986501769751909411961170002152524580143175098932585822837399053431527946681209013531212654513345836260634733596897677783477061<126>

270934293156900183594932829079733518732282549735324741973<57>
3641110758838558932109472437657733441598489296771623913270689827230257<70>

Number: trial
N=986501769751909411961170002152524580143175098932585822837399053431527946681209013531212654513345836260634733596897677783477061
  ( 126 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=270934293156900183594932829079733518732282549735324741973 (pp57)
 r2=3641110758838558932109472437657733441598489296771623913270689827230257 (pp70)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 44.89 hours.
Scaled time: 24.11 units (timescale=0.537).
Factorization parameters were as follows:
n: 986501769751909411961170002152524580143175098932585822837399053431527946681209013531212654513345836260634733596897677783477061
m: 1000000000000000000000000000000
c5: 290
c0: 7
skew: 1
type: snfsFactor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2000001)
Primes: RFBsize:176302, AFBsize:176383, largePrimes:5285780 encountered
Relations: rels:5059326, finalFF:406032
Max relations in full relation-set: 0
Initial matrix: 352752 x 406032 with sparse part having weight 40051505.
Pruned matrix : 328838 x 330665 with weight 26384199.
Total sieving time: 34.60 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 9.43 hours.
Time per square root: 0.44 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 44.89 hours.
 --------- CPU info (if available) ----------

GGNFS-0.77.1-20060722-pentium4

Pentium 4 3.20 GHz, 1 Gig RAM, Windows XP and Cygwin

68557919621749408983451536643026004728132387706855791962174940898345153664302600472813238770685579196217494089834515366430260047281323877068557919621749409<155>

132991322100848707636379191275380420166513791<45>
515506715316065682586052266156769034918158527259325062152327432762009776789896785062695830891823340065597055199<111>

Number: 32223_156
N=68557919621749408983451536643026004728132387706855791962174940898345153664302600472813238770685579196217494089834515366430260047281323877068557919621749409
  ( 155 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=132991322100848707636379191275380420166513791 (pp45)
 r2=515506715316065682586052266156769034918158527259325062152327432762009776789896785062695830891823340065597055199 (pp111)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 55.91 hours.
Scaled time: 34.22 units (timescale=0.612).
Factorization parameters were as follows:
name: 32223_156
n: 68557919621749408983451536643026004728132387706855791962174940898345153664302600472813238770685579196217494089834515366430260047281323877068557919621749409
m: 10000000000000000000000000000000
c5: 290
c0: 7
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, 2800001)
Primes: RFBsize:216816, AFBsize:216531, largePrimes:5599595 encountered
Relations: rels:5525117, finalFF:486163
Max relations in full relation-set: 0
Initial matrix: 433414 x 486163 with sparse part having weight 34136603.
Pruned matrix : 403149 x 405380 with weight 26162517.
Total sieving time: 48.51 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 6.75 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 55.91 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin

178246506781412113310294463823584874541396179184968819439212220708712747355434245310443530401773459134403743276598581768969540379596590983<138>

79353768896243354879317921547141159657539357186424707<53>
2246226099411522565081310175327100561059317639528459166402607843175730179074495466669<85>

Number: n
N=178246506781412113310294463823584874541396179184968819439212220708712747355434245310443530401773459134403743276598581768969540379596590983
  ( 138 digits)
SNFS difficulty: 167 digits.
Divisors found:

Mon Sep 15 03:08:09 2008  prp53 factor: 79353768896243354879317921547141159657539357186424707
Mon Sep 15 03:08:09 2008  prp85 factor: 2246226099411522565081310175327100561059317639528459166402607843175730179074495466669
Mon Sep 15 03:08:09 2008  elapsed time 03:50:18 (Msieve 1.36)

Version: GGNFS-0.77.1-20050930-k8
Total time: 43.04 hours.
Scaled time: 36.20 units (timescale=0.841).
Factorization parameters were as follows:
name: KA_3_2_165_3
n: 178246506781412113310294463823584874541396179184968819439212220708712747355434245310443530401773459134403743276598581768969540379596590983
type: snfs
skew: 0.47
deg: 5
c5: 290
c0: 7
m: 1000000000000000000000000000000000
rlim: 5400000
alim: 5400000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 4900001)
Primes: RFBsize:374362, AFBsize:374497, largePrimes:14043887 encountered
Relations: rels:13214911, finalFF:755528
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 42.60 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,167,5,0,0,0,0,0,0,0,0,5400000,5400000,28,28,52,52,2.5,2.5,100000
total time: 43.04 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
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

197953152120328431037173014925278589539285813286668812888393896793055863492161591014739871571680928542809713866978034688204570302785523718750100043133991847019565123<165>

9589733359425817076200622132279045714657<40>
20642195637875465109091115889554275724787712865926398073936739639918145829101307921345461505744380337731802369225974101445539<125>

Number: 32223_171
N=197953152120328431037173014925278589539285813286668812888393896793055863492161591014739871571680928542809713866978034688204570302785523718750100043133991847019565123
  ( 165 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=9589733359425817076200622132279045714657 (pp40)
 r2=20642195637875465109091115889554275724787712865926398073936739639918145829101307921345461505744380337731802369225974101445539 (pp125)
Version: Msieve-1.40
Total time: 55.68 hours.
Scaled time: 96.82 units (timescale=1.739).
Factorization parameters were as follows:
n: 197953152120328431037173014925278589539285813286668812888393896793055863492161591014739871571680928542809713866978034688204570302785523718750100043133991847019565123
m: 20000000000000000000000000000000000
deg: 5
c5: 145
c0: 112
skew: 0.95
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 5550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1008999 x 1009224
Total sieving time: 54.12 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.32 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 55.68 hours.

GGNFS, Msieve

2709384215309372182203342926445773798350915817053389492870399005201706301126274267157054751695454904962062248177824132837491095428617734300887489097<148>

726255131898247114878077695143739451767172502043916821<54>
3730623160249109058359608625886054828309519080064749271436423718504794845495349071965143904357<94>

Number: 32223_172
N=2709384215309372182203342926445773798350915817053389492870399005201706301126274267157054751695454904962062248177824132837491095428617734300887489097
  ( 148 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=726255131898247114878077695143739451767172502043916821
 r2=3730623160249109058359608625886054828309519080064749271436423718504794845495349071965143904357
Version: 
Total time: 95.60 hours.
Scaled time: 192.53 units (timescale=2.014).
Factorization parameters were as follows:
n: 2709384215309372182203342926445773798350915817053389492870399005201706301126274267157054751695454904962062248177824132837491095428617734300887489097
m: 10000000000000000000000000000000000
deg: 5
c5: 2900
c0: 7
skew: 0.30
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 5200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1031897 x 1032145
Total sieving time: 95.60 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 95.60 hours.
 --------- CPU info (if available) ----------

44587226668551285947153858897803009167070112660833284867066759943834698547048095387669446160571025355034802031576631958402797232704294420388753513856294136538778629<164>

235507051823099608656961989891107239741<39>
189324380409818228850441822613688579329312259025581233205446291032819513726570719469067776638248981129547679256793548632126569<126>

N=44587226668551285947153858897803009167070112660833284867066759943834698547048095387669446160571025355034802031576631958402797232704294420388753513856294136538778629
  ( 164 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=235507051823099608656961989891107239741 (pp39)
 r2=189324380409818228850441822613688579329312259025581233205446291032819513726570719469067776638248981129547679256793548632126569 (pp126)
Version: Msieve v. 1.47
Total time:
Scaled time: 211.21 units (timescale=1.881).
Factorization parameters were as follows:
n: 44587226668551285947153858897803009167070112660833284867066759943834698547048095387669446160571025355034802031576631958402797232704294420388753513856294136538778629
m: 100000000000000000000000000000000000
deg: 5
c5: 29
c0: 7
skew: 0.75
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 1600000
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 6250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 929225 x 929450
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time:

2028674607626260424838565450292193405854695233963369946699341610992812060867588898864140209430969274086743665214556448576043629039670082096707<142>

44003032431999519836766028306291338310843<41>
46103063709558901289013149781826765208999926217562429379925050058417112811009194309679904582985037849<101>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3666649768
Step 1 took 78748ms
Step 2 took 38279ms
********** Factor found in step 2: 44003032431999519836766028306291338310843
Found probable prime factor of 41 digits: 44003032431999519836766028306291338310843
Probable prime cofactor 46103063709558901289013149781826765208999926217562429379925050058417112811009194309679904582985037849 has 101 digits

3336039865320887618690676665853894012035606720484919600750256156430048119168246006502775156845036720297263616138136917136599284635903885676033<142>

25655323393507215008689931623388941651723204140980359126272945677<65>
130033046715176633975983966842056183107853780346387230146741492089369024108229<78>

N=3336039865320887618690676665853894012035606720484919600750256156430048119168246006502775156845036720297263616138136917136599284635903885676033
  ( 142 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=25655323393507215008689931623388941651723204140980359126272945677 (pp65)
 r2=130033046715176633975983966842056183107853780346387230146741492089369024108229 (pp78)
Version: Msieve-1.40
Total time: 129.05 hours.
Scaled time: 254.10 units (timescale=1.969).
Factorization parameters were as follows:
n: 3336039865320887618690676665853894012035606720484919600750256156430048119168246006502775156845036720297263616138136917136599284635903885676033
m: 1000000000000000000000000000000000000
deg: 5
c5: 29
c0: 7
skew: 0.75
# Murphy_E = 1.26e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 5700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1064136 x 1064364
Total sieving time: 127.29 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.19 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 129.05 hours.
 --------- CPU info (if available) ----------

215170683038033059308217327764204256619797115290314719459247954557090026283100034553365444015962463244812020203725360539039142912528169906670326462869<150>

586651590012388416960665362930558915324486418334884507148968774687<66>
366777635484614070555893314379435124051965441844079423872135353368017592719930557387<84>

N=215170683038033059308217327764204256619797115290314719459247954557090026283100034553365444015962463244812020203725360539039142912528169906670326462869
  ( 150 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=586651590012388416960665362930558915324486418334884507148968774687 (pp66)
 r2=366777635484614070555893314379435124051965441844079423872135353368017592719930557387 (pp84)
Version: Msieve-1.40
Total time: 178.95 hours.
Scaled time: 345.01 units (timescale=1.928).
Factorization parameters were as follows:
n: 215170683038033059308217327764204256619797115290314719459247954557090026283100034553365444015962463244812020203725360539039142912528169906670326462869
m: 1000000000000000000000000000000000000
deg: 5
c5: 2900
c0: 7
skew: 0.30
# Murphy_E = 8.141e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4000000, 6800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1260018 x 1260243
Total sieving time: 176.78 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.66 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 178.95 hours.
 --------- CPU info (if available) ----------

13999881004114577058446704816265842596856165825533963498644599373668225917200577237603005396229935255539141327375812733612832311072256959<137>

998491758420129256214012778643327061<36>
191014929503817134873863510492700758731779<42>
73402786568103797704687105151174128789470935649299173949761<59>

#ECM, then gnfs/Msieve
#
Using B1=2000000, B2=8559543730, polynomial Dickson(6), sigma=2737868976
Step 1 took 9609ms
Step 2 took 7188ms
********** Factor found in step 2: 998491758420129256214012778643327061
Found probable prime factor of 36 digits: 998491758420129256214012778643327061
Composite cofactor 14021028101690082203690938282107943503058227685215117433407131744368757397621888113439598832620154819 has 101 digits

Number: 32223_185
N=14021028101690082203690938282107943503058227685215117433407131744368757397621888113439598832620154819
  ( 101 digits)
Divisors found:
 r1=191014929503817134873863510492700758731779
 r2=73402786568103797704687105151174128789470935649299173949761
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.738).
Factorization parameters were as follows:
name: 32223_185
n: 14021028101690082203690938282107943503058227685215117433407131744368757397621888113439598832620154819
skew: 5770.54
# norm 1.14e+14
c5: 48600
c4: 1184294521
c3: -12491219393246
c2: -27607875436124762
c1: 101137989921524038740
c0: 155838742740402087911160
# alpha -5.97
Y1: 29392050083
Y0: -12360148402989801913
# Murphy_E 3.32e-09
# M 10280378046388752780938709639775952386580967738344090357039117454518361154218840421540055381266736973
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 201675 x 201913
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 3.4 hours.

GMP-ECM 6.2.1+pol51+Msieve 1.36

Opteron-2.2GHz; Linux x86_64

1732160802887706755494227305698550908401568321540679981829734961603110526266313938349528372300595374196145281197957649152423503519191393081870868896780219870113259570932694129<175>

11910828730685977118418114191547215645231<41>

145427395696247820167880490094634438455470126089706828031540437779425915371945536128394402162288691658663338089376891014788132183710559<135>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=744660599
Step 1 took 151167ms
Step 2 took 52328ms
********** Factor found in step 2: 11910828730685977118418114191547215645231
Found probable prime factor of 41 digits: 11910828730685977118418114191547215645231
Composite cofactor 145427395696247820167880490094634438455470126089706828031540437779425915371945536128394402162288691658663338089376891014788132183710559 has 135 digits

145427395696247820167880490094634438455470126089706828031540437779425915371945536128394402162288691658663338089376891014788132183710559<135>

586411387642914596350549242467195111801909848541<48>
247995517755537516486414374548058511700193970138858652366669208489621356814239826005099<87>

Number: n
N=145427395696247820167880490094634438455470126089706828031540437779425915371945536128394402162288691658663338089376891014788132183710559
  ( 135 digits)
Divisors found:

Fri Jun  1 04:03:23 2012  prp48 factor: 586411387642914596350549242467195111801909848541
Fri Jun  1 04:03:23 2012  prp87 factor: 247995517755537516486414374548058511700193970138858652366669208489621356814239826005099
Fri Jun  1 04:03:23 2012  elapsed time 05:35:15 (Msieve 1.44 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.293).
Factorization parameters were as follows:
name: KA_32223_188
n: 145427395696247820167880490094634438455470126089706828031540437779425915371945536128394402162288691658663338089376891014788132183710559
skew: 334536.49
# norm 5.92e+18
c5: 75600
c4: 115520553831
c3: 59084489855243629
c2: -11632009349789821552780
c1: -1772249480776862217105430067
c0: 176681975266361699129081271036987
# alpha -5.97
Y1: 1436760382185629
Y0: -71915455352389643669282048
# Murphy_E 3.84e-11
# M 43656800648098055846855374900949375788522874813376833970204204375019078031939114083536007549783848536005485128792325707150029477584871
type: gnfs
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 14600000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4469963 hash collisions in 27150017 relations (23163745 unique)
Msieve: matrix is 1686733 x 1686961 (489.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,134,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,20000000,20000000,28,28,56,56,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

15811650598386468318912040617091881725621669040983595602192065675366513150248002782273344830780059130432915846379859419920553138303521177958257449<146>

144662701645733201813301753650538201114278374169<48>
109300119647342628425391525330450021728554401737905798452878953413731758518870351964809503638207121<99>

N=15811650598386468318912040617091881725621669040983595602192065675366513150248002782273344830780059130432915846379859419920553138303521177958257449
  ( 146 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=144662701645733201813301753650538201114278374169 (pp48)
 r2=109300119647342628425391525330450021728554401737905798452878953413731758518870351964809503638207121 (pp99)
Version: Msieve-1.40
Total time: 264.50 hours.
Scaled time: 508.37 units (timescale=1.922).
Factorization parameters were as follows:
n: 15811650598386468318912040617091881725621669040983595602192065675366513150248002782273344830780059130432915846379859419920553138303521177958257449
m: 100000000000000000000000000000000000000
deg: 5
c5: 29
c0: 7
skew: 0.75
# Murphy_E = 4.925e-11
type: snfs
lss: 1
rlim: 10900000
alim: 10900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5450000, 9450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1655689 x 1655913
Total sieving time: 260.97 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.96 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,10900000,10900000,28,28,54,54,2.5,2.5,100000
total time: 264.50 hours.
 --------- CPU info (if available) ----------

692656708704551312194811703462436332773705742962821853219499761945139023331945528424096885488139031314140363471295682261154098645088926531330491668724487101795826474777<168>

17658607219078111312470845293151480801746280477351<50>
39224877710412785500857623197185372178728755733535530304187506608755578888971482388121268562842058328043071164187531327<119>

N=692656708704551312194811703462436332773705742962821853219499761945139023331945528424096885488139031314140363471295682261154098645088926531330491668724487101795826474777
  ( 168 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=17658607219078111312470845293151480801746280477351 (pp50)
 r2=39224877710412785500857623197185372178728755733535530304187506608755578888971482388121268562842058328043071164187531327 (pp119)
Version: Msieve-1.40
Total time: 373.48 hours.
Scaled time: 733.13 units (timescale=1.963).
Factorization parameters were as follows:
n: 692656708704551312194811703462436332773705742962821853219499761945139023331945528424096885488139031314140363471295682261154098645088926531330491668724487101795826474777
m: 100000000000000000000000000000000000000
deg: 5
c5: 2900
c0: 7
skew: 0.30
# Murphy_E = 3.176e-11
type: snfs
lss: 1
rlim: 11700000
alim: 11700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 11700000/11700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5850000, 11450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1986646 x 1986874
Total sieving time: 368.60 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 4.36 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,193.000,5,0,0,0,0,0,0,0,0,11700000,11700000,28,28,55,55,2.5,2.5,100000
total time: 373.48 hours.
 --------- CPU info (if available) ----------

1043493567845447017697091172910167915131490348046321697230162242292562033009416812629700698256663007574518882187170285770269292193749469444023153<145>

540003993963769781831586951750278567048017501645877<51>
1932381203675796535480450338309490479779889157845105115879345837972434669366144323477272701389<94>

Number: 3223
N=1043493567845447017697091172910167915131490348046321697230162242292562033009416812629700698256663007574518882187170285770269292193749469444023153
  ( 145 digits)
SNFS difficulty: 194 digits.
Divisors found:
 r1=540003993963769781831586951750278567048017501645877 (pp51)
 r2=1932381203675796535480450338309490479779889157845105115879345837972434669366144323477272701389 (pp94)
Version: Msieve-1.40
Total time: 364.03 hours.
Scaled time: 701.48 units (timescale=1.927).
Factorization parameters were as follows:
n: 1043493567845447017697091172910167915131490348046321697230162242292562033009416812629700698256663007574518882187170285770269292193749469444023153
m: 100000000000000000000000000000000000000
deg: 5
c5: 29000
c0: 7
skew: 0.19
# Murphy_E = 2.761e-11
type: snfs
lss: 1
rlim: 12200000
alim: 12200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6100000, 11500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2314586 x 2314811
Total sieving time: 357.18 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 6.22 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
snfs,194.000,5,0,0,0,0,0,0,0,0,12200000,12200000,28,28,55,55,2.5,2.5,100000
total time: 364.03 hours.
 --------- CPU info (if available) ----------

97434937154892388355724906873784838443941654040312659744848990463468759979591738110026771057345105290889490974785854668117469634125129366100867063371269397476690237<164>

14075943768354312930802802632768868131193883147146876204443<59>
6922089115896204017415306136934437556871519995143877954927384442762225171666748301128129788221240454026759<106>

N=97434937154892388355724906873784838443941654040312659744848990463468759979591738110026771057345105290889490974785854668117469634125129366100867063371269397476690237
  ( 164 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=14075943768354312930802802632768868131193883147146876204443 (pp59)
 r2=6922089115896204017415306136934437556871519995143877954927384442762225171666748301128129788221240454026759 (pp106)
Version: Msieve-1.40
Total time: 442.48 hours.
Scaled time: 874.35 units (timescale=1.976).
Factorization parameters were as follows:
n: 97434937154892388355724906873784838443941654040312659744848990463468759979591738110026771057345105290889490974785854668117469634125129366100867063371269397476690237
m: 1000000000000000000000000000000000000000
deg: 5
c5: 290
c0: 7
skew: 0.47
# Murphy_E = 2.348e-11
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6850000, 13450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2525431 x 2525656
Total sieving time: 434.17 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 7.72 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
snfs,197.000,5,0,0,0,0,0,0,0,0,13700000,13700000,28,28,55,55,2.5,2.5,100000
total time: 442.48 hours.
 --------- CPU info (if available) ----------

297332436208042664324686871808965905077983399962605309091257217674984704202777629008704267490187557905477789258211312411906942785000022778851834187330179981496737539597179<171>

2106947870302698457317627008040587161222201<43>

141119977574635420294545119190098617609265053315360102484788608491777842564440001681522201943055662297225448158921080629853783379<129>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1072038379
Step 1 took 83773ms
Step 2 took 41028ms
********** Factor found in step 2: 2106947870302698457317627008040587161222201
Found probable prime factor of 43 digits: 2106947870302698457317627008040587161222201
Composite cofactor 141119977574635420294545119190098617609265053315360102484788608491777842564440001681522201943055662297225448158921080629853783379 has 129 digits

GMP-ECM 6.3

141119977574635420294545119190098617609265053315360102484788608491777842564440001681522201943055662297225448158921080629853783379<129>

755033411057740715588438584547020394401091<42>
186905606437916105452092065969580792394744229193199426767948685229213375690153731989169<87>

Number: 32223_198
N = 141119977574635420294545119190098617609265053315360102484788608491777842564440001681522201943055662297225448158921080629853783379 (129 digits)
Divisors found:
r1=755033411057740715588438584547020394401091 (pp42)
r2=186905606437916105452092065969580792394744229193199426767948685229213375690153731989169 (pp87)
Version: Msieve v. 1.45
Total time: 178.13 hours.
Factorization parameters were as follows:
# Murphy_E = 1.002e-10, selected by Erik Branger
n: 141119977574635420294545119190098617609265053315360102484788608491777842564440001681522201943055662297225448158921080629853783379
Y0: -6781329632974783441049598
Y1: 92785900019449
c0: 12109510434822527690370522275381
c1: 274018681161687073715372167
c2: -5908065854488037022489
c3: 3159123069194273
c4: 31667137228
c5: 9840
skew: 404044.49
type: gnfs
# selected mechanically
rlim: 8700000
alim: 8700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8700000/8700000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [4350000, 8650000)
Relations: 17141032
Relations in full relation-set: 2193838 relations
Pruned matrix : 1285079 x 1285304
Polynomial selection time: 0.00 hours.
Total sieving time: 171.22 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 5.97 hours.
time per square root: 0.63 hours.
Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,8700000,8700000,28,28,53,53,2.5,2.5,100000
total time: 178.13 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1618393883587253752999609353200513421507896646018192979518946369775099056867012668117640493331101065907695741949885596294436073441598303476756515430548579719850438082482281377309001618393883587253753<199>

2622132794931671495246975848761177201535904475021517<52>
617205157082605520178820379830849624108362321688262546593757987859722741836402628867603265413203692526691817731931259546903043064596317785171065309<147>

Number: n
N=1618393883587253752999609353200513421507896646018192979518946369775099056867012668117640493331101065907695741949885596294436073441598303476756515430548579719850438082482281377309001618393883587253753
  ( 199 digits)
SNFS difficulty: 202 digits.
Divisors found:

Tue Oct  9 21:22:07 2012  prp52 factor: 2622132794931671495246975848761177201535904475021517
Tue Oct  9 21:22:07 2012  prp147 factor: 617205157082605520178820379830849624108362321688262546593757987859722741836402628867603265413203692526691817731931259546903043064596317785171065309
Tue Oct  9 21:22:07 2012  elapsed time 05:55:41 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
name: KA_32223_201
n: 1618393883587253752999609353200513421507896646018192979518946369775099056867012668117640493331101065907695741949885596294436073441598303476756515430548579719850438082482281377309001618393883587253753
m: 10000000000000000000000000000000000000000
#  c199, diff: 202.46
skew: 0.475
deg: 5
c5: 290
c0: 7
# Murphy_E = 1.452e-11
type: snfs
lss: 1
rlim: 16600000
alim: 16600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16600000/16600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 27300000)
Primes: RFBsize:1067185, AFBsize:1067257,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8610247 hash collisions in 62340814 relations (56292373 unique)
Msieve: matrix is 1932821 x 1933046 (547.7 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16600000,16600000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

2507328966658587811320880622942974737405538196156209531860805002722847433231751454486910931629149281241214640243152834435802024087108851048774979835398981318743176878499099073794673<181>

273941449768849972909143906186612929<36>

9152791477062911834630828796850231625516443360746970772963949470316826011084452146141241043554444427773843271513543915149792411199419809181154737<145>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3050667074
Step 1 took 10405ms
Step 2 took 6287ms
********** Factor found in step 2: 273941449768849972909143906186612929
Found probable prime factor of 36 digits: 273941449768849972909143906186612929
Composite cofactor 9152791477062911834630828796850231625516443360746970772963949470316826011084452146141241043554444427773843271513543915149792411199419809181154737 has 145 digits

GMP-ECM 6.3

9152791477062911834630828796850231625516443360746970772963949470316826011084452146141241043554444427773843271513543915149792411199419809181154737<145>

2175838914140062880636171622383607868075934981937588384190800733439<67>
4206557488048368122573763416238226538161610366029618656292264592228903126248783<79>

9152791477062911834630828796850231625516443360746970772963949470316826011084452146141241043554444427773843271513543915149792411199419809181154737=2175838914140062880636171622383607868075934981937588384190800733439*4206557488048368122573763416238226538161610366029618656292264592228903126248783

n: 9152791477062911834630828796850231625516443360746970772963949470316826011084452146141241043554444427773843271513543915149792411199419809181154737
skew: 418129.579
c0: -4729466650621466741974241249914444
c1: -25808010347672975141764084364
c2: -11108451456032652531089
c3: -793885787525870719
c4: 604461163530
c5: 887400
Y0: -12453863748289606893743779351
Y1: 644319328952796142223
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.746e-07
# f(x) = 887400*x^5+604461163530*x^4-793885787525870719*x^3-11108451456032652531089*x^2-25808010347672975141764084364*x-4729466650621466741974241249914444
# g(x) = 644319328952796142223*x-12453863748289606893743779351

Info:Square Root: Factors: 4206557488048368122573763416238226538161610366029618656292264592228903126248783 2175838914140062880636171622383607868075934981937588384190800733439
Info:Square Root: Total cpu/real time for sqrt: 3173.03/938.506
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78448/43.250/52.246/57.290/0.900
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 64092/42.600/46.820/52.980/1.196
Info:Polynomial Selection (size optimized): Total time: 41886.7
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5780.29
Info:Polynomial Selection (root optimized): Rootsieve time: 5775.63
Info:Generate Factor Base: Total cpu/real time for makefb: 18.16/4.83228
Info:Generate Free Relations: Total cpu/real time for freerel: 445.4/112.618
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 48806865
Info:Lattice Sieving: Average J: 3786.65 for 1142269 special-q, max bucket fill -bkmult 1.0,1s:1.079280
Info:Lattice Sieving: Total time: 1.63764e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.72/258.988
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 258.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 968.53/886.026
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 777.5000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 833.23/844.758
Info:Filtering - Merging: Total cpu/real time for merge: 492.74/143.304
Info:Filtering - Merging: Total cpu/real time for replay: 146.26/125.976
Info:Linear Algebra: Total cpu/real time for bwc: 216788/55521.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 35536.23, iteration CPU time 0.31, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (108032 iterations)
Info:Linear Algebra: Lingen CPU time 750.88, WCT time 216.9
Info:Linear Algebra: Mksol: WCT time 19310.5, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (54272 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 140.09/57.1589
Info:Square Root: Total cpu/real time for sqrt: 3173.03/938.506
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.02955e+06/506.043
4206557488048368122573763416238226538161610366029618656292264592228903126248783 2175838914140062880636171622383607868075934981937588384190800733439

cado-nfs-3.0.0

Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

1355673704865037774232412459913803036706498384855842310830236155146677411976999708365806359717677155384506680013243616789402318078382493510329163206210330946349077166629860148195887956722049<190>

4434136379684205648197109219108337<34>

305735680814036526178767788803092144938745315721006277234060910757516034982494027481437828835101124124388152325296171500425965185014083248224452275343967377<156>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2305633449
Step 1 took 13026ms
Step 2 took 8065ms
********** Factor found in step 2: 4434136379684205648197109219108337
Found probable prime factor of 34 digits: 4434136379684205648197109219108337
Composite cofactor 305735680814036526178767788803092144938745315721006277234060910757516034982494027481437828835101124124388152325296171500425965185014083248224452275343967377 has 156 digits

GMP-ECM 6.3

305735680814036526178767788803092144938745315721006277234060910757516034982494027481437828835101124124388152325296171500425965185014083248224452275343967377<156>

193806850201094729088684032954202507775624662823<48>
1577527731846444097890352802116869404800055022257817934612796302356302658806219181889151992536683688217387399<109>

#
# N = 29x10^204+7 = 32(203)3
#
n: 305735680814036526178767788803092144938745315721006277234060910757516034982494027481437828835101124124388152325296171500425965185014083248224452275343967377
m: 50000000000000000000000000000000000000000
deg: 5
c5: 464
c0: 35
skew: 0.60
# Murphy_E = 1.023e-11
type: snfs
lss: 1
rlim: 19100000
alim: 19100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 305735680814036526178767788803092144938745315721006277234060910757516034982494027481437828835101124124388152325296171500425965185014083248224452275343967377 (156 digits)
Using B1=47190000, B2=240494804566, polynomial Dickson(12), sigma=1:2830582963
Step 1 took 112743ms
Step 2 took 35826ms
********** Factor found in step 2: 193806850201094729088684032954202507775624662823
Found prime factor of 48 digits: 193806850201094729088684032954202507775624662823
Prime cofactor 1577527731846444097890352802116869404800055022257817934612796302356302658806219181889151992536683688217387399 has 109 digits

72888795968310247732642854283937519565320627691545886587048773045679635749884080541224274539719181027238773496979139935083237341795621146207447013708328361836419<161>

41537724040884409479824998068728446014282325701011572944088241<62>
1754761428348068925410015508049805793475384841475714733283785851008472628086754084946343650106502259<100>

Number: 32223_205
N = 72888795968310247732642854283937519565320627691545886587048773045679635749884080541224274539719181027238773496979139935083237341795621146207447013708328361836419 (161 digits)
SNFS difficulty: 207 digits.
Divisors found:
r1=41537724040884409479824998068728446014282325701011572944088241 (pp62)
r2=1754761428348068925410015508049805793475384841475714733283785851008472628086754084946343650106502259 (pp100)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 34.65 hours.
Factorization parameters were as follows:
n: 72888795968310247732642854283937519565320627691545886587048773045679635749884080541224274539719181027238773496979139935083237341795621146207447013708328361836419
m: 100000000000000000000000000000000000000000
deg: 5
c5: 29
c0: 7
skew: 0.75
# Murphy_E = 1.166e-11
type: snfs
lss: 1
rlim: 19300000
alim: 19300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19300000/19300000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 38309143
Relations: 6293200 relations
Pruned matrix : 3732860 x 3733108
Total sieving time: 28.30 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 5.94 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: snfs,207,5,0,0,0,0,0,0,0,0,19300000,19300000,29,29,56,56,2.6,2.6,100000
total time: 34.65 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
processors: 16, speed: 3.60GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

42923653206603411900211062746333717698222909176023344334192251372645740987792170377484037497335093595833642130118435256992352519463<131>

37228736906945938160153112359936512367<38>
1152970978142289506082691568535722286432467545259665813560994885292974101942821793799470316489<94>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3369146300
Step 1 took 19500ms
Step 2 took 13151ms
********** Factor found in step 2: 37228736906945938160153112359936512367
Found probable prime factor of 38 digits: 37228736906945938160153112359936512367
Probable prime cofactor 1152970978142289506082691568535722286432467545259665813560994885292974101942821793799470316489 has 94 digits

GMP-ECM 6.3

1484842883863765285185387350353039844087287257378886348998859233396004167532741161650200800211758390946124670558573852428516683065887<133>

10990219701797317127751426812475109165819502205678841477<56>
135105841753185083437696331136508745939295201003809355506089730108350509781331<78>

Number: 32223_207
N = 1484842883863765285185387350353039844087287257378886348998859233396004167532741161650200800211758390946124670558573852428516683065887 (133 digits)
Divisors found:
r1=10990219701797317127751426812475109165819502205678841477 (pp56)
r2=135105841753185083437696331136508745939295201003809355506089730108350509781331 (pp78)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 140.61 hours.
Factorization parameters were as follows:
# Murphy_E = 6.635e-11, selected by Erik Branger
n: 1484842883863765285185387350353039844087287257378886348998859233396004167532741161650200800211758390946124670558573852428516683065887
Y0: -58869737386200207626616317
Y1: 54927494437981
c0: 4746833510453518255109884073067840
c1: 23953352308792688923763706504
c2: -8512459136867961752938
c3: -22905604493855539
c4: 3705078908
c5: 2100
skew: 1721090.61
type: gnfs
# selected mechanically
rlim: 11200000
alim: 11200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11200000/11200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [5600000, 12200000)
Relations: 21011051
Relations in full relation-set: 2366118 relations
Pruned matrix : 1474632 x 1474861
Polynomial selection time: 0.00 hours.
Total sieving time: 138.24 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.87 hours.
time per square root: 0.39 hours.
Prototype def-par.txt line would be: gnfs,132,5,65,2000,1e-05,0.28,250,20,50000,3600,11200000,11200000,28,28,54,54,2.6,2.6,100000
total time: 140.61 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

816211811737251088783455527975108419410154396927803929711914017276117707222841906475006807586061812715712151006650011769<120>

239560051753030984429986747520625955079<39>
3407128215929366179100456359802454731156296339849700170784016971380480088777962111<82>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1500551129
Step 1 took 18437ms
Step 2 took 8750ms
********** Factor found in step 2: 239560051753030984429986747520625955079
Found probable prime factor of 39 digits: 239560051753030984429986747520625955079
Probable prime cofactor 3407128215929366179100456359802454731156296339849700170784016971380480088777962111 has 82 digits

GMP-ECM 6.3

167082722294507084845453262993812527115644175800668123326230097501738402572966658840623276405499943708157058341320087767802670952777270329648009512346738497904583<162>

7010554818551598856026505637<28>

23833024149867052075697001565053167803237925928126494700632419034926044108449540733114816613420832021237563332517454715888022343256059<134>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2460094565
Step 1 took 9313ms
Step 2 took 6895ms
********** Factor found in step 2: 7010554818551598856026505637
Found probable prime factor of 28 digits: 7010554818551598856026505637
Composite cofactor 23833024149867052075697001565053167803237925928126494700632419034926044108449540733114816613420832021237563332517454715888022343256059 has 134 digits

GMP-ECM 6.3

23833024149867052075697001565053167803237925928126494700632419034926044108449540733114816613420832021237563332517454715888022343256059<134>

6365545328529034993577351715121073<34>
3753485619892034060000450522458126414451603507<46>
997490530843073426273932078410050646354716860489595369<54>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3230298720
Step 1 took 4383ms
Step 2 took 3760ms
********** Factor found in step 2: 6365545328529034993577351715121073
Found probable prime factor of 34 digits: 6365545328529034993577351715121073
Composite cofactor 3744066363497947579320212214098065033693155963411370761446159768978336096707676128900107771651359083 has 100 digits

N = 3744066363497947579320212214098065033693155963411370761446159768978336096707676128900107771651359083 (100 digits)
Divisors found:
r1=3753485619892034060000450522458126414451603507 (pp46)
r2=997490530843073426273932078410050646354716860489595369 (pp54)
Version: Msieve v. 1.48
Total time: 1.52 hours.
Factorization parameters were as follows:
n: 3744066363497947579320212214098065033693155963411370761446159768978336096707676128900107771651359083
Y0: -1069978953964001035283077
Y1: 79200269820001
c0: -3190503835408349651936910960
c1: -5116019345042121603722
c2: -18812247772143307
c3: 7499868568
c4: 2856
skew: 2024065.95
type: gnfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [0, 0)
Total raw relations: 4507680
Relations: 307846 relations
Pruned matrix : 186093 x 186321
Polynomial selection time: 0.00 hours.
Total sieving time: 1.43 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: gnfs,99,4,58,1500,0.003,0.4,220,15,10000,2000,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 1.52 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

GMP-ECM 6.3

339168735019966089782168104209400439419489913656614881545947240480774370814542166922216576509871726928649860894616331970521347294347060918432918911742530637324773699713090567418782690558711551<192>

1186724580849720639598397284736393764860400290359610030681617590534705789500581726254602284880845201919499681489766150684294383652556997096225698038626596348085733420928088364274332571721<187>

43204843429487944670118860640395634378761036913378569714604019313674815079169874510485379028151061435784372904197455044058650690893075344427327650013892306586718334422250701793938721423992660255017260261<203>

30969168739220729684460839008597700862023219477079984813540254633559013207<74>
1395092125116403707213760985896535569945210935546088690371151463758703846719605791762685292718104491542857956192555747472230079523<130>

Number: n
N=43204843429487944670118860640395634378761036913378569714604019313674815079169874510485379028151061435784372904197455044058650690893075344427327650013892306586718334422250701793938721423992660255017260261  ( 203 digits)
SNFS difficulty: 216 digits.
Divisors found:

Sat Aug 29 07:56:15 2020  p74 factor: 30969168739220729684460839008597700862023219477079984813540254633559013207
Sat Aug 29 07:56:15 2020  p130 factor: 1395092125116403707213760985896535569945210935546088690371151463758703846719605791762685292718104491542857956192555747472230079523
Sat Aug 29 07:56:15 2020  elapsed time 05:01:25 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.116).
Factorization parameters were as follows:
#
# N = 29x10^215+7 = 32(214)3
#
n: 43204843429487944670118860640395634378761036913378569714604019313674815079169874510485379028151061435784372904197455044058650690893075344427327650013892306586718334422250701793938721423992660255017260261
m: 10000000000000000000000000000000000000000000
deg: 5
c5: 29
c0: 7
skew: 0.75
# Murphy_E = 3.869e-12
type: snfs
lss: 1
rlim: 28000000
alim: 28000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 28000000/28000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 54000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8797821 hash collisions in 60031645 relations (53436393 unique)
Msieve: matrix is 3351772 x 3351997 (1173.5 MB)

Sieving start time: 2020/08/28 03:39:14
Sieving end time  : 2020/08/29 02:53:54

Total sieving time: 23hrs 14min 40secs.

Total relation processing time: 4hrs 32min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 50sec.

Prototype def-par.txt line would be:
snfs,216,5,0,0,0,0,0,0,0,0,28000000,28000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.154206] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283136K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420324K reserved, 0K cma-reserved)
[    0.188728] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.50 BogoMIPS (lpj=11977004)
[    0.186225] smpboot: Total of 16 processors activated (95816.03 BogoMIPS)

153719786478236669479417041989648834722049009535565898033240165436215812100002371756996214137650912186908051445502171779954945332459284318333070275151659741488567490581<168>

1372958253560957330936437944393713377<37>
111962462135715429910230576323121039372615384499499755730307823111550028266731133985991636687434071765927383535105339407735103740853<132>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3980417840
Step 1 took 9251ms
Step 2 took 6973ms
********** Factor found in step 2: 1372958253560957330936437944393713377
Found probable prime factor of 37 digits: 1372958253560957330936437944393713377
Probable prime cofactor 111962462135715429910230576323121039372615384499499755730307823111550028266731133985991636687434071765927383535105339407735103740853 has 132 digits

GMP-ECM 6.3

175229580102671601134375246543964630384440068547789369401502478565312290862680552731296134468859035526351087913800165477689558305242326524808528266061061468579487646638893039753849<180>

16959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380117<218>

197923082103284974248682883958627071380254017495054615778652863323711225609006141658785261<90>
85685126500987863723794466164549111661856690685831884995322964228994712121465463877585076710106083400618444384563794845321341897<128>

N=16959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380117
  ( 218 digits)
SNFS difficulty: 219 digits.
Divisors found:
 r1=197923082103284974248682883958627071380254017495054615778652863323711225609006141658785261 (pp90)
 r2=85685126500987863723794466164549111661856690685831884995322964228994712121465463877585076710106083400618444384563794845321341897 (pp128)
Version: Msieve v. 1.52 (SVN Unversioned directory)
Total time:
Scaled time: 298.85 units (timescale=1.787).
Factorization parameters were as follows:
n: 16959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380117
m: 1000000000000000000000000000000000000
deg: 6
c6: 2900
c0: 7
skew: 0.37
# Murphy_E = 2.8e-12
type: snfs
lss: 1
rlim: 32000000
alim: 32000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 640000
Factor base limits: 32000000/32000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved rational special-q in [16000000, 47360001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 5638314 x 5638542
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,219.000,6,0,0,0,0,0,0,0,0,32000000,32000000,29,29,58,58,2.6,2.6,100000
total time:

19684286979742076879843885420120226979545193053194902567937843119576555716872252977468786569854789174801398983672568773572090092277558062828433398703412995445994292474559796615926675807181825967757080188807<206>

218112889628405115409179556667884856358127<42>

90248160084797517061408460945385172543735532744574640635871944518433959927432839885487717336467746023626713977427967131921730766270342299018946691565693000005252841<164>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2443140689
Step 1 took 36872ms
Step 2 took 12960ms
********** Factor found in step 2: 218112889628405115409179556667884856358127
Found probable prime factor of 42 digits: 218112889628405115409179556667884856358127

90248160084797517061408460945385172543735532744574640635871944518433959927432839885487717336467746023626713977427967131921730766270342299018946691565693000005252841<164>

4707640308787629738781666886740323030874893660526999<52>
19170572551249003370240752702161847333354446630232278557181869286412306038517246522382282352667960880922598540159<113>

Number: 32223_219
N = 90248160084797517061408460945385172543735532744574640635871944518433959927432839885487717336467746023626713977427967131921730766270342299018946691565693000005252841 (164 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=4707640308787629738781666886740323030874893660526999 (pp52)
r2=19170572551249003370240752702161847333354446630232278557181869286412306038517246522382282352667960880922598540159 (pp113)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 90.54 hours.
Factorization parameters were as follows:
n: 90248160084797517061408460945385172543735532744574640635871944518433959927432839885487717336467746023626713977427967131921730766270342299018946691565693000005252841
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 29
c0: 70
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 7977610 relations
Pruned matrix : 7276761 x 7276986
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 44.21 hours.
Total relation processing time: 0.93 hours.
Matrix solve time: 45.18 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 90.54 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

60004138216428719222015311400786261121456652182909166149389613076763914752741568384026484585143803020897992965032071177322573970618663356093523691289054417546037657769501344920339333747154976205255534864473411959445479<218>

627412249239997328950983740074432454087599<42>

95637498772319912053718201910390448912416634802122800504119450887067712717406793125172251829580284962675595338092018974826582082523265137453743836737255597786044794393515554121<176>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=399249721
Step 1 took 539200ms
********** Factor found in step 1: 627412249239997328950983740074432454087599
Found probable prime factor of 42 digits: 627412249239997328950983740074432454087599

95637498772319912053718201910390448912416634802122800504119450887067712717406793125172251829580284962675595338092018974826582082523265137453743836737255597786044794393515554121<176>

8300096738392980987474757758603041297635307760207489695099459<61>
11522455916680884105310843783812175307349439412382337778441488680327648153700269853703628520464529521462964768671619<116>

Number: 32223_220
N = 95637498772319912053718201910390448912416634802122800504119450887067712717406793125172251829580284962675595338092018974826582082523265137453743836737255597786044794393515554121 (176 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=8300096738392980987474757758603041297635307760207489695099459 (pp61)
r2=11522455916680884105310843783812175307349439412382337778441488680327648153700269853703628520464529521462964768671619 (pp116)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 73.59 hours.
Factorization parameters were as follows:
n: 95637498772319912053718201910390448912416634802122800504119450887067712717406793125172251829580284962675595338092018974826582082523265137453743836737255597786044794393515554121
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 29
c0: 7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 32297571
Relations: 7562894 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 41.44 hours.
Total relation processing time: 0.30 hours.
Pruned matrix : 7038644 x 7038869
Matrix solve time: 31.58 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,27,58,54,2.8,2.8,100000
total time: 73.59 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

1633531372190958729553256048488351902991895972642495215909620604208348902635417884177663402534178088898219166231877849477113276721942219395483642732566618842903812786987784821613<178>

62205965609302623440585280566040877136046683322508198446900084570102432476740359221<83>
26260043650004388517102812636904903658874307387608282571584906833382232786128573106315793604953<95>

Number: 32223_221
N = 1633531372190958729553256048488351902991895972642495215909620604208348902635417884177663402534178088898219166231877849477113276721942219395483642732566618842903812786987784821613 (178 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=62205965609302623440585280566040877136046683322508198446900084570102432476740359221 (pp83)
r2=26260043650004388517102812636904903658874307387608282571584906833382232786128573106315793604953 (pp95)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 67.37 hours.
Factorization parameters were as follows:
n: 1633531372190958729553256048488351902991895972642495215909620604208348902635417884177663402534178088898219166231877849477113276721942219395483642732566618842903812786987784821613
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 290
c0: 7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8053620 relations
Pruned matrix : 7215151 x 7215376
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 36.23 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 30.47 hours.
time per square root: 0.35 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 67.37 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

253551545099903981339552716749610912602012918571998197523540506822127066561232430253389232344329269917730873222476789018962158611087527361311933988695166962965370240005660486171536180304390658261<195>

136489262047819855288376914206335714340852614696933483607899<60>
1857666612711779720412189556198203291851731066548539051503265561481756735588862819165654194546343061517192718359446131327353952361469839<136>

Number: 32223_222
N = 253551545099903981339552716749610912602012918571998197523540506822127066561232430253389232344329269917730873222476789018962158611087527361311933988695166962965370240005660486171536180304390658261 (195 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=136489262047819855288376914206335714340852614696933483607899 (pp60)
r2=1857666612711779720412189556198203291851731066548539051503265561481756735588862819165654194546343061517192718359446131327353952361469839 (pp136)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 63.80 hours.
Factorization parameters were as follows:
n: 253551545099903981339552716749610912602012918571998197523540506822127066561232430253389232344329269917730873222476789018962158611087527361311933988695166962965370240005660486171536180304390658261
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2900
c0: 7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33640169
Relations: 9373732 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 29.57 hours.
Total relation processing time: 0.36 hours.
Pruned matrix : 7979847 x 7980071
Matrix solve time: 33.64 hours.
time per square root: 0.23 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 63.80 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

131949058330570984995520731234084877769169677966958967893245291383613098952449993306003984212234807237972679108574212171498293634144996071164593254744123653046913157938219434168389224803697537235677902571457392021<213>

76743330607621935890209403439689004268516974830833882445095439593736685693720013866725944273756691886112897378289047138929245295501517665520809351042518451478367642894758430519499421778698697745069241008460290619054045829<221>

3302934458277443993849096574938711357<37>
23234893570260350053067167862588794163813633263247024102159673493782540476783075232758295602389592011433064808503159428463142053545530924039946394646587525492096779042162391945099390697<185>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3839014049
Step 1 took 17082ms
Step 2 took 9813ms
********** Factor found in step 2: 3302934458277443993849096574938711357
Found probable prime factor of 37 digits: 3302934458277443993849096574938711357
Probable prime cofactor 23234893570260350053067167862588794163813633263247024102159673493782540476783075232758295602389592011433064808503159428463142053545530924039946394646587525492096779042162391945099390697 has 185 digits

GMP-ECM 6.3

183857585637261207056338373347184292019918027927370686172004403062030993456150071627168349026579134237623092969201467712657346997793274308050857052730337452996795517547582499998727257055187972125339<198>

8444199853827988737184470825289505024298913027653298624760141047255489457853251453712681732283923117016227422684614959045630708934254624655316497345900632150271815881501669913315920810876129411730449493493598422972882471297<223>

1163174904870955716983523880830789696404215415771<49>
7259613166056742182875096767360877475234389957829249143784561016291578415897451623775921596308042272945113999534341841395196071667684037045060300814940115668630750529666077907<175>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1420900520
Step 1 took 622858ms
Step 2 took 146038ms
********** Factor found in step 2: 1163174904870955716983523880830789696404215415771
Found probable prime factor of 49 digits: 1163174904870955716983523880830789696404215415771

108109943140166568824653172214012117243263998108605311095733502056136306769325551172171229355371098092401887140419814350369484841905792244058687160305135835479817940863733283058006482259<186>

11103302972722783809649589850610637<35>

9736737203853452843968300068463684428918414383368866650245888565176642849854965540468765743804177146385015780375193250622556591437939874411204202069407<151>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=209054334
Step 1 took 12886ms
********** Factor found in step 1: 11103302972722783809649589850610637
Found probable prime factor of 35 digits: 11103302972722783809649589850610637
Composite cofactor 9736737203853452843968300068463684428918414383368866650245888565176642849854965540468765743804177146385015780375193250622556591437939874411204202069407 has 151 digits

GMP-ECM 6.3

9736737203853452843968300068463684428918414383368866650245888565176642849854965540468765743804177146385015780375193250622556591437939874411204202069407<151>

1043910921090045299433819295328094284657162906127659<52>

9327172469549808269585879540091958219282780548082913878906340256609779163029265359577508440482471773<100>

GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 9736737203853452843968300068463684428918414383368866650245888565176642849854965540468765743804177146385015780375193250622556591437939874411204202069407 (151 digits)
[Mon Sep 20 11:55:09 2021]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:6047663916909410291
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35    40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+07 2.2e+08 2.2e+09
Writing checkpoint to checkpnt at p = 43000000
Step 1 took 181828ms
Using 19 small primes for NTT
Estimated memory usage: 213.50MB
Initializing tables of differences for F took 47ms
Computing roots of F took 3593ms
Building F from its roots took 3219ms
Computing 1/F took 1344ms
Initializing table of differences for G took 63ms
Computing roots of G took 2906ms
Building G from its roots took 3125ms
Computing roots of G took 2890ms
Building G from its roots took 3110ms
Computing G * H took 766ms
Reducing  G * H mod F took 781ms
Computing roots of G took 2891ms
Building G from its roots took 3156ms
Computing G * H took 734ms
Reducing  G * H mod F took 766ms
Computing roots of G took 2890ms
Building G from its roots took 3125ms
Computing G * H took 750ms
Reducing  G * H mod F took 765ms
Computing roots of G took 2891ms
Building G from its roots took 3125ms
Computing G * H took 765ms
Reducing  G * H mod F took 766ms
Computing polyeval(F,G) took 6188ms
Computing product of all F(g_i) took 47ms
Step 2 took 51218ms
********** Factor found in step 2: 1043910921090045299433819295328094284657162906127659
Found prime factor of 52 digits: 1043910921090045299433819295328094284657162906127659
Composite cofactor 9327172469549808269585879540091958219282780548082913878906340256609779163029265359577508440482471773 has 100 digits
Peak memory usage: 299MB

GMP-ECM 7.0.5-dev

9327172469549808269585879540091958219282780548082913878906340256609779163029265359577508440482471773<100>

40906157317677154025592656126833707764655966848717<50>
228013900135253511991919638006921834268087131445969<51>

N=9327172469549808269585879540091958219282780548082913878906340256609779163029265359577508440482471773
  ( 100 digits)
Divisors found:
p50 factor: 40906157317677154025592656126833707764655966848717
p51 factor: 228013900135253511991919638006921834268087131445969
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 3.07 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 9327172469549808269585879540091958219282780548082913878906340256609779163029265359577508440482471773
skew: 5219813.12
c0: 59831466093057754943637955165
c1: -54012874782938327829752
c2: -12707957021959837
c3: 1418180408
c4: 408
Y0: -2186614535198784435369228
Y1: 1334905174075
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [900000, 1300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 221348 x 221580
Total sieving time: 3.01 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,99,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,52,52,2.5,2.5,100000
total time: 3.07 hours.
 --------- CPU info (if available) ----------

2392870721349932571070697096080219953300165932905431161598744906311549076793251988449015965237773074890313846975862844305404053406247078129640043835621399565000929235595567353<175>

387493664196676555160467134588800103377<39>
6175251216844168668758679786663148796069167839058776584078025439249042614864294591948841312855977310261305139108151634423082467134008489<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=469236202
Step 1 took 32818ms
********** Factor found in step 1: 387493664196676555160467134588800103377
Found probable prime factor of 39 digits: 387493664196676555160467134588800103377

30760190373757526965549647477611354540893551709471062616079942552692736458356536063141124571346140179491014311974093555527977453841152255517476561265283306656823405747064258037690779473831033213580730119635926629521085049804991<227>

186143816986086471702303542747<30>

165249595027143619184206854344379193480108661399239760040885852022518230068234029318201971327035886447579331453413677280320795289221680831670532729370970349813225648775016041465097477569182879670253<198>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=295725375
Step 1 took 17129ms
Step 2 took 9875ms
********** Factor found in step 2: 186143816986086471702303542747
Found probable prime factor of 30 digits: 186143816986086471702303542747
Composite cofactor 165249595027143619184206854344379193480108661399239760040885852022518230068234029318201971327035886447579331453413677280320795289221680831670532729370970349813225648775016041465097477569182879670253 has 198 digits

GMP-ECM 6.3

3058829771760848313609994826235614077425440726747258359828595992633348019274616065917076401357043233339968449996469551581899936316054380173843971108993539620354639613148761796030832397119625235895420032753<205>

61649443166851668502003738628097686960885897272275515466416683151762995194646004164932916978861306344808957149775408728203223929525167929115905938841586721215786289310152221845343572216704347624398457433041967<209>

2875772091934743744333861858587308386800913985791320650084536240271832824308554997530924653672156136411786678449441148947977561645018714953887611863737254618545125749987544747320279305884459<190>

56692197188620037046953756081651461<35>

50726065217878069599093293493204455423256190419819609487717167106666917250355049507673592143766678517023919941054095788629639240900245062730361611522244719<155>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3813163903
Step 1 took 32289ms
Step 2 took 11484ms
********** Factor found in step 2: 56692197188620037046953756081651461
Found probable prime factor of 35 digits: 56692197188620037046953756081651461

1533637130983769518242798767188436460646844776936974441725675999483217170897469112680392084380503410571001132405927095015748073553448338137583856237489950049438643858626790832044152672624476732265615162742432994732696831616743869431<232>

532867025724614573357496062224972715769694726929330874144550187646160155049533431999971721805996387843759370834088682321292617506213970788614342308952335263011656526830867372302137660626326429891067570783<204>

8081824410437178723102315559598163957173<40>

65934001861813480134063287353546849524255215135472378644360135825435426731349765916994890376213930135093916834722984414505942271452150460182126829232041587931925571<164>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=141926934
Step 1 took 10000ms
Step 2 took 5912ms
********** Factor found in step 2: 8081824410437178723102315559598163957173
Found probable prime factor of 40 digits: 8081824410437178723102315559598163957173
Composite cofactor 65934001861813480134063287353546849524255215135472378644360135825435426731349765916994890376213930135093916834722984414505942271452150460182126829232041587931925571 has 164 digits

GMP-ECM 6.3

8924269063981071106279807387044484987298481016834693060483637676912965806758900310265773051344284250300738106921540136984291114812681951539111064075203243918397007305828413653534393027660315462828033982179394421845341100877686457<229>

24569205799372368360640718404973352436079<41>

363229855163207825616411497064267132484469401074081897762640251897375220501360336370617968022537171553790163813921729962988358085429973185722701255314019738074362936781129558980933497796183<189>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2365300781
Step 1 took 167331ms
Step 2 took 50197ms
********** Factor found in step 2: 24569205799372368360640718404973352436079
Found probable prime factor of 41 digits: 24569205799372368360640718404973352436079

5597391218421607697696413041167755806431086025551630594255874962786163070064012025348390970545323441196660116727378437509271036022026802710907743877358220274148600801720585867137189283860507123174230361666522815089165439969<223>

94568354676983528790953357290936311840789247479506376756292425397807838465387485500354100461279481658871721000577445421817639605232418312561212378920557847621780914678300414472215347<182>

2388032296300854609885274593040838928345215941<46>
39600952978514240132168360189948243210388216172126430574738166155567204148151210377052616027812484456876163741771266154271697819729865367<137>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3198400222
Step 1 took 332823ms
Step 2 took 85348ms
********** Factor found in step 2: 2388032296300854609885274593040838928345215941
Found probable prime factor of 46 digits: 2388032296300854609885274593040838928345215941

8507230015272327850550475598199432312901823395253375040353077839731589661469365315628900018901421535641417005773380254211051147401337156602276926366493981291529856981905359230439989<181>

146847934198950102217965698075674327833412771503696091564394675684434045591261967342575120328030554488664724538194220581949539381519248161095870108734766974753247487677420883248348798721914872206834929734458439<210>

10740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740741<245>

766475343527616955093746195253555531<36>

14013158846451190457839908295538856176130392464474157368489290630077205435549342507372729112578977463985055859718052121649169590777209031738565186931053553799029135851341481400100688243638947122721627878892911<209>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=272611185
Step 1 took 49527ms
Step 2 took 15726ms
********** Factor found in step 2: 766475343527616955093746195253555531
Found probable prime factor of 36 digits: 766475343527616955093746195253555531

44061035514151703875734637442642251006633483461767495646368118762005432243466242012719970075278656629702644706983946799704196153457004651726978607931323687381524501300312944776894044735268314642699<197>

460738583489190145344076051289<30>

95631312620870321501349737004828583485080500441084829587748005863477259692872614377666925375270077156348011812000803481776616424440039832611095061500450521389560018691<167>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3653764290
Step 1 took 9891ms
Step 2 took 5663ms
********** Factor found in step 2: 460738583489190145344076051289
Found probable prime factor of 30 digits: 460738583489190145344076051289
Composite cofactor 95631312620870321501349737004828583485080500441084829587748005863477259692872614377666925375270077156348011812000803481776616424440039832611095061500450521389560018691 has 167 digits

GMP-ECM 6.3

7944869200017466643187631080069152070602958388255214306065135939385107492894700020564858982446213417940810448736538228707452322817787125756410666687991606090548151600680060486479247434757856285315164166429782707107<214>

1202790843021890414154358725191487313148021801<46>

6605362225785478920897995378820962627881589198981481329180147674335354480681972735440997910702248052087628375026764102870817107434135390625270061030617744312513438454507<169>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=874490075
Step 1 took 459816ms
Step 2 took 111434ms
********** Factor found in step 2: 1202790843021890414154358725191487313148021801
Found probable prime factor of 46 digits: 1202790843021890414154358725191487313148021801

95277883622569024415894154770186044841534497783311766474894730100742970054565556447036403236508490159426172477903006746218676037844378376518385096900738058483721724403051241244217643451797239426541533452014934304704055086498830641<230>

867669088405060878351159084648915048669370392510265991603661976196946702775447929949702761940730627339790584155978198730465364796613886799613175408463709319557524827437836937072043810698002054441361992338607941537353739433<222>

117665709540519844420787593511139021113047683564974099084751049928792832626279272112127271344390125815997283861144561952471023035731675310985148636948534536456267457226717697798585409913<186>

3580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580247<250>

861164225944999281926612472394334393224352469931157941484182392124832719988711656894076991688780160270494336237659551980888272511754004416024622787107916724684255845922488512952209293147701628918530112150694837564193403049659287107581<234>

233062875464777872357314253157629373321007309508597844028162108484468097402750872392945251560614869104984498719285919015181484904476890062016948795404409526202508015497594070007735347122534961702816582322423883754960356247377768569933596513<240>

612705707577456495363132711521496370109<39>

380383065772754749778583823057104644396764337989967779996741508931176799427143902447531773097689022382476452923170199980783465858122989265056659124064309898505919378969944096617484684147316999567536757<201>

Run 120 out of 320:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4230344902
Step 1 took 94980ms
********** Factor found in step 1: 612705707577456495363132711521496370109
Found probable prime factor of 39 digits: 612705707577456495363132711521496370109
Composite cofactor 380383065772754749778583823057104644396764337989967779996741508931176799427143902447531773097689022382476452923170199980783465858122989265056659124064309898505919378969944096617484684147316999567536757 has 201 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

188037788350223924682209810489205383077091228971178633544047756724998074655688243272925718195800819429230973429845095551958106222448142091641475766845598132923580870118196494172501713967983382283610920892278791<210>

688948611186821752596301290185252219269967231643524959389572598939635018634406873161885201202499729651984238399704315378803046385084142196120296593398339446111938393960938906832071227210857979982145210034938041<210>

671746406170415997034752811466740735307705925815331534200103838012783982923691267470025186077348496221980309624897720777223372642435015463053930885400934480295959996781298455748335813752826681471224980842495340137824222942793161845483<234>

16664539597306883508707043956319385299818449566262132822795297372802601188665569303031651138087253383382480672830544186115030266841621821481159720399884458949857037034196114217055722527506919234835473245420011205586789380716051172043<233>

39436618242960049740127638435107608914695739798573250513782901189866555988968581023008094135844278026871953282512595580841792294062675115292963704667430601212459153247827094982168690783433478378246197<200>

9239418404736673867359610302996531363030544529584092040919663671151639660643171207984182880332613964960365921749708806984949337879382068971493749836119798553916323430237946565384799315212539917075264015584413763840529295057545168728825204445230750810751<253>

513956057056114714311957953880825622762003780780735844140053482411412553331653588474809339233911190685324901086341656753628800957628411658401647430289521692936257058336579888174961499335515957<192>

9011883787199613089928854029954651<34>

57030923743838397480430527803414780125557710698175988294509406106110578641122582005537098996458407155166601531773492653581244144445370566636203825483137023407<158>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1100264557
Step 1 took 33946ms
Step 2 took 12051ms
********** Factor found in step 2: 9011883787199613089928854029954651
Found probable prime factor of 34 digits: 9011883787199613089928854029954651
Composite cofactor 57030923743838397480430527803414780125557710698175988294509406106110578641122582005537098996458407155166601531773492653581244144445370566636203825483137023407 has 158 digits

57030923743838397480430527803414780125557710698175988294509406106110578641122582005537098996458407155166601531773492653581244144445370566636203825483137023407<158>

87535597205793433506136577687808080085269<41>
17154689987969773569352690077304781270521271152085107<53>
37978939438056702035767270584294924032038335791911670536044468929<65>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1219351715
Step 1 took 55097ms
Step 2 took 20705ms
********** Factor found in step 2: 87535597205793433506136577687808080085269
Found probable prime factor of 41 digits: 87535597205793433506136577687808080085269
Composite cofactor 651516932131741684810293209998681188781596258947558406589811237991509422684438083602797646976466744216159172825140403 has 117 digits

N = 651516932131741684810293209998681188781596258947558406589811237991509422684438083602797646976466744216159172825140403 (117 digits)
Divisors found:
r1=17154689987969773569352690077304781270521271152085107 (pp53)
r2=37978939438056702035767270584294924032038335791911670536044468929 (pp65)
Version: Msieve v. 1.52 (SVN exported)
Total time: 4.17 hours.
Factorization parameters were as follows:
n: 651516932131741684810293209998681188781596258947558406589811237991509422684438083602797646976466744216159172825140403
skew: 46519.51
c0: 259673548687207573883959645
c1: -44562895957415452176458
c2: 3246304761783493631
c3: -202873303159834
c4: -2621885796
c5: 10620
Y0: -36104455839106961150886
Y1: 952468594871
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10585684
Relations: 1103254 relations
Pruned matrix : 626217 x 626465
Polynomial selection time: 0.00 hours.
Total sieving time: 3.77 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.22 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: gnfs,116,5,63,2000,2.6e-05,0.28,250,20,50000,3600,4900000,4900000,27,27,54,54,2.5,2.5,100000
total time: 4.17 hours.

1082742104409552649569561321530884523110888349706443619459947768058478692021821700860376744447160452992264421184200134715315284843790727983661762653380343545284164236894763890437752113376868363053005837198156004583870335354319<226>

5977306169708015555116856209126047293495405700190220964738058562765781889746649712196187767787346950840130410187940711313443231410049633677519455633606002018177590247993506459078521221393807296070385790507131849383646270857949741705404482100817<244>

234831450378712477228524304547616068808425490479899777972713806750454187352652327424299091328158413197660874941008843847917165522287705352072520620305895587807251441828198211260516719473308589160070207115952940821586660342749<225>

6585414836243922946739984813426467096639<40>

35659325375567631060039105533769768139111303660903485817940763064696623445098134963329368279929537278892813800750492974333119053157209646420622720804140282858973643448467848421099787491<185>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3754738653
Step 1 took 22311ms
Step 2 took 7341ms
********** Factor found in step 2: 6585414836243922946739984813426467096639
Found probable prime factor of 40 digits: 6585414836243922946739984813426467096639

368225851825588695986311592516586491873254141430090586114264645571731878976409027614766188441016278263817117688703414272157352820287901427110233921018001183534851535472265322704126514751195079680031913594551872378446667198833399016552909<237>

510303927022712388409723637245963874982929525559478417140844895055774253524940272320606243736257053211227466971120832700576864119583674057795902005992515788929358465593953299383120116140780539877528914867306194955073763516598188871181347593<240>