471985317602525680015284159283063744867291905643919202184040606628782067026378982167<84>

264864485404555015036342693276741123<36>
1781987935761238521158527659776560888105534555229<49>

03/10/22 01:53:31, starting SIQS on c84: 471985317602525680015284159283063744867291905643919202184040606628782067026378982167
03/10/22 01:53:31, random seed: 6073561150044640671
03/10/22 01:53:32, ==== sieve params ====
03/10/22 01:53:32, n = 85 digits, 281 bits
03/10/22 01:53:32, factor base: 58144 primes (max prime = 1530611)
03/10/22 01:53:32, single large prime cutoff: 145408045 (95 * pmax)
03/10/22 01:53:32, double large prime range from 2342770033321 to 492786933499645
03/10/22 01:53:32, DLP MFB = 1.80
03/10/22 01:53:32, allocating 7 large prime slices of factor base
03/10/22 01:53:32, buckets hold 2048 elements
03/10/22 01:53:32, large prime hashtables have 802816 bytes
03/10/22 01:53:32, using AVX2 enabled 32k sieve core
03/10/22 01:53:32, sieve interval: 7 blocks of size 32768
03/10/22 01:53:32, polynomial A has ~ 11 factors
03/10/22 01:53:32, using multiplier of 5
03/10/22 01:53:32, using multiplier of 5 (kn mod 8 == 3)
03/10/22 01:53:32, using SPV correction of 21 bits, starting at offset 37
03/10/22 01:53:32, trial factoring cutoff at 88 bits
03/10/22 01:53:32, ==== sieving started ( 8 threads) ====
03/10/22 01:54:34, trial division touched 23955900 sieve locations out of 106190536704
03/10/22 01:54:34, total reports = 23955900, total surviving reports = 5242790
03/10/22 01:54:34, total blocks sieved = 3240678, avg surviving reports per block = 1.62
03/10/22 01:54:34, dlp-ecm: 1 failures, 366491 attempts, 2591962 outside range, 2038776 prp, 348080 useful
03/10/22 01:54:34, 59626 relations found: 20309 full + 39317 from 573332 partial, using 231477 polys (458 A polys)
03/10/22 01:54:34, on average, sieving found 2.56 rels/poly and 9445.85 rels/sec
03/10/22 01:54:34, trial division touched 23955900 sieve locations out of 106190536704
03/10/22 01:54:34, ==== post processing stage (msieve-1.38) ====
03/10/22 01:54:34, QS elapsed time = 62.8468 seconds.
03/10/22 01:54:35, begin singleton removal with 593641 relations
03/10/22 01:54:35, reduce to 125275 relations in 9 passes
03/10/22 01:54:38, recovered 125275 relations
03/10/22 01:54:38, recovered 96695 polynomials
03/10/22 01:54:38, attempting to build 59626 cycles
03/10/22 01:54:38, found 59626 cycles from 125275 relations in 5 passes
03/10/22 01:54:39, distribution of cycle lengths:
03/10/22 01:54:39,    length 1 : 20309
03/10/22 01:54:39,    length 2 : 14820
03/10/22 01:54:39,    length 3 : 10850
03/10/22 01:54:39,    length 4 : 6561
03/10/22 01:54:39,    length 5 : 3591
03/10/22 01:54:39,    length 6 : 1871
03/10/22 01:54:39,    length 7 : 906
03/10/22 01:54:39,    length 9+: 718
03/10/22 01:54:39, largest cycle: 16 relations
03/10/22 01:54:39, matrix is 58144 x 59626 (12.8 MB) with weight 2889447 (48.46/col)
03/10/22 01:54:39, sparse part has weight 2889447 (48.46/col)
03/10/22 01:54:40, filtering completed in 4 passes
03/10/22 01:54:40, matrix is 49356 x 49420 (10.6 MB) with weight 2390942 (48.38/col)
03/10/22 01:54:40, sparse part has weight 2390942 (48.38/col)
03/10/22 01:54:40, saving the first 48 matrix rows for later
03/10/22 01:54:40, matrix is 49308 x 49420 (8.8 MB) with weight 2028617 (41.05/col)
03/10/22 01:54:40, sparse part has weight 1824363 (36.92/col)
03/10/22 01:54:41, matrix includes 64 packed rows
03/10/22 01:54:41, using block size 19768 for processor cache size 12288 kB
03/10/22 01:54:41, commencing Lanczos iteration
03/10/22 01:54:41, memory use: 7.4 MB
03/10/22 01:54:51, lanczos halted after 781 iterations (dim = 49306)
03/10/22 01:54:51, recovered 17 nontrivial dependencies
03/10/22 01:54:51, prp36 = 264864485404555015036342693276741123
03/10/22 01:54:51, prp49 = 1781987935761238521158527659776560888105534555229
03/10/22 01:54:51, Lanczos elapsed time = 17.0670 seconds.
03/10/22 01:54:51, Sqrt elapsed time = 0.1650 seconds.
03/10/22 01:54:51, SIQS elapsed time = 80.0765 seconds.

134273163579996237256672838850938675132321521317212638069544712567427091972829913<81>

27080882698797494252118659492588895277<38>
4958226992577259444890524412944155551285469<43>

prp38 = 27080882698797494252118659492588895277
prp43 = 4958226992577259444890524412944155551285469

Yafu

363435971595761207596863565640240778749183088059026966325282145510465969974132705012859436554286384334531<105>

187457116191316337312418109474644268208042559751351<51>
1938768604680993274499051061140922210184272469110340181<55>

N=363435971595761207596863565640240778749183088059026966325282145510465969974132705012859436554286384334531
  ( 105 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=187457116191316337312418109474644268208042559751351 (pp51)
 r2=1938768604680993274499051061140922210184272469110340181 (pp55)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.48 hours.
Scaled time: 3.76 units (timescale=7.855).
Factorization parameters were as follows:
n: 363435971595761207596863565640240778749183088059026966325282145510465969974132705012859436554286384334531
m: 10000000000000000000000000000
deg: 4
c4: 105400
c0: -1
skew: 0.06
# Murphy_E = 5.805e-08
type: snfs
lss: 1
rlim: 620000
alim: 620000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 620000/620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [310000, 650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 76622 x 76848
Total sieving time: 0.47 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,117.000,4,0,0,0,0,0,0,0,0,620000,620000,25,25,45,45,2.2,2.2,20000
total time: 0.48 hours.

GNFS, Msieve

6077739561873916909832672981702967706845442454402035855837627194523979678497699076799234983<91>

10828746567709088711807226601337460641<38>
561259747272828936513583950009205329810599730499630663<54>

prp54 = 561259747272828936513583950009205329810599730499630663
prp38 = 10828746567709088711807226601337460641

Yafu

59317022738782387434123514184464255489245725544191968960226361088419240553463927873056271751342250985985265467747705179<119>

673268485978531589717018978342303733899446487039<48>
88103073252523838399143825606257275070983431855013555432300400113092261<71>

p48 factor: 673268485978531589717018978342303733899446487039
p71 factor: 88103073252523838399143825606257275070983431855013555432300400113092261

GNFS, Msieve

305851120398509593279138854062572249186171353134925707246611730209485386679261680082667804788721<96>

43991149806488910511800806689761854103503901763<47>
6952560270506842989039544052062320229107927886267<49>

prp49 = 6952560270506842989039544052062320229107927886267
prp47 = 43991149806488910511800806689761854103503901763

Yafu

299730241364168864521243064459448152840773217807002406427029597229471976807095150797807361617981<96>

200428118712995569440332498770925297429771318731<48>
1495450056054109135702039403932576842488050921751<49>

prp49 = 1495450056054109135702039403932576842488050921751
prp48 = 200428118712995569440332498770925297429771318731

Yafu

1256045587144954054751024851911903971016682491224951331379697594999969781406422985128364606693043283593<103>

135529216007629628843951978275560757<36>
9267710860765584747795786925047460129428733949010487836463838204549<67>

N=1256045587144954054751024851911903971016682491224951331379697594999969781406422985128364606693043283593
  ( 103 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=135529216007629628843951978275560757 (pp36)
 r2=9267710860765584747795786925047460129428733949010487836463838204549 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.14 hours.
Scaled time: 32.26 units (timescale=7.794).
Factorization parameters were as follows:
n: 1256045587144954054751024851911903971016682491224951331379697594999969781406422985128364606693043283593
m: 10000000000000000000000000000000000
deg: 4
c4: 1054
c0: -1
skew: 0.18
# Murphy_E = 5.727e-09
type: snfs
lss: 1
rlim: 1450000
alim: 1450000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1450000/1450000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [725000, 1125001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 196612 x 196839
Total sieving time: 4.11 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,139.000,4,0,0,0,0,0,0,0,0,1450000,1450000,26,26,48,48,2.3,2.3,100000
total time: 4.14 hours.

GNFS, Msieve

5353584026759577273224939266998185730740932258796188682743884442206411462830833185362056432073627<97>

928338775064705049610912975021729290378629<42>
5766843064792196584290267051484974751092405554965180063<55>

prp55 = 5766843064792196584290267051484974751092405554965180063
prp42 = 928338775064705049610912975021729290378629

Yafu

3413825368737459326278811446551226304259300219157154672697006384171757040748796923730199<88>

5062637183761326513712385802682364816494157<43>
674317602629610255587204767208347292971032307<45>

prp43 = 5062637183761326513712385802682364816494157
prp45 = 674317602629610255587204767208347292971032307

Yafu

14850652462553472945593452457259343769735917853427255541319649701756988355717925046102907836775422721740779668038079<116>

2545044379463724332145311164654196654474270639497396033<55>
5835125148459182696688020425574723108110819060763611705336063<61>

N=14850652462553472945593452457259343769735917853427255541319649701756988355717925046102907836775422721740779668038079
  ( 116 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=2545044379463724332145311164654196654474270639497396033 (pp55)
 r2=5835125148459182696688020425574723108110819060763611705336063 (pp61)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.09 hours.
Scaled time: 47.85 units (timescale=7.855).
Factorization parameters were as follows:
n: 14850652462553472945593452457259343769735917853427255541319649701756988355717925046102907836775422721740779668038079
m: 100000000000000000000000000000000000
deg: 4
c4: 1054
c0: -1
skew: 0.18
# Murphy_E = 3.611e-09
type: snfs
lss: 1
rlim: 1690000
alim: 1690000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1690000/1690000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [845000, 1445001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 228054 x 228278
Total sieving time: 6.05 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,143.000,4,0,0,0,0,0,0,0,0,1690000,1690000,26,26,48,48,2.3,2.3,100000
total time: 6.09 hours.

GNFS, Msieve

736547868623340321453529000698812019566736547868623340321453529000698812019566736547868623340321453529000698812019566736547868623340321453529<141>

497687657792115418546627915107313679<36>
1479939992667041438679243805318168637316750133544333454036070762826543499041952215578753870441619291872151<106>

N=736547868623340321453529000698812019566736547868623340321453529000698812019566736547868623340321453529000698812019566736547868623340321453529
  ( 141 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=497687657792115418546627915107313679 (pp36)
 r2=1479939992667041438679243805318168637316750133544333454036070762826543499041952215578753870441619291872151 (pp106)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.63 hours.
Scaled time: 28.06 units (timescale=7.722).
Factorization parameters were as follows:
n: 736547868623340321453529000698812019566736547868623340321453529000698812019566736547868623340321453529000698812019566736547868623340321453529
m: 10000000000000000000000000000
deg: 5
c5: 10540
c0: -1
skew: 0.16
# Murphy_E = 2.672e-09
type: snfs
lss: 1
rlim: 1760000
alim: 1760000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1760000/1760000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [880000, 1680001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 245167 x 245393
Total sieving time: 3.59 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,144.000,5,0,0,0,0,0,0,0,0,1760000,1760000,26,26,49,49,2.3,2.3,100000
total time: 3.63 hours.

GNFS, Msieve

147014059672755450155326713612921560972547506666042070582514736469105141321580256648700973217819<96>

189546532517186438030301065539435457933985281<45>
775609333077224656782744646634371064119422724675099<51>

prp51 = 775609333077224656782744646634371064119422724675099
prp45 = 189546532517186438030301065539435457933985281

Yafu

6156257976413471574617760044951196761364399656791538240933975593415958025301402563783563725739291235976844526450006103690308683185764208310481<142>

30901814702417982725496005613763708384934765945258537070278982023<65>
199219949886365773114882721726073220483689091915228127043880171149383732719847<78>

Number: n
N=6156257976413471574617760044951196761364399656791538240933975593415958025301402563783563725739291235976844526450006103690308683185764208310481  ( 142 digits)
SNFS difficulty: 148 digits.
Divisors found:

Sat Mar 12 01:11:20 2022  p65 factor: 30901814702417982725496005613763708384934765945258537070278982023
Sat Mar 12 01:11:20 2022  p78 factor: 199219949886365773114882721726073220483689091915228127043880171149383732719847
Sat Mar 12 01:11:20 2022  elapsed time 00:04:46 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.287).
Factorization parameters were as follows:
#
# N = 527x10^146-5 = 585(146)
#
n: 6156257976413471574617760044951196761364399656791538240933975593415958025301402563783563725739291235976844526450006103690308683185764208310481
m: 100000000000000000000000000000
deg: 5
c5: 1054
c0: -1
skew: 0.25
# Murphy_E = 1.655e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1714014 hash collisions in 12107127 relations (10810941 unique)
Msieve: matrix is 507255 x 507488 (60.2 MB)

Sieving start time : 2022/03/12 01:02:00
Sieving end time  : 2022/03/12 01:06:14

Total sieving time: 0hrs 4min 14secs.

Total relation processing time: 0hrs 1min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 14sec.

Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

78899469024459705363317494379404969881489151755213304179087114407948965211458281894171253712938124486554463670802584867416049919357<131>

36620450314991612494997309364766995917448936318489088031989017677<65>
2154519355873676574290735306233202972860471246643561584216546489841<67>

N=78899469024459705363317494379404969881489151755213304179087114407948965211458281894171253712938124486554463670802584867416049919357
  ( 131 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=36620450314991612494997309364766995917448936318489088031989017677 (pp65)
 r2=2154519355873676574290735306233202972860471246643561584216546489841 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 12.58 hours.
Scaled time: 98.39 units (timescale=7.819).
Factorization parameters were as follows:
n: 78899469024459705363317494379404969881489151755213304179087114407948965211458281894171253712938124486554463670802584867416049919357
m: 10000000000000000000000000000000000000
deg: 4
c4: 527
c0: -5
skew: 0.31
# Murphy_E = 1.26e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 2350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 377889 x 378117
Total sieving time: 12.51 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,150.000,4,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 12.58 hours.

GNFS, Msieve

3808559409866315415245807732078557198005190358077649148206590988582616548871021664531339425048474116265649077131033<115>

6872332993944464416280657213324848430904130173086257<52>
554187262640244019637555766090530559485933918620042214887364969<63>

N=3808559409866315415245807732078557198005190358077649148206590988582616548871021664531339425048474116265649077131033
  ( 115 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=6872332993944464416280657213324848430904130173086257 (pp52)
 r2=554187262640244019637555766090530559485933918620042214887364969 (pp63)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.97 hours.
Scaled time: 70.91 units (timescale=7.905).
Factorization parameters were as follows:
n: 3808559409866315415245807732078557198005190358077649148206590988582616548871021664531339425048474116265649077131033
m: 1000000000000000000000000000000
deg: 5
c5: 1054
c0: -1
skew: 0.25
# Murphy_E = 1.069e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 464285 x 464511
Total sieving time: 8.88 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 8.97 hours.

GNFS, Msieve

625263717311333029636976249230901722796834622085291533416975739508090521914881982793300712824218205623100612575575565361767<123>

358639788808029623495947500574401496142163539349786886296821<60>
1743430976773244004604753737888208052114741998118731444850155627<64>

N=625263717311333029636976249230901722796834622085291533416975739508090521914881982793300712824218205623100612575575565361767
  ( 123 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=358639788808029623495947500574401496142163539349786886296821 (pp60)
 r2=1743430976773244004604753737888208052114741998118731444850155627 (pp64)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.37 hours.
Scaled time: 73.93 units (timescale=7.886).
Factorization parameters were as follows:
n: 625263717311333029636976249230901722796834622085291533416975739508090521914881982793300712824218205623100612575575565361767
m: 1000000000000000000000000000000
deg: 5
c5: 10540
c0: -1
skew: 0.16
# Murphy_E = 1.12e-09
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 384162 x 384388
Total sieving time: 9.30 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 9.37 hours.

GNFS, Msieve

61878754041346044896734692200165440539742422347740985163776153900797907159559709768682657686615226283088841804675661982315827047121199578942671741429<149>

1551788090984386045319135857441482968658011603<46>
39875775823290980168569843476078757383414247091992654245663936467387233079702068497467783010065968747543<104>

N=61878754041346044896734692200165440539742422347740985163776153900797907159559709768682657686615226283088841804675661982315827047121199578942671741429
  ( 149 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=1551788090984386045319135857441482968658011603 (pp46)
 r2=39875775823290980168569843476078757383414247091992654245663936467387233079702068497467783010065968747543 (pp104)
Version: Msieve v. 1.52 (SVN 927)
Total time: 16.35 hours.
Scaled time: 127.32 units (timescale=7.788).
Factorization parameters were as follows:
n: 61878754041346044896734692200165440539742422347740985163776153900797907159559709768682657686615226283088841804675661982315827047121199578942671741429
m: 100000000000000000000000000000000000000
deg: 4
c4: 1054
c0: -1
skew: 0.18
# Murphy_E = 8.815e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 485656 x 485883
Total sieving time: 16.26 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,155.000,4,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 16.35 hours.

GNFS, Msieve

3431236227906848712430769946000721050405345757251901667679026849903474613001452174777388541514534392169479949063827111048885969368985473<136>

19004497758773144427378283850572610561581091121086253046663<59>
180548640193496795559696740607931323714667646206984598041903503724085987634871<78>

N=3431236227906848712430769946000721050405345757251901667679026849903474613001452174777388541514534392169479949063827111048885969368985473
  ( 136 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=19004497758773144427378283850572610561581091121086253046663 (pp59)
 r2=180548640193496795559696740607931323714667646206984598041903503724085987634871 (pp78)
Version: Msieve v. 1.52 (SVN 927)
Total time: 15.34 hours.
Scaled time: 119.54 units (timescale=7.794).
Factorization parameters were as follows:
n: 3431236227906848712430769946000721050405345757251901667679026849903474613001452174777388541514534392169479949063827111048885969368985473
m: 10000000000000000000000000000000
deg: 5
c5: 527
c0: -5
skew: 0.39
# Murphy_E = 6.232e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 514339 x 514565
Total sieving time: 15.23 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 15.34 hours.

GNFS, Msieve

156620277984554223903929302324236683214620053423858031493990414066314376987451542141779813439601694213716823787320861160443<123>

18879749142887983839940441359670738097<38>
8295675795223857845493477296010841245010907746907223722548472501783685457232231347819<85>

N=156620277984554223903929302324236683214620053423858031493990414066314376987451542141779813439601694213716823787320861160443
  ( 123 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=18879749142887983839940441359670738097 (pp38)
 r2=8295675795223857845493477296010841245010907746907223722548472501783685457232231347819 (pp85)
Version: Msieve v. 1.52 (SVN 927)
Total time: 20.55 hours.
Scaled time: 162.18 units (timescale=7.893).
Factorization parameters were as follows:
n: 156620277984554223903929302324236683214620053423858031493990414066314376987451542141779813439601694213716823787320861160443
m: 10000000000000000000000000000000
deg: 5
c5: 1054000
c0: -1
skew: 0.06
# Murphy_E = 3.819e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 703023 x 703249
Total sieving time: 20.34 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 20.55 hours.

GNFS, Msieve

11711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<164>

60890683377673352223072606011055941540462638792662589<53>
192330098160882153437138104271529725427854922759652804532552041842151772656077128639392068349222344790424073299<111>

Number: n
N=11711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111  ( 164 digits)
SNFS difficulty: 164 digits.
Divisors found:

Sat Mar 12 02:45:35 2022  p53 factor: 60890683377673352223072606011055941540462638792662589
Sat Mar 12 02:45:35 2022  p111 factor: 192330098160882153437138104271529725427854922759652804532552041842151772656077128639392068349222344790424073299
Sat Mar 12 02:45:35 2022  elapsed time 00:09:20 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 527x10^162-5 = 585(162)
#
n: 11711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 100000000000000000000000000000000
deg: 5
c5: 10540
c0: -1
skew: 0.16
# Murphy_E = 4.604e-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 2033077 hash collisions in 18914120 relations (17647673 unique)
Msieve: matrix is 433774 x 434004 (146.1 MB)

Sieving start time : 2022/03/12 01:25:20
Sieving end time  : 2022/03/12 02:18:25

Total sieving time: 0hrs 53min 5secs.

Total relation processing time: 0hrs 2min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 0sec.

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) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

39773107705079389659659721080552180306699803343766386892525304436498676221631270635758677102651512802171998850408491<116>

3029189374363462370034893360269590713801034700899503<52>
13129950884446469272725325199170672703744904630701001439595868997<65>

39773107705079389659659721080552180306699803343766386892525304436498676221631270635758677102651512802171998850408491=3029189374363462370034893360269590713801034700899503*13129950884446469272725325199170672703744904630701001439595868997

cado polynomial
n: 39773107705079389659659721080552180306699803343766386892525304436498676221631270635758677102651512802171998850408491
skew: 16717.282
c0: -92315477440443455394264410
c1: 12421222112643359843187
c2: 3203952827338162296
c3: -72534935034801
c4: -4064731048
c5: 94560
Y0: -21758032517913972776547
Y1: 144866454030541687
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 9.761e-07
# f(x) = 94560*x^5-4064731048*x^4-72534935034801*x^3+3203952827338162296*x^2+12421222112643359843187*x-92315477440443455394264410
# g(x) = 144866454030541687*x-21758032517913972776547

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
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: 13129950884446469272725325199170672703744904630701001439595868997 3029189374363462370034893360269590713801034700899503
Info:Square Root: Total cpu/real time for sqrt: 274.36/80.9153
Info:Filtering - Singleton removal: Total cpu/real time for purge: 87.64/101.658
Info:Generate Free Relations: Total cpu/real time for freerel: 64/16.7904
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7178074
Info:Lattice Sieving: Average J: 1899.51 for 156598 special-q, max bucket fill -bkmult 1.0,1s:1.245870
Info:Lattice Sieving: Total time: 20981.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.22/1.13419
Info:Linear Algebra: Total cpu/real time for bwc: 2743.81/707.45
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1703.75, WCT time 436.13, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14208 iterations)
Info:Linear Algebra: Lingen CPU time 69.26, WCT time 17.64
Info:Linear Algebra: Mksol: CPU time 932.27,  WCT time 238.12, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7040 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 28.52/30.8346
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 488.59
Info:Polynomial Selection (root optimized): Rootsieve time: 487.36
Info:Filtering - Merging: Merged matrix has 450187 rows and total weight 70247031 (156.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 73.1/21.5707
Info:Filtering - Merging: Total cpu/real time for replay: 15.2/12.4038
Info:Quadratic Characters: Total cpu/real time for characters: 16.37/6.38895
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21424/33.650/41.268/46.230/1.094
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16951/32.960/36.532/41.690/0.858
Info:Polynomial Selection (size optimized): Total time: 2163.83
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 114.51/127.513
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 92.70000000000002s
Info:Square Root: Total cpu/real time for sqrt: 274.36/80.9153
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 45538.3/6736.06
Info:root: Cleaning up computation data in /tmp/cado.dnl_l2jy
13129950884446469272725325199170672703744904630701001439595868997 3029189374363462370034893360269590713801034700899503

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

17615115268937509416902081661193331486739068500487188957920859900285781725198581363451954480242854479524649552577176107322726372783323300755849<143>

39599681240525565616537688783226604461886292049633794262667<59>
444829723803699037271768219936710535914816720237679847329336410849378782157489231547<84>

Number: n
N=17615115268937509416902081661193331486739068500487188957920859900285781725198581363451954480242854479524649552577176107322726372783323300755849  ( 143 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sun Mar 20 11:44:15 2022  p59 factor: 39599681240525565616537688783226604461886292049633794262667
Sun Mar 20 11:44:15 2022  p84 factor: 444829723803699037271768219936710535914816720237679847329336410849378782157489231547
Sun Mar 20 11:44:15 2022  elapsed time 00:12:29 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 527x10^164-5 = 585(164)
#
n: 17615115268937509416902081661193331486739068500487188957920859900285781725198581363451954480242854479524649552577176107322726372783323300755849
m: 100000000000000000000000000000000
deg: 5
c5: 1054000
c0: -1
skew: 0.06
# Murphy_E = 2.439e-10
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 43650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1764514 hash collisions in 15979681 relations (15213296 unique)
Msieve: matrix is 683879 x 684107 (228.4 MB)

Sieving start time : 2022/03/20 06:43:04
Sieving end time  : 2022/03/20 11:30:51

Total sieving time: 4hrs 47min 47secs.

Total relation processing time: 0hrs 6min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 45sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

1607488543245305767930380060589272781579550134173272806641250999991453182294118960719068378485808281741154600097759853808865138177719863318249805399613<151>

65603970237031047023882959509006702894010374953833<50>
24502915561929469163961304541221184697897541383005102916933323564007371546916301870956588761715252661<101>

Number: n
N=1607488543245305767930380060589272781579550134173272806641250999991453182294118960719068378485808281741154600097759853808865138177719863318249805399613  ( 151 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sun Mar 13 08:23:34 2022  p50 factor: 65603970237031047023882959509006702894010374953833
Sun Mar 13 08:23:34 2022  p101 factor: 24502915561929469163961304541221184697897541383005102916933323564007371546916301870956588761715252661
Sun Mar 13 08:23:34 2022  elapsed time 00:09:47 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.297).
Factorization parameters were as follows:
#
# N = 527x10^166-5 = 585(166)
#
n: 1607488543245305767930380060589272781579550134173272806641250999991453182294118960719068378485808281741154600097759853808865138177719863318249805399613
m: 1000000000000000000000000000000000
deg: 5
c5: 1054
c0: -1
skew: 0.25
# Murphy_E = 2.801e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2262742 hash collisions in 19077385 relations (17539348 unique)
Msieve: matrix is 572065 x 572290 (192.0 MB)

Sieving start time : 2022/03/13 07:25:45
Sieving end time  : 2022/03/13 08:13:22

Total sieving time: 0hrs 47min 37secs.

Total relation processing time: 0hrs 4min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 30sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

1156943173996803740645852016052516693927096175715413267065188050045520293677959475471196529419004062452456934481116395569683350919140812046743119<145>

391497323862525572653564630150567720279<39>

2955175178676482488658852928841668992801397670895119191063682387212853310355469267058118262895423545045961<106>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2330989145
Step 1 took 5812ms
Step 2 took 3407ms
********** Factor found in step 2: 391497323862525572653564630150567720279
Found prime factor of 39 digits: 391497323862525572653564630150567720279
Composite cofactor 2955175178676482488658852928841668992801397670895119191063682387212853310355469267058118262895423545045961 has 106 digits
 

GMP-ECM

2955175178676482488658852928841668992801397670895119191063682387212853310355469267058118262895423545045961<106>

412402407637508174196179653795623583365451<42>
7165756367925986013480541627378630917204419197943224578541326011<64>

2955175178676482488658852928841668992801397670895119191063682387212853310355469267058118262895423545045961=412402407637508174196179653795623583365451*7165756367925986013480541627378630917204419197943224578541326011

cado polynomial
n: 2955175178676482488658852928841668992801397670895119191063682387212853310355469267058118262895423545045961
skew: 10592.042
c0: -2408024934168841847844864
c1: -233823761988607651854
c2: 202734910447933265
c3: -984711787702
c4: 147986670
c5: 23760
Y0: -164106856921326989321
Y1: 1160621105372843
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.036e-06
# f(x) = 23760*x^5+147986670*x^4-984711787702*x^3+202734910447933265*x^2-233823761988607651854*x-2408024934168841847844864
# g(x) = 1160621105372843*x-164106856921326989321

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
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: 7165756367925986013480541627378630917204419197943224578541326011 412402407637508174196179653795623583365451
Info:Square Root: Total cpu/real time for sqrt: 58.67/17.7381
Info:Filtering - Singleton removal: Total cpu/real time for purge: 37.79/41.9858
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4897798
Info:Lattice Sieving: Average J: 1891.44 for 52056 special-q, max bucket fill -bkmult 1.0,1s:1.322090
Info:Lattice Sieving: Total time: 4882.47s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.51/0.419885
Info:Linear Algebra: Total cpu/real time for bwc: 541.42/141.16
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 317.72, WCT time 81.59, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6912 iterations)
Info:Linear Algebra: Lingen CPU time 29.56, WCT time 7.56
Info:Linear Algebra: Mksol: CPU time 178.21,  WCT time 45.84, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3456 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.4/16.3446
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.72/19.7438
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 154.72
Info:Polynomial Selection (root optimized): Rootsieve time: 154.11
Info:Filtering - Merging: Merged matrix has 218583 rows and total weight 31825247 (145.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 28.65/8.79042
Info:Filtering - Merging: Total cpu/real time for replay: 6.83/5.49318
Info:Quadratic Characters: Total cpu/real time for characters: 8.07/3.09111
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9876/30.370/37.340/43.780/1.080
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7569/29.100/33.095/37.790/0.885
Info:Polynomial Selection (size optimized): Total time: 490.37
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 60.69/59.7458
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 45.5s
Info:Square Root: Total cpu/real time for sqrt: 58.67/17.7381
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 10225.7/2941.06
Info:root: Cleaning up computation data in /tmp/cado.9ytsxspu
7165756367925986013480541627378630917204419197943224578541326011 412402407637508174196179653795623583365451

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

6520753188837664936599159673433126169388240475014249945612923519472894896450850533688581285487904921453652458868002481995963555651204791169<139>

296369002867329102140845078642243601231261339047540374360577<60>
22002143023562788063773242712518121388801669733186820985404482123459658643597697<80>

N=6520753188837664936599159673433126169388240475014249945612923519472894896450850533688581285487904921453652458868002481995963555651204791169
  ( 139 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=296369002867329102140845078642243601231261339047540374360577 (pp60)
 r2=22002143023562788063773242712518121388801669733186820985404482123459658643597697 (pp80)
Version: Msieve v. 1.52 (SVN 927)
Total time: 42.75 hours.
Scaled time: 336.32 units (timescale=7.868).
Factorization parameters were as follows:
n: 6520753188837664936599159673433126169388240475014249945612923519472894896450850533688581285487904921453652458868002481995963555651204791169
m: 10000000000000000000000000000000000
deg: 5
c5: 1054
c0: -1
skew: 0.25
# Murphy_E = 1.775e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 5900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 898569 x 898806
Total sieving time: 42.51 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 42.75 hours.

GNFS, Msieve

34510208985380237828275257556350235422183575796329250611731502970443560726263992596211843762148000411300677820971558802978928673637755378740795833955539244183<158>

33212098074518791745008609734353909575832395386017869030885752991<65>
1039085483487036653903742861620237082292179117185060907820382289072407183203522952385223938313<94>

Number: n
N=34510208985380237828275257556350235422183575796329250611731502970443560726263992596211843762148000411300677820971558802978928673637755378740795833955539244183  ( 158 digits)
SNFS difficulty: 174 digits.
Divisors found:

Sun Mar 13 07:23:10 2022  p65 factor: 33212098074518791745008609734353909575832395386017869030885752991
Sun Mar 13 07:23:10 2022  p94 factor: 1039085483487036653903742861620237082292179117185060907820382289072407183203522952385223938313
Sun Mar 13 07:23:10 2022  elapsed time 00:17:07 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 527x10^172-5 = 585(172)
#
n: 34510208985380237828275257556350235422183575796329250611731502970443560726263992596211843762148000411300677820971558802978928673637755378740795833955539244183
m: 10000000000000000000000000000000000
deg: 5
c5: 10540
c0: -1
skew: 0.16
# Murphy_E = 1.856e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 66000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1608045 hash collisions in 16551217 relations (16065889 unique)
Msieve: matrix is 790980 x 791206 (271.6 MB)

Sieving start time : 2022/03/12 23:19:23
Sieving end time  : 2022/03/13 07:03:34

Total sieving time: 7hrs 44min 11secs.
Total relation processing time: 0hrs 8min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 44sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

179395884309529234426315135455722600651384347527035399183101004512313642881319496676336768690166909912474389561816341837341257791674807<135>

4820720904704203571778368473988344165422930799074023707<55>
37213497287193989506742143971281786385841855698336405291693484936463915039377301<80>

Number: n
N=179395884309529234426315135455722600651384347527035399183101004512313642881319496676336768690166909912474389561816341837341257791674807  ( 135 digits)
SNFS difficulty: 176 digits.
Divisors found:

Fri Jun 17 05:56:51 2022  p55 factor: 4820720904704203571778368473988344165422930799074023707
Fri Jun 17 05:56:51 2022  p80 factor: 37213497287193989506742143971281786385841855698336405291693484936463915039377301
Fri Jun 17 05:56:51 2022  elapsed time 00:25:45 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 527x10^174-5 = 585(174)
#
n: 179395884309529234426315135455722600651384347527035399183101004512313642881319496676336768690166909912474389561816341837341257791674807
m: 10000000000000000000000000000000000
deg: 5
c5: 1054000
c0: -1
skew: 0.06
# Murphy_E = 9.813e-11
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4157534 hash collisions in 28660416 relations (25913291 unique)
Msieve: matrix is 981585 x 981811 (332.8 MB)

Sieving start time : 2022/06/17 03:04:58
Sieving end time  : 2022/06/17 05:30:13

Total sieving time: 2hrs 25min 15secs.

Total relation processing time: 0hrs 14min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 5sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

51815645892209066701261842342988084115137047023774173360404110359509340429352866919954604683836644182757819464658651721364006505431107871958577013097194626897<158>

25627706019855243946933685730769702678980705181<47>
2021860476004544992186508610733227906537785565292249909343447867011264497827955992596760849026672587816862279237<112>

Number: n
N=51815645892209066701261842342988084115137047023774173360404110359509340429352866919954604683836644182757819464658651721364006505431107871958577013097194626897  ( 158 digits)
SNFS difficulty: 179 digits.
Divisors found:

Thu Mar 24 18:35:37 2022  p47 factor: 25627706019855243946933685730769702678980705181
Thu Mar 24 18:35:37 2022  p112 factor: 2021860476004544992186508610733227906537785565292249909343447867011264497827955992596760849026672587816862279237
Thu Mar 24 18:35:37 2022  elapsed time 00:21:36 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 527x10^177-5 = 585(177)
#
n: 51815645892209066701261842342988084115137047023774173360404110359509340429352866919954604683836644182757819464658651721364006505431107871958577013097194626897
m: 100000000000000000000000000000000000
deg: 5
c5: 10540
c0: -1
skew: 0.16
# Murphy_E = 1.17e-10
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4166405 hash collisions in 30748775 relations (28224622 unique)
Msieve: matrix is 863494 x 863719 (295.8 MB)

Sieving start time : 2022/03/24 16:13:57
Sieving end time  : 2022/03/24 18:13:06

Total sieving time: 1hrs 59min 9secs.

Total relation processing time: 0hrs 11min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 56sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

36742175468836257906444278571408666983678598761279181342111832188315436995290496237919390208951778227250514976661920602922356689079837<134>

2585672358927918159471339377829770011180410789983717565613<58>
14209911531123164426942413782036612353620807232523259678660248573770070969649<77>

Number: n
N=36742175468836257906444278571408666983678598761279181342111832188315436995290496237919390208951778227250514976661920602922356689079837  ( 134 digits)
SNFS difficulty: 181 digits.
Divisors found:

Fri Jun 17 00:44:59 2022  p58 factor: 2585672358927918159471339377829770011180410789983717565613
Fri Jun 17 00:44:59 2022  p77 factor: 14209911531123164426942413782036612353620807232523259678660248573770070969649
Fri Jun 17 00:44:59 2022  elapsed time 00:24:51 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 527x10^179-5 = 585(179)
#
n: 36742175468836257906444278571408666983678598761279181342111832188315436995290496237919390208951778227250514976661920602922356689079837
m: 100000000000000000000000000000000000
deg: 5
c5: 1054000
c0: -1
skew: 0.06
# Murphy_E = 6.181e-11
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3466159 hash collisions in 28982677 relations (27172941 unique)
Msieve: matrix is 976612 x 976838 (333.4 MB)

Sieving start time : 2022/06/16 21:48:59
Sieving end time  : 2022/06/17 00:19:15

Total sieving time: 2hrs 30min 16secs.

Total relation processing time: 0hrs 14min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 48sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

1026214640759828331797073774978629218615429697887907885903208675998125294064727148184143113744746368604053531321308207841685291371942745297975094680175854204111366023<166>

840286294897182962594116855473567794935151251<45>

1221267854767755642739993481040140836278365153920828733668464591937657356465915334505081369068809381758536777717265699773<121>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3794418464
Step 1 took 4875ms
********** Factor found in step 2: 840286294897182962594116855473567794935151251
Found prime factor of 45 digits: 840286294897182962594116855473567794935151251
Composite cofactor 1221267854767755642739993481040140836278365153920828733668464591937657356465915334505081369068809381758536777717265699773 has 121 digits
 

GMP-ECM

1221267854767755642739993481040140836278365153920828733668464591937657356465915334505081369068809381758536777717265699773<121>

124610994100379525306350282681999808010953<42>
9800642901411826958054942875229313897284240277332896827028265862463880603481941<79>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1917687323
Step 1 took 4812ms
Step 2 took 2860ms
********** Factor found in step 2: 124610994100379525306350282681999808010953
Found prime factor of 42 digits: 124610994100379525306350282681999808010953
Prime cofactor 9800642901411826958054942875229313897284240277332896827028265862463880603481941 has 79 digits

GMP-ECM

1565566917598132124773198837813945382591103777981657639843994868391173253910685256921049583<91>

606725364998316753127275427557693522187<39>
2580355145696728040210930712906985003936888526737709<52>

prp39 = 606725364998316753127275427557693522187
prp52 = 2580355145696728040210930712906985003936888526737709

Yafu

82663595470966698280394084495856808833698468787085141785751850144987162320094821261424977489267712461537801532816776838651884753113133357547335672713085161690894668485924566081023327<182>

103339126765553363472748404697720337321701232058742159058432431031086644861460769<81>
799925430553584267712030247610916478420900363255622559882919360966722165745003451740167903577135955583<102>

Number: n
N=82663595470966698280394084495856808833698468787085141785751850144987162320094821261424977489267712461537801532816776838651884753113133357547335672713085161690894668485924566081023327  ( 182 digits)
SNFS difficulty: 190 digits.
Divisors found:

Wed Mar 16 20:59:14 2022  p81 factor: 103339126765553363472748404697720337321701232058742159058432431031086644861460769
Wed Mar 16 20:59:14 2022  p102 factor: 799925430553584267712030247610916478420900363255622559882919360966722165745003451740167903577135955583
Wed Mar 16 20:59:14 2022  elapsed time 00:45:38 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 527x10^188-5 = 585(188)
#
n: 82663595470966698280394084495856808833698468787085141785751850144987162320094821261424977489267712461537801532816776838651884753113133357547335672713085161690894668485924566081023327
m: 10000000000000000000000000000000000000
deg: 5
c5: 105400
c0: -1
skew: 0.10
# Murphy_E = 2.925e-11
type: snfs
lss: 1
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 25250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5196833 hash collisions in 35478743 relations (32158175 unique)
Msieve: matrix is 1366552 x 1366777 (464.2 MB)

Sieving start time : 2022/03/16 13:07:31
Sieving end time  : 2022/03/16 20:12:50

Total sieving time: 7hrs 5min 19secs.

Total relation processing time: 0hrs 32min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 43sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10300000,10300000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

16069866744564753858023454580707799398447721345150399580278141145723676593312283364388931201001570950084048306786204220968598799469816392046331<143>

348141889624093628158164659050004055874591358119891<51>
46158957664980218731698860641912387685507961862231167834437985394785674629221403144582998841<92>

16069866744564753858023454580707799398447721345150399580278141145723676593312283364388931201001570950084048306786204220968598799469816392046331=348141889624093628158164659050004055874591358119891*46158957664980218731698860641912387685507961862231167834437985394785674629221403144582998841

cado polynomial
n: 16069866744564753858023454580707799398447721345150399580278141145723676593312283364388931201001570950084048306786204220968598799469816392046331
skew: 0.15
type: snfs
c0: -1
c6: 105400
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 105400*x^6-1
# g(x) = -x+10000000000000000000000000000000

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: 348141889624093628158164659050004055874591358119891 46158957664980218731698860641912387685507961862231167834437985394785674629221403144582998841
Info:Square Root: Total cpu/real time for sqrt: 672.18/199.128
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24154202
Info:Lattice Sieving: Average J: 1894.27 for 2053436 special-q, max bucket fill -bkmult 1.0,1s:1.206590
Info:Lattice Sieving: Total time: 373696s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.96/2.89287
Info:Quadratic Characters: Total cpu/real time for characters: 66.92/29.0759
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 421.21/417.425
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 343.40000000000003s
Info:Filtering - Merging: Merged matrix has 1905260 rows and total weight 324070519 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 520.65/144.03
Info:Filtering - Merging: Total cpu/real time for replay: 74.55/64.461
Info:Square Root: Total cpu/real time for sqrt: 672.18/199.128
Info:Linear Algebra: Total cpu/real time for bwc: 59567/15306.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 38127.08, WCT time 9735.36, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (59648 iterations)
Info:Linear Algebra: Lingen CPU time 383.61, WCT time 97.44
Info:Linear Algebra: Mksol: CPU time 20697.38,  WCT time 5335.3, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29952 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 187.24/48.054
Info:Filtering - Singleton removal: Total cpu/real time for purge: 300.97/350.517
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.85/111.919
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 111.4s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 758824/162523
348141889624093628158164659050004055874591358119891 46158957664980218731698860641912387685507961862231167834437985394785674629221403144582998841

cado-nfs-3.0.0

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)

1545986569729263540042617916857101409881126054732166779821441446092838762742699179985833267<91>

52833674786101998590187625312980344429<38>
29261386340969383576977215558102697773830550010926623<53>

prp53 = 29261386340969383576977215558102697773830550010926623
prp38 = 52833674786101998590187625312980344429

Yafu

280700052883333356853281312831991218055856239175178136561932728737372356546890200924452563350988072083834407662091953906232491471522051766846126793931057990843473566750208533846965257<183>

22835874727817693624316841997297916529292976396868755844222111<62>
12292064842228113252957335523746020198852636337023874100562010989058533708558175333292275189740549257360076557752577625687<122>

Number: n
N=280700052883333356853281312831991218055856239175178136561932728737372356546890200924452563350988072083834407662091953906232491471522051766846126793931057990843473566750208533846965257  ( 183 digits)
SNFS difficulty: 193 digits.
Divisors found:

Mon Apr  4 00:23:30 2022  p62 factor: 22835874727817693624316841997297916529292976396868755844222111
Mon Apr  4 00:23:30 2022  p122 factor: 12292064842228113252957335523746020198852636337023874100562010989058533708558175333292275189740549257360076557752577625687
Mon Apr  4 00:23:30 2022  elapsed time 00:48:14 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 527x10^191-5 = 585(191)
#
n: 280700052883333356853281312831991218055856239175178136561932728737372356546890200924452563350988072083834407662091953906232491471522051766846126793931057990843473566750208533846965257
m: 100000000000000000000000000000000000000
deg: 5
c5: 1054
c0: -1
skew: 0.25
# Murphy_E = 2.735e-11
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3709900 hash collisions in 30534572 relations (28578558 unique)
Msieve: matrix is 1401524 x 1401749 (485.0 MB)

Sieving start time : 2022/04/03 18:18:47
Sieving end time  : 2022/04/03 23:34:42

Total sieving time: 5hrs 15min 55secs.

Total relation processing time: 0hrs 36min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 46sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118659] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154096] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798228)
[    0.152007] smpboot: Total of 16 processors activated (102385.82 BogoMIPS)

122193268947552548587494573772750045068799800501323335515508266162736769700934136131509748893952163078944166376548853555128603614361316658105779121700878680066320505229834434314442733<183>

62085649786160270450966490145523024066403566579<47>
2207762091014616604517068371511330479840983693309161319627<58>
891463940245130529682513911470994477627643791797002817478231657954798924699901<78>

Number: n
N=122193268947552548587494573772750045068799800501323335515508266162736769700934136131509748893952163078944166376548853555128603614361316658105779121700878680066320505229834434314442733  ( 183 digits)
SNFS difficulty: 195 digits.
Divisors found:

Fri Apr  8 02:59:08 2022  found factor: 62085649786160270450966490145523024066403566579
Fri Apr  8 03:01:43 2022  p47 factor: 62085649786160270450966490145523024066403566579
Fri Apr  8 03:01:43 2022  p58 factor: 2207762091014616604517068371511330479840983693309161319627
Fri Apr  8 03:01:43 2022  p78 factor: 891463940245130529682513911470994477627643791797002817478231657954798924699901
Fri Apr  8 03:01:43 2022  elapsed time 01:12:22 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 527x10^193-5 = 585(193)
#
n: 122193268947552548587494573772750045068799800501323335515508266162736769700934136131509748893952163078944166376548853555128603614361316658105779121700878680066320505229834434314442733
m: 100000000000000000000000000000000000000
deg: 5
c5: 105400
c0: -1
skew: 0.10
# Murphy_E = 1.819e-11
type: snfs
lss: 1
rlim: 12500000
alim: 12500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12500000/12500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4025491 hash collisions in 29991738 relations (27559322 unique)
Msieve: matrix is 1672681 x 1672906 (578.8 MB)

Sieving start time : 2022/04/07 18:33:08
Sieving end time  : 2022/04/08 01:48:48

Total sieving time: 7hrs 15min 40secs.

Total relation processing time: 0hrs 58min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 11sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12500000,12500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118659] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154096] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798228)
[    0.152007] smpboot: Total of 16 processors activated (102385.82 BogoMIPS)

181533826036839631746481107453767719135908722686889654761499749309622855159265714888020293623009883955864070811699373317279067351622451913389855419500999374628197862526382878015848729388061<189>

349992570559909497126808334413309603069<39>

518679084377209168876483671237516050371325073009105268766128027156485975941316802811493452114176773432416107885851035384412221613124315902242026212769<150>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1980797493
Step 1 took 23071ms
Step 2 took 9898ms
********** Factor found in step 2: 349992570559909497126808334413309603069
Found prime factor of 39 digits: 349992570559909497126808334413309603069
Composite cofactor 518679084377209168876483671237516050371325073009105268766128027156485975941316802811493452114176773432416107885851035384412221613124315902242026212769 has 150 digits

518679084377209168876483671237516050371325073009105268766128027156485975941316802811493452114176773432416107885851035384412221613124315902242026212769<150>

493810534528565248741477621394106908743<39>
1050360508959950832458025744792243257825989226032540707234132732718612894846944505890065372313093983908733869783<112>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2815924186
Step 1 took 5781ms
Step 2 took 3312ms
********** Factor found in step 2: 493810534528565248741477621394106908743
Found prime factor of 39 digits: 493810534528565248741477621394106908743
Prime cofactor 1050360508959950832458025744792243257825989226032540707234132732718612894846944505890065372313093983908733869783 has 112 digits
 

GMP-ECM

58901025149768585123257021540680430140082227750801377174418759798658393452279235228430379302360948222630686857922530799447367387799445195926124396431901239505213878022597<170>

94251903421472444442150403100873786764615152761<47>
624931943139407927268140348872335470703463377501689614417856137812672911150571932111273755575984612388307103767068449660077<123>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 58901025149768585123257021540680430140082227750801377174418759798658393452279235228430379302360948222630686857922530799447367387799445195926124396431901239505213878022597 (170 digits)
Using B1=18500000, B2=70270355620, polynomial Dickson(12), sigma=1:1179492538
Step 1 took 41782ms
Step 2 took 18347ms
********** Factor found in step 2: 94251903421472444442150403100873786764615152761
Found prime factor of 47 digits: 94251903421472444442150403100873786764615152761
Prime cofactor 624931943139407927268140348872335470703463377501689614417856137812672911150571932111273755575984612388307103767068449660077 has 123 digits

10593677325001757254971231061020725220469149081796768971131554510444063513726236695157042140373794137029865845610451690943518398795862007932130446649812298269328798233034697069504249733<185>

54777070206451672230225464366536974084448698282184210478240740999<65>
193396201824500433946703164959866972385598329643209356961782463373064426483563632683326827442985457529820434493150597267<120>

Mon Mar 21 01:53:55 2022  Msieve v. 1.53 (SVN unknown)
Mon Mar 21 01:53:55 2022  random seeds: 32417cec 50aeab18
Mon Mar 21 01:53:56 2022  factoring 10593677325001757254971231061020725220469149081796768971131554510444063513726236695157042140373794137029865845610451690943518398795862007932130446649812298269328798233034697069504249733 (185 digits)
Mon Mar 21 01:53:57 2022  searching for 15-digit factors
Mon Mar 21 01:53:57 2022  commencing number field sieve (185-digit input)
Mon Mar 21 01:53:58 2022  R0: -10000000000000000000000000000000000000000
Mon Mar 21 01:53:58 2022  R1: 1
Mon Mar 21 01:53:58 2022  A0: -5
Mon Mar 21 01:53:58 2022  A1: 0
Mon Mar 21 01:53:58 2022  A2: 0
Mon Mar 21 01:53:58 2022  A3: 0
Mon Mar 21 01:53:58 2022  A4: 0
Mon Mar 21 01:53:58 2022  A5: 527
Mon Mar 21 01:53:58 2022  skew 0.39, size 2.965e-14, alpha 1.307, combined = 9.524e-12 rroots = 1
Mon Mar 21 01:53:58 2022  
Mon Mar 21 01:53:58 2022  commencing square root phase
Mon Mar 21 01:53:58 2022  reading relations for dependency 1
Mon Mar 21 01:53:58 2022  read 1713641 cycles
Mon Mar 21 01:54:01 2022  cycles contain 5646754 unique relations
Mon Mar 21 01:55:07 2022  read 5646754 relations
Mon Mar 21 01:55:39 2022  multiplying 5646754 relations
Mon Mar 21 01:59:26 2022  multiply complete, coefficients have about 181.80 million bits
Mon Mar 21 01:59:27 2022  initial square root is modulo 3344161
Mon Mar 21 02:04:35 2022  sqrtTime: 637
Mon Mar 21 02:04:35 2022  p65 factor: 54777070206451672230225464366536974084448698282184210478240740999
Mon Mar 21 02:04:35 2022  p120 factor: 193396201824500433946703164959866972385598329643209356961782463373064426483563632683326827442985457529820434493150597267
Mon Mar 21 02:04:35 2022  elapsed time 00:10:40

2999308281094420916542628748919219467076099421199551180704022338263575275509447409167947097588292303579024627732501400027079624582877457<136>

103792764495971517039699368877373449438398837<45>
28897084451496928081705082950440169093365001461269189509978417688705894749904033506670713261<92>

28897084451496928081705082950440169093365001461269189509978417688705894749904033506670713261 103792764495971517039699368877373449438398837

n: 2999308281094420916542628748919219467076099421199551180704022338263575275509447409167947097588292303579024627732501400027079624582877457
skew: 130925.986
c0: 4211091367850477645529358702410
c1: -16312394666980258348304527
c2: -326243121013061209647
c3: -7285246268364950
c4: -35333360376
c5: 131040
Y0: -170605279974407632545075772
Y1: 30396153650125008713
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.216e-07
# f(x) = 131040*x^5-35333360376*x^4-7285246268364950*x^3-326243121013061209647*x^2-16312394666980258348304527*x+4211091367850477645529358702410
# g(x) = 30396153650125008713*x-170605279974407632545075772

cado-nfs 3.0.0

55822140702830410271019670843211442458415550501904069916013100089998637283035783845866913343329415720669397502737747635940285562556626503854561185276703837115442252498583658825668460866534398911267<197>

241226653527990573403885644499682027005190528698264171332612545333328851<72>
231409505900031587967819354357146295470812170908943373205805985559506771155353975977205512373326055052344947270774402395240817<126>

Number: n
N=55822140702830410271019670843211442458415550501904069916013100089998637283035783845866913343329415720669397502737747635940285562556626503854561185276703837115442252498583658825668460866534398911267  ( 197 digits)
SNFS difficulty: 204 digits.
Divisors found:

Mon Aug  7 21:00:08 2023  prp72 factor: 241226653527990573403885644499682027005190528698264171332612545333328851
Mon Aug  7 21:00:08 2023  prp126 factor: 231409505900031587967819354357146295470812170908943373205805985559506771155353975977205512373326055052344947270774402395240817
Mon Aug  7 21:00:08 2023  elapsed time 02:32:14 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.094).
Factorization parameters were as follows:
#
# N = 527x10^202-5 = 585(202)
#
n: 55822140702830410271019670843211442458415550501904069916013100089998637283035783845866913343329415720669397502737747635940285562556626503854561185276703837115442252498583658825668460866534398911267
m: 10000000000000000000000000000000000000000
deg: 5
c5: 10540
c0: -1
skew: 0.16
# Murphy_E = 1.092e-11
type: snfs
lss: 1
rlim: 17600000
alim: 17600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17600000/17600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2848514 hash collisions in 18123426 relations (15767270 unique)
Msieve: matrix is 2137905 x 2138130 (607.9 MB)

Sieving start time: 2023/08/07 05:00:56
Sieving end time  : 2023/08/07 18:27:31

Total sieving time: 13hrs 26min 35secs.

Total relation processing time: 2hrs 16min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 13sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17600000,17600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1483306302672117837060163760711275801691523960665479587143628220631288115816277671865268521941818808650745023118196289730889850050987435008588653<145>

55964521201762535965977746022217811303<38>

26504404412297605273297146820731484002970891382273534861672242713572732437519249463161095513676262683197451<107>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2133226370
Step 1 took 5073ms
Step 2 took 2812ms
********** Factor found in step 2: 55964521201762535965977746022217811303
Found prime factor of 38 digits: 55964521201762535965977746022217811303
Composite cofactor 26504404412297605273297146820731484002970891382273534861672242713572732437519249463161095513676262683197451 has 107 digits

26504404412297605273297146820731484002970891382273534861672242713572732437519249463161095513676262683197451<107>

147581835787324791846911831696410195333627958456207<51>
179591236759598308111678841519047769161704218562592778693<57>

prp57 = 179591236759598308111678841519047769161704218562592778693
prp51 = 147581835787324791846911831696410195333627958456207

Yafu

3002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849<205>

11208720872648654753175185034991090034766334719323447<53>
267902915682065737621678749894760719721818082087529385398577512712850710707775700053540954510273944192806627094120461834258774079354207256086296717577767<153>

N=3002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849
  ( 205 digits)
SNFS difficulty: 207 digits.
Divisors found:
 r1=11208720872648654753175185034991090034766334719323447 (pp53)
 r2=267902915682065737621678749894760719721818082087529385398577512712850710707775700053540954510273944192806627094120461834258774079354207256086296717577767 (pp153)
Version: Msieve v. 1.52 (SVN 927)
Total time: 672.25 hours.
Scaled time: 5280.53 units (timescale=7.855).
Factorization parameters were as follows:
n: 3002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849
m: 10000000000000000000000000000000000
deg: 6
c6: 1054
c0: -1
skew: 0.31
# Murphy_E = 6.887e-12
type: snfs
lss: 1
rlim: 19700000
alim: 19700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 19700000/19700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [9850000, 24150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3602685 x 3602911
Total sieving time: 668.91 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.96 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,207.000,6,0,0,0,0,0,0,0,0,19700000,19700000,29,29,56,56,2.6,2.6,100000
total time: 672.25 hours.

GNFS, Msieve

517704695366909054918701978333539360025141514479465524914733015021861432243284279121615475000532726753275114810114967803340045778672940324005708765171913395443598708921250024962291967<183>

30599038835271064960586690585743482371211291797264639239408018073391815118325450741659531492106294010229861944430536102116078984241041684169783567356512834923235523<164>

102470813604485457620354361300731651032193573380506265195816807472378471579908152417363681414043137492501297568469071321939305952512758143<138>

9849432179064313273601496223405038161403983323848351403287111574951<67>
10403728026301317995330834222203412977062914207097431988856469879922793<71>

102470813604485457620354361300731651032193573380506265195816807472378471579908152417363681414043137492501297568469071321939305952512758143=
9849432179064313273601496223405038161403983323848351403287111574951*10403728026301317995330834222203412977062914207097431988856469879922793

cado polynomial
n: 102470813604485457620354361300731651032193573380506265195816807472378471579908152417363681414043137492501297568469071321939305952512758143
skew: 218743.979
c0: 10495145900251782234657038549220
c1: -308462915060282006190677794
c2: -9273206659698385492091
c3: 6025024783214607
c4: -8795717388
c5: 120960
Y0: -279272612569611572019581369
Y1: 10437604990026433069
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 3.279e-07
# f(x) = 120960*x^5-8795717388*x^4+6025024783214607*x^3-9273206659698385492091*x^2-308462915060282006190677794*x+10495145900251782234657038549220
# g(x) = 10437604990026433069*x-279272612569611572019581369

cado parameters (extracts)
tasks.lim0 = 9457107
tasks.lim1 = 12662444
tasks.lpb0 = 28
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 58
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 9849432179064313273601496223405038161403983323848351403287111574951 10403728026301317995330834222203412977062914207097431988856469879922793
Info:Square Root: Total cpu/real time for sqrt: 629.77/187.931
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 383.19/321.927
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 299.79999999999995s
Info:Square Root: Total cpu/real time for sqrt: 629.77/187.931
Info:Filtering - Singleton removal: Total cpu/real time for purge: 159.81/141.462
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32858595
Info:Lattice Sieving: Average J: 3788.85 for 666492 special-q, max bucket fill -bkmult 1.0,1s:1.126050
Info:Lattice Sieving: Total time: 235726s
Info:Generate Factor Base: Total cpu/real time for makefb: 11.32/3.02059
Info:Linear Algebra: Total cpu/real time for bwc: 41523.9/10686.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 26372.33, WCT time 6771.56, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50176 iterations)
Info:Linear Algebra: Lingen CPU time 324.55, WCT time 82.47
Info:Linear Algebra: Mksol: CPU time 14538.46,  WCT time 3723.24, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (25088 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 497.93/125.644
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 144.82/168.109
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 168.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6478.6
Info:Polynomial Selection (root optimized): Rootsieve time: 6476.07
Info:Filtering - Merging: Merged matrix has 1601130 rows and total weight 272412900 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 393.33/111.398
Info:Filtering - Merging: Total cpu/real time for replay: 62.67/52.9096
Info:Quadratic Characters: Total cpu/real time for characters: 61.93/25.008
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66366/40.390/49.281/55.370/0.951
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54423/39.460/43.882/49.930/0.944
Info:Polynomial Selection (size optimized): Total time: 23464.8
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 524017/75220.1
Info:root: Cleaning up computation data in /tmp/cado.sk_nm2ph
9849432179064313273601496223405038161403983323848351403287111574951 10403728026301317995330834222203412977062914207097431988856469879922793

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

21990178068622002580750498388521471635020737635596794141641025651439632141758576727457076144838569628904692613611887518238988286635016138566150710236761339300775402840867853426637168893932944551526949<200>

410325859320198067749066256186812146712445892857546630312253747582240002800410181247738204829280864590908495430516567675960953819873892292167488269805666768248493719828449<171>

644286872828843822232784191424424877726413277102600313380177999480414633638528036043148621025669175529327680209282408139302127746964459817443889644652522259<156>

349954788103335417374880375132203579<36>
1841057458652622810612263560190117982514536248486404698236366012094804943667001808402289647850265895189688855047175494921<121>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4120881342
Step 1 took 6413ms
Step 2 took 3243ms
********** Factor found in step 2: 349954788103335417374880375132203579
Found prime factor of 36 digits: 349954788103335417374880375132203579
Prime cofactor 1841057458652622810612263560190117982514536248486404698236366012094804943667001808402289647850265895189688855047175494921 has 121 digits

2612341721495733534972202369075126156793709488082376711690329863862323719545933767215056685258248165963277469814325659639553293651088745736968832813085019735229026922774129688056623879685742260750744330299<205>

1261612159077636444773810796874059568935859010975768411078935945427357767497709340467205788025160253760111417279371357110393228404020160113052940720380494526954350121219403963357353<181>

3152919461925389913931738358157686345850577<43>

400140940583115660564295195444240494753750763920640217078258046741225687449703038468891465340716826097937433231736948411110391426014528089<138>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1176856016
Step 1 took 36672ms
Step 2 took 13119ms
********** Factor found in step 2: 3152919461925389913931738358157686345850577
Found probable prime factor of 43 digits: 3152919461925389913931738358157686345850577
Composite cofactor 400140940583115660564295195444240494753750763920640217078258046741225687449703038468891465340716826097937433231736948411110391426014528089 has 138 digits

400140940583115660564295195444240494753750763920640217078258046741225687449703038468891465340716826097937433231736948411110391426014528089<138>

3672890569053036642160676216063510570773635114382610973493789<61>
108944422127523945359482898358877214766997661890226817862893054278350822638701<78>

Info:Linear Algebra: Total cpu/real time for bwc: 216865/4095.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 139260.44, WCT time 2707.0, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (51456 iterations)
Info:Linear Algebra: Lingen CPU time 20189.15, WCT time 152.94
Info:Linear Algebra: Mksol: CPU time 56986.32,  WCT time 1209.91, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (25856 iterations)
Info:Quadratic Characters: Starting
Info:Complete Factorization / Discrete logarithm: Quadratic Characters
Info:Quadratic Characters: Total cpu/real time for characters: 100.53/12.2633
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 3672890569053036642160676216063510570773635114382610973493789 108944422127523945359482898358877214766997661890226817862893054278350822638701
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 3501.25/133.687
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 448.62/97.1615
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 76.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 187.13/63.115
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 20170.7
Info:Polynomial Selection (root optimized): Rootsieve time: 20162.4
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 276.73/124.609
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 124.5s
Info:Filtering - Merging: Total cpu/real time for merge: 1668.73/22.8653
Info:Filtering - Merging: Total cpu/real time for replay: 53.97/41.1022
Info:Generate Free Relations: Total cpu/real time for freerel: 477.08/14.8642
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 140889
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 97459/40.490/49.536/54.830/0.970
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 75990/39.640/43.819/50.030/0.695
Info:Polynomial Selection (size optimized): Total time: 151752
Info:Generate Factor Base: Total cpu/real time for makefb: 14.1/0.69812
Info:Quadratic Characters: Total cpu/real time for characters: 100.53/12.2633
Info:Square Root: Total cpu/real time for sqrt: 3501.25/133.687
Info:Linear Algebra: Total cpu/real time for bwc: 216865/4095.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 139260.44, WCT time 2707.0, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (51456 iterations)
Info:Linear Algebra: Lingen CPU time 20189.15, WCT time 152.94
Info:Linear Algebra: Mksol: CPU time 56986.32,  WCT time 1209.91, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (25856 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32837160
Info:Lattice Sieving: Average J: 3806.55 for 693086 special-q, max bucket fill -bkmult 1.0,1s:1.215470
Info:Lattice Sieving: Total time: 580375s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.53546e+06/14458.1
Info:root: Cleaning up computation data in /tmp/cado.9cd7048k
3672890569053036642160676216063510570773635114382610973493789 108944422127523945359482898358877214766997661890226817862893054278350822638701

878989056972362073008892784828583494548808007735083686425697687744146247073284385801930609062867709987814968330170219491648554425813604217545611815883953222727605069896463420303721358707625825430039579284380533<210>

82006320342028826738511845586681485506518397<44>

10718552586023956539887131495395916126352062804335932286102496675953532427695902925210422757477551161519501801856769987265784197432706464235345550018111928603894265689<167>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:94511688
Step 1 took 36578ms
Step 2 took 14750ms
********** Factor found in step 2: 82006320342028826738511845586681485506518397
Found prime factor of 44 digits: 82006320342028826738511845586681485506518397
Composite cofactor 10718552586023956539887131495395916126352062804335932286102496675953532427695902925210422757477551161519501801856769987265784197432706464235345550018111928603894265689 has 167 digits
 

GMP-ECM

194602333137636473368662179734190750022950180690056353465282478230529177028537178476850750707671895165293465807529925812373672993708823021476700652240663979927433209516699690049037202776549<189>

112707346647006886443740273591136977315964451350299031544260336763023897331747715614203611941722251675634223285280535073523321136854002595421731047410545703498810487163502065020380838086608129<192>

295255208057853271968549676506822278933<39>

381728564208502090166083791101607460956277111980329870338582204479558713305812933910300870340934244875381401135146984855389903528026208401405569156254013<153>

Resuming ECM residue saved by @a2ab8514e5b3 with GMP-ECM 7.0.5-dev on Wed Mar 16 00:14:56 2022 
Input number is 112707346647006886443740273591136977315964451350299031544260336763023897331747715614203611941722251675634223285280535073523321136854002595421731047410545703498810487163502065020380838086608129 (192 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1012911304
Step 1 took 1ms
Step 2 took 4502ms
********** Factor found in step 2: 295255208057853271968549676506822278933
Found prime factor of 39 digits: 295255208057853271968549676506822278933
Composite cofactor 381728564208502090166083791101607460956277111980329870338582204479558713305812933910300870340934244875381401135146984855389903528026208401405569156254013 has 153 digits

394833725989023835729697799242064980229555938600737150805245359272819547989788852998222870091917797261510275140419044716934545275874832777490184996199846402847<159>

5665091893593528878678012868541271576783269<43>

69695908452169798075618968518205957865818545583489519461526316470733080050284264031732418804039048933964500575170163<116>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2629259413
Step 1 took 23528ms
Step 2 took 10608ms
********** Factor found in step 2: 5665091893593528878678012868541271576783269
Found prime factor of 43 digits: 5665091893593528878678012868541271576783269
Composite cofactor 69695908452169798075618968518205957865818545583489519461526316470733080050284264031732418804039048933964500575170163 has 116 digits

69695908452169798075618968518205957865818545583489519461526316470733080050284264031732418804039048933964500575170163<116>

19762208469635381974697510374246070981339921<44>
3526726709682144457424844615586885297588450049012697193297979864698542403<73>

19762208469635381974697510374246070981339921 3526726709682144457424844615586885297588450049012697193297979864698542403

n: 69695908452169798075618968518205957865818545583489519461526316470733080050284264031732418804039048933964500575170163
skew: 20510.399
c0: -205594861906992126675075192
c1: -40842709577859917866447
c2: 1940713546889334227
c3: 5735771692928
c4: -1767618291
c5: 92880
Y0: -15119827181473403641435
Y1: 40683855023002211
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 9.981e-07
# f(x) = 92880*x^5-1767618291*x^4+5735771692928*x^3+1940713546889334227*x^2-40842709577859917866447*x-205594861906992126675075192
# g(x) = 40683855023002211*x-15119827181473403641435

cado-nfs 3.0.0

3002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849<223>

70203657849205818397346946711984982309676882073033015164574332056665564221706775254175602448199282527269703206746645780381465935140114114548378141<146>

410552510964297738812657611839996715011439367554653429333116055183002926350418672622621247299904705814385640111925654708606132045723917912719334001736290423520503349047950266395859926316997634881402475658797717<210>

10112521088342977457610735973190831953032671<44>
40598433108589962669662409907770902521702813017864739072082811016028091419992958160871217067677750529428226180176708051645151359582437685230112670804788401424048303627<167>

vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
WorkUnit(uid=1347,
         n='410552510964297738812657611839996715011439367554653429333116055183002926350418672622621247299904705814385640111925654708606132045723917912719334001736290423520503349047950266395859926316997634881402475658797717',
         params=(),
         B1='10000000000', 
         B2='8e15',
         resume_line='METHOD=P-1; B1=10000000000; '
                     'N=410552510964297738812657611839996715011439367554653429333116055183002926350418672622621247299904705814385640111925654708606132045723917912719334001736290423520503349047950266395859926316997634881402475658797717; '
                     'X=0x369760b425d672a3b0de50fea0ae51f50987fd8b29963ba7c9b67d990ce38b4948617a86d39f5cd05d7da8c8704e2453bde285448f0552d6110b9379b889df29f6ffce01ff463231a0a548b84da6d83048f319d65eeada; '
                     'CHECKSUM=1426613735; PROGRAM=GMP-ECM 7.0.6-dev; X0=0x3; '
                     'WHO=five@five; TIME=Wed Nov 22 12:58:40 2023;\n')
------------------------------------ result ------------------------------------
EcmOutput(factors=(10112521088342977457610735973190831953032671,),
          exit_status=14,
          resume_line='',
          using='Using B1=10000000000-10000000000, B2=8344913552924776, '
                'polynomial x^1',
          version='GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, '
                  '--enable-asm-redc, --enable-assert] [ECM]',
          output='OMMITTED<1524>',
          timings=(('0',), ('242912',)),
          runtime=0)
------------------------------------ output ------------------------------------
GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/params.h
Running on sethtroisi-linux.sea.corp.google.com
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Wed Nov 22 12:58:40 2023
Input number is 410552510964297738812657611839996715011439367554653429333116055183002926350418672622621247299904705814385640111925654708606132045723917912719334001736290423520503349047950266395859926316997634881402475658797717 (210 digits)
Using mpz_mod 
Using lmax = 33554432 with NTT which takes about 9984MB of memory
Using B1=10000000000-10000000000, B2=8344913552924776, polynomial x^1
P = 240705465, l = 33554432, s_1 = 16220160, k = s_2 = 5, m_1 = 16
Probability of finding a factor of n digits (assuming one exists):
20      25      30      35      40      45      50      55      60      65
0.81    0.55    0.3     0.14    0.055   0.019   0.0063  0.0018  0.0005  0.00013
Step 1 took 0ms
Computing F from factored S_1 took 93708ms
Computing h took 11085ms
Computing DCT-I of h took 28256ms
Multi-point evaluation 1 of 5:
Computing g_i took 38663ms
Computing g*h took 56661ms
Computing gcd of coefficients and N took 13127ms
Step 2 took 242912ms
********** Factor found in step 2: 10112521088342977457610735973190831953032671
Found prime factor of 44 digits: 10112521088342977457610735973190831953032671
Prime cofactor 40598433108589962669662409907770902521702813017864739072082811016028091419992958160871217067677750529428226180176708051645151359582437685230112670804788401424048303627 has 167 digits
Peak memory usage: 10778MB
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

gmp-ecm + ecm-db

1080 TI for stage 1

577713439597026596103262238096036244632332900867531028776069549822149157088794489590012679725533546665942572906277386547966335883<129>

57342822465319585441736565848460882466076405572000893471163<59>
10074729752732740012762792117571142211245018906842173312579648066531441<71>

57342822465319585441736565848460882466076405572000893471163 10074729752732740012762792117571142211245018906842173312579648066531441

n: 577713439597026596103262238096036244632332900867531028776069549822149157088794489590012679725533546665942572906277386547966335883
skew: 210770.472
c0: 2652533139323138824466288675980
c1: -15778601327446198804702224
c2: 75379356986729031527
c3: 1455243736997109
c4: -4242011322
c5: -8400
Y0: -10658195383298450889183141
Y1: 2177089980076297
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.524e-07
# f(x) = -8400*x^5-4242011322*x^4+1455243736997109*x^3+75379356986729031527*x^2-15778601327446198804702224*x+2652533139323138824466288675980
# g(x) = 2177089980076297*x-10658195383298450889183141

cado-nfs 3.0.0

8313284242701435770031880914312945228986216621376166566409904425711925381906262979849808393360697387375445994634189396661990466409809903415586065646000259218386697459814858072656138632997478195179<196>

2661521244754912877611731433221209181149<40>
3123508504425621250728299506792283719527120335423942897373384117159224415635729181129708543792464453236013814259760830155681562646632036841447346390156026471<157>

Resuming ECM residue saved by @a2ab8514e5b3 with GMP-ECM 7.0.5-dev on Wed Mar 16 00:19:23 2022 
Input number is 8313284242701435770031880914312945228986216621376166566409904425711925381906262979849808393360697387375445994634189396661990466409809903415586065646000259218386697459814858072656138632997478195179 (196 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1502858116
Step 1 took 0ms
Step 2 took 4744ms
********** Factor found in step 2: 2661521244754912877611731433221209181149
Found prime factor of 40 digits: 2661521244754912877611731433221209181149
Prime cofactor 3123508504425621250728299506792283719527120335423942897373384117159224415635729181129708543792464453236013814259760830155681562646632036841447346390156026471 has 157 digits

39110624249749786612151354770169348112407582450844383110251613344477565377768062892939680130404361638847942955627794793402721783274727335967564026641004332282963030204881193377156603746469226105126611770922321<209>

31449258888972915776142016945653974395257561570533650295195290325136324601536156584137939707024513939680388920167995192229198656913344108519376501338810584823807883129840836008868604467655554941323652731461767743<212>

3049758193816299869586668355318357284496461629455710465332047342316578384268780108585859243474204673554779921607325577051721208004012254935363789422356411582750139416484035629856229942740066533918273482696832305284151671130048547<229>

73228504760684556639188014866915636057908679694686309601599719610388258770009619616223863899728877118857007569121451453676889640407626644904352732822670488854778370995000075368729141<182>

219876225337620134634095986897524002346540185679650449284691319962183366743720555898613718922825332786513359753314209143035187577720358659405057506003341171706013578148553639755561994960126482751617909408610194039715399931<222>

1253847934700046853822932924644573040468573774847547050474230330173980334903568500353009941611573105895881707075134254845660996708015109790749755419651525133578731359586108746257547934080141579845518868167219770039458963283814798033<232>

81775791572593471902179394672935626779632086524063341324705754564004686202856721675239935137986950011249990301732498506466804769995887934579366741925222478256484261651498576294330780749326940235396348796251037714622659808051889610439991<236>

1019640556815660611581303016966709587<37>
80200606994272004763254790504049553763133812363332505124252343640516915703963748359051245238380739552818813566956352416363936820358945471551423382698566134230160024908643174345690694776255428367713293<200>

Resuming ECM residue saved by @ec78329e6a33 with GMP-ECM 7.0.5-dev on Wed Mar 23 13:41:03 2022 
Input number is 81775791572593471902179394672935626779632086524063341324705754564004686202856721675239935137986950011249990301732498506466804769995887934579366741925222478256484261651498576294330780749326940235396348796251037714622659808051889610439991 (236 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4161989316
Step 1 took 0ms
Step 2 took 4320ms
********** Factor found in step 2: 1019640556815660611581303016966709587
Found prime factor of 37 digits: 1019640556815660611581303016966709587
Prime cofactor 80200606994272004763254790504049553763133812363332505124252343640516915703963748359051245238380739552818813566956352416363936820358945471551423382698566134230160024908643174345690694776255428367713293 has 200 digits

18222913482002675093535030433842227411873227007002971464666783485766041335667348761821177823794491327981967699966913822421619066772724680229472867759766219142469540465747876952305198530767106050859<197>

288901203064952405002995919507617707774739364507797189816550522901329985479976391205162503899494876794128339047432785454658445832081853429363868492252803696004051201004669435372481812377104952389<195>

43098450689145124451525329621598173657396376938404148455461251151874749088633470938209932604353546841729936296901027657405792581687923952823867550213454306015097268124320818758041102589103337803550137526913280705480950750268155825951<233>

38653118690183345493784037066413301709635564091122035521349345030224470159122097029536580843018698221672543307936004775469536298484729105623006026937358760276302660899711751386189605700031069733348545986279519357969373<218>

1950398620984190741060129975420378939900993097288675062626074021926808020175087257244910327044396544570617895306939617589920198357703432197162197164558380128097761<163>

2621004269563588771173499036519648091039<40>
744141718360856597456460991358639569072025598193329548017617982223660205040542258400131227443842700287653112525494458179199<123>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2118096593
Step 1 took 25968ms
********** Factor found in step 1: 2621004269563588771173499036519648091039
Found prime factor of 40 digits: 2621004269563588771173499036519648091039
Prime cofactor 744141718360856597456460991358639569072025598193329548017617982223660205040542258400131227443842700287653112525494458179199 has 123 digits
 

GMP-ECM

133992303402672685712722650231808936675688171416237325843153596475636307628872713633409618905178567597983082423680694163038820815483735819236264609665365479424667002431817093686133818260326671<192>

1778429066098234114667969526762079997687<40>
378964174857060591246089787040406407946167<42>
198813169564837424389307349712086095946525798717737077854399799064989110756018602381924905230779414327608445599<111>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3316437586
Step 1 took 62781ms
Step 2 took 25692ms
********** Factor found in step 2: 1778429066098234114667969526762079997687
Found prime factor of 40 digits: 1778429066098234114667969526762079997687
Composite cofactor 75343068754855486632729980540826466884244631550110985523894842210279001827187021300305036592527258091481606098445704267626243355892841718620852940069033 has 152 digits

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3475915496
Step 1 took 38358ms
********** Factor found in step 1: 378964174857060591246089787040406407946167
Found prime factor of 42 digits: 378964174857060591246089787040406407946167
Prime cofactor 198813169564837424389307349712086095946525798717737077854399799064989110756018602381924905230779414327608445599 has 111 digits

298061241354813234920667888097523165131740305382628279459576190811428937960119415318906737755382788840715515276415860596820595109480658752395172042714376415494977086017646939816446127646340370488655908231925534426802835319608038681749<234>

1172278174465694750441928866880814073<37>

254258117098072461878699369094145764192943491523225101321134879913353026417084296168256131791944732814367460621126900854946762164018091867869544817952717924083956611633099559000958339507194572735613<198>

Resuming ECM residue saved by @ec78329e6a33 with GMP-ECM 7.0.5-dev on Wed Mar 23 13:49:56 2022 
Input number is 298061241354813234920667888097523165131740305382628279459576190811428937960119415318906737755382788840715515276415860596820595109480658752395172042714376415494977086017646939816446127646340370488655908231925534426802835319608038681749 (234 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:959330976
Step 1 took 0ms
Step 2 took 4279ms
********** Factor found in step 2: 1172278174465694750441928866880814073
Found prime factor of 37 digits: 1172278174465694750441928866880814073
Composite cofactor 254258117098072461878699369094145764192943491523225101321134879913353026417084296168256131791944732814367460621126900854946762164018091867869544817952717924083956611633099559000958339507194572735613 has 198 digits

20107618738031251986236671691993175817881130634459219371761344012887006209362960060477113399663889364002233735368323492528605982353946631910913980003842806588636169748902208137776835508532856667081921211459741893<212>

5633835942055943884000707703869761107182392498766596163539460103194342217582592622882033141280462936682418957483781340885025381660313901944528631271851826907606694108899803777877198412049353258083672619610773562022172939520717710075532956069442640441<250>

852781737464889701138110331169092500428447335477931394820054472351305781641734690946141879514037861931378343209209801951491072092465394660576089923001677587474491447962863778383577768222159321546405342509467211606643773395945895735317063137<240>

88898173231352126330182655491072838120988223474967689790366274994079622153463801586278612381050011126955857689515696703161323880759168134990522996057266497779221999778575391869304877416900965460717020198110561273807884163735643153023239<236>

847708000302121629545516838815974797856651355339264909176597273711750972730132725289142920032842223292336192253089146560909935036002267000650190916362596932574050540391263482733759531728575067628494570426716371<210>

928156954136952304568278485045013364995126707426906271891270601516432241088650230277660877048415741879604837550389657314240520373496220541570038007086727180488314595962491917136579293562494046312337239892892250900799886416879<225>

528803676294287068459169638239644771345984760460337413334587581052952497714403138422818084615154369132985058361599619377140022590296329918390734311604538147658020910738870684248844677360135505902243229246121698361317100952735404573521<234>

25786372541129193325594956435383023<35>

20507098291969785911599864941172045151905958824602736226020636811990826570556457606600690232150608859273925050185014276503536493963097121672315651145694226191270440754983627069512976020861808161275327<200>

N=20507098291969785911599864941172045151905958824602736226020636811990826570556457606600690232150608859273925050185014276503536493963097121672315651145694226191270440754983627069512976020861808161275327

126285628692175721209190586840637739684264307866271734616815943503786629608558143213711784223226446311427535115068196571911090026000558259951144319041069208176143223453537401638448730728317224336668413001029938704592709295310633186497872678889<243>

65914285188838510757154338073067083687109<41>
1915906822479811926999302738116409781171780628713789801211578833745432248894829847013357219104668656317112623086881648710730259334842602578371565226721641622276167474962728915062573181410674945194334421<202>

Resuming ECM residue saved by @ec78329e6a33 with GMP-ECM 7.0.5-dev on Wed Mar 23 14:12:10 2022 
Input number is 126285628692175721209190586840637739684264307866271734616815943503786629608558143213711784223226446311427535115068196571911090026000558259951144319041069208176143223453537401638448730728317224336668413001029938704592709295310633186497872678889 (243 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2532953529
Step 1 took 0ms
Step 2 took 6011ms
********** Factor found in step 2: 65914285188838510757154338073067083687109
Found prime factor of 41 digits: 65914285188838510757154338073067083687109
Prime cofactor 1915906822479811926999302738116409781171780628713789801211578833745432248894829847013357219104668656317112623086881648710730259334842602578371565226721641622276167474962728915062573181410674945194334421 has 202 digits

377228660311494827271041052198477100390192994105925851716437321623494383169322450216129843657518023774002946440942445736135524206107085915842145248867002850891227319521161540391444838553078379268211626834150081055627043942977357245786749124035796159787<252>

23465150532972006764615645650935350226338947112929730936798386255202218312184070450044850976968680203112094059590793580518367847204395564261412040113160209108801306207053260539794904277398654694284562226752862971440685305755070682822223999926407<245>

124476838990073172013569329228733806902991910390774858976475075416422037397834505655881655619627050489381153804547245011245864952548961811664175281993059020326239311807345653876221918196745422264464993892467723<210>

13522784054564624360752110751533903132390851778630673412401667581357262896425055241754396505413041922842093213996408170577408148044618908280914027710194775738769455085371624965530562454091409872453702751246193215094513813236253444432465987381355939213<251>

548229065221412891930624525244177854428363086100751389776069320203408268525102264093104363545534262606890524077883952139869300869692857392693530207064058281264571529069361084075061987502179827500043952131476714932369080123402831<228>

590311931833997518668009644063263432269794336473790804259815849706510343968195119987772354706526666190826202108972084881765768344052824865718957415657854073361213157157806030586656241600769955865912906556124983236521161616868081551775384191<240>

7665357896940374139935463834973176442819179684100755267491095096881547079241849138170126914997181632270010536345035236103472446072396342313455446072964100999317342428569862682606313233714180345215412655754992051149753262239156391<229>

471358246815159796647057820490952586944767583095240104366858594540970569380509089330881861823008644727515677611362764463480264977152071816259253781605284104867777321550719497073023448081054615316174794347402698697774381361460863321226698839<240>