1188873434963022050252987521314841948367621553711507743213361009411612643752929<79>

34280126095801923827080773972806604019<38>
34681127824340648111627512161101916188891<41>

1188873434963022050252987521314841948367621553711507743213361009411612643752929 = 34280126095801923827080773972806604019 * 34681127824340648111627512161101916188891

Time elapsed: 0d 0h 6m 37.4s

Modular multiplications:

ECM: 78622512
Probable prime checking: 1329
SIQS: 102211
Sum of squares: 818
SIQS:

471338 polynomials sieved
278487 sets of trial divisions
12136 smooth congruences found (1 out of every 2830513 values)
127796 partial congruences found (1 out of every 268796 values)
12011 useful partial congruences
Size of binary matrix: 22209 × 21565
Timings:

Probable prime test of 3 numbers: 0d 0h 0m 0.0s
Factoring 1 number using ECM: 0d 0h 0m 25.9s
Factoring 1 number using SIQS: 0d 0h 6m 11.4s

Dario Alpern's calculator, SIQS

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

2864224789652393661538977578849231931925490139678010227808091100211809838376450195449863017<91>

237068412752090193547927864494567542797<39>
12081849101708891660428715583990778938685976270669261<53>

prp39 = 237068412752090193547927864494567542797
prp53 = 12081849101708891660428715583990778938685976270669261

Yafu

1836762312277940581710002413420247527991694572445031587069426314668449840564759754013646017846883532765723297<109>

33862766866956059871109334184493914440641666316093<50>
54241353622827809245933513946106668838415335042941160466229<59>

N=1836762312277940581710002413420247527991694572445031587069426314668449840564759754013646017846883532765723297
  ( 109 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=33862766866956059871109334184493914440641666316093 (pp50)
 r2=54241353622827809245933513946106668838415335042941160466229 (pp59)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.40 hours.
Scaled time: 3.15 units (timescale=7.874).
Factorization parameters were as follows:
n: 1836762312277940581710002413420247527991694572445031587069426314668449840564759754013646017846883532765723297
m: 10000000000000000000000000000
deg: 4
c4: 946
c0: -1
skew: 0.18
# Murphy_E = 7.511e-08
type: snfs
lss: 1
rlim: 580000
alim: 580000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 580000/580000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [290000, 570001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 66803 x 67051
Total sieving time: 0.39 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,114.000,4,0,0,0,0,0,0,0,0,580000,580000,25,25,45,45,2.2,2.2,20000
total time: 0.40 hours.

GNFS, Msieve

7109979508413006614841780977031262618066908182087432457916044006375534689462611450840169241176473<97>

20941720601179522129494465897578054256473<41>
339512671562075176644775160983386518160947910102336040001<57>

prp57 = 339512671562075176644775160983386518160947910102336040001
03/09/22 18:17:34 v1.34.5 @ DESKTOP-M5CJ3QV, prp41 = 20941720601179522129494465897578054256473

Yafu

1444962662126624531158303438911699213053019191668732650147349456492492715581979554154082298202788586396342196467<112>

37249326634403417444337204581177850409245859<44>
38791645183514790534689327579179791950227468132461743313202797561713<68>

N=1444962662126624531158303438911699213053019191668732650147349456492492715581979554154082298202788586396342196467
  ( 112 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=37249326634403417444337204581177850409245859 (pp44)
 r2=38791645183514790534689327579179791950227468132461743313202797561713 (pp68)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.84 hours.
Scaled time: 6.59 units (timescale=7.855).
Factorization parameters were as follows:
n: 1444962662126624531158303438911699213053019191668732650147349456492492715581979554154082298202788586396342196467
m: 100000000000000000000000000000
deg: 4
c4: 9460
c0: -1
skew: 0.10
# Murphy_E = 3.789e-08
type: snfs
lss: 1
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [350000, 600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 79669 x 79917
Total sieving time: 0.83 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,119.000,4,0,0,0,0,0,0,0,0,700000,700000,25,25,45,45,2.2,2.2,50000
total time: 0.84 hours.

GNFS, Msieve

36049654434847232515194808918945252680706665784247917904980958940682302631168157<80>

107796251099143224554573587064412528541<39>
334424008880339984238696301786790534200577<42>

36049654434847232515194808918945252680706665784247917904980958940682302631168157 = 107796251099143224554573587064412528541 * 334424008880339984238696301786790534200577

Time elapsed: 0d 0h 10m 54.4s

Modular multiplications:

ECM: 78622512
Probable prime checking: 1381
SIQS: 111684
Sum of squares: 890
SIQS:

792490 polynomials sieved
438362 sets of trial divisions
12997 smooth congruences found (1 out of every 4677014 values)
153709 partial congruences found (1 out of every 395469 values)
14358 useful partial congruences
Size of binary matrix: 25375 × 24725
Timings:

Probable prime test of 3 numbers: 0d 0h 0m 0.0s
Factoring 1 number using ECM: 0d 0h 0m 27.1s
Factoring 1 number using SIQS: 0d 0h 10m 27.3s

Dario Alpern's calculator, SIQS

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

808547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547<126>

4671913313491910930381720428945530560579815831128384871<55>
173065498927821338283890751350406107785130043873745651064468403656297957<72>

N=808547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547
  ( 126 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=4671913313491910930381720428945530560579815831128384871 (pp55)
 r2=173065498927821338283890751350406107785130043873745651064468403656297957 (pp72)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.85 hours.
Scaled time: 14.57 units (timescale=7.868).
Factorization parameters were as follows:
n: 808547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547
m: 10000000000000000000000000000000
deg: 4
c4: 9460
c0: -1
skew: 0.10
# Murphy_E = 1.571e-08
type: snfs
lss: 1
rlim: 950000
alim: 950000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 950000/950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [475000, 925001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 124136 x 124363
Total sieving time: 1.83 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,127.000,4,0,0,0,0,0,0,0,0,950000,950000,26,26,46,46,2.3,2.3,75000
total time: 1.85 hours.

GNFS, Msieve

233413941147475562013576353133796423710665486502698105522737948329938037038425495912234237075131929002373<105>

6895128201687029405081929955629694033108181382313809<52>
33852008885109087254288116458395750090734232631198197<53>

p52 factor: 6895128201687029405081929955629694033108181382313809
p53 factor: 33852008885109087254288116458395750090734232631198197

GNFS, Msieve

11679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679<131>

23383683933198978473096467612801793904996587578030733823612923<62>
499451343040851572566231180951377177579297080538127433530973104970173<69>

p62 factor: 23383683933198978473096467612801793904996587578030733823612923
p69 factor: 499451343040851572566231180951377177579297080538127433530973104970173

GNFS, Msieve

19659038943074809340261209605741704535838693594271207965391294257294397173618532521422864681030497<98>

19821496658601856128054069262801049<35>
991803963226129765602549115413816053416667196052975126009030153<63>

prp35 = 19821496658601856128054069262801049
prp63 = 991803963226129765602549115413816053416667196052975126009030153

Yafu

6846762860254234215654746490886206285222202601831695939766053915190232641443555616652419573655073055419306060275427624616597293<127>

59823592063707116983838084484950054761<38>

114449210153796933418490413023395351567867172050786812511169552061274122174883312054021413<90>

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 6846762860254234215654746490886206285222202601831695939766053915190232641443555616652419573655073055419306060275427624616597293 (127 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3616704548
Step 1 took 5710ms
Step 2 took 4929ms
********** Factor found in step 2: 59823592063707116983838084484950054761
Found probable prime factor of 38 digits: 59823592063707116983838084484950054761
Composite cofactor 114449210153796933418490413023395351567867172050786812511169552061274122174883312054021413 has 90 digits

114449210153796933418490413023395351567867172050786812511169552061274122174883312054021413<90>

8514386997277367614990568979896833369007<40>
13441861427063883830347813538322932010094590750059<50>

03/10/22 21:35:48 v1.34.5 @ DESKTOP-BVSI96J, starting SIQS on c90: 114449210153796933418490413023395351567867172050786812511169552061274122174883312054021413
03/10/22 21:35:48 v1.34.5 @ DESKTOP-BVSI96J, random seeds: 3810869452, 787052880
03/10/22 21:35:48 v1.34.5 @ DESKTOP-BVSI96J, ==== sieve params ====
03/10/22 21:35:48 v1.34.5 @ DESKTOP-BVSI96J, n = 91 digits, 300 bits
03/10/22 21:35:48 v1.34.5 @ DESKTOP-BVSI96J, factor base: 70464 primes (max prime = 1881083)
03/10/22 21:35:48 v1.34.5 @ DESKTOP-BVSI96J, single large prime cutoff: 206919130 (110 * pmax)
03/10/22 21:35:48 v1.34.5 @ DESKTOP-BVSI96J, double large prime range from 42 to 50 bits
03/10/22 21:35:48 v1.34.5 @ DESKTOP-BVSI96J, double large prime cutoff: 929910515376439
03/10/22 21:35:48 v1.34.5 @ DESKTOP-BVSI96J, allocating 9 large prime slices of factor base
03/10/22 21:35:48 v1.34.5 @ DESKTOP-BVSI96J, buckets hold 2048 elements
03/10/22 21:35:48 v1.34.5 @ DESKTOP-BVSI96J, using 32k sieve core
03/10/22 21:35:48 v1.34.5 @ DESKTOP-BVSI96J, sieve interval: 14 blocks of size 32768
03/10/22 21:35:48 v1.34.5 @ DESKTOP-BVSI96J, polynomial A has ~ 12 factors
03/10/22 21:35:48 v1.34.5 @ DESKTOP-BVSI96J, using multiplier of 13
03/10/22 21:35:48 v1.34.5 @ DESKTOP-BVSI96J, using SPV correction of 19 bits, starting at offset 28
03/10/22 21:35:48 v1.34.5 @ DESKTOP-BVSI96J, using SSE2 for trial division and x128 sieve scanning
03/10/22 21:35:48 v1.34.5 @ DESKTOP-BVSI96J, using SSE4.1 enabled 32k sieve core
03/10/22 21:35:48 v1.34.5 @ DESKTOP-BVSI96J, using SSE2 for resieving 13-16 bit primes
03/10/22 21:35:48 v1.34.5 @ DESKTOP-BVSI96J, trial factoring cutoff at 96 bits
03/10/22 21:35:48 v1.34.5 @ DESKTOP-BVSI96J, ==== sieving started (32 threads) ====
03/10/22 21:43:50 v1.34.5 @ DESKTOP-BVSI96J, trial division touched 30492252 sieve locations out of 479680266240
03/10/22 21:43:50 v1.34.5 @ DESKTOP-BVSI96J, squfof: 0 failures, 645947 attempts, 8589501 outside range, 3339058 prp, 606527 useful
03/10/22 21:43:50 v1.34.5 @ DESKTOP-BVSI96J, 76624 relations found: 20552 full + 56072 from 870985 partial, using 522810 polys (965 A polys)
03/10/22 21:43:50 v1.34.5 @ DESKTOP-BVSI96J, on average, sieving found 1.71 rels/poly and 1847.98 rels/sec
03/10/22 21:43:50 v1.34.5 @ DESKTOP-BVSI96J, trial division touched 30492252 sieve locations out of 479680266240
03/10/22 21:43:50 v1.34.5 @ DESKTOP-BVSI96J, ==== post processing stage (msieve-1.38) ====
03/10/22 21:43:51 v1.34.5 @ DESKTOP-BVSI96J, begin with 891537 relations
03/10/22 21:43:51 v1.34.5 @ DESKTOP-BVSI96J, reduce to 182931 relations in 9 passes
03/10/22 21:43:54 v1.34.5 @ DESKTOP-BVSI96J, recovered 182931 relations
03/10/22 21:43:54 v1.34.5 @ DESKTOP-BVSI96J, recovered 154386 polynomials
03/10/22 21:43:54 v1.34.5 @ DESKTOP-BVSI96J, freed 57 duplicate relations
03/10/22 21:43:54 v1.34.5 @ DESKTOP-BVSI96J, attempting to build 76567 cycles
03/10/22 21:43:54 v1.34.5 @ DESKTOP-BVSI96J, found 76567 cycles in 6 passes
03/10/22 21:43:54 v1.34.5 @ DESKTOP-BVSI96J, distribution of cycle lengths:
03/10/22 21:43:54 v1.34.5 @ DESKTOP-BVSI96J,    length 1 : 20551
03/10/22 21:43:54 v1.34.5 @ DESKTOP-BVSI96J,    length 2 : 15583
03/10/22 21:43:54 v1.34.5 @ DESKTOP-BVSI96J,    length 3 : 14058
03/10/22 21:43:54 v1.34.5 @ DESKTOP-BVSI96J,    length 4 : 10143
03/10/22 21:43:54 v1.34.5 @ DESKTOP-BVSI96J,    length 5 : 6984
03/10/22 21:43:54 v1.34.5 @ DESKTOP-BVSI96J,    length 6 : 4148
03/10/22 21:43:54 v1.34.5 @ DESKTOP-BVSI96J,    length 7 : 2436
03/10/22 21:43:54 v1.34.5 @ DESKTOP-BVSI96J,    length 9+: 2664
03/10/22 21:43:54 v1.34.5 @ DESKTOP-BVSI96J, largest cycle: 18 relations
03/10/22 21:43:54 v1.34.5 @ DESKTOP-BVSI96J, matrix is 70464 x 76567 (19.5 MB) with weight 4507884 (58.88/col)
03/10/22 21:43:54 v1.34.5 @ DESKTOP-BVSI96J, sparse part has weight 4507884 (58.88/col)
03/10/22 21:43:55 v1.34.5 @ DESKTOP-BVSI96J, filtering completed in 4 passes
03/10/22 21:43:55 v1.34.5 @ DESKTOP-BVSI96J, matrix is 63696 x 63760 (15.1 MB) with weight 3447871 (54.08/col)
03/10/22 21:43:55 v1.34.5 @ DESKTOP-BVSI96J, sparse part has weight 3447871 (54.08/col)
03/10/22 21:43:55 v1.34.5 @ DESKTOP-BVSI96J, saving the first 48 matrix rows for later
03/10/22 21:43:55 v1.34.5 @ DESKTOP-BVSI96J, matrix is 63648 x 63760 (13.2 MB) with weight 3025061 (47.44/col)
03/10/22 21:43:55 v1.34.5 @ DESKTOP-BVSI96J, sparse part has weight 2814786 (44.15/col)
03/10/22 21:43:55 v1.34.5 @ DESKTOP-BVSI96J, matrix includes 64 packed rows
03/10/22 21:43:55 v1.34.5 @ DESKTOP-BVSI96J, using block size 25504 for processor cache size 8192 kB
03/10/22 21:43:57 v1.34.5 @ DESKTOP-BVSI96J, commencing Lanczos iteration
03/10/22 21:43:57 v1.34.5 @ DESKTOP-BVSI96J, memory use: 10.6 MB
03/10/22 21:44:13 v1.34.5 @ DESKTOP-BVSI96J, lanczos halted after 1008 iterations (dim = 63643)
03/10/22 21:44:13 v1.34.5 @ DESKTOP-BVSI96J, recovered 15 nontrivial dependencies
03/10/22 21:44:14 v1.34.5 @ DESKTOP-BVSI96J, prp50 = 13441861427063883830347813538322932010094590750059
03/10/22 21:44:14 v1.34.5 @ DESKTOP-BVSI96J, prp40 = 8514386997277367614990568979896833369007
03/10/22 21:44:14 v1.34.5 @ DESKTOP-BVSI96J, Lanczos elapsed time = 23.1910 seconds.
03/10/22 21:44:14 v1.34.5 @ DESKTOP-BVSI96J, Sqrt elapsed time = 0.3240 seconds.
03/10/22 21:44:14 v1.34.5 @ DESKTOP-BVSI96J, SIQS elapsed time = 505.9546 seconds.

16579412927248429687019480988358442872716273848841950642828805790791611714810467621175738559947456144927975339487075699549819377779543<134>

3509673443879104776386843615853355233231441533644931726642713541<64>
4723918960655169411852072294798996671983706105604673836521902560854123<70>

N=16579412927248429687019480988358442872716273848841950642828805790791611714810467621175738559947456144927975339487075699549819377779543
  ( 134 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=3509673443879104776386843615853355233231441533644931726642713541 (pp64)
 r2=4723918960655169411852072294798996671983706105604673836521902560854123 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.95 hours.
Scaled time: 62.70 units (timescale=7.886).
Factorization parameters were as follows:
n: 16579412927248429687019480988358442872716273848841950642828805790791611714810467621175738559947456144927975339487075699549819377779543
m: 1000000000000000000000000000000000000
deg: 4
c4: 473
c0: -5
skew: 0.32
# Murphy_E = 2.455e-09
type: snfs
lss: 1
rlim: 1950000
alim: 1950000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1950000/1950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [975000, 1775001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 253746 x 253973
Total sieving time: 7.91 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146.000,4,0,0,0,0,0,0,0,0,1950000,1950000,26,26,49,49,2.3,2.3,100000
total time: 7.95 hours.

GNFS, Msieve

5005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291<145>

4085117024391944672621277368274726049<37>
1225250335646388314902103799612951947204645973498790522021739624042400619302918437439033291012643286740011659<109>

Number: n
N=5005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291  ( 145 digits)
SNFS difficulty: 146 digits.
Divisors found:

Sat Mar 12 00:10:27 2022  p37 factor: 4085117024391944672621277368274726049
Sat Mar 12 00:10:27 2022  p109 factor: 1225250335646388314902103799612951947204645973498790522021739624042400619302918437439033291012643286740011659
Sat Mar 12 00:10:27 2022  elapsed time 00:04:22 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 73x10^145-5 = 525(145)
#
n: 5005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291
m: 1000000000000000000000000000000000000
deg: 4
c4: 946
c0: -1
skew: 0.18
# Murphy_E = 2.066e-09
type: snfs
lss: 1
rlim: 1970000
alim: 1970000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1970000/1970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6585000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1274758 hash collisions in 11649388 relations (11167791 unique)
Msieve: matrix is 492667 x 492909 (52.4 MB)

Sieving start time : 2022/03/11 23:30:29
Sieving end time  : 2022/03/12 00:05:50

Total sieving time: 0hrs 35min 21secs.

Total relation processing time: 0hrs 1min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 9sec.

Prototype def-par.txt line would be:
snfs,146,4,0,0,0,0,0,0,0,0,1970000,1970000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

621884872575551182986770712107964338804958611037766036223085395623379264706820455733173237231502717040809970947<111>

5982920225801927800870388875036066795956709<43>
103943366968794257539748779495559844169140690642233877538650023414983<69>

N=621884872575551182986770712107964338804958611037766036223085395623379264706820455733173237231502717040809970947
  ( 111 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=5982920225801927800870388875036066795956709 (pp43)
 r2=103943366968794257539748779495559844169140690642233877538650023414983 (pp69)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.86 hours.
Scaled time: 54.14 units (timescale=7.893).
Factorization parameters were as follows:
n: 621884872575551182986770712107964338804958611037766036223085395623379264706820455733173237231502717040809970947
m: 100000000000000000000000000000
deg: 5
c5: 9460
c0: -1
skew: 0.16
# Murphy_E = 1.423e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 350519 x 350744
Total sieving time: 6.79 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,148.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 6.86 hours.

GNFS, Msieve

344212223931608754293865648245541235583416279513357995950273504110686963074910159831358318211865907<99>

253478493988267757173417862207691811<36>
1357954351533825210802595220246081785831920233387017280116949937<64>

prp64 = 1357954351533825210802595220246081785831920233387017280116949937
prp36 = 253478493988267757173417862207691811

Yafu

1186449393418341303614406455488708036877756833058041957164912703160646000373744100675122313400732688938303377367411771935831398768651147507264807728727<151>

806319345623024659325198602467709736592004458695699<51>
1471438580580748417030887285708517645654253462236138594593580817162662990124954348204016815217667373<100>

Number: n
N=1186449393418341303614406455488708036877756833058041957164912703160646000373744100675122313400732688938303377367411771935831398768651147507264807728727  ( 151 digits)
SNFS difficulty: 155 digits.
Divisors found:

Sat Mar 12 09:10:59 2022  p51 factor: 806319345623024659325198602467709736592004458695699
Sat Mar 12 09:10:59 2022  p100 factor: 1471438580580748417030887285708517645654253462236138594593580817162662990124954348204016815217667373
Sat Mar 12 09:10:59 2022  elapsed time 00:07:45 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.295).
Factorization parameters were as follows:
#
# N = 473x10^154-5 = 525(154)
#
n: 1186449393418341303614406455488708036877756833058041957164912703160646000373744100675122313400732688938303377367411771935831398768651147507264807728727
m: 100000000000000000000000000000000000000
deg: 4
c4: 9460
c0: -1
skew: 0.10
# Murphy_E = 6.211e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7005529)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2026787 hash collisions in 16752061 relations (16280114 unique)
Msieve: matrix is 576982 x 577230 (114.7 MB)

Sieving start time : 2022/03/12 08:33:05
Sieving end time  : 2022/03/12 09:02:38

Total sieving time: 0hrs 29min 33secs.

Total relation processing time: 0hrs 3min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 21sec.

Prototype def-par.txt line would be:
snfs,155,4,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
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)

91970927463552846478310374635620259740822363652308681840176285881485007690913887709466013534261963066554093042023859751501728309147487270946826969<146>

1730365479313670003473546108137004647791029<43>
53151157118571320527543368526455601369255444471906556865583755151517911525664289053415867134461874819861<104>

N=91970927463552846478310374635620259740822363652308681840176285881485007690913887709466013534261963066554093042023859751501728309147487270946826969
  ( 146 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=1730365479313670003473546108137004647791029 (pp43)
 r2=53151157118571320527543368526455601369255444471906556865583755151517911525664289053415867134461874819861 (pp104)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.64 hours.
Scaled time: 107.59 units (timescale=7.886).
Factorization parameters were as follows:
n: 91970927463552846478310374635620259740822363652308681840176285881485007690913887709466013534261963066554093042023859751501728309147487270946826969
m: 10000000000000000000000000000000
deg: 5
c5: 473
c0: -5
skew: 0.40
# Murphy_E = 6.893e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 500387 x 500615
Total sieving time: 13.54 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,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 13.64 hours.

GNFS, Msieve

3542189666609433303154024790319031794889313973891286944345474250717361485022576524114913208765151896328558634118329117449276408439487686721897887353<148>

4783393895297952441286169054047401583443415389795660164933<58>
740518080706542803577952469386008736282295109943776634996429051248976644801438778696184741<90>

Number: n
N=3542189666609433303154024790319031794889313973891286944345474250717361485022576524114913208765151896328558634118329117449276408439487686721897887353  ( 148 digits)
SNFS difficulty: 159 digits.
Divisors found:

Sat Mar 12 11:40:17 2022  p58 factor: 4783393895297952441286169054047401583443415389795660164933
Sat Mar 12 11:40:17 2022  p90 factor: 740518080706542803577952469386008736282295109943776634996429051248976644801438778696184741
Sat Mar 12 11:40:17 2022  elapsed time 00:07:34 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 473x10^158-5 = 525(158)
#
n: 3542189666609433303154024790319031794889313973891286944345474250717361485022576524114913208765151896328558634118329117449276408439487686721897887353
m: 10000000000000000000000000000000
deg: 5
c5: 94600
c0: -1
skew: 0.10
# Murphy_E = 5.056e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2184397 hash collisions in 16515382 relations (15273831 unique)
Msieve: matrix is 415222 x 415448 (137.2 MB)

Sieving start time : 2022/03/12 10:46:53
Sieving end time  : 2022/03/12 11:32:01

Total sieving time: 0hrs 45min 8secs.

Total relation processing time: 0hrs 2min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 12sec.

Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
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)

1778173319894219123656472440564608942958956187354102749967394376187330096857295625095165262849370833196801689230653108547447258162507903428011<142>

10938452130079090971796350890855001539<38>
162561695087050855084299345762016818868178702093853350177198368524793319954922467491983172710247920083449<105>

Number: n
N=1778173319894219123656472440564608942958956187354102749967394376187330096857295625095165262849370833196801689230653108547447258162507903428011  ( 142 digits)
SNFS difficulty: 161 digits.
Divisors found:

Sun Mar 20 12:34:02 2022  p38 factor: 10938452130079090971796350890855001539
Sun Mar 20 12:34:02 2022  p105 factor: 162561695087050855084299345762016818868178702093853350177198368524793319954922467491983172710247920083449
Sun Mar 20 12:34:02 2022  elapsed time 00:07:46 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 73x10^159-5 = 525(159)
#
n: 1778173319894219123656472440564608942958956187354102749967394376187330096857295625095165262849370833196801689230653108547447258162507903428011
m: 20000000000000000000000000000000
deg: 5
c5: 59125
c0: -2
skew: 0.13
# Murphy_E = 3.696e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2006932 hash collisions in 15666963 relations (14553972 unique)
Msieve: matrix is 482416 x 482644 (163.4 MB)

Sieving start time : 2022/03/20 11:46:07
Sieving end time  : 2022/03/20 12:25:43

Total sieving time: 0hrs 39min 36secs.

Total relation processing time: 0hrs 3min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 30sec.

Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

28891172057659324536714525270952438595056427893336662098466233111675337586866305506986944096442694356259585249572911298823705136177<131>

7488702964335662258519405813848829882961994457313971<52>
3857967420426631636271137334534352949304355641645922205999638822868267410171787<79>

N=28891172057659324536714525270952438595056427893336662098466233111675337586866305506986944096442694356259585249572911298823705136177
  ( 131 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=7488702964335662258519405813848829882961994457313971 (pp52)
 r2=3857967420426631636271137334534352949304355641645922205999638822868267410171787 (pp79)
Version: Msieve v. 1.52 (SVN 927)
Total time: 22.35 hours.
Scaled time: 176.23 units (timescale=7.886).
Factorization parameters were as follows:
n: 28891172057659324536714525270952438595056427893336662098466233111675337586866305506986944096442694356259585249572911298823705136177
m: 100000000000000000000000000000000
deg: 5
c5: 9460
c0: -1
skew: 0.16
# Murphy_E = 3.778e-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, 3700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 662516 x 662744
Total sieving time: 22.18 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 22.35 hours.

GNFS, Msieve

107363526330038998681463221429751058404341343973862772376668808506255506809127085869440220323483245497508682500051200653950220563295882023481263<144>

56413259020944608328098997660356885803<38>
68377084234837952901013075903833151463<38>
27833319186666544118266592310389380166658349256675312800478942658667<68>

Number: n
N=107363526330038998681463221429751058404341343973862772376668808506255506809127085869440220323483245497508682500051200653950220563295882023481263  ( 144 digits)
SNFS difficulty: 164 digits.
Divisors found:

Sun Mar 20 06:40:38 2022  found factor: 56413259020944608328098997660356885803
Sun Mar 20 06:41:13 2022  p38 factor: 56413259020944608328098997660356885803
Sun Mar 20 06:41:13 2022  p38 factor: 68377084234837952901013075903833151463
Sun Mar 20 06:41:13 2022  p68 factor: 27833319186666544118266592310389380166658349256675312800478942658667
Sun Mar 20 06:41:13 2022  elapsed time 00:10:49 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 73x10^163-5 = 525(163)
#
n: 107363526330038998681463221429751058404341343973862772376668808506255506809127085869440220323483245497508682500051200653950220563295882023481263
m: 100000000000000000000000000000000
deg: 5
c5: 94600
c0: -1
skew: 0.10
# Murphy_E = 3.231e-10
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1991256 hash collisions in 15752709 relations (14671112 unique)
Msieve: matrix is 515414 x 515640 (175.6 MB)

Sieving start time : 2022/03/20 05:19:41
Sieving end time  : 2022/03/20 06:29:48

Total sieving time: 1hrs 10min 7secs.

Total relation processing time: 0hrs 4min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 52sec.

Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

3614387212098545003877276363591498683705028823158207578914378899669438937735825483613841182650135903460144977047677245416961<124>

239763079555615991040092165577756179<36>
15074828112808517287268110754577283627886169212916649514296634608345600270167019820805659<89>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3972897670
Step 1 took 4719ms
********** Factor found in step 1: 239763079555615991040092165577756179
Found prime factor of 36 digits: 239763079555615991040092165577756179
Prime cofactor 15074828112808517287268110754577283627886169212916649514296634608345600270167019820805659 has 89 digits
 

GMP-ECM

1141592074359404231893619078413677251948893477202326942237449683150064633608437736985056302307968574961738536731163678230570553612391534988258808534057877956173<160>

614626649024697741976459044249030513272401283<45>
1857374840760494371800253138008354270077605496614188269809061563522652240815237727674849970153759272495410878030831<115>

Number: n
N=1141592074359404231893619078413677251948893477202326942237449683150064633608437736985056302307968574961738536731163678230570553612391534988258808534057877956173  ( 160 digits)
SNFS difficulty: 170 digits.
Divisors found:

Sat Mar 12 23:17:31 2022  p45 factor: 614626649024697741976459044249030513272401283
Sat Mar 12 23:17:31 2022  p115 factor: 1857374840760494371800253138008354270077605496614188269809061563522652240815237727674849970153759272495410878030831
Sat Mar 12 23:17:31 2022  elapsed time 00:12:47 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 473x10^169-5 = 525(169)
#
n: 1141592074359404231893619078413677251948893477202326942237449683150064633608437736985056302307968574961738536731163678230570553612391534988258808534057877956173
m: 1000000000000000000000000000000000
deg: 5
c5: 946000
c0: -1
skew: 0.06
# Murphy_E = 1.499e-10
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2415858 hash collisions in 16571300 relations (15020879 unique)
Msieve: matrix is 713165 x 713390 (244.9 MB)

Sieving start time : 2022/03/12 21:32:47
Sieving end time  : 2022/03/12 23:04:09

Total sieving time: 1hrs 31min 22secs.

Total relation processing time: 0hrs 7min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 1sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

10053926285670345641560584592146826165797542240501232908180260400963599875065341223690551414599889740255944080327694959692596570481342012511889838496777<152>

250420151916968821303307446413883522822951<42>

40148231716606819420740488361711817045925649640951537748956071785661065475802212245748050344977289169858082127<110>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:742736107
Step 1 took 3172ms
Step 2 took 1796ms
********** Factor found in step 2: 250420151916968821303307446413883522822951
Found prime factor of 42 digits: 250420151916968821303307446413883522822951
Composite cofactor 40148231716606819420740488361711817045925649640951537748956071785661065475802212245748050344977289169858082127 has 110 digits

GMP-ECM

40148231716606819420740488361711817045925649640951537748956071785661065475802212245748050344977289169858082127<110>

1413923149404669778377503464711467223<37>
28394917880445745707932459931011763501530879445565620354888101389859813449<74>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3314965655
Step 1 took 3531ms
Step 2 took 2641ms
********** Factor found in step 2: 1413923149404669778377503464711467223
Found prime factor of 37 digits: 1413923149404669778377503464711467223
Prime cofactor 28394917880445745707932459931011763501530879445565620354888101389859813449 has 74 digits
 

GMP-ECM

81937671691740369407469918517515460523481716575617066823967594582821971021242236582085015287018729611816616551170104987474965063911847309138408656828999407788981732326099<170>

28552860513446595681057891693191002343225239068814796416304795657269793626651102909<83>
2869683464924745320070806645516993765980075264510053389795922830091412069200335294664911<88>

Number: n
N=81937671691740369407469918517515460523481716575617066823967594582821971021242236582085015287018729611816616551170104987474965063911847309138408656828999407788981732326099  ( 170 digits)
SNFS difficulty: 178 digits.
Divisors found:

Mon Mar 14 17:32:11 2022  p83 factor: 28552860513446595681057891693191002343225239068814796416304795657269793626651102909
Mon Mar 14 17:32:11 2022  p88 factor: 2869683464924745320070806645516993765980075264510053389795922830091412069200335294664911
Mon Mar 14 17:32:11 2022  elapsed time 00:22:59 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.305).
Factorization parameters were as follows:
#
# N = 473x10^177-5 = 525(177)
#
n: 81937671691740369407469918517515460523481716575617066823967594582821971021242236582085015287018729611816616551170104987474965063911847309138408656828999407788981732326099
m: 100000000000000000000000000000000000
deg: 5
c5: 9460
c0: -1
skew: 0.16
# Murphy_E = 9.599e-11
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6206785 hash collisions in 37049451 relations (32559748 unique)
Msieve: matrix is 929603 x 929829 (312.4 MB)

Sieving start time : 2022/03/14 14:27:20
Sieving end time  : 2022/03/14 17:08:28

Total sieving time: 2hrs 41min 8secs.

Total relation processing time: 0hrs 12min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 0sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] 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)

259606879527919521996629847544519442432985035485525426149471902925845640220198743817383137025444220255867918624112991392690892117346591930476889320784877255408918509<165>

2354660717548632085930810427027872420560158973240907194361<58>
110252350834726031053669876534688733198402776558975800832042419583567198548249155434497783888753331738731669<108>

Number: n
N=259606879527919521996629847544519442432985035485525426149471902925845640220198743817383137025444220255867918624112991392690892117346591930476889320784877255408918509  ( 165 digits)
SNFS difficulty: 182 digits.
Divisors found:

Tue Mar 15 21:47:14 2022  p58 factor: 2354660717548632085930810427027872420560158973240907194361
Tue Mar 15 21:47:14 2022  p108 factor: 110252350834726031053669876534688733198402776558975800832042419583567198548249155434497783888753331738731669
Tue Mar 15 21:47:14 2022  elapsed time 00:23:06 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 473x10^180-5 = 525(180)
#
n: 259606879527919521996629847544519442432985035485525426149471902925845640220198743817383137025444220255867918624112991392690892117346591930476889320784877255408918509
m: 1000000000000000000000000000000000000
deg: 5
c5: 473
c0: -5
skew: 0.40
# Murphy_E = 7.063e-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 3513503 hash collisions in 33849676 relations (31687825 unique)
Msieve: matrix is 881447 x 881675 (297.2 MB)

Sieving start time : 2022/03/15 17:17:00
Sieving end time  : 2022/03/15 21:22:28

Total sieving time: 4hrs 5min 28secs.

Total relation processing time: 0hrs 11min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 40sec.

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)

7404442771384071547650377629144728159154655038975513951678702082147350245292807986219782674046334733564776468861443999464176044470675835001955172323392767<154>

287462017783321285087554381230495009165277705108680833340584587037<66>
25757986493246140642271157343164909377424531606305037116840026507768718048845588618745291<89>

Number: n
N=7404442771384071547650377629144728159154655038975513951678702082147350245292807986219782674046334733564776468861443999464176044470675835001955172323392767  ( 154 digits)
SNFS difficulty: 182 digits.
Divisors found:

Wed Mar 30 22:19:30 2022  p66 factor: 287462017783321285087554381230495009165277705108680833340584587037
Wed Mar 30 22:19:30 2022  p89 factor: 25757986493246140642271157343164909377424531606305037116840026507768718048845588618745291
Wed Mar 30 22:19:30 2022  elapsed time 00:21:52 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 473x10^181-5 = 525(181)
#
n: 7404442771384071547650377629144728159154655038975513951678702082147350245292807986219782674046334733564776468861443999464176044470675835001955172323392767
m: 1000000000000000000000000000000000000
deg: 5
c5: 946
c0: -1
skew: 0.25
# Murphy_E = 7.39e-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, 9500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3707072 hash collisions in 31292506 relations (29439192 unique)
Msieve: matrix is 892051 x 892282 (305.1 MB)

Sieving start time : 2022/03/30 18:53:49
Sieving end time  : 2022/03/30 21:57:07

Total sieving time: 3hrs 3min 18secs.

Total relation processing time: 0hrs 12min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 55sec.

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) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

5079273531332722027832177383017735991934299712081894237621324841432784652833807118294793361480431334143911382836918185523981302691442473645536444926810690298539088769<166>

92982933668726577766505786937489320961811309<44>
581668813071714758388767039057055032676994737926477<51>
93912321806711478001891193963131996813653822247104895624915237485712633<71>

Number: n
N=5079273531332722027832177383017735991934299712081894237621324841432784652833807118294793361480431334143911382836918185523981302691442473645536444926810690298539088769  ( 166 digits)
SNFS difficulty: 183 digits.
Divisors found:

Sat Mar 26 13:43:28 2022  found factor: 581668813071714758388767039057055032676994737926477
Sat Mar 26 13:44:36 2022  p44 factor: 92982933668726577766505786937489320961811309
Sat Mar 26 13:44:36 2022  p51 factor: 581668813071714758388767039057055032676994737926477
Sat Mar 26 13:44:36 2022  p71 factor: 93912321806711478001891193963131996813653822247104895624915237485712633
Sat Mar 26 13:44:36 2022  elapsed time 00:26:58 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 473x10^182-5 = 525(182)
#
n: 5079273531332722027832177383017735991934299712081894237621324841432784652833807118294793361480431334143911382836918185523981302691442473645536444926810690298539088769
m: 1000000000000000000000000000000000000
deg: 5
c5: 9460
c0: -1
skew: 0.16
# Murphy_E = 6.025e-11
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3720237 hash collisions in 30570489 relations (28613220 unique)
Msieve: matrix is 1004749 x 1004975 (343.0 MB)

Sieving start time : 2022/03/26 08:54:16
Sieving end time  : 2022/03/26 13:16:40

Total sieving time: 4hrs 22min 24secs.

Total relation processing time: 0hrs 16min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 22sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

443581680577989426022202578476635756546287521149315992579781470211874335290803569100656765569584957413359071459036801685355727625250327441205077<144>

620843364546907694458426202787230654017771167897139085523417819227<66>
714482437775131769383894551910411854800261253239296519218247461080769256193551<78>

Number: n
N=443581680577989426022202578476635756546287521149315992579781470211874335290803569100656765569584957413359071459036801685355727625250327441205077  ( 144 digits)
SNFS difficulty: 185 digits.
Divisors found:

Sun May  1 11:57:05 2022  p66 factor: 620843364546907694458426202787230654017771167897139085523417819227
Sun May  1 11:57:05 2022  p78 factor: 714482437775131769383894551910411854800261253239296519218247461080769256193551
Sun May  1 11:57:05 2022  elapsed time 00:34:31 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 473x10^184-5 = 525(184)
#
n: 443581680577989426022202578476635756546287521149315992579781470211874335290803569100656765569584957413359071459036801685355727625250327441205077
m: 1000000000000000000000000000000000000
deg: 5
c5: 946000
c0: -1
skew: 0.06
# Murphy_E = 3.746e-11
type: snfs
lss: 1
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3592506 hash collisions in 29297172 relations (27356376 unique)
Msieve: matrix is 1162657 x 1162884 (402.2 MB)

Sieving start time : 2022/05/01 06:50:42
Sieving end time  : 2022/05/01 11:22:01

Total sieving time: 4hrs 31min 19secs.

Total relation processing time: 0hrs 23min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 53sec.

Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8800000,8800000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

730114678300438141488927112528806055475800663376477963719252543605564973981200778806137635627281292401733488592555966193945467174545868266130012209593363197858957074457651<171>

13559982002301531909043740857944879307165836902451<50>
53843336825706404602541057733190341702310352165065519424798919504853731503235928102624385754884704358278930814103835315201<122>

Number: n
N=730114678300438141488927112528806055475800663376477963719252543605564973981200778806137635627281292401733488592555966193945467174545868266130012209593363197858957074457651  ( 171 digits)
SNFS difficulty: 189 digits.
Divisors found:

Thu Mar 17 20:02:03 2022  p50 factor: 13559982002301531909043740857944879307165836902451
Thu Mar 17 20:02:03 2022  p122 factor: 53843336825706404602541057733190341702310352165065519424798919504853731503235928102624385754884704358278930814103835315201
Thu Mar 17 20:02:03 2022  elapsed time 00:39:05 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.307).
Factorization parameters were as follows:
#
# N = 473x10^188-5 = 525(188)
#
n: 730114678300438141488927112528806055475800663376477963719252543605564973981200778806137635627281292401733488592555966193945467174545868266130012209593363197858957074457651
m: 10000000000000000000000000000000000000
deg: 5
c5: 94600
c0: -1
skew: 0.10
# Murphy_E = 3.213e-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 5414321 hash collisions in 37892289 relations (34613270 unique)
Msieve: matrix is 1239704 x 1239930 (419.0 MB)

Sieving start time : 2022/03/17 12:21:17
Sieving end time  : 2022/03/17 19:21:43

Total sieving time: 7hrs 0min 26secs.

Total relation processing time: 0hrs 26min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 4sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10300000,10300000,28,28,54,54,2.5,2.5,100000
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)

9768103690966653407197329263730564966021270352516546105078734679442112107550105099074232248871003090107947202513793772125650208533500189277119681138311751<154>

62985962595786509798243428682296321<35>
155083820083113210427754989197487677515298230623160460450192100495361268884485068288816448757614896658660362508977589831<120>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:685671644
Step 1 took 6000ms
********** Factor found in step 1: 62985962595786509798243428682296321
Found prime factor of 35 digits: 62985962595786509798243428682296321
Prime cofactor 155083820083113210427754989197487677515298230623160460450192100495361268884485068288816448757614896658660362508977589831 has 120 digits

GMP-ECM

141823165851503642933013360398986676614659576805401109112018042360149118614317200723577754868141173060531046020764882589872620193083780842713932751191885369939<159>

5586244579980812389858573872628187577602569<43>
25387926328852356938104315381441154146901218424251784759837145200943567594778825078949128801324678808357601212868731<116>

Number: n
N=141823165851503642933013360398986676614659576805401109112018042360149118614317200723577754868141173060531046020764882589872620193083780842713932751191885369939  ( 159 digits)
SNFS difficulty: 192 digits.
Divisors found:

Sat Apr  2 12:14:56 2022  p43 factor: 5586244579980812389858573872628187577602569
Sat Apr  2 12:14:56 2022  p116 factor: 25387926328852356938104315381441154146901218424251784759837145200943567594778825078949128801324678808357601212868731
Sat Apr  2 12:14:56 2022  elapsed time 00:51:33 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 473x10^190-5 = 525(190)
#
n: 141823165851503642933013360398986676614659576805401109112018042360149118614317200723577754868141173060531046020764882589872620193083780842713932751191885369939
m: 100000000000000000000000000000000000000
deg: 5
c5: 473
c0: -5
skew: 0.40
# Murphy_E = 2.751e-11
type: snfs
lss: 1
rlim: 11400000
alim: 11400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3707827 hash collisions in 30453293 relations (28493276 unique)
Msieve: matrix is 1398964 x 1399189 (484.1 MB)

Sieving start time : 2022/04/02 06:07:47
Sieving end time  : 2022/04/02 11:22:51

Total sieving time: 5hrs 15min 4secs.

Total relation processing time: 0hrs 37min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 44sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11400000,11400000,28,28,55,55,2.5,2.5,100000
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)

1176248198353616641249457245737476477570920088694835010578485015870245873954080549933864921853999386656133818241631822269938852778312064834175189900920306421346979<163>

7987396353462739868482335257714442143724863428541574599<55>
147263031193347888887809322544707772118881194776688572245303998559925816364090215664880024792057289369879621<108>

Number: n
N=1176248198353616641249457245737476477570920088694835010578485015870245873954080549933864921853999386656133818241631822269938852778312064834175189900920306421346979  ( 163 digits)
SNFS difficulty: 192 digits.
Divisors found:

Wed Apr  6 11:51:32 2022  p55 factor: 7987396353462739868482335257714442143724863428541574599
Wed Apr  6 11:51:32 2022  p108 factor: 147263031193347888887809322544707772118881194776688572245303998559925816364090215664880024792057289369879621
Wed Apr  6 11:51:32 2022  elapsed time 00:47:34 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 473x10^191-5 = 525(191)
#
n: 1176248198353616641249457245737476477570920088694835010578485015870245873954080549933864921853999386656133818241631822269938852778312064834175189900920306421346979
m: 100000000000000000000000000000000000000
deg: 5
c5: 946
c0: -1
skew: 0.25
# Murphy_E = 2.876e-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 3978053 hash collisions in 35066228 relations (32412183 unique)
Msieve: matrix is 1316035 x 1316260 (457.7 MB)

Sieving start time : 2022/04/06 04:54:40
Sieving end time  : 2022/04/06 11:03:11

Total sieving time: 6hrs 8min 31secs.

Total relation processing time: 0hrs 30min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 51sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000
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)

49709158472606581539747536689533042625396784201523583858617391557625250116592191480031587142153383872155847105514211649463038551504180907669237163473862918859653251026569079<173>

5472172977088207281218951993834296645435837969541<49>
9083988879872228420975007186051405118947165974089576863801151672649358404828473769494816574885382607446866566632144570415819<124>

Number: n
N=49709158472606581539747536689533042625396784201523583858617391557625250116592191480031587142153383872155847105514211649463038551504180907669237163473862918859653251026569079  ( 173 digits)
SNFS difficulty: 193 digits.
Divisors found:

Mon Apr  4 15:05:01 2022  p49 factor: 5472172977088207281218951993834296645435837969541
Mon Apr  4 15:05:01 2022  p124 factor: 9083988879872228420975007186051405118947165974089576863801151672649358404828473769494816574885382607446866566632144570415819
Mon Apr  4 15:05:01 2022  elapsed time 00:51:20 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 473x10^192-5 = 525(192)
#
n: 49709158472606581539747536689533042625396784201523583858617391557625250116592191480031587142153383872155847105514211649463038551504180907669237163473862918859653251026569079
m: 100000000000000000000000000000000000000
deg: 5
c5: 9460
c0: -1
skew: 0.16
# Murphy_E = 2.343e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3794657 hash collisions in 30395771 relations (28314877 unique)
Msieve: matrix is 1473020 x 1473245 (513.9 MB)

Sieving start time : 2022/04/04 08:28:23
Sieving end time  : 2022/04/04 14:13:09

Total sieving time: 5hrs 44min 46secs.

Total relation processing time: 0hrs 41min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 5sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
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)

2782310457130160987268085738446434869544402479291024508236940859669914783395950236044762294757<94>

164485314489912088611280480267109137<36>
16915251466420733537152619257764139930618881435203707130261<59>

prp59 = 16915251466420733537152619257764139930618881435203707130261
prp36 = 164485314489912088611280480267109137

Yafu

75408765218284587658686057932412695722274807039546902735242747947734099027681876909044520754638165118373399124830073700588558112764440756305035094456698490584730356127180177724679<179>

3033126315486255330409679903668941758438920908434273<52>
24861729243938671670724223629210420732568623583364387347339974400399023163229670652115533426850121994668355695887885564639166823<128>

Number: n
N=75408765218284587658686057932412695722274807039546902735242747947734099027681876909044520754638165118373399124830073700588558112764440756305035094456698490584730356127180177724679  ( 179 digits)
SNFS difficulty: 197 digits.
Divisors found:

Mon Apr 11 03:37:17 2022  p52 factor: 3033126315486255330409679903668941758438920908434273
Mon Apr 11 03:37:17 2022  p128 factor: 24861729243938671670724223629210420732568623583364387347339974400399023163229670652115533426850121994668355695887885564639166823
Mon Apr 11 03:37:17 2022  elapsed time 01:07:55 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 473x10^196-5 = 525(196)
#
n: 75408765218284587658686057932412695722274807039546902735242747947734099027681876909044520754638165118373399124830073700588558112764440756305035094456698490584730356127180177724679
m: 1000000000000000000000000000000000000000
deg: 5
c5: 946
c0: -1
skew: 0.25
# Murphy_E = 1.783e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3884054 hash collisions in 29973808 relations (27727907 unique)
Msieve: matrix is 1699083 x 1699309 (594.1 MB)

Sieving start time : 2022/04/10 19:30:45
Sieving end time  : 2022/04/11 02:28:48

Total sieving time: 6hrs 58min 3secs.

Total relation processing time: 0hrs 56min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 18sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,14000000,14000000,28,28,55,55,2.5,2.5,100000
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)

2738461761779614219456197698980707516068399045934634039507706698029352864279359808940948612199340417963865923677550481328401673621667326295911218887611729318370601<163>

19192148144113056798041880068707898561963136877<47>
57096057342367095001408620360705665910573548768083<50>
2499061672402913473266446249027310510143079128967635463553368534911<67>

Number: n
N=2738461761779614219456197698980707516068399045934634039507706698029352864279359808940948612199340417963865923677550481328401673621667326295911218887611729318370601  ( 163 digits)
SNFS difficulty: 198 digits.
Divisors found:

Tue May 31 02:57:00 2022  found factor: 2499061672402913473266446249027310510143079128967635463553368534911
Tue May 31 03:00:04 2022  p47 factor: 19192148144113056798041880068707898561963136877
Tue May 31 03:00:04 2022  p50 factor: 57096057342367095001408620360705665910573548768083
Tue May 31 03:00:04 2022  p67 factor: 2499061672402913473266446249027310510143079128967635463553368534911
Tue May 31 03:00:04 2022  elapsed time 01:39:22 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 473x10^197-5 = 525(197)
#
n: 2738461761779614219456197698980707516068399045934634039507706698029352864279359808940948612199340417963865923677550481328401673621667326295911218887611729318370601
m: 1000000000000000000000000000000000000000
deg: 5
c5: 9460
c0: -1
skew: 0.16
# Murphy_E = 1.452e-11
type: snfs
lss: 1
rlim: 14500000
alim: 14500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14500000/14500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3563041 hash collisions in 27457298 relations (25355665 unique)
Msieve: matrix is 1995827 x 1996052 (699.1 MB)

Sieving start time : 2022/05/30 16:45:03
Sieving end time  : 2022/05/31 01:20:14

Total sieving time: 8hrs 35min 11secs.

Total relation processing time: 1hrs 19min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 18sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14500000,14500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] 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)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

16288639666887908818861297264901354259700715777466827733558858926598539260480236270426734272705827726954442929797630072416792966389194116850845740270696671579605467049698901946312556940147<188>

972094401021522456015061091234867822126601486952814611833390288828062954655150281<81>
16756232367732023944399451196225965450662572552175722594137692717339861594017907709944375490008653777949787<107>

Number: n
N=16288639666887908818861297264901354259700715777466827733558858926598539260480236270426734272705827726954442929797630072416792966389194116850845740270696671579605467049698901946312556940147  ( 188 digits)
SNFS difficulty: 200 digits.
Divisors found:

Fri Apr 15 05:58:24 2022  p81 factor: 972094401021522456015061091234867822126601486952814611833390288828062954655150281
Fri Apr 15 05:58:24 2022  p107 factor: 16756232367732023944399451196225965450662572552175722594137692717339861594017907709944375490008653777949787
Fri Apr 15 05:58:24 2022  elapsed time 01:22:35 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 473x10^199-5 = 525(199)
#
n: 16288639666887908818861297264901354259700715777466827733558858926598539260480236270426734272705827726954442929797630072416792966389194116850845740270696671579605467049698901946312556940147
m: 1000000000000000000000000000000000
deg: 6
c6: 946
c0: -1
skew: 0.32
# Murphy_E = 1.473e-11
type: snfs
lss: 1
rlim: 15700000
alim: 15700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15700000/15700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 27850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3837353 hash collisions in 29879207 relations (28171306 unique)
Msieve: matrix is 1799542 x 1799767 (630.2 MB)

Sieving start time : 2022/04/14 20:41:46
Sieving end time  : 2022/04/15 04:35:18

Total sieving time: 7hrs 53min 32secs.

Total relation processing time: 1hrs 4min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 11sec.

Prototype def-par.txt line would be:
snfs,200,6,0,0,0,0,0,0,0,0,15700000,15700000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

404073582003077551514071846097616176850735915188913054759179270223174211286270172970494737620335991088541072112250467212327931868880279126177827767396692165555930769<165>

374931130863313204671246880095528997630583980499306482141<57>
1077727477770814039681075275785932839133142398395052607296442263515540347025968833256576310791516235229181509<109>

404073582003077551514071846097616176850735915188913054759179270223174211286270172970494737620335991088541072112250467212327931868880279126177827767396692165555930769=374931130863313204671246880095528997630583980499306482141*1077727477770814039681075275785932839133142398395052607296442263515540347025968833256576310791516235229181509

cado polynomial
n: 404073582003077551514071846097616176850735915188913054759179270223174211286270172970494737620335991088541072112250467212327931868880279126177827767396692165555930769
skew: 0.40
type: snfs
c0: -5
c5: 473
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 473*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: 374931130863313204671246880095528997630583980499306482141 1077727477770814039681075275785932839133142398395052607296442263515540347025968833256576310791516235229181509
Info:Square Root: Total cpu/real time for sqrt: 1153.24/369.615
Info:Square Root: Total cpu/real time for sqrt: 1153.24/369.615
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 220.06/75.7485
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 75.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 200.82/94.5765
Info:Filtering - Merging: Merged matrix has 3803887 rows and total weight 648691344 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1098.54/301.158
Info:Filtering - Merging: Total cpu/real time for replay: 150.91/138.84
Info:Quadratic Characters: Total cpu/real time for characters: 137.22/57.5578
Info:Generate Factor Base: Total cpu/real time for makefb: 6.99/3.02064
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49979550
Warning:Lattice Sieving: some stats could not be displayed for sieving (see log file for debug info)
Info:Linear Algebra: Total cpu/real time for bwc: 274589/70265.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 175535.98, WCT time 44717.29, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (119296 iterations)
Info:Linear Algebra: Lingen CPU time 841.08, WCT time 213.61
Info:Linear Algebra: Mksol: CPU time 96644.8,  WCT time 24696.96, iteration CPU time 0.39, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (59904 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 236.9/60.7292
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 542.15/179.273
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 163.4s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 278335/71740.2
Info:root: Cleaning up computation data in /tmp/cado.2mzd7yh3
374931130863313204671246880095528997630583980499306482141 1077727477770814039681075275785932839133142398395052607296442263515540347025968833256576310791516235229181509

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)

6311460671290609861087242571967907135224618743382570612059378813396324459381235611899009891535711767929521012129635366772313746778333073141606299973900056583533612706953080123643593<181>

13747024408814324944535586713439016774236592395734489169063803<62>
459114677009216911779286789337051730587764857668620283403174549851684246680068818405671869598113822453412489312812481931<120>

Number: n
N=6311460671290609861087242571967907135224618743382570612059378813396324459381235611899009891535711767929521012129635366772313746778333073141606299973900056583533612706953080123643593  ( 181 digits)
SNFS difficulty: 202 digits.
Divisors found:

Thu Jul 13 19:00:34 2023  prp62 factor: 13747024408814324944535586713439016774236592395734489169063803
Thu Jul 13 19:00:34 2023  prp120 factor: 459114677009216911779286789337051730587764857668620283403174549851684246680068818405671869598113822453412489312812481931
Thu Jul 13 19:00:34 2023  elapsed time 03:09:14 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.087).
Factorization parameters were as follows:
#
# N = 73x10^201-5 = 525(201)
#
n: 6311460671290609861087242571967907135224618743382570612059378813396324459381235611899009891535711767929521012129635366772313746778333073141606299973900056583533612706953080123643593
m: 10000000000000000000000000000000000000000
deg: 5
c5: 946
c0: -1
skew: 0.25
# Murphy_E = 1.101e-11
type: snfs
lss: 1
rlim: 16900000
alim: 16900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16900000/16900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2650575 hash collisions in 16116673 relations (14177497 unique)
Msieve: matrix is 2384484 x 2384710 (678.1 MB)

Sieving start time: 2023/07/13 01:30:24
Sieving end time  : 2023/07/13 15:50:51

Total sieving time: 14hrs 20min 27secs.

Total relation processing time: 2hrs 54min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 55sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16900000,16900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

50783027497299957383703681232192277320424243097365352682078675769282482243905682149631270102554128849240703613030823977649302307310999820653843675987765748623182896201537<170>

45957650715179265624339979623383659931<38>

1104996158572721106887499074282395559807860758012279693736438051572110075246904296887915528298243237697977349185456769943035049081427<133>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2760065827
Step 1 took 7002ms
Step 2 took 3027ms
********** Factor found in step 2: 45957650715179265624339979623383659931
Found probable prime factor of 38 digits: 45957650715179265624339979623383659931
Composite cofactor 1104996158572721106887499074282395559807860758012279693736438051572110075246904296887915528298243237697977349185456769943035049081427 has 133 digits

1104996158572721106887499074282395559807860758012279693736438051572110075246904296887915528298243237697977349185456769943035049081427<133>

10398174128926768110906177361310531014496603399<47>
106268287573558034069086546523014439349865144653231394786690073971877349037064361746773<87>

106268287573558034069086546523014439349865144653231394786690073971877349037064361746773 10398174128926768110906177361310531014496603399

n: 1104996158572721106887499074282395559807860758012279693736438051572110075246904296887915528298243237697977349185456769943035049081427
skew: 105576.994
c0: -8181745122757083304070167876968
c1: -326688316861557280087986842
c2: 371842795362602943327
c3: 84474042116970173
c4: -88073403390
c5: -1146600
Y0: -31058173507809042681972027
Y1: 178405616480933237
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.784e-07
# f(x) = -1146600*x^5-88073403390*x^4+84474042116970173*x^3+371842795362602943327*x^2-326688316861557280087986842*x-8181745122757083304070167876968
# g(x) = 178405616480933237*x-31058173507809042681972027

6096376690545344508624515941688813693930156381833492683993266620143261924842017445210312950153376601360121870581200935289160659036268620531386429817899989248844497<163>

47862238716157696471321773953404306355436903680948153<53>
127373412821312170793661364600244029408493101566579794281844178849253074797525292042441187501691771894563545049<111>

Number: n
N=6096376690545344508624515941688813693930156381833492683993266620143261924842017445210312950153376601360121870581200935289160659036268620531386429817899989248844497  ( 163 digits)
SNFS difficulty: 204 digits.
Divisors found:

Thu Sep 14 21:20:55 2023  prp53 factor: 47862238716157696471321773953404306355436903680948153
Thu Sep 14 21:20:55 2023  prp111 factor: 127373412821312170793661364600244029408493101566579794281844178849253074797525292042441187501691771894563545049
Thu Sep 14 21:20:55 2023  elapsed time 03:45:09 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.052).
Factorization parameters were as follows:
#
# N = 473x10^203-5 = 525(203)
#
n: 6096376690545344508624515941688813693930156381833492683993266620143261924842017445210312950153376601360121870581200935289160659036268620531386429817899989248844497
m: 10000000000000000000000000000000000000000
deg: 5
c5: 94600
c0: -1
skew: 0.10
# Murphy_E = 7.636e-12
type: snfs
lss: 1
rlim: 18300000
alim: 18300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18300000/18300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3428000 hash collisions in 17912543 relations (15097954 unique)
Msieve: matrix is 2605679 x 2605904 (737.1 MB)

Sieving start time: 2023/09/13 20:30:00
Sieving end time  : 2023/09/14 16:36:00

Total sieving time: 20hrs 6min 0secs.

Total relation processing time: 3hrs 33min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 55sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,18300000,18300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

10221932636815597847991433458568216272754875678175525494861479846260404274194158370801146671766827559454153119364295199905776688590875250280670930487616441967840892268826022922629910930876611764299089859<203>

5780179636073762574893166058901983<34>
1768445494846062385375555250346152171119899721050288463265789916844444051668289794082990977649629447828684086151991117911886281333556595931755844421047600628488546479773<169>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2504022704
Step 1 took 10098ms
Step 2 took 3607ms
********** Factor found in step 2: 5780179636073762574893166058901983
Found probable prime factor of 34 digits: 5780179636073762574893166058901983
Probable prime cofactor 1768445494846062385375555250346152171119899721050288463265789916844444051668289794082990977649629447828684086151991117911886281333556595931755844421047600628488546479773 has 169 digits

25967985078693716133175567085012564079520240566544933603736429918667426601041272437921196226724879164687889007399392248810090942531611883834350570040140573<155>

593920580248539652535488633684498373014173271247<48>
52061099426345147283697888431946421658573340920249103<53>
839839976232661550004815444244075365125535141938416253<54>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3615009967
Step 1 took 67810ms
Step 2 took 28606ms
********** Factor found in step 2: 52061099426345147283697888431946421658573340920249103
Found prime factor of 53 digits: 52061099426345147283697888431946421658573340920249103
Composite cofactor 498798246000022098600837725496825851942976044501241440453687513267083275937756914147980187923362377491 has 102 digits

N=498798246000022098600837725496825851942976044501241440453687513267083275937756914147980187923362377491
  ( 102 digits)
Divisors found:
p48 factor: 593920580248539652535488633684498373014173271247
p54 factor: 839839976232661550004815444244075365125535141938416253
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.73 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 498798246000022098600837725496825851942976044501241440453687513267083275937756914147980187923362377491
skew: 519741.86
c0: 737805035277567976185731075
c1: -4176855099013283784854
c2: -33381424511744215
c3: 40109890434
c4: 49560
Y0: -1781138242262918077735958
Y1: 15742548889421
rlim: 2080000
alim: 2080000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 2080000/2080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1040000, 1440001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 237727 x 237958
Total sieving time: 1.68 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,101,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2080000,2080000,26,26,52,52,2.5,2.5,100000
total time: 1.73 hours.
 --------- CPU info (if available) ----------

53874646311973281278569774067323944414153974379416053510718368221717566297848133267427140043013200483973073500309185720587234373501897779351657789834444149564501<161>

87080745248955753893323706599793556263049148860198775007431094341713436143459463763813195129983652489535737690243152393480068953958407116701370444562500429190338208232083<170>

32426535112698892889501160030409112142635361437921<50>
2685477956442319887805287732501708968935815121838086243904501840332599672942871428324987183342471082498152265664055911923<121>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2767818430
Step 1 took 23235ms
Step 2 took 10818ms
********** Factor found in step 2: 32426535112698892889501160030409112142635361437921
Found prime factor of 50 digits: 32426535112698892889501160030409112142635361437921
Prime cofactor 2685477956442319887805287732501708968935815121838086243904501840332599672942871428324987183342471082498152265664055911923 has 121 digits

2023730945081736788162136895260876282341569014551098815633011169443180281396378276247734638888200069208463310436679544733136270715075287258376994329280095920741223304828589300337406115433026971373<196>

3338146018806208626369388840456824165083669990286329102059484173031875735656666634385242423383188782530001889357826680752818007875140102187993774175321363279772461482232518518604866560601351057337311<199>

12863880089954964872506689065152077520886443410825224118364661823915067563911616620588456885447717473745809810152946646814157290704573736438978019655996420527641297492354847458631<179>

18671129116877438958531076636714123853059641220573251534621898102367594679020874681087854164656203673263114389317249485698563447225619192252387185146847856729392823557391<170>

26922309911859549883672239173228720059546047549196064698643293267520356793424685987825248603395747403335823417438097580770286061100952384209796376094430874613590463079623655123117085256849<188>

190411284394831826578572306878251039996895581<45>
141390306763721822303594599795581558207892787189427758409627541703916058183000543551571767347537839202020013126663732370264540752849601988985029<144>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3947917491
Step 1 took 106493ms
Step 2 took 37142ms
********** Factor found in step 2: 190411284394831826578572306878251039996895581
Found prime factor of 45 digits: 190411284394831826578572306878251039996895581
Prime cofactor 141390306763721822303594599795581558207892787189427758409627541703916058183000543551571767347537839202020013126663732370264540752849601988985029 has 144 digits

11491635883116206562381532653638271149884881029134252816033424919476230574598758090698826556884535894379613277146151664405607208309689843627106149269<149>

318563600295328655561956942085056169<36>

36073286064267014459026951556779639937327377640372623515728970214497765483229645253744384362871028658286523589901<113>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:259490247
Step 1 took 3062ms
********** Factor found in step 2: 318563600295328655561956942085056169
Found prime factor of 36 digits: 318563600295328655561956942085056169
Composite cofactor 36073286064267014459026951556779639937327377640372623515728970214497765483229645253744384362871028658286523589901 has 113 digits
 

GMP-ECM

36073286064267014459026951556779639937327377640372623515728970214497765483229645253744384362871028658286523589901<113>

1071273434063948241862087049389008914354872027<46>
33673276044399386887298539763360330003019294101150231625688012868663<68>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2220716871
Step 1 took 3594ms
Step 2 took 2625ms
********** Factor found in step 2: 1071273434063948241862087049389008914354872027
Found prime factor of 46 digits: 1071273434063948241862087049389008914354872027
Prime cofactor 33673276044399386887298539763360330003019294101150231625688012868663 has 68 digits
 

GMP-ECM

365452824035480845810675997068213825181779257580478698750224393732085855559985763209632184299395144632488504102915097149643474867815278943378163782803294174912575562243751727998383162534223676699737802317309083457<213>

612760921878459522182397733314533902048042957485288488942413896560348160556085985002548348932682212848399874358076110792133671173203071453507219789793252273045299809592275323479101728416339567<192>

5791117112848587167846680609306840563264940584442919531898989835966034879819726550219469036464705970571298617367211698019153319395607763172223447817427910587164572046715612609965152178022667495208856533<202>

578477115925459524186524449822465765423<39>

10010970103084958753467979557144028995736184256481317564415664523347920905250590511871202076084695457496448523135340859711250750393353006020116755664057876461600571<164>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1533218378
Step 1 took 32945ms
Step 2 took 13616ms
********** Factor found in step 2: 578477115925459524186524449822465765423
Found prime factor of 39 digits: 578477115925459524186524449822465765423
Composite cofactor 10010970103084958753467979557144028995736184256481317564415664523347920905250590511871202076084695457496448523135340859711250750393353006020116755664057876461600571 has 164 digits

10010970103084958753467979557144028995736184256481317564415664523347920905250590511871202076084695457496448523135340859711250750393353006020116755664057876461600571<164>

115476457571073596947018543205670012050816731<45>
86692736456029525709671482584933501234133242816745083198485136401221059026686416088976873974407072300009083926504996641<119>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:331776153
Step 1 took 108320ms
Step 2 took 38730ms
********** Factor found in step 2: 115476457571073596947018543205670012050816731
Found prime factor of 45 digits: 115476457571073596947018543205670012050816731
Prime cofactor 86692736456029525709671482584933501234133242816745083198485136401221059026686416088976873974407072300009083926504996641 has 119 digits

10400421311037646033295012248414064261837319179209917326094732560913216981368002117965902302792152468836817340558886824137186348396680534788399820186010363178455779955643451738876713944497171620946527571702773793<212>

59281468583035171565512642534454210951<38>
175441357301562845564011917523965782586430547692667001805613473967597797726723121433396039223439623664991909153603891985635504406638451204091207593700753682990803022299697943<174>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3540653060
Step 1 took 12354ms
Step 2 took 4332ms
********** Factor found in step 2: 59281468583035171565512642534454210951
Found probable prime factor of 38 digits: 59281468583035171565512642534454210951
Probable prime cofactor 175441357301562845564011917523965782586430547692667001805613473967597797726723121433396039223439623664991909153603891985635504406638451204091207593700753682990803022299697943 has 174 digits

5278858515814499723653251963622155324157109149490327999371437106231246018456442828011950702157443807297007308262665867065497968511839037430312987216947771066354474428035459482447<178>

9896882963802319393151747139460135215973613039718293415112564655611305251580862722183680080445852719977561527887806467456278703609068900805332520741127558072730699199611616014359065921337876281229897616027<205>

1445829292123143760238784890488551716534248490686695322343778345546253453334726632804377268606440451138678237501371475723641755406523725375629936196739312742899810130229590585507803<181>

2206704529090172201032425386406680154835257286949357047798093480759213404177289166651846846453630025180977637166072117522354012932642902553968499331609349142246322603901443083920563689965507<190>

750543104430008676998659709632599279344910234657662912405020725583112367635517136529048665454879350357839603037373273421097513269228453414141694002127968802130053675050933772883351<180>

279208594795017941502757796121695969<36>

2688108884975488557956684034128945953533291114969531218178344239717121318216136039538277263221922883500958014472362513664121970596684285782332279<145>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:783098482
Step 1 took 22596ms
Step 2 took 9191ms
********** Factor found in step 2: 279208594795017941502757796121695969
Found prime factor of 36 digits: 279208594795017941502757796121695969
Composite cofactor 2688108884975488557956684034128945953533291114969531218178344239717121318216136039538277263221922883500958014472362513664121970596684285782332279 has 145 digits

2688108884975488557956684034128945953533291114969531218178344239717121318216136039538277263221922883500958014472362513664121970596684285782332279<145>

120631736726365530552764383539294991081061854415234539<54>
22283595991600854794082341580795402492507564435169383268330520707572434354401389902225418661<92>

Number: 52555_233
N = 2688108884975488557956684034128945953533291114969531218178344239717121318216136039538277263221922883500958014472362513664121970596684285782332279 (145 digits)
Divisors found:
r1=120631736726365530552764383539294991081061854415234539 (pp54)
r2=22283595991600854794082341580795402492507564435169383268330520707572434354401389902225418661 (pp92)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 294.87 hours.
Factorization parameters were as follows:
# Murphy_E = 1.093e-11, selected by Dmitry Domanov
n: 2688108884975488557956684034128945953533291114969531218178344239717121318216136039538277263221922883500958014472362513664121970596684285782332279
Y0: -7402939362618920428061648085
Y1: 1416615145375091
c0: 187785165010835065538537484610097264
c1: 1766024218776465285211194883294
c2: 1185184061737968911353962
c3: -863679646094131069
c4: -589182945536
c5: 120900
skew: 1759300.3
type: gnfs
# selected mechanically
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 37350698
Relations: 5868564 relations
Pruned matrix : 3472273 x 3472502
Polynomial selection time: 0.00 hours.
Total sieving time: 291.52 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.78 hours.
time per square root: 0.35 hours.
Prototype def-par.txt line would be: gnfs,144,5,65,2000,1e-05,0.28,250,20,50000,3600,24000000,24000000,29,29,56,56,2.6,2.6,100000
total time: 294.87 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22631-SP0
processors: 16, speed: 3.79GHz

GGNFS, Msieve

5758931238196542470221705265914651719984511947964004197115496307668774084825350282587708288782068004933209990270014648964344182741084572545335903488986274218283752890015026354606435103433191471651368873531292037<211>

2974475574423088735393326287446754349700145690649932814434539020284615253993485604080556075081707684461030301121509524590872446387471826480084885173408567210233715980805287638304484453966568385601<196>

91322669883278240694996422360421050455756293373211437837109518374372585000165714956599885494294843709320470115179274264579330920230181300009056956807768873116842462683363197703190887519395961168163<197>

53458936768208350644264007590859469452312307005974465060221940368809028195009623289032108202412149660282747919113985864481833942130031401257603539635382605195303214600423<170>

876784348465818176892365408901832801667<39>
60971591089359495775113649093978456283307050514604451081454600137899052384139773136887331318009028059293133882004525943235892856269<131>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:961220128
Step 1 took 27815ms
Step 2 took 12959ms
********** Factor found in step 2: 876784348465818176892365408901832801667
Found prime factor of 39 digits: 876784348465818176892365408901832801667
Prime cofactor 60971591089359495775113649093978456283307050514604451081454600137899052384139773136887331318009028059293133882004525943235892856269 has 131 digits

12674791775628736861358696530953362328017769233792941469023935631329589177077754552262747526847614779612383785570278840431126220980250781786777778187571895387337257956122789426866522106967757<191>

1554518432127169993114272107671796593925227893470265044899701435509036344986026506116791758567709441246096716779838402057590832640003323317206272715215723365655978267898049028426801547597045619643946591019132917553880126482587035490461<235>

715041572184429327286470143613000755857898715041572184429327286470143613000755857898715041572184429327286470143613000755857898715041572184429327286470143613000755857898715041572184429327286470143613000755857898715041572184429327286470143613<240>

44099281954714386954483226376348141543989229<44>
16214358612884139410949670002579012636495287652390349080344518219785938730224433702582368033076325074805197450814438217542163174427740384087103864267036321605729128390392879650130629245644926719697<197>

Resuming ECM residue saved by @fd68ecbd5b30 with GMP-ECM 7.0.5-dev on Sun May 22 19:31:10 2022 
Input number is 715041572184429327286470143613000755857898715041572184429327286470143613000755857898715041572184429327286470143613000755857898715041572184429327286470143613000755857898715041572184429327286470143613000755857898715041572184429327286470143613 (240 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2556852444
Step 1 took 0ms
Step 2 took 38208ms
********** Factor found in step 2: 44099281954714386954483226376348141543989229
Found prime factor of 44 digits: 44099281954714386954483226376348141543989229
Prime cofactor 16214358612884139410949670002579012636495287652390349080344518219785938730224433702582368033076325074805197450814438217542163174427740384087103864267036321605729128390392879650130629245644926719697 has 197 digits

8818615893066172152992358660006654046537495384442712416079823202598751019244624955732132957507415421223611853375688791231573777090559634398456201542474732940895604087773380588436594571219039410357138096262183975903738002464178567836270557<238>

90371141681377538562232371434489035192621645882921876233526379399258662960661164130059199824050864429187955825679942011891513808592517440486136948265894447286229954844053889487564744764928321556274575680280545436263683489219249118558693<236>

1538413944702697229013405033492775026169132675186545224965898440750319991198203671250189364974290384739928531249889706006072005027876328192911291964875301643599452989503716656119172189584518319644744781355585940076603234296655799783794329<238>

927312264393018804081976416625588463833572406413629215120650595861226890262004199630883742263829831157070104884989320088408662309240274182872724672865627897777251767524179064108049116775872440891018453085048290786532616959<222>

5812093625988016213935749217115243664766244154450105350468902023937362164646145741852746212655528281150616568616019262814325626791354008976126270940933876247928967662901918053349488092490687313220659668259258932747185016752146700667826681<238>

6224548856465320489315236086041518521375779452902967764834810804060755101799656350329752907624668299622841102650818137005156645844059087217483913041527789702707284283293393321489913175526798109571323470729512980007086027734172394939184559753<241>

373862957661711827565126558832020481616567<42>
16649279445591865255936939029446673454828073815847827237340233611951946281811476751133552572605532387203139924349966811702773265517890998397095575224699111291042866301850855648909858573501702627616959<200>

Resuming ECM residue saved by @fd68ecbd5b30 with GMP-ECM 7.0.5-dev on Sun May 22 20:53:00 2022 
Input number is 6224548856465320489315236086041518521375779452902967764834810804060755101799656350329752907624668299622841102650818137005156645844059087217483913041527789702707284283293393321489913175526798109571323470729512980007086027734172394939184559753 (241 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2473341699
Step 1 took 0ms
Step 2 took 34526ms
********** Factor found in step 2: 373862957661711827565126558832020481616567
Found prime factor of 42 digits: 373862957661711827565126558832020481616567
Prime cofactor 16649279445591865255936939029446673454828073815847827237340233611951946281811476751133552572605532387203139924349966811702773265517890998397095575224699111291042866301850855648909858573501702627616959 has 200 digits

7419113114462144318977195454784496810559232995055961014528373425473296592389586540197557427583936850019740593000362288683512960326794506167932326468411823624457911245677894019472965726764030568727757<199>

18047614414435039080907112019215176784586650488678269794665460948663503564690014098506397745765201681137190486274464914941555109134649321115899643054053177505728114405850021653321734020897840200393384576348467765167341067480144762471645595218336071<248>

4673682130329529173459809297959586976928017390445136109875994269057852872881774615878662121436687910676349982708364211254384664789289066745714144558075193913344202361543402005829751494491378884442468257497159231263277506052072526060965367323748826639<250>

1405832276735335060460012603940084094921<40>
3324494826070497452095957546550689952005450223839980956833353515303163062208741994060780840025600524568536971294711266077253567473338859192726526464069039662884815491941269236229859273930049980839927443008750359<211>

Resuming ECM residue saved by @d360b5f2a181 with GMP-ECM 7.0.5-dev on Mon Mar 14 22:17:46 2022 
Input number is 4673682130329529173459809297959586976928017390445136109875994269057852872881774615878662121436687910676349982708364211254384664789289066745714144558075193913344202361543402005829751494491378884442468257497159231263277506052072526060965367323748826639 (250 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3561122666
Step 1 took 0ms
Step 2 took 11862ms
********** Factor found in step 2: 1405832276735335060460012603940084094921
Found prime factor of 40 digits: 1405832276735335060460012603940084094921
Prime cofactor 3324494826070497452095957546550689952005450223839980956833353515303163062208741994060780840025600524568536971294711266077253567473338859192726526464069039662884815491941269236229859273930049980839927443008750359 has 211 digits

212955685003496124438805314591638629633253825780762997046649720782363855126303778110927157278931524254998604362578567483788467519057540223453072010568339811422137046642687903654572726659605514048017510781237398608761769043872749712232858641<240>

12679710377819337718693431158214359204171<41>

16794995994231876037386406195184803139496351115510102625942997128980827817616204211692070209495658826078212691276605956868061387050115682545189119331436651642834284390154851840057287787317064776487571<200>

Resuming ECM residue saved by @d385c7adc66c with GMP-ECM 7.0.5-dev on Mon Mar 21 18:04:44 2022 
Input number is 212955685003496124438805314591638629633253825780762997046649720782363855126303778110927157278931524254998604362578567483788467519057540223453072010568339811422137046642687903654572726659605514048017510781237398608761769043872749712232858641 (240 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2222635111
Step 1 took 0ms
Step 2 took 13631ms
********** Factor found in step 2: 12679710377819337718693431158214359204171
Found prime factor of 41 digits: 12679710377819337718693431158214359204171
Composite cofactor 16794995994231876037386406195184803139496351115510102625942997128980827817616204211692070209495658826078212691276605956868061387050115682545189119331436651642834284390154851840057287787317064776487571 has 200 digits

105067403390463929395694780407763515933146154660890254778509578067313653926156516531719566040042978991689125717866535825370932679845577552416216895857176590194935346042312609738193037409257849583786825472383839171476165277548798074722010666257<243>

48809072212586115542829739276180189915899188604944950890257719186283236077275235556341055614429721919870978401275962234452234867387801863616911069998907059843316163562132986538173559632409866390930998167268702289493507<218>

162411839470488797067224135695907462827253<42>

300526564884175306602673320862917651856951721537054441979991833698398975814057644537224818028309872461780656275426447474109383569430731100225501041127947102206461963707438416919<177>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1191280505
Step 1 took 76342ms
Step 2 took 27508ms
********** Factor found in step 2: 162411839470488797067224135695907462827253
Found prime factor of 42 digits: 162411839470488797067224135695907462827253
Composite cofactor 300526564884175306602673320862917651856951721537054441979991833698398975814057644537224818028309872461780656275426447474109383569430731100225501041127947102206461963707438416919 has 177 digits

361999182798147296763654189402236522483634106097764040865461015588566146643575185511814062165586112411563552246608192875685501784013306511108205897558862878697128581361145848828608723345279931787699397043684484096159<216>

42441951701027112560813789844700478144858355461417547659610874811348182118054696860610851802212792901146257895273618732249783901832024926068238151164212694642673957851<167>

189994330901432304048660896264748680881132361010083004069544427413763166497672996794984029580182491757024931534229881660273950368522009934303103083775541621726296013482538263098651244963273201300687025869487958044142130184799529322994967480333<243>

788064921786938497491118641209512392890432783<45>

241089694070660889670664025139412968659568724969360065570124515930047747753774094423806376619340758811079501185580702817644594064948563480078738166528290816583488531052946507857735381720353788354851<198>

Resuming ECM residue saved by @820703f93f6b with GMP-ECM 7.0.5-dev on Sat Jun 18 10:38:57 2022 
Input number is 189994330901432304048660896264748680881132361010083004069544427413763166497672996794984029580182491757024931534229881660273950368522009934303103083775541621726296013482538263098651244963273201300687025869487958044142130184799529322994967480333 (243 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1748619058
Step 1 took 0ms
Step 2 took 32123ms
********** Factor found in step 2: 788064921786938497491118641209512392890432783
Found prime factor of 45 digits: 788064921786938497491118641209512392890432783
Composite cofactor 241089694070660889670664025139412968659568724969360065570124515930047747753774094423806376619340758811079501185580702817644594064948563480078738166528290816583488531052946507857735381720353788354851 has 198 digits

418618881240486774202182744580625492272043680357738598637505307058133251680308042556726375123538634235385130747155187098523897096857687757100928459855479626329509147424052219434552412133587029838932913897671767<210>

270310879789402756110302461047151166868928269499<48>
1548657166765280425460412471215427795717731148759977855846261634954989342629761504156395261397130621735862809154179987720483487656370427656708321722743304508371733<163>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4028159899
Step 1 took 35976ms
Step 2 took 7286ms
********** Factor found in step 2: 270310879789402756110302461047151166868928269499
Found prime factor of 48 digits: 270310879789402756110302461047151166868928269499
Prime cofactor 1548657166765280425460412471215427795717731148759977855846261634954989342629761504156395261397130621735862809154179987720483487656370427656708321722743304508371733 has 163 digits