5495600920608415791807485198227477664347272781973051325964290441482871529967054684754824258422291187953818426925644487404889381643<130>

78168599768506389915769096471731999506381<41>
98627970534811576733762760709847556429329<41>
712824730143064724192573094052187772119187236807<48>

Number: n
N=5495600920608415791807485198227477664347272781973051325964290441482871529967054684754824258422291187953818426925644487404889381643
  ( 130 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=78168599768506389915769096471731999506381 (pp41)
 r2=98627970534811576733762760709847556429329 (pp41)
 r3=712824730143064724192573094052187772119187236807 (pp48)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 25.32 hours.
Scaled time: 34.53 units (timescale=1.364).
Factorization parameters were as follows:
name: KA_5_154_3
n: 5495600920608415791807485198227477664347272781973051325964290441482871529967054684754824258422291187953818426925644487404889381643
skew: 1.36
deg: 5
c5: 5
c0: -23
m: 10000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1100001)
Primes: RFBsize:216816, AFBsize:217341, largePrimes:6728171 encountered
Relations: rels:6204172, finalFF:487768
Max relations in full relation-set: 28
Initial matrix: 434222 x 487768 with sparse part having weight 30334453.
Pruned matrix : 385580 x 387815 with weight 19867980.
Total sieving time: 22.41 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.52 hours.
Total square root time: 0.21 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 25.32 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553<156>

2560846149716872439579858329726586825671575032531<49>
216942183589192918421663964578069355218853581414103484953743923902937473987096413182058653625995214621863163<108>

Number: 55553_156
N=555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553
  ( 156 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=2560846149716872439579858329726586825671575032531 (pp49)
 r2=216942183589192918421663964578069355218853581414103484953743923902937473987096413182058653625995214621863163 (pp108)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 62.22 hours.
Scaled time: 37.96 units (timescale=0.610).
Factorization parameters were as follows:
n: 555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553
m: 10000000000000000000000000000000
c5: 50
c0: -23
skew: 1
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 
)
Primes: RFBsize:216816, AFBsize:217086, largePrimes:5742807 encountered
Relations: rels:5740934, finalFF:571746
Max relations in full relation-set: 28
Initial matrix: 433967 x 571746 with sparse part having weight 48670665.
Pruned matrix : 367071 x 369304 with weight 30938760.
Total sieving time: 53.91 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 7.68 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 62.22 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.24GHz, Windows XP and Cygwin

152515751903114429609847319836116334013035033264753100332578898914969387495825262581032000275504454237785905647228198551960545761146484089450000440770523<153>

1365275107933766940502292838105456569269<40>
5993070696988687498185746545206764928030823906718791<52>
18639966485678882898966502221797396041802923662890668936753337<62>

Number: n
N=152515751903114429609847319836116334013035033264753100332578898914969387495825262581032000275504454237785905647228198551960545761146484089450000440770523
  ( 153 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=1365275107933766940502292838105456569269 (pp40)
 r2=5993070696988687498185746545206764928030823906718791 (pp52)
 r3=18639966485678882898966502221797396041802923662890668936753337 (pp62)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 37.16 hours.
Scaled time: 50.72 units (timescale=1.365).
Factorization parameters were as follows:
name: KA_5_158_3
n: 152515751903114429609847319836116334013035033264753100332578898914969387495825262581032000275504454237785905647228198551960545761146484089450000440770523
skew: 2.15
deg: 5
c5: 1
c0: -46
m: 100000000000000000000000000000000
type: snfs
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1500001)
Primes: RFBsize:315948, AFBsize:316251, largePrimes:7486977 encountered
Relations: rels:7195105, finalFF:785470
Max relations in full relation-set: 28
Initial matrix: 632263 x 785470 with sparse part having weight 38165133.
Pruned matrix : 485256 x 488481 with weight 18851472.
Total sieving time: 33.59 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.14 hours.
Total square root time: 0.22 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4500000,4500000,28,28,48,48,2.5,2.5,100000
total time: 37.16 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

205219792673214682535851141539900959575320806727859929966266083637095305956800173833587200975248928879567868982455409647775690339<129>

557467334877805199211719058269920279<36>
368128820889923730632432710032916764064373628070399222255862045362828218454119475627959989141<93>

GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 205219792673214682535851141539900959575320806727859929966266083637095305956800173833587200975248928879567868982455409647775690339 (129 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1380264914
Step 1 took 20182ms
Step 2 took 8923ms
********** Factor found in step 2: 557467334877805199211719058269920279
Found probable prime factor of 36 digits: 557467334877805199211719058269920279
Probable prime cofactor 368128820889923730632432710032916764064373628070399222255862045362828218454119475627959989141 has 93 digits

Core 2 Quad Q6600

350634106394350501348401978142996271601048718932596372440033255896429788638614005865524135173456316754217225300328345753718401<126>

204200339305081254682089876323<30>
1717108343637436044836379289726170911481645229487158423846189656851215623920488863042590355402187<97>

GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 350634106394350501348401978142996271601048718932596372440033255896429788638614005865524135173456316754217225300328345753718401 (126 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2861941393
Step 1 took 18797ms
Step 2 took 13031ms
********** Factor found in step 2: 204200339305081254682089876323
Found probable prime factor of 30 digits: 204200339305081254682089876323
Probable prime cofactor 1717108343637436044836379289726170911481645229487158423846189656851215623920488863042590355402187 has 97 digits

Pentium 4 2.4GHz

11830509720080425325375598472836094119415647645200888882018736825250641682747740385363305803723965653576539279961713632444852447675173179219389<143>

88251067479212923009474772487688631800999197025093157<53>
134055145824349829678858500491427751894659830463832718793400933405117679808822762144065977<90>

Number: n
N=11830509720080425325375598472836094119415647645200888882018736825250641
682747740385363305803723965653576539279961713632444852447675173179219389
  ( 143 digits)
SNFS difficulty: 162 digits.
Divisors found:

Wed Nov 28 01:46:13 2007  prp53 factor: 
88251067479212923009474772487688631800999197025093157
Wed Nov 28 01:46:13 2007  prp90 factor: 
1340551458243498296788585004914277518946598304638327187934009334051176798
08822762144065977
Wed Nov 28 01:46:13 2007  elapsed time 01:49:31 (Msieve 1.30)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 57.66 hours.
Scaled time: 76.39 units (timescale=1.325).
Factorization parameters were as follows:
name: KA_5_161_3
n: 
1183050972008042532537559847283609411941564764520088888201873682525064168
2747740385363305803723965653576539279961713632444852447675173179219389
skew: 0.54
deg: 5
c5: 500
c0: -23
m: 100000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2700000)
Primes: RFBsize:216816, AFBsize:216551, largePrimes:7434136 encountered
Relations: rels:6877587, finalFF:488281
Max relations in full relation-set: 28
Initial matrix: 433433 x 488281 with sparse part having weight 51570740.
Pruned matrix : 409705 x 411936 with weight 36845788.
Total sieving time: 57.40 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 57.66 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

2515655417435468421906423529418482767298588603498122386763350799680220456382663824939484925376682675948872275090986001914951956003259537<136>

954966188692478370261835870373955259<36>
2634287420039296053564941005908420267092205878181191973670272490843357273239995457115579925801892643<100>

Number: 55553_166
N=2515655417435468421906423529418482767298588603498122386763350799680220456382663824939484925376682675948872275090986001914951956003259537
  ( 136 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=954966188692478370261835870373955259 (pp36)
 r2=2634287420039296053564941005908420267092205878181191973670272490843357273239995457115579925801892643 (pp100)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 101.01 hours.
Scaled time: 101.82 units (timescale=1.008).
Factorization parameters were as follows:
name: 55553_166
n: 2515655417435468421906423529418482767298588603498122386763350799680220456382663824939484925376682675948872275090986001914951956003259537
m: 1000000000000000000000000000000000
c5: 50
c0: -23
skew: 0.86
type: snfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2500000, 6200001)
Primes: RFBsize:348513, AFBsize:348791, largePrimes:6077777 encountered
Relations: rels:6316953, finalFF:862311
Max relations in full relation-set: 28
Initial matrix: 697369 x 862311 with sparse part having weight 64492968.
Pruned matrix : 571242 x 574792 with weight 47124797.
Total sieving time: 97.95 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.86 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,48,48,2.5,2.5,100000
total time: 101.01 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

1377746647662084569815338989296526604441649201110941575744301169334492610915730161636337239929543822932846081447472366919551311793276851588413<142>

4534229354659272615202786707505221491<37>
5307729004237646738094282755789801851124238131627<49>
57247580658584769147297015573859650130443012417569320109<56>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 1377746647662084569815338989296526604441649201110941575744301169334492610915730161636337239929543822932846081447472366919551311793276851588413 (142 digits)
Using B1=1242000, B2=1143282635, polynomial Dickson(6), sigma=3138564761
Step 1 took 16406ms
Step 2 took 9422ms
********** Factor found in step 2: 4534229354659272615202786707505221491
Found probable prime factor of 37 digits: 4534229354659272615202786707505221491
Composite cofactor 303854644284004501603054739515143078103688249906898718160532334889375027156095800934456094438098839987343 has 105 digits


Number: n
N=303854644284004501603054739515143078103688249906898718160532334889375027156095800934456094438098839987343
  ( 105 digits)
Divisors found:

Wed May 21 00:10:06 2008  prp49 factor: 5307729004237646738094282755789801851124238131627
Wed May 21 00:10:06 2008  prp56 factor: 57247580658584769147297015573859650130443012417569320109
Wed May 21 00:10:06 2008  elapsed time 00:25:35 (Msieve 1.35)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 9.19 hours.
Scaled time: 13.30 units (timescale=1.447).
Factorization parameters were as follows:
name: n
n: 303854644284004501603054739515143078103688249906898718160532334889375027156095800934456094438098839987343
skew: 4247.77
# norm 1.75e+13
c5: 55080
c4: 365730018
c3: -2888912593427
c2: -4861785643557040
c1: 22243646095735652084
c0: 22141020713593788522960
# alpha -3.84
Y1: 103926725093
Y0: -88783796969622700957
# Murphy_E 2.08e-09
# M 123198688195128300348499142709450541348104311857436014602214916670286578204588240644864396042236949963164
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 1300000)
Primes: RFBsize:183072, AFBsize:182479, largePrimes:4258432 encountered
Relations: rels:4351739, finalFF:511925
Max relations in full relation-set: 28
Initial matrix: 365631 x 511925 with sparse part having weight 32012362.
Pruned matrix : 
Total sieving time: 9.03 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 9.19 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

1602845245754527809114137555252342481108412567575850542474598841068731998059106547498459138095132197281080249852340172944428951<127>

2087471764369186746744924457169<31>
76293479821546473110280044511336659<35>
10064299668743025389207488369674286100888124822116938935677981<62>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 1602845245754527809114137555252342481108412567575850542474598841068731998059106547498459138095132197281080249852340172944428951 (127 digits)
Using B1=270000, B2=129968227, polynomial Dickson(3), sigma=81731331
Step 1 took 3531ms
Step 2 took 2500ms
********** Factor found in step 2: 2087471764369186746744924457169
Found probable prime factor of 31 digits: 2087471764369186746744924457169
Composite cofactor 767840443695242861108760607871765351177314212049818829032491187847337032599138777187758704405479 has 96 digits


GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 767840443695242861108760607871765351177314212049818829032491187847337032599138777187758704405479 (96 digits)
Using B1=1040000, B2=887801845, polynomial Dickson(3), sigma=4270887374
Step 1 took 8640ms
Step 2 took 5969ms
********** Factor found in step 2: 76293479821546473110280044511336659
Found probable prime factor of 35 digits: 76293479821546473110280044511336659
Probable prime cofactor 10064299668743025389207488369674286100888124822116938935677981 has 62 digits

2281587176875759054520890703509527182715102806806507622366468975418052184720131042409246726276126043931951476891864183073846751143457027596919608277490517903<157>

45001623418203325386019413691245428244292701406687273123<56>
50700108208826272869285692148550799344352074012722932660038293634721356836394536023755688749101133861<101>

Number: n
N=2281587176875759054520890703509527182715102806806507622366468975418052184720131042409246726276126043931951476891864183073846751143457027596919608277490517903
  ( 157 digits)
SNFS difficulty: 170 digits.
Divisors found:

Thu Oct 02 03:06:19 2008  prp56 factor: 45001623418203325386019413691245428244292701406687273123
Thu Oct 02 03:06:19 2008  prp101 factor: 50700108208826272869285692148550799344352074012722932660038293634721356836394536023755688749101133861
Thu Oct 02 03:06:19 2008  elapsed time 04:09:19 (Msieve 1.38 **dep=7**)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 0.78 hours.
Scaled time: 1.02 units (timescale=1.299).
Factorization parameters were as follows:
name: KA_5_169_3
n: 2281587176875759054520890703509527182715102806806507622366468975418052184720131042409246726276126043931951476891864183073846751143457027596919608277490517903
type: snfs
skew: 1.36
deg: 5
c5: 5
c0: -23
m: 10000000000000000000000000000000000
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 200001)
Primes: RFBsize:425648, AFBsize:426252, largePrimes:14739769 encountered
Relations: rels:15116534, finalFF:1557464
Max relations in full relation-set: 28
Initial matrix: 851965 x 1557464 with sparse part having weight 149351625.
Pruned matrix : 
Total sieving time: 0.35 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,52,52,2.5,2.5,100000
total time: 0.78 hours.
 --------- CPU info (if available) ----------

11430949065977151819006924868944168958571954395085606377555102889972542860343522881330745366464796106161510165543004373481112642858285952049454858039043549629751559753<167>

6027739170558698373176408401461180267513269261549301064477211046506440175172858341<82>
1896390793053781284969080421438636485505504937000715539338204658483363752598306704533<85>

Number: n
N=11430949065977151819006924868944168958571954395085606377555102889972542860343522881330745366464796106161510165543004373481112642858285952049454858039043549629751559753
  ( 167 digits)
SNFS difficulty: 171 digits.
Divisors found:

Thu Oct 16 12:30:45 2008  prp82 factor: 6027739170558698373176408401461180267513269261549301064477211046506440175172858341
Thu Oct 16 12:30:45 2008  prp85 factor: 1896390793053781284969080421438636485505504937000715539338204658483363752598306704533
Thu Oct 16 12:30:45 2008  elapsed time 04:44:35 (Msieve 1.38)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 12.01 hours.
Scaled time: 15.58 units (timescale=1.297).
Factorization parameters were as follows:
name: KA_5_170_3
n: 11430949065977151819006924868944168958571954395085606377555102889972542860343522881330745366464796106161510165543004373481112642858285952049454858039043549629751559753
type: snfs
skew: 0.86
deg: 5
c5: 50
c0: -23
m: 10000000000000000000000000000000000
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 1100001)
Primes: RFBsize:425648, AFBsize:426017, largePrimes:13787792 encountered
Relations: rels:13296250, finalFF:939569
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 11.29 hours.
Total relation processing time: 0.72 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,52,52,2.5,2.5,100000
total time: 12.01 hours.
 --------- CPU info (if available) ----------

1126887536623844940274960558936218165427090376380437232364210051836826684696867252648185711066035609646157313500112688753662384494027496055893621816542709037638043723236421<172>

359886655710553109256565370413038399176555884657330308072113227<63>
3131229009864065205534482597030840703301171760518459388457299185286436731474229584526926422614873427573448623<109>

Number: n
N=1126887536623844940274960558936218165427090376380437232364210051836826684696867252648185711066035609646157313500112688753662384494027496055893621816542709037638043723236421
  ( 172 digits)
SNFS difficulty: 175 digits.
Divisors found:

Wed Aug 20 12:24:15 2008  prp63 factor: 359886655710553109256565370413038399176555884657330308072113227
Wed Aug 20 12:24:15 2008  prp109 factor: 3131229009864065205534482597030840703301171760518459388457299185286436731474229584526926422614873427573448623
Wed Aug 20 12:24:15 2008  elapsed time 02:54:01 (Msieve 1.36)

Version: GGNFS-0.77.1-20050930-k8
Total time: 43.83 hours.
Scaled time: 36.90 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_5_173_3
n: 1126887536623844940274960558936218165427090376380437232364210051836826684696867252648185711066035609646157313500112688753662384494027496055893621816542709037638043723236421
type: snfs
skew: 2.15
deg: 5
c5: 1
c0: -46
m: 100000000000000000000000000000000000
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 4700001)
Primes: RFBsize:501962, AFBsize:502151, largePrimes:10263667 encountered
Relations: rels:10063226, finalFF:1058780
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 43.56 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,50,50,2.5,2.5,100000
total time: 43.83 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848)
Total of 2 processors activated (12009.47 BogoMIPS).

326247780390063490080526567389407287772607756850489421386244699258972286197300264888556697435749420641611080508391884903615843955966802973<138>

4661836374220572539760215300764903<34>
11295075400192600197849101280470815718651587<44>
6195857276717619727216038006255810782415556893095252567776393<61>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3648214678
Step 1 took 181977ms
Step 2 took 71631ms
********** Factor found in step 2: 4661836374220572539760215300764903
Found probable prime factor of 34 digits: 4661836374220572539760215300764903
Composite cofactor 69982675109357502664773188790033301762413925207713821231567808310768018434245939099473282468624890585691 has 104 digits
------------------
N=69982675109357502664773188790033301762413925207713821231567808310768018434245939099473282468624890585691
  ( 104 digits)
Divisors found:
 r1=11295075400192600197849101280470815718651587 (pp44)
 r2=6195857276717619727216038006255810782415556893095252567776393 (pp61)
Version: Msieve v. 1.47
Total time: 1.09 hours.
Scaled time: 1.64 units (timescale=1.503).
Factorization parameters were as follows:
name: 104
n: 69982675109357502664773188790033301762413925207713821231567808310768018434245939099473282468624890585691
skew: 6773.62
# norm 2.70e+14
c5: 93240
c4: 4904118069
c3: -5958258806135
c2: -205369732618200122
c1: 248820566136218047933
c0: 985324895938493153452695
# alpha -6.32
Y1: 54831208553
Y0: -59576289389941236316
# Murphy_E 2.19e-09
# M 7366730150754011287826529378383639596549827132338798200417765729718471252353330155972886828113241215555
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 algebraic special-q in [1150000, 1950001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 263149 x 263378
Polynomial selection time: 0.64 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 1.09 hours.
 --------- CPU info (if available) ----------

936498507979718945384354311979147215882166669381593216536356297181561390668035676246830175832911627538501677130398954162159959562857097353757124494629453409693<159>

31070192625693624553407820800561943<35>
30141380816714912258329308442155635394544595207610568572131268455046487169961319756956754192795252447814707146903910084134251<125>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3620444616
Step 1 took 8705ms
********** Factor found in step 1: 31070192625693624553407820800561943
Found probable prime factor of 35 digits: 31070192625693624553407820800561943
Probable prime cofactor 30141380816714912258329308442155635394544595207610568572131268455046487169961319756956754192795252447814707146903910084134251 has 125 digits

GMP-ECM 6.2.3

50288716650164493150642256758353625526551974670602283713631190313676978714821800750147833698220027286808043812131230871328666385711126943836841524090082344030611<161>

6291818053950382712807773767288994833626921992272734659<55>
7992716289465841259087157357626619141311937796727359586655921039183225106444208066468342574322362833644529<106>

N=50288716650164493150642256758353625526551974670602283713631190313676978714821800750147833698220027286808043812131230871328666385711126943836841524090082344030611
  ( 161 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=6291818053950382712807773767288994833626921992272734659 (pp55)
 r2=7992716289465841259087157357626619141311937796727359586655921039183225106444208066468342574322362833644529 (pp106)
Version: Msieve-1.40
Total time: 102.70 hours.
Scaled time: 199.85 units (timescale=1.946).
Factorization parameters were as follows:
n: 50288716650164493150642256758353625526551974670602283713631190313676978714821800750147833698220027286808043812131230871328666385711126943836841524090082344030611
m: 500000000000000000000000000000000000
deg: 5
c5: 16
c0: -23
skew: 1.08
type: snfs
lss: 1
rlim: 6900000
alim: 6900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 240000Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3450000, 8250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1337742 x 1337968
Total sieving time: 99.54 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.54 hours.
Time per square root: 0.44 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6900000,6900000,28,28,53,53,2.5,2.5,100000
total time: 102.70 hours.
 --------- CPU info (if available) ----------

416291376005594621101931686271896945526673308360265940658250180421823687255036733985457948115439088602453709281946900627650026529013710181831017<144>

687803100970957788662415682330278575034733<42>
605247890592415863871110605761674126376482105290280241337087884763077147497213529971623886197755952749<102>

Using B1=11000000, B2=96175819756, polynomial Dickson(12), sigma=1426785098
Step 1 took 67428ms
Step 2 took 43125ms
********** Factor found in step 2: 687803100970957788662415682330278575034733
Found probable prime factor of 42 digits: 687803100970957788662415682330278575034733
Probable prime cofactor 605247890592415863871110605761674126376482105290280241337087884763077147497213529971623886197755952749 has 102 digits

GMP-ECM 6.2.1

4794645340084193972171878446151338185514417498537633171274320838487577073923841853418102662946021882761332144261288992453228234707478687801463325757793696000306857301765388414219<178>

22164089254899828504746140018019<32>

216324942791152081793580282576603715592327742295380183409321402881799332508862151634956890785529810487524741549747806557894880895635721994907999801<147>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
4794645340084193972171878446151338185514417498537633171274320838487577073923841853418102662946021882761332144261288992453228234707478687801463325757793696000306857301765388414219
=22164089254899828504746140018019* 216324942791152081793580282576603715592327742295380183409321402881799332508862151634956890785529810487524741549747806557894880895635721994907999801

216324942791152081793580282576603715592327742295380183409321402881799332508862151634956890785529810487524741549747806557894880895635721994907999801<147>

12451805868508115413999218747587629<35>
17372977468132544784945808428892258148503450238106302623353056627559923453157656574303290950398955542447297844669<113>

Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=3050276631
Step 1 took 1872ms
Step 2 took 1872ms
********** Factor found in step 2: 12451805868508115413999218747587629
Found probable prime factor of 35 digits: 12451805868508115413999218747587629
Probable prime cofactor 17372977468132544784945808428892258148503450238106302623353056627559923453157656574303290950398955542447297844669 has 113 digits

GMP-ECM 6.2.3

179945778510708836080589448871146949371246104317066383335530794551793683889740159757425063640639714889836321930337300962902711<126>

4447157373848506897595629163234478692497222248038378089<55>
40463101119128220174838353390558913450445769536584152739988540703367199<71>

Number: 55553_185
N=179945778510708836080589448871146949371246104317066383335530794551793683889740159757425063640639714889836321930337300962902711
  ( 126 digits)
Divisors found:
 r1=4447157373848506897595629163234478692497222248038378089
 r2=40463101119128220174838353390558913450445769536584152739988540703367199
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.737).
Factorization parameters were as follows:
name: 55553_185
n: 179945778510708836080589448871146949371246104317066383335530794551793683889740159757425063640639714889836321930337300962902711
skew: 78436.96
# norm 4.47e+17
c5: 141120
c4: 210798550396
c3: -2311548511262600
c2: -1331340454492406883599
c1: -12898272503990683384020858
c0: 342428524648698367377122484465
# alpha -6.86
Y1: 28117900703519
Y0: -1049801391123476444878468
# Murphy_E 1.33e-10
# M 159496249529484995713156133406394224529425016161226558234898604187480904861637765732940295828492291561597036179686238567469420
type: gnfs
rlim: 8000000
alim: 8000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [4000000, 7800001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 994198 x 994446
Poly selection time: 4.00 hours
Total sieving time: 60.00 hours.
Total relation processing time: 0.50 hours.
Matrix solve time: 4.00 hours.
Time per square root: 0.50 hours.
Prototype def-par.txt line would be:
gnfs,125,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8000000,8000000,27,27,52,52,2.5,2.5,100000

total time: 69 hours.

Msieve-1.36

Opteron-2.6GHz; Linux x86_64

1851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851<187>

1249569676018218532056891295863517<34>

1481991670726852801036337564124989580909663768841067210637083024250974479404992726846367777814579781927851301822010278319654383652691909116064846052888903<154>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 1851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851 (187 digits)

Using B1=4194304, B2=8561760490, polynomial Dickson(6), sigma=890821030

Step 1 took 127045ms

Step 2 took 38777ms

********** Factor found in step 2: 1249569676018218532056891295863517

Found probable prime factor of 34 digits: 1249569676018218532056891295863517

Composite cofactor 1481991670726852801036337564124989580909663768841067210637083024250974479404992726846367777814579781927851301822010278319654383652691909116064846052888903 has 154 digits

1481991670726852801036337564124989580909663768841067210637083024250974479404992726846367777814579781927851301822010278319654383652691909116064846052888903<154>

99276190989851520434393675106980465275113272867<47>
14927966675094826772660824646886673067911568337438299402220685501789968244739062832644359969502475421319309<107>

N=1481991670726852801036337564124989580909663768841067210637083024250974479404992726846367777814579781927851301822010278319654383652691909116064846052888903
  ( 154 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=99276190989851520434393675106980465275113272867 (pp47)
 r2=14927966675094826772660824646886673067911568337438299402220685501789968244739062832644359969502475421319309 (pp107)
Version: Msieve v. 1.47
Total time:
Scaled time: 27.60 units (timescale=1.139).
Factorization parameters were as follows:
n: 1481991670726852801036337564124989580909663768841067210637083024250974479404992726846367777814579781927851301822010278319654383652691909116064846052888903
m: 10000000000000000000000000000000000000
deg: 5
c5: 500
c0: -23
skew: 0.54
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4700000, 15580001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1982711 x 1982937
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9400000,9400000,28,28,54,54,2.5,2.5,100000
total time:

168353158733239805159381080422176257036265410879396431904931950109337740544549537865121213354685721065942176407231748539877008796970886978814048418885225270437649953996704711<174>

6949099976695798019485329959<28>

24226613417251399107633278235282534498979801691191248382376457126126295340750015734646309207992878830271994380586380451824139683183787774912460129<146>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2395590199
Step 1 took 25942ms
********** Factor found in step 1: 6949099976695798019485329959
Found probable prime factor of 28 digits: 6949099976695798019485329959
Composite cofactor 24226613417251399107633278235282534498979801691191248382376457126126295340750015734646309207992878830271994380586380451824139683183787774912460129 has 146 digits

GMP-ECM 6.2.1

24226613417251399107633278235282534498979801691191248382376457126126295340750015734646309207992878830271994380586380451824139683183787774912460129<146>

39881353174634413280689104911213516923699<41>
607467186761861448386788996195940950363221479181678404814616738189458661096073199661267472673116767372571<105>

N=24226613417251399107633278235282534498979801691191248382376457126126295340750015734646309207992878830271994380586380451824139683183787774912460129
  ( 146 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=39881353174634413280689104911213516923699 (pp41)
 r2=607467186761861448386788996195940950363221479181678404814616738189458661096073199661267472673116767372571 (pp105)
Version: Msieve-1.40
Total time: 241.70 hours.
Scaled time: 467.20 units (timescale=1.933).
Factorization parameters were as follows:
n: 24226613417251399107633278235282534498979801691191248382376457126126295340750015734646309207992878830271994380586380451824139683183787774912460129
m: 10000000000000000000000000000000000000
deg: 5
c5: 5000
c0: -23
skew: 0.34
type: snfs
lss: 1
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4900000, 8500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1718496 x 1718721
Total sieving time: 236.25 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 4.93 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,188.000,5,0,0,0,0,0,0,0,0,9800000,9800000,28,28,54,54,2.5,2.5,100000
total time: 241.70 hours.
 --------- CPU info (if available) ----------

2664829000587861277529682197823047892839764365160452018954395715381339694813123536675775052190675976513263120418825844364392981266785091667452791221840085743537922915024465795054397154389<187>

145799094413327602537748495764843958560973257709379649763033<60>
18277404337185425598239891100735103652779933589824068526521803540526698706975024559967802397321441019434259076595377171175687133<128>

N=2664829000587861277529682197823047892839764365160452018954395715381339694813123536675775052190675976513263120418825844364392981266785091667452791221840085743537922915024465795054397154389
  ( 187 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=145799094413327602537748495764843958560973257709379649763033 (pp60)
 r2=18277404337185425598239891100735103652779933589824068526521803540526698706975024559967802397321441019434259076595377171175687133 (pp128)
Version: Msieve v. 1.42
Total time: 792.35 hours.
Scaled time: 1412.76 units (timescale=1.783).
Factorization parameters were as follows:
n: 2664829000587861277529682197823047892839764365160452018954395715381339694813123536675775052190675976513263120418825844364392981266785091667452791221840085743537922915024465795054397154389
m: 200000000000000000000000000000000000000
deg: 5
c5: 125
c0: -184
skew: 1.08
type: snfs
lss: 1
rlim: 11800000
alim: 11800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5

Factor base limits: 11800000/11800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5900000, 12200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2317522 x 2317749
Total sieving time: 786.22 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 5.22 hours.
Time per square root: 0.74 hours.
Prototype def-par.txt line would be:
snfs,193.000,5,0,0,0,0,0,0,0,0,11800000,11800000,28,28,55,55,2.5,2.5,100000
total time: 792.35 hours.

2641394025715633590135735854583569868512422858579751515346652067957571437069263865141372613387583635359344103296222442283140798913509812566326505674388331864224060443<166>

756100413936379983050246323928079479509898064307441210378091<60>
3493443432948426504304123312587288337874457820639188837874045379843627963493908138533906553680868940857873<106>

Sieving took ~cpu-days

Tue Mar 20 13:12:01 2012  Msieve v. 1.48
Tue Mar 20 13:12:01 2012  random seeds: 0afde528 bb450f98
Tue Mar 20 13:12:01 2012  factoring 2641394025715633590135735854583569868512422858579751515346652067957571437069263865141372613387583635359344103296222442283140798913509812566326505674388331864224060443 (166 digits)
Tue Mar 20 13:12:02 2012  searching for 15-digit factors
Tue Mar 20 13:12:03 2012  commencing number field sieve (166-digit input)
Tue Mar 20 13:12:03 2012  R0: -100000000000000000000000000000000000000
Tue Mar 20 13:12:03 2012  R1:  1
Tue Mar 20 13:12:03 2012  A0: -23
Tue Mar 20 13:12:03 2012  A1:  0
Tue Mar 20 13:12:03 2012  A2:  0
Tue Mar 20 13:12:03 2012  A3:  0
Tue Mar 20 13:12:03 2012  A4:  0
Tue Mar 20 13:12:03 2012  A5:  5000
Tue Mar 20 13:12:03 2012  skew 0.34, size 1.952e-013, alpha -1.132, combined = 3.055e-011 rroots = 1
Tue Mar 20 13:12:03 2012  
Tue Mar 20 13:12:03 2012  commencing relation filtering
Tue Mar 20 13:12:03 2012  estimated available RAM is 4096.0 MB
Tue Mar 20 13:12:03 2012  commencing duplicate removal, pass 1
Tue Mar 20 13:15:25 2012  skipped 1 relations with b > 2^32
Tue Mar 20 13:15:25 2012  found 2455287 hash collisions in 23628320 relations
Tue Mar 20 13:16:13 2012  added 2816 free relations
Tue Mar 20 13:16:13 2012  commencing duplicate removal, pass 2
Tue Mar 20 13:16:30 2012  found 1795267 duplicates and 21835869 unique relations
Tue Mar 20 13:16:30 2012  memory use: 98.6 MB
Tue Mar 20 13:16:30 2012  reading ideals above 11337728
Tue Mar 20 13:16:34 2012  commencing singleton removal, initial pass
Tue Mar 20 13:20:09 2012  memory use: 689.0 MB
Tue Mar 20 13:20:09 2012  reading all ideals from disk
Tue Mar 20 13:20:10 2012  memory use: 402.2 MB
Tue Mar 20 13:20:12 2012  commencing in-memory singleton removal
Tue Mar 20 13:20:14 2012  begin with 21835869 relations and 21746001 unique ideals
Tue Mar 20 13:20:35 2012  reduce to 10339351 relations and 8213094 ideals in 15 passes
Tue Mar 20 13:20:35 2012  max relations containing the same ideal: 23
Tue Mar 20 13:20:38 2012  reading ideals above 720000
Tue Mar 20 13:20:38 2012  commencing singleton removal, initial pass
Tue Mar 20 13:22:34 2012  memory use: 188.3 MB
Tue Mar 20 13:22:34 2012  reading all ideals from disk
Tue Mar 20 13:22:35 2012  memory use: 334.6 MB
Tue Mar 20 13:22:37 2012  commencing in-memory singleton removal
Tue Mar 20 13:22:39 2012  begin with 10342167 relations and 9607317 unique ideals
Tue Mar 20 13:22:54 2012  reduce to 10338990 relations and 9590387 ideals in 7 passes
Tue Mar 20 13:22:54 2012  max relations containing the same ideal: 143
Tue Mar 20 13:23:03 2012  removing 2039665 relations and 1732688 ideals in 306977 cliques
Tue Mar 20 13:23:04 2012  commencing in-memory singleton removal
Tue Mar 20 13:23:06 2012  begin with 8299325 relations and 9590387 unique ideals
Tue Mar 20 13:23:24 2012  reduce to 7998821 relations and 7545691 ideals in 11 passes
Tue Mar 20 13:23:24 2012  max relations containing the same ideal: 116
Tue Mar 20 13:23:32 2012  removing 1539576 relations and 1232599 ideals in 306977 cliques
Tue Mar 20 13:23:33 2012  commencing in-memory singleton removal
Tue Mar 20 13:23:34 2012  begin with 6459245 relations and 7545691 unique ideals
Tue Mar 20 13:23:47 2012  reduce to 6229213 relations and 6074316 ideals in 10 passes
Tue Mar 20 13:23:47 2012  max relations containing the same ideal: 98
Tue Mar 20 13:23:53 2012  removing 175160 relations and 154912 ideals in 20248 cliques
Tue Mar 20 13:23:53 2012  commencing in-memory singleton removal
Tue Mar 20 13:23:54 2012  begin with 6054053 relations and 6074316 unique ideals
Tue Mar 20 13:24:03 2012  reduce to 6050584 relations and 5915921 ideals in 7 passes
Tue Mar 20 13:24:03 2012  max relations containing the same ideal: 95
Tue Mar 20 13:24:05 2012  relations with 0 large ideals: 2895
Tue Mar 20 13:24:05 2012  relations with 1 large ideals: 605
Tue Mar 20 13:24:05 2012  relations with 2 large ideals: 11619
Tue Mar 20 13:24:05 2012  relations with 3 large ideals: 93820
Tue Mar 20 13:24:05 2012  relations with 4 large ideals: 407932
Tue Mar 20 13:24:05 2012  relations with 5 large ideals: 1049371
Tue Mar 20 13:24:05 2012  relations with 6 large ideals: 1698707
Tue Mar 20 13:24:05 2012  relations with 7+ large ideals: 2785635
Tue Mar 20 13:24:05 2012  commencing 2-way merge
Tue Mar 20 13:24:13 2012  reduce to 3693487 relation sets and 3558824 unique ideals
Tue Mar 20 13:24:13 2012  commencing full merge
Tue Mar 20 13:25:43 2012  memory use: 375.1 MB
Tue Mar 20 13:25:44 2012  found 1892683 cycles, need 1875024
Tue Mar 20 13:25:44 2012  weight of 1875024 cycles is about 131298032 (70.02/cycle)
Tue Mar 20 13:25:44 2012  distribution of cycle lengths:
Tue Mar 20 13:25:44 2012  1 relations: 244129
Tue Mar 20 13:25:44 2012  2 relations: 224722
Tue Mar 20 13:25:44 2012  3 relations: 221116
Tue Mar 20 13:25:44 2012  4 relations: 201875
Tue Mar 20 13:25:44 2012  5 relations: 180991
Tue Mar 20 13:25:44 2012  6 relations: 155385
Tue Mar 20 13:25:44 2012  7 relations: 135040
Tue Mar 20 13:25:44 2012  8 relations: 112358
Tue Mar 20 13:25:44 2012  9 relations: 91881
Tue Mar 20 13:25:44 2012  10+ relations: 307527
Tue Mar 20 13:25:44 2012  heaviest cycle: 22 relations
Tue Mar 20 13:25:45 2012  commencing cycle optimization
Tue Mar 20 13:25:49 2012  start with 10523132 relations
Tue Mar 20 13:26:12 2012  pruned 225912 relations
Tue Mar 20 13:26:12 2012  memory use: 281.0 MB
Tue Mar 20 13:26:12 2012  distribution of cycle lengths:
Tue Mar 20 13:26:12 2012  1 relations: 244129
Tue Mar 20 13:26:12 2012  2 relations: 229261
Tue Mar 20 13:26:12 2012  3 relations: 228107
Tue Mar 20 13:26:12 2012  4 relations: 206086
Tue Mar 20 13:26:12 2012  5 relations: 184277
Tue Mar 20 13:26:12 2012  6 relations: 157223
Tue Mar 20 13:26:12 2012  7 relations: 136005
Tue Mar 20 13:26:12 2012  8 relations: 111966
Tue Mar 20 13:26:12 2012  9 relations: 90676
Tue Mar 20 13:26:12 2012  10+ relations: 287294
Tue Mar 20 13:26:12 2012  heaviest cycle: 21 relations
Tue Mar 20 13:26:19 2012  RelProcTime: 856
Tue Mar 20 13:26:19 2012  elapsed time 00:14:18
Tue Mar 20 13:26:19 2012  
Tue Mar 20 13:26:19 2012  
Tue Mar 20 13:26:19 2012  Msieve v. 1.48
Tue Mar 20 13:26:19 2012  random seeds: a51ad800 3f7f92a0
Tue Mar 20 13:26:19 2012  factoring 2641394025715633590135735854583569868512422858579751515346652067957571437069263865141372613387583635359344103296222442283140798913509812566326505674388331864224060443 (166 digits)
Tue Mar 20 13:26:21 2012  searching for 15-digit factors
Tue Mar 20 13:26:22 2012  commencing number field sieve (166-digit input)
Tue Mar 20 13:26:22 2012  R0: -100000000000000000000000000000000000000
Tue Mar 20 13:26:22 2012  R1:  1
Tue Mar 20 13:26:22 2012  A0: -23
Tue Mar 20 13:26:22 2012  A1:  0
Tue Mar 20 13:26:22 2012  A2:  0
Tue Mar 20 13:26:22 2012  A3:  0
Tue Mar 20 13:26:22 2012  A4:  0
Tue Mar 20 13:26:22 2012  A5:  5000
Tue Mar 20 13:26:22 2012  skew 0.34, size 1.952e-013, alpha -1.132, combined = 3.055e-011 rroots = 1
Tue Mar 20 13:26:22 2012  
Tue Mar 20 13:26:22 2012  commencing linear algebra
Tue Mar 20 13:26:22 2012  read 1875024 cycles
Tue Mar 20 13:26:27 2012  cycles contain 5943180 unique relations
Tue Mar 20 13:27:18 2012  read 5943180 relations
Tue Mar 20 13:27:29 2012  using 20 quadratic characters above 268434278
Tue Mar 20 13:27:59 2012  building initial matrix
Tue Mar 20 13:29:27 2012  memory use: 677.3 MB
Tue Mar 20 13:29:34 2012  read 1875024 cycles
Tue Mar 20 13:29:35 2012  matrix is 1874843 x 1875024 (534.7 MB) with weight 168963612 (90.11/col)
Tue Mar 20 13:29:35 2012  sparse part has weight 127050144 (67.76/col)
Tue Mar 20 13:30:02 2012  filtering completed in 2 passes
Tue Mar 20 13:30:03 2012  matrix is 1872981 x 1873161 (534.6 MB) with weight 168903922 (90.17/col)
Tue Mar 20 13:30:03 2012  sparse part has weight 127031858 (67.82/col)
Tue Mar 20 13:37:43 2012  matrix starts at (0, 0)
Tue Mar 20 13:37:43 2012  matrix is 1872981 x 1873161 (534.6 MB) with weight 168903922 (90.17/col)
Tue Mar 20 13:37:43 2012  sparse part has weight 127031858 (67.82/col)
Tue Mar 20 13:37:43 2012  saving the first 48 matrix rows for later
Tue Mar 20 13:37:44 2012  matrix includes 64 packed rows
Tue Mar 20 13:37:44 2012  matrix is 1872933 x 1873161 (511.1 MB) with weight 135242213 (72.20/col)
Tue Mar 20 13:37:44 2012  sparse part has weight 122755651 (65.53/col)
Tue Mar 20 13:37:44 2012  using block size 65536 for processor cache size 6144 kB
Tue Mar 20 13:37:57 2012  commencing Lanczos iteration (8 threads)
Tue Mar 20 13:37:57 2012  memory use: 530.3 MB
Tue Mar 20 13:38:08 2012  linear algebra at 0.1%, ETA 3h25m
Tue Mar 20 13:38:12 2012  checkpointing every 520000 dimensions

Tue Mar 20 19:31:33 2012  Msieve v. 1.48
Tue Mar 20 19:31:33 2012  random seeds: 00f4cd30 abf33400
Tue Mar 20 19:31:33 2012  factoring 2641394025715633590135735854583569868512422858579751515346652067957571437069263865141372613387583635359344103296222442283140798913509812566326505674388331864224060443 (166 digits)
Tue Mar 20 19:31:35 2012  searching for 15-digit factors
Tue Mar 20 19:31:36 2012  commencing number field sieve (166-digit input)
Tue Mar 20 19:31:36 2012  R0: -100000000000000000000000000000000000000
Tue Mar 20 19:31:36 2012  R1:  1
Tue Mar 20 19:31:36 2012  A0: -23
Tue Mar 20 19:31:36 2012  A1:  0
Tue Mar 20 19:31:36 2012  A2:  0
Tue Mar 20 19:31:36 2012  A3:  0
Tue Mar 20 19:31:36 2012  A4:  0
Tue Mar 20 19:31:36 2012  A5:  5000
Tue Mar 20 19:31:36 2012  skew 0.34, size 1.952e-013, alpha -1.132, combined = 3.055e-011 rroots = 1
Tue Mar 20 19:31:36 2012  
Tue Mar 20 19:31:36 2012  commencing square root phase
Tue Mar 20 19:31:36 2012  reading relations for dependency 1
Tue Mar 20 19:31:37 2012  read 937402 cycles
Tue Mar 20 19:31:39 2012  cycles contain 2974716 unique relations
Tue Mar 20 19:32:10 2012  read 2974716 relations
Tue Mar 20 19:32:28 2012  multiplying 2974716 relations
Tue Mar 20 19:39:06 2012  multiply complete, coefficients have about 103.93 million bits
Tue Mar 20 19:39:07 2012  initial square root is modulo 28811831
Tue Mar 20 19:47:33 2012  reading relations for dependency 2
Tue Mar 20 19:47:34 2012  read 936431 cycles
Tue Mar 20 19:47:36 2012  cycles contain 2970486 unique relations
Tue Mar 20 19:48:04 2012  read 2970486 relations
Tue Mar 20 19:48:23 2012  multiplying 2970486 relations
Tue Mar 20 19:55:02 2012  multiply complete, coefficients have about 103.77 million bits
Tue Mar 20 19:55:03 2012  initial square root is modulo 28099991
Tue Mar 20 20:03:29 2012  reading relations for dependency 3
Tue Mar 20 20:03:30 2012  read 936078 cycles
Tue Mar 20 20:03:32 2012  cycles contain 2969630 unique relations
Tue Mar 20 20:04:00 2012  read 2969630 relations
Tue Mar 20 20:04:19 2012  multiplying 2969630 relations
Tue Mar 20 20:10:58 2012  multiply complete, coefficients have about 103.75 million bits
Tue Mar 20 20:10:59 2012  initial square root is modulo 27987781
Tue Mar 20 20:19:25 2012  sqrtTime: 2869
Tue Mar 20 20:19:25 2012  prp60 factor: 756100413936379983050246323928079479509898064307441210378091
Tue Mar 20 20:19:25 2012  prp106 factor: 3493443432948426504304123312587288337874457820639188837874045379843627963493908138533906553680868940857873
Tue Mar 20 20:19:25 2012  elapsed time 00:47:52

55773070530624993028366183671875871454227041015516068221619873060491472297515867438565962810516570179254648685428727593168914321409050853885709823868643264286272016419591964215997947551004473<191>

129336462421879849754069060926489<33>
431224648380284309612865232874969422125228889747146931488227823268960765271677558591003604362740223454092783275191554461980340501715000408162796413157813991457<159>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]

55773070530624993028366183671875871454227041015516068221619873060491472297515867438565962810516570179254648685428727593168914321409050853885709823868643264286272016419591964215997947551004473
=
129336462421879849754069060926489* 431224648380284309612865232874969422125228889747146931488227823268960765271677558591003604362740223454092783275191554461980340501715000408162796413157813991457

1003417880168266789725029283059206333921837159125988911216606982432236985676000804162728766780850538695470958329547052395441459195145060391898006656216121495913900050901910569<175>

115892513249116300366853248797233035782391767781<48>

8658176891991062394776406865172709249458087836266454898857021934770163251288497247766152229753580418264967516029756892087055349<127>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1614184487
Step 1 took 450012ms
Step 2 took 114191ms
********** Factor found in step 2: 115892513249116300366853248797233035782391767781
Found probable prime factor of 48 digits: 115892513249116300366853248797233035782391767781

8658176891991062394776406865172709249458087836266454898857021934770163251288497247766152229753580418264967516029756892087055349<127>

600047023222779878976818247763254315771656874681293051<54>
14429163976998074349656610799686195870990221537540989579497266662410728399<74>

N = 8658176891991062394776406865172709249458087836266454898857021934770163251288497247766152229753580418264967516029756892087055349 (127 digits)
Divisors found:
r1=600047023222779878976818247763254315771656874681293051 (pp54)
r2=14429163976998074349656610799686195870990221537540989579497266662410728399 (pp74)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 19.77 hours.
Factorization parameters were as follows:
n: 8658176891991062394776406865172709249458087836266454898857021934770163251288497247766152229753580418264967516029756892087055349
Y0: -5910849721572046005723786
Y1: 38637411497471
c0: 1861189845841358641794041191055
c1: 257933141893525974244077452
c2: 920469387745478173533
c3: -2416032840178220
c4: -1851911156
c5: 1200
skew: 624881.73 
type: gnfs
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18912213
Relations: 2311326 relations
Pruned matrix : 1270503 x 1270738
Polynomial selection time: 0.00 hours.
Total sieving time: 18.13 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.47 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,126,5,65,2000,1e-05,0.28,250,20,50000,3600,6100000,6100000,28,28,55,55,2.5,2.5,100000
total time: 19.77 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

42697656784112149463091543484705815643254277529471167154196008037502726207355182895560407709396833871077487085790996145604297864624466660124942665983175290828306544140728844835743088943<185>

62964716122813547478189355909<29>

678120373017004965696027723355266137898901427492400737189655707913532453650073593892558088509716301805095025038393270924775790361244152143461824320103726627<156>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=4142540439
Step 1 took 28271ms
Step 2 took 22285ms
********** Factor found in step 2: 62964716122813547478189355909
Found probable prime factor of 29 digits: 62964716122813547478189355909
Composite cofactor 678120373017004965696027723355266137898901427492400737189655707913532453650073593892558088509716301805095025038393270924775790361244152143461824320103726627 has 156 digits

GMP-ECM 6.2.1

678120373017004965696027723355266137898901427492400737189655707913532453650073593892558088509716301805095025038393270924775790361244152143461824320103726627<156>

119356565544646731891786102577789<33>

5681466871324695058688910174023721450274408912155790860885985665340075745372042729625565314195995410292414361378012735405343<124>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1835940152
Step 1 took 26831ms
Step 2 took 19191ms
********** Factor found in step 2: 119356565544646731891786102577789
Found probable prime factor of 33 digits: 119356565544646731891786102577789
Composite cofactor 5681466871324695058688910174023721450274408912155790860885985665340075745372042729625565314195995410292414361378012735405343 has 124 digits

GMP-ECM 6.2.1

5681466871324695058688910174023721450274408912155790860885985665340075745372042729625565314195995410292414361378012735405343<124>

396488530126012349110486416962263561871273<42>
14329460853556106742975766217842853536031643858403149301167495308116549583366771591<83>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 5681466871324695058688910174023721450274408912155790860885985665340075745372042729625565314195995410292414361378012735405343 (124 digits)
Using B1=2792000, B2=4281592780, polynomial Dickson(6), sigma=1355242905
Step 1 took 24297ms
Step 2 took 11016ms
********** Factor found in step 2: 396488530126012349110486416962263561871273
Found probable prime factor of 42 digits: 396488530126012349110486416962263561871273
Probable prime cofactor 14329460853556106742975766217842853536031643858403149301167495308116549583366771591 has 83 digits

1648271169388862731941891235732784535672931381905839004531566345519986740360582709947982611814951380175473284494571461<118>

15858988068329679345878746056908033966491<41>
103932934578622459308779680198050058529802658072383622797509303406164951216671<78>

Factor=15858988068329679345878746056908033966491  Method=ECM  B1=11000000  Sigma=2586103513
Factor=103932934578622459308779680198050058529802658072383622797509303406164951216671  Method=ECM  B1=11000000  Sigma=2586103513

GMP-ECM

Win32, using ECMnet client/server distributed operation

348851831673580776572537860495764029947359918160837597002764483351302064354296157419161615828075806378239008950289153058125660549304729049975406553666747515982947725603497234401707<180>

477785438337677270135087342801007067249804112266386634720427610956899<69>
730143289605716245648799169583744778914629555705934410312363260011021940380577383877511454730000198066898899993<111>

N=348851831673580776572537860495764029947359918160837597002764483351302064354296157419161615828075806378239008950289153058125660549304729049975406553666747515982947725603497234401707
  ( 180 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=477785438337677270135087342801007067249804112266386634720427610956899 (pp69)
 r2=730143289605716245648799169583744778914629555705934410312363260011021940380577383877511454730000198066898899993 (pp111)
Version: Msieve-1.40
Total time: 536.71 hours.
Scaled time: 1050.34 units (timescale=1.957).
Factorization parameters were as follows:
n: 348851831673580776572537860495764029947359918160837597002764483351302064354296157419161615828075806378239008950289153058125660549304729049975406553666747515982947725603497234401707
m: 10000000000000000000000000000000000000000
deg: 5
c5: 5
c0: -23
skew: 1.36
# Murphy_E = 1.745e-11
type: snfs
lss: 1
rlim: 15500000
alim: 15500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 600000
Factor base limits: 15500000/15500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7750000, 15550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2943954 x 2944182
Total sieving time: 524.40 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 10.96 hours.
Time per square root: 0.99 hours.
Prototype def-par.txt line would be:
snfs,200.000,5,0,0,0,0,0,0,0,0,15500000,15500000,29,29,56,56,2.6,2.6,100000
total time: 536.71 hours.
 --------- CPU info (if available) ----------

28774428177789611670523336606534172444263951779336779520976882788052215467643119701169962536303152056913210914887403911404537096906182729426894321742981037035758290057790577<173>

20077152806508645702068475813948811611217212747092604401917281117174668294360341943<83>
1433192667062904874530232433996593643827089570645479966839108144613975744809757243622223639<91>

Number: n
N=28774428177789611670523336606534172444263951779336779520976882788052215467643119701169962536303152056913210914887403911404537096906182729426894321742981037035758290057790577  ( 173 digits)
SNFS difficulty: 201 digits.
Divisors found:

Thu Nov 18 15:55:36 2021  p83 factor: 20077152806508645702068475813948811611217212747092604401917281117174668294360341943
Thu Nov 18 15:55:36 2021  p91 factor: 1433192667062904874530232433996593643827089570645479966839108144613975744809757243622223639
Thu Nov 18 15:55:36 2021  elapsed time 00:02:51 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.354).
Factorization parameters were as follows:
#
# N = 5x10^201-23 = 5(200)3
#
n: 28774428177789611670523336606534172444263951779336779520976882788052215467643119701169962536303152056913210914887403911404537096906182729426894321742981037035758290057790577
m: 10000000000000000000000000000000000000000
deg: 5
c5: 50
c0: -23
skew: 0.86
# Murphy_E = 1.343e-11
type: snfs
lss: 1
rlim: 16100000
alim: 16100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16100000/16100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10290238 hash collisions in 68534686 relations (60987676 unique)
Msieve: matrix is 1983449 x 1983678 (676.2 MB)

Sieving start time : 2021/11/18 02:04:44
Sieving end time  : 2021/11/18 13:33:00

Total sieving time: 11hrs 28min 16secs.

Total relation processing time: 0hrs 8min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 50sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16100000,16100000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117806] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239948K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487288K reserved, 0K cma-reserved)
[    0.152615] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798284)
[    0.150213] smpboot: Total of 16 processors activated (102386.27 BogoMIPS)

93175623098198948066801653520427345567447716148303102306935227049168513478660923529204949607221954765235704709204847016366233693904531783295920661653<149>

391672315855894182652549581434189855058787409851274401<54>
237891776687327926915738909049963376458059164119023121548221060593858836818431131904024738158453<96>

93175623098198948066801653520427345567447716148303102306935227049168513478660923529204949607221954765235704709204847016366233693904531783295920661653=391672315855894182652549581434189855058787409851274401*237891776687327926915738909049963376458059164119023121548221060593858836818431131904024738158453

cado polynomial
n: 93175623098198948066801653520427345567447716148303102306935227049168513478660923529204949607221954765235704709204847016366233693904531783295920661653
skew: 0.54
type: snfs
c0: -23
c5: 500
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 500*x^5-23
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16700000
tasks.lim1 = 16700000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 391672315855894182652549581434189855058787409851274401 237891776687327926915738909049963376458059164119023121548221060593858836818431131904024738158453
Info:Square Root: Total cpu/real time for sqrt: 1257.33/394.925
Info:Filtering - Singleton removal: Total cpu/real time for purge: 639.03/751.076
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 50605451
Info:Lattice Sieving: Average J: 1893.85 for 5852618 special-q, max bucket fill -bkmult 1.0,1s:1.150830
Info:Lattice Sieving: Total time: 1.64302e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 303778/77801.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 196543.13, WCT time 50154.02, iteration CPU time 0.38, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (124416 iterations)
Info:Linear Algebra: Lingen CPU time 885.13, WCT time 224.73
Info:Linear Algebra: Mksol: CPU time 104718.51,  WCT time 26791.65, iteration CPU time 0.41, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (62464 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 234.43/61.4117
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 218.32/265.321
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 264.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 914.98/922.803
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 752.6s
Info:Filtering - Merging: Merged matrix has 3971250 rows and total weight 677165445 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1157.33/318.43
Info:Filtering - Merging: Total cpu/real time for replay: 161.88/145.461
Info:Generate Factor Base: Total cpu/real time for makefb: 7.06/3.21154
Info:Quadratic Characters: Total cpu/real time for characters: 143.87/60.8806
Info:Square Root: Total cpu/real time for sqrt: 1257.33/394.925
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.41021e+06/822232
Info:root: Cleaning up computation data in /tmp/cado.16x9ldat
391672315855894182652549581434189855058787409851274401 237891776687327926915738909049963376458059164119023121548221060593858836818431131904024738158453

cado-nfs-3.0.0

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

575675136062020050863286009456765443319934324805644757728210462997299667465113036857000458043687723715646648602726640174638416971832388949035732043798041807540093795573953721808311817034043<189>

2263770172511641398249536441297271653486599925211311677844985360290354861<73>
254299284906343402937967164420053457635373586823801995380412479873637734899838268760530231224310091632117881576649863<117>

Number: n
N=575675136062020050863286009456765443319934324805644757728210462997299667465113036857000458043687723715646648602726640174638416971832388949035732043798041807540093795573953721808311817034043
  ( 189 digits)
SNFS difficulty: 204 digits.
Divisors found:

Wed May 26 06:18:17 2021  p73 factor: 2263770172511641398249536441297271653486599925211311677844985360290354861
Wed May 26 06:18:17 2021  p117 factor: 254299284906343402937967164420053457635373586823801995380412479873637734899838268760530231224310091632117881576649863
Wed May 26 06:18:17 2021  elapsed time 01:40:15 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 5x10^203-23 = 5(202)3
#
n: 575675136062020050863286009456765443319934324805644757728210462997299667465113036857000458043687723715646648602726640174638416971832388949035732043798041807540093795573953721808311817034043
m: 50000000000000000000000000000000000000000
deg: 5
c5: 8
c0: -115
skew: 1.70
# Murphy_E = 1.334e-11
type: snfs
lss: 1
rlim: 17900000
alim: 17900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17900000/17900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9969331 hash collisions in 74864569 relations (66687041 unique)
Msieve: matrix is 1967037 x 1967272 (672.4 MB)

Sieving start time : 2021/05/25 16:22:37
Sieving end time  : 2021/05/26 04:36:05

Total sieving time: 12hrs 13min 28secs.

Total relation processing time: 1hrs 13min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 55sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17900000,17900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117662] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241088K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486148K reserved, 0K cma-reserved)
[    0.152608] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.07 BogoMIPS (lpj=12798140)
[    0.150211] smpboot: Total of 16 processors activated (102385.12 BogoMIPS)

37416907876530327842223834463806812881102642367457123724164124603264099291099791454053499139493247973092412816707408970497<122>

1130269372165675990785527421687727<34>
33104416343545510905988103708059321591739558472882728125632238343926915359873578099346511<89>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3675569780
Step 1 took 4384ms
Step 2 took 3666ms
********** Factor found in step 2: 1130269372165675990785527421687727
Found probable prime factor of 34 digits: 1130269372165675990785527421687727Probable prime cofactor 33104416343545510905988103708059321591739558472882728125632238343926915359873578099346511 has 89 digits

1222673644039953847745719629654566880798683089815532474487335964274659191574267379262701626590025367393717111078722072966506526092431747164521591662396299196884107405721424637626983<181>

162368796946245517767653480006239448754889821233867459<54>
7530225431458590020264942373208540927067986821089510644686433866847773537212724091653036580722822496078055687155779434178609037<127>

Number: n
N=1222673644039953847745719629654566880798683089815532474487335964274659191574267379262701626590025367393717111078722072966506526092431747164521591662396299196884107405721424637626983  ( 181 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sun Oct 31 09:38:17 2021  p54 factor: 162368796946245517767653480006239448754889821233867459
Sun Oct 31 09:38:17 2021  p127 factor: 7530225431458590020264942373208540927067986821089510644686433866847773537212724091653036580722822496078055687155779434178609037
Sun Oct 31 09:38:17 2021  elapsed time 01:58:17 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 5x10^205-23 = 5(204)3
#
n: 1222673644039953847745719629654566880798683089815532474487335964274659191574267379262701626590025367393717111078722072966506526092431747164521591662396299196884107405721424637626983
m: 100000000000000000000000000000000000000000
deg: 5
c5: 5
c0: -23
skew: 1.36
# Murphy_E = 1.076e-11
type: snfs
lss: 1
rlim: 18800000
alim: 18800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18800000/18800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8989415 hash collisions in 62739510 relations (56235782 unique)
Msieve: matrix is 2222067 x 2222292 (769.3 MB)

Sieving start time : 2021/10/30 17:59:32
Sieving end time  : 2021/10/31 07:35:33

Total sieving time: 13hrs 36min 1secs.

Total relation processing time: 1hrs 37min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 42sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18800000,18800000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

69531358642747879293561396189681546377416214712835488805451258517591433736615213461271033235989431233486302322347378667779168404950632735363649005701571408705326102072034487553886802948129606452510082047<203>

1369862943230725151329396538454319123<37>

50757894420271763218492042556692042705000408068863157387191903768295229755784156319952689346877654837252770155612245808405903158467498126725086342395389191446650978789<167>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2984334214
Step 1 took 37509ms
Step 2 took 13093ms
********** Factor found in step 2: 1369862943230725151329396538454319123
Found probable prime factor of 37 digits: 1369862943230725151329396538454319123

50757894420271763218492042556692042705000408068863157387191903768295229755784156319952689346877654837252770155612245808405903158467498126725086342395389191446650978789<167>

6018847151742850211905457698247893425297415453471280909<55>
8433158899138023540620555859277185038629378690167071294922707687708573493856812225761076874623966305117002123321<112>

Number: n
N=50757894420271763218492042556692042705000408068863157387191903768295229755784156319952689346877654837252770155612245808405903158467498126725086342395389191446650978789  ( 167 digits)
SNFS difficulty: 206 digits.
Divisors found:

Tue Apr  2 04:37:52 2024  prp55 factor: 6018847151742850211905457698247893425297415453471280909
Tue Apr  2 04:37:52 2024  prp112 factor: 8433158899138023540620555859277185038629378690167071294922707687708573493856812225761076874623966305117002123321
Tue Apr  2 04:37:52 2024  elapsed time 03:42:55 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.099).
Factorization parameters were as follows:
#
# N = 5x10^206-23 = 5(205)3
#
n: 50757894420271763218492042556692042705000408068863157387191903768295229755784156319952689346877654837252770155612245808405903158467498126725086342395389191446650978789
m: 100000000000000000000000000000000000000000
deg: 5
c5: 50
c0: -23
skew: 0.86
# Murphy_E = 8.276e-12
type: snfs
lss: 1
rlim: 19500000
alim: 19500000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19500000/19500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 71350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3486226 hash collisions in 19702026 relations (16614658 unique)
Msieve: matrix is 2614783 x 2615008 (734.2 MB)

Sieving start time: 2024/03/31 18:09:09
Sieving end time  : 2024/04/02 00:54:34

Total sieving time: 30hrs 45min 25secs.

Total relation processing time: 3hrs 31min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 50sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19500000,19500000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

7297951894665327437238315834916753288681507162076120042628190204209143568328667493435428429500165212838348027612916704679193531632749254679619046328959057754434573943212161<172>

242662321147764532509516779<27>
30074516143037223397004040301317202554504928182678860700253150959015955921569107652743376095751813775899467206418582452152841399124538976534881859<146>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2826115261
Step 1 took 6427ms
Step 2 took 4727ms
********** Factor found in step 2: 242662321147764532509516779
Found probable prime factor of 27 digits: 242662321147764532509516779
Probable prime cofactor 30074516143037223397004040301317202554504928182678860700253150959015955921569107652743376095751813775899467206418582452152841399124538976534881859 has 146 digits

GMP-ECM 6.3

10134527748235629391670918101057051513196472616810060099776452586929418486878522888526883557721912207018403694319131008837510887016433542124874002483770060537588051310708608207062184854191508927809529253213<206>

29316181324101471284373679301872932796088407<44>
345697402952812730808195175756367026391825891329275699399341164672700402055673192977051593949649079344327944427894901136080982682741134661775457723521185502199659<162>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1187726232
Step 1 took 414921ms
Step 2 took 106180ms
********** Factor found in step 2: 29316181324101471284373679301872932796088407
Found probable prime factor of 44 digits: 29316181324101471284373679301872932796088407

7094198806262118222319833830853798258750259189064679488286949160873543021916996445365078074704651613354141678152253761854692085221328808875900292879225773893263029032803280294944809107<184>

8070793969841411957625551234390813271759227156290793562893788883806317687413666451373194720717883571922109608811476512964722258585019408430798429874104051416231058038797343810775977813604607241738833<199>

39827100699987398983819185121<29>

202645782092894487305842920267622018460735687176158577657785175971638318273181567830501748372945199695987097835151012503327848460146988178203165801901849570220101709225073<171>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2577405625
Step 1 took 9937ms
Step 2 took 5772ms
********** Factor found in step 2: 39827100699987398983819185121
Found probable prime factor of 29 digits: 39827100699987398983819185121
Composite cofactor 202645782092894487305842920267622018460735687176158577657785175971638318273181567830501748372945199695987097835151012503327848460146988178203165801901849570220101709225073 has 171 digits

GMP-ECM 6.3

202645782092894487305842920267622018460735687176158577657785175971638318273181567830501748372945199695987097835151012503327848460146988178203165801901849570220101709225073<171>

591934356857034072470597<24>
342345024824835706089961006924312278972289891809179616140749594124606392454832507071863850877934366117401572922407351383201869852103203352434690109<147>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3877622592
Step 1 took 27527ms
********** Factor found in step 1: 591934356857034072470597
Found probable prime factor of 24 digits: 591934356857034072470597

My smallest factor in near-repdigits =)

328715569511659801527344657107782846830451135183572671916784075759125945735433766889218874925312820940060369783766158726361939974218783083146723360125705417970905919063390530172595293<183>

112753369873008022370875153<27>

2915350289591219315965238331885580631185199876480323324009991339766329143453147794614631548158760064755754235749232760843024562744161438352962298842105354381<157>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2869683717
Step 1 took 8783ms
Step 2 took 5210ms
********** Factor found in step 2: 112753369873008022370875153
Found probable prime factor of 27 digits: 112753369873008022370875153
Composite cofactor 2915350289591219315965238331885580631185199876480323324009991339766329143453147794614631548158760064755754235749232760843024562744161438352962298842105354381 has 157 digits

GMP-ECM 6.3

42037206422421653581535378487265503547154223265001060238528482124991631099235872498620974864265945484741162848494461775539163396354763285461883332213575563714079331096613324209930349147918584191<194>

15562986597584459719324043268805965882596276630429303001803079808762187999210369379457924031495873583885488500509184848521650054661099<134>

56505108259647815446266662104622974162641706477663<50>
275426188479644204270748900497327860451814866803563768919591908621960099396362665973<84>

Number: 553-134
N=15562986597584459719324043268805965882596276630429303001803079808762187999210369379457924031495873583885488500509184848521650054661099
  ( 134 digits)
Divisors found:
 r1=56505108259647815446266662104622974162641706477663 (pp50)
 r2=275426188479644204270748900497327860451814866803563768919591908621960099396362665973 (pp84)
Version: Msieve-1.40
Total time: 168.90 hours.
Scaled time: 332.56 units (timescale=1.969).
Factorization parameters were as follows:
# Murphy_E = 5.519e-11, selected by Erik Branger
n: 15562986597584459719324043268805965882596276630429303001803079808762187999210369379457924031495873583885488500509184848521650054661099
Y0: -116668154518780796131562667
Y1: 76242008193827
c0: -5268293807297310002872799399274680
c1: 14427364010351748256144942838
c2: 14165590175110661228612
c3: -51854366820486419
c4: -3028494894
c5: 720
skew: 2170764.02
type: gnfs
# selected mechanically
rlim: 11900000
alim: 11900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
qintsize: 400000Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [5950000, 12750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1543695 x 1543923
Total sieving time: 165.55 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.60 hours.
Time per square root: 0.54 hours.
Prototype def-par.txt line would be:
gnfs,133,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,11900000,11900000,28,28,54,54,2.6,2.6,100000
total time: 168.90 hours.
 --------- CPU info (if available) ----------

26401694890249311751540892199037920679828630155647797219127737093697192421742374138704533463017339707009047447936715641325957110634777211261234811104159912657006186461770251319764219851533<188>

129805350142174355030946406665298692610459739<45>

203394504628136122580439057906733308906297560929467602735796465250962559082413060533725962829395820212950842457405752542383543795404732567064247<144>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=41397368
Step 1 took 32467ms
Step 2 took 11667ms
********** Factor found in step 2: 129805350142174355030946406665298692610459739
Found probable prime factor of 45 digits: 129805350142174355030946406665298692610459739

203394504628136122580439057906733308906297560929467602735796465250962559082413060533725962829395820212950842457405752542383543795404732567064247<144>

1300734178101974981837270871844024892267341373<46>
156369001485705864564452169252423651440918265812960867362380868202630541772209893368202644246055939<99>

Number: 1
N=203394504628136122580439057906733308906297560929467602735796465250962559082413060533725962829395820212950842457405752542383543795404732567064247
  ( 144 digits)
Divisors found:
 r1=1300734178101974981837270871844024892267341373 (pp46)
 r2=156369001485705864564452169252423651440918265812960867362380868202630541772209893368202644246055939 (pp99)
Version: Msieve v. 1.52 (SVN 927)
Total time: 606.20 hours.
Scaled time: 3255.88 units (timescale=5.371).
Factorization parameters were as follows:
# Murphy_E = 1.485e-11, selected by Dmitry Domanov
n: 203394504628136122580439057906733308906297560929467602735796465250962559082413060533725962829395820212950842457405752542383543795404732567064247
Y0: -7397750359036282671105044593
Y1: 1959407254812541
c0: -128574999230149776386437310809082880
c1: 605366681767091740006871986536
c2: 1132023738871809840614990
c3: -370876209200055430
c4: -145645529601
c5: 9180
skew: 2660574.26
type: gnfs
# selected mechanically
rlim: 22000000
alim: 22000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [11000000, 20000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2765219 x 2765447
Total sieving time: 602.57 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 3.37 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,143,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,22000000,22000000,28,28,56,56,2.6,2.6,100000
total time: 606.20 hours.
 --------- CPU info (if available) ----------

3202828031712696670918066925931991578544904730238118750313282942206256803912820236984936064926946227510706956881125541652014818783284185267844944506856644914334361206965193000731282499855512553032615765899<205>

20318776151649322238317268657861776434369299<44>

157628983547452275217368690983982954609964649677363664126080165540732342793114806388672141408117749786358352939220335514024766657393137240748350923848037920223401<162>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2836638858
Step 1 took 414580ms
Step 2 took 104561ms
********** Factor found in step 2: 20318776151649322238317268657861776434369299
Found probable prime factor of 44 digits: 20318776151649322238317268657861776434369299

157628983547452275217368690983982954609964649677363664126080165540732342793114806388672141408117749786358352939220335514024766657393137240748350923848037920223401<162>

10855665539524111795019237324670379561374433841801165343531021323803<68>
14520434788041782177473949317256635929053860076947579164573792284508969026357104581537204656267<95>

Number: 55553_220
N = 157628983547452275217368690983982954609964649677363664126080165540732342793114806388672141408117749786358352939220335514024766657393137240748350923848037920223401 (162 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=10855665539524111795019237324670379561374433841801165343531021323803 (pp68)
r2=14520434788041782177473949317256635929053860076947579164573792284508969026357104581537204656267 (pp95)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 79.72 hours.
Factorization parameters were as follows:
n: 157628983547452275217368690983982954609964649677363664126080165540732342793114806388672141408117749786358352939220335514024766657393137240748350923848037920223401
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 5
c0: -23
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 24810757
Relations: 9205034 relations
Total pre-computation time approximately 800 CPU-days.
Pre-computation saved approximately 14 G rational relations.
Total batch smoothness checking time: 44.70 hours.
Total relation processing time: 0.23 hours.
Pruned matrix : 7653162 x 7653387
Matrix solve time: 34.62 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,67108864,29,26,58,52,2.8,2.8,100000
total time: 79.72 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

1188393686617712248306791570054373206801388561305261757097315635843112624835916250368091879262969812735396343256176300170265132445299343802115784438683643681929616997153061293026525351<184>

211306863664202491426638978891049867224238632220706314115938121571575729453533059936310588397471935642934957288346783863742306123455336585189837607587747419448717051051218737997234473388694975731369<198>

24393568825084460480347447223273203752395765253481846137391748485882873437426502697170398371124291389188456760605346777376057909131823597839786490475238789621569987599150898294510418070903219442438459<200>

18151797478212288925685051<26>
1343865193205477696230185037135990875505453134487419548025526267871619063502772067058325938172238016425266919506970972101196995460610412009320596901421996284329175392350123009<175>

Using B1=250000, B2=258157000, polynomial Dickson(3), sigma=2959662438
Step 1 took 1284ms
Step 2 took 1156ms
********** Factor found in step 2: 18151797478212288925685051
Found probable prime factor of 26 digits: 18151797478212288925685051
Probable prime cofactor ((10^225*5-23)/9/7/59/11821/86186827/54126131777)/18151797478212288925685051 has 175 digits

1245651799741713624495324223380343983718321310930029690861133450076830690224159324362522080993059041013376172661712682649045950533044130943478895693638078824171309090284655651976726621<184>

391930442069235844024706152321157851641197883134893941995366978531850232290739985739092937070268161377904879108502204357228211958278820852104448563839028656458051806748988163813330295033299897502990969237517960486477<216>

16945780619246272012992668916388501677801739111573392006404149411625551119150189436881542554074833245045816307060256145641528278949239591986272562035960979967714898764212002560846367180496626603452126644630373549398814540971<224>

57732543658691061657011303756970007<35>
293522154842648317428785131197730767854898568092398336696548116646831882431927434980000958896906523210792437968874683538992064093124713099750173276169939111609870422465854789234887909875853<189>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1383552357
Step 1 took 42078ms
Step 2 took 14523ms
********** Factor found in step 2: 57732543658691061657011303756970007
Found probable prime factor of 35 digits: 57732543658691061657011303756970007

1211608257441219756864413287899835140698821671643823869979553380635592051753850838646236919432522764667616282046886811036773289447716327201691335227345044271884771676509324293918900065750934472623425738647511<208>

24001978099540147367475750073542221<35>

50479516830507936159123257562905365050329905677164093957324155960794668443913441177162261403884490173682122453767755713759030056799783867645701396082476102757562878190477491<173>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2508615666
Step 1 took 37442ms
Step 2 took 13099ms
********** Factor found in step 2: 24001978099540147367475750073542221
Found probable prime factor of 35 digits: 24001978099540147367475750073542221

50479516830507936159123257562905365050329905677164093957324155960794668443913441177162261403884490173682122453767755713759030056799783867645701396082476102757562878190477491<173>

11326387199727616495505737561014857273654811317<47>

4456806565090931797755930657884447477840319824305314609915053885115678693593491759382032432807634722775582748904510322206631623<127>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3875362368
Step 1 took 295417ms
Step 2 took 83857ms
********** Factor found in step 2: 11326387199727616495505737561014857273654811317
Found probable prime factor of 47 digits: 11326387199727616495505737561014857273654811317

4456806565090931797755930657884447477840319824305314609915053885115678693593491759382032432807634722775582748904510322206631623<127>

15687203108874968132147806884275498663471095181<47>
284104600046232111710788159811290280097205916496979393905036309120864970240683683<81>

N=4456806565090931797755930657884447477840319824305314609915053885115678693593491759382032432807634722775582748904510322206631623
  ( 127 digits)
Divisors found:
 r1=15687203108874968132147806884275498663471095181 (pp47)
 r2=284104600046232111710788159811290280097205916496979393905036309120864970240683683 (pp81)
Version: Msieve-1.40
Total time: 98.84 hours.
Scaled time: 165.55 units (timescale=1.675).
Factorization parameters were as follows:
n: 4456806565090931797755930657884447477840319824305314609915053885115678693593491759382032432807634722775582748904510322206631623
skew: 312122.23
c0:  3595409398484936293145956887465
c1: -10830522711043397240937459
c2:  1687514597831731435367
c3:  4915633516671565
c4: -16789496746
c5:  14760
Y0: -3133212120550968406950644
Y1:  73329268886987
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.500000
alambda: 2.500000
type: gnfs
qintsize: 240000Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2850000, 7410001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 753750 x 753975
Total sieving time: 97.70 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.75 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
gnfs,126,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5700000,5700000,27,27,54,54,2.500000,2.500000,100000
total time: 98.84 hours.
 --------- CPU info (if available) ----------

79365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079<230>

17637464501622367290316080153257577881778670674803145256107962439483641<71>
4499800941216864545320634253254600498745253854296729714083395302825893660127225173350172127238949190932428534900007383370161479858849035612400688954895855939919<160>

Number: n
N=79365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079
  ( 230 digits)
SNFS difficulty: 233 digits.
Divisors found:

Sat Jan  5 02:02:05 2019  p71 factor: 17637464501622367290316080153257577881778670674803145256107962439483641
Sat Jan  5 02:02:05 2019  p160 factor: 4499800941216864545320634253254600498745253854296729714083395302825893660127225173350172127238949190932428534900007383370161479858849035612400688954895855939919
Sat Jan  5 02:02:05 2019  elapsed time 26:13:35 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.120).
Factorization parameters were as follows:
#
# N = 5x10^231-23 = 5(230)3
#
n: 79365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079
m: 500000000000000000000000000000000000000
deg: 6
c6: 8
c0: -575
skew: 2.04
# Murphy_E = 1.053e-12
type: snfs
lss: 1
rlim: 54000000
alim: 54000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
Factor base limits: 54000000/54000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved  special-q in [100000, 95800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 17807717 hash collisions in 106757486 relations (91601019 unique)
Msieve: matrix is 7131397 x 7131621 (2525.4 MB)

Sieving start time: 2019/01/01 22:00:27
Sieving end time  : 2019/01/03 23:45:11

Total sieving time: 49hrs 44min 44secs.

Total relation processing time: 25hrs 19min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 58sec.

Prototype def-par.txt line would be:
snfs,233,6,0,0,0,0,0,0,0,0,54000000,54000000,30,30,60,60,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285120K/16703460K available (12300K kernel code, 2472K rwdata, 4252K rodata, 2408K init, 2416K bss, 418340K reserved, 0K cma-reserved)
[    0.080545] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.82 BogoMIPS (lpj=11977644)
[    0.078213] smpboot: Total of 16 processors activated (95821.15 BogoMIPS)

34508672422213654032893001242245441751972630354417331443267284176544762775904439056258607291862169357074280659385008182648492402821507074311488840313005288806587688001810889360699563641552359325740574022480559<209>

1126868192509304030685802134458648153107<40>

30623521589840891571987286721538683502553890435566412589037760519101519286697920402776031406768333321394270159905228539260422767705190945899239555541615672430532004190837<170>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3393123474
Step 1 took 37226ms
Step 2 took 13006ms
********** Factor found in step 2: 1126868192509304030685802134458648153107
Found probable prime factor of 40 digits: 1126868192509304030685802134458648153107

9595087315294569180579543273843791978507004413740165035501823066589905968144310113222030320475916330838610631356745346382652082133947418921512185760890424102859336019957781615812703895605450009595087315294569180579543273843791978507<232>

1786761505968115621791730478809469760855859<43>
5370099637385959818430321740327021369793239142417981450752411683145930975103994323109429845852551752507578385895796185255954124630804160459084692406219541530180617934042809426719902271331273<190>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2529730741
Step 1 took 522140ms
Step 2 took 123310ms
********** Factor found in step 2: 1786761505968115621791730478809469760855859
Found probable prime factor of 43 digits: 1786761505968115621791730478809469760855859

39294912007092022519238607714865127656234804202227419486874349603041779142800292704050475292930569825527226129295844067732049177124246704735940722791236215784216094354066329178082631280479289091171770978162049013<212>

3087747547214681173150753610184647209<37>

12726076664699548849242265748822549964784552369413724061805775266630404497637521677361193445254840771694323678242738797376726627882725449717605072141874696003999297619257630957<176>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3213107876
Step 1 took 37593ms
Step 2 took 13505ms
********** Factor found in step 2: 3087747547214681173150753610184647209
Found probable prime factor of 37 digits: 3087747547214681173150753610184647209

5359427711633689007865624156776150646448169128731084069858064650798446026217018201898896799841873335200624940136217740816360898836217667638956308214083491687047580075816180248959389483062436789051902500836786551268730630973<223>

203410113724271073670530002081268589956143174704296481446447371714576815319776906032785858505436434085759804874818763131829957740766255905275005862655845145031165085353087836456544958231350965883419409<201>

10975714747409298450167596292409183375951435458246128587446022079874626223401939965533071182781<95>
18532744190740186899274881457171054152075664348419784417912869083607668971046993830314333152290086643029989<107>

Number: 55553_240
N = 203410113724271073670530002081268589956143174704296481446447371714576815319776906032785858505436434085759804874818763131829957740766255905275005862655845145031165085353087836456544958231350965883419409 (201 digits)
SNFS difficulty: 241 digits.
Divisors found:
r1=10975714747409298450167596292409183375951435458246128587446022079874626223401939965533071182781 (pp95)
r2=18532744190740186899274881457171054152075664348419784417912869083607668971046993830314333152290086643029989 (pp107)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 93.28 hours.
Factorization parameters were as follows:
n: 203410113724271073670530002081268589956143174704296481446447371714576815319776906032785858505436434085759804874818763131829957740766255905275005862655845145031165085353087836456544958231350965883419409 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 5
c0: -23
skew: 1.00
type: snfs
lss: 1
rlim: 500000000
alim: 150000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 500000000/150000000
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 0
Relations: 14314180 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 21.44 hours.
Total relation processing time: 1.28 hours.
Pruned matrix : 12119306 x 12119531
Matrix solve time: 70.09 hours.
time per square root: 0.47 hours.
Prototype def-par.txt line would be: snfs,241,4,0,0,0,0,0,0,0,0,500000000,150000000,29,29,58,58,2.8,2.8,100000
total time: 93.28 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22631-SP0
processors: 16, speed: 3.79GHz

GGNFS; NFS_factory, Msieve

29226817217415845826682690701763009721895663686747730622839239848338748673847051497934268141040583685586771298602160654072928160715340520557239829810115630694101877650509543750906042293796347751569348417763666462507411285163062179707<233>

10230590832859120521682396004823455334160148837<47>
2856806385369621127130846215580463350227732375640955446450023446010532734610552138821226318404791510803399916315756762414455047324822629887467683367506889737603328114054406861011341852511<187>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3020074590
Step 1 took 515271ms
Step 2 took 122002ms
********** Factor found in step 2: 10230590832859120521682396004823455334160148837
Found probable prime factor of 47 digits: 10230590832859120521682396004823455334160148837

5398960054598417870623053222951638852168160323826787626237896837845257807662613935485542900518842498397909714532344108410046825242588936444164219470558644343874818001799114414098690045161650454625089672535955005227651792209<223>

165733363650504572500001799709253453893934338226708088997938694412480460916020160077563518598160609723649265676548201583816013403396325440196136341478513652198156609657618694461988763264820016844918725748097195982089<216>

25576857362682429234727569179633<32>

6479817332535763926687256304149017027190451424406088229394518430416864655478806651497091210941345057382302993447750749893724818463817534721873715254373923759984486943563203797489697433<184>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=840551015
Step 1 took 39946ms
Step 2 took 14046ms
********** Factor found in step 2: 25576857362682429234727569179633
Found probable prime factor of 32 digits: 25576857362682429234727569179633

1106262683517189762725516409101244000326500396250882729869466849278725666032434464322250146813714682100900553168089032620400974412293315112762774610427249622752918197791346042245829918111281071<193>

332757476103254029088863273473661<33>

3324531416910730802324561375006085541163054049535093936575357755158064716095472247725405562020782175482066668863500184043688401901185169961787000925042287622811<160>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1301389879 Step 1 took 31415ms Step 2 took 11687ms ********** Factor found in step 2: 332757476103254029088863273473661 Found probable prime factor of 33 digits: 33275747610325402908886327347

1385870109356889035988244017464323259460110335440622619729290603338764746203500131481873953661929882833260438589313232729640492279243907116355878712169335124394599956111340029750976282286692261223457269819696470243256772160884782457<232>

1923398204492565517102556055152664553852073208773<49>

720532080210874408880437047280663280708576050667092077005600192627637408429444060097314929406656672558976321962159360411255571382089185101001525269538492013009157433323408772562729509<183>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=512594190
Step 1 took 348711ms
Step 2 took 87097ms
********** Factor found in step 2: 1923398204492565517102556055152664553852073208773
Found probable prime factor of 49 digits: 1923398204492565517102556055152664553852073208773

1580425055604059938260041684423505788254521564678903786805625525115456324291164440765059249451916130687388542040773991761798324515921815453563015083940349508496243810628916444549676272995733551685743547885374883606937833414831186297603<235>

10610432170671269876187560922700913715817254259487382489885474494470304200341236634057958644112812034053547972342921352536175812767841964311820306710207135309834834046651785616186584707766964671498041647707177207778867984828709211817778223<239>

10602647515780277056115876119845913<35>

1000734218022376642839346294680777017507102689556466050010270003340160184294180736517389122386692171084798736198107607992522360455612832733999196214777470800141102403948808064780002801060811110738920276871<205>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=412873915
Step 1 took 46766ms
Step 2 took 15303ms
********** Factor found in step 2: 10602647515780277056115876119845913
Found probable prime factor of 35 digits: 10602647515780277056115876119845913

6120708178234799551200461431914469011906571678030052944153442598627271041823567419470397368291673105743647378410229353736146138547610668996981212176128862274615381193771848105098600798888910213261544230517200720223<214>

3417742864401403267366734154315052518817189<43>
1790862689521496259708482168775338683566066526790976373924612568988181835171417386925933904539047654056907177198385468821362503911888732604671336402305773802262749659229107<172>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3535053268
Step 1 took 337484ms
Step 2 took 87503ms
********** Factor found in step 2: 3417742864401403267366734154315052518817189
Found probable prime factor of 43 digits: 3417742864401403267366734154315052518817189

1497454327643006888289907157831686133572926025756214435459718478586403114705001497454327643006888289907157831686133572926025756214435459718478586403114705001497454327643006888289907157831686133572926025756214435459718478586403114705001497454327643<247>

1180474023354818978686371234853431313<37>
1268519508279693920819440447238133209187642998901461008178743336789378463186076266094795276968890804592840102068875822219708331037568836399750404826866053681615615854938830958049237537629293005810041698729866411<211>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=955880416
Step 1 took 48831ms
Step 2 took 16089ms
********** Factor found in step 2: 1180474023354818978686371234853431313
Found probable prime factor of 37 digits: 1180474023354818978686371234853431313

85208073717784155132494750426994775878512275423849501738872900110002648844982327113173912361600638510937120859812754045002983052019030004652538655662275716591401491517995090823566206702676293465267088161489283079737<215>

239053302404923710723219741619957809494327395973448117041000173499490726644713352932494900357236176706635841524682969773137592129759113878836139350430095739937768527545290983945329473051827124438965684403049954737985010125316257652695597<237>

818373970807629945891291025065416518250807<42>
292107656074409136269831312908009745154845319037317907235117408580136180701203131679979755462569131361764638995634488830635912503331045983129218096697941345956238362647117335913404388280159766971<195>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4229642828
Step 1 took 118684ms
Step 2 took 38302ms
********** Factor found in step 2: 818373970807629945891291025065416518250807
Found probable prime factor of 42 digits: 818373970807629945891291025065416518250807

375268271993243559968470959667250843085615327566055400143032987933577411526342364397929398548019415291895355335411594640185272874368900292030764401752276590535254129867<168>

239437865363964779222230428991956722359950845083194784262942186820245450626338597626725402577415349218945599804036752212631115854694131774383320798165501263890101619268024357715743399247057774499690735983815577472976819858940550623362673<237>

53298471415095563263773052014841<32>

4492396479801286082576821464217112086332105859957702057904203033645360042716897344087023970946375557189515909109955826167749913383530112424724919626794826414029223362515932481055102447917606806801607012153<205>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=701692224
Step 1 took 49325ms
Step 2 took 446ms
********** Factor found in step 2: 53298471415095563263773052014841
Found probable prime factor of 32 digits: 53298471415095563263773052014841

2029877443261290838704489763318538664772073338462538450625309321918477750248571862285717951910415087443503206084360216917597902430308658916813439166101538744956533180398054005466567931487545588859433768758261<208>

82061381913671426226817659609387822090924011160347940259313966847201706876743804365665517807319875266699491219432135237157393730510421795503036271130805842770392253405547349417364188412932873789594616773346463154439520761529624158870835384867881175118989<254>

144554772623413693390208633885693125383022975414486998164691951874327336468376813499870746220150400530230295789916775900984107286186958544541078710982178928954474121392518376108693615108786593699323356582477573339150787951901481<228>

2238915972673085564153773808160671208937614476886792467656209053997131423968547274460320765189343118606835475459039042182238010771269830509552918121885822866188706006630448335809322510491543158397309301557417<208>

220165239462212190001680066939822664489133527524485725888345416616001184925324889322494846595418072760060059750129423789679613638272657076066226201660414004544767661319527676678461186028930638676552159769872077723566022186311<225>

99798814211709635760757549315144599754015488667370807929234199762152769685732455890478222179300297277454533103800325303958433475303372781530347009014494911540096972673513398500135129576203427197484829088484110107166749<218>

38130792216308665788749880290750847363816849134366710009671027438244515116848710059110393961338702985939554401580976680887295038069003803850121975701068307094760471801245131088828707677652897864026606916293829780333676042646858955516679011163247569<248>

1624892496872948857327358181952121447623<40>

23466655357009831258124795673891883852832736192615763432020268504251113916892470054089436213946411003448315330904027817910019295910728767912013392706979190293507700921925688277821720862760122805702183906228903<209>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3:272794350
Step 1 took 348332ms
Step 2 took 93124ms
********** Factor found in step 2: 1624892496872948857327358181952121447623
Found prime factor of 40 digits: 1624892496872948857327358181952121447623

35307755520497219631890074148555011201625972820398390798750336559905902245904560845848616541191633999868826661101790850373067532834403996992159879423375403293597689023411654897161391044569284244198786714078654997648264164262649<227>

36755068738463237703781575099623619590995230365520072015923376082482635484760767881212280144246152326154198563254698538801294021620532734630724349825432870599169141806106589108173017799898251340166054594467588666492723009821339486527618732255097089963325011<257>

119586603278327920758246825159843044583696045927917165048320029638194529502607632581373680051743165936846802801484913664767034955563318910268555030686408655389118348430189256816836090125261311829825031267643342683773537129269460264042369847824122975689<252>

1592553900438163975901602414014143583882001831434148352660872275076251544882210924612626608143464070562328048434825874489634139226964091738267415796687925126245353033241810971209450618367590497468700791722729030002563488944732516476836409437402552053<250>