30555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557<131>

300991277941653964711880187826595051<36>
101516415241370003756560526430094351181286942328200011640595544749217391845524254441360281380207<96>

Number: 1
N=30555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557
  ( 131 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=300991277941653964711880187826595051 (pp36)
 r2=101516415241370003756560526430094351181286942328200011640595544749217391845524254441360281380207 (pp96)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.41 hours.
Scaled time: 18.66 units (timescale=7.752).
Factorization parameters were as follows:
n: 30555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557
m: 500000000000000000000000000000000
deg: 4
c4: 22
c0: 65
skew: 1.31
# Murphy_E = 1.046e-08
type: snfs
lss: 1
rlim: 1120000
alim: 1120000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1120000/1120000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [560000, 1160001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 153188 x 153414
Total sieving time: 2.39 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,132.000,4,0,0,0,0,0,0,0,0,1120000,1120000,26,26,47,47,2.3,2.3,100000
total time: 2.41 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

1516087839160853669771040693715094347856348307267034784544192321268103458426116722837543382226278128186596367201<112>

32872687806009167484489082736181252668786656426886138471<56>
46119984106797344417067131950400395074663655489017552631<56>

Number: 1
N=1516087839160853669771040693715094347856348307267034784544192321268103458426116722837543382226278128186596367201
  ( 112 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=32872687806009167484489082736181252668786656426886138471 (pp56)
 r2=46119984106797344417067131950400395074663655489017552631 (pp56)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.01 hours.
Scaled time: 23.40 units (timescale=7.776).
Factorization parameters were as follows:
n: 1516087839160853669771040693715094347856348307267034784544192321268103458426116722837543382226278128186596367201
m: 1000000000000000000000000000000000
deg: 4
c4: 55
c0: 26
skew: 0.83
# Murphy_E = 7.453e-09
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1395001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 200380 x 200605
Total sieving time: 2.98 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,133.000,4,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,100000
total time: 3.01 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

30555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557<134>

145406224751802246944883057957697754916499129<45>
210139253719788448929790820739422390118151386374879065021635468051800583504693066265486733<90>

Number: n
N=30555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557  ( 134 digits)
SNFS difficulty: 134 digits.
Divisors found:

Thu Oct  6 21:15:18 2022  p45 factor: 145406224751802246944883057957697754916499129
Thu Oct  6 21:15:18 2022  p90 factor: 210139253719788448929790820739422390118151386374879065021635468051800583504693066265486733
Thu Oct  6 21:15:18 2022  elapsed time 00:02:54 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 55x10^133+26 = 61(132)4
#
n: 30555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557
m: 1000000000000000000000000000000000
deg: 4
c4: 275
c0: 13
skew: 0.47
# Murphy_E = 8.993e-09
type: snfs
lss: 1
rlim: 1220000
alim: 1220000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1220000/1220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved  special-q in [100000, 6210000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 403001 hash collisions in 5770698 relations (6008899 unique)
Msieve: matrix is 189330 x 189558 (62.6 MB)

Sieving start time : 2022/10/06 21:01:31
Sieving end time  : 2022/10/06 21:10:10

Total sieving time: 0hrs 8min 39secs.

Total relation processing time: 0hrs 1min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 11sec.

Prototype def-par.txt line would be:
snfs,134,4,0,0,0,0,0,0,0,0,1220000,1220000,26,26,47,47,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

86888476965112511605223261715530672347601796475701371166957249246735645016125508131967753477439082529322953516649<113>

352764155777296696760641949493841503095964279535823<51>
246307555748283048018002796908009786849084543355712411012942663<63>

Number: 1
N=86888476965112511605223261715530672347601796475701371166957249246735645016125508131967753477439082529322953516649
  ( 113 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=352764155777296696760641949493841503095964279535823 (pp51)
 r2=246307555748283048018002796908009786849084543355712411012942663 (pp63)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.12 hours.
Scaled time: 24.38 units (timescale=7.819).
Factorization parameters were as follows:
n: 86888476965112511605223261715530672347601796475701371166957249246735645016125508131967753477439082529322953516649
m: 5000000000000000000000000000000000
deg: 4
c4: 22
c0: 65
skew: 1.31
# Murphy_E = 6.652e-09
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [650000, 1450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 221520 x 221768
Total sieving time: 3.08 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,136.000,4,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,100000
total time: 3.12 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

1126592163728553120361677580994784455207511985088172065187542629343820306694434422917865571466567087<100>

132975127348870076548674247414879249<36>
8472202179380925107183461845333323790530941600213875624879625663<64>

N=1126592163728553120361677580994784455207511985088172065187542629343820306694434422917865571466567087
  ( 100 digits)
Divisors found:
 r1=132975127348870076548674247414879249 (pp36)
 r2=8472202179380925107183461845333323790530941600213875624879625663 (pp64)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.59 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1126592163728553120361677580994784455207511985088172065187542629343820306694434422917865571466567087
skew: 520775.83
c0: 520325192049195004054796455
c1: 1321618310887409675516
c2: -8191407588130734
c3: -10871487585
c4: 18900
Y0: -494113183023087310829802
Y1: 1666366102739
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [900000, 1200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 188728 x 188955
Total sieving time: 1.54 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,99,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,52,52,2.5,2.5,100000
total time: 1.59 hours.
 --------- CPU info (if available) ----------

30555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557<143>

68688255924787936456253638760249693249182757<44>
514559257932165257525181553787225136687664846057<48>
864514533564142989836312191268800180695233112730393<51>

Number: 1
N=30555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557
  ( 143 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=68688255924787936456253638760249693249182757 (pp44)
 r2=514559257932165257525181553787225136687664846057 (pp48)
 r3=864514533564142989836312191268800180695233112730393 (pp51)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.98 hours.
Scaled time: 62.27 units (timescale=7.800).
Factorization parameters were as follows:
n: 30555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557
m: 500000000000000000000000000000000000
deg: 4
c4: 22
c0: 65
skew: 1.31
# Murphy_E = 2.651e-09
type: snfs
lss: 1
rlim: 1770000
alim: 1770000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1770000/1770000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [885000, 1685001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 242155 x 242381
Total sieving time: 7.93 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,144.000,4,0,0,0,0,0,0,0,0,1770000,1770000,26,26,49,49,2.3,2.3,100000
total time: 7.98 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

10284135853158193395227962725832294226309653381814722402188167324409077813138551020078840679620509331737644740323<113>

6187258888576929430878288775119142629337163<43>
1662147331857249365031530528730695770297168295924448489129644052997321<70>

Number: 1
N=10284135853158193395227962725832294226309653381814722402188167324409077813138551020078840679620509331737644740323
  ( 113 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=6187258888576929430878288775119142629337163 (pp43)
 r2=1662147331857249365031530528730695770297168295924448489129644052997321 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.83 hours.
Scaled time: 45.43 units (timescale=7.788).
Factorization parameters were as follows:
n: 10284135853158193395227962725832294226309653381814722402188167324409077813138551020078840679620509331737644740323
m: 100000000000000000000000000000
deg: 5
c5: 275
c0: 13
skew: 0.54
# Murphy_E = 1.778e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 324058 x 324283
Total sieving time: 5.78 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 5.83 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

43961406572266189716798725804417849091992091494204680465322096613128915755561375436399451771983227427882846673313098225208405294442267<134>

193103552129172636151630394451861038614821191997810697214149237<63>
227657161598245039088435286361323170087907528754731983058923452673274191<72>

Number: n
N=43961406572266189716798725804417849091992091494204680465322096613128915755561375436399451771983227427882846673313098225208405294442267  ( 134 digits)
SNFS difficulty: 150 digits.
Divisors found:

Thu Oct  6 20:20:18 2022  p63 factor: 193103552129172636151630394451861038614821191997810697214149237
Thu Oct  6 20:20:18 2022  p72 factor: 227657161598245039088435286361323170087907528754731983058923452673274191
Thu Oct  6 20:20:18 2022  elapsed time 00:05:05 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.304).
Factorization parameters were as follows:
#
# N = 55x10^148+26 = 61(147)4
#
n: 43961406572266189716798725804417849091992091494204680465322096613128915755561375436399451771983227427882846673313098225208405294442267
m: 500000000000000000000000000000
deg: 5
c5: 44
c0: 65
skew: 1.08
# Murphy_E = 1.509e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 977792 hash collisions in 12874973 relations (12754448 unique)
Msieve: matrix is 295189 x 295417 (96.9 MB)

Sieving start time : 2022/10/06 19:45:44
Sieving end time  : 2022/10/06 20:14:58

Total sieving time: 0hrs 29min 14secs.

Total relation processing time: 0hrs 1min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 24sec.

Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

496373647555541187794702675163356116161758099865793200666555803868728989067559937072817454547922466003053004781630521730398967268453832007266621401<147>

10334273098726582700916590153923394244183686371326727<53>
48031791187781335254163692385397017787870609250568743970158663070798013658235077286914767928863<95>

Number: 1
N=496373647555541187794702675163356116161758099865793200666555803868728989067559937072817454547922466003053004781630521730398967268453832007266621401
  ( 147 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=10334273098726582700916590153923394244183686371326727 (pp53)
 r2=48031791187781335254163692385397017787870609250568743970158663070798013658235077286914767928863 (pp95)
Version: Msieve v. 1.52 (SVN 927)
Total time: 10.49 hours.
Scaled time: 81.63 units (timescale=7.782).
Factorization parameters were as follows:
n: 496373647555541187794702675163356116161758099865793200666555803868728989067559937072817454547922466003053004781630521730398967268453832007266621401
m: 5000000000000000000000000000000
deg: 5
c5: 44
c0: 65
skew: 1.08
# Murphy_E = 9.73e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 434801 x 435030
Total sieving time: 10.41 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 10.49 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

117937025102659717656366977611145341546198560690259684063121560651018555240582585688914207468536742866809035992962532825341004697567<132>

67715231579162368525349672253401009441552082449807<50>
1741661696376031035223765587420170346535829393717900719019953610829108794869397681<82>

Number: 1
N=117937025102659717656366977611145341546198560690259684063121560651018555240582585688914207468536742866809035992962532825341004697567
  ( 132 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=67715231579162368525349672253401009441552082449807 (pp50)
 r2=1741661696376031035223765587420170346535829393717900719019953610829108794869397681 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.59 hours.
Scaled time: 106.60 units (timescale=7.843).
Factorization parameters were as follows:
n: 117937025102659717656366977611145341546198560690259684063121560651018555240582585688914207468536742866809035992962532825341004697567
m: 10000000000000000000000000000000
deg: 5
c5: 55
c0: 26
skew: 0.86
# Murphy_E = 7.302e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 440271 x 440496
Total sieving time: 13.49 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 13.59 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

225727521093286738510680334187345911673577799013073803944991949830165609149236477932184349223694695375264095146077443436822235931844777874199545687986141<153>

354846304115664456407022728482781<33>
636127581082849288009544257911283842294392338171799034570555669937381934333520507713902400279014330882726882302217666561<120>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 225727521093286738510680334187345911673577799013073803944991949830165609149236477932184349223694695375264095146077443436822235931844777874199545687986141 (153 digits)
Using B1=15140000, B2=46847553490, polynomial Dickson(12), sigma=1:3303366887
Step 1 took 29187ms
Step 2 took 14195ms
********** Factor found in step 2: 354846304115664456407022728482781
Found prime factor of 33 digits: 354846304115664456407022728482781
Prime cofactor 636127581082849288009544257911283842294392338171799034570555669937381934333520507713902400279014330882726882302217666561 has 120 digits

698312489070112379467284205864790148258405476944603168109833877823446154330137760598648721338713006197599105476711882763<120>

70389786600124534180263532517197855066398694553<47>
9920650747773071375652238240073601873189200450427050387625363238274581571<73>

Number: n
N=698312489070112379467284205864790148258405476944603168109833877823446154330137760598648721338713006197599105476711882763  ( 120 digits)
Divisors found:

Sat Oct  8 15:29:07 2022  p47 factor: 70389786600124534180263532517197855066398694553
Sat Oct  8 15:29:07 2022  p73 factor: 9920650747773071375652238240073601873189200450427050387625363238274581571
Sat Oct  8 15:29:07 2022  elapsed time 00:06:26 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# 55x10^162+26 = 61(161)4
# 
# n: 698312489070112379467284205864790148258405476944603168109833877823446154330137760598648721338713006197599105476711882763 
#
# N = 120 digits
#

n: 698312489070112379467284205864790148258405476944603168109833877823446154330137760598648721338713006197599105476711882763

Y0: -278050438755982848325965
Y1: 137466705773687
c0: -20077120008034217689107113776
c1: 18082910198325939554190798
c2: -74888492054378042995
c3: -599989625887668
c4: 357546446
c5: 420

# skew 406706.47, size 1.552e-11, alpha -6.363, combined = 2.815e-10 rroots = 5

skew: 406706.47
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 697088 hash collisions in 5831864 relations (5307087 unique)
Msieve: matrix is 504284 x 504509 (178.9 MB)

Sieving start time : 2022/10/08 14:35:02
Sieving end time  : 2022/10/08 15:22:30

Total sieving time: 0hrs 47min 28secs.

Total relation processing time: 0hrs 4min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 41sec.

Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

5635190709769298794047785065869228826858021101681401218830743115325035169405559893597944137802811412590311461307119370900195720699430361<136>

28329449005783113419059195239557189<35>
198916354095660065870213106793578663167301507608099340187333577032266778917592322721381539399463522949<102>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3636396663
Step 1 took 5891ms
Step 2 took 3265ms
********** Factor found in step 2: 28329449005783113419059195239557189
Found prime factor of 35 digits: 28329449005783113419059195239557189
Prime cofactor 198916354095660065870213106793578663167301507608099340187333577032266778917592322721381539399463522949 has 102 digits
 

GMP-ECM

81421109257623174754599101140740245903550963868250920193910000497596659953933908742256450958391011423190181085967957336821163546614731807289021<143>

32983552122799010137634362663733290367136904525570075605865374957515621<71>
2468536710494045948038530567181501200770440095930398208516593379293025401<73>

Number: n
N=81421109257623174754599101140740245903550963868250920193910000497596659953933908742256450958391011423190181085967957336821163546614731807289021  ( 143 digits)
SNFS difficulty: 165 digits.
Divisors found:

Sun Oct 16 05:43:04 2022  p71 factor: 32983552122799010137634362663733290367136904525570075605865374957515621
Sun Oct 16 05:43:04 2022  p73 factor: 2468536710494045948038530567181501200770440095930398208516593379293025401
Sun Oct 16 05:43:04 2022  elapsed time 00:07:29 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 55x10^164+26 = 61(163)4
#
n: 81421109257623174754599101140740245903550963868250920193910000497596659953933908742256450958391011423190181085967957336821163546614731807289021
m: 500000000000000000000000000000000
deg: 5
c5: 88
c0: 13
skew: 0.68
# Murphy_E = 4.666e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1347736 hash collisions in 13674357 relations (13185995 unique)
Msieve: matrix is 472069 x 472295 (162.7 MB)

Sieving start time : 2022/10/16 05:20:17
Sieving end time  : 2022/10/16 05:35:17

Total sieving time: 0hrs 15min 0secs.

Total relation processing time: 0hrs 3min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 52sec.

Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

6393440561052554086628095896469636190253882466262357143504566569456462114907810251620618856923849368383057741<109>

51886158851434945096632247928984962654126237495193051<53>
123220540941541279184509494354361156149162993434624435191<57>

6393440561052554086628095896469636190253882466262357143504566569456462114907810251620618856923849368383057741=51886158851434945096632247928984962654126237495193051*123220540941541279184509494354361156149162993434624435191

cado polynomial
n: 6393440561052554086628095896469636190253882466262357143504566569456462114907810251620618856923849368383057741
skew: 5593.308
c0: -571661361103794450936792
c1: -100786229507977195526
c2: 179539416167789577
c3: -1270171760239
c4: -17982420
c5: 138240
Y0: -771863760620657068111
Y1: 20071419132052733
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.725e-06
# f(x) = 138240*x^5-17982420*x^4-1270171760239*x^3+179539416167789577*x^2-100786229507977195526*x-571661361103794450936792
# g(x) = 20071419132052733*x-771863760620657068111

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

cado log (extracts)
Info:Square Root: Factors: 51886158851434945096632247928984962654126237495193051 123220540941541279184509494354361156149162993434624435191
Info:Square Root: Total cpu/real time for sqrt: 175.94/50.6874
Info:Filtering - Singleton removal: Total cpu/real time for purge: 62.41/69.6325
Info:Filtering - Merging: Merged matrix has 299162 rows and total weight 46628917 (155.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 46.47/13.8223
Info:Filtering - Merging: Total cpu/real time for replay: 10.25/8.28147
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5175833
Info:Lattice Sieving: Average J: 1888.63 for 83139 special-q, max bucket fill -bkmult 1.0,1s:1.296540
Info:Lattice Sieving: Total time: 8184.66s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 229.83
Info:Polynomial Selection (root optimized): Rootsieve time: 228.84
Info:Linear Algebra: Total cpu/real time for bwc: 1177.42/309.76
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 714.67, WCT time 186.08, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9472 iterations)
Info:Linear Algebra: Lingen CPU time 45.74, WCT time 11.68
Info:Linear Algebra: Mksol: CPU time 392.01,  WCT time 101.93, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4736 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11509/31.940/38.597/46.050/1.040
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8860/31.160/34.217/39.070/0.866
Info:Polynomial Selection (size optimized): Total time: 709.51
Info:Generate Free Relations: Total cpu/real time for freerel: 62.93/16.7291
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 84.08/90.2194
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 64.5s
Info:Square Root: Total cpu/real time for sqrt: 175.94/50.6874
Info:Generate Factor Base: Total cpu/real time for makefb: 2.37/0.658453
Info:Quadratic Characters: Total cpu/real time for characters: 11.38/4.44553
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.79/20.0573
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.299999999999997s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 17178.9/4891.6
Info:root: Cleaning up computation data in /tmp/cado.kim7qbye
51886158851434945096632247928984962654126237495193051 123220540941541279184509494354361156149162993434624435191

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)

5936573135228332885026815460098777645913915929399861764528277243607446918255828219656604307375525899548665242158581801363827886802221422877418641655073<151>

135633116023324752510692989331062302484313514557376923957<57>
43769348587460186800324316237814571870030929392857632232974490501200240913634663100037612729789<95>

Number: n
N=5936573135228332885026815460098777645913915929399861764528277243607446918255828219656604307375525899548665242158581801363827886802221422877418641655073  ( 151 digits)
SNFS difficulty: 168 digits.
Divisors found:

Thu Oct 13 19:13:42 2022  p57 factor: 135633116023324752510692989331062302484313514557376923957
Thu Oct 13 19:13:42 2022  p95 factor: 43769348587460186800324316237814571870030929392857632232974490501200240913634663100037612729789
Thu Oct 13 19:13:42 2022  elapsed time 00:10:35 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 55x10^167+26 = 61(166)4
#
n: 5936573135228332885026815460098777645913915929399861764528277243607446918255828219656604307375525899548665242158581801363827886802221422877418641655073
m: 1000000000000000000000000000000000
deg: 5
c5: 2750
c0: 13
skew: 0.34
# Murphy_E = 2.234e-10
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1884993 hash collisions in 14902680 relations (13860177 unique)
Msieve: matrix is 623946 x 624172 (213.3 MB)

Sieving start time : 2022/10/13 18:21:18
Sieving end time  : 2022/10/13 19:02:47

Total sieving time: 0hrs 41min 29secs.

Total relation processing time: 0hrs 5min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 23sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

8482313838344046690629066999056803774403362355301899814469865405649260357460105618124291200255657857406692602988578814838638978460296848463261751839<148>

173651633526455161606779679360611008429629<42>
39415078388358893845962617140921751822354333992459<50>
1239290353719753583408311642032259838824473780071219794049<58>

Number: n
N=8482313838344046690629066999056803774403362355301899814469865405649260357460105618124291200255657857406692602988578814838638978460296848463261751839  ( 148 digits)
SNFS difficulty: 170 digits.
Divisors found:

Sat Oct 15 03:42:27 2022  found factor: 173651633526455161606779679360611008429629
Sat Oct 15 03:43:22 2022  p42 factor: 173651633526455161606779679360611008429629
Sat Oct 15 03:43:22 2022  p50 factor: 39415078388358893845962617140921751822354333992459
Sat Oct 15 03:43:22 2022  p58 factor: 1239290353719753583408311642032259838824473780071219794049
Sat Oct 15 03:43:22 2022  elapsed time 00:10:15 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 55x10^169+26 = 61(168)4
#
n: 8482313838344046690629066999056803774403362355301899814469865405649260357460105618124291200255657857406692602988578814838638978460296848463261751839
m: 5000000000000000000000000000000000
deg: 5
c5: 88
c0: 13
skew: 0.68
# Murphy_E = 2.964e-10
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2209688 hash collisions in 19648423 relations (18216685 unique)
Msieve: matrix is 559288 x 559514 (187.4 MB)

Sieving start time : 2022/10/15 02:40:55
Sieving end time  : 2022/10/15 03:32:43

Total sieving time: 0hrs 51min 48secs.

Total relation processing time: 0hrs 4min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 22sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

36612483264267447598181012963674834145103846201117112409724020662920058223987175894497519458506951577343100013956117101110305092348288571467<140>

2075555774575604852793797334551320201704413653<46>
17639845535711374675539094455912178947253552303257803331683721746345418412622868669761947163039<95>

Number: n
N=36612483264267447598181012963674834145103846201117112409724020662920058223987175894497519458506951577343100013956117101110305092348288571467  ( 140 digits)
SNFS difficulty: 171 digits.
Divisors found:

Sun Oct 16 11:50:30 2022  p46 factor: 2075555774575604852793797334551320201704413653
Sun Oct 16 11:50:30 2022  p95 factor: 17639845535711374675539094455912178947253552303257803331683721746345418412622868669761947163039
Sun Oct 16 11:50:30 2022  elapsed time 00:13:10 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 55x10^170+26 = 61(169)4
#
n: 36612483264267447598181012963674834145103846201117112409724020662920058223987175894497519458506951577343100013956117101110305092348288571467
m: 10000000000000000000000000000000000
deg: 5
c5: 55
c0: 26
skew: 0.86
# Murphy_E = 1.892e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1647717 hash collisions in 13835451 relations (12982241 unique)
Msieve: matrix is 716747 x 716972 (246.4 MB)

Sieving start time : 2022/10/16 10:16:45
Sieving end time  : 2022/10/16 11:36:50

Total sieving time: 1hrs 20min 5secs.

Total relation processing time: 0hrs 7min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 10sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

20070904343779251767141541200882181257424737840990484331843058901387674059870408588967876882255118117937688247591628381979535146134109783<137>

23472427727402501312230620422025692412979597801694141351<56>
855084296216526559713308888410992551973445746604056073816234442807917740075425233<81>

20070904343779251767141541200882181257424737840990484331843058901387674059870408588967876882255118117937688247591628381979535146134109783=23472427727402501312230620422025692412979597801694141351*855084296216526559713308888410992551973445746604056073816234442807917740075425233

cado polynomial
n: 20070904343779251767141541200882181257424737840990484331843058901387674059870408588967876882255118117937688247591628381979535146134109783
skew: 1.08
type: snfs
c0: 65
c5: 44
Y0: 50000000000000000000000000000000000
Y1: -1
# f(x) = 44*x^5+65
# g(x) = -x+50000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5800000
tasks.lim1 = 5800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 23472427727402501312230620422025692412979597801694141351 855084296216526559713308888410992551973445746604056073816234442807917740075425233
Info:Square Root: Total cpu/real time for sqrt: 143.26/45.4978
Info:Generate Free Relations: Total cpu/real time for freerel: 119.57/31.1272
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 209.94/175.339
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 159.6s
Info:Square Root: Total cpu/real time for sqrt: 143.26/45.4978
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.19/95.6476
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 95.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 159.5/134.513
Info:Filtering - Merging: Merged matrix has 708870 rows and total weight 120948571 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 162.36/44.5724
Info:Filtering - Merging: Total cpu/real time for replay: 23.21/19.6757
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22428366
Info:Lattice Sieving: Average J: 1893 for 743664 special-q, max bucket fill -bkmult 1.0,1s:1.248340
Info:Lattice Sieving: Total time: 126728s
Info:Linear Algebra: Total cpu/real time for bwc: 7690.69/1978.06
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4827.28, WCT time 1235.16, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22272 iterations)
Info:Linear Algebra: Lingen CPU time 122.58, WCT time 31.16
Info:Linear Algebra: Mksol: CPU time 2629.32,  WCT time 671.04, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11264 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 22.53/9.03716
Info:Generate Factor Base: Total cpu/real time for makefb: 2.49/1.47127
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 238797/53796.6
Info:root: Cleaning up computation data in /tmp/cado.sqn3eiq5
23472427727402501312230620422025692412979597801694141351 855084296216526559713308888410992551973445746604056073816234442807917740075425233

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)

1608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134503<175>

8561358337170817083097457435061840782175444280021737161178816057622736803787017<79>
187842521147685640326453609450732301030289507649107250403483336017429116960786015860494185776559<96>

Number: n
N=1608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134503  ( 175 digits)
SNFS difficulty: 176 digits.
Divisors found:

Sat Oct  8 10:19:20 2022  p79 factor: 8561358337170817083097457435061840782175444280021737161178816057622736803787017
Sat Oct  8 10:19:20 2022  p96 factor: 187842521147685640326453609450732301030289507649107250403483336017429116960786015860494185776559
Sat Oct  8 10:19:20 2022  elapsed time 00:20:18 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 55x10^175+26 = 61(174)4
#
n: 1608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134503
m: 100000000000000000000000000000000000
deg: 5
c5: 55
c0: 26
skew: 0.86
# Murphy_E = 1.195e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1483776 hash collisions in 11981523 relations (11155942 unique)
Msieve: matrix is 995046 x 995272 (344.7 MB)

Sieving start time : 2022/10/08 08:58:35
Sieving end time  : 2022/10/08 09:58:43

Total sieving time: 1hrs 0min 8secs.

Total relation processing time: 0hrs 15min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 9sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6200000,6200000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1085891575511383933738870977330159137743393742233104497606536500843900964440427684076023184925381034331996805718633317783328147717<130>

4737234954222327727478547169302076857194989073<46>
229224766346774049483886280143461612919641518752603206487295663483201259620414050229<84>

10/24/22 12:35:22 v1.34.5 @ 3570IB, ****************************
10/24/22 12:35:22 v1.34.5 @ 3570IB, Starting factorization of 1085891575511383933738870977330159137743393742233104497606536500843900964440427684076023184925381034331996805718633317783328147717
10/24/22 12:35:22 v1.34.5 @ 3570IB, using pretesting plan: normal
10/24/22 12:35:22 v1.34.5 @ 3570IB, no tune info: using qs/gnfs crossover of 95 digits
10/24/22 12:35:22 v1.34.5 @ 3570IB, ****************************
10/24/22 17:49:25 v1.34.5 @ 3570IB, final ECM pretested depth: 40.56
10/24/22 17:49:25 v1.34.5 @ 3570IB, scheduler: switching to sieve method
10/24/22 17:49:25 v1.34.5 @ 3570IB, nfs: commencing nfs on c130
10/24/22 17:49:25 v1.34.5 @ 3570IB, nfs: commencing poly selection with 4 threads
10/24/22 17:49:25 v1.34.5 @ 3570IB, nfs: setting deadline of 12705 seconds
10/24/22 21:18:58 v1.34.5 @ 3570IB, nfs: completed 35 ranges of size 250 in 12572.3585 seconds
10/24/22 21:18:58 v1.34.5 @ 3570IB, nfs: best poly = # norm 2.254259e-012 alpha -7.042138 e 8.707e-011 rroots 3
10/24/22 21:18:58 v1.34.5 @ 3570IB, nfs: commencing lattice sieving with 4 threads
10/25/22 17:13:03 v1.34.5 @ 3570IB, nfs: commencing msieve filtering
10/25/22 17:17:25 v1.34.5 @ 3570IB, nfs: commencing msieve linear algebra
10/25/22 18:05:02 v1.34.5 @ 3570IB, nfs: commencing msieve sqrt
10/25/22 18:08:09 v1.34.5 @ 3570IB, prp46 = 4737234954222327727478547169302076857194989073
10/25/22 18:08:09 v1.34.5 @ 3570IB, prp84 = 229224766346774049483886280143461612919641518752603206487295663483201259620414050229
10/25/22 18:08:09 v1.34.5 @ 3570IB, NFS elapsed time = 87523.8527 seconds.
10/25/22 18:08:09 v1.34.5 @ 3570IB, Total factoring time = 106367.5890 seconds

YAFU v1.34

Windows 7 Professional SP!, Intel i5-3570.

309553387572468494839925329381778286854541986913650727757358833914834733915712497085315500883572972829115661607915909699137983492551665776744740913479832289992286065031<168>

1911928499204263817870840277231621710873484360750137445445043130853180214631901<79>
161906361927918980831589423566354689903109935847939269568450534195083125027648540805886131<90>

Number: n
N=309553387572468494839925329381778286854541986913650727757358833914834733915712497085315500883572972829115661607915909699137983492551665776744740913479832289992286065031  ( 168 digits)
SNFS difficulty: 180 digits.
Divisors found:

Sat Oct  8 18:53:44 2022  p79 factor: 1911928499204263817870840277231621710873484360750137445445043130853180214631901
Sat Oct  8 18:53:44 2022  p90 factor: 161906361927918980831589423566354689903109935847939269568450534195083125027648540805886131
Sat Oct  8 18:53:44 2022  elapsed time 00:20:46 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 55x10^178+26 = 61(177)4
#
n: 309553387572468494839925329381778286854541986913650727757358833914834733915712497085315500883572972829115661607915909699137983492551665776744740913479832289992286065031
m: 500000000000000000000000000000000000
deg: 5
c5: 44
c0: 65
skew: 1.08
# Murphy_E = 1.009e-10
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 970115 hash collisions in 11526474 relations (11297415 unique)
Msieve: matrix is 1004227 x 1004452 (352.5 MB)

Sieving start time : 2022/10/08 16:58:09
Sieving end time  : 2022/10/08 18:32:40

Total sieving time: 1hrs 34min 31secs.

Total relation processing time: 0hrs 16min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 11sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7000000,7000000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

13137256494589658524661110079522044411697228187299812801401860719367532695103449826998910178353099520681077322282787649125848979864189250525374494124097531070374579641957<170>

2209980315545398915429367570626365866641<40>
5944512900037993160235232271155284738795705516479172469079525714637208287752390837364518322917489481924157543874008687401284886677<130>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 13137256494589658524661110079522044411697228187299812801401860719367532695103449826998910178353099520681077322282787649125848979864189250525374494124097531070374579641957 (170 digits)
Using B1=15900000, B2=58558142380, polynomial Dickson(12), sigma=1:787354336
Step 1 took 36946ms
********** Factor found in step 1: 2209980315545398915429367570626365866641
Found prime factor of 40 digits: 2209980315545398915429367570626365866641
Prime cofactor 5944512900037993160235232271155284738795705516479172469079525714637208287752390837364518322917489481924157543874008687401284886677 has 130 digits

396498067710661593641618893144573171297845374323724198136988430442346338267429263085644418668486319900318609170124632373475764443792112607617769<144>

8506306650373420140039963791646729440269763<43>
46612247125285054447516014302232257681475447297517110667237280782802747406392384744158264127252372963<101>

Number: n
N=396498067710661593641618893144573171297845374323724198136988430442346338267429263085644418668486319900318609170124632373475764443792112607617769  ( 144 digits)
SNFS difficulty: 186 digits.
Divisors found:

Sun Oct 16 00:32:03 2022  p43 factor: 8506306650373420140039963791646729440269763
Sun Oct 16 00:32:03 2022  p101 factor: 46612247125285054447516014302232257681475447297517110667237280782802747406392384744158264127252372963
Sun Oct 16 00:32:03 2022  elapsed time 00:43:35 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 55x10^185+26 = 61(184)4
#
n: 396498067710661593641618893144573171297845374323724198136988430442346338267429263085644418668486319900318609170124632373475764443792112607617769
m: 10000000000000000000000000000000000000
deg: 5
c5: 55
c0: 26
skew: 0.86
# Murphy_E = 4.702e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 10150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1314560 hash collisions in 12494921 relations (11932457 unique)
Msieve: matrix is 1384928 x 1385153 (482.7 MB)

Sieving start time : 2022/10/15 20:47:03
Sieving end time  : 2022/10/15 23:48:10

Total sieving time: 3hrs 1min 7secs.

Total relation processing time: 0hrs 34min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 45sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9100000,9100000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

51635708377563788976354450263143595113861109587584983549639658477788810751985178627106984598532397529083543820199418481667401713433709472116771976197499879232485337033226379403<176>

1575740564163869810003162008825298925423013<43>
6573189627508500813420860911904804478943429<43>
4985276640247040627848741980159786082126549298794915658606221060533349195215422794911672739<91>

Number: n
N=51635708377563788976354450263143595113861109587584983549639658477788810751985178627106984598532397529083543820199418481667401713433709472116771976197499879232485337033226379403  ( 176 digits)
SNFS difficulty: 187 digits.
Divisors found:

Mon Oct 10 19:44:40 2022  found factor: 6573189627508500813420860911904804478943429
Mon Oct 10 19:46:48 2022  p43 factor: 1575740564163869810003162008825298925423013
Mon Oct 10 19:46:48 2022  p43 factor: 6573189627508500813420860911904804478943429
Mon Oct 10 19:46:48 2022  p91 factor: 4985276640247040627848741980159786082126549298794915658606221060533349195215422794911672739
Mon Oct 10 19:46:48 2022  elapsed time 00:44:33 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 55x10^186+26 = 61(185)4
#
n: 51635708377563788976354450263143595113861109587584983549639658477788810751985178627106984598532397529083543820199418481667401713433709472116771976197499879232485337033226379403
m: 10000000000000000000000000000000000000
deg: 5
c5: 275
c0: 13
skew: 0.54
# Murphy_E = 4.75e-11
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 10250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1297151 hash collisions in 12374987 relations (11823149 unique)
Msieve: matrix is 1436067 x 1436292 (500.3 MB)

Sieving start time : 2022/10/10 15:59:13
Sieving end time  : 2022/10/10 19:01:42

Total sieving time: 3hrs 2min 29secs.

Total relation processing time: 0hrs 36min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 12sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9300000,9300000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

76482580049449464482880417400204138959113803297928851732260908501803598296802471916987198206692086695090374597771158558122589060487986672562778292296952655892357026246040288241985320907<185>

1677139573711499471883989828532555411497751393441892087105503653004591315763042947421183<88>
45602990501377288069524236557644431308757102303566080291579383068493645427306309518082238531890229<98>

Number: n
N=76482580049449464482880417400204138959113803297928851732260908501803598296802471916987198206692086695090374597771158558122589060487986672562778292296952655892357026246040288241985320907  ( 185 digits)
SNFS difficulty: 190 digits.
Divisors found:

Tue Oct 18 06:35:13 2022  p88 factor: 1677139573711499471883989828532555411497751393441892087105503653004591315763042947421183
Tue Oct 18 06:35:13 2022  p98 factor: 45602990501377288069524236557644431308757102303566080291579383068493645427306309518082238531890229
Tue Oct 18 06:35:13 2022  elapsed time 00:52:21 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.357).
Factorization parameters were as follows:
#
# N = 55x10^189+26 = 61(188)4
#
n: 76482580049449464482880417400204138959113803297928851732260908501803598296802471916987198206692086695090374597771158558122589060487986672562778292296952655892357026246040288241985320907
m: 50000000000000000000000000000000000000
deg: 5
c5: 88
c0: 13
skew: 0.68
# Murphy_E = 4.61e-11
type: snfs
lss: 1
rlim: 10400000
alim: 10400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 10400000/10400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 18000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1164980 hash collisions in 12741211 relations (12008574 unique)
Msieve: matrix is 1497482 x 1497708 (523.8 MB)

Sieving start time : 2022/10/18 00:42:45
Sieving end time  : 2022/10/18 05:28:52

Total sieving time: 4hrs 46min 7secs.

Total relation processing time: 0hrs 42min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 10sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10400000,10400000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1926410122398152093372239273329897686767647007793903124936371307327065319739611134442428889891809531340903351151284447128748019275191811567788107463<148>

6447527754297063736864498009960255223<37>

298782757641370917761638220153441200930356896115089521322505759496862136834673544835864753111538057027006472881<111>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:804248739
Step 1 took 3562ms
Step 2 took 2594ms
********** Factor found in step 2: 6447527754297063736864498009960255223
Found prime factor of 37 digits: 6447527754297063736864498009960255223
Composite cofactor 298782757641370917761638220153441200930356896115089521322505759496862136834673544835864753111538057027006472881 has 111 digits

GMP-ECM

298782757641370917761638220153441200930356896115089521322505759496862136834673544835864753111538057027006472881<111>

492308144642450821564563693346326117859094333<45>
606901918834530353406633961069988653454853644488796090721266612357<66>

10/14/22 16:59:48, nfs: commencing nfs on c111: 298782757641370917761638220153441200930356896115089521322505759496862136834673544835864753111538057027006472881
10/14/22 16:59:48, nfs: commencing poly selection with 46 threads
10/14/22 16:59:48, nfs: setting deadline of 86 seconds
10/14/22 16:59:48, nfs: expecting degree 5 poly E from 8.54e-10 to > 9.82e-10
10/14/22 16:59:48, nfs: searching for avg quality poly E > 8.85e-10
10/14/22 17:01:29, nfs: completed 63 ranges of size 250 in 101.2671 seconds
10/14/22 17:01:29, nfs: best poly = # norm 1.572929e-10 alpha -6.084281 e 8.908e-10 rroots 5
10/14/22 17:01:29, nfs: commencing lattice sieving with 46 threads
10/14/22 17:02:37, nfs: commencing lattice sieving with 46 threads
10/14/22 17:03:42, nfs: commencing lattice sieving with 46 threads
10/14/22 17:04:49, nfs: commencing lattice sieving with 46 threads
10/14/22 17:05:53, nfs: commencing lattice sieving with 46 threads
10/14/22 17:07:03, nfs: commencing lattice sieving with 46 threads
10/14/22 17:08:09, nfs: commencing lattice sieving with 46 threads
10/14/22 17:09:14, nfs: commencing lattice sieving with 46 threads
10/14/22 17:10:20, nfs: commencing lattice sieving with 46 threads
10/14/22 17:11:27, nfs: commencing lattice sieving with 46 threads
10/14/22 17:12:43, nfs: commencing lattice sieving with 46 threads
10/14/22 17:13:48, nfs: commencing lattice sieving with 46 threads
10/14/22 17:15:00, nfs: commencing lattice sieving with 46 threads
10/14/22 17:16:20, nfs: commencing lattice sieving with 46 threads
10/14/22 17:17:32, nfs: commencing lattice sieving with 46 threads
10/14/22 17:18:39, nfs: commencing msieve filtering
10/14/22 17:19:30, nfs: raising min_rels by 5.00 percent to 4860970
10/14/22 17:19:30, nfs: commencing lattice sieving with 46 threads
10/14/22 17:20:46, nfs: commencing msieve filtering
10/14/22 17:21:41, nfs: raising min_rels by 5.00 percent to 5185780
10/14/22 17:21:41, nfs: commencing lattice sieving with 46 threads
10/14/22 17:22:55, nfs: commencing msieve filtering
10/14/22 17:23:54, nfs: raising min_rels by 5.00 percent to 5506079
10/14/22 17:23:54, nfs: commencing lattice sieving with 46 threads
10/14/22 17:25:06, nfs: commencing msieve filtering
10/14/22 17:26:28, nfs: raising min_rels by 5.00 percent to 5834331
10/14/22 17:26:28, nfs: commencing lattice sieving with 46 threads
10/14/22 17:27:40, nfs: commencing msieve filtering
10/14/22 17:29:06, nfs: commencing msieve linear algebra
10/14/22 17:31:44, nfs: commencing msieve sqrt
10/14/22 17:32:16, prp45 = 492308144642450821564563693346326117859094333
10/14/22 17:32:16, prp66 = 606901918834530353406633961069988653454853644488796090721266612357
10/14/22 17:32:16, NFS elapsed time = 1948.3604 seconds.
10/14/22 17:32:16, 
10/14/22 17:32:16, 

Yafu

22718918034236727420927820599022226287210661882515853900512887928308385029491273488533621572559396077931489844680721099370418370335034562885156606508221855627<158>

1424071435837365010914285664021286493834777752683220742962737011667625517983<76>
15953496055398251859730793730895575555162906035203098377537758281790870275335275669<83>

Number: n
N=22718918034236727420927820599022226287210661882515853900512887928308385029491273488533621572559396077931489844680721099370418370335034562885156606508221855627  ( 158 digits)
SNFS difficulty: 193 digits.
Divisors found:

Mon Oct 24 16:44:33 2022  p76 factor: 1424071435837365010914285664021286493834777752683220742962737011667625517983
Mon Oct 24 16:44:33 2022  p83 factor: 15953496055398251859730793730895575555162906035203098377537758281790870275335275669
Mon Oct 24 16:44:33 2022  elapsed time 01:11:09 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.841).
Factorization parameters were as follows:
#
# N = 55x10^192+26 = 61(191)4
#
n: 22718918034236727420927820599022226287210661882515853900512887928308385029491273488533621572559396077931489844680721099370418370335034562885156606508221855627
m: 100000000000000000000000000000000000000
deg: 5
c5: 2750
c0: 13
skew: 0.34
# Murphy_E = 2.185e-11
type: snfs
lss: 1
rlim: 11700000
alim: 11700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11700000/11700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 25850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1897022 hash collisions in 13864579 relations (12688981 unique)
Msieve: matrix is 1818028 x 1818253 (633.5 MB)

Sieving start time : 2022/10/24 09:02:06
Sieving end time  : 2022/10/24 15:33:06

Total sieving time: 6hrs 31min 0secs.

Total relation processing time: 1hrs 3min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 43sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11700000,11700000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

662136808749386865386338131727874030698096901840116369252211854838259607828803890673204359729258736762367593411586136565558949706920090532865850637<147>

7464444725893544930302509128102660822964001<43>
88705433969185775512978723585115328503910285007740834049982578952946420671950786064881014237434789782637<104>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 662136808749386865386338131727874030698096901840116369252211854838259607828803890673204359729258736762367593411586136565558949706920090532865850637 (147 digits)
Using B1=17120000, B2=58559441860, polynomial Dickson(12), sigma=1:1520188853
Step 1 took 34661ms
Step 2 took 15347ms
********** Factor found in step 2: 7464444725893544930302509128102660822964001
Found prime factor of 43 digits: 7464444725893544930302509128102660822964001
Prime cofactor 88705433969185775512978723585115328503910285007740834049982578952946420671950786064881014237434789782637 has 104 digits

541170059619504177670814837961077086170827162733302715351051924970650295673537296642057744219169235692040547754755950735473875681<129>

3572479586263032934472873823163449579970008650003<49>
151483037635938264465304409793926609123449206129191637101600015237190646586775227<81>

Number: 61114_194
N = 541170059619504177670814837961077086170827162733302715351051924970650295673537296642057744219169235692040547754755950735473875681 (129 digits)
Divisors found:
r1=3572479586263032934472873823163449579970008650003 (pp49)
r2=151483037635938264465304409793926609123449206129191637101600015237190646586775227 (pp81)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 10.03 hours.
Factorization parameters were as follows:
n: 541170059619504177670814837961077086170827162733302715351051924970650295673537296642057744219169235692040547754755950735473875681
# norm 2.035032e-12 alpha -7.786563 e 8.108e-11 rroots 1
skew: 1530064.72
c0: 2412638295534008889189393270618360
c1: -926263139374482643137668274
c2: -3305087594270190502673
c3: 14638032177650917
c4: -832719813
c5: 756
Y0: -14823900477058154929162937
Y1: 15104099487257
type: gnfs
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19959528
Relations: 2352630 relations
Pruned matrix : 1336882 x 1337109
Polynomial selection time: 0.12 hours.
Total sieving time: 9.01 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.66 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,6800000,6800000,28,28,55,55,2.5,2.5,100000
total time: 10.03 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

69570729436376216715987953154502960115541571374077770565368542460263881875384097808313034630269554888568638943764241657294342494832168668763238617190065253873958643888236209<173>

59724044704007027270539808828165761051<38>

1164869689940951907796179571674460023759754074772295285900458159778675214734230643328037992158620338591274447228643438021787740995924259<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:197176640
Step 1 took 6032ms
Step 2 took 3375ms
********** Factor found in step 2: 59724044704007027270539808828165761051
Found prime factor of 38 digits: 59724044704007027270539808828165761051
Composite cofactor 1164869689940951907796179571674460023759754074772295285900458159778675214734230643328037992158620338591274447228643438021787740995924259 has 136 digits

GMP-ECM

1164869689940951907796179571674460023759754074772295285900458159778675214734230643328037992158620338591274447228643438021787740995924259<136>

450101198052295483378063062942819635047858751719<48>
2588017305845096399401758052395503735413678794340904353536469263196952440461471430402661<88>

1164869689940951907796179571674460023759754074772295285900458159778675214734230643328037992158620338591274447228643438021787740995924259=450101198052295483378063062942819635047858751719*2588017305845096399401758052395503735413678794340904353536469263196952440461471430402661

cado polynomial
n: 1164869689940951907796179571674460023759754074772295285900458159778675214734230643328037992158620338591274447228643438021787740995924259
skew: 414172.697
c0: 33008413441220192932029990295040
c1: 972833541900218496109317788
c2: -3623754915061195325139
c3: -11004128963014587
c4: 4916875218
c5: 11880
Y0: -180579802858641139262429359
Y1: 10742798165298343201
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.264e-07
# f(x) = 11880*x^5+4916875218*x^4-11004128963014587*x^3-3623754915061195325139*x^2+972833541900218496109317788*x+33008413441220192932029990295040
# g(x) = 10742798165298343201*x-180579802858641139262429359

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2588017305845096399401758052395503735413678794340904353536469263196952440461471430402661 450101198052295483378063062942819635047858751719
Info:Square Root: Total cpu/real time for sqrt: 819.76/240.949
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 191.9/159.451
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 148.8s
Info:Generate Free Relations: Total cpu/real time for freerel: 250.8/63.5161
Info:Square Root: Total cpu/real time for sqrt: 819.76/240.949
Info:Generate Factor Base: Total cpu/real time for makefb: 14.62/4.03207
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 77.14/82.4735
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 82.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 90.17/98.8026
Info:Filtering - Merging: Merged matrix has 1310262 rows and total weight 222814783 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 336.16/93.2147
Info:Filtering - Merging: Total cpu/real time for replay: 47.89/40.9075
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17016731
Info:Lattice Sieving: Average J: 3813.88 for 620636 special-q, max bucket fill -bkmult 1.0,1s:1.207210
Info:Lattice Sieving: Total time: 209353s
Info:Linear Algebra: Total cpu/real time for bwc: 26909.1/6933.78
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 17095.14, WCT time 4367.83, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40960 iterations)
Info:Linear Algebra: Lingen CPU time 256.27, WCT time 65.06
Info:Linear Algebra: Mksol: CPU time 9332.5,  WCT time 2418.88, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20480 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7297.97
Info:Polynomial Selection (root optimized): Rootsieve time: 7295.45
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54504/40.270/48.537/52.800/0.960
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44437/38.650/43.416/49.310/1.124
Info:Polynomial Selection (size optimized): Total time: 11397.9
Info:Quadratic Characters: Total cpu/real time for characters: 44.36/20.6331
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 438921/117978
Info:root: Cleaning up computation data in /tmp/cado.l079o1ql
2588017305845096399401758052395503735413678794340904353536469263196952440461471430402661 450101198052295483378063062942819635047858751719

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)

5850397662556591711124820839387183627221493638268997607028203923759132467799459291734785481990032879224013739653038842319758597324394207885581756291943539307562857229497550930027824989737<187>

3388229065097604725152362571009072759766145703<46>
1726683040064193324418610227673177436338126881640988354609857170580765011757156954415926096969414826742876780326108911924210850076203701666479<142>

Number: n
N=5850397662556591711124820839387183627221493638268997607028203923759132467799459291734785481990032879224013739653038842319758597324394207885581756291943539307562857229497550930027824989737  ( 187 digits)
SNFS difficulty: 197 digits.
Divisors found:

Wed Oct 26 06:07:03 2022  p46 factor: 3388229065097604725152362571009072759766145703
Wed Oct 26 06:07:03 2022  p142 factor: 1726683040064193324418610227673177436338126881640988354609857170580765011757156954415926096969414826742876780326108911924210850076203701666479
Wed Oct 26 06:07:03 2022  elapsed time 01:15:29 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 55x10^196+26 = 61(195)4
#
n: 5850397662556591711124820839387183627221493638268997607028203923759132467799459291734785481990032879224013739653038842319758597324394207885581756291943539307562857229497550930027824989737
m: 1000000000000000000000000000000000000000
deg: 5
c5: 275
c0: 13
skew: 0.54
# Murphy_E = 1.836e-11
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 19708459)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2028535 hash collisions in 14410609 relations (13121055 unique)
Msieve: matrix is 1892259 x 1892485 (655.2 MB)

Sieving start time : 2022/10/25 22:54:48
Sieving end time  : 2022/10/26 04:51:13

Total sieving time: 5hrs 56min 25secs.

Total relation processing time: 1hrs 8min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 35sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13700000,13700000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

953414580844059834810678027775073509493303587472321862501403889145061676684580329129099967061549747734661981<108>

41488108589744689997116426367452863863<38>
22980430134135622413884786737947254347710060768160635301182486704669387<71>

10/06/22 10:14:06, nfs: commencing nfs on c108: 953414580844059834810678027775073509493303587472321862501403889145061676684580329129099967061549747734661981
10/06/22 10:14:06, nfs: commencing poly selection with 46 threads
10/06/22 10:14:06, nfs: setting deadline of 64 seconds
10/06/22 10:14:06, nfs: expecting degree 4 poly E from 3.14e-09 to > 3.62e-09
10/06/22 10:14:06, nfs: searching for avg quality poly E > 3.26e-09
10/06/22 10:15:08, nfs: completed 104 ranges of size 250 in 61.3384 seconds
10/06/22 10:15:08, nfs: best poly = # norm 7.296697e-15 alpha -6.515189 e 3.387e-09 rroots 2
10/06/22 10:15:08, nfs: commencing lattice sieving with 46 threads
10/06/22 10:16:18, nfs: commencing lattice sieving with 46 threads
10/06/22 10:17:24, nfs: commencing lattice sieving with 46 threads
10/06/22 10:18:29, nfs: commencing lattice sieving with 46 threads
10/06/22 10:19:35, nfs: commencing lattice sieving with 46 threads
10/06/22 10:20:41, nfs: commencing lattice sieving with 46 threads
10/06/22 10:21:49, nfs: commencing lattice sieving with 46 threads
10/06/22 10:22:58, nfs: commencing lattice sieving with 46 threads
10/06/22 10:24:08, nfs: commencing lattice sieving with 46 threads
10/06/22 10:25:23, nfs: commencing lattice sieving with 46 threads
10/06/22 10:26:35, nfs: commencing lattice sieving with 46 threads
10/06/22 10:27:51, nfs: commencing msieve filtering
10/06/22 10:28:39, nfs: raising min_rels by 5.00 percent to 4823095
10/06/22 10:28:39, nfs: commencing lattice sieving with 46 threads
10/06/22 10:29:51, nfs: commencing msieve filtering
10/06/22 10:30:44, nfs: raising min_rels by 5.00 percent to 5278929
10/06/22 10:30:44, nfs: commencing lattice sieving with 46 threads
10/06/22 10:32:00, nfs: commencing msieve filtering
10/06/22 10:33:15, nfs: raising min_rels by 5.00 percent to 5727373
10/06/22 10:33:15, nfs: commencing lattice sieving with 46 threads
10/06/22 10:34:24, nfs: commencing msieve filtering
10/06/22 10:35:39, nfs: commencing msieve linear algebra
10/06/22 10:38:05, nfs: commencing msieve sqrt
10/06/22 10:38:31, prp38 = 41488108589744689997116426367452863863
10/06/22 10:38:31, prp71 = 22980430134135622413884786737947254347710060768160635301182486704669387
10/06/22 10:38:31, NFS elapsed time = 1464.6541 seconds.
10/06/22 10:38:31, 
10/06/22 10:38:31, 

Yafu

986353139428685992312520616459340968531273430874234923793756940842083808868228112842640829817423492933452992678785693434011880202923924006031277754906944668412175892911<168>

1136791331892633920047327130725720255942867<43>

867664198130817288797822869943229556432161921623400147591600515812559402241788541783191951820855245400766943210330584395194933<126>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3591113276
Step 1 took 3781ms
********** Factor found in step 2: 1136791331892633920047327130725720255942867
Found prime factor of 43 digits: 1136791331892633920047327130725720255942867
Composite cofactor 867664198130817288797822869943229556432161921623400147591600515812559402241788541783191951820855245400766943210330584395194933 has 126 digits
 

GMP-ECM

867664198130817288797822869943229556432161921623400147591600515812559402241788541783191951820855245400766943210330584395194933<126>

2821630088941214245327211358012310170467441242661<49>
307504588050518970090171026628422220374631962736781927884481697615785317599953<78>

#
# N = 55x10^203+26 = 61(202)4
#
# N = 55×10203+26 = 6(1)2024
# N = 2 × 7 × 605525917544861<15> × 73084785511404091681<20> × 1136791331892633920047327130725720255942867<43> ×
# [867664198130817288797822869943229556432161921623400147591600515812559402241788541783191951820855245400766943210330584395194933<126>]
# (Ignacio Santos / GMP-ECM B1=3000000 for P43 / September 27, 2023 )
#

CADO:

STA:Sun 01 Oct 2023 16:24:30 AEDT (867664198130817288797822869943229556432161921623400147591600515812559402241788541783191951820855245400766943210330584395194933 - C126)

cado-nfs.py -t 16 --no-colors 867664198130817288797822869943229556432161921623400147591600515812559402241788541783191951820855245400766943210330584395194933 2>&1 | tee -a log-12

Info:root: Using default parameter file ./parameters/factor/params.c125
Info:root: No database exists yet 
Info:root: Created temporary directory /tmp/cado.wegaly81
Info:Database: Opened connection to database /tmp/cado.wegaly81/c125.db
Info:root: Set tasks.threads=16 based on --server-threads 16
Info:root: tasks.threads = 16 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 16 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Math/cado-nfs/build/LINUX-7
Info:root: Command line parameters: ./cado-nfs.py -t 16 --no-colors 867664198130817288797822869943229556432161921623400147591600515812559402241788541783191951820855245400766943210330584395194933
Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.wegaly81/c125.parameters_snapshot.0
Info:Server Launcher: Adding LINUX-7 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,LINUX-7
Info:Lattice Sieving: param rels_wanted is 0
Info:Complete Factorization / Discrete logarithm: Factoring 867664198130817288797822869943229556432161921623400147591600515812559402241788541783191951820855245400766943210330584395194933
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 867664198130817288797822869943229556432161921623400147591600515812559402241788541783191951820855245400766943210330584395194933
skew: 536011.861
c0: 36330653079615209039087209242675
c1: 216093629220159813382153291
c2: -1449152034175855368251
c3: -1417609012354547
c4: 1376826240
c5: 1440
Y0: -4478455450754029564689564
Y1: 15930412224107737
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.361e-07
# f(x) = 1440*x^5+1376826240*x^4-1417609012354547*x^3-1449152034175855368251*x^2+216093629220159813382153291*x+36330653079615209039087209242675
# g(x) = 15930412224107737*x-4478455450754029564689564
===
Info:Square Root: Factors: 2821630088941214245327211358012310170467441242661 307504588050518970090171026628422220374631962736781927884481697615785317599953
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1386.4/102.457
Info:HTTP server: Got notification to stop serving Workunits
Info:Quadratic Characters: Total cpu/real time for characters: 31.13/7.17672
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11971702
Info:Lattice Sieving: Average J: 3909.36 for 214574 special-q, max bucket fill -bkmult 1.0,1s:1.313790
Info:Lattice Sieving: Total time: 72347.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 128.53/103.499
Info:Generate Free Relations: Total cpu/real time for freerel: 150.96/11.7426
Info:Filtering - Merging: Total cpu/real time for merge: 293.17/25.597
Info:Filtering - Merging: Total cpu/real time for replay: 25.19/19.7668
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 216.88/163.673
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 122.80000000000001s
Info:Linear Algebra: Total cpu/real time for bwc: 14431.4/1035.75
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 9272.95, WCT time 625.08, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24832 iterations)
Info:Linear Algebra: Lingen CPU time 55.71, WCT time 57.07
Info:Linear Algebra: Mksol: CPU time 4904.53,  WCT time 330.3, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2150.2
Info:Polynomial Selection (root optimized): Rootsieve time: 2148.17
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21547.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 14490/37.140/44.881/49.010/0.872
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11492/36.620/40.164/45.680/0.900
Info:Polynomial Selection (size optimized): Total time: 2045.42
Info:Square Root: Total cpu/real time for sqrt: 1386.4/102.457
Info:Generate Factor Base: Total cpu/real time for makefb: 13.19/1.48984
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 67.83/59.4606
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 59.0s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 157096/10761.5 [02:59:21]
Info:root: Cleaning up computation data in /tmp/cado.wegaly81
2821630088941214245327211358012310170467441242661 307504588050518970090171026628422220374631962736781927884481697615785317599953

END:Sun 01 Oct 2023 19:23:57 AEDT (867664198130817288797822869943229556432161921623400147591600515812559402241788541783191951820855245400766943210330584395194933 - C126)

1662575234349999817885475187153289893247094670971212756323698409399221934554554088343928185294390990117495122942191189952307618341692989055854460985994100566553350321678553521912391<181>

1055623838344836314840139476100478819700366887396198952164477010775585365491<76>
1574969391518130132381821381970420042597605848499254458099330903309366667088253214326621803001115421655901<106>

Number: n
N=1662575234349999817885475187153289893247094670971212756323698409399221934554554088343928185294390990117495122942191189952307618341692989055854460985994100566553350321678553521912391  ( 181 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sat Oct 14 18:56:47 2023  prp76 factor: 1055623838344836314840139476100478819700366887396198952164477010775585365491
Sat Oct 14 18:56:47 2023  prp106 factor: 1574969391518130132381821381970420042597605848499254458099330903309366667088253214326621803001115421655901
Sat Oct 14 18:56:47 2023  elapsed time 02:20:46 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.080).
Factorization parameters were as follows:
#
# N = 55x10^204+26 = 61(203)4
#
n: 1662575234349999817885475187153289893247094670971212756323698409399221934554554088343928185294390990117495122942191189952307618341692989055854460985994100566553350321678553521912391
m: 50000000000000000000000000000000000000000
deg: 5
c5: 88
c0: 13
skew: 0.68
# Murphy_E = 1.092e-11
type: snfs
lss: 1
rlim: 18600000
alim: 18600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18600000/18600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3162527 hash collisions in 19387357 relations (16716787 unique)
Msieve: matrix is 2120636 x 2120861 (599.8 MB)

Sieving start time: 2023/10/14 01:11:39
Sieving end time  : 2023/10/14 16:35:36

Total sieving time: 15hrs 23min 57secs.

Total relation processing time: 2hrs 13min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 23sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18600000,18600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

44623646508417323304015739406623373365442892483235998222670396671719216983192433646089677288552196041600773291862731760798689283527666652734686137550216917489945955610747675486043650921397<188>

16455081415272776965145676404625139111<38>

2711845987404225443367648909846710039501767416140994778500313923531101086187760258915297908734423930456251089525035588841132277987028047756941923311427<151>

GPU: factor 16455081415272776965145676404625139111 found in Step 1 with curve 553 (-sigma 3:1139104811)
Computing 1792 Step 1 took 304ms of CPU time / 178472ms of GPU time
Throughput: 10.041 curves per second (on average 99.59ms per Step 1)
********** Factor found in step 1: 16455081415272776965145676404625139111
Found prime factor of 38 digits: 16455081415272776965145676404625139111
Composite cofactor 2711845987404225443367648909846710039501767416140994778500313923531101086187760258915297908734423930456251089525035588841132277987028047756941923311427 has 151 digits
Peak memory usage: 9467MB

99646211757907385887294291312823531967122716260525666042191392981249016312040300369017603584945302628301088490212641887477219327853946363318507977562451731847756627502108896312076911008299<188>

176644136716463006932148655701276663184638423955790875948751416676936300872903518581995716445472041023815379918651247748602693572925610633818933443306393724589148681678141389806514709959192468226513<198>

80920483134578850194550193887786737501161463855112527461364370301276356990661711316854946657234853651155649110180911695940991394872066295944204010970507164056361194901071130302732009<182>

159615733584097207026124580830393<33>

506970593171155268753492703664776870770874271255698242828244363674922042447961964282155091196364628887755057107893807928842699016589207432802711483313<150>

GPU: factor 159615733584097207026124580830393 found in Step 1 with curve 757 (-sigma 3:-104362107)
Computing 1792 Step 1 took 306ms of CPU time / 178628ms of GPU time
Throughput: 10.032 curves per second (on average 99.68ms per Step 1)
********** Factor found in step 1: 159615733584097207026124580830393
Found prime factor of 33 digits: 159615733584097207026124580830393
Composite cofactor 506970593171155268753492703664776870770874271255698242828244363674922042447961964282155091196364628887755057107893807928842699016589207432802711483313 has 150 digits
Peak memory usage: 9467MB

64381847681540550076385845843504728724617575851277346292956673882681753149566281253797798341647739318802905970327030037204289852357775228455677448782187629141241264382665989069071<179>

849788179171946481742434251129753<33>
75762230235157814708187629962575063279916645523710346215340514333131086486058687807966473227712830766196124903327786641916341257614263395458853607<146>

GPU: factor 849788179171946481742434251129753 found in Step 1 with curve 1211 (-sigma 3:574712636)
Computing 1792 Step 1 took 309ms of CPU time / 178400ms of GPU time
Throughput: 10.045 curves per second (on average 99.55ms per Step 1)
********** Factor found in step 1: 849788179171946481742434251129753
Found prime factor of 33 digits: 849788179171946481742434251129753
Prime cofactor 75762230235157814708187629962575063279916645523710346215340514333131086486058687807966473227712830766196124903327786641916341257614263395458853607 has 146 digits
Peak memory usage: 9467MB

361291952319534909553998087259030316354807407546984031288036347745760058064473515612573120512386712653391058714165667623786709866468914556125713673650470518919696706734985498395318488288596113427<195>

1248200524509681725117443803433298353370292685194955197630855197864863108512597638158699838542089904273533963161171559139589378033576969983624170804511473971694119<163>

45386390159832926546224687864078456889597960197156288714568067905760054520928689859155450325720094070078347539744209201114663800304644587598936579065983336219<158>

106076195094550065900560643909859138455166936371559280081535866857691722411955996149119499687796023194223045169453657147356783254314005854099658732168021524805632404046595493908564769996573518406233909<201>

25067833390964033290813591868342278543<38>
4231566144555051842273707320609768036862785270439461840289737984048515346268296417146800282441553586523576283269623088848944079100306006086756835707543828449779963<163>

Resuming ECM residue saved by @9843dd2cbf7c with GMP-ECM 7.0.5-dev on Sun Oct 23 01:09:46 2022 
Input number is 106076195094550065900560643909859138455166936371559280081535866857691722411955996149119499687796023194223045169453657147356783254314005854099658732168021524805632404046595493908564769996573518406233909 (201 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1850542376
Step 1 took 0ms
Step 2 took 3124ms
********** Factor found in step 2: 25067833390964033290813591868342278543
Found prime factor of 38 digits: 25067833390964033290813591868342278543
Prime cofactor 4231566144555051842273707320609768036862785270439461840289737984048515346268296417146800282441553586523576283269623088848944079100306006086756835707543828449779963 has 163 digits

141088588241933580623149815558736461908646421736877478669970704878586856700168793256478531447363695597522997439883435173641573419936074043291109366743111029023205224895209657642127513300806000625920282382396248582701<216>

217791028835182408082692859996316957282767144778192659511175462078716506841666951652567826160801014168029933869399383352142428806916865342122406615321102871997055987463072349482790203<183>

120874934686150508880335435726426221<36>
205344500681276989890662449124801782387<39>
8774465233635256886980285837097487802477152953635048308572250550772323024650178609035313853359047879572064989<109>

Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3790089111
Resuming ECM residue saved by @53b16d7aec7e with GMP-ECM 7.0.5-dev on Sun Feb 11 14:24:48 2024 
Input number is 217791028835182408082692859996316957282767144778192659511175462078716506841666951652567826160801014168029933869399383352142428806916865342122406615321102871997055987463072349482790203 (183 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2491805628
Step 1 took 0ms
Step 2 took 2352ms
********** Factor found in step 2: 120874934686150508880335435726426221
Found prime factor of 36 digits: 120874934686150508880335435726426221
Composite cofactor 1801788182146056270099819336029311493865312765552593907446984940418029090724182424767240973095217625108892966117305596471312918533764698441399548743 has 148 digits
---
Resuming ECM residue saved by @53b16d7aec7e with GMP-ECM 7.0.5-dev on Sun Feb 11 14:24:48 2024 
Input number is 1801788182146056270099819336029311493865312765552593907446984940418029090724182424767240973095217625108892966117305596471312918533764698441399548743 (148 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2491806226
Step 1 took 1ms
Step 2 took 1867ms
********** Factor found in step 2: 205344500681276989890662449124801782387
Found prime factor of 39 digits: 205344500681276989890662449124801782387
Prime cofactor 8774465233635256886980285837097487802477152953635048308572250550772323024650178609035313853359047879572064989 has 109 digits

129309545903304139121852453644855898849016219911708082851184696495027688061695776984190865124978248164856899098601406974573588290075207961019670751633241645522227538477523392764698979550178772722017<198>

1129774498169108667486353560548952027105787382462251882133785209017519402995679239096898489422366073426469419662406377457113520434600250570352451054029348259693471161554438151143239091068360019305180727548568517511<214>

5403481925156470099783644583716734937204662870867981933114325298650446003398102415042036142023939979301716872873361443228759256410150607813120479373337569663162656005891563710686967253524101789024093831168894964367475283<220>

4704243348313409314272783795350583149168606929777756445062901868453854813900765605760343787147500907372301974089353183676419873003142063114799672019253909877134469222778716049091237156597955045981910125194449<208>

17049242018313788233477447859170467760412579725582901527291001787408200267929511462009360856131178705811893985516000930820970276362519536694278075570939069649589437548581262979972975668580808964398677880403124878301<215>

2314975612499316171437534538117842856572708159196718515527706809203585557824430130618772395846941597136877685277973247965478637261959220132783638132127321269782279383<166>

1948040048153009697080959614570533560286629016018697204380483377302080739507810828764141307283934682942329508766199638004140054346363133090725570824118266092316373709581756341171147530893461090200349698587127301<211>

481789654982932326506539417276376118255496650927650232630974257037418974006371734640704585066131312457089922312422130459276104147373061547846133603655886305010921501408752768038105140495213109445106790864509<207>

5771918545845929233759972563447552255277475014414054768580697822853313301627660041133839876904916772082888108525501490519256484540598310779823975374266940108684176778543239120930508829251327593737531344141303282416616241087370685412179<235>

37485706377675698516298379548283281773722781188450112092577011644903507972004260153834294873566815897475827831989710579868834262503551236472816118881239<152>

64973953819777466134899311561185368828770735704133907935770824677716965028975551263873134170979951437356693707322164832088479127120925153206624378055634657535013592850278621957860070116293153920996699637085792970248995966823<224>

14974965847876294872740356999773372607876981059219430190847342085973110354644677755763913092915978607357103316260130106454825882766186054531711289408688350350355253112469613449963755512669247488144571512457135842289458955340974365756157<236>

1173148443164673664173896959670387441731414457910129784611829298641059307231089334179742371684026641828458845431890874742458961044182008234142224350267097363795142083<166>

17210252176083673928596375547414114804239556265169171058913800833653432991944685001405645164035935855830713207831455315148477984361634895795189117800567855358201659169308797942501012599599441<191>

62424692257619362813376514741137029783262139630332201942290475682586931799933557801639897712368541372520650116083400621011058507228945740230741201323216115376851353681653615001497<179>

274512420781499923530501100157611983295027416411609858532853005158824421469277943701180573522209127042137762586791271288498472654895119383338882535260246419828894230085757498815106066546551343541933387263<204>

2927881229391241985972160730179227725618176161929236035470320491388866534677668313447398115736692141495666955540157179447030634786001967072588878402518981984827353395859892456911139196449280718782163892938331<208>

20159592604869907089282177297569049025749416501649847841924246068274263135193714833838314900094098352900956606448829870216639159194163730047180989310761648920407160162561477208163515124071109177619479268310558125225264162363<224>

90746062872031160181647879847223340236850629332124889946949293658955795312338469188291392007917288620189334665295235660798511557175280315774413781263399958755324192278385320274680139611088935765434122789111833590509862939766964378392195349<239>

214942099834501020730162597586686730550841133589971353331763391133037207465474909122866647862260590201655093793408765593759033537672407395128216799143041087456394003887<168>

103417703176244663508693452200877403539<39>

2078387870094119668514339345528674369816405443712355674228552807032676333742818222410535417119487996585230096375701892308495218933<130>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2997023258
Step 1 took 4937ms
********** Factor found in step 2: 103417703176244663508693452200877403539
Found prime factor of 39 digits: 103417703176244663508693452200877403539
Composite cofactor 2078387870094119668514339345528674369816405443712355674228552807032676333742818222410535417119487996585230096375701892308495218933 has 130 digits

GMP-ECM

2078387870094119668514339345528674369816405443712355674228552807032676333742818222410535417119487996585230096375701892308495218933<130>

4230669159906721984264396983923149594175261<43>
491266934741818496009167531129190416112494827219977564305756227938983450821516267764153<87>

4230669159906721984264396983923149594175261

GMP-ECM 7.0.5, B1=11e7

Opteron 6272, Debian sid amd64

3560984430412256625332498012985077119061452421273090699537809140042042956426267199998971024838346274433572019259376689981679391520383660200557408242306564596947564713803310682437522646084139485801649660632947930121121974534752410766045219<238>

2857104982389898179447435393250519592034708413691111582430881724435593481642227493970675610990970637366356156490232629140325422238620377832945261902452013598559620905432893558677525559145456193322262459587277936287847324631<223>

944682071846619844124805166068441855581<39>
3024409023455864320557828529873074730231521495824666846583638447990709653531928099280505603982335521867020514459556512545526686282271250411802306955489229677862655585177284096038490051<184>

Resuming ECM residue saved by @72a7b6842341 with GMP-ECM 7.0.5-dev on Thu Oct 20 21:10:24 2022 
Input number is 2857104982389898179447435393250519592034708413691111582430881724435593481642227493970675610990970637366356156490232629140325422238620377832945261902452013598559620905432893558677525559145456193322262459587277936287847324631 (223 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1677207398
Step 1 took 0ms
Step 2 took 5360ms
********** Factor found in step 2: 944682071846619844124805166068441855581
Found prime factor of 39 digits: 944682071846619844124805166068441855581
Prime cofactor 3024409023455864320557828529873074730231521495824666846583638447990709653531928099280505603982335521867020514459556512545526686282271250411802306955489229677862655585177284096038490051 has 184 digits

149497119250523062497225437872291745379178569169471796848151862832245773706843759147824531845224800532247092584575223618387309590374419440759360688961263202354662801636689477347974154442816594434024622429857215089240603<219>

2529276268011844916144897570056744840655739648001603312576112696306758593054097425862888856926124236076039356672344400023991497325906545207621181133463442150168448296169<169>

832445322392820883249106545324615342322335492586686630878803708912758773676285612025842587136348384666761366951121928729717636832344239644288051369984494106449582365016442876967340359828966468996007781467612526552649467261462246136887879068587661<246>

4516451461860373985173885844800603594996822881689829493282065861030266629943810416776498554489180306760667981528863163181362132198669338435116904650811786985754783620095154241744460490164728944754929953122518517861580124066100484311407850183885268337162463<256>

232982830536552160864004945806532243<36>

19385340333702392318102224635582496461821360292851470887058540386256043674995907601032875764402734247853482034022379441588549822991497790555181245880532631809079335650585540825426697016356303909085194383802257063994433541<221>

Resuming ECM residue saved by @8afe3f04313d with GMP-ECM 7.0.5-dev on Tue Oct 18 09:04:11 2022 
Input number is 4516451461860373985173885844800603594996822881689829493282065861030266629943810416776498554489180306760667981528863163181362132198669338435116904650811786985754783620095154241744460490164728944754929953122518517861580124066100484311407850183885268337162463 (256 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:149707453
Step 1 took 0ms
Step 2 took 9200ms
********** Factor found in step 2: 232982830536552160864004945806532243
Found prime factor of 36 digits: 232982830536552160864004945806532243
Composite cofactor 19385340333702392318102224635582496461821360292851470887058540386256043674995907601032875764402734247853482034022379441588549822991497790555181245880532631809079335650585540825426697016356303909085194383802257063994433541 has 221 digits

269731369130082738370844070068679567521115323403549797071975394363872253978249749078413627713969611182428546985414461033781912102258111878468513473029608817059206304832185983510609608581126031797466615182287<207>

14965783443557702206196310572835553233034588936156903893019049882067793598874041020427873470128598488711773331341677596122793643326922166754738172747999353745638211239205531805958350027047175579841648179177001046559856636153386872440449<236>

1798205741416925715453203913182220617191974475232300277615506517079746219354526135461365245805156449007904156906819960556134754717033213858533306860688425404700967737556775840849984377816551205742591597536525630654360994220083452640342448099<241>

32622627949870966907190109025162783287<38>
55121425048285792788415527480279341828135572165722875107236944045841729841480577699250033921348234976174789555276748247613391777084014916795989333046919425776333570510448325310789905309622317678549105077<203>

Resuming ECM residue saved by @53b16d7aec7e with GMP-ECM 7.0.5-dev on Sun Feb 11 17:24:15 2024 
Input number is 1798205741416925715453203913182220617191974475232300277615506517079746219354526135461365245805156449007904156906819960556134754717033213858533306860688425404700967737556775840849984377816551205742591597536525630654360994220083452640342448099 (241 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1975592786
Step 1 took 0ms
Step 2 took 3427ms
********** Factor found in step 2: 32622627949870966907190109025162783287
Found prime factor of 38 digits: 32622627949870966907190109025162783287
Prime cofactor 55121425048285792788415527480279341828135572165722875107236944045841729841480577699250033921348234976174789555276748247613391777084014916795989333046919425776333570510448325310789905309622317678549105077 has 203 digits

1487661990091949668616275593133541942347540506723148769915285661752414307343474827093002075711783704282820063595658467792745263930694260781427796903950827931878967457578171252796726834506551514560511908046999746379963410864311743<229>

4717199652506029554614376450196896170797400901211216142906297547817965557111150773325789381807606308788304366614115175657888495016440667260893164565515301666813234348233349464955403174225602591508042637577209344241440700838777963767525676785511057113412456141<259>

141027870039022206923677038585269904412309384053330091408262317693898650488854282060050219312753681163878319030329233258106616404332193280869833501166869787056769884840620939948896022105519354758129347374879672335700579206406633498202254805175877000827<252>

298717233121820029747649056402780115446106066313056455462182137969916341344902542261317516142157530236950206103906043773895531973021415262892114778763703239860703944476522160306529839839510512726455981004993138730595325145965974934935379660258613529066639619<258>

6235827664399092970521541950113378684807256235827664399092970521541950113378684807256235827664399092970521541950113378684807256235827664399092970521541950113378684807256235827664399092970521541950113378684807256235827664399092970521541950113378684807256235827664399093<268>

18915059247067766186969780228731455115434908273121820656520114725466353417166522073734235830620631653738765889268606983892701389481701385468872446094988665792639978097095851750063242362634170693912012613298395262535273904875383712162263666719573<245>

42540172015101795933255158646866176395542293577957647092471297651107745078718892113032534524306011151925142548492985512073376385479825155680433170980817493348744273154853583234128477042569589724041586571387945836579226455036337082950646339053940863521<251>

9707353623089916508648562195178601551462887844361815486063793351469253984023516612420167819606260043957295931038414459426984597873759312816929128179432514942694087585541509390124162219492941989705298429428253865519220049496017077111669245129182949<247>

6217342177782406925529390401897377738425607186934390811009737206904501266479977853840233723307939622229314651307303689527380680739679971335091955204324783663937407935633118946205143202528119849209082907250364679439832985490839057989841017372117<244>

4134221392823292146152374596324029787828519836922785276825688427107710426580078100882459525050569422152731923773841885575772549672758125980402886137945645010646075911809762449318386244817903175505803212089479077995190335013872972564966782778782762839169159918229<262>

326241813703736766040127974949781165755116090972877416621268036224433843314041018255133298166569848947487250487755504408829139497275387121548498687705859916758046766092451427940169689959640476602681930044323047848141351672836867188635638168910533506428621<255>

921199972099533146208392325192051594468773135870162209030231164730741968392161371965684243432654812305722373143814719821037650943511427953189902089049102161315342413639964732609193230981577908004582245863181937502869680231528122671871233402526006841633<252>

3270825979183658869758994623291547491439<40>

281641389044319806969210592352576632329354260297851061014722187554962826556113167618033110920758052389967245642076688196453567211646033601166991170146051436725449873373184639733991552824588775672764275242639496047<213>

Resuming ECM residue saved by @8afe3f04313d with GMP-ECM 7.0.5-dev on Tue Oct 18 09:35:24 2022 
Input number is 921199972099533146208392325192051594468773135870162209030231164730741968392161371965684243432654812305722373143814719821037650943511427953189902089049102161315342413639964732609193230981577908004582245863181937502869680231528122671871233402526006841633 (252 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:412198140
Step 1 took 0ms
Step 2 took 9064ms
********** Factor found in step 2: 3270825979183658869758994623291547491439
Found prime factor of 40 digits: 3270825979183658869758994623291547491439
Composite cofactor 281641389044319806969210592352576632329354260297851061014722187554962826556113167618033110920758052389967245642076688196453567211646033601166991170146051436725449873373184639733991552824588775672764275242639496047 has 213 digits

2490669918361403420969331603108850385855475244203850798081803734989431758266629525699581758561873476790652664564856485969305347919713404743736626400992914204124664669764230399381356794304900495333461199600096410910530593<220>

233077971976126114358323792458626805992543314044953689079257971157810214517613245640026573315688976899659361789828099294942768848197103313020468966868272000125892410988144064392641059764418624348917493807213151441462190424233991281195666833<240>

1082776152115640526421689312274200854024854748913984535043208548040042904869521109585488222734782067977362396970480578405082735964186572761990767232380442082320939527038069143781644421732919717302652387182601647013107754734021968175474793971867957918429995503<259>

207679487931871537024910568093163235287<39>
5213688472069235400150393321326062999887139814893154558367929366884897755270185533028302442641981368807178655555484501859077538474811657747521218464157919317256846384673725387382786834732843735568806891696486821856736169<220>

Resuming ECM residue saved by @53b16d7aec7e with GMP-ECM 7.0.5-dev on Sun Feb 11 16:54:33 2024 
Input number is 1082776152115640526421689312274200854024854748913984535043208548040042904869521109585488222734782067977362396970480578405082735964186572761990767232380442082320939527038069143781644421732919717302652387182601647013107754734021968175474793971867957918429995503 (259 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4091749851
Step 1 took 0ms
Step 2 took 6896ms
********** Factor found in step 2: 207679487931871537024910568093163235287
Found prime factor of 39 digits: 207679487931871537024910568093163235287
Prime cofactor 5213688472069235400150393321326062999887139814893154558367929366884897755270185533028302442641981368807178655555484501859077538474811657747521218464157919317256846384673725387382786834732843735568806891696486821856736169 has 220 digits

322246810878391685731361222802574025829321064548648053966466175733237180732216226958067758760010561432843953830041935065532581827490642172950851723359562835652941555754916807020241075415715612654423005962090047843075505767753762818743694301936081351196971147<258>

30324381966392375343144122810464791726094031406390705243639835845503123454709670735858782779007783250232890562058187422520099469088014534777184179343734552758969152453054119266517159965208856989733505683343083306342398409133550448373597467820745034433493507948019<263>

1018518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518519<292>

6275244041254124634825423671554057<34>

162307395827583593863990148528957536095823725731739610653587544634399917563588118912831302430953663322870987528320595435121239445706639046838244877913982776217133675826595887272474709539100529612252859669246766319653071613193642225973923870948900315836263167<258>

Resuming ECM residue saved by @8afe3f04313d with GMP-ECM 7.0.5-dev on Tue Oct 18 08:32:56 2022 
Input number is 1018518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518519 (292 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2735029238
Step 1 took 0ms
Step 2 took 11045ms
********** Factor found in step 2: 6275244041254124634825423671554057
Found prime factor of 34 digits: 6275244041254124634825423671554057
Composite cofactor 162307395827583593863990148528957536095823725731739610653587544634399917563588118912831302430953663322870987528320595435121239445706639046838244877913982776217133675826595887272474709539100529612252859669246766319653071613193642225973923870948900315836263167 has 258 digits

431202841785410011629007519439027870347227844519275228806851121349810907910613545054367692863103278824229458279446502199285806102799394093837255414045288550820216091925885313412941186618382171814076893994311719504138245048557744173403352583905961691164938679294593985354774074571708287<285>

2157604514678347953581591038233862765649954193428813821298461187239992248531814422362092036701962353583687103490434447740467309264305355929174025789197404954551970785953887699069766837378328574037346066785566661019847625071527394941415286307338659419313672911319814162428726315991<280>

205830250657342057323185727086269788309807476497961151444835347597034173586495681603213171029740656834341095591303653193886058734421168527200510762929366074888082200398673065481688804274941<189>

30195001446906558257654273539519267602544564322485861806102197524175319476580545857775612189763009222744996162501041461493713669586465740520563609178829252852160061142285143320855043359147858152787171730071363823267454367246712652908975583207640389558945739411732787904433<272>

359069160634331864348032341304930301668037035879472793060897669750021444006913934196008544827144637637270896587084360567153770307289069929046144366333023304451606913635560720714968353436894536934157030880661609181530153180156956545925552739486399492574566124628027702151655132292976723<285>

24291846783941139998869114447696441173891123265442442794544367053516314360622263869011442585211728646687432002033225382709078808844919957370349205103663532548698260534920122442586933245596905881280027838766786676537069794119929769909184712350411818372605140257842187416464258215935939<284>

60959970911083617494461121980283548046634540588285921272658836580483644412059140491948895981692295170707323842870834897017017717697578541965931233629464957835231185381202673262978161078296100166513839160334438323200465567421378531314080042328701440412539356786259165690266237<275>