因数分解の結果
Number: 1
N=817339336940969084222982181001631008987063019531741289748129377144056224939792115577787185520349914646420670878799919
  ( 117 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=1236824984282257698413493007743248323564219 (pp43)
 r2=660836696644901247564721475665041889427144663630818760117050899862612630301 (pp75)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.41 hours.
Scaled time: 11.01 units (timescale=7.782).
Factorization parameters were as follows:
n: 817339336940969084222982181001631008987063019531741289748129377144056224939792115577787185520349914646420670878799919
m: 1000000000000000000000000000000
deg: 4
c4: 2450
c0: -11
skew: 0.26
# Murphy_E = 2.166e-08
type: snfs
lss: 1
rlim: 800000
alim: 800000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [400000, 850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 93114 x 93339
Total sieving time: 1.40 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,123.000,4,0,0,0,0,0,0,0,0,800000,800000,25,25,46,46,2.2,2.2,75000
total time: 1.41 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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10126-229

c98

name 名前Ignacio Santos
date 日付September 10, 2022 07:52:07 UTC 2022 年 9 月 10 日 (土) 16 時 52 分 7 秒 (日本時間)
composite number 合成数
13992322435085284720643539040022207638486199201747944514026939428937644620554510805082270044141751<98>
prime factors 素因数
4247617518035016087502191515925151<34>
3294157813333026234686002141928440726029531139747190639039226601<64>
factorization results 素因数分解の結果
prp64 = 3294157813333026234686002141928440726029531139747190639039226601
prp34 = 4247617518035016087502191515925151
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10128-229

c123

name 名前Ignacio Santos
date 日付September 10, 2022 11:06:42 UTC 2022 年 9 月 10 日 (土) 20 時 6 分 42 秒 (日本時間)
composite number 合成数
212103417470863266969204055521229431054658704390947633917119853754260789722489948678764526162263962443324018963257541423581<123>
prime factors 素因数
8515216829658010611683767059078116766023438521453359971<55>
24908751205502983716469290518701499944661010822178775695023616190911<68>
factorization results 素因数分解の結果
Number: 1
N=212103417470863266969204055521229431054658704390947633917119853754260789722489948678764526162263962443324018963257541423581
  ( 123 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=8515216829658010611683767059078116766023438521453359971 (pp55)
 r2=24908751205502983716469290518701499944661010822178775695023616190911 (pp68)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.62 hours.
Scaled time: 20.37 units (timescale=7.788).
Factorization parameters were as follows:
n: 212103417470863266969204055521229431054658704390947633917119853754260789722489948678764526162263962443324018963257541423581
m: 100000000000000000000000000000000
deg: 4
c4: 49
c0: -22
skew: 0.82
# Murphy_E = 1.076e-08
type: snfs
lss: 1
rlim: 1020000
alim: 1020000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1020000/1020000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [510000, 1210001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 151203 x 151429
Total sieving time: 2.59 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,129.000,4,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,100000
total time: 2.62 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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10130-229

c92

name 名前Ignacio Santos
date 日付September 10, 2022 07:16:20 UTC 2022 年 9 月 10 日 (土) 16 時 16 分 20 秒 (日本時間)
composite number 合成数
20934008069821280695894439878975952922114803596284904904490241427576289650494334969610773503<92>
prime factors 素因数
6195313786710503778001041441571808800943<40>
3379006905949877826466793584677614334912140684735921<52>
factorization results 素因数分解の結果
prp52 = 3379006905949877826466793584677614334912140684735921
prp40 = 6195313786710503778001041441571808800943
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10131-229

c117

name 名前Ignacio Santos
date 日付September 10, 2022 12:01:18 UTC 2022 年 9 月 10 日 (土) 21 時 1 分 18 秒 (日本時間)
composite number 合成数
240326174255383038743952040913037676554463683386740410741871884591258659475048514275409647687617038340870245792555939<117>
prime factors 素因数
24697527206780276754401993595249154695626173<44>
9730778804017499590681473401642181533718494079600442815868452811023928543<73>
factorization results 素因数分解の結果
Number: 1
N=240326174255383038743952040913037676554463683386740410741871884591258659475048514275409647687617038340870245792555939
  ( 117 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=24697527206780276754401993595249154695626173 (pp44)
 r2=9730778804017499590681473401642181533718494079600442815868452811023928543 (pp73)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.36 hours.
Scaled time: 18.23 units (timescale=7.710).
Factorization parameters were as follows:
n: 240326174255383038743952040913037676554463683386740410741871884591258659475048514275409647687617038340870245792555939
m: 500000000000000000000000000000000
deg: 4
c4: 196
c0: -55
skew: 0.73
# Murphy_E = 9.491e-09
type: snfs
lss: 1
rlim: 1160000
alim: 1160000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1160000/1160000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [580000, 1180001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 189805 x 190053
Total sieving time: 2.33 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,133.000,4,0,0,0,0,0,0,0,0,1160000,1160000,26,26,47,47,2.3,2.3,100000
total time: 2.36 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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10132-229

c121

name 名前Ignacio Santos
date 日付September 11, 2022 08:20:36 UTC 2022 年 9 月 11 日 (日) 17 時 20 分 36 秒 (日本時間)
composite number 合成数
1302159696543594562774965763126746876733241502222280324409300096171348844014006204439051059220349688636956063559237946047<121>
prime factors 素因数
34068034043071585392280005168884515602431093341<47>
38222331670130954441130120178308330949951383603446203213666020181934264267<74>
factorization results 素因数分解の結果
Number: 1
N=1302159696543594562774965763126746876733241502222280324409300096171348844014006204439051059220349688636956063559237946047
  ( 121 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=34068034043071585392280005168884515602431093341 (pp47)
 r2=38222331670130954441130120178308330949951383603446203213666020181934264267 (pp74)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.23 hours.
Scaled time: 25.06 units (timescale=7.752).
Factorization parameters were as follows:
n: 1302159696543594562774965763126746876733241502222280324409300096171348844014006204439051059220349688636956063559237946047
m: 1000000000000000000000000000000000
deg: 4
c4: 49
c0: -22
skew: 0.82
# Murphy_E = 6.856e-09
type: snfs
lss: 1
rlim: 1180000
alim: 1180000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1180000/1180000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [590000, 1490001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 204000 x 204225
Total sieving time: 3.20 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,133.000,4,0,0,0,0,0,0,0,0,1180000,1180000,26,26,47,47,2.3,2.3,100000
total time: 3.23 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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10135-229

c131

name 名前Ignacio Santos
date 日付September 11, 2022 09:19:24 UTC 2022 年 9 月 11 日 (日) 18 時 19 分 24 秒 (日本時間)
composite number 合成数
50872198654897539239076493099030521242776666895072456545798475495173370376599619185255783338420553198823087257240982643236385457611<131>
prime factors 素因数
15936037443029988749703499826259297414445162616357801215081<59>
3192274041571590635466281319298673114353522091049925534287266985434522131<73>
factorization results 素因数分解の結果
Number: 1
N=50872198654897539239076493099030521242776666895072456545798475495173370376599619185255783338420553198823087257240982643236385457611
  ( 131 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=15936037443029988749703499826259297414445162616357801215081 (pp59)
 r2=3192274041571590635466281319298673114353522091049925534287266985434522131 (pp73)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.46 hours.
Scaled time: 26.98 units (timescale=7.806).
Factorization parameters were as follows:
n: 50872198654897539239076493099030521242776666895072456545798475495173370376599619185255783338420553198823087257240982643236385457611
m: 5000000000000000000000000000000000
deg: 4
c4: 196
c0: -55
skew: 0.73
# Murphy_E = 6.029e-09
type: snfs
lss: 1
rlim: 1350000
alim: 1350000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1350000/1350000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [675000, 1575001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 220098 x 220323
Total sieving time: 3.42 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,137.000,4,0,0,0,0,0,0,0,0,1350000,1350000,26,26,48,48,2.3,2.3,100000
total time: 3.46 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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10137-229

c124

name 名前Ignacio Santos
date 日付September 11, 2022 09:54:16 UTC 2022 年 9 月 11 日 (日) 18 時 54 分 16 秒 (日本時間)
composite number 合成数
1124920062864116296590080741812443277982697471833424158933026427736772765900981471513670422115896848452894969447907754326223<124>
prime factors 素因数
910667375696499850762032768566360597885827283562902977<54>
1235269971106355870126217432807284580139377892060685230604746517459599<70>
factorization results 素因数分解の結果
Number: 1
N=1124920062864116296590080741812443277982697471833424158933026427736772765900981471513670422115896848452894969447907754326223
  ( 124 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=910667375696499850762032768566360597885827283562902977 (pp54)
 r2=1235269971106355870126217432807284580139377892060685230604746517459599 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.26 hours.
Scaled time: 33.18 units (timescale=7.782).
Factorization parameters were as follows:
n: 1124920062864116296590080741812443277982697471833424158933026427736772765900981471513670422115896848452894969447907754326223
m: 10000000000000000000000000000000000
deg: 4
c4: 245
c0: -11
skew: 0.46
# Murphy_E = 6.272e-09
type: snfs
lss: 1
rlim: 1420000
alim: 1420000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1420000/1420000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [710000, 1110001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 170388 x 170622
Total sieving time: 4.24 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,138.000,4,0,0,0,0,0,0,0,0,1420000,1420000,26,26,48,48,2.3,2.3,100000
total time: 4.26 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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10140-229

c123

name 名前Ignacio Santos
date 日付September 11, 2022 10:49:40 UTC 2022 年 9 月 11 日 (日) 19 時 49 分 40 秒 (日本時間)
composite number 合成数
199750348345468763045968841135383850670808670370255980967395920693874027333501741265869980173789669133600521495357616757869<123>
prime factors 素因数
41150399985749949592984595917584753193241156624218999151579<59>
4854153262535496416085334370219488680945408908147550322235719511<64>
factorization results 素因数分解の結果
Number: 1
N=199750348345468763045968841135383850670808670370255980967395920693874027333501741265869980173789669133600521495357616757869
  ( 123 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=41150399985749949592984595917584753193241156624218999151579 (pp59)
 r2=4854153262535496416085334370219488680945408908147550322235719511 (pp64)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.15 hours.
Scaled time: 24.31 units (timescale=7.716).
Factorization parameters were as follows:
n: 199750348345468763045968841135383850670808670370255980967395920693874027333501741265869980173789669133600521495357616757869
m: 10000000000000000000000000000
deg: 5
c5: 49
c0: -22
skew: 0.85
# Murphy_E = 3.179e-09
type: snfs
lss: 1
rlim: 1610000
alim: 1610000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1610000/1610000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [805000, 1505001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 248822 x 249048
Total sieving time: 3.11 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1610000,1610000,26,26,48,48,2.3,2.3,100000
total time: 3.15 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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10144-229

c110

name 名前Ignacio Santos
date 日付September 12, 2022 11:19:54 UTC 2022 年 9 月 12 日 (月) 20 時 19 分 54 秒 (日本時間)
composite number 合成数
10954921436148953956131844077262957132792926684264937166588761510731531014483460175301341161907271039796736571<110>
prime factors 素因数
20316745171637985937813816886040650495327150789<47>
539206518741099180743249992994256345689692434964606164487082239<63>
factorization results 素因数分解の結果
Number: 1
N=10954921436148953956131844077262957132792926684264937166588761510731531014483460175301341161907271039796736571
  ( 110 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=20316745171637985937813816886040650495327150789 (pp47)
 r2=539206518741099180743249992994256345689692434964606164487082239 (pp63)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.33 hours.
Scaled time: 41.36 units (timescale=7.764).
Factorization parameters were as follows:
n: 10954921436148953956131844077262957132792926684264937166588761510731531014483460175301341161907271039796736571
m: 50000000000000000000000000000
deg: 5
c5: 392
c0: -55
skew: 0.68
# Murphy_E = 1.88e-09
type: snfs
lss: 1
rlim: 1910000
alim: 1910000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1910000/1910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [955000, 2155001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 291588 x 291813
Total sieving time: 5.28 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1910000,1910000,26,26,49,49,2.3,2.3,100000
total time: 5.33 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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10145-229

c131

name 名前Ignacio Santos
date 日付September 12, 2022 11:52:04 UTC 2022 年 9 月 12 日 (月) 20 時 52 分 4 秒 (日本時間)
composite number 合成数
26485370358706181390243890614325712191056396859201799808570333350109993288362183512510340595913040761781665297928472415117594987949<131>
prime factors 素因数
13937320173083501890229478198734286632813001614946793142685806339<65>
1900320149769978385765030262024353555744676782711444810555097454991<67>
factorization results 素因数分解の結果
Number: 1
N=26485370358706181390243890614325712191056396859201799808570333350109993288362183512510340595913040761781665297928472415117594987949
  ( 131 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=13937320173083501890229478198734286632813001614946793142685806339 (pp65)
 r2=1900320149769978385765030262024353555744676782711444810555097454991 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.14 hours.
Scaled time: 62.84 units (timescale=7.722).
Factorization parameters were as follows:
n: 26485370358706181390243890614325712191056396859201799808570333350109993288362183512510340595913040761781665297928472415117594987949
m: 1000000000000000000000000000000000000
deg: 4
c4: 245
c0: -11
skew: 0.46
# Murphy_E = 2.487e-09
type: snfs
lss: 1
rlim: 1930000
alim: 1930000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1930000/1930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [965000, 1765001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 251672 x 251904
Total sieving time: 8.09 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146.000,4,0,0,0,0,0,0,0,0,1930000,1930000,26,26,49,49,2.3,2.3,100000
total time: 8.14 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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10146-229

c118

name 名前Eric Jeancolas
date 日付September 14, 2022 05:05:12 UTC 2022 年 9 月 14 日 (水) 14 時 5 分 12 秒 (日本時間)
composite number 合成数
2229491598158630800149637681695513420962761229392784947298273980772324473732231345132909054726164085346784339645131731<118>
prime factors 素因数
87519021607393511748942696032035633592555873401031<50>
25474366111632648496226036783371131452179562749205791135546546839701<68>
factorization results 素因数分解の結果
2229491598158630800149637681695513420962761229392784947298273980772324473732231345132909054726164085346784339645131731=87519021607393511748942696032035633592555873401031*25474366111632648496226036783371131452179562749205791135546546839701

cado polynomial
n: 2229491598158630800149637681695513420962761229392784947298273980772324473732231345132909054726164085346784339645131731
skew: 0.54
type: snfs
c0: -11
c5: 245
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 245*x^5-11
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2000000
tasks.lim1 = 2000000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 25474366111632648496226036783371131452179562749205791135546546839701 87519021607393511748942696032035633592555873401031
Info:Square Root: Total cpu/real time for sqrt: 42.72/26.2911
Info:Square Root: Total cpu/real time for sqrt: 42.72/26.2911
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6099591
Info:Lattice Sieving: Average J: 1892.34 for 105925 special-q, max bucket fill -bkmult 1.0,1s:1.212860
Info:Lattice Sieving: Total time: 16208.4s
Info:Generate Free Relations: Total cpu/real time for freerel: 30.61/18.0456
Info:Linear Algebra: Total cpu/real time for bwc: 824.44/732.94
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 445.28, WCT time 387.23, iteration CPU time 0.02, COMM 0.02, cpu-wait 0.01, comm-wait 0.0 (7296 iterations)
Info:Linear Algebra: Lingen CPU time 116.52, WCT time 114.85
Info:Linear Algebra: Mksol: CPU time 242.25,  WCT time 213.32, iteration CPU time 0.03, COMM 0.02, cpu-wait 0.01, comm-wait 0.0 (3712 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.18/63.0425
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 54.0s
Info:Quadratic Characters: Total cpu/real time for characters: 7.48/4.93631
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 31.09/62.3776
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 62.2s
Info:Generate Factor Base: Total cpu/real time for makefb: 0.9/0.845636
Info:Filtering - Singleton removal: Total cpu/real time for purge: 38.74/43.9861
Info:Filtering - Merging: Merged matrix has 230124 rows and total weight 39267178 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 47.69/26.9648
Info:Filtering - Merging: Total cpu/real time for replay: 7.5/7.64418
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 19522.2/9303.73
Info:root: Cleaning up computation data in /tmp/cado.s7ktpzij
25474366111632648496226036783371131452179562749205791135546546839701 87519021607393511748942696032035633592555873401031
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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10147-229

c96

name 名前ebina
date 日付September 10, 2022 06:11:10 UTC 2022 年 9 月 10 日 (土) 15 時 11 分 10 秒 (日本時間)
composite number 合成数
993189255238058382638017710615770872808114016244104142820757914443059868516962741965017606189903<96>
prime factors 素因数
1092266390720035972624731466104813850173481<43>
909292150409695683044626927509397142378615521107412663<54>
factorization results 素因数分解の結果
Sat Sep 10 10:05:11 2022  Msieve v. 1.53 (SVN unknown)
Sat Sep 10 10:05:11 2022  random seeds: 215aeaa4 5d9189d0
Sat Sep 10 10:05:11 2022  factoring 993189255238058382638017710615770872808114016244104142820757914443059868516962741965017606189903 (96 digits)
Sat Sep 10 10:05:11 2022  searching for 15-digit factors
Sat Sep 10 10:05:11 2022  commencing number field sieve (96-digit input)
Sat Sep 10 10:05:11 2022  R0: -8722045069804953504916
Sat Sep 10 10:05:11 2022  R1: 1
Sat Sep 10 10:05:11 2022  A0: -623057447598237243534285
Sat Sep 10 10:05:11 2022  A1: -2324129839250826221
Sat Sep 10 10:05:11 2022  A2: 737920675766774066
Sat Sep 10 10:05:11 2022  A3: 489525822280
Sat Sep 10 10:05:11 2022  A4: 171616368
Sat Sep 10 10:05:11 2022  skew 1635.25, size 5.342e-14, alpha -4.483, combined = 7.145e-09 rroots = 2
Sat Sep 10 10:05:11 2022  
Sat Sep 10 10:05:11 2022  commencing square root phase
Sat Sep 10 10:05:11 2022  reading relations for dependency 1
Sat Sep 10 10:05:12 2022  read 93310 cycles
Sat Sep 10 10:05:12 2022  cycles contain 310896 unique relations
Sat Sep 10 10:05:14 2022  read 310896 relations
Sat Sep 10 10:05:15 2022  multiplying 310896 relations
Sat Sep 10 10:05:22 2022  multiply complete, coefficients have about 17.50 million bits
Sat Sep 10 10:05:22 2022  initial square root is modulo 106753
Sat Sep 10 10:05:32 2022  GCD is 1, no factor found
Sat Sep 10 10:05:32 2022  reading relations for dependency 2
Sat Sep 10 10:05:32 2022  read 93574 cycles
Sat Sep 10 10:05:32 2022  cycles contain 311964 unique relations
Sat Sep 10 10:05:35 2022  read 311964 relations
Sat Sep 10 10:05:36 2022  multiplying 311964 relations
Sat Sep 10 10:05:42 2022  multiply complete, coefficients have about 17.57 million bits
Sat Sep 10 10:05:42 2022  initial square root is modulo 111373
Sat Sep 10 10:05:53 2022  sqrtTime: 42
Sat Sep 10 10:05:53 2022  p43 factor: 1092266390720035972624731466104813850173481
Sat Sep 10 10:05:53 2022  p54 factor: 909292150409695683044626927509397142378615521107412663
Sat Sep 10 10:05:53 2022  elapsed time 00:00:42

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10148-229

c112

name 名前Norman Powell
date 日付September 13, 2022 17:36:05 UTC 2022 年 9 月 14 日 (水) 2 時 36 分 5 秒 (日本時間)
composite number 合成数
7606583125397178043916007200909887715075629073579526499739999674309403498398585796573105285283396818170711930081<112>
prime factors 素因数
156781274828164666197643261204435373135354636239684529<54>
48517165928993379129420358960593307490052085601308672983089<59>
factorization results 素因数分解の結果
nfs: commencing nfs on c112: 7606....0081
nfs: commencing poly selection with 6 threads
nfs: setting deadline of 833 seconds
nfs: expecting degree 5 poly E from 7.56e-10 to > 8.70e-10
nfs: searching for avg quality poly E > 7.84e-10
nfs: completed 49 ranges of size 250 in 404.4750 seconds
nfs: best poly = # norm 1.306515e-10 alpha -7.017268 e 7.920e-10 rroots 5
nfs: commencing lattice sieving with 6 threads
nfs: commencing msieve linear algebra
nfs: commencing msieve sqrt
prp54 = 156781274828164666197643261204435373135354636239684529
prp59 = 48517165928993379129420358960593307490052085601308672983089
NFS elapsed time = 6025.3777 seconds, (1.67 hours).
software ソフトウェア
YAFU v2.09.
execution environment 実行環境
Windows 10 Professional v21H1. Intel i7-7700. 16 GB RAM.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10149-229

c149

name 名前Bob Backstrom
date 日付September 12, 2022 01:48:23 UTC 2022 年 9 月 12 日 (月) 10 時 48 分 23 秒 (日本時間)
composite number 合成数
16013071895424836601307189542483660130718954248366013071895424836601307189542483660130718954248366013071895424836601307189542483660130718954248366013<149>
prime factors 素因数
353730785835757789477459097961041423009303944356909518070954634266329987<72>
45269093153966905581312725076689558963020719448428968512006051625867240407999<77>
factorization results 素因数分解の結果
Number: n
N=16013071895424836601307189542483660130718954248366013071895424836601307189542483660130718954248366013071895424836601307189542483660130718954248366013  ( 149 digits)
SNFS difficulty: 150 digits.
Divisors found:

Mon Sep 12 11:41:20 2022  p72 factor: 353730785835757789477459097961041423009303944356909518070954634266329987
Mon Sep 12 11:41:20 2022  p77 factor: 45269093153966905581312725076689558963020719448428968512006051625867240407999
Mon Sep 12 11:41:20 2022  elapsed time 00:04:16 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 49x10^149-22 = 54(148)2
#
n: 16013071895424836601307189542483660130718954248366013071895424836601307189542483660130718954248366013071895424836601307189542483660130718954248366013
m: 10000000000000000000000000000000000000
deg: 4
c4: 245
c0: -11
skew: 0.46
# Murphy_E = 1.556e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1453632 hash collisions in 12533577 relations (12297675 unique)
Msieve: matrix is 278414 x 278645 (93.2 MB)

Sieving start time : 2022/09/12 10:53:22
Sieving end time  : 2022/09/12 11:36:25

Total sieving time: 0hrs 43min 3secs.

Total relation processing time: 0hrs 1min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 19sec.

Prototype def-par.txt line would be:
snfs,150,4,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10153-229

c108

name 名前Eric Jeancolas
date 日付September 14, 2022 13:55:06 UTC 2022 年 9 月 14 日 (水) 22 時 55 分 6 秒 (日本時間)
composite number 合成数
241435568369847376905935166596927688749367416409991186685350719964459094172329667775920069549780078976439221<108>
prime factors 素因数
1067983845366217156607983040527082916203115497<46>
226066685762515329098631075637898152772123044136055510513434093<63>
factorization results 素因数分解の結果
241435568369847376905935166596927688749367416409991186685350719964459094172329667775920069549780078976439221=1067983845366217156607983040527082916203115497*226066685762515329098631075637898152772123044136055510513434093

cado polynomial
n: 241435568369847376905935166596927688749367416409991186685350719964459094172329667775920069549780078976439221
skew: 0.46
type: snfs
c0: -11
c4: 245
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 245*x^4-11
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2600000
tasks.lim1 = 2600000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 226066685762515329098631075637898152772123044136055510513434093 1067983845366217156607983040527082916203115497
Info:Square Root: Total cpu/real time for sqrt: 56.2/33.6024
Info:Generate Factor Base: Total cpu/real time for makefb: 1.32/1.30918
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11628430
Info:Lattice Sieving: Average J: 1896.51 for 353676 special-q, max bucket fill -bkmult 1.0,1s:1.302730
Info:Lattice Sieving: Total time: 55345s
Info:Linear Algebra: Total cpu/real time for bwc: 1654.18/1372.34
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 941.49, WCT time 773.9, iteration CPU time 0.04, COMM 0.03, cpu-wait 0.0, comm-wait 0.0 (10624 iterations)
Info:Linear Algebra: Lingen CPU time 158.38, WCT time 146.94
Info:Linear Algebra: Mksol: CPU time 523.68,  WCT time 427.03, iteration CPU time 0.04, COMM 0.03, cpu-wait 0.0, comm-wait 0.0 (5376 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.77/131.239
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 120.0s
Info:Quadratic Characters: Total cpu/real time for characters: 10.76/7.06536
Info:Generate Free Relations: Total cpu/real time for freerel: 73.19/38.137
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.63/72.1924
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 72.0s
Info:Square Root: Total cpu/real time for sqrt: 56.2/33.6024
Info:Filtering - Singleton removal: Total cpu/real time for purge: 78.25/83.9471
Info:Filtering - Merging: Merged matrix has 339152 rows and total weight 57742889 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 68.5/38.6257
Info:Filtering - Merging: Total cpu/real time for replay: 11.35/11.8833
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 66330.2/29656.6
Info:root: Cleaning up computation data in /tmp/cado.leaso48_
226066685762515329098631075637898152772123044136055510513434093 1067983845366217156607983040527082916203115497
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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10157-229

c121

name 名前Ignacio Santos
date 日付September 16, 2022 15:24:25 UTC 2022 年 9 月 17 日 (土) 0 時 24 分 25 秒 (日本時間)
composite number 合成数
2227918651045021340467756290228929669309613585642335774559392419842442682900041258862377957158944635809369876940568492797<121>
prime factors 素因数
134169647968821073084089024720491592630763835840483914457<57>
16605235869462479144785341966510862156019296187543467559430695621<65>
factorization results 素因数分解の結果
Number: 1
N=2227918651045021340467756290228929669309613585642335774559392419842442682900041258862377957158944635809369876940568492797
  ( 121 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=134169647968821073084089024720491592630763835840483914457 (pp57)
 r2=16605235869462479144785341966510862156019296187543467559430695621 (pp65)
Version: Msieve v. 1.52 (SVN 927)
Total time: 22.31 hours.
Scaled time: 172.79 units (timescale=7.746).
Factorization parameters were as follows:
n: 2227918651045021340467756290228929669309613585642335774559392419842442682900041258862377957158944635809369876940568492797
m: 1000000000000000000000000000000000000000
deg: 4
c4: 245
c0: -11
skew: 0.46
# Murphy_E = 6.01e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 3550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 626859 x 627107
Total sieving time: 22.18 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,158.000,4,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 22.31 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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10160-229

c130

name 名前Ignacio Santos
date 日付September 17, 2022 11:14:38 UTC 2022 年 9 月 17 日 (土) 20 時 14 分 38 秒 (日本時間)
composite number 合成数
1811042836476614075492736174222366253318542381610129312971928815877779798199096046716002041137681736783838597529473330226843415179<130>
prime factors 素因数
60676993159716694303550952958284915203678642257703284519<56>
29847273936424406337909582408116244109838136060398832198447691434209542141<74>
factorization results 素因数分解の結果
Number: 1
N=1811042836476614075492736174222366253318542381610129312971928815877779798199096046716002041137681736783838597529473330226843415179
  ( 130 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=60676993159716694303550952958284915203678642257703284519 (pp56)
 r2=29847273936424406337909582408116244109838136060398832198447691434209542141 (pp74)
Version: Msieve v. 1.52 (SVN 927)
Total time: 15.77 hours.
Scaled time: 122.78 units (timescale=7.788).
Factorization parameters were as follows:
n: 1811042836476614075492736174222366253318542381610129312971928815877779798199096046716002041137681736783838597529473330226843415179
m: 100000000000000000000000000000000
deg: 5
c5: 49
c0: -22
skew: 0.85
# Murphy_E = 5.52e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 2950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 638914 x 639140
Total sieving time: 15.63 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 15.77 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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10161-229

c98

name 名前Ignacio Santos
date 日付September 10, 2022 07:33:40 UTC 2022 年 9 月 10 日 (土) 16 時 33 分 40 秒 (日本時間)
composite number 合成数
98668067955907265837691884375519551731770288161878425274062333745050148123500009840293270226804879<98>
prime factors 素因数
31702157265967478973150257341806495176346872479<47>
3112345545702917544499363216378360867743357141955601<52>
factorization results 素因数分解の結果
 prp52 = 3112345545702917544499363216378360867743357141955601
prp47 = 31702157265967478973150257341806495176346872479
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10163-229

c154

name 名前Bob Backstrom
date 日付September 11, 2022 22:20:40 UTC 2022 年 9 月 12 日 (月) 7 時 20 分 40 秒 (日本時間)
composite number 合成数
3548346769712708817369987443847203994442712591250112330936983107750317959681639256835869438853411113753793782675191738015987478101727133213873442545444261<154>
prime factors 素因数
81587140268621699425326141611232752341<38>
208233719877997298045261304712649857049261830634222201<54>
208859044742938706935362502480276690991820133709782920566824921<63>
factorization results 素因数分解の結果
Number: n
N=3548346769712708817369987443847203994442712591250112330936983107750317959681639256835869438853411113753793782675191738015987478101727133213873442545444261  ( 154 digits)
SNFS difficulty: 164 digits.
Divisors found:

Mon Sep 12 08:14:49 2022  found factor: 208859044742938706935362502480276690991820133709782920566824921
Mon Sep 12 08:15:28 2022  p38 factor: 81587140268621699425326141611232752341
Mon Sep 12 08:15:28 2022  p54 factor: 208233719877997298045261304712649857049261830634222201
Mon Sep 12 08:15:28 2022  p63 factor: 208859044742938706935362502480276690991820133709782920566824921
Mon Sep 12 08:15:28 2022  elapsed time 00:09:22 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 49x10^163-22 = 54(162)2
#
n: 3548346769712708817369987443847203994442712591250112330936983107750317959681639256835869438853411113753793782675191738015987478101727133213873442545444261
m: 100000000000000000000000000000000
deg: 5
c5: 24500
c0: -11
skew: 0.21
# Murphy_E = 2.957e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1588287 hash collisions in 13362390 relations (12536530 unique)
Msieve: matrix is 541999 x 542225 (186.9 MB)

Sieving start time : 2022/09/12 07:27:12
Sieving end time  : 2022/09/12 08:05:49

Total sieving time: 0hrs 38min 37secs.

Total relation processing time: 0hrs 4min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 57sec.

Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10165-229

c160

name 名前Bob Backstrom
date 日付September 11, 2022 09:17:41 UTC 2022 年 9 月 11 日 (日) 18 時 17 分 41 秒 (日本時間)
composite number 合成数
7521052038619527782305758086742595524267979074898319981163601914706358174600762603978544433914971590377105549216383123004810710469273739586796470815401763855543<160>
prime factors 素因数
1056835952941112733903384910775427913358722930183<49>
7116574732046992928379544432972423788768838487497599439716627472559461890406843833564736419614378249213712979921<112>
factorization results 素因数分解の結果
Number: n
N=7521052038619527782305758086742595524267979074898319981163601914706358174600762603978544433914971590377105549216383123004810710469273739586796470815401763855543  ( 160 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sun Sep 11 19:13:50 2022  p49 factor: 1056835952941112733903384910775427913358722930183
Sun Sep 11 19:13:50 2022  p112 factor: 7116574732046992928379544432972423788768838487497599439716627472559461890406843833564736419614378249213712979921
Sun Sep 11 19:13:50 2022  elapsed time 00:07:39 (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 = 49x10^165-22 = 54(164)2
#
n: 7521052038619527782305758086742595524267979074898319981163601914706358174600762603978544433914971590377105549216383123004810710469273739586796470815401763855543
m: 1000000000000000000000000000000000
deg: 5
c5: 49
c0: -22
skew: 0.85
# Murphy_E = 3.519e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1493102 hash collisions in 13997407 relations (13360255 unique)
Msieve: matrix is 506077 x 506303 (173.3 MB)

Sieving start time : 2022/09/11 18:28:09
Sieving end time  : 2022/09/11 19:05:53

Total sieving time: 0hrs 37min 44secs.

Total relation processing time: 0hrs 3min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 28sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10167-229

c153

name 名前Bob Backstrom
date 日付September 14, 2022 06:33:53 UTC 2022 年 9 月 14 日 (水) 15 時 33 分 53 秒 (日本時間)
composite number 合成数
704687101851500214361424764434991309829612314227721945440622150333534115813876526898168594880552492754916739085204470928435213488992269473804154155158847<153>
prime factors 素因数
29714386456808810635228572614116499265238708930012354239937737599869<68>
23715350908415841811131368319302978013114948118511305048825236646999167143517795065963<86>
factorization results 素因数分解の結果
Number: n
N=704687101851500214361424764434991309829612314227721945440622150333534115813876526898168594880552492754916739085204470928435213488992269473804154155158847  ( 153 digits)
SNFS difficulty: 168 digits.
Divisors found:

Wed Sep 14 13:43:47 2022  p68 factor: 29714386456808810635228572614116499265238708930012354239937737599869
Wed Sep 14 13:43:47 2022  p86 factor: 23715350908415841811131368319302978013114948118511305048825236646999167143517795065963
Wed Sep 14 13:43:47 2022  elapsed time 00:09:52 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.357).
Factorization parameters were as follows:
#
# N = 49x10^167-22 = 54(166)2
#
n: 704687101851500214361424764434991309829612314227721945440622150333534115813876526898168594880552492754916739085204470928435213488992269473804154155158847
m: 1000000000000000000000000000000000
deg: 5
c5: 2450
c0: -11
skew: 0.34
# Murphy_E = 2.361e-10
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1460834 hash collisions in 13403415 relations (12743332 unique)
Msieve: matrix is 636256 x 636481 (221.0 MB)

Sieving start time : 2022/09/14 12:51:49
Sieving end time  : 2022/09/14 13:33:12

Total sieving time: 0hrs 41min 23secs.

Total relation processing time: 0hrs 5min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 41sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10168-229

c154

name 名前Bob Backstrom
date 日付September 14, 2022 01:50:15 UTC 2022 年 9 月 14 日 (水) 10 時 50 分 15 秒 (日本時間)
composite number 合成数
2122193464372893734164071487893882818801327393919493998024829581348663749034911145442649581984644874118203616068024563128633868181579258567642499094217001<154>
prime factors 素因数
4476049175756275515929590110978733048883434553<46>
474122017217187266710394257969395779235786225795432022339316403278815458700789811918204031221661472341423217<108>
factorization results 素因数分解の結果
Number: n
N=2122193464372893734164071487893882818801327393919493998024829581348663749034911145442649581984644874118203616068024563128633868181579258567642499094217001  ( 154 digits)
SNFS difficulty: 169 digits.
Divisors found:

Wed Sep 14 11:41:44 2022  p46 factor: 4476049175756275515929590110978733048883434553
Wed Sep 14 11:41:44 2022  p108 factor: 474122017217187266710394257969395779235786225795432022339316403278815458700789811918204031221661472341423217
Wed Sep 14 11:41:44 2022  elapsed time 00:19:11 (Msieve 1.54 - dependency 9)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.353).
Factorization parameters were as follows:
#
# N = 49x10^168-22 = 54(167)2
#
n: 2122193464372893734164071487893882818801327393919493998024829581348663749034911145442649581984644874118203616068024563128633868181579258567642499094217001
m: 1000000000000000000000000000000000
deg: 5
c5: 24500
c0: -11
skew: 0.21
# Murphy_E = 1.883e-10
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1638680 hash collisions in 13262922 relations (12363445 unique)
Msieve: matrix is 717133 x 717358 (248.2 MB)

Sieving start time : 2022/09/14 10:35:01
Sieving end time  : 2022/09/14 11:22:16

Total sieving time: 0hrs 47min 15secs.

Total relation processing time: 0hrs 7min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 30sec.

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10171-229

c163

name 名前Bob Backstrom
date 日付September 12, 2022 17:42:18 UTC 2022 年 9 月 13 日 (火) 2 時 42 分 18 秒 (日本時間)
composite number 合成数
2866070618991082102999727786812679361982157145405240070533464493287975479950252720859718044589432710195078629921555767650162554710879739851248003293558270833191631<163>
prime factors 素因数
104064291436769691349838829582088566167<39>
27541345637591064446014901128717112534253491725743239604004558185984657007693008343590976871679088924799837343717389376064393<125>
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 2866070618991082102999727786812679361982157145405240070533464493287975479950252720859718044589432710195078629921555767650162554710879739851248003293558270833191631 (163 digits)
Using B1=15100000, B2=46847553490, polynomial Dickson(12), sigma=1:1696075257
Step 1 took 35075ms
Step 2 took 13528ms
********** Factor found in step 2: 104064291436769691349838829582088566167
Found prime factor of 39 digits: 104064291436769691349838829582088566167
Prime cofactor 27541345637591064446014901128717112534253491725743239604004558185984657007693008343590976871679088924799837343717389376064393 has 125 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10174-229

c107

name 名前Ignacio Santos
date 日付September 10, 2022 09:41:39 UTC 2022 年 9 月 10 日 (土) 18 時 41 分 39 秒 (日本時間)
composite number 合成数
21891629041691919347682146764480850447050780826343388423065273865939523358937497975768083159977146296537969<107>
prime factors 素因数
1762965781075680784516213429082179235153<40>
12417500825418546875064810646551679362169718693656317970120235760673<68>
factorization results 素因数分解の結果
Number: 1
N=21891629041691919347682146764480850447050780826343388423065273865939523358937497975768083159977146296537969
  ( 107 digits)
Divisors found:
 r1=1762965781075680784516213429082179235153 (pp40)
 r2=12417500825418546875064810646551679362169718693656317970120235760673 (pp68)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.94 hours.
Scaled time: 61.82 units (timescale=7.788).
Factorization parameters were as follows:
name: 1
n: 21891629041691919347682146764480850447050780826343388423065273865939523358937497975768083159977146296537969
skew: 13817.20
# norm 3.78e+014
c5: 67500
c4: 1554394880
c3: -33854420705181
c2: -262441645324542588
c1: 3752268055418760266768
c0: 715122754454977307160840
# alpha -5.68
Y1: 158492183201
Y0: -200536430669666956451
# Murphy_E 1.53e-009
# M 5599503100589935902233924308426651583215061926179389527573141719946391194062358305950817739825545815759517
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 298471 x 298698
Polynomial selection time: 0.95 hours.
Total sieving time: 6.93 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:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10175-229

c110

name 名前Eric Jeancolas
date 日付September 10, 2022 12:13:53 UTC 2022 年 9 月 10 日 (土) 21 時 13 分 53 秒 (日本時間)
composite number 合成数
54767711233627514170906191887268638856245863227842569323453657503232157346405890958604737636927987057283629647<110>
prime factors 素因数
3861376803332080756624605198619236028734871<43>
14183467199152140773828406684257339059797265854834318683795456002057<68>
factorization results 素因数分解の結果
54767711233627514170906191887268638856245863227842569323453657503232157346405890958604737636927987057283629647=3861376803332080756624605198619236028734871*14183467199152140773828406684257339059797265854834318683795456002057

cado polynomial
n: 54767711233627514170906191887268638856245863227842569323453657503232157346405890958604737636927987057283629647
skew: 5216.254
c0: -681780276230343260786445
c1: -39171061580190578366
c2: 132464316080312788
c3: 18273955388215
c4: -2362231530
c5: 113400
Y0: -1200509858442667797168
Y1: 32008444568991103
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.572e-06
# f(x) = 113400*x^5-2362231530*x^4+18273955388215*x^3+132464316080312788*x^2-39171061580190578366*x-681780276230343260786445
# g(x) = 32008444568991103*x-1200509858442667797168

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: 14183467199152140773828406684257339059797265854834318683795456002057 3861376803332080756624605198619236028734871
Info:Square Root: Total cpu/real time for sqrt: 89.16/26.6688
Info:Filtering - Singleton removal: Total cpu/real time for purge: 71.03/79.8491
Info:Filtering - Merging: Merged matrix has 292673 rows and total weight 45382509 (155.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 44.11/13.0765
Info:Filtering - Merging: Total cpu/real time for replay: 9.67/7.80783
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5333194
Info:Lattice Sieving: Average J: 1894.28 for 94230 special-q, max bucket fill -bkmult 1.0,1s:1.315490
Info:Lattice Sieving: Total time: 8912.14s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 228.69
Info:Polynomial Selection (root optimized): Rootsieve time: 227.64
Info:Linear Algebra: Total cpu/real time for bwc: 1093.43/283.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 659.59, WCT time 168.77, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9216 iterations)
Info:Linear Algebra: Lingen CPU time 45.42, WCT time 11.54
Info:Linear Algebra: Mksol: CPU time 364.92,  WCT time 93.42, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4608 iterations)
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): 11772/32.560/38.999/46.340/1.086
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9191/30.930/34.535/39.410/0.877
Info:Polynomial Selection (size optimized): Total time: 716.15
Info:Generate Free Relations: Total cpu/real time for freerel: 63.14/16.6559
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 91.01/99.4282
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.8s
Info:Square Root: Total cpu/real time for sqrt: 89.16/26.6688
Info:Generate Factor Base: Total cpu/real time for makefb: 2.24/0.642673
Info:Quadratic Characters: Total cpu/real time for characters: 10.9/4.24845
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.53/20.6989
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.7s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 18594.8/5213.88
Info:root: Cleaning up computation data in /tmp/cado.j2wliy81
14183467199152140773828406684257339059797265854834318683795456002057 3861376803332080756624605198619236028734871
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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10178-229

c163

name 名前Bob Backstrom
date 日付September 12, 2022 19:09:01 UTC 2022 年 9 月 13 日 (火) 4 時 9 分 1 秒 (日本時間)
composite number 合成数
1033330352304641377907764090529096915556161169608991210652749979242587052900113532336505144396886775041882804124763822630134499169969206118471614222921362087410291<163>
prime factors 素因数
112563556637662028582174400804271453<36>
9179972481065910029554675057115959840480809967950731138248239888100022860970701876916642704608136425355200046140172529698284047<127>
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 1033330352304641377907764090529096915556161169608991210652749979242587052900113532336505144396886775041882804124763822630134499169969206118471614222921362087410291 (163 digits)
Using B1=15980000, B2=58558467250, polynomial Dickson(12), sigma=1:3396759339
Step 1 took 37059ms
Step 2 took 15876ms
********** Factor found in step 2: 112563556637662028582174400804271453
Found prime factor of 36 digits: 112563556637662028582174400804271453
Prime cofactor 9179972481065910029554675057115959840480809967950731138248239888100022860970701876916642704608136425355200046140172529698284047 has 127 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10179-229

c150

name 名前Bob Backstrom
date 日付October 2, 2022 10:57:23 UTC 2022 年 10 月 2 日 (日) 19 時 57 分 23 秒 (日本時間)
composite number 合成数
206664132466438082473094630504250322867319471622989788679839899229232237934415513428910577649529997926844598668138427144786596330006838305962551695821<150>
prime factors 素因数
8609162207866619749700492645645992152287428859<46>
24005138650727103813770190013463311987929277259663348229050467578674140592679686866721178792801417602519<104>
factorization results 素因数分解の結果
Number: n
N=206664132466438082473094630504250322867319471622989788679839899229232237934415513428910577649529997926844598668138427144786596330006838305962551695821  ( 150 digits)
SNFS difficulty: 181 digits.
Divisors found:

Sun Oct  2 21:53:36 2022  p46 factor: 8609162207866619749700492645645992152287428859
Sun Oct  2 21:53:36 2022  p104 factor: 24005138650727103813770190013463311987929277259663348229050467578674140592679686866721178792801417602519
Sun Oct  2 21:53:36 2022  elapsed time 00:15:49 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 49x10^179-22 = 54(178)2
#
n: 206664132466438082473094630504250322867319471622989788679839899229232237934415513428910577649529997926844598668138427144786596330006838305962551695821
m: 500000000000000000000000000000000000
deg: 5
c5: 392
c0: -55
skew: 0.68
# Murphy_E = 8.124e-11
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1333514 hash collisions in 12529771 relations (11944875 unique)
Msieve: matrix is 871115 x 871342 (304.2 MB)

Sieving start time : 2022/10/02 19:24:13
Sieving end time  : 2022/10/02 21:37:30

Total sieving time: 2hrs 13min 17secs.

Total relation processing time: 0hrs 11min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 7sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.5,2.5,100000
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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 18, 2022 15:14:53 UTC 2022 年 9 月 19 日 (月) 0 時 14 分 53 秒 (日本時間)

49×10180-229

c151

name 名前Bob Backstrom
date 日付October 3, 2022 14:47:16 UTC 2022 年 10 月 3 日 (月) 23 時 47 分 16 秒 (日本時間)
composite number 合成数
1925857458042648389301798506045930931031868700020775201327657031751308867113275658749625331400722960716519921973438243992679892378752721518397492868739<151>
prime factors 素因数
20489447127519395771509492877407542607772790381463<50>
93992651244163021856271181060924233697482493661527029305028947918177941168613071308405363989942782453<101>
factorization results 素因数分解の結果
Number: n
N=1925857458042648389301798506045930931031868700020775201327657031751308867113275658749625331400722960716519921973438243992679892378752721518397492868739  ( 151 digits)
SNFS difficulty: 181 digits.
Divisors found:

Tue Oct  4 01:42:46 2022  p50 factor: 20489447127519395771509492877407542607772790381463
Tue Oct  4 01:42:46 2022  p101 factor: 93992651244163021856271181060924233697482493661527029305028947918177941168613071308405363989942782453
Tue Oct  4 01:42:46 2022  elapsed time 00:14:19 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 49x10^180-22 = 54(179)2
#
n: 1925857458042648389301798506045930931031868700020775201327657031751308867113275658749625331400722960716519921973438243992679892378752721518397492868739
m: 1000000000000000000000000000000000000
deg: 5
c5: 49
c0: -22
skew: 0.85
# Murphy_E = 8.863e-11
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 8350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1445572 hash collisions in 12581673 relations (11862817 unique)
Msieve: matrix is 762315 x 762540 (263.9 MB)

Sieving start time : 2022/10/03 23:13:25
Sieving end time  : 2022/10/04 01:28:10

Total sieving time: 2hrs 14min 45secs.

Total relation processing time: 0hrs 8min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 23sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,51,51,2.5,2.5,100000
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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 18, 2022 14:34:06 UTC 2022 年 9 月 18 日 (日) 23 時 34 分 6 秒 (日本時間)

49×10181-229

c150

name 名前Eric Jeancolas
date 日付October 5, 2022 21:15:09 UTC 2022 年 10 月 6 日 (木) 6 時 15 分 9 秒 (日本時間)
composite number 合成数
368418010009919349039073543689464698605659993637686657031553790537436711376540086386524921663759012789536975907589066760268107179980930812401753021621<150>
prime factors 素因数
15842049385416131822254160632744448969755998948910649560127<59>
23255703921051872834355704747533196006612112054022983820934655673184721776983649628854938123<92>
factorization results 素因数分解の結果
368418010009919349039073543689464698605659993637686657031553790537436711376540086386524921663759012789536975907589066760268107179980930812401753021621=15842049385416131822254160632744448969755998948910649560127*23255703921051872834355704747533196006612112054022983820934655673184721776983649628854938123

cado polynomial
n: 368418010009919349039073543689464698605659993637686657031553790537436711376540086386524921663759012789536975907589066760268107179980930812401753021621
skew: 0.54
type: snfs
c0: -11
c5: 245
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 245*x^5-11
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7700000
tasks.lim1 = 7700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
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: 15842049385416131822254160632744448969755998948910649560127 23255703921051872834355704747533196006612112054022983820934655673184721776983649628854938123
Info:Square Root: Total cpu/real time for sqrt: 470.76/84.8627
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.16/1.06717
Info:Generate Free Relations: Total cpu/real time for freerel: 115.82/14.8396
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22422421
Info:Lattice Sieving: Average J: 1894.14 for 1226707 special-q, max bucket fill -bkmult 1.0,1s:1.139370
Info:Lattice Sieving: Total time: 529470s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 62.81/162.516
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 162.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 303.17/284.271
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 271.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 163.44/197.093
Info:Filtering - Merging: Merged matrix has 1281188 rows and total weight 218215519 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 353.55/133.271
Info:Filtering - Merging: Total cpu/real time for replay: 66.37/56.1992
Info:Linear Algebra: Total cpu/real time for bwc: 21475.1/5684.32
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 3600.99, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40192 iterations)
Info:Linear Algebra: Lingen CPU time 164.59, WCT time 44.59
Info:Linear Algebra: Mksol: WCT time 1914.54, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20224 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 60.1/14.6452
Info:Square Root: Total cpu/real time for sqrt: 470.76/84.8627
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 812486/113501
Info:root: Cleaning up computation data in /tmp/cado.c58n0dbj
15842049385416131822254160632744448969755998948910649560127 23255703921051872834355704747533196006612112054022983820934655673184721776983649628854938123
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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 18, 2022 14:46:59 UTC 2022 年 9 月 18 日 (日) 23 時 46 分 59 秒 (日本時間)

49×10188-229

c134

name 名前Ignacio Santos
date 日付September 16, 2022 08:22:19 UTC 2022 年 9 月 16 日 (金) 17 時 22 分 19 秒 (日本時間)
composite number 合成数
23356059597707158948594613943392387978101966053670437274623822417330952690012210604466371484790791519185358540337377542203176991567721<134>
prime factors 素因数
31347972279437584246792414168047212387891267<44>
745058065941552227949543127263958073597853445500819441950018726782574023046797763648193763<90>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:249952443
Step 1 took 4890ms
Step 2 took 3250ms
********** Factor found in step 2: 31347972279437584246792414168047212387891267
Found prime factor of 44 digits: 31347972279437584246792414168047212387891267
Prime cofactor 745058065941552227949543127263958073597853445500819441950018726782574023046797763648193763 has 90 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10189-229

c154

name 名前Eric Jeancolas
date 日付October 5, 2022 21:08:14 UTC 2022 年 10 月 6 日 (木) 6 時 8 分 14 秒 (日本時間)
composite number 合成数
1995670168700712845408101885702489320332533656368502221302859868585568902911151157635585700151284370505870221046840499533630736856897566376629300145282857<154>
prime factors 素因数
39016489965483367847303364349985059497145846223635691727895052205896111<71>
51149402995149434852333320254450593727040566932691137163227520489878305585607109287<83>
factorization results 素因数分解の結果
1995670168700712845408101885702489320332533656368502221302859868585568902911151157635585700151284370505870221046840499533630736856897566376629300145282857=39016489965483367847303364349985059497145846223635691727895052205896111*51149402995149434852333320254450593727040566932691137163227520489878305585607109287

cado polynomial
n: 1995670168700712845408101885702489320332533656368502221302859868585568902911151157635585700151284370505870221046840499533630736856897566376629300145282857
skew: 0.68
type: snfs
c0: -55
c5: 392
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 392*x^5-55
# g(x) = -x+50000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10700000
tasks.lim1 = 10700000
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: 39016489965483367847303364349985059497145846223635691727895052205896111 51149402995149434852333320254450593727040566932691137163227520489878305585607109287
Info:Square Root: Total cpu/real time for sqrt: 1059.09/324.382
Info:Square Root: Total cpu/real time for sqrt: 1059.09/324.382
Info:Generate Factor Base: Total cpu/real time for makefb: 4.54/2.25896
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 109.77/120.402
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 119.8s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 336.07/385.868
Info:Filtering - Merging: Merged matrix has 2043436 rows and total weight 349296092 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 550.39/151.644
Info:Filtering - Merging: Total cpu/real time for replay: 78.76/68.6904
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25676448
Info:Lattice Sieving: Average J: 1893.94 for 2253849 special-q, max bucket fill -bkmult 1.0,1s:1.126380
Info:Lattice Sieving: Total time: 562125s
Info:Generate Free Relations: Total cpu/real time for freerel: 121.41/31.9859
Info:Linear Algebra: Total cpu/real time for bwc: 70109.2/17999.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 44976.45, WCT time 11470.25, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (64000 iterations)
Info:Linear Algebra: Lingen CPU time 423.42, WCT time 107.63
Info:Linear Algebra: Mksol: CPU time 24313.57,  WCT time 6251.12, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 71.55/30.875
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 442.55/451.818
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 364.99999999999994s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.15421e+06/114397
Info:root: Cleaning up computation data in /tmp/cado.88veuu0e
39016489965483367847303364349985059497145846223635691727895052205896111 51149402995149434852333320254450593727040566932691137163227520489878305585607109287
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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 16, 2022 11:09:11 UTC 2022 年 9 月 16 日 (金) 20 時 9 分 11 秒 (日本時間)

49×10191-229

c163

name 名前Bob Backstrom
date 日付September 25, 2022 20:53:50 UTC 2022 年 9 月 26 日 (月) 5 時 53 分 50 秒 (日本時間)
composite number 合成数
2472473000151196179850336195010406711696225137666964856565383639404914697374794620860929790404909452133419058534274498786536968883501387930914864850335231822912373<163>
prime factors 素因数
3453351934971066531182139043104636236362712142026988520079<58>
715963228396503259837570387817733605440004229355376588790723421157093504138587490692855314136316109894587<105>
factorization results 素因数分解の結果
Number: n
N=2472473000151196179850336195010406711696225137666964856565383639404914697374794620860929790404909452133419058534274498786536968883501387930914864850335231822912373  ( 163 digits)
SNFS difficulty: 192 digits.
Divisors found:

Mon Sep 26 06:50:02 2022  p58 factor: 3453351934971066531182139043104636236362712142026988520079
Mon Sep 26 06:50:02 2022  p105 factor: 715963228396503259837570387817733605440004229355376588790723421157093504138587490692855314136316109894587
Mon Sep 26 06:50:02 2022  elapsed time 00:49:33 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 49x10^191-22 = 54(190)2
#
n: 2472473000151196179850336195010406711696225137666964856565383639404914697374794620860929790404909452133419058534274498786536968883501387930914864850335231822912373
m: 100000000000000000000000000000000000000
deg: 5
c5: 245
c0: -11
skew: 0.54
# Murphy_E = 2.864e-11
type: snfs
lss: 1
rlim: 11300000
alim: 11300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11300000/11300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3335671 hash collisions in 28404489 relations (26698600 unique)
Msieve: matrix is 1462683 x 1462908 (511.2 MB)

Sieving start time : 2022/09/26 00:54:43
Sieving end time  : 2022/09/26 05:59:24

Total sieving time: 5hrs 4min 41secs.

Total relation processing time: 0hrs 39min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 57sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11300000,11300000,28,28,55,55,2.5,2.5,100000
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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 19, 2022 14:10:15 UTC 2022 年 9 月 19 日 (月) 23 時 10 分 15 秒 (日本時間)

49×10192-229

c145

composite cofactor 合成数の残り
1115513301182013199854160123806845536313007321238065465900173210638346520454212352932135706993339194380423780396711972108970915356597431185195983<145>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 19, 2022 14:53:39 UTC 2022 年 9 月 19 日 (月) 23 時 53 分 39 秒 (日本時間)

49×10194-229

c94

name 名前Ignacio Santos
date 日付September 10, 2022 07:20:00 UTC 2022 年 9 月 10 日 (土) 16 時 20 分 0 秒 (日本時間)
composite number 合成数
4350976551496418690567202835080767561792526098234054795350026662741500517463112244621257428911<94>
prime factors 素因数
15877704829957086159841294366563887173<38>
274030572938178143142422325624382642627163643124327831907<57>
factorization results 素因数分解の結果
prp57 = 274030572938178143142422325624382642627163643124327831907
prp38 = 15877704829957086159841294366563887173
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10196-229

c149

composite cofactor 合成数の残り
14718907331929829345909440705716409784703688285942014818559857369999219439896247783297354699499040737487084988855246140252860226703765512124401112259<149>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 28, 2022 07:39:20 UTC 2022 年 9 月 28 日 (水) 16 時 39 分 20 秒 (日本時間)

49×10197-229

c191

name 名前Bob Backstrom
date 日付September 29, 2022 00:23:59 UTC 2022 年 9 月 29 日 (木) 9 時 23 分 59 秒 (日本時間)
composite number 合成数
13347374335301439090474828265735719449435953852755285681452729965984734057734018656175347147909353633458470143239281686589039318155974049675255386072775409054665893129120903082693777548333689<191>
prime factors 素因数
602662950837106560130901879321124915601455180563169737737024240324579457<72>
22147328480640406266814285262869183614795161182054656286739056647970015848353012498765900548279170955288266726892291577<119>
factorization results 素因数分解の結果
Number: n
N=13347374335301439090474828265735719449435953852755285681452729965984734057734018656175347147909353633458470143239281686589039318155974049675255386072775409054665893129120903082693777548333689  ( 191 digits)
SNFS difficulty: 198 digits.
Divisors found:

Thu Sep 29 10:19:44 2022  p72 factor: 602662950837106560130901879321124915601455180563169737737024240324579457
Thu Sep 29 10:19:44 2022  p119 factor: 22147328480640406266814285262869183614795161182054656286739056647970015848353012498765900548279170955288266726892291577
Thu Sep 29 10:19:44 2022  elapsed time 01:20:52 (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 = 49x10^197-22 = 54(196)2
#
n: 13347374335301439090474828265735719449435953852755285681452729965984734057734018656175347147909353633458470143239281686589039318155974049675255386072775409054665893129120903082693777548333689
m: 1000000000000000000000000000000000000000
deg: 5
c5: 2450
c0: -11
skew: 0.34
# Murphy_E = 1.432e-11
type: snfs
lss: 1
rlim: 14200000
alim: 14200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14200000/14200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3731003 hash collisions in 28917178 relations (26748665 unique)
Msieve: matrix is 1825282 x 1825507 (636.5 MB)

Sieving start time : 2022/09/29 00:42:04
Sieving end time  : 2022/09/29 08:57:50

Total sieving time: 8hrs 15min 46secs.

Total relation processing time: 1hrs 9min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 35sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14200000,14200000,28,28,55,55,2.5,2.5,100000
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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10198-229

c186

name 名前Bob Backstrom
date 日付September 30, 2022 14:40:59 UTC 2022 年 9 月 30 日 (金) 23 時 40 分 59 秒 (日本時間)
composite number 合成数
593594963343418140529397620127820440722964872258501313362365402359969367991498719921963951347993565082311400098507800052057378923431717848915514985391947805676520333778679058595679514471<186>
prime factors 素因数
90570873486820578421741465618886655112099<41>
6553927774913147079987429882641500615593130630436413160891204135046560340391085097402995464466473913374697073367951198743875898792315534393176429<145>
factorization results 素因数分解の結果
Number: n
N=593594963343418140529397620127820440722964872258501313362365402359969367991498719921963951347993565082311400098507800052057378923431717848915514985391947805676520333778679058595679514471  ( 186 digits)
SNFS difficulty: 199 digits.
Divisors found:

Sat Oct  1 00:36:35 2022  p41 factor: 90570873486820578421741465618886655112099
Sat Oct  1 00:36:35 2022  p145 factor: 6553927774913147079987429882641500615593130630436413160891204135046560340391085097402995464466473913374697073367951198743875898792315534393176429
Sat Oct  1 00:36:35 2022  elapsed time 01:47:15 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 49x10^198-22 = 54(197)2
#
n: 593594963343418140529397620127820440722964872258501313362365402359969367991498719921963951347993565082311400098507800052057378923431717848915514985391947805676520333778679058595679514471
m: 1000000000000000000000000000000000000000
deg: 5
c5: 24500
c0: -11
skew: 0.21
# Murphy_E = 1.139e-11
type: snfs
lss: 1
rlim: 14700000
alim: 14700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14700000/14700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3794542 hash collisions in 27228910 relations (24799117 unique)
Msieve: matrix is 2218966 x 2219191 (774.6 MB)

Sieving start time : 2022/09/30 13:36:51
Sieving end time  : 2022/09/30 22:48:52

Total sieving time: 9hrs 12min 1secs.

Total relation processing time: 1hrs 32min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 51sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14700000,14700000,28,28,55,55,2.5,2.5,100000
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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10199-229

c154

composite cofactor 合成数の残り
2165458744347612645836495329943499357960180124584144959407306781168469569718096098013362372025372384148297680217460629650032362015345723406727555081444997<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 4, 2022 13:22:46 UTC 2022 年 10 月 4 日 (火) 22 時 22 分 46 秒 (日本時間)

49×10201-229

c171

composite cofactor 合成数の残り
153402448462749983498782008360892381912989593098564467030336153480149468214249417555042112653205008465462013020614084120006565949847855353039302194326324111183478822545409<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 13:58:09 UTC 2022 年 11 月 3 日 (木) 22 時 58 分 9 秒 (日本時間)

49×10203-229

c131

name 名前Eric Jeancolas
date 日付September 23, 2022 16:42:39 UTC 2022 年 9 月 24 日 (土) 1 時 42 分 39 秒 (日本時間)
composite number 合成数
48608735582479405753388585006727089769268305567172905254770251926287775233761607321086258111703416217429947048390572930830263838681<131>
prime factors 素因数
10011030703915834837792043654908713872451695394685616693959<59>
4855517580569001836732430701780373481648992523749885607239453287347748959<73>
factorization results 素因数分解の結果
48608735582479405753388585006727089769268305567172905254770251926287775233761607321086258111703416217429947048390572930830263838681=10011030703915834837792043654908713872451695394685616693959*4855517580569001836732430701780373481648992523749885607239453287347748959

cado polynomial
n: 48608735582479405753388585006727089769268305567172905254770251926287775233761607321086258111703416217429947048390572930830263838681
skew: 62313.902
c0: -159049762791232069301258991900
c1: 841804687506290620726319
c2: -108196581892700052480
c3: -21104192973127691
c4: 80056391040
c5: 544320
Y0: -18459066113438215381088603
Y1: 6545731168435003
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.153e-07
# f(x) = 544320*x^5+80056391040*x^4-21104192973127691*x^3-108196581892700052480*x^2+841804687506290620726319*x-159049762791232069301258991900
# g(x) = 6545731168435003*x-18459066113438215381088603

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 10011030703915834837792043654908713872451695394685616693959 4855517580569001836732430701780373481648992523749885607239453287347748959
Info:Square Root: Total cpu/real time for sqrt: 772.35/232.29
Info:Generate Factor Base: Total cpu/real time for makefb: 40.65/11.1374
Info:Generate Free Relations: Total cpu/real time for freerel: 252.96/64.0375
Info:Filtering - Singleton removal: Total cpu/real time for purge: 255.11/287.079
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 108.82/116.363
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 116.0s
Info:Filtering - Merging: Merged matrix has 1773025 rows and total weight 303623280 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 461.52/129.193
Info:Filtering - Merging: Total cpu/real time for replay: 70.74/61.4217
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24508802
Info:Lattice Sieving: Average J: 7680.03 for 74739 special-q, max bucket fill -bkmult 1.0,1s:1.070830
Info:Lattice Sieving: Total time: 102728s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5491.6
Info:Polynomial Selection (root optimized): Rootsieve time: 5489.06
Info:Linear Algebra: Total cpu/real time for bwc: 51365.9/13190.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 32877.16, WCT time 8396.42, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55552 iterations)
Info:Linear Algebra: Lingen CPU time 349.97, WCT time 88.8
Info:Linear Algebra: Mksol: CPU time 17810.91,  WCT time 4581.69, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27904 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38619/38.920/46.672/51.370/0.854
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30519/38.030/41.951/47.500/1.044
Info:Polynomial Selection (size optimized): Total time: 4847.85
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 385.4/361.393
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 315.1000000000001s
Info:Square Root: Total cpu/real time for sqrt: 772.35/232.29
Info:Quadratic Characters: Total cpu/real time for characters: 68.43/30.5375
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 256767/69107.3
Info:root: Cleaning up computation data in /tmp/cado.iw9fhbwo
10011030703915834837792043654908713872451695394685616693959 4855517580569001836732430701780373481648992523749885607239453287347748959
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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 11, 2022 13:52:56 UTC 2022 年 9 月 11 日 (日) 22 時 52 分 56 秒 (日本時間)
4511e64480Ignacio SantosSeptember 21, 2022 15:13:13 UTC 2022 年 9 月 22 日 (木) 0 時 13 分 13 秒 (日本時間)

49×10208-229

c171

composite cofactor 合成数の残り
307547157909722680525617408747211814339172571067180158311459163348101174423330921546388161539406206833812513187672587889987638808819845974073505581012236175518917737823871<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 13:58:12 UTC 2022 年 11 月 3 日 (木) 22 時 58 分 12 秒 (日本時間)

49×10209-229

c187

composite cofactor 合成数の残り
2201037068395245935205301713217804743504847496787673731592199349289974048879579289466569366581950223932019082544737182622752846979395429020485868140597432030471612552012713145158950585023<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 13:58:17 UTC 2022 年 11 月 3 日 (木) 22 時 58 分 17 秒 (日本時間)

49×10211-229

c161

composite cofactor 合成数の残り
80120653364697294527297118687000600780374453398848386106093649193121110079493505813967558100570687839871524155272429782066000697217116161705452305206214794626521<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 13:58:21 UTC 2022 年 11 月 3 日 (木) 22 時 58 分 21 秒 (日本時間)

49×10212-229

c190

composite cofactor 合成数の残り
3536165419572395079601173813220148033392116607644724573555125891947357925528676919249259562085706840680383150837814990769253264682980022600770348450818925945073568448495892430753742784508607<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 13:58:26 UTC 2022 年 11 月 3 日 (木) 22 時 58 分 26 秒 (日本時間)

49×10214-229

c200

composite cofactor 合成数の残り
22080321421861692076504288950255100844680944904785800974338441435142004014825777579612886658354650809875445431633283978282509262789395995646724497922934271229322996397818960409875900545253464102679971<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 13:58:33 UTC 2022 年 11 月 3 日 (木) 22 時 58 分 33 秒 (日本時間)

49×10215-229

c157

composite cofactor 合成数の残り
1722627713952529957956844477056058668706198697969979580413664525880207820246308191090057455029308560894547458674322613773319834548467617883796164164391320903<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 13:58:37 UTC 2022 年 11 月 3 日 (木) 22 時 58 分 37 秒 (日本時間)

49×10216-229

c173

name 名前Dmitry Domanov
date 日付September 28, 2022 21:00:09 UTC 2022 年 9 月 29 日 (木) 6 時 0 分 9 秒 (日本時間)
composite number 合成数
17461282501327860703078561131251120378135616763182123001385564788809521875101332059332791708604078167810090931653257366707077532340650055828082004603686371736787889525797091<173>
prime factors 素因数
98576524568058924905533916846321769121<38>
composite cofactor 合成数の残り
177134288085722595059203531272649833423355007866097480638299764989768790071722811988137403591951611468978193242984729752153745444749571<135>
factorization results 素因数分解の結果
Resuming ECM residue saved by @825c778b9222 with GMP-ECM 7.0.5-dev on Wed Sep 28 06:46:12 2022 
Input number is 17461282501327860703078561131251120378135616763182123001385564788809521875101332059332791708604078167810090931653257366707077532340650055828082004603686371736787889525797091 (173 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3079113393
Step 1 took 0ms
Step 2 took 5487ms
********** Factor found in step 2: 98576524568058924905533916846321769121
Found prime factor of 38 digits: 98576524568058924905533916846321769121
Composite cofactor 177134288085722595059203531272649833423355007866097480638299764989768790071722811988137403591951611468978193242984729752153745444749571 has 135 digits

c135

name 名前Norman Powell
date 日付October 1, 2022 22:14:45 UTC 2022 年 10 月 2 日 (日) 7 時 14 分 45 秒 (日本時間)
composite number 合成数
177134288085722595059203531272649833423355007866097480638299764989768790071722811988137403591951611468978193242984729752153745444749571<135>
prime factors 素因数
956315581578277529166711019929266123568394753085571449833301<60>
185225768039233374761327143486472535880707803987185034652931453746287425271<75>
factorization results 素因数分解の結果
n: 177134288085722595059203531272649833423355007866097480638299764989768790071722811988137403591951611468978193242984729752153745444749571
skew: 135366.416
c0: 14565989304600954207317244180111
c1: 600865968392811776160420734
c2: 5771286132256271191467
c3: -86500649728129892
c4: -139553580948
c5: 23040
Y0: -37062200236707996977197960
Y1: 413965543763322231223
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=4.698e+13) = 2.121e-06
# f(x) = 23040*x^5-139553580948*x^4-86500649728129892*x^3+5771286132256271191467*x^2+600865968392811776160420734*x+14565989304600954207317244180111
# g(x) = 413965543763322231223*x-37062200236707996977197960
Factors: 
    185225768039233374761327143486472535880707803987185034652931453746287425271
        956315581578277529166711019929266123568394753085571449833301
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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovSeptember 28, 2022 21:00:02 UTC 2022 年 9 月 29 日 (木) 6 時 0 分 2 秒 (日本時間)
2350Ignacio SantosSeptember 30, 2022 12:10:23 UTC 2022 年 9 月 30 日 (金) 21 時 10 分 23 秒 (日本時間)
4511e64480Ignacio SantosSeptember 30, 2022 13:02:06 UTC 2022 年 9 月 30 日 (金) 22 時 2 分 6 秒 (日本時間)

49×10217-229

c179

composite cofactor 合成数の残り
59693341094501293064781963163583336785400071449178067716279258181336404377056815362653586315023047850357060621079298997533943404128536781418745531924005061017323463762320176057801<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 13:58:42 UTC 2022 年 11 月 3 日 (木) 22 時 58 分 42 秒 (日本時間)

49×10220-229

c206

composite cofactor 合成数の残り
10845173931159305088991393264989256048647880146717495880715849894300440458974016358456456819687594612972714182476241275666529814271525309392107077149018560867094053736060276310339343424905695226195719700659<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 13:58:46 UTC 2022 年 11 月 3 日 (木) 22 時 58 分 46 秒 (日本時間)

49×10224-229

c200

composite cofactor 合成数の残り
11004442696830858792169440069637337054820264956572688467264053443273644961927854773287750287210261611728793707023943823014020548458101987355003651723580473309724499864225225248455668046658290107385347<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 13:58:51 UTC 2022 年 11 月 3 日 (木) 22 時 58 分 51 秒 (日本時間)

49×10225-229

c197

composite cofactor 合成数の残り
35944119601644008944067928465837710268755658175574648225887740613913730351188255979268589927934090156101648096645585192448771481177853403790407499783881239689913168989180141651394227962944698322621<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 13:58:55 UTC 2022 年 11 月 3 日 (木) 22 時 58 分 55 秒 (日本時間)

49×10226-229

c198

composite cofactor 合成数の残り
686502755132455041551228342975285447697470213896733309901627715196124116716340898485537697402367134744065924409051242179682134217157998982932877957465358558714450391932279171753019447723089330457059<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 13:58:59 UTC 2022 年 11 月 3 日 (木) 22 時 58 分 59 秒 (日本時間)

49×10227-229

c203

composite cofactor 合成数の残り
14754246166685990711150174449207326259026013613179756926510185024455212180672380472138690185877113749147301996735145977145986243533015993320185344068876911818214018213444156052696720685947115195709537861<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 13:59:04 UTC 2022 年 11 月 3 日 (木) 22 時 59 分 4 秒 (日本時間)

49×10228-229

c166

composite cofactor 合成数の残り
1052015100683688695374022248488393852629241087703634780619995214191371725188069612783759096165083278364727902164307262449970871996530746506991638231670273111848966541<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 13:59:08 UTC 2022 年 11 月 3 日 (木) 22 時 59 分 8 秒 (日本時間)

49×10229-229

c181

composite cofactor 合成数の残り
8343948416331154111327168015118347823307628239216811396918472874253825307082933611998614476780558487916393678359698935708894325508238054477837914392751873419430320110794442926049291<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 13:59:13 UTC 2022 年 11 月 3 日 (木) 22 時 59 分 13 秒 (日本時間)

49×10230-229

c189

composite cofactor 合成数の残り
438609709314927312891394285517724971792584001586950638562679309018780539619912778197281001406644363456955652290213028140524152749054363698535746628247186256428062011520203018063440199162553<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 13:59:18 UTC 2022 年 11 月 3 日 (木) 22 時 59 分 18 秒 (日本時間)

49×10231-229

c162

composite cofactor 合成数の残り
463048436162481714618607704455246547337208346046783799115031720552377827137587051791751024249374201082167473962439128983231795638898215659561149387868915207586139<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 13:59:26 UTC 2022 年 11 月 3 日 (木) 22 時 59 分 26 秒 (日本時間)

49×10232-229

c201

composite cofactor 合成数の残り
388696294483611286938534431169913181705418684515182092191311894013122412019759556982045645994749770689787381080647517330981468260253750376698209461183465291585007246022193760560217608659353727391606799<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 13:59:30 UTC 2022 年 11 月 3 日 (木) 22 時 59 分 30 秒 (日本時間)

49×10233-229

c204

composite cofactor 合成数の残り
465662024084527799755281390720259510734163539286924847726591623256162250602174890696693011590171079758659831937438980829381049793302274104067121691668140091040426711891478398091028455793728297897403799109<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 13:59:34 UTC 2022 年 11 月 3 日 (木) 22 時 59 分 34 秒 (日本時間)

49×10235-229

c219

composite cofactor 合成数の残り
882657271731131293974162302132677646365855016207585307445570500271385838101275543701468592874175111261909626754918071283558933197020733540172996584455897752350100427179133867454704657639679270015953052639791435104485483<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:00:14 UTC 2022 年 11 月 3 日 (木) 23 時 0 分 14 秒 (日本時間)

49×10239-229

c236

composite cofactor 合成数の残り
12266129960898581634849827523192998793413338540180337143343496698158077872402208904709693246619304385266625612680675087740378597856180877854378507737675042681125680269554464120318218457271311774984104096887406940126266039842392746461597<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:00:18 UTC 2022 年 11 月 3 日 (木) 23 時 0 分 18 秒 (日本時間)

49×10241-229

c167

composite cofactor 合成数の残り
23208721937424422762634334928898750641793210725247058863202391438311163203362091130092799473978074405013747433866369973655202369674437140100827214713576549358341297033<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:00:25 UTC 2022 年 11 月 3 日 (木) 23 時 0 分 25 秒 (日本時間)

49×10243-229

c211

composite cofactor 合成数の残り
1222248479873982793993036186097299114100049918829387926574383479820797305265598673009506994343607200034074159109846852351019618646202047440654934462437593080440367709690284320515879574768711073378315325274203709<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e635841792Dmitry DomanovNovember 3, 2022 14:00:29 UTC 2022 年 11 月 3 日 (木) 23 時 0 分 29 秒 (日本時間)
1792Dmitry DomanovNovember 3, 2022 14:00:33 UTC 2022 年 11 月 3 日 (木) 23 時 0 分 33 秒 (日本時間)

49×10244-229

c129

name 名前Eric Jeancolas
date 日付September 17, 2022 19:33:58 UTC 2022 年 9 月 18 日 (日) 4 時 33 分 58 秒 (日本時間)
composite number 合成数
174318528794689799186981370542342661632291430866796701167785725649659389828561489422498493354671945777342111061442339434124008133<129>
prime factors 素因数
4325276740041090506529207257518362420233998264903867<52>
40302283361650001139434035416442744267517047523694272682247576499643989135999<77>
factorization results 素因数分解の結果
174318528794689799186981370542342661632291430866796701167785725649659389828561489422498493354671945777342111061442339434124008133=4325276740041090506529207257518362420233998264903867*40302283361650001139434035416442744267517047523694272682247576499643989135999

cado polynomial
n: 174318528794689799186981370542342661632291430866796701167785725649659389828561489422498493354671945777342111061442339434124008133
skew: 22370.776
c0: -10537619442407450166675590080
c1: -1385463873374729725024982
c2: 139000534545861325759
c3: 590319711188027
c4: 66760244556
c5: 2439360
Y0: -3093953056487168603211291
Y1: 927621839844247543
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.383e-07
# f(x) = 2439360*x^5+66760244556*x^4+590319711188027*x^3+139000534545861325759*x^2-1385463873374729725024982*x-10537619442407450166675590080
# g(x) = 927621839844247543*x-3093953056487168603211291

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 40302283361650001139434035416442744267517047523694272682247576499643989135999 4325276740041090506529207257518362420233998264903867
Info:Square Root: Total cpu/real time for sqrt: 4345.73/1259.8
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23530537
Info:Lattice Sieving: Average J: 7570.42 for 58333 special-q, max bucket fill -bkmult 1.0,1s:1.082580
Info:Lattice Sieving: Total time: 81331s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5202.95
Info:Polynomial Selection (root optimized): Rootsieve time: 5200.52
Info:Linear Algebra: Total cpu/real time for bwc: 51014.3/13107.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 32654.31, WCT time 8335.99, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55040 iterations)
Info:Linear Algebra: Lingen CPU time 347.83, WCT time 88.28
Info:Linear Algebra: Mksol: CPU time 17684.99,  WCT time 4552.48, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27648 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38536/37.620/45.755/50.020/0.855
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30622/37.400/41.022/46.560/0.925
Info:Polynomial Selection (size optimized): Total time: 4850.61
Info:Generate Free Relations: Total cpu/real time for freerel: 253.35/64.4514
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 305.68/269.957
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 244.00000000000003s
Info:Square Root: Total cpu/real time for sqrt: 4345.73/1259.8
Info:Quadratic Characters: Total cpu/real time for characters: 69.05/30.3483
Info:Generate Factor Base: Total cpu/real time for makefb: 40.67/11.0892
Info:Filtering - Singleton removal: Total cpu/real time for purge: 160.44/180.617
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 102.18/109.688
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 109.5s
Info:Filtering - Merging: Merged matrix has 1755372 rows and total weight 301042961 (171.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 454.57/127.309
Info:Filtering - Merging: Total cpu/real time for replay: 71.16/60.622
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 219605/59247.1
Info:root: Cleaning up computation data in /tmp/cado.v6rxl099
40302283361650001139434035416442744267517047523694272682247576499643989135999 4325276740041090506529207257518362420233998264903867
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
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 11, 2022 13:51:55 UTC 2022 年 9 月 11 日 (日) 22 時 51 分 55 秒 (日本時間)

49×10245-229

c245

composite cofactor 合成数の残り
16013071895424836601307189542483660130718954248366013071895424836601307189542483660130718954248366013071895424836601307189542483660130718954248366013071895424836601307189542483660130718954248366013071895424836601307189542483660130718954248366013<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:00:37 UTC 2022 年 11 月 3 日 (木) 23 時 0 分 37 秒 (日本時間)

49×10247-229

c235

composite cofactor 合成数の残り
1727352342025078836812003423376507987238963173788071193697205878546496312526021325938553194035526076658604116821075628587681005382998706817747057090980735576190597135792226161513730425943826238906976460081820580867907782449027961963063<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:00:43 UTC 2022 年 11 月 3 日 (木) 23 時 0 分 43 秒 (日本時間)

49×10249-229

c199

composite cofactor 合成数の残り
6121141773213672058895507055610357269769841401097519564892882095197815400980583250268902488106205349749933349931961533542994643555624531506414253426005179074989427496548389174965442373267599961216001<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:00:47 UTC 2022 年 11 月 3 日 (木) 23 時 0 分 47 秒 (日本時間)

49×10250-229

c195

composite cofactor 合成数の残り
681629457001913044999291922802801855522378264242149147344338407747864651201070918336250944139626516740553403759261245419937055328980964481562069356643551808847652483003766827843390437539506020411<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:00:57 UTC 2022 年 11 月 3 日 (木) 23 時 0 分 57 秒 (日本時間)

49×10253-229

c205

composite cofactor 合成数の残り
4492158829152142033769425729738903287743985381833007074270039188879785096880879775499253940963245340638073453012585109494084209400508825214932511864881744294898909497558011260763475029651074346268882024551<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:02:01 UTC 2022 年 11 月 3 日 (木) 23 時 2 分 1 秒 (日本時間)

49×10256-229

c230

name 名前Dmitry Domanov
date 日付September 30, 2022 04:57:24 UTC 2022 年 9 月 30 日 (金) 13 時 57 分 24 秒 (日本時間)
composite number 合成数
74414271956755383165716067439428021085400346985098949168645711540197590578077601369369068339822429310118684999390295133022817985075758635998062757999788491804934021392292077951469540720151646640690981602642926954318167555516988201<230>
prime factors 素因数
11618567195932867166433079717743646966482443<44>
6404771836479496455756311300008330057067436104797663069995484498836430283414366350591173466677341179864208937530515080693325823468496326126520539861139905286121650997864230203408897607707<187>
factorization results 素因数分解の結果
Resuming ECM residue saved by @825c778b9222 with GMP-ECM 7.0.5-dev on Wed Sep 28 06:16:29 2022 
Input number is 74414271956755383165716067439428021085400346985098949168645711540197590578077601369369068339822429310118684999390295133022817985075758635998062757999788491804934021392292077951469540720151646640690981602642926954318167555516988201 (230 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1176782286
Step 1 took 0ms
Step 2 took 7867ms
********** Factor found in step 2: 11618567195932867166433079717743646966482443
Found prime factor of 44 digits: 11618567195932867166433079717743646966482443
Prime cofactor 6404771836479496455756311300008330057067436104797663069995484498836430283414366350591173466677341179864208937530515080693325823468496326126520539861139905286121650997864230203408897607707 has 187 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10258-229

c220

composite cofactor 合成数の残り
1638937242235713609155839786583614741970710461730216927996763449946605583375558307713182353626590721110317237867085909624044112653790250575591067851858775273650768029849258211913358088838254388727594940748370255354468533<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:02:04 UTC 2022 年 11 月 3 日 (木) 23 時 2 分 4 秒 (日本時間)

49×10259-229

c209

name 名前Dmitry Domanov
date 日付September 28, 2022 08:40:54 UTC 2022 年 9 月 28 日 (水) 17 時 40 分 54 秒 (日本時間)
composite number 合成数
17530189739425732499069202937537189292305661874512536179596775992580641663292087910110809684722927816618724854897946949552020409139497307633253342273995518537534394823223138521981307662389510777173727934666161<209>
prime factors 素因数
9820369314780391970129029492819883099<37>
1785084570398129818677537585656690848080754372520127877116779579765723072481989119363805247266770331071939849612169105001059726164189637661352040027454823176754365245344739<172>
factorization results 素因数分解の結果
GPU: factor 9820369314780391970129029492819883099 found in Step 1 with curve 410 (-sigma 3:-1556500389)
Computing 1792 Step 1 took 173ms of CPU time / 175367ms of GPU time
Throughput: 10.219 curves per second (on average 97.86ms per Step 1)
********** Factor found in step 1: 9820369314780391970129029492819883099
Found prime factor of 37 digits: 9820369314780391970129029492819883099
Prime cofactor 1785084570398129818677537585656690848080754372520127877116779579765723072481989119363805247266770331071939849612169105001059726164189637661352040027454823176754365245344739 has 172 digits
Peak memory usage: 9428MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10260-229

c236

composite cofactor 合成数の残り
12239293920171414660130672774760234731365254641999013485736033305655952943233504054919427546618186857462347010186596549058051608305916478371655287220643010678974728773706418998264265517061359453820691770547540869996551286925178607782583<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:02:09 UTC 2022 年 11 月 3 日 (木) 23 時 2 分 9 秒 (日本時間)

49×10261-229

c206

composite cofactor 合成数の残り
53707895536657489372012628352398062650548405953723410523868524165794757588629855430281707455555022431168010116880306286115726872392474057451554491668402775354539318933636412929890205760389913566336559246753<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:02:17 UTC 2022 年 11 月 3 日 (木) 23 時 2 分 17 秒 (日本時間)

49×10263-229

c257

composite cofactor 合成数の残り
61447728035465722488466449553032988375820424357006584713455575186223609987809021564816806640829025659492757281699986258281554844216591252747873425806395464485508080037647141914430803299627624260034545661894485623200475068687900643889423484122797440674538547<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:02:21 UTC 2022 年 11 月 3 日 (木) 23 時 2 分 21 秒 (日本時間)

49×10265-229

c235

composite cofactor 合成数の残り
9117653096533106786728516853656345559483025262568671793393216119708625134699428493773530960740603973653594701235941308210633711147211429543595410937505917063687446151848163443007730507322995404495536984184900358472868523680753407069943<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:02:25 UTC 2022 年 11 月 3 日 (木) 23 時 2 分 25 秒 (日本時間)

49×10266-229

c211

composite cofactor 合成数の残り
1157924281613175244473419885162116762423771017270081849744623849409142280275208953572962084012895078642581480225266527047457498611482116858872874297750496321166990972935989034955988362797364765761302948990305209<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:02:30 UTC 2022 年 11 月 3 日 (木) 23 時 2 分 30 秒 (日本時間)

49×10267-229

c212

name 名前Dmitry Domanov
date 日付September 28, 2022 08:41:25 UTC 2022 年 9 月 28 日 (水) 17 時 41 分 25 秒 (日本時間)
composite number 合成数
77831331919730534278736006380991681399356699158027064987635594325624120660310202823200306950097753501008487751738865834732966738936962163410672617530702286760276857358932907996906426202950467838068801278301139981<212>
prime factors 素因数
3274606935807546937165731748582734587419<40>
23768144832484037268782003535193045076863056939365625105484625652034494218234817045926656455772258725701775299116085932207342918969556950400515051282166304290063734914404599<173>
factorization results 素因数分解の結果
GPU: factor 3274606935807546937165731748582734587419 found in Step 1 with curve 267 (-sigma 3:-17530682)
Computing 1792 Step 1 took 262ms of CPU time / 175508ms of GPU time
Throughput: 10.210 curves per second (on average 97.94ms per Step 1)
********** Factor found in step 1: 3274606935807546937165731748582734587419
Found prime factor of 40 digits: 3274606935807546937165731748582734587419
Prime cofactor 23768144832484037268782003535193045076863056939365625105484625652034494218234817045926656455772258725701775299116085932207342918969556950400515051282166304290063734914404599 has 173 digits
Peak memory usage: 9428MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10268-229

c164

composite cofactor 合成数の残り
12630607995752716390671125155446083091607607792573134422407026434533443958287324284206793046739142874577702323019592609416251094310112569109358317099724367405848297<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 12, 2022 14:27:09 UTC 2022 年 9 月 12 日 (月) 23 時 27 分 9 秒 (日本時間)
4511e64480Ignacio SantosSeptember 15, 2022 15:45:31 UTC 2022 年 9 月 16 日 (金) 0 時 45 分 31 秒 (日本時間)

49×10269-229

c264

name 名前Dmitry Domanov
date 日付September 30, 2022 04:57:51 UTC 2022 年 9 月 30 日 (金) 13 時 57 分 51 秒 (日本時間)
composite number 合成数
105393329410980771825893833298639569998657418036360526576046470801122228171568123258402117536963914141345704187251166886981742821090349485570857376455465747533591757777049058185850425012581597558970041322358489344497799279737685036810018371562935325533968850807913<264>
prime factors 素因数
104802130138283709876763198669781320995853<42>
composite cofactor 合成数の残り
1005641099774565552670720885725820963197753032432966852865598593804398887774002650683309335764910352758831976622929619996746022732833152218838843829415288948362296918346823028982818148569144170787250185213765843971775715021<223>
factorization results 素因数分解の結果
Resuming ECM residue saved by @825c778b9222 with GMP-ECM 7.0.5-dev on Wed Sep 28 08:19:06 2022 
Input number is 105393329410980771825893833298639569998657418036360526576046470801122228171568123258402117536963914141345704187251166886981742821090349485570857376455465747533591757777049058185850425012581597558970041322358489344497799279737685036810018371562935325533968850807913 (264 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3462780231
Step 1 took 0ms
Step 2 took 9448ms
********** Factor found in step 2: 104802130138283709876763198669781320995853
Found prime factor of 42 digits: 104802130138283709876763198669781320995853
Composite cofactor 1005641099774565552670720885725820963197753032432966852865598593804398887774002650683309335764910352758831976622929619996746022732833152218838843829415288948362296918346823028982818148569144170787250185213765843971775715021 has 223 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 30, 2022 04:57:42 UTC 2022 年 9 月 30 日 (金) 13 時 57 分 42 秒 (日本時間)

49×10270-229

c193

composite cofactor 合成数の残り
7438184131534451541964079818552117583685484053958229894828408753930363500049157450045617715638811086284853484231276833307181671188435653780930530358043574785381215140958766141093322727105233869<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:02:41 UTC 2022 年 11 月 3 日 (木) 23 時 2 分 41 秒 (日本時間)

49×10271-229

c258

composite cofactor 合成数の残り
996026826262418576963026960061677248400435308613462597038853783558713837215449718166518960089253968040618893691224594138782121316498955888065500944664249998081523557529839037890682578589657890302798248309545271213950659915980170217618629417773408937688501691<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:02:45 UTC 2022 年 11 月 3 日 (木) 23 時 2 分 45 秒 (日本時間)

49×10273-229

c269

composite cofactor 合成数の残り
46152657922150826886089588902263740776532597904857708529953074991475886649072143197569167763969656040252652835939545669467850435247820935222389878816306770123971690524765139484634932475835786959331031351783093810457627150572575525528071176817425736605839347307227882987<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:02:50 UTC 2022 年 11 月 3 日 (木) 23 時 2 分 50 秒 (日本時間)

49×10274-229

c227

composite cofactor 合成数の残り
11395776321496737884804845494076389326520798350469405494361334269426603975936987196939763835381768328259407842445092945672821099097693784680103089958879965937200008740140532655088090506074288129938187913604789277553667951774911<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:02:56 UTC 2022 年 11 月 3 日 (木) 23 時 2 分 56 秒 (日本時間)

49×10275-229

c273

composite cofactor 合成数の残り
243708345767432607181935740574952750422759375310852481846215060181040485427235651049437978712822043171192678802347557942902616134487217745946483636725355615239232070028847110315328757584800557047647468417387844424549885606286680592857853377101362777280413806823833681488113<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:03:01 UTC 2022 年 11 月 3 日 (木) 23 時 3 分 1 秒 (日本時間)

49×10276-229

c268

composite cofactor 合成数の残り
3971853921165048470721161963458828174110137259381306062315845712337091718263282257203260527566568082447728132361364651366484558639641277055587819087073665822448467257089301553908879715212989879446933387250164132688792616240297526668347260194098142918732323123285157237<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:03:05 UTC 2022 年 11 月 3 日 (木) 23 時 3 分 5 秒 (日本時間)

49×10277-229

c208

composite cofactor 合成数の残り
1742839442336531583521118241767219564492119572389219187477554114581017127932500061610886243059258214833763842487000984004220769422527124534309111880860638926050492412693769568605218261720167589750328813267457<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10278-229

c272

composite cofactor 合成数の残り
14243439342485167507235972402539804061551029037041703459069241701439407679424154839510535659883458318932198769556365757267248379193981441100846474810096728824396455913703640315553922385359600072593868727242363114022098039197561369704240563156058266410533582666773800585117<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:03:10 UTC 2022 年 11 月 3 日 (木) 23 時 3 分 10 秒 (日本時間)

49×10279-229

c227

composite cofactor 合成数の残り
11116213808667742895194273921207561677822494849559585683542905467804247253149871444954845112770807208095377837064022701283851950791815703431585928324496773847550517524452533051823444412271631755850083336689020489786624951128649<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:03:14 UTC 2022 年 11 月 3 日 (木) 23 時 3 分 14 秒 (日本時間)

49×10280-229

c264

composite cofactor 合成数の残り
363855655674365331592522078191504612179603535164840436954496432600910035812769219192817397018233088458493724706890576793096326817224059398347446466217418501168174002477827974324452329002959980241366899970495026590421084271499803036168589976443495936364141659150229<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:03:19 UTC 2022 年 11 月 3 日 (木) 23 時 3 分 19 秒 (日本時間)

49×10281-229

c260

name 名前Dmitry Domanov
date 日付September 30, 2022 10:48:15 UTC 2022 年 9 月 30 日 (金) 19 時 48 分 15 秒 (日本時間)
composite number 合成数
32659346364091661855530700784607352274934105455636751344003909414658104370669878462140931306695975002871718826156128299660071146333130637816878274351394278455182821531843812165597006876594488080014662123767446054594654909728958315200345714912734730590260881787<260>
prime factors 素因数
14123154274696092478587594019493633842667<41>
composite cofactor 合成数の残り
2312468286394502219709955532102180002164083549958608852726171688875743938946797328149517179322163687646856664664772128544755931926024022858752540238529505358665455291951409218363340036900921270171835009743228048795037361<220>
factorization results 素因数分解の結果
Resuming ECM residue saved by @825c778b9222 with GMP-ECM 7.0.5-dev on Wed Sep 28 07:26:19 2022 
Input number is 32659346364091661855530700784607352274934105455636751344003909414658104370669878462140931306695975002871718826156128299660071146333130637816878274351394278455182821531843812165597006876594488080014662123767446054594654909728958315200345714912734730590260881787 (260 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1695080044
Step 1 took 0ms
Step 2 took 9479ms
********** Factor found in step 2: 14123154274696092478587594019493633842667
Found prime factor of 41 digits: 14123154274696092478587594019493633842667
Composite cofactor 2312468286394502219709955532102180002164083549958608852726171688875743938946797328149517179322163687646856664664772128544755931926024022858752540238529505358665455291951409218363340036900921270171835009743228048795037361 has 220 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 30, 2022 10:48:09 UTC 2022 年 9 月 30 日 (金) 19 時 48 分 9 秒 (日本時間)

49×10282-229

c266

composite cofactor 合成数の残り
35176888976128901893041113730294495160820196622606866561590396078354656968174109573480895355899816014237646308201341008258327544467817043423494745551078696377991888867014668656376816583976271243505681296894108271157164057217671626015362392910051806135775277157526779<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:03:25 UTC 2022 年 11 月 3 日 (木) 23 時 3 分 25 秒 (日本時間)

49×10284-229

c270

composite cofactor 合成数の残り
147521503348667859597138333643830866527999035681447070504828871475102670775316465671860483412824113688873228407823807717145948753474315643386351344765199130422948257512784345750182410924816248797552945410798064552586527627765043305752945786337909672271565885945527413353<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:03:29 UTC 2022 年 11 月 3 日 (木) 23 時 3 分 29 秒 (日本時間)

49×10285-229

c252

composite cofactor 合成数の残り
675640156424789934233396577834684893596873473809082858913339789674788863278907674953058634111909041539713693493553873726445375287019030048072261939811996764807204583229529072287764050099580207908511838096705942998665984761589478597732827558575455342269<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:03:34 UTC 2022 年 11 月 3 日 (木) 23 時 3 分 34 秒 (日本時間)

49×10286-229

c236

composite cofactor 合成数の残り
85529336107194000853885274209865445117984040475561325395418107570718746712082917410665926205270831239037349795457253916366420656376466995663278948538529095568782263181547737083894399180999450940156252123312117827834079555283925325371921<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:04:11 UTC 2022 年 11 月 3 日 (木) 23 時 4 分 11 秒 (日本時間)

49×10287-229

c276

composite cofactor 合成数の残り
217531722900854630435209945347100009133945612651072133961626680454176302207131105958353191549682752428346386808681734577936788087490097103669834647196029288973715110659079355246165416477446209497794187271471732636017391477248890829244414427812520473339187225874896212327378263<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:04:15 UTC 2022 年 11 月 3 日 (木) 23 時 4 分 15 秒 (日本時間)

49×10288-229

c283

composite cofactor 合成数の残り
1983790086830896955708121158886444373675769510150406106122081470291285971276177021119753148497538116502242856877966221641821922532268370037903346022302496895368514109646264316790386342714555197420716614614443918942498994137454952782961947586322601352847673989928985982863130548691237<283>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:04:20 UTC 2022 年 11 月 3 日 (木) 23 時 4 分 20 秒 (日本時間)

49×10289-229

c239

composite cofactor 合成数の残り
48711519547363109063215830212130265202694936848578852144239055105331376039575277279218749400549039168107217171202157671375122992431259677682245264478067677634918877932499797803769408216057438595001042310768790786995850179185227310633391033<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:04:25 UTC 2022 年 11 月 3 日 (木) 23 時 4 分 25 秒 (日本時間)

49×10290-229

c234

composite cofactor 合成数の残り
203309124008803496482057348695259585102127513945835081572680445419454910422137330565249540385423602019125500881718388290709516200498138252120357716720550057234220719615524273291650672282220018027454624458431910031643498052258334064377<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:04:29 UTC 2022 年 11 月 3 日 (木) 23 時 4 分 29 秒 (日本時間)

49×10291-229

c289

composite cofactor 合成数の残り
4701592784494338898483976204183458069468432162732680867395893302629053924390711955478794857033199002110919209364805219727499520245634235271540971022836307810401074649779312991748224908846670504701592784494338898483976204183458069468432162732680867395893302629053924390711955478794857033199<289>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:04:34 UTC 2022 年 11 月 3 日 (木) 23 時 4 分 34 秒 (日本時間)

49×10293-229

c272

composite cofactor 合成数の残り
14202857667820664555578203179640097359015797211817882586083080593226306757496351917159504240383242959884687866405305477380811408889205099166151669185595711214355498004295655750086877910944951682041321045409961746222562742539319027989775100641232322021714116288951936166419<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:04:39 UTC 2022 年 11 月 3 日 (木) 23 時 4 分 39 秒 (日本時間)

49×10295-229

c220

composite cofactor 合成数の残り
2115424843767403360658493629059247003340829101002382054668882860605033602461601765641630556810414634378311253870858596485650637400876465058958000262051617431063667922319200818033290215424464196665146226610098153630269133<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:04:43 UTC 2022 年 11 月 3 日 (木) 23 時 4 分 43 秒 (日本時間)

49×10296-229

c249

name 名前Dmitry Domanov
date 日付September 28, 2022 20:59:36 UTC 2022 年 9 月 29 日 (木) 5 時 59 分 36 秒 (日本時間)
composite number 合成数
217088133374752431554464977627057471744788591582854500828836521635167883795856183368673296161545911752912213464979669720875414488215215520618223584933755385157814033627095614431209569451418426448734159361334497009672378159838196878179259693700517399<249>
prime factors 素因数
184895249467637377448246668605839689<36>
composite cofactor 合成数の残り
1174114175457762885614146850245309707675783463702423173655417567067097615336951804906906896438765910553978072896906687243366257274921298047136697904444343966273713686443699312198486845097549044547668311215249591391<214>
factorization results 素因数分解の結果
Resuming ECM residue saved by @825c778b9222 with GMP-ECM 7.0.5-dev on Wed Sep 28 05:02:28 2022 
Input number is 217088133374752431554464977627057471744788591582854500828836521635167883795856183368673296161545911752912213464979669720875414488215215520618223584933755385157814033627095614431209569451418426448734159361334497009672378159838196878179259693700517399 (249 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2687391840
Step 1 took 0ms
Step 2 took 8992ms
********** Factor found in step 2: 184895249467637377448246668605839689
Found prime factor of 36 digits: 184895249467637377448246668605839689
Composite cofactor 1174114175457762885614146850245309707675783463702423173655417567067097615336951804906906896438765910553978072896906687243366257274921298047136697904444343966273713686443699312198486845097549044547668311215249591391 has 214 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 28, 2022 20:59:26 UTC 2022 年 9 月 29 日 (木) 5 時 59 分 26 秒 (日本時間)

49×10297-229

c286

composite cofactor 合成数の残り
4196011085265254343351319272284501021206362589986876228730298871829907054492680555197069070179060854566506697777161151122497744809038673579538729125025947432566716787359176065736510181425701930009348205859223011108180776742988038863664627790357783524880288842168774661408065582936023621<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:04:48 UTC 2022 年 11 月 3 日 (木) 23 時 4 分 48 秒 (日本時間)

49×10299-229

c275

composite cofactor 合成数の残り
19778112083692372063223021179429529550742405628540388908702617787992975153523423223264323768530146553444677272304354309833295831548806937305026009986023176869575555923415830136569387658380097604808919493086795065440259444357222192890293014910181002038455648162245397218480283<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:04:53 UTC 2022 年 11 月 3 日 (木) 23 時 4 分 53 秒 (日本時間)

49×10300-229

c300

composite cofactor 合成数の残り
907407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407<300>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 13, 2022 15:18:46 UTC 2022 年 9 月 14 日 (水) 0 時 18 分 46 秒 (日本時間)
4511e63584Dmitry DomanovSeptember 13, 2022 15:18:46 UTC 2022 年 9 月 14 日 (水) 0 時 18 分 46 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovSeptember 13, 2022 15:18:46 UTC 2022 年 9 月 14 日 (水) 0 時 18 分 46 秒 (日本時間)