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>

451337978896150281658169316385317302268103865978997337<54>
1147044387075675923656512705382413087994506138400068714408479058972332758983272289988350210304067814733904200048516855766330163991<130>

08/22/24 10:51:03 v1.34.5 @ TRIGKEY,
08/22/24 10:51:03 v1.34.5 @ TRIGKEY, ****************************
08/22/24 10:51:03 v1.34.5 @ TRIGKEY, Starting factorization of 52699999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995
08/22/24 10:51:03 v1.34.5 @ TRIGKEY, using pretesting plan: normal
08/22/24 10:51:03 v1.34.5 @ TRIGKEY, no tune info: using qs/gnfs crossover of 100 digits
08/22/24 10:51:03 v1.34.5 @ TRIGKEY, ****************************
08/22/24 10:51:03 v1.34.5 @ TRIGKEY, div: found prime factor = 3
08/22/24 10:51:03 v1.34.5 @ TRIGKEY, div: found prime factor = 3
08/22/24 10:51:03 v1.34.5 @ TRIGKEY, div: found prime factor = 5
08/22/24 10:51:03 v1.34.5 @ TRIGKEY, div: found prime factor = 239
08/22/24 10:51:03 v1.34.5 @ TRIGKEY, rho: x^2 + 3, starting 1000 iterations on C205
08/22/24 10:51:03 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C205
08/22/24 10:51:03 v1.34.5 @ TRIGKEY, prp7 = 7443043
08/22/24 10:51:03 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C198
08/22/24 10:51:03 v1.34.5 @ TRIGKEY, rho: x^2 + 1, starting 1000 iterations on C198
08/22/24 10:51:03 v1.34.5 @ TRIGKEY, pm1: starting B1 = 150K, B2 = gmp-ecm default on C198
08/22/24 10:51:03 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 0.00
08/22/24 10:51:03 v1.34.5 @ TRIGKEY, scheduled 30 curves at B1=2000 toward target pretesting depth of 60.92
08/22/24 10:51:03 v1.34.5 @ TRIGKEY, prp16 = 1271649920968829 (curve 26 stg2 B1=2000 sigma=1964903291 thread=0)
08/22/24 10:51:03 v1.34.5 @ TRIGKEY, Finished 26 curves using Lenstra ECM method on C198 input, B1=2K, B2=gmp-ecm default
08/22/24 10:51:03 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 0.00
08/22/24 10:51:03 v1.34.5 @ TRIGKEY, scheduled 4 curves at B1=2000 toward target pretesting depth of 56.31
08/22/24 10:51:03 v1.34.5 @ TRIGKEY, Finished 4 curves using Lenstra ECM method on C183 input, B1=2K, B2=gmp-ecm default
08/22/24 10:51:03 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 15.18
08/22/24 10:51:03 v1.34.5 @ TRIGKEY, scheduled 74 curves at B1=11000 toward target pretesting depth of 56.31
08/22/24 10:51:05 v1.34.5 @ TRIGKEY, Finished 74 curves using Lenstra ECM method on C183 input, B1=11K, B2=gmp-ecm default
08/22/24 10:51:05 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 20.24
08/22/24 10:51:05 v1.34.5 @ TRIGKEY, scheduled 214 curves at B1=50000 toward target pretesting depth of 56.31
08/22/24 10:51:40 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c209: 52699999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995
08/22/24 10:51:40 v1.34.5 @ TRIGKEY, nfs: input divides 527*10^206 - 5
08/22/24 10:51:40 v1.34.5 @ TRIGKEY, nfs: using supplied cofactor: 517704695366909054918701978333539360025141514479465524914733015021861432243284279121615475000532726753275114810114967803340045778672940324005708765171913395443598708921250024962291967
08/22/24 10:51:40 v1.34.5 @ TRIGKEY, nfs: commencing snfs on c183: 517704695366909054918701978333539360025141514479465524914733015021861432243284279121615475000532726753275114810114967803340045778672940324005708765171913395443598708921250024962291967
08/22/24 10:51:41 v1.34.5 @ TRIGKEY, gen: best 3 polynomials:
n: 517704695366909054918701978333539360025141514479465524914733015021861432243284279121615475000532726753275114810114967803340045778672940324005708765171913395443598708921250024962291967
# 527*10^206-5, difficulty: 209.72, anorm: -5.03e+025, rnorm: 2.01e+047
# scaled difficulty: 213.32, suggest sieving rational side
# size = 1.643e-014, alpha = 1.003, combined = 6.434e-012, rroots = 1
type: snfs
size: 209
skew: 0.2486
c5: 1054
c0: -1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 517704695366909054918701978333539360025141514479465524914733015021861432243284279121615475000532726753275114810114967803340045778672940324005708765171913395443598708921250024962291967
# 527*10^206-5, difficulty: 209.93, anorm: -5.36e+026, rnorm: 2.84e+047
# scaled difficulty: 213.38, suggest sieving rational side
# size = 1.304e-014, alpha = 0.310, combined = 5.604e-012, rroots = 1
type: snfs
size: 209
skew: 0.4971
c5: 527
c0: -16
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 517704695366909054918701978333539360025141514479465524914733015021861432243284279121615475000532726753275114810114967803340045778672940324005708765171913395443598708921250024962291967
# 527*10^206-5, difficulty: 210.72, anorm: 1.04e+032, rnorm: 2.16e+040
# scaled difficulty: 212.11, suggest sieving rational side
# size = 1.914e-010, alpha = -0.193, combined = 5.278e-012, rroots = 2
type: snfs
size: 210
skew: 0.2136
c6: 10540
c0: -1
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
08/22/24 10:51:42 v1.34.5 @ TRIGKEY, test: fb generation took 1.5924 seconds
08/22/24 10:51:42 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 0 on the rational side over range 21400000-21402000
skew: 0.2486
c5: 1054
c0: -1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
08/22/24 10:54:43 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
08/22/24 10:54:44 v1.34.5 @ TRIGKEY, test: fb generation took 1.5875 seconds
08/22/24 10:54:44 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 0.4971
c5: 527
c0: -16
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
08/22/24 10:57:38 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
08/22/24 10:57:40 v1.34.5 @ TRIGKEY, test: fb generation took 2.4807 seconds
08/22/24 10:57:40 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 2 on the rational side over range 22600000-22602000
skew: 0.2136
c6: 10540
c0: -1
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
08/22/24 11:00:31 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
08/22/24 11:00:31 v1.34.5 @ TRIGKEY, gen: selected polynomial:
n: 517704695366909054918701978333539360025141514479465524914733015021861432243284279121615475000532726753275114810114967803340045778672940324005708765171913395443598708921250024962291967
# 527*10^206-5, difficulty: 209.72, anorm: -5.03e+025, rnorm: 2.01e+047
# scaled difficulty: 213.32, suggest sieving rational side
# size = 1.643e-014, alpha = 1.003, combined = 6.434e-012, rroots = 1
type: snfs
size: 209
skew: 0.2486
c5: 1054
c0: -1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
08/22/24 11:00:31 v1.34.5 @ TRIGKEY, test: test sieving took 530.44 seconds
08/23/24 14:34:07 v1.34.5 @ TRIGKEY, nfs: previous data file found - commencing search for last special-q
08/23/24 14:34:08 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
08/23/24 14:34:08 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c183: 517704695366909054918701978333539360025141514479465524914733015021861432243284279121615475000532726753275114810114967803340045778672940324005708765171913395443598708921250024962291967
08/23/24 14:34:08 v1.34.5 @ TRIGKEY, nfs: resuming with filtering
08/24/24 02:17:33 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
08/24/24 02:19:26 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 22163109
08/24/24 04:15:08 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
08/24/24 04:17:08 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 23293630
08/24/24 06:29:57 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
08/24/24 06:32:02 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 24574768
08/24/24 08:44:19 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
08/24/24 08:46:29 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 25837196
08/24/24 11:15:39 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
08/24/24 11:19:48 v1.34.5 @ TRIGKEY, nfs: commencing msieve linear algebra
08/24/24 14:23:01 v1.34.5 @ TRIGKEY, nfs: commencing msieve sqrt
08/24/24 14:26:44 v1.34.5 @ TRIGKEY, prp54 = 451337978896150281658169316385317302268103865978997337
08/24/24 14:26:44 v1.34.5 @ TRIGKEY, prp130 = 1147044387075675923656512705382413087994506138400068714408479058972332758983272289988350210304067814733904200048516855766330163991
08/24/24 14:26:44 v1.34.5 @ TRIGKEY, NFS elapsed time = 85957.3640 seconds.
08/24/24 14:26:44 v1.34.5 @ TRIGKEY,
08/24/24 14:26:44 v1.34.5 @ TRIGKEY,

YAFU

30599038835271064960586690585743482371211291797264639239408018073391815118325450741659531492106294010229861944430536102116078984241041684169783567356512834923235523<164>

534501825454147785472142926042570821993565507815256936008260913544276488711917861<81>
57247772370603441653849933419394869851304122452851270039583292003320640668416217543<83>

Number: n
N=30599038835271064960586690585743482371211291797264639239408018073391815118325450741659531492106294010229861944430536102116078984241041684169783567356512834923235523  ( 164 digits)
SNFS difficulty: 209 digits.
Divisors found:

Thu Oct 31 13:02:30 2024  prp81 factor: 534501825454147785472142926042570821993565507815256936008260913544276488711917861
Thu Oct 31 13:02:30 2024  prp83 factor: 57247772370603441653849933419394869851304122452851270039583292003320640668416217543
Thu Oct 31 13:02:30 2024  elapsed time 02:19:49 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.137).
Factorization parameters were as follows:
#
# N = 527x10^207-5 = 585(207)
#
n: 30599038835271064960586690585743482371211291797264639239408018073391815118325450741659531492106294010229861944430536102116078984241041684169783567356512834923235523
m: 100000000000000000000000000000000000000000
deg: 5
c5: 10540
c0: -1
skew: 0.16
# Murphy_E = 6.711e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0: 50000
qintsize: 50000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 48850000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8851185 hash collisions in 29786625 relations (19021962 unique)
Msieve: matrix is 2088540 x 2088766 (589.5 MB)

Sieving start time: 2024/10/30 07:35:09
Sieving end time  : 2024/10/31 10:36:21

Total sieving time: 27hrs 1min 12secs.

Total relation processing time: 2hrs 7min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 39sec.

Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,21000000,21000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

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

381728564208502090166083791101607460956277111980329870338582204479558713305812933910300870340934244875381401135146984855389903528026208401405569156254013<153>

1704432100964219788144065618171405042561806313389711501782498976453<67>
223962318001728077844933623614750223413641051328523258327563456006506971353883044074521<87>

Number: 58555_219
N = 381728564208502090166083791101607460956277111980329870338582204479558713305812933910300870340934244875381401135146984855389903528026208401405569156254013 (153 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=1704432100964219788144065618171405042561806313389711501782498976453 (pp67)
r2=223962318001728077844933623614750223413641051328523258327563456006506971353883044074521 (pp87)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 25.06 hours.
Factorization parameters were as follows:
n: 381728564208502090166083791101607460956277111980329870338582204479558713305812933910300870340934244875381401135146984855389903528026208401405569156254013
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 527
c0: -50
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30584666
Relations: 8011914 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 8.90 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 6864252 x 6864477
Matrix solve time: 15.76 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 25.06 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

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>

666108709639891964824808241360035098802067735361727766716509757<63>
105393694502446807285371596274413959919281493112929713149892862933855148212118210913<84>

Msieve v. 1.54 (SVN Unversioned directory)
Mon Jun  3 07:31:00 2024
random seeds: 518f029c cf98c26c
Using 15 OpenMP threads
factoring 70203657849205818397346946711984982309676882073033015164574332056665564221706775254175602448199282527269703206746645780381465935140114114548378141 (146 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (146-digit input)
R0: -22878060547791604941370747918
R1: 3063159040840214799983
A0: 655256440240048735956143552045033595
A1: -105435664804579277984697661512
A2: -473976544060564623094522
A3: -196455076266289712
A4: 62037996303
A5: 7560
skew 1.00, size 4.644e-14, alpha -7.174, combined = 7.968e-14 rroots = 3

commencing relation filtering
estimated available RAM is 63425.1 MB
commencing duplicate removal, pass 1
read 10M relations
read 20M relations
read 30M relations
read 40M relations
read 50M relations
read 60M relations
read 70M relations
read 80M relations
found 20609573 hash collisions in 85000239 relations
added 121849 free relations
commencing duplicate removal, pass 2
found 23590850 duplicates and 61531238 unique relations
memory use: 660.8 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 1506.0 MB
reading all ideals from disk
memory use: 2546.8 MB
keeping 67142708 ideals with weight <= 200, target excess is 508349
commencing in-memory singleton removal
begin with 61531238 relations and 67142708 unique ideals
reduce to 20556320 relations and 18856239 ideals in 22 passes
max relations containing the same ideal: 103
removing 3396403 relations and 2996404 ideals in 400000 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 17159917 relations and 18856239 unique ideals
reduce to 16688136 relations and 15375414 ideals in 11 passes
max relations containing the same ideal: 87
removing 2522834 relations and 2122834 ideals in 400000 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 14165302 relations and 15375414 unique ideals
reduce to 13839608 relations and 12918847 ideals in 10 passes
max relations containing the same ideal: 80
removing 1959299 relations and 1628223 ideals in 331076 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 11880309 relations and 12918847 unique ideals
reduce to 11643722 relations and 11048692 ideals in 11 passes
max relations containing the same ideal: 70
relations with 0 large ideals: 8285
relations with 1 large ideals: 102903
relations with 2 large ideals: 577663
relations with 3 large ideals: 1742030
relations with 4 large ideals: 3040369
relations with 5 large ideals: 3166942
relations with 6 large ideals: 2023006
relations with 7+ large ideals: 982524
commencing 2-way merge
reduce to 6451284 relation sets and 5856256 unique ideals
ignored 2 oversize relation sets
commencing full merge
memory use: 581.6 MB
found 2984934 cycles, need 2914456
weight of 2914456 cycles is about 262537552 (90.08/cycle)
distribution of cycle lengths:
1 relations: 260715
2 relations: 264743
3 relations: 276420
4 relations: 261672
5 relations: 246380
6 relations: 228689
7 relations: 204743
8 relations: 182098
9 relations: 166524
10+ relations: 822472
heaviest cycle: 23 relations
commencing cycle optimization
start with 20678546 relations
pruned 493609 relations
memory use: 667.6 MB
distribution of cycle lengths:
1 relations: 260715
2 relations: 270675
3 relations: 285451
4 relations: 268268
5 relations: 253023
6 relations: 232820
7 relations: 207999
8 relations: 184420
9 relations: 167419
10+ relations: 783666
heaviest cycle: 23 relations
RelProcTime: 180

commencing linear algebra
using VBITS=64
read 2914456 cycles
cycles contain 11018601 unique relations
read 11018601 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1453.7 MB
read 2914456 cycles
matrix is 2914244 x 2914456 (1092.5 MB) with weight 340869548 (116.96/col)
sparse part has weight 251420418 (86.27/col)
filtering completed in 3 passes
matrix is 2907378 x 2907578 (1091.6 MB) with weight 340502170 (117.11/col)
sparse part has weight 251277167 (86.42/col)
matrix starts at (0, 0)
matrix is 2907378 x 2907578 (1091.6 MB) with weight 340502170 (117.11/col)
sparse part has weight 251277167 (86.42/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2907330 x 2907578 (1056.3 MB) with weight 280282923 (96.40/col)
sparse part has weight 247822778 (85.23/col)
using GPU 0 (NVIDIA Graphics Device)
selected card has CUDA arch 8.9
Nonzeros per block: 1750000000
converting matrix to CSR and copying it onto the GPU
247822778 2907330 2907578
247822778 2907578 2907330
commencing Lanczos iteration
vector memory use: 155.3 MB
dense rows memory use: 22.2 MB
sparse matrix memory use: 1912.9 MB
memory use: 2090.4 MB
Allocated 90.0 MB for SpMV library
every 280000 dimensions, checkpointing every 17360000 dimensions mensions (0.0%, ETA 0h 0m)    
algebra at 1.0%, ETA 0h11m 2907578 dimensions (1.0%, ETA 0h11m)    imensions (0.7%, ETA 0h11m)    

algebra completed 2907059 of 2907578 dimensions (100.0%, ETA 0h 0m)   nsions (1.1%, ETA 0h10m)    
lanczos halted after 45974 iterations (dim = 2907328)
recovered 28 nontrivial dependencies
BLanczosTime: 763
elapsed time 00:15:43
...
sqrtTime: 62
p84 factor: 105393694502446807285371596274413959919281493112929713149892862933855148212118210913
p63 factor: 666108709639891964824808241360035098802067735361727766716509757
elapsed time 00:01:02

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>