113111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<96>

15676065253539101619991819133116867569549965887<47>
7215529489172968261718629677309895442983829919353<49>

prp47 = 15676065253539101619991819133116867569549965887
prp49 = 7215529489172968261718629677309895442983829919353

Yafu

50037142010176807568407728192346312859835495768543713218952752109166298146556429632663971050809965177<101>

4932756775153618064248328707611503694339435299<46>
10143849431663601344846170007016520586975093171028556723<56>

N=50037142010176807568407728192346312859835495768543713218952752109166298146556429632663971050809965177
  ( 101 digits)
SNFS difficulty: 108 digits.
Divisors found:
 r1=4932756775153618064248328707611503694339435299 (pp46)
 r2=10143849431663601344846170007016520586975093171028556723 (pp56)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.30 hours.
Scaled time: 2.35 units (timescale=7.862).
Factorization parameters were as follows:
n: 50037142010176807568407728192346312859835495768543713218952752109166298146556429632663971050809965177
m: 100000000000000000000000000
deg: 4
c4: 10180
c0: -1
skew: 0.10
# Murphy_E = 1.522e-07
type: snfs
lss: 1
rlim: 440000
alim: 440000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 440000/440000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [220000, 380001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 41287 x 41513
Total sieving time: 0.29 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,108.000,4,0,0,0,0,0,0,0,0,440000,440000,25,25,44,44,2.2,2.2,20000
total time: 0.30 hours.

GNFS, Msieve

303868530014735432452740832613100204215590243460491228885103979588795049693<75>

1539449725205637630195929021925056419<37>
197387758131656479811875490600856242047<39>

303868530014735432452740832613100204215590243460491228885103979588795049693 = 1539449725205637630195929021925056419 * 197387758131656479811875490600856242047

Time elapsed: 0d 0h 3m 2.4s

Modular multiplications:

ECM: 10552042
Probable prime checking: 1257
SIQS: 73162
Sum of squares: 2013
SIQS:

270622 polynomials sieved
223883 sets of trial divisions
8696 smooth congruences found (1 out of every 2003399 values)
95858 partial congruences found (1 out of every 181743 values)
9074 useful partial congruences
Size of binary matrix: 16392 × 15939
Timings:

Probable prime test of 3 numbers: 0d 0h 0m 0.0s
Factoring 1 number using ECM: 0d 0h 0m 2.6s
Factoring 1 number using SIQS: 0d 0h 2m 59.8s

Dario Alpern's caculator, SIQS

Windows 10 Business
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

1615873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873<121>

1236460899908767859806466147504037137<37>
1306853306879532460040984587162848505085372738836602877088447013164913779057856839729<85>

N=1615873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873
  ( 121 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=1236460899908767859806466147504037137 (pp37)
 r2=1306853306879532460040984587162848505085372738836602877088447013164913779057856839729 (pp85)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.02 hours.
Scaled time: 8.00 units (timescale=7.855).
Factorization parameters were as follows:
n: 1615873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873
m: 1000000000000000000000000000000
deg: 4
c4: 509
c0: -5
skew: 0.31
# Murphy_E = 3.144e-08
type: snfs
lss: 1
rlim: 780000
alim: 780000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 780000/780000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [390000, 690001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 78385 x 78610
Total sieving time: 1.01 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,122.000,4,0,0,0,0,0,0,0,0,780000,780000,25,25,46,46,2.2,2.2,75000
total time: 1.02 hours.

GNFS, Msieve

624923265807243707796193984039287906691221608348680171884591774094536525475751995089011663597298956414978514426028238182934315531<129>

2473741857223482400122560783450517677923<40>
252622667147919382849580077809443217960257690807014689037935994325146438622723508712759097<90>

p40 factor: 2473741857223482400122560783450517677923
p90 factor: 252622667147919382849580077809443217960257690807014689037935994325146438622723508712759097

GNFS, Msieve

230839002267573696145124716553287981859410430839002267573696145124716553287981859410430839002267573696145124716553287981859410430839<132>

348021545093021645242762535639112279968867<42>
663289401252078875658601719497771748940619135819756207026762160127502179739305620040900317<90>

N=230839002267573696145124716553287981859410430839002267573696145124716553287981859410430839002267573696145124716553287981859410430839
  ( 132 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=348021545093021645242762535639112279968867 (pp42)
 r2=663289401252078875658601719497771748940619135819756207026762160127502179739305620040900317 (pp90)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.71 hours.
Scaled time: 21.21 units (timescale=7.825).
Factorization parameters were as follows:
n: 230839002267573696145124716553287981859410430839002267573696145124716553287981859410430839002267573696145124716553287981859410430839
m: 1000000000000000000000000000000000
deg: 4
c4: 509
c0: -5
skew: 0.31
# Murphy_E = 8.241e-09
type: snfs
lss: 1
rlim: 1230000
alim: 1230000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1230000/1230000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [615000, 1315001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 180732 x 180960
Total sieving time: 2.68 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,134.000,4,0,0,0,0,0,0,0,0,1230000,1230000,26,26,47,47,2.3,2.3,100000
total time: 2.71 hours.

GNFS, Msieve

992560484251510082572609043322789137884775428942398746297542448975309250702821243013860221328993<96>

953968619353131498999448674212473098073358666123<48>
1040454019257517101945887793638267094224738106691<49>

prp48 = 953968619353131498999448674212473098073358666123
prp49 = 1040454019257517101945887793638267094224738106691

Yafu

5953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269<139>

140645509678874312029924190644716257636365012386410155685925560446237<69>
42327809738551574597099227995661742139533118707085543868871395301885537<71>

N=5953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269
  ( 139 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=140645509678874312029924190644716257636365012386410155685925560446237 (pp69)
 r2=42327809738551574597099227995661742139533118707085543868871395301885537 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.97 hours.
Scaled time: 47.96 units (timescale=6.882).
Factorization parameters were as follows:
n: 5953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269
m: 10000000000000000000000000000000000
deg: 4
c4: 101800
c0: -1
skew: 0.06
# Murphy_E = 3.201e-09
type: snfs
lss: 1
rlim: 1570000
alim: 1570000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1570000/1570000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [785000, 1485001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 236946 x 237171
Total sieving time: 6.92 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,141.000,4,0,0,0,0,0,0,0,0,1570000,1570000,26,26,48,48,2.3,2.3,100000
total time: 6.97 hours.

GNFS, Msieve

138044963381741098491599051181407719103047695111166124416972453999112575069424139960641777920103448368399218028166354413<120>

322427212419852913849532101010256844044426043961672893<54>
428143029075300257814372363103016124094183820538908206361860710641<66>

N=138044963381741098491599051181407719103047695111166124416972453999112575069424139960641777920103448368399218028166354413
  ( 120 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=322427212419852913849532101010256844044426043961672893 (pp54)
 r2=428143029075300257814372363103016124094183820538908206361860710641 (pp66)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.85 hours.
Scaled time: 61.19 units (timescale=7.794).
Factorization parameters were as follows:
n: 138044963381741098491599051181407719103047695111166124416972453999112575069424139960641777920103448368399218028166354413
m: 100000000000000000000000000000000000
deg: 4
c4: 1018
c0: -1
skew: 0.18
# Murphy_E = 2.744e-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, 1645001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 247878 x 248105
Total sieving time: 7.81 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: 7.85 hours.

GNFS, Msieve

67585885736024011203128234874126019634954994192695726902819000369417545217268751292562095834529263437527324171740003872744913<125>

6770255389733629886807333085975851608603258138909189231427<58>
9982767539096205663593640610031227454537884840844728469281866051419<67>

N=67585885736024011203128234874126019634954994192695726902819000369417545217268751292562095834529263437527324171740003872744913
  ( 125 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=6770255389733629886807333085975851608603258138909189231427 (pp58)
 r2=9982767539096205663593640610031227454537884840844728469281866051419 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.61 hours.
Scaled time: 75.31 units (timescale=7.837).
Factorization parameters were as follows:
n: 67585885736024011203128234874126019634954994192695726902819000369417545217268751292562095834529263437527324171740003872744913
m: 100000000000000000000000000000000000
deg: 4
c4: 101800
c0: -1
skew: 0.06
# Murphy_E = 2.016e-09
type: snfs
lss: 1
rlim: 1830000
alim: 1830000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1830000/1830000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [915000, 1915001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 285334 x 285560
Total sieving time: 9.55 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,145.000,4,0,0,0,0,0,0,0,0,1830000,1830000,26,26,49,49,2.3,2.3,100000
total time: 9.61 hours.

GNFS, Msieve

194306774831624457712419024030883217741871578586230992842179777581353070921982594004937795442593<96>

194478362497490590227075867741437899<36>
999117703051061289354268747222970345221295014629264181952707<60>

prp36 = 194478362497490590227075867741437899
prp60 = 999117703051061289354268747222970345221295014629264181952707

Yafu

24849533829149975489847888412937750000453571477375228266483606010864749117492183091101114930658686438131815817299956371<119>

2889798976875643070438174775167489680079605538729<49>
8599052746574256707044312511767537569954926728043554533709026034791899<70>

N=24849533829149975489847888412937750000453571477375228266483606010864749117492183091101114930658686438131815817299956371
  ( 119 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=2889798976875643070438174775167489680079605538729 (pp49)
 r2=8599052746574256707044312511767537569954926728043554533709026034791899 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.32 hours.
Scaled time: 41.62 units (timescale=7.819).
Factorization parameters were as follows:
n: 24849533829149975489847888412937750000453571477375228266483606010864749117492183091101114930658686438131815817299956371
m: 100000000000000000000000000000
deg: 5
c5: 509
c0: -5
skew: 0.40
# Murphy_E = 1.74e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 328514 x 328740
Total sieving time: 5.27 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 5.32 hours.

GNFS, Msieve

11928134357605510308443020449339370064643179030974039225742551798961548409803922073624261535603<95>

5614270384759476677270580218808133<34>
2124609885192860823986370656956466379311296278653510039413591<61>

03/10/22 01:59:41, starting SIQS on c95: 11928134357605510308443020449339370064643179030974039225742551798961548409803922073624261535603
03/10/22 01:59:41, random seed: 4179143730774003991
03/10/22 01:59:43, ==== sieve params ====
03/10/22 01:59:43, n = 95 digits, 315 bits
03/10/22 01:59:43, factor base: 90192 primes (max prime = 2461477)
03/10/22 01:59:43, single large prime cutoff: 319992010 (130 * pmax)
03/10/22 01:59:43, double large prime range from 6058869021529 to 5426344955570964
03/10/22 01:59:43, DLP MFB = 1.85
03/10/22 01:59:43, allocating 8 large prime slices of factor base
03/10/22 01:59:43, buckets hold 2048 elements
03/10/22 01:59:43, large prime hashtables have 1310720 bytes
03/10/22 01:59:43, using AVX2 enabled 32k sieve core
03/10/22 01:59:43, sieve interval: 10 blocks of size 32768
03/10/22 01:59:43, polynomial A has ~ 12 factors
03/10/22 01:59:43, using multiplier of 3
03/10/22 01:59:43, using multiplier of 3
03/10/22 01:59:43, using Q2(x) polynomials for kN mod 8 = 1
03/10/22 01:59:43, using SPV correction of 19 bits, starting at offset 32
03/10/22 01:59:43, trial factoring cutoff at 94 bits
03/10/22 01:59:43, ==== sieving started ( 8 threads) ====
03/10/22 02:09:42, trial division touched 142592540 sieve locations out of 1085767024640
03/10/22 02:09:42, total reports = 142592540, total surviving reports = 51537290
03/10/22 02:09:42, total blocks sieved = 33134980, avg surviving reports per block = 1.56
03/10/22 02:09:42, dlp-ecm: 52 failures, 1424448 attempts, 43725802 outside range, 6046560 prp, 1141489 useful
03/10/22 02:09:42, 91025 relations found: 23029 full + 67996 from 1458940 partial, using 1656749 polys (1618 A polys)
03/10/22 02:09:42, on average, sieving found 0.89 rels/poly and 2470.72 rels/sec
03/10/22 02:09:42, trial division touched 142592540 sieve locations out of 1085767024640
03/10/22 02:09:42, ==== post processing stage (msieve-1.38) ====
03/10/22 02:09:42, QS elapsed time = 599.9380 seconds.
03/10/22 02:09:44, begin singleton removal with 1481969 relations
03/10/22 02:09:45, reduce to 236794 relations in 11 passes
03/10/22 02:09:48, recovered 236794 relations
03/10/22 02:09:48, recovered 220704 polynomials
03/10/22 02:09:49, attempting to build 91025 cycles
03/10/22 02:09:49, found 91025 cycles from 236794 relations in 5 passes
03/10/22 02:09:49, distribution of cycle lengths:
03/10/22 02:09:50,    length 1 : 23029
03/10/22 02:09:50,    length 2 : 16028
03/10/22 02:09:50,    length 3 : 15094
03/10/22 02:09:50,    length 4 : 12246
03/10/22 02:09:50,    length 5 : 9085
03/10/22 02:09:51,    length 6 : 6203
03/10/22 02:09:51,    length 7 : 3983
03/10/22 02:09:51,    length 9+: 5357
03/10/22 02:09:51, largest cycle: 19 relations
03/10/22 02:09:52, matrix is 90192 x 91025 (26.1 MB) with weight 6119648 (67.23/col)
03/10/22 02:09:52, sparse part has weight 6119648 (67.23/col)
03/10/22 02:09:53, filtering completed in 3 passes
03/10/22 02:09:53, matrix is 84964 x 85028 (24.3 MB) with weight 5701618 (67.06/col)
03/10/22 02:09:53, sparse part has weight 5701618 (67.06/col)
03/10/22 02:09:54, saving the first 48 matrix rows for later
03/10/22 02:09:55, matrix is 84916 x 85028 (21.1 MB) with weight 5083799 (59.79/col)
03/10/22 02:09:55, sparse part has weight 4678630 (55.02/col)
03/10/22 02:09:55, matrix includes 64 packed rows
03/10/22 02:09:55, using block size 34011 for processor cache size 12288 kB
03/10/22 02:09:57, commencing Lanczos iteration
03/10/22 02:09:57, memory use: 16.4 MB
03/10/22 02:10:29, lanczos halted after 1344 iterations (dim = 84914)
03/10/22 02:10:29, recovered 15 nontrivial dependencies
03/10/22 02:10:30, prp34 = 5614270384759476677270580218808133
03/10/22 02:10:30, prp61 = 2124609885192860823986370656956466379311296278653510039413591
03/10/22 02:10:31, Lanczos elapsed time = 47.6750 seconds.
03/10/22 02:10:31, Sqrt elapsed time = 0.7220 seconds.
03/10/22 02:10:31, SIQS elapsed time = 648.3321 seconds.

55023120418533609786762292580826041119845181027771015553142490009989969133171769738991807227449275785594593427347672274210274237254774983<137>

2115021775658062485483744975816176657<37>
26015391922579074306389192705747696495925770805542124312205650318301327432243091033061066221728370519<101>

N=55023120418533609786762292580826041119845181027771015553142490009989969133171769738991807227449275785594593427347672274210274237254774983
  ( 137 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=2115021775658062485483744975816176657 (pp37)
 r2=26015391922579074306389192705747696495925770805542124312205650318301327432243091033061066221728370519 (pp101)
Version: Msieve v. 1.52 (SVN 927)
Total time: 17.21 hours.
Scaled time: 134.70 units (timescale=7.825).
Factorization parameters were as follows:
n: 55023120418533609786762292580826041119845181027771015553142490009989969133171769738991807227449275785594593427347672274210274237254774983
m: 100000000000000000000000000000000000000
deg: 4
c4: 509
c0: -5
skew: 0.31
# Murphy_E = 8.057e-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, 2950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 509193 x 509418
Total sieving time: 17.10 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,154.000,4,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 17.21 hours.

GNFS, Msieve

3910687886227325385172808264323425995430800413815015043085988138341620822673634720318189985190619321915308714181214486342711<124>

4949901383578077822289461240796212684793585651485299<52>
790053696665862012530617757366875346326107075677935135534526791968018989<72>

N=3910687886227325385172808264323425995430800413815015043085988138341620822673634720318189985190619321915308714181214486342711
  ( 124 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=4949901383578077822289461240796212684793585651485299 (pp52)
 r2=790053696665862012530617757366875346326107075677935135534526791968018989 (pp72)
Version: Msieve v. 1.52 (SVN 927)
Total time: 21.27 hours.
Scaled time: 166.00 units (timescale=7.806).
Factorization parameters were as follows:
n: 3910687886227325385172808264323425995430800413815015043085988138341620822673634720318189985190619321915308714181214486342711
m: 100000000000000000000000000000000000000
deg: 4
c4: 10180
c0: -1
skew: 0.10
# Murphy_E = 6.928e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 3400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 500837 x 501062
Total sieving time: 21.17 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,156.000,4,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 21.27 hours.

GNFS, Msieve

1615873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873<157>

165983646009313131292904162437827639209212763407<48>
9735133880492969126806880807583873817860094220220847993326389365136333838367173823123673520059418067386949039<109>

Number: n
N=1615873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873  ( 157 digits)
SNFS difficulty: 158 digits.
Divisors found:

Sat Mar 12 05:20:05 2022  p48 factor: 165983646009313131292904162437827639209212763407
Sat Mar 12 05:20:05 2022  p109 factor: 9735133880492969126806880807583873817860094220220847993326389365136333838367173823123673520059418067386949039
Sat Mar 12 05:20:05 2022  elapsed time 00:07:08 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 509x10^156-5 = 565(156)
#
n: 1615873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873
m: 10000000000000000000000000000000
deg: 5
c5: 1018
c0: -1
skew: 0.25
# Murphy_E = 7.1e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 14300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2060412 hash collisions in 16999428 relations (15981298 unique)
Msieve: matrix is 510400 x 510644 (78.6 MB)

Sieving start time : 2022/03/12 03:59:08
Sieving end time  : 2022/03/12 05:00:46

Total sieving time: 1hrs 1min 38secs.

Total relation processing time: 0hrs 2min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 57sec.

Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] 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)

27925267922743296798165379342032035678391012254893843021196035517622749983516245576793310550337641673804179866447493521678379799008891557252620157<146>

2411152520774356938641022327995331221361607<43>
11581709444815593717915514471682502760669786584309787145414910702838837135340564398170425903855289002651<104>

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 27925267922743296798165379342032035678391012254893843021196035517622749983516245576793310550337641673804179866447493521678379799008891557252620157 (146 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:216301114
Step 1 took 8094ms
Step 2 took 5344ms
********** Factor found in step 2: 2411152520774356938641022327995331221361607
Found probable prime factor of 43 digits: 2411152520774356938641022327995331221361607
Probable prime cofactor 11581709444815593717915514471682502760669786584309787145414910702838837135340564398170425903855289002651 has 104 digits

244323415666933342735000564665151072711325733741517982048690784111159220934830629222383753059040934191083836579844417<117>

7797867297024735025310398085992486888993502041<46>
31332081755245384615033556910320336766916078817226512159877078950352937<71>

N=244323415666933342735000564665151072711325733741517982048690784111159220934830629222383753059040934191083836579844417
  ( 117 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=7797867297024735025310398085992486888993502041 (pp46)
 r2=31332081755245384615033556910320336766916078817226512159877078950352937 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 25.35 hours.
Scaled time: 199.76 units (timescale=7.880).
Factorization parameters were as follows:
n: 244323415666933342735000564665151072711325733741517982048690784111159220934830629222383753059040934191083836579844417
m: 100000000000000000000000000000000
deg: 5
c5: 10180
c0: -1
skew: 0.16
# Murphy_E = 3.199e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 4000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 717094 x 717319
Total sieving time: 25.20 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 25.35 hours.

GNFS, Msieve

1291143654045815271244861818776814598827227976916320977490100866286438775934428803077135339012682814738700884370207197<118>

75734528936395631649364050883959389217398497<44>
17048282628524177119993202010474308487757803714768265867914190902038847101<74>

1291143654045815271244861818776814598827227976916320977490100866286438775934428803077135339012682814738700884370207197=75734528936395631649364050883959389217398497*17048282628524177119993202010474308487757803714768265867914190902038847101

cado polynomial
n: 1291143654045815271244861818776814598827227976916320977490100866286438775934428803077135339012682814738700884370207197
skew: 47546.868
c0: -6999272310465585415525567098
c1: 56312743601645971578119
c2: 8489057110920947146
c3: -7957777948420
c4: -767776584
c5: 30240
Y0: -33880698735639615639559
Y1: 59147793740948389
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.928e-06
# f(x) = 30240*x^5-767776584*x^4-7957777948420*x^3+8489057110920947146*x^2+56312743601645971578119*x-6999272310465585415525567098
# g(x) = 59147793740948389*x-33880698735639615639559

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 75734528936395631649364050883959389217398497 17048282628524177119993202010474308487757803714768265867914190902038847101
Info:Square Root: Total cpu/real time for sqrt: 230.91/68.7745
Info:Filtering - Singleton removal: Total cpu/real time for purge: 67.03/66.5947
Info:Linear Algebra: Total cpu/real time for bwc: 2190.32/569.08
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1318.74, WCT time 340.64, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15360 iterations)
Info:Linear Algebra: Lingen CPU time 78.07, WCT time 19.89
Info:Linear Algebra: Mksol: CPU time 765.2,  WCT time 197.08, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7680 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13449490
Info:Lattice Sieving: Average J: 1902.94 for 171667 special-q, max bucket fill -bkmult 1.0,1s:1.227240
Info:Lattice Sieving: Total time: 22152.5s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.13/1.37052
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1023.58
Info:Polynomial Selection (root optimized): Rootsieve time: 1021.22
Info:Generate Free Relations: Total cpu/real time for freerel: 126.01/32.7434
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.59/58.2517
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 58.2s
Info:Filtering - Merging: Merged matrix has 490838 rows and total weight 49351049 (100.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 35.29/11.529
Info:Filtering - Merging: Total cpu/real time for replay: 11.25/8.86887
Info:Quadratic Characters: Total cpu/real time for characters: 14.56/5.56551
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20102/34.340/41.770/46.520/1.025
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15778/33.780/36.934/42.260/0.775
Info:Polynomial Selection (size optimized): Total time: 2331.65
Info:Square Root: Total cpu/real time for sqrt: 230.91/68.7745
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 128.85/110.969
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 99.4s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 47125.8/13088.1
Info:root: Cleaning up computation data in /tmp/cado.z6_5a9lu
75734528936395631649364050883959389217398497 17048282628524177119993202010474308487757803714768265867914190902038847101

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)

4128756195908336215884256402643648196334568413679500531254022627548529754737069002449620466917635562450057294510332424998773729087<130>

17511106439940338111795474518326204096273594241238820918991<59>
235779287280855752331487142475688500463079779629820538280986597348672657<72>

N=4128756195908336215884256402643648196334568413679500531254022627548529754737069002449620466917635562450057294510332424998773729087
  ( 130 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=17511106439940338111795474518326204096273594241238820918991 (pp59)
 r2=235779287280855752331487142475688500463079779629820538280986597348672657 (pp72)
Version: Msieve v. 1.52 (SVN 927)
Total time: 27.83 hours.
Scaled time: 218.95 units (timescale=7.868).
Factorization parameters were as follows:
n: 4128756195908336215884256402643648196334568413679500531254022627548529754737069002449620466917635562450057294510332424998773729087
m: 1000000000000000000000000000000000
deg: 5
c5: 1018
c0: -1
skew: 0.25
# Murphy_E = 2.892e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2200000, 4300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 827359 x 827582
Total sieving time: 27.63 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,52,52,2.4,2.4,100000
total time: 27.83 hours.

GNFS, Msieve

1355866768557171827358331830972105452130144450072234116588171072739226119149094470362722115103462871391069473821154607685327820753276511<136>

1959836133448741378082056829763608490532789152034511<52>
691826599896002940735237335845629252992908672605476903928096691649967162611622022001<84>

N=1355866768557171827358331830972105452130144450072234116588171072739226119149094470362722115103462871391069473821154607685327820753276511
  ( 136 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=1959836133448741378082056829763608490532789152034511 (pp52)
 r2=691826599896002940735237335845629252992908672605476903928096691649967162611622022001 (pp84)
Version: Msieve v. 1.52 (SVN 927)
Total time: 58.92 hours.
Scaled time: 462.13 units (timescale=7.843).
Factorization parameters were as follows:
n: 1355866768557171827358331830972105452130144450072234116588171072739226119149094470362722115103462871391069473821154607685327820753276511
m: 10000000000000000000000000000000000
deg: 5
c5: 10180
c0: -1
skew: 0.16
# Murphy_E = 1.289e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 7400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1186586 x 1186834
Total sieving time: 58.56 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 58.92 hours.

GNFS, Msieve

377037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<174>

345040516455658632448081566425621813<36>

1092732647487473538474314277309473033738140883881231140496105475365153688548356952522456880812796447041170104956488106103911410202473311449<139>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1929183061
Step 1 took 4985ms
********** Factor found in step 1: 345040516455658632448081566425621813
Found prime factor of 36 digits: 345040516455658632448081566425621813
Composite cofactor 1092732647487473538474314277309473033738140883881231140496105475365153688548356952522456880812796447041170104956488106103911410202473311449 has 139 digits

GMP-ECM

1092732647487473538474314277309473033738140883881231140496105475365153688548356952522456880812796447041170104956488106103911410202473311449<139>

606943275672562345603271424855997109954487257<45>
1800386776303932497168255317532790335532684318576333501219212720408559517604752518828085555457<94>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1092732647487473538474314277309473033738140883881231140496105475365153688548356952522456880812796447041170104956488106103911410202473311449 (139 digits)
Using B1=20970000, B2=70273279450, polynomial Dickson(12), sigma=1:2225084439
Step 1 took 34543ms
Step 2 took 14391ms
********** Factor found in step 2: 606943275672562345603271424855997109954487257
Found prime factor of 45 digits: 606943275672562345603271424855997109954487257
Prime cofactor 1800386776303932497168255317532790335532684318576333501219212720408559517604752518828085555457 has 94 digits

1945614445807311050692711082105019440061603886992115481551721093501140706295847613651228309688603968369637571953977701993228294655005509901750808939375175629689084905913<169>

1585377028879041778005970601475583085025841485499343597840804723<64>
1227225076663927123137638275067829949721516705806897797847094285404971040773124597723712870053475607626531<106>

Number: n
N=1945614445807311050692711082105019440061603886992115481551721093501140706295847613651228309688603968369637571953977701993228294655005509901750808939375175629689084905913  ( 169 digits)
SNFS difficulty: 177 digits.
Divisors found:

Mon Mar 14 21:45:14 2022  p64 factor: 1585377028879041778005970601475583085025841485499343597840804723
Mon Mar 14 21:45:14 2022  p106 factor: 1227225076663927123137638275067829949721516705806897797847094285404971040773124597723712870053475607626531
Mon Mar 14 21:45:14 2022  elapsed time 00:22:56 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.306).
Factorization parameters were as follows:
#
# N = 509x10^175-5 = 565(175)
#
n: 1945614445807311050692711082105019440061603886992115481551721093501140706295847613651228309688603968369637571953977701993228294655005509901750808939375175629689084905913
m: 100000000000000000000000000000000000
deg: 5
c5: 509
c0: -5
skew: 0.40
# Murphy_E = 1.18e-10
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 30400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5334437 hash collisions in 36913327 relations (33604122 unique)
Msieve: matrix is 939629 x 939876 (264.0 MB)

Sieving start time : 2022/03/14 17:34:37
Sieving end time  : 2022/03/14 21:20:49

Total sieving time: 3hrs 46min 12secs.

Total relation processing time: 0hrs 11min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 57sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
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)

3472518661699551295520970586593037490843364326041187689331053848195618646433878294431384055104702085406952303518175899953293617088863314638173<142>

28156597661840104771706541902240467985503007<44>
123328773717776433593226043818933327044546245554859534471008564281640876646486179970851913151988739<99>

Tue May 17 20:25:58 2022  Msieve v. 1.53 (SVN unknown)
Tue May 17 20:25:58 2022  random seeds: eddc9898 fd64fff6
Tue May 17 20:25:58 2022  factoring 3472518661699551295520970586593037490843364326041187689331053848195618646433878294431384055104702085406952303518175899953293617088863314638173 (142 digits)
Tue May 17 20:25:58 2022  searching for 15-digit factors
Tue May 17 20:25:59 2022  commencing number field sieve (142-digit input)
Tue May 17 20:25:59 2022  R0: -100000000000000000000000000000000000
Tue May 17 20:25:59 2022  R1: 1
Tue May 17 20:25:59 2022  A0: -1
Tue May 17 20:25:59 2022  A1: 0
Tue May 17 20:25:59 2022  A2: 0
Tue May 17 20:25:59 2022  A3: 0
Tue May 17 20:25:59 2022  A4: 0
Tue May 17 20:25:59 2022  A5: 1018
Tue May 17 20:25:59 2022  skew 0.25, size 1.742e-12, alpha 0.849, combined = 1.156e-10 rroots = 1
Tue May 17 20:25:59 2022  
Tue May 17 20:25:59 2022  commencing square root phase
Tue May 17 20:25:59 2022  reading relations for dependency 1
Tue May 17 20:25:59 2022  read 646296 cycles
Tue May 17 20:26:00 2022  cycles contain 2226558 unique relations
Tue May 17 20:26:16 2022  read 2226558 relations
Tue May 17 20:26:23 2022  multiplying 2226558 relations
Tue May 17 20:27:09 2022  multiply complete, coefficients have about 69.17 million bits
Tue May 17 20:27:09 2022  initial square root is modulo 92311
Tue May 17 20:28:02 2022  GCD is N, no factor found
Tue May 17 20:28:02 2022  reading relations for dependency 2
Tue May 17 20:28:02 2022  read 645619 cycles
Tue May 17 20:28:03 2022  cycles contain 2226984 unique relations
Tue May 17 20:28:19 2022  read 2226984 relations
Tue May 17 20:28:26 2022  multiplying 2226984 relations
Tue May 17 20:29:13 2022  multiply complete, coefficients have about 69.18 million bits
Tue May 17 20:29:13 2022  initial square root is modulo 92551
Tue May 17 20:30:08 2022  sqrtTime: 249
Tue May 17 20:30:08 2022  p44 factor: 28156597661840104771706541902240467985503007
Tue May 17 20:30:08 2022  p99 factor: 123328773717776433593226043818933327044546245554859534471008564281640876646486179970851913151988739
Tue May 17 20:30:08 2022  elapsed time 00:04:10
Tue May 17 20:30:08 2022 -> Computing time scale for this machine...
Tue May 17 20:30:08 2022 -> procrels -speedtest> PIPE

156212637974498917071718768499520058680641165442844660678434017959359320442987254459260132859699361457688306149<111>

60230568150340347991528906348714002880943671762503869<53>
2593577360661443440595252035015356105093434729582230402121<58>

60230568150340347991528906348714002880943671762503869 2593577360661443440595252035015356105093434729582230402121

n: 156212637974498917071718768499520058680641165442844660678434017959359320442987254459260132859699361457688306149
skew: 18790.903
c0: 21271315432352268155767934
c1: -13522694207733119314117
c2: -461086293661056794
c3: 42150234212941
c4: 662384076
c5: -34560
Y0: -2249886856809709025678
Y1: 5967749853023659
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.468e-06
# f(x) = -34560*x^5+662384076*x^4+42150234212941*x^3-461086293661056794*x^2-13522694207733119314117*x+21271315432352268155767934
# g(x) = 5967749853023659*x-2249886856809709025678

cado-nfs 3.0.0

235981171964585609946774242962107312801824532276096016618185431703522479142491862140208708861318827<99>

11505682210703803102990122465016087<35>
20509967826597101098639471740007869247198690613289494769897563021<65>

prp35 = 11505682210703803102990122465016087
prp65 = 20509967826597101098639471740007869247198690613289494769897563021

Yafu

405852569469361719092612526412311127058166885938683570545787983893473667424151815970976358489813818123828888091536100147510265917155045249770761073236853645895626519953753538253<177>

8848192463054400680019222783482587142159817601<46>
133117895081971177235342570618930043996323586796517089<54>
344569868699672875914332795543940142433721960702423388595912828565935182826477<78>

Number: n
N=405852569469361719092612526412311127058166885938683570545787983893473667424151815970976358489813818123828888091536100147510265917155045249770761073236853645895626519953753538253  ( 177 digits)
SNFS difficulty: 181 digits.
Divisors found:

Sun Mar 13 22:12:39 2022  found factor: 344569868699672875914332795543940142433721960702423388595912828565935182826477
Sun Mar 13 22:13:45 2022  p46 factor: 8848192463054400680019222783482587142159817601
Sun Mar 13 22:13:45 2022  p54 factor: 133117895081971177235342570618930043996323586796517089
Sun Mar 13 22:13:45 2022  p78 factor: 344569868699672875914332795543940142433721960702423388595912828565935182826477
Sun Mar 13 22:13:45 2022  elapsed time 00:23:37 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.300).
Factorization parameters were as follows:
#
# N = 509x10^179-5 = 565(179)
#
n: 405852569469361719092612526412311127058166885938683570545787983893473667424151815970976358489813818123828888091536100147510265917155045249770761073236853645895626519953753538253
m: 100000000000000000000000000000000000
deg: 5
c5: 1018000
c0: -1
skew: 0.06
# Murphy_E = 6.5e-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, 23650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4089011 hash collisions in 35630295 relations (32890827 unique)
Msieve: matrix is 910656 x 910881 (307.0 MB)

Sieving start time : 2022/03/13 15:50:24
Sieving end time  : 2022/03/13 21:48:56
Total sieving time: 5hrs 58min 32secs.

Total relation processing time: 0hrs 12min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 13sec.

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) ----------
[    0.116350] 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)

118557993749610923352167365380283435524209707116952628838744936832679430678504591502452228270531644219195436641794655349041389384063586113289148399526421607969063984883916357<174>

66918600058723783484072555408309477068150973<44>
22747783285358828980303203114943902028761654217926779263166947<62>
77883401806426823665762587265109297294134408722114420076512034870147<68>

Number: n
N=118557993749610923352167365380283435524209707116952628838744936832679430678504591502452228270531644219195436641794655349041389384063586113289148399526421607969063984883916357  ( 174 digits)
SNFS difficulty: 182 digits.
Divisors found:

Mon Mar 14 05:10:17 2022  found factor: 66918600058723783484072555408309477068150973
Mon Mar 14 05:11:08 2022  p44 factor: 66918600058723783484072555408309477068150973
Mon Mar 14 05:11:08 2022  p62 factor: 22747783285358828980303203114943902028761654217926779263166947
Mon Mar 14 05:11:08 2022  p68 factor: 77883401806426823665762587265109297294134408722114420076512034870147
Mon Mar 14 05:11:08 2022  elapsed time 00:22:13 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.309).
Factorization parameters were as follows:
#
# N = 509x10^180-5 = 565(180)
#
n: 118557993749610923352167365380283435524209707116952628838744936832679430678504591502452228270531644219195436641794655349041389384063586113289148399526421607969063984883916357
m: 1000000000000000000000000000000000000
deg: 5
c5: 509
c0: -5
skew: 0.40
# Murphy_E = 7.416e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3780875 hash collisions in 35765818 relations (33405079 unique)
Msieve: matrix is 843613 x 843839 (283.6 MB)

Sieving start time : 2022/03/14 00:48:43
Sieving end time  : 2022/03/14 04:47:50
Total sieving time: 3hrs 59min 7secs.

Total relation processing time: 0hrs 10min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 34sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
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)

100559080989203171173568897982690686871673949837899315123989084219903395343688307961351672739850182433889399037<111>

2007015695991746476609529245586647175578364671396619<52>
50103784036184589922142114966016367309198555936837195987223<59>

100559080989203171173568897982690686871673949837899315123989084219903395343688307961351672739850182433889399037=2007015695991746476609529245586647175578364671396619*50103784036184589922142114966016367309198555936837195987223

cado polynomial
n: 100559080989203171173568897982690686871673949837899315123989084219903395343688307961351672739850182433889399037
skew: 63075.01
c0: 616357875506976620046579960
c1: -26023972431388893292506
c2: -861318808283832777
c3: 18546957565129
c4: 116816380
c5: 240
Y0: -3835860755765134296889
Y1: 71352304978489
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.551e-06
# f(x) = 240*x^5+116816380*x^4+18546957565129*x^3-861318808283832777*x^2-26023972431388893292506*x+616357875506976620046579960
# g(x) = 71352304978489*x-3835860755765134296889

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

cado log (extracts)
Info:Square Root: Factors: 50103784036184589922142114966016367309198555936837195987223 2007015695991746476609529245586647175578364671396619
Info:Square Root: Total cpu/real time for sqrt: 210.56/61.5201
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 91.56/113.789
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 84.60000000000001s
Info:Square Root: Total cpu/real time for sqrt: 210.56/61.5201
Info:Filtering - Singleton removal: Total cpu/real time for purge: 71.5/83.1608
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5382175
Info:Lattice Sieving: Average J: 1926.5 for 96977 special-q, max bucket fill -bkmult 1.0,1s:1.309420
Info:Lattice Sieving: Total time: 15481.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.34/1.02268
Info:Generate Free Relations: Total cpu/real time for freerel: 62.25/27.7056
Info:Linear Algebra: Total cpu/real time for bwc: 1157.65/299.15
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 702.54, WCT time 179.31, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9472 iterations)
Info:Linear Algebra: Lingen CPU time 45.89, WCT time 11.7
Info:Linear Algebra: Mksol: CPU time 384.86,  WCT time 98.3, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4736 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.4/27.1464
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 26.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 254.23
Info:Polynomial Selection (root optimized): Rootsieve time: 253.21
Info:Filtering - Merging: Merged matrix has 298802 rows and total weight 46421566 (155.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 45.54/13.6838
Info:Filtering - Merging: Total cpu/real time for replay: 9.85/7.97518
Info:Quadratic Characters: Total cpu/real time for characters: 11.07/4.26888
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11923/31.900/39.124/45.030/1.126
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9361/31.190/34.631/39.540/0.897
Info:Polynomial Selection (size optimized): Total time: 711.15
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 19409.1/8708.63
Info:root: Cleaning up computation data in /tmp/cado.sa2ima00
50103784036184589922142114966016367309198555936837195987223 2007015695991746476609529245586647175578364671396619

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)

1205940913042109753629024172606842373783355815453286692554045352936191253698676773784270432137923028011945041<109>

358114784298391425732821333162349273896809<42>
3367470336095606371080377263114731316069797961699992304831925524649<67>

3367470336095606371080377263114731316069797961699992304831925524649 358114784298391425732821333162349273896809

n: 1205940913042109753629024172606842373783355815453286692554045352936191253698676773784270432137923028011945041
skew: 15176.149
c0: 4137722103181998005317783
c1: -1610449337720646924800
c2: -156056378070710795
c3: 10015512505760
c4: 204971572
c5: 6240
Y0: -1202201947916323410270
Y1: 16649374880951
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 2.060e-06
# f(x) = 6240*x^5+204971572*x^4+10015512505760*x^3-156056378070710795*x^2-1610449337720646924800*x+4137722103181998005317783
# g(x) = 16649374880951*x-1202201947916323410270

cado-nfs 3.0.0

1865902801516377067525780395609216254681831928229976631356323564800388526354196854338603552913745909037824978350742864737785099523786891108729873526905621580714652956888419<172>

6411275938129628842038011559433883032887660414207467962410568734894787<70>
291034549054321267296359169368031194676837250968069082562313794881188490518888954880088411909172979937<102>

Number: n
N=1865902801516377067525780395609216254681831928229976631356323564800388526354196854338603552913745909037824978350742864737785099523786891108729873526905621580714652956888419  ( 172 digits)
SNFS difficulty: 188 digits.
Divisors found:

Thu Mar 17 12:17:56 2022  p70 factor: 6411275938129628842038011559433883032887660414207467962410568734894787
Thu Mar 17 12:17:56 2022  p102 factor: 291034549054321267296359169368031194676837250968069082562313794881188490518888954880088411909172979937
Thu Mar 17 12:17:56 2022  elapsed time 00:30:48 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 509x10^186-5 = 565(186)
#
n: 1865902801516377067525780395609216254681831928229976631356323564800388526354196854338603552913745909037824978350742864737785099523786891108729873526905621580714652956888419
m: 10000000000000000000000000000000000000
deg: 5
c5: 1018
c0: -1
skew: 0.25
# Murphy_E = 4.538e-11
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3933506 hash collisions in 36778032 relations (34300659 unique)
Msieve: matrix is 1085663 x 1085891 (366.9 MB)

Sieving start time : 2022/03/17 05:37:56
Sieving end time  : 2022/03/17 11:45:04

Total sieving time: 6hrs 7min 8secs.

Total relation processing time: 0hrs 19min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 14sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000
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)

66583865182825234851130206204738893814001915564582644323737659481586337719203004110729657120931332557108775678874109330331254087428827539679159<143>

46425164665493790839745266079888341730912029<44>
1434219257219236198474969648054916998289801028622750783106469665446977602191304812533438946032831971<100>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 66583865182825234851130206204738893814001915564582644323737659481586337719203004110729657120931332557108775678874109330331254087428827539679159 (143 digits)
Using B1=20620000, B2=70272954580, polynomial Dickson(12), sigma=1:2948066400
Step 1 took 41158ms
Step 2 took 16499ms
********** Factor found in step 2: 46425164665493790839745266079888341730912029
Found prime factor of 44 digits: 46425164665493790839745266079888341730912029
Prime cofactor 1434219257219236198474969648054916998289801028622750783106469665446977602191304812533438946032831971 has 100 digits

448077002336646703950177269890292996519341879026119082425644741430653641292915747754155793092605572363666996973350050145411557709437248706264753284160196034140944487791302093403<177>

122633775076068510424564012475048513954447502991204568866652821461685413961<75>
3653781366990529305211231111946708922893052992841527981686473397682980917399941627873688558214223144323<103>

Number: n
N=448077002336646703950177269890292996519341879026119082425644741430653641292915747754155793092605572363666996973350050145411557709437248706264753284160196034140944487791302093403  ( 177 digits)
SNFS difficulty: 190 digits.
Divisors found:

Thu Mar 17 05:35:59 2022  p75 factor: 122633775076068510424564012475048513954447502991204568866652821461685413961
Thu Mar 17 05:35:59 2022  p103 factor: 3653781366990529305211231111946708922893052992841527981686473397682980917399941627873688558214223144323
Thu Mar 17 05:35:59 2022  elapsed time 00:45:38 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 509x10^188-5 = 565(188)
#
n: 448077002336646703950177269890292996519341879026119082425644741430653641292915747754155793092605572363666996973350050145411557709437248706264753284160196034140944487791302093403
m: 10000000000000000000000000000000000000
deg: 5
c5: 101800
c0: -1
skew: 0.10
# Murphy_E = 2.83e-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, 25150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4755221 hash collisions in 36562195 relations (33065482 unique)
Msieve: matrix is 1348862 x 1349087 (460.3 MB)

Sieving start time : 2022/03/16 21:03:06
Sieving end time  : 2022/03/17 04:48:43

Total sieving time: 7hrs 45min 37secs.

Total relation processing time: 0hrs 32min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 44sec.

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)

1355378338506049754211616931723328734051863425559307246525276768804681881366970452093324141736417566153665960012725941<118>

202017812066164148484062840273141771159<39>
6709202147294522262860806124105845348319076726993692971034674911394933606506899<79>

1355378338506049754211616931723328734051863425559307246525276768804681881366970452093324141736417566153665960012725941=202017812066164148484062840273141771159*6709202147294522262860806124105845348319076726993692971034674911394933606506899

cado polynomial
n: 1355378338506049754211616931723328734051863425559307246525276768804681881366970452093324141736417566153665960012725941
skew: 46510.845
c0: -1894742371038838241424252963
c1: -7945277066682767895400
c2: 1857352662113130649
c3: -72648805055290
c4: 213382452
c5: 11340
Y0: -51388486431283495966384
Y1: 1522501947485531
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 2.116e-06
# f(x) = 11340*x^5+213382452*x^4-72648805055290*x^3+1857352662113130649*x^2-7945277066682767895400*x-1894742371038838241424252963
# g(x) = 1522501947485531*x-51388486431283495966384

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 6709202147294522262860806124105845348319076726993692971034674911394933606506899 202017812066164148484062840273141771159
Info:Square Root: Total cpu/real time for sqrt: 115.63/35.0313
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 132.67/111.39
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 99.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 70.86/68.4522
Info:Generate Free Relations: Total cpu/real time for freerel: 126.63/32.3809
Info:Linear Algebra: Total cpu/real time for bwc: 2111.88/550.16
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1271.76, WCT time 329.11, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15232 iterations)
Info:Linear Algebra: Lingen CPU time 76.48, WCT time 19.55
Info:Linear Algebra: Mksol: CPU time 735.38,  WCT time 189.93, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7680 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13450432
Info:Lattice Sieving: Average J: 1906.83 for 162429 special-q, max bucket fill -bkmult 1.0,1s:1.242740
Info:Lattice Sieving: Total time: 21252.2s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.15/1.36309
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1050.93
Info:Polynomial Selection (root optimized): Rootsieve time: 1048.54
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.31/56.5314
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 56.4s
Info:Filtering - Merging: Merged matrix has 483887 rows and total weight 48734278 (100.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 34.9/11.6052
Info:Filtering - Merging: Total cpu/real time for replay: 11.27/8.79161
Info:Quadratic Characters: Total cpu/real time for characters: 14.33/5.52882
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 19907/33.830/41.762/46.200/1.040
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15598/33.230/36.959/42.300/0.818
Info:Polynomial Selection (size optimized): Total time: 2318.45
Info:Square Root: Total cpu/real time for sqrt: 115.63/35.0313
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 45266.2/12593.9
Info:root: Cleaning up computation data in /tmp/cado.y7627ifs
6709202147294522262860806124105845348319076726993692971034674911394933606506899 202017812066164148484062840273141771159

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)

159558627607717747370730866287362267049105813388504882368614911991975047413049952195106659770223037256469334336452406702089308945000862055453676274666541276782495572169715208225576401623799<189>

1651051307014763517101076440932437461703201534899074978849956050285113<70>
96640623419639733748271898299975140136141652975339801818992474772791506655211874252649139269617986596007421923785717423<119>

Number: n
N=159558627607717747370730866287362267049105813388504882368614911991975047413049952195106659770223037256469334336452406702089308945000862055453676274666541276782495572169715208225576401623799  ( 189 digits)
SNFS difficulty: 193 digits.
Divisors found:

Sun Apr  3 12:15:11 2022  p70 factor: 1651051307014763517101076440932437461703201534899074978849956050285113
Sun Apr  3 12:15:11 2022  p119 factor: 96640623419639733748271898299975140136141652975339801818992474772791506655211874252649139269617986596007421923785717423
Sun Apr  3 12:15:11 2022  elapsed time 00:40:33 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 509x10^191-5 = 565(191)
#
n: 159558627607717747370730866287362267049105813388504882368614911991975047413049952195106659770223037256469334336452406702089308945000862055453676274666541276782495572169715208225576401623799
m: 100000000000000000000000000000000000000
deg: 5
c5: 1018
c0: -1
skew: 0.25
# Murphy_E = 2.825e-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 3866010 hash collisions in 31733395 relations (29717087 unique)
Msieve: matrix is 1321475 x 1321700 (457.7 MB)

Sieving start time : 2022/04/03 06:24:32
Sieving end time  : 2022/04/03 11:34:00

Total sieving time: 5hrs 9min 28secs.

Total relation processing time: 0hrs 30min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 32sec.

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)

7851390168362886775080293024090861401465190340471828733967861991817924176722583404540176079518771475287648025516570449452216871731536442444594299113017266508309356197166034513801988679<184>

166631107720536617730705525370220691453817<42>
47118393892758322770364116782406447864914337807134793407072876510725840352647955776959355838036171005506900194092408962814682818104785709309887<143>

Number: n
N=7851390168362886775080293024090861401465190340471828733967861991817924176722583404540176079518771475287648025516570449452216871731536442444594299113017266508309356197166034513801988679  ( 184 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sun Apr 10 01:05:49 2022  p42 factor: 166631107720536617730705525370220691453817
Sun Apr 10 01:05:49 2022  p143 factor: 47118393892758322770364116782406447864914337807134793407072876510725840352647955776959355838036171005506900194092408962814682818104785709309887
Sun Apr 10 01:05:49 2022  elapsed time 01:08:29 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 509x10^195-5 = 565(195)
#
n: 7851390168362886775080293024090861401465190340471828733967861991817924176722583404540176079518771475287648025516570449452216871731536442444594299113017266508309356197166034513801988679
m: 1000000000000000000000000000000000000000
deg: 5
c5: 509
c0: -5
skew: 0.40
# Murphy_E = 1.791e-11
type: snfs
lss: 1
rlim: 13800000
alim: 13800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13800000/13800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4163035 hash collisions in 31266266 relations (28800782 unique)
Msieve: matrix is 1668561 x 1668786 (581.5 MB)

Sieving start time : 2022/04/09 16:58:43
Sieving end time  : 2022/04/09 23:56:43

Total sieving time: 6hrs 58min 0secs.

Total relation processing time: 0hrs 55min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 16sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13800000,13800000,28,28,55,55,2.5,2.5,100000
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)

201644168934628797164540070090703916171676011527618400774683793901644140345896543249070705514626830648493002476821786875981954201763604647637442414498047<153>

173612191730254655799220353672291898995371<42>
1161463183691201153809845810497634406933158948650780944281828131647269224880330821875103014394758721919061768957<112>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 201644168934628797164540070090703916171676011527618400774683793901644140345896543249070705514626830648493002476821786875981954201763604647637442414498047 (153 digits)
Using B1=19230000, B2=70271655100, polynomial Dickson(12), sigma=1:1858454806
Step 1 took 30310ms
Step 2 took 13273ms
********** Factor found in step 2: 173612191730254655799220353672291898995371
Found prime factor of 42 digits: 173612191730254655799220353672291898995371
Prime cofactor 1161463183691201153809845810497634406933158948650780944281828131647269224880330821875103014394758721919061768957 has 112 digits

80493590247885949507462628654859009243752861898848698970797379928598463689603286833625526985529093469365684303906301078023394797500112800897975673970408974141160290954839<170>

264671624116979020328177313736007833284281291<45>
304126256512899010150433607455780674002527661983926676799545201239545222967193726843481174143890832894105683067413728944891429<126>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1407609870
Step 1 took 19324ms
Step 2 took 8932ms
********** Factor found in step 2: 264671624116979020328177313736007833284281291
Found prime factor of 45 digits: 264671624116979020328177313736007833284281291
Prime cofactor 304126256512899010150433607455780674002527661983926676799545201239545222967193726843481174143890832894105683067413728944891429 has 126 digits

274687452097742266745854374658844329887177857411534572388408424706808206675182324782087601772984617004332063891148892356243931312731791989458448085359251884067211831175451491778642232551<186>

86473235325721911620804008457421956500687100077<47>
3176560366488740149414557748254957958920127862749198933461502172147842452201567536023855737936898237357479946046970130718702595834423960163<139>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 274687452097742266745854374658844329887177857411534572388408424706808206675182324782087601772984617004332063891148892356243931312731791989458448085359251884067211831175451491778642232551 (186 digits)
Using B1=15310000, B2=46847878360, polynomial Dickson(12), sigma=1:2135651346
Step 1 took 42650ms
Step 2 took 16285ms
********** Factor found in step 2: 86473235325721911620804008457421956500687100077
Found prime factor of 47 digits: 86473235325721911620804008457421956500687100077
Prime cofactor 3176560366488740149414557748254957958920127862749198933461502172147842452201567536023855737936898237357479946046970130718702595834423960163 has 139 digits

405926721080302102755364611493690520835874206807465369339267542873780032290499965885700736929247911302985013457267653545853394601543911359558839523996473928731148792772921562627<177>

199362789463252523588786159215521384689050506215843528649347885020662221588050341781<84>
2036120793520118776155202139876516744121453712517952714895399816383798000322424115538232109367<94>

405926721080302102755364611493690520835874206807465369339267542873780032290499965885700736929247911302985013457267653545853394601543911359558839523996473928731148792772921562627=199362789463252523588786159215521384689050506215843528649347885020662221588050341781*2036120793520118776155202139876516744121453712517952714895399816383798000322424115538232109367

cado polynomial
n: 405926721080302102755364611493690520835874206807465369339267542873780032290499965885700736929247911302985013457267653545853394601543911359558839523996473928731148792772921562627
skew: 0.40
type: snfs
c0: -5
c5: 509
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 509*x^5-5
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16700000
tasks.lim1 = 16700000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 199362789463252523588786159215521384689050506215843528649347885020662221588050341781 2036120793520118776155202139876516744121453712517952714895399816383798000322424115538232109367
Info:Square Root: Total cpu/real time for sqrt: 831.24/271.782
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 190.61/187.686
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 187.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 207.4/216.53
Info:Filtering - Merging: Merged matrix has 2703315 rows and total weight 460398685 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 742.5/206.022
Info:Filtering - Merging: Total cpu/real time for replay: 106.54/103.986
Info:Generate Factor Base: Total cpu/real time for makefb: 7.1/3.02967
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 43275491
Info:Lattice Sieving: Average J: 3790.31 for 1575811 special-q, max bucket fill -bkmult 1.0,1s:1.072870
Info:Lattice Sieving: Total time: 730042s
Info:Linear Algebra: Total cpu/real time for bwc: 129705/34097.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 83334.04, WCT time 21785.8, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (84992 iterations)
Info:Linear Algebra: Lingen CPU time 595.59, WCT time 153.78
Info:Linear Algebra: Mksol: CPU time 44795.35,  WCT time 11772.45, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (42496 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 238.1/62.6881
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 514.53/488.314
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 463.9s
Info:Quadratic Characters: Total cpu/real time for characters: 98.98/43.6614
Info:Square Root: Total cpu/real time for sqrt: 831.24/271.782
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.50918e+06/295127
Info:root: Cleaning up computation data in /tmp/cado.0qlki0il
199362789463252523588786159215521384689050506215843528649347885020662221588050341781 2036120793520118776155202139876516744121453712517952714895399816383798000322424115538232109367

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)

8708962165552952223992005194315643506333790443780578338513974262369183116585384925556148719511215728403628685704818207013094694882457684239449251955443786221<157>

8849160835287345577885142312639116048920464781369936097243944044827451320819681898286419351592410155434141942220899653196608657234920600602281422816847318502452942079181<169>

5478372729031158120872097281510347538938235855734724319874350411421<67>
1615290027345822123956766626877524716228278101063367479644004938402379786779621530777883943541879832561<103>

Number: n
N=8849160835287345577885142312639116048920464781369936097243944044827451320819681898286419351592410155434141942220899653196608657234920600602281422816847318502452942079181  ( 169 digits)
SNFS difficulty: 206 digits.
Divisors found:

Fri Mar 29 11:14:07 2024  prp67 factor: 5478372729031158120872097281510347538938235855734724319874350411421
Fri Mar 29 11:14:07 2024  prp103 factor: 1615290027345822123956766626877524716228278101063367479644004938402379786779621530777883943541879832561
Fri Mar 29 11:14:07 2024  elapsed time 03:09:51 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.093).
Factorization parameters were as follows:
#
# N = 509x10^204-5 = 565(204)
#
n: 8849160835287345577885142312639116048920464781369936097243944044827451320819681898286419351592410155434141942220899653196608657234920600602281422816847318502452942079181
m: 10000000000000000000000000000000000
deg: 6
c6: 509
c0: -5
skew: 0.46
# Murphy_E = 8.619e-12
type: snfs
lss: 1
rlim: 19500000
alim: 19500000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19500000/19500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 64150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3221651 hash collisions in 19407924 relations (16903907 unique)
Msieve: matrix is 2442346 x 2442571 (687.2 MB)

Sieving start time: 2024/03/28 02:42:04
Sieving end time  : 2024/03/29 08:03:55

Total sieving time: 29hrs 21min 51secs.

Total relation processing time: 3hrs 0min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 51sec.

Prototype def-par.txt line would be:
snfs,206,6,0,0,0,0,0,0,0,0,19500000,19500000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3157871079500595202654759223805001784250383197517583274406744674703729877977441026404567227863645758311168592299508760301572589393004416194284642375508542711785482954420921<172>

777618617773925543132455443563349407<36>
4060950969178920157204379425338976342293168512141467293091419311420599139672044466731987575061007652466201674542921072075677538353576103<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2620257578
Step 1 took 6520ms
Step 2 took 3245ms
********** Factor found in step 2: 777618617773925543132455443563349407
Found prime factor of 36 digits: 777618617773925543132455443563349407
Prime cofactor 4060950969178920157204379425338976342293168512141467293091419311420599139672044466731987575061007652466201674542921072075677538353576103 has 136 digits

568399141963319657347220221192154259727109053608127004083533148813657139137290872097555315019881312920877807229444687686103<123>

1171734894769047507602634882529955528570369017918307304421199<61>
485091930351150673637373850015741037767001507673943157817410297<63>

568399141963319657347220221192154259727109053608127004083533148813657139137290872097555315019881312920877807229444687686103=1171734894769047507602634882529955528570369017918307304421199*485091930351150673637373850015741037767001507673943157817410297

cado polynomial
n: 568399141963319657347220221192154259727109053608127004083533148813657139137290872097555315019881312920877807229444687686103
skew: 75705.374
c0: 37702493145640819859289038508
c1: -893701640099674729661857
c2: -60889004427352632198
c3: -836313336872423
c4: 8829725010
c5: 5400
Y0: -1258502186378354877737154
Y1: 196808836632919
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.227e-07
# f(x) = 5400*x^5+8829725010*x^4-836313336872423*x^3-60889004427352632198*x^2-893701640099674729661857*x+37702493145640819859289038508
# g(x) = 196808836632919*x-1258502186378354877737154

cado parameters (extracts)
tasks.lim0 = 2377918
tasks.lim1 = 9209388
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 57
tasks.sieve.mfb1 = 53
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1171734894769047507602634882529955528570369017918307304421199 485091930351150673637373850015741037767001507673943157817410297
Info:Square Root: Total cpu/real time for sqrt: 238.19/71.006
Info:Filtering - Singleton removal: Total cpu/real time for purge: 58.31/64.9872
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11630999
Info:Lattice Sieving: Average J: 3798.38 for 157453 special-q, max bucket fill -bkmult 1.0,1s:1.194600
Info:Lattice Sieving: Total time: 58646.2s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.56/2.28317
Info:Linear Algebra: Total cpu/real time for bwc: 7210.23/1854.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4519.27, WCT time 1155.36, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (21760 iterations)
Info:Linear Algebra: Lingen CPU time 119.56, WCT time 30.41
Info:Linear Algebra: Mksol: CPU time 2465.26,  WCT time 629.14, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11008 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 126.19/32.9036
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.48/54.7932
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 54.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2814.57
Info:Polynomial Selection (root optimized): Rootsieve time: 2811.89
Info:Filtering - Merging: Merged matrix has 693371 rows and total weight 118081335 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 136.94/39.8879
Info:Filtering - Merging: Total cpu/real time for replay: 25.46/20.8643
Info:Quadratic Characters: Total cpu/real time for characters: 25.42/10.0964
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20334/36.370/43.719/48.700/0.900
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15923/35.900/39.083/44.460/0.885
Info:Polynomial Selection (size optimized): Total time: 2422.41
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 127.07/109.181
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 97.3s
Info:Square Root: Total cpu/real time for sqrt: 238.19/71.006
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 124932/17893.6
Info:root: Cleaning up computation data in /tmp/cado.rmy49k5p
1171734894769047507602634882529955528570369017918307304421199 485091930351150673637373850015741037767001507673943157817410297

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)

63693518711068131932531477353552163411717615248626088725344227944063344274878993089437079863907489623896208537785189319262695298888547263740866902530888204086046334712220635873497710469<185>

24060405959928934172145603908285461438043634463358001924371566360010373470344532518927<86>
2647233750633535020809114704735245333739931610608041489647859243549396310226673754650401524916136747<100>

Number: n
N=63693518711068131932531477353552163411717615248626088725344227944063344274878993089437079863907489623896208537785189319262695298888547263740866902530888204086046334712220635873497710469  ( 185 digits)
SNFS difficulty: 209 digits.
Divisors found:

Thu Oct 17 13:25:20 2024  prp86 factor: 24060405959928934172145603908285461438043634463358001924371566360010373470344532518927
Thu Oct 17 13:25:20 2024  prp100 factor: 2647233750633535020809114704735245333739931610608041489647859243549396310226673754650401524916136747
Thu Oct 17 13:25:20 2024  elapsed time 04:17:47 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.105).
Factorization parameters were as follows:
#
# N = 509x10^207-5 = 565(207)
#
n: 63693518711068131932531477353552163411717615248626088725344227944063344274878993089437079863907489623896208537785189319262695298888547263740866902530888204086046334712220635873497710469
m: 100000000000000000000000000000000000000000
deg: 5
c5: 10180
c0: -1
skew: 0.16
# Murphy_E = 4.663e-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, 95650000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8757309 hash collisions in 28477819 relations (17516038 unique)
Msieve: matrix is 2787894 x 2788119 (782.9 MB)

Sieving start time: 2024/10/15 07:38:39
Sieving end time  : 2024/10/17 09:00:04

Total sieving time: 49hrs 21min 25secs.

Total relation processing time: 4hrs 4min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 8sec.

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) ----------

274983795870759097287635714690223321555574764983511894614931304991915556087273731531819835972916701159507613593724111925048830443389915082359344577592003587476417954895586233768882571695330484576301919<201>

16751080731380536095747086856900838973867<41>

16415883863279332250629447021479743373973530122307666535965864112252901047632469275063122655462055368809828835233774141679248169327982355119498254290095445174557<161>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1219088415
Step 1 took 95125ms
Step 2 took 34379ms
********** Factor found in step 2: 16751080731380536095747086856900838973867
Found prime factor of 41 digits: 16751080731380536095747086856900838973867
Composite cofactor 16415883863279332250629447021479743373973530122307666535965864112252901047632469275063122655462055368809828835233774141679248169327982355119498254290095445174557 has 161 digits

15935054400495487275677646818580686191243591784085962230853408453175906488510948555011575623725880656646864369338293954651538465953659569278965691914187568242729480306703<170>

228424303781956228907908524703698834584204898788183260419840179929026993335553624209873377116453483556800616943492515699497249293625185355764169692239<150>

12470905304422393727796153374984687002327575646208501776307730001225039813793948303319857895381599901996814896484135734411368369472007840254808281269141247090530442239372779615337498468700232757564620850177630773<212>

25008265870588218242370433783602492778740399485183474567392007097827349172212888341458440303242665595192674317378133406127531199469883722127114657076856517973364526354621975863780712785200786281497118608038939<209>

145670125014746966612299396470518273320511417526014432640483982352821755583644913356003124339564126947959392241229494984184243171428489541474453080400797705529429401157923318633701<180>

244505018431255884842960290361178153334112488707422298757042411197690537507414686786575994985653891920681490339484623245688346406082364429671859435067<150>

931538124020134542993293527506539<33>
262474516207745760936491220328966784144742245601697143627164651904837952889442158230858822364145630002613912949021553<117>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2626249756
Step 1 took 5922ms
Step 2 took 3375ms
********** Factor found in step 2: 931538124020134542993293527506539
Found prime factor of 33 digits: 931538124020134542993293527506539
Prime cofactor 262474516207745760936491220328966784144742245601697143627164651904837952889442158230858822364145630002613912949021553 has 117 digits

GMP-ECM

79288272825552222876766653568862468500547208802633747612418868942757296207015339520174257185218458465806889640047625511012893036086078276791188413693418110915275157782616409<173>

595640004787312949219645496871292289215950344167719187065616626222178865551214874672463807895307681152005169981676900448469373399080225224820307755723067641569401832186027316404769064590979<189>

452166280648264136706630675418460107<36>

1317303015017733404198413043289106901431241379992400869049596803067171242581295612883537546507481002956364700219252966942084619311378364254033354777625897<154>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=632919740
Step 1 took 8185ms
Step 2 took 3144ms
********** Factor found in step 2: 452166280648264136706630675418460107
Found probable prime factor of 36 digits: 452166280648264136706630675418460107
Composite cofactor 1317303015017733404198413043289106901431241379992400869049596803067171242581295612883537546507481002956364700219252966942084619311378364254033354777625897 has 154 digits

1317303015017733404198413043289106901431241379992400869049596803067171242581295612883537546507481002956364700219252966942084619311378364254033354777625897<154>

704935456141257401302505535698740913778633023315031802469<57>
1868685996060563701514984824266130128117576199990244288354552686687664241441248924252482427300213<97>

Number: 56555_219
N = 1317303015017733404198413043289106901431241379992400869049596803067171242581295612883537546507481002956364700219252966942084619311378364254033354777625897 (154 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=704935456141257401302505535698740913778633023315031802469 (pp57)
r2=1868685996060563701514984824266130128117576199990244288354552686687664241441248924252482427300213 (pp97)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 25.99 hours.
Factorization parameters were as follows:
n: 1317303015017733404198413043289106901431241379992400869049596803067171242581295612883537546507481002956364700219252966942084619311378364254033354777625897
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 509
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: 0
Relations: 9250410 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 19.03 hours.
Total relation processing time: 0.42 hours.
Pruned matrix : 7840340 x 7840565
Matrix solve time: 6.18 hours.
time per square root: 0.37 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: 25.99 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_Factory, Msieve

101616560714735228650738079914057637730854140868923722195926023526615137845513595617278304791515347541229495698435702285389678690140388467108345301508449060865160542496192345143043144337741719941099717310171<207>

1726302751849261603133774562560642517266587<43>
58863696188794726458188222325245904051994410252606381714801447065996866475341784357946625439958774603745807519808523036390725416072783151968510569407707107029194433<164>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2268122658
Step 1 took 138173ms
Step 2 took 48597ms
********** Factor found in step 2: 1726302751849261603133774562560642517266587
Found prime factor of 43 digits: 1726302751849261603133774562560642517266587
Prime cofactor 58863696188794726458188222325245904051994410252606381714801447065996866475341784357946625439958774603745807519808523036390725416072783151968510569407707107029194433 has 164 digits

211069719274149097707474098052829510136106772160820598038896974830030277362870248485022627805644038411105067171745329851119414862064864642019637771054413543567604139371610359960981788064757712671426609712881<207>

263037795172546272936228914237418102209<39>
802431145439356326241877604833181685019003731928932755728460557906202234503886509918172520215300101221961642658123591331677483418447683951671388243330786146389346377009<168>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3396357260
Step 1 took 13288ms
Step 2 took 4952ms
********** Factor found in step 2: 263037795172546272936228914237418102209
Found probable prime factor of 39 digits: 263037795172546272936228914237418102209
Probable prime cofactor 802431145439356326241877604833181685019003731928932755728460557906202234503886509918172520215300101221961642658123591331677483418447683951671388243330786146389346377009 has 168 digits

128017594843781072080634282307635961980857115729902635579228948286173289761076561592373027312844236463352720135170395994760851630960945401054696672503636560828172092886489<171>

5823754926929631287582021205691677316424022114913<49>

21981968068713670799362396886874373260912639451064462318861569468024751586868950460464324573262207396183607442314198789753<122>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3775253275
Step 1 took 36556ms
Step 2 took 12992ms
********** Factor found in step 2: 5823754926929631287582021205691677316424022114913
Found probable prime factor of 49 digits: 5823754926929631287582021205691677316424022114913
Composite cofactor 21981968068713670799362396886874373260912639451064462318861569468024751586868950460464324573262207396183607442314198789753 has 122 digits

21981968068713670799362396886874373260912639451064462318861569468024751586868950460464324573262207396183607442314198789753<122>

182434024925253865890628610988248669391683<42>
120492699087903335162324852619917742064166374662182382476266954127519509836070291<81>

21981968068713670799362396886874373260912639451064462318861569468024751586868950460464324573262207396183607442314198789753=182434024925253865890628610988248669391683*120492699087903335162324852619917742064166374662182382476266954127519509836070291

cado polynomial
n: 21981968068713670799362396886874373260912639451064462318861569468024751586868950460464324573262207396183607442314198789753
skew: 121004.846
c0: 59823877434661850727014785262
c1: -5860547258673470201555723
c2: -20561334236171223620
c3: 31463863790279
c4: -1395132798
c5: 8640
Y0: -352336584710404070925468
Y1: 138082735672967477
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.369e-06
# f(x) = 8640*x^5-1395132798*x^4+31463863790279*x^3-20561334236171223620*x^2-5860547258673470201555723*x+59823877434661850727014785262
# g(x) = 138082735672967477*x-352336584710404070925468

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 120492699087903335162324852619917742064166374662182382476266954127519509836070291 182434024925253865890628610988248669391683
Info:Square Root: Total cpu/real time for sqrt: 222.18/66.967
Info:Filtering - Singleton removal: Total cpu/real time for purge: 46.48/53.4355
Info:Linear Algebra: Total cpu/real time for bwc: 5642.03/1466.52
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3445.09, WCT time 892.04, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24064 iterations)
Info:Linear Algebra: Lingen CPU time 130.42, WCT time 33.17
Info:Linear Algebra: Mksol: CPU time 1988.89,  WCT time 513.88, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12032 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13453605
Info:Lattice Sieving: Average J: 1913.23 for 269873 special-q, max bucket fill -bkmult 1.0,1s:1.271330
Info:Lattice Sieving: Total time: 33155.4s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.91/1.33053
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2008.29
Info:Polynomial Selection (root optimized): Rootsieve time: 2005.84
Info:Generate Free Relations: Total cpu/real time for freerel: 127.28/33.3522
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.81/61.3565
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 61.3s
Info:Filtering - Merging: Merged matrix has 768055 rows and total weight 77054751 (100.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 55.6/18.7852
Info:Filtering - Merging: Total cpu/real time for replay: 19.16/15.1082
Info:Quadratic Characters: Total cpu/real time for characters: 24.74/9.56349
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20180/35.330/43.425/47.820/1.029
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16256/33.730/38.467/43.990/0.883
Info:Polynomial Selection (size optimized): Total time: 2289.72
Info:Square Root: Total cpu/real time for sqrt: 222.18/66.967
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 131.83/114.705
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 101.69999999999999s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 72053.2/19754
Info:root: Cleaning up computation data in /tmp/cado.0w74_sdj
120492699087903335162324852619917742064166374662182382476266954127519509836070291 182434024925253865890628610988248669391683

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

91491637232962154097800785497946381227138324930123037378557883289744488482658829661984236116728230292899062615150943226653005832816558368608841794961668778703479018936432185643542110419082027914835485813403794476349681397<221>

118921676774365306495607958139074819674569<42>

769343653020910337874929464750505222111534960256095814637000503540745854500402484206958815885103508060834211420971909334995568778448300800058612531885277983843007467428457623448013<180>

Resuming ECM residue saved by @e8175a5c4a50 with GMP-ECM 7.0.5-dev on Tue Mar 22 21:02:16 2022 
Input number is 91491637232962154097800785497946381227138324930123037378557883289744488482658829661984236116728230292899062615150943226653005832816558368608841794961668778703479018936432185643542110419082027914835485813403794476349681397 (221 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1216461675
Step 1 took 0ms
Step 2 took 4078ms
********** Factor found in step 2: 118921676774365306495607958139074819674569
Found prime factor of 42 digits: 118921676774365306495607958139074819674569
Composite cofactor 769343653020910337874929464750505222111534960256095814637000503540745854500402484206958815885103508060834211420971909334995568778448300800058612531885277983843007467428457623448013 has 180 digits

759594527713194641024541157866831807771104132665789129774308291078347432651979940029879978330464045482761116883854988433017396370539238060947505032788688877262578593831919255911191090714724165981275574303467<207>

8543312412443085079794358076075850685031943438905214165937338438645179160617377020743329931345002638804476180577859191091211917249677181675992036209960844414953320175847177087208018320894091<190>

5953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269<229>

1068692863336351016778468955174966084371016846787<49>

5570558743775706070622525450785111259561154954433074681903067013896371089839817444469721469394249679885673480049654753671592301203959466820040188792194651091948805900524528999047487<181>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:153619635
Step 1 took 63125ms
Step 2 took 24418ms
********** Factor found in step 2: 1068692863336351016778468955174966084371016846787
Found prime factor of 49 digits: 1068692863336351016778468955174966084371016846787
Composite cofactor 5570558743775706070622525450785111259561154954433074681903067013896371089839817444469721469394249679885673480049654753671592301203959466820040188792194651091948805900524528999047487 has 181 digits

14803494677008368717652480493427990460093594833651170775581564147300869798683096513981981401632158562336127341053658539167041205027605394519334657373675765909850709993435571523<176>

7674890602056589953537158789141737666848637543778248873316253145861176496494070940680823572829576309969407575553148627180305419212807674014116880666750949425714044160639988380404089925669<187>

127058681466872742916450788078555238744393<42>

60404299127388778229071849554906262726024795157814457427267848056552567486064120623755576778613795468555541045265354707283662567239602271650599933<146>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1587969023
Step 1 took 90703ms
Step 2 took 30993ms
********** Factor found in step 2: 127058681466872742916450788078555238744393
Found prime factor of 42 digits: 127058681466872742916450788078555238744393
Composite cofactor 60404299127388778229071849554906262726024795157814457427267848056552567486064120623755576778613795468555541045265354707283662567239602271650599933 has 146 digits

60404299127388778229071849554906262726024795157814457427267848056552567486064120623755576778613795468555541045265354707283662567239602271650599933<146>

156250299278899057622678544946136364930854921548137253350547<60>
386586773952797948145014745894198863132200906725163012027991664940568574176245271553839<87>

CADO:

STA:Wed May 29 08:30:24 PM AEST 2024 (60404299127388778229071849554906262726024795157814457427267848056552567486064120623755576778613795468555541045265354707283662567239602271650599933 - C146)

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 60404299127388778229071849554906262726024795157814457427267848056552567486064120623755576778613795468555541045265354707283662567239602271650599933 2>&1 | tee -a log-28 

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead.
  loc = locale.getdefaultlocale()[1]
Debug:root: Looking for parameter file for c146 in directory /home/bob/Downloads/Math/cado-nfs/parameters/factor
Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c145
Debug:Parameters: Reading parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c145
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.ynv_fo10
Info:Database: Opened connection to database /tmp/cado.ynv_fo10/c145.db
Info:root: Set tasks.threads=18 based on --server-threads 18
Info:root: tasks.threads = 18 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 18 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9
Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 60404299127388778229071849554906262726024795157814457427267848056552567486064120623755576778613795468555541045265354707283662567239602271650599933
Debug:root: Root parameter dictionary:
N = 60404299127388778229071849554906262726024795157814457427267848056552567486064120623755576778613795468555541045265354707283662567239602271650599933
name = c145
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 60404299127388778229071849554906262726024795157814457427267848056552567486064120623755576778613795468555541045265354707283662567239602271650599933
skew: 318856.473
c0: -2100498624575603718060702038653800
c1: -9690711867026523652398527550
c2: 138381183560723586076733
c3: -94519528530119267
c4: -709139641296 
c5: -559440
Y0: -16107172904630624826566382779
Y1: 2440467904023238302851
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=2.684e+14) = 4.511e-07
# f(x) = -559440*x^5-709139641296*x^4-94519528530119267*x^3+138381183560723586076733*x^2-9690711867026523652398527550*x-2100498624575603718060702038653800
# g(x) = 2440467904023238302851*x-16107172904630624826566382779
===
Debug:Command: Process with PID 2049714 finished successfully
Info:Square Root: finished
Info:Square Root: Factors: 386586773952797948145014745894198863132200906725163012027991664940568574176245271553839 156250299278899057622678544946136364930854921548137253350547
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2820.4/343.182 
Info:HTTP server: Got notification to stop serving Workunits
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 133692
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 92524/42.920/54.587/66.820/2.538
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78577/42.240/47.429/59.310/1.439
Info:Polynomial Selection (size optimized): Total time: 44590.7
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 85084538
Info:Lattice Sieving: Average J: 7739.47 for 486476 special-q, max bucket fill -bkmult 1.0,1s:1.138800
Info:Lattice Sieving: Total time: 886253s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1080.47/714.322
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 615.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 422.45/377.317
Info:Linear Algebra: Total cpu/real time for bwc: 62866.2/8270.02
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 37997.46, WCT time 4933.74, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (76000 iterations)
Info:Linear Algebra: Lingen CPU time 104.36, WCT time 105.33 
Info:Linear Algebra: Mksol: CPU time 20538.84,  WCT time 2699.94, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (40000 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 439.65/54.3393
Info:Quadratic Characters: Total cpu/real time for characters: 69.53/18.737
Info:Square Root: Total cpu/real time for sqrt: 2820.4/343.182
Info:Filtering - Merging: Total cpu/real time for merge: 253.67/39.9761
Info:Filtering - Merging: Total cpu/real time for replay: 44.89/39.5892
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3532.55
Info:Polynomial Selection (root optimized): Rootsieve time: 3531.93
Info:Generate Factor Base: Total cpu/real time for makefb: 6.21/1.11635
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 374.82/333.641
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 333.4s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 956834/115394 [1d 08:03:14]
Info:root: Cleaning up computation data in /tmp/cado.ynv_fo10
386586773952797948145014745894198863132200906725163012027991664940568574176245271553839 156250299278899057622678544946136364930854921548137253350547

END:Fri May 31 04:33:40 AM AEST 2024 (60404299127388778229071849554906262726024795157814457427267848056552567486064120623755576778613795468555541045265354707283662567239602271650599933 - C146)

293147680966489545278159356465650604600643501683001970016487647059245650335461876470883782545270283895098018101374058971034891781530669495398497274754186914009329130251<168>

354797104079130192025082927670058034279<39>

826240342990818178376184076779641009338144425321828984031335271162371809986708185372090512884773736355355923329390857250875035069<129>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2081981021
Step 1 took 9836ms
Step 2 took 3804ms
********** Factor found in step 2: 354797104079130192025082927670058034279
Found probable prime factor of 39 digits: 354797104079130192025082927670058034279
Composite cofactor 826240342990818178376184076779641009338144425321828984031335271162371809986708185372090512884773736355355923329390857250875035069 has 129 digits

826240342990818178376184076779641009338144425321828984031335271162371809986708185372090512884773736355355923329390857250875035069<129>

5773804810551530193261033271150899393652552393277353109221<58>
143101537045533300595506307632272943427093278811505696380442867723306489<72>

826240342990818178376184076779641009338144425321828984031335271162371809986708185372090512884773736355355923329390857250875035069=5773804810551530193261033271150899393652552393277353109221*143101537045533300595506307632272943427093278811505696380442867723306489

cado polynomial
n: 826240342990818178376184076779641009338144425321828984031335271162371809986708185372090512884773736355355923329390857250875035069
skew: 69865.862
c0: 204983653062336123692046406638
c1: 13070537517931737824918227
c2: 171657489539325306134
c3: -2450271724591475
c4: 35015902260
c5: -201600
Y0: -6069098606664701043073448
Y1: 158840961652218353
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.562e-07
# f(x) = -201600*x^5+35015902260*x^4-2450271724591475*x^3+171657489539325306134*x^2+13070537517931737824918227*x+204983653062336123692046406638
# g(x) = 158840961652218353*x-6069098606664701043073448

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

cado log (extracts)
Info:Square Root: Factors: 5773804810551530193261033271150899393652552393277353109221 143101537045533300595506307632272943427093278811505696380442867723306489
Info:Square Root: Total cpu/real time for sqrt: 684.02/208.612
Info:Filtering - Singleton removal: Total cpu/real time for purge: 110.12/127.365
Info:Linear Algebra: Total cpu/real time for bwc: 44827.8/11472.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 28615.6, WCT time 7304.77, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52224 iterations)
Info:Linear Algebra: Lingen CPU time 325.39, WCT time 82.59
Info:Linear Algebra: Mksol: CPU time 15585.35,  WCT time 3973.07, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26112 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22965877
Info:Lattice Sieving: Average J: 7726.21 for 48737 special-q, max bucket fill -bkmult 1.0,1s:1.068970
Info:Lattice Sieving: Total time: 86140.1s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.79/10.7777
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6302.77
Info:Polynomial Selection (root optimized): Rootsieve time: 6299.96
Info:Generate Free Relations: Total cpu/real time for freerel: 252.73/64.6151
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 97.96/121.888
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 121.3s
Info:Filtering - Merging: Merged matrix has 1663940 rows and total weight 284632253 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 422.2/119.38
Info:Filtering - Merging: Total cpu/real time for replay: 67.56/57.0802
Info:Quadratic Characters: Total cpu/real time for characters: 65.21/27.7984
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38549/38.390/46.003/50.310/0.857
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30401/35.890/41.277/46.820/0.969
Info:Polynomial Selection (size optimized): Total time: 5880.73
Info:Square Root: Total cpu/real time for sqrt: 684.02/208.612
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 268.17/229.347
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 216.0s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 224313/36855.6
Info:root: Cleaning up computation data in /tmp/cado.jmcl6xf3
5773804810551530193261033271150899393652552393277353109221 143101537045533300595506307632272943427093278811505696380442867723306489

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)

8428870997339118272191167266175777724877514016538645897044311954944855069649797283706524477650620649136613218827491165986507945831730343165887857131811990196185284248486816597361576242542280826336690317748554631<211>

43010934559996802301268056190096986005707<41>
195970422023300135577457902749108488853015639687879800930955454208159052279014788315570601702765784980754971497903581128326581362525184536499520298223160513219426018890933<171>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3305725059
Step 1 took 35698ms
Step 2 took 16600ms
********** Factor found in step 2: 43010934559996802301268056190096986005707
Found prime factor of 41 digits: 43010934559996802301268056190096986005707
Prime cofactor 195970422023300135577457902749108488853015639687879800930955454208159052279014788315570601702765784980754971497903581128326581362525184536499520298223160513219426018890933 has 171 digits

910915676484931557259970769272368939937138871634672637680733600770553081596388991098936641669803705677589367550222308377956355441171940020390374640515305170659219652315274885262026295584157364662955528477875851<210>

1525912624349094559266182573675637903361541<43>

596964506321912765057488882687414541811164507074542571720538160573587302755579421155365468685351879585027406845628318295388905245951440263314855335694245709364918232911<168>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2463842769
Step 1 took 34966ms
Step 2 took 11861ms
********** Factor found in step 2: 1525912624349094559266182573675637903361541
Found probable prime factor of 43 digits: 1525912624349094559266182573675637903361541
Composite cofactor 596964506321912765057488882687414541811164507074542571720538160573587302755579421155365468685351879585027406845628318295388905245951440263314855335694245709364918232911 has 168 digits

743214317945134495269544910343291995870206428317717883678871079853276396950892764558887150211975000909274148949233940272232570837966085671745396951841390207124683988630591641748549446679637457417823207<201>

136791050440697079978442913547256962166214891<45>
5433208645965765377769981858402571104490803626944978170223034553497674146377150528379589803401398339246071566608871126704767562554373100017583500764458162677<157>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3878084066
Step 1 took 50456ms
********** Factor found in step 1: 136791050440697079978442913547256962166214891
Found probable prime factor of 45 digits: 136791050440697079978442913547256962166214891
Probable prime cofactor 5433208645965765377769981858402571104490803626944978170223034553497674146377150528379589803401398339246071566608871126704767562554373100017583500764458162677 has 157 digits

6038415770791463652394807882121860831055474145496092075591219010893016430604064952570849942837161012391326793783623810869132076093685072995344156069552109783187147162575569624733105720638168014412918612012143011679018972983<223>

3895956449930949235861075888072744984717124794420687575903106437336751946711610877275914214477412207545383672389425734031308398042800169685538304817809071893987719130246021357029368373105301<190>

6716584909405952830899302473028688205356083<43>

580050204453609210421345399542273150659541813813014460914993104819708394909075250467414601269945275439262477953304934971193245173367054393513741847<147>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2814811783
Step 1 took 122914ms
********** Factor found in step 1: 6716584909405952830899302473028688205356083
Found probable prime factor of 43 digits: 6716584909405952830899302473028688205356083
Composite cofactor 580050204453609210421345399542273150659541813813014460914993104819708394909075250467414601269945275439262477953304934971193245173367054393513741847 has 147 digits

580050204453609210421345399542273150659541813813014460914993104819708394909075250467414601269945275439262477953304934971193245173367054393513741847<147>

129393577979921273929853450872444073469578809261<48>
4482836115279375370525729451962711901838762425389467684259280493554588399739559371396438600448703827<100>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2996882492
Step 1 took 89467ms
Step 2 took 26548ms
********** Factor found in step 2: 129393577979921273929853450872444073469578809261
Found probable prime factor of 48 digits: 129393577979921273929853450872444073469578809261
Probable prime cofactor 4482836115279375370525729451962711901838762425389467684259280493554588399739559371396438600448703827 has 100 digits

996155194808778473566533637063923444429400900762184520767933136948324233923516721201583336851894114442319212956319502242720341586998673221471482173400144323502699024641807824272755663500134729<192>

43853276730052371375940742151397229<35>
36507801463191454376801312653105089703<38>
622213277682807186346658836834189508500298781680130548152944513208340385371529525112592442272292608967079402552417205867<120>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1366921856
Step 1 took 10192ms
Step 2 took 3365ms
********** Factor found in step 2: 36507801463191454376801312653105089703
Found probable prime factor of 38 digits: 36507801463191454376801312653105089703
Composite cofactor 27286091051337062871573555366273730877749874393923204517450091473339275068766181251429445707068458751138596621408693197257251859667252693618225534186342543 has 155 digits
--
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3366581186
Step 1 took 8749ms
Step 2 took 3052ms
********** Factor found in step 2: 43853276730052371375940742151397229
Found probable prime factor of 35 digits: 43853276730052371375940742151397229
Probable prime cofactor 622213277682807186346658836834189508500298781680130548152944513208340385371529525112592442272292608967079402552417205867 has 120 digits

2087047142610823506717367755691398941100012574533479026370947298745597463728914154156784918370007353377047722261894898411769514793543317253726026458841268414098222154240219217819159647702777996473<196>

377037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<246>

3936707256478751737877918379686902239918832984279128780540460964212134718967484568356683109761918204151409732297765764455253382520755975017353907915642046349315438210461803757791345303126223<190>

59650234084646805158428643759047776323325539583066297145994591643124623566279838932094098570045338951447950241750403427979809347862593111546998804798525594927359480112960659095415442564872275845724293278713455535683<215>

8298410464229827015257656302211879422404900779575468931491923813240422984940070242124354095797111849794558353329477715119513208738657184183563928932476567116021796156032241882406967230921159403224817418029214517401<214>

10916466021430006632969957371210407795438014625619491586094949824971878666259613905492986377960826866252779601340627127495260642974874335566393135301547933108133385796612669334140547193312493365058149228592099533357018029018264093689437863<239>

156582739510042744325557296921699993731<39>

69716918068928392006054305747601293477957902728716730708479310830018731324754355049134184724800232944922806875926494073975085225488073804998846216033576992556931678677447423090109462911513525768130573<200>

Resuming ECM residue saved by @3eb24b36b19b with GMP-ECM 7.0.5-dev on Tue May 17 16:18:02 2022 
Input number is 10916466021430006632969957371210407795438014625619491586094949824971878666259613905492986377960826866252779601340627127495260642974874335566393135301547933108133385796612669334140547193312493365058149228592099533357018029018264093689437863 (239 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:4007656627
Step 1 took 0ms
Step 2 took 34292ms
********** Factor found in step 2: 156582739510042744325557296921699993731
Found prime factor of 39 digits: 156582739510042744325557296921699993731
Composite cofactor 69716918068928392006054305747601293477957902728716730708479310830018731324754355049134184724800232944922806875926494073975085225488073804998846216033576992556931678677447423090109462911513525768130573 has 200 digits

707986878965555692818317851436015051750812292096903293558959783352525161597990321802820762621539841552480005867848970427429465868837688318626910498197970765339615745931637992792682401178780261<192>

4802411674218927009149672405314641115097<40>
147423196300784432370364520922555432446011554244946445199155118144637114470875947867780801657777029253566324164328051027576384308812656275725268010972013<153>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1448810809
Step 1 took 30466ms
********** Factor found in step 1: 4802411674218927009149672405314641115097
Found probable prime factor of 40 digits: 4802411674218927009149672405314641115097
Probable prime cofactor 147423196300784432370364520922555432446011554244946445199155118144637114470875947867780801657777029253566324164328051027576384308812656275725268010972013 has 153 digits

3528733822109228927865295561995825312344182590208321697809486446355713372178595926596406898310837943249764903811441646842697365243060043535151612143169962503316886423891907979541917105767364937255027007082644447768618824480288567<229>

68457349311414509177162501776755634807622558415076306624027282598950945599280179747764435457630193952842820577585552091308298039578817979362352722291614972380692596698874480543006582398318673129714389293246593829533927496638529781<230>

40645286609152709120147316550281255453551107092857814859582718737227485663094924580081898704712020749705407009387481918418381470572687881322213271233576102049950524585739957423969674545388006850697505691990854877508838716871<224>

681310879510441980019593279868740055661<39>

59657474776211564900622910593441705522900504777706809036269903737142858781066017799022078191832782460272884150799047264799008878253716807391892862152310925419806988461134432073534228611<185>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1023964077
Step 1 took 63940ms
Step 2 took 24390ms
********** Factor found in step 2: 681310879510441980019593279868740055661
Found prime factor of 39 digits: 681310879510441980019593279868740055661
Composite cofactor 59657474776211564900622910593441705522900504777706809036269903737142858781066017799022078191832782460272884150799047264799008878253716807391892862152310925419806988461134432073534228611 has 185 digits