1071796202761655680975767715160548894626826466165230156972830778309328057835702269408135222770727052795304362435081217609366667969227<133>

3958588948165095373557421558315246987<37>
270752082824477123437977810221348106655215927606556266395115229672809633068748701952340775747521<96>

Number: trial
N=1071796202761655680975767715160548894626826466165230156972830778309328057835702269408135222770727052795304362435081217609366667969227
  ( 133 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=3958588948165095373557421558315246987 (pp37)
 r2=270752082824477123437977810221348106655215927606556266395115229672809633068748701952340775747521 (pp96)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 49.08 hours.
Scaled time: 25.13 units (timescale=0.512).
Factorization parameters were as follows:
n: 1071796202761655680975767715160548894626826466165230156972830778309328057835702269408135222770727052795304362435081217609366667969227
m: 2000000000000000000000000000000
c5: 250
c0: -3
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, 2100001)
Primes: RFBsize:176302, AFBsize:176393, largePrimes:5374741 encountered
Relations: rels:5178886, finalFF:405889
Max relations in full relation-set: 0
Initial matrix: 352761 x 405889 with sparse part having weight 35888798.
Pruned matrix : 327530 x 329357 with weight 25113503.
Total sieving time: 38.95 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 9.27 hours.
Time per square root: 0.50 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 49.08 hours.
 --------- CPU info (if available) ----------

GGNFS-0.77.1-20060722-pentium4

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

61115355233002291825821237585943468296409472880061115355233002291825821237585943468296409472880061115355233002291825821237585943468296409472880061115355233<155>

483761069946232439153779120078097<33>
436213016886190495057964600551787363398983829<45>
289614834453526840832030464582741641059169146938996316648050252271982757768141<78>

GMP-ECM 5.0 [powered by GMP 4.1.2] [ECM]
Input number is 61115355233002291825821237585943468296409472880061115355233002291825821237585943468296409472880061115355233002291825821237585943468296409472880061115355233 (155 digits)
Using B1=695000, B2=499921551, polynomial Dickson(3), sigma=3786599947
Step 1 took 15100ms
Step 2 took 10520ms
********** Factor found in step 2: 483761069946232439153779120078097
Found probable prime factor of 33 digits: 483761069946232439153779120078097
Composite cofactor 126333760671967568596793372125212909881306461592993045537085173685497608635758283948439567406499845534841917918495390391889 has 123 digits


Number: n
N=126333760671967568596793372125212909881306461592993045537085173685497608635758283948439567406499845534841917918495390391889
  ( 123 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=436213016886190495057964600551787363398983829 (pp45)
 r2=289614834453526840832030464582741641059169146938996316648050252271982757768141 (pp78)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 21.82 hours.
Scaled time: 31.43 units (timescale=1.440).
Factorization parameters were as follows:
name: KA_7_9_156_7

# n: 61115355233002291825821237585943468296409472880061115355233002291825821237585943468296409472880061115355233002291825821237585943468296409472880061115355233

n: 126333760671967568596793372125212909881306461592993045537085173685497608635758283948439567406499845534841917918495390391889
skew: 0.65
deg: 5
c5: 25
c0: -3
m: 20000000000000000000000000000000
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, 1000001)
Primes: RFBsize:216816, AFBsize:216986, largePrimes:6644013 encountered
Relations: rels:6128099, finalFF:494219
Max relations in full relation-set: 28
Initial matrix: 433866 x 494219 with sparse part having weight 28895318.
Pruned matrix : 378977 x 381210 with weight 17891718.
Total sieving time: 18.85 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.72 hours.
Total square root time: 0.05 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 21.82 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

705514761235373466365712554295053490555390684232165126019501416207453667149193594120119006252562816485365473350050841393<120>

14692417462058974457446490078935236626410262041<47>
48018970537507694295810504240418883922125431142142818767721221650978656473<74>

Number: 79997_160
N=705514761235373466365712554295053490555390684232165126019501416207453667149193594120119006252562816485365473350050841393
  ( 120 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=14692417462058974457446490078935236626410262041 (pp47)
 r2=48018970537507694295810504240418883922125431142142818767721221650978656473 (pp74)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 60.89 hours.
Scaled time: 41.22 units (timescale=0.677).
Factorization parameters were as follows:
name: 79997_160
n: 705514761235373466365712554295053490555390684232165126019501416207453667149193594120119006252562816485365473350050841393
m: 100000000000000000000000000000000
c5: 8
c0: -3
skew: 0.82
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3500001)
Primes: RFBsize:283146, AFBsize:283367, largePrimes:5694153 encountered
Relations: rels:5794190, finalFF:713570
Max relations in full relation-set: 28
Initial matrix: 566578 x 713570 with sparse part having weight 44691099.
Pruned matrix : 447630 x 450526 with weight 27726964.
Total sieving time: 52.59 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 7.83 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 60.89 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

6611570247933884297520661157024793388429752066115702479338842975206611570247933884297520661157024793388429752066115702479338842975206611570247933884297520661157<160>

250747836796484155922888159263112237486391376320671<51>
26367406923235271511544763325616291041131768180892905671230128715401910040795595415317934691655387997292702267<110>

r1 = 26367406923235271511544763325616291041131768180892905671230128715401910040795595415317934691655387997292702267
r2 = 250747836796484155922888159263112237486391376320671

Total time: 42.61 hours.
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [2250000, 3850001)
Relations: rels:5942000, finalFF:809129
Initial matrix: 631709 x 809129 with sparse part having weight 46075762.
Pruned matrix : 557525 x 560747 with weight 22467359.
Total sieving time: 39.60 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.76 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 42.61 hours.

ggnfs-0.77.0

Athlon64 2.2GHz; Ubuntu-6.06 Linux

1038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961<163>

89581069649366015235300671433024669118796111357<47>
1328960328047374779277655762328347541585843851574289<52>
8727121078291846984177702899623421473981265858116567223440296757<64>

Number: n
N=1038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961
  ( 163 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=89581069649366015235300671433024669118796111357 (pp47)
 r2=1328960328047374779277655762328347541585843851574289 (pp52)
 r3=8727121078291846984177702899623421473981265858116567223440296757 (pp64)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 56.88 hours.
Scaled time: 68.02 units (timescale=1.196).
Factorization parameters were as follows:
name: KA_7_9_162_7
n: 1038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961
type: snfs
skew: 0.41
deg: 5
c5: 250
c0: -3
m: 200000000000000000000000000000000
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
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, 2300001)
Primes: RFBsize:216816, AFBsize:216651, largePrimes:7103403 encountered
Relations: rels:6546431, finalFF:496607
Max relations in full relation-set: 28
Initial matrix: 433533 x 496607 with sparse part having weight 35754138.
Pruned matrix : 386820 x 389051 with weight 24746569.
Total sieving time: 51.96 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 4.31 hours.
Total square root time: 0.34 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.3,2.3,100000
total time: 56.88 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

94313214148489751044938333673146072975334264745314854032057103112534219590158864581547038665158722147201677864718693254571491023<128>

18999269464663877966125576661<29>
5307586564792536865694064565220881786182872779<46>
935273344920036478019602994707096223631982392496166617<54>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 94313214148489751044938333673146072975334264745314854032057103112534219590158864581547038665158722147201677864718693254571491023 (128 digits)
Using B1=542000, B2=350784979, polynomial Dickson(3), sigma=441525674
Step 1 took 4909ms
Step 2 took 2588ms
********** Factor found in step 2: 18999269464663877966125576661
Found probable prime factor of 29 digits: 18999269464663877966125576661
Composite cofactor 4964044239906161870476855656801449522869998195582208895845589159358843507206718978911380698097818643 has 100 digits


Number: n
N=4964044239906161870476855656801449522869998195582208895845589159358843507206718978911380698097818643
  ( 100 digits)
Divisors found:
 r1=5307586564792536865694064565220881786182872779 (pp46)
 r2=935273344920036478019602994707096223631982392496166617 (pp54)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 4.17 hours.
Scaled time: 7.63 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_7_9_165_7
n: 4964044239906161870476855656801449522869998195582208895845589159358843507206718978911380698097818643
skew: 11740.72
# norm 9.09e+13
c5: 18900
c4: -286790748
c3: -9341293608541
c2: 21518992260573429
c1: 507960725404261725909
c0: -1621065082208637890886413
# alpha -5.89
Y1: 14187730073
Y0: -12130433167648029208
# Murphy_E 3.39e-09
# M 2833834172188564969898722875963018176226523725892070100671241162145110381032161315411329682313695471
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 [100000, 800001)
Primes: RFBsize:135072, AFBsize:135007, largePrimes:3475063 encountered
Relations: rels:3445984, finalFF:390014
Max relations in full relation-set: 48
Initial matrix: 270160 x 390014 with sparse part having weight 22376727.
Pruned matrix : 161780 x 163194 with weight 7262992.
Total sieving time: 3.89 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.10 hours.
Total square root time: 0.08 hours, sqrts: 3.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 4.17 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

1024327784891165172855313700384122919334186939820742637644046094750320102432778489116517285531370038412291933418693982074263764404609475032010243277848911651728553137<166>

6263376936571872349805965794179<31>
48366409729269876335151280681703887<35>
3381322183264895436089159421503432927307771620830849708685343102501831818018700928611257460676963669<100>

GMP-ECM 5.0 [powered by GMP 4.1.2] [ECM]
Input number is 1024327784891165172855313700384122919334186939820742637644046094750320102432778489116517285531370038412291933418693982074263764404609475032010243277848911651728553137 (166 digits)
Using B1=184500, B2=75546958, polynomial x^2, sigma=2920380262
Step 1 took 4370ms
Step 2 took 2830ms
********** Factor found in step 2: 6263376936571872349805965794179
Found probable prime factor of 31 digits: 6263376936571872349805965794179
Composite cofactor 163542414142459298443015674995030408132720759235228546770347163887159110920672512427520661294652877369835414028372807080082104515081403 has 135 digits


GMP-ECM 5.0 [powered by GMP 4.1.2] [ECM]
Input number is 163542414142459298443015674995030408132720759235228546770347163887159110920672512427520661294652877369835414028372807080082104515081403 (135 digits)
Using B1=595000, B2=400656085, polynomial Dickson(3), sigma=3381076491
Step 1 took 9870ms
Step 2 took 7100ms
********** Factor found in step 2: 48366409729269876335151280681703887
Found probable prime factor of 35 digits: 48366409729269876335151280681703887
Probable prime cofactor 3381322183264895436089159421503432927307771620830849708685343102501831818018700928611257460676963669 has 100 digits

36735004421287046871645786893404694611759911810832769307831335234685028075163714623640129986468296706960744230461691070339391812014777047625593680940926665023<158>

1329287407066634342417708533382270111835295739849982262342044058728813534610871<79>
27635110530649598980061095653778265322075333231930656337853079914922096864534713<80>

N=36735004421287046871645786893404694611759911810832769307831335234685028075163714623640129986468296706960744230461691070339391812014777047625593680940926665023
  ( 158 digits)

SNFS difficulty: 170 digits.

Divisors found:

 r1=1329287407066634342417708533382270111835295739849982262342044058728813534610871 (pp79)

 r2=27635110530649598980061095653778265322075333231930656337853079914922096864534713 (pp80)

Version: GGNFS-0.77.1-20060513-prescott

Total time: 108.76 hours.

Scaled time: 123.12 units (timescale=1.132).

Factorization parameters were as follows:
n: 36735004421287046871645786893404694611759911810832769307831335234685028075163714623640129986468296706960744230461691070339391812014777047625593680940926665023
m: 10000000000000000000000000000000000
c5: 8
c0: -3
skew: 0.82
type: snfs




Factor base limits: 6000000/6000000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3000000, 6800001)

Primes: RFBsize:412849, AFBsize:412856, largePrimes:5993930 encountered

Relations: rels:6267516, finalFF:937691

Max relations in full relation-set: 28

Initial matrix: 825770 x 937691 with sparse part having weight 51657631.

Pruned matrix : 732164 x 736356 with weight 37657512.

Total sieving time: 100.31 hours.

Total relation processing time: 0.18 hours.

Matrix solve time: 7.99 hours.

Time per square root: 0.28 hours.

Prototype def-par.txt line would be:

snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000

total time: 108.76 hours.

27247182698357778580381387467209420555384297551469051098504740347342384899649494625896811642647599614993221394799834992423937880210806139336567953109587620463243181<164>

161588169710480273544767312890977071902081766318608100651<57>
168621148114846076028702461887800700665968272691501216143530445055605532067216607241423609435786388774673031<108>

N=27247182698357778580381387467209420555384297551469051098504740347342384899649494625896811642647599614993221394799834992423937880210806139336567953109587620463243181
  ( 164 digits)

SNFS difficulty: 172 digits.

Divisors found:
 r1=161588169710480273544767312890977071902081766318608100651 (pp57)

 r2=168621148114846076028702461887800700665968272691501216143530445055605532067216607241423609435786388774673031 (pp108)

Version: GGNFS-0.77.1-20060513-prescott

Total time: 109.34 hours.

Scaled time: 185.99 units (timescale=1.701).

Factorization parameters were as follows:

n: 27247182698357778580381387467209420555384297551469051098504740347342384899649494625896811642647599614993221394799834992423937880210806139336567953109587620463243181
m: 20000000000000000000000000000000000
c5: 5
c0: -6
skew: 1.04
type: snfs


Factor base limits: 6000000/6000000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3000000, 7100001)

Primes: RFBsize:412849, AFBsize:411941, largePrimes:6008728 encountered

Relations: rels:6280371, finalFF:935359

Max relations in full relation-set: 28

Initial matrix: 824855 x 935359 with sparse part having weight 54634880.

Pruned matrix : 732551 x 736739 with weight 40305644.

Total sieving time: 100.86 hours.

Total relation processing time: 0.17 hours.

Matrix solve time: 8.11 hours.

Time per square root: 0.20 hours.

Prototype def-par.txt line would be:

snfs,172,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000

total time: 109.34 hours.

4278074866310160427807486631016042780748663101604278074866310160427807486631016042780748663101604278074866310160427807486631016042780748663101604278074866310160427807486631<172>

16714781670858896574412244553011<32>
255945602554216888346456751285955406140848117378586326431440585310105420050084687172161632857854573720137957976799629434184623898942614879421<141>

GMP-ECM 5.0 [powered by GMP 4.1.2] [ECM]
Input number is 4278074866310160427807486631016042780748663101604278074866310160427807486631016042780748663101604278074866310160427807486631016042780748663101604278074866310160427807486631 (172 digits)
Using B1=235000, B2=106641406, polynomial Dickson(3), sigma=3960340668
Step 1 took 5570ms
Step 2 took 3540ms
********** Factor found in step 2: 16714781670858896574412244553011
Found probable prime factor of 32 digits: 16714781670858896574412244553011
Probable prime cofactor 255945602554216888346456751285955406140848117378586326431440585310105420050084687172161632857854573720137957976799629434184623898942614879421 has 141 digits

286133266568904467255624307020995028434493365284881433527665510211380950677778175185092456811760077255981973604206159018562895668657677313208626917987052469687757072856683<171>

804673696565514864785886378683159<33>

355589188251300183599349551020909011128214064008671840079518563313901833340223003003363699479461924771115130765652610192085570225362572237<138>

Using B1=1000000, B2=5704990210, polynomial Dickson(6), sigma=3983113208
Step 1 took 6301ms
Step 2 took 6972ms
********** Factor found in step 2: 804673696565514864785886378683159
Found probable prime factor of 33 digits: 804673696565514864785886378683159
Composite cofactor 355589188251300183599349551020909011128214064008671840079518563313901833340223003003363699479461924771115130765652610192085570225362572237 has 138 digits

GMP-ECM 6.2.1

Opteron-2.8GHz; Linux x86_64

355589188251300183599349551020909011128214064008671840079518563313901833340223003003363699479461924771115130765652610192085570225362572237<138>

762478770349918024338077777597021666158063415585886713851<57>
466359460851759324953704351694181428077692642870980953863970286319829666479747287<81>

Number: 79997_174
N=355589188251300183599349551020909011128214064008671840079518563313901833340223003003363699479461924771115130765652610192085570225362572237
  ( 138 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=762478770349918024338077777597021666158063415585886713851 (pp57)
 r2=466359460851759324953704351694181428077692642870980953863970286319829666479747287 (pp81)
Version: Msieve v. 1.46
Total time:
Scaled time: 29.01 units (timescale=1.834).
Factorization parameters were as follows:
n: 355589188251300183599349551020909011128214064008671840079518563313901833340223003003363699479461924771115130765652610192085570225362572237
m: 20000000000000000000000000000000000
deg: 5
c5: 2500
c0: -3
skew: 0.26
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 400000
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 6100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 874900 x 875128
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time:

148423005565862708719851576994434137291280148423005565862708719851576994434137291280148423005565862708719851576994434137291280148423005565862708719851576994434137291280148423<174>

23845405656471461086656552291936781<35>
6224385850428249598700767268572320083297682242040150160618374892128763951342044866744404597104779601236466339628501125503574499709383067683<139>

N=148423005565862708719851576994434137291280148423005565862708719851576994434137291280148423005565862708719851576994434137291280148423005565862708719851576994434137291280148423
  ( 174 digits)

SNFS difficulty: 175 digits.

Divisors found:

 r1=23845405656471461086656552291936781 (pp35)

 r2=6224385850428249598700767268572320083297682242040150160618374892128763951342044866744404597104779601236466339628501125503574499709383067683 (pp139)

Version: GGNFS-0.77.1-20060513-prescott

Total time: 164.37 hours.

Scaled time: 191.16 units (timescale=1.163).

Factorization parameters were as follows:

n: 148423005565862708719851576994434137291280148423005565862708719851576994434137291280148423005565862708719851576994434137291280148423005565862708719851576994434137291280148423
m: 100000000000000000000000000000000000
c5: 8
c0: -3
skew: 0.82
type: snfs


Factor base limits: 7400000/7400000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3700000, 9999999
)

Primes: RFBsize:501962, AFBsize:502156, largePrimes:6367552 encountered

Relations: rels:6839182, finalFF:1153977

Max relations in full relation-set: 28

Initial matrix: 1004183 x 1153977 with sparse part having weight 64267694.
Pruned matrix : 872629 x 877713 with weight 47053168.

Total sieving time: 156.72 hours.
Total relation processing time: 0.14 hours.

Matrix solve time: 7.16 hours.

Time per square root: 0.34 hours.

Prototype def-par.txt line would be:

snfs,175,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000

total time: 164.37 hours.

4167816596570806767884749543476102973243798789549235590480929942385915332532540633197392573967359176363484421939597930455852548293931291<136>

190029530862569278986703135990260330110955446415043<51>
21932467957230298341619017369648578089420904024921317587583743517855993907122265652937<86>

N = 4167816596570806767884749543476102973243798789549235590480929942385915332532540633197392573967359176363484421939597930455852548293931291 (136 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=190029530862569278986703135990260330110955446415043 (pp51)
r2=21932467957230298341619017369648578089420904024921317587583743517855993907122265652937 (pp86)
Version: Msieve v. 1.48
Total time: 26.71 hours.
Factorization parameters were as follows:
name: 8*10^176-3
n: 4167816596570806767884749543476102973243798789549235590480929942385915332532540633197392573967359176363484421939597930455852548293931291
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -3
c1: 0
c2: 0
c3: 0
c4: 0
c5: 80
skew: 0.52
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19719578
Relations: 2223668 relations
Pruned matrix : 1250903 x 1251126
Polynomial selection time: 0.00 hours.
Total sieving time: 24.37 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.07 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 26.71 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

38510710529011665890683872571775143066447193485516653699227894432148910596745266336872815831957205242499609489360638781391722874693412021369574017193308896907535548141741<170>

1368434659080835998660677905674175736342538899<46>
110145405547645557907502883054878153124563676630307<51>
255500103225437908497209958775944280960311725003063554806182619789500986037<75>

Number: 79997_177
N=38510710529011665890683872571775143066447193485516653699227894432148910596745266336872815831957205242499609489360638781391722874693412021369574017193308896907535548141741
  ( 170 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=1368434659080835998660677905674175736342538899
 r2=110145405547645557907502883054878153124563676630307
 r3=255500103225437908497209958775944280960311725003063554806182619789500986037
Version: 
Total time: 104.07 hours.
Scaled time: 209.28 units (timescale=2.011).
Factorization parameters were as follows:
n: 38510710529011665890683872571775143066447193485516653699227894432148910596745266336872815831957205242499609489360638781391722874693412021369574017193308896907535548141741
m: 200000000000000000000000000000000000
deg: 5
c5: 25
c0: -3
skew: 0.65
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3250000, 6150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 930486 x 930734
Total sieving time: 104.07 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,177,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 104.07 hours.
 --------- CPU info (if available) ----------

552056934044865361997101062240173645064213484476771549628457561155785035389116576331875369436832502037704386844911087811703713768155944225979024759<147>

6962075366956689308724998861929856448863368004501347<52>
79294880469842474499718889188556098136245653042745057174962746599764101524074216893723729170397<95>

Number: 797-1
N=552056934044865361997101062240173645064213484476771549628457561155785035389116576331875369436832502037704386844911087811703713768155944225979024759
  ( 147 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=6962075366956689308724998861929856448863368004501347 (pp52)
 r2=79294880469842474499718889188556098136245653042745057174962746599764101524074216893723729170397 (pp95)
Version: Msieve-1.40
Total time: 106.09 hours.
Scaled time: 197.96 units (timescale=1.866).
Factorization parameters were as follows:
n: 552056934044865361997101062240173645064213484476771549628457561155785035389116576331875369436832502037704386844911087811703713768155944225979024759
m: 1000000000000000000000000000000000000
deg: 5
c5: 80
c0: -3
skew: 0.52
# Murphy_E = 1.38e-10
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3750000, 5350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1387681 x 1387912
Total sieving time: 103.69 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.08 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 106.09 hours.
 --------- CPU info (if available) ----------

52676193724013692214000948939525477308966426937726522465107209231997313122963009966007590480657800121361565525826130320404462321698256804771734587245056438232787091<164>

3200915410197558946108301126563<31>
16456602869353096430189233547034000220094751192335801441349696122224558115436230108977366054340110982446113898104412344324225790271057<134>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3050675837
Step 1 took 20201ms
********** Factor found in step 1: 3200915410197558946108301126563
Found probable prime factor of 31 digits: 3200915410197558946108301126563
Probable prime cofactor 16456602869353096430189233547034000220094751192335801441349696122224558115436230108977366054340110982446113898104412344324225790271057 has 134 digits

GMP-ECM 6.2.1

21124370982845143451667446562664337218266239878088370153264547542320164749883311459787567414877391566673350218968935751046518307242026334957163<143>

27528375328471249634515332643154193031367695984282582634048225019525407<71>
767367152285127473455741479139795511914501487959909555147104208113075509<72>

Number: 797-2
N=21124370982845143451667446562664337218266239878088370153264547542320164749883311459787567414877391566673350218968935751046518307242026334957163
  ( 143 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=27528375328471249634515332643154193031367695984282582634048225019525407 (pp71)
 r2=767367152285127473455741479139795511914501487959909555147104208113075509 (pp72)
Version: Msieve-1.40
Total time: 183.52 hours.
Scaled time: 342.45 units (timescale=1.866).
Factorization parameters were as follows:
n: 21124370982845143451667446562664337218266239878088370153264547542320164749883311459787567414877391566673350218968935751046518307242026334957163
m: 10000000000000000000000000000000000000
deg: 5
c5: 80
c0: -3
skew: 0.52
# Murphy_E = 8.644e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4550000, 7350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1247303 x 1247530
Total sieving time: 181.52 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 1.65 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time: 183.52 hours.
 --------- CPU info (if available) ----------

104100542562208641642234651136659377755531210598834695776508578463950586891852897185489636616249771223411895970703292703533957100104680834341597160300858384826038509415081711789<177>

2364849667500297509709099688665428840651766981848919024169126441343<67>
44019940883703359246377023692246480957178918076673855157521222523885939887091677503641447511680056350171706323<110>

Number: n
N=104100542562208641642234651136659377755531210598834695776508578463950586891852897185489636616249771223411895970703292703533957100104680834341597160300858384826038509415081711789
  ( 177 digits)
SNFS difficulty: 188 digits.
Divisors found:

Thu Feb 23 03:14:09 2012  prp67 factor: 2364849667500297509709099688665428840651766981848919024169126441343
Thu Feb 23 03:14:09 2012  prp110 factor: 44019940883703359246377023692246480957178918076673855157521222523885939887091677503641447511680056350171706323
Thu Feb 23 03:14:09 2012  elapsed time 03:27:01 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.656).
Factorization parameters were as follows:
name: KA_79997_188
n: 104100542562208641642234651136659377755531210598834695776508578463950586891852897185489636616249771223411895970703292703533957100104680834341597160300858384826038509415081711789
m: 20000000000000000000000000000000000000
#  c177, diff: 188.9
skew: 0.41
deg: 5
c5: 250
c0: -3
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9127087 hash collisions in 80415502 relations (76162986 unique)
Msieve: matrix is 1218250 x 1218498 (336.2 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,188,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.76 BogoMIPS (lpj=2797881)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797552)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44761.52 BogoMIPS).

329118281681116037832199733835757847125563255745479715410976996469273829153490804679006895529340257351617648445783990112570731112519550566556767282798931399121061717863511<171>

67745599381846435116188858009574323181877244535685404012839<59>
4858149971130210098169080914968789249648989084189141298627948610890660907446489122255152328754013869689330829649<112>

Number: 797-3
N=329118281681116037832199733835757847125563255745479715410976996469273829153490804679006895529340257351617648445783990112570731112519550566556767282798931399121061717863511
  ( 171 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=67745599381846435116188858009574323181877244535685404012839 (pp59)
 r2=4858149971130210098169080914968789249648989084189141298627948610890660907446489122255152328754013869689330829649 (pp112)
Version: Msieve-1.40
Total time: 231.56 hours.
Scaled time: 402.69 units (timescale=1.739).
Factorization parameters were as follows:
n: 329118281681116037832199733835757847125563255745479715410976996469273829153490804679006895529340257351617648445783990112570731112519550566556767282798931399121061717863511
m: 100000000000000000000000000000000000000
deg: 5
c5: 8
c0: -3
skew: 0.82
# Murphy_E = 5.702e-11
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5300000, 8900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1619369 x 1619594
Total sieving time: 228.13 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 2.99 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,190.000,5,0,0,0,0,0,0,0,0,10600000,10600000,28,28,54,54,2.5,2.5,100000
total time: 231.56 hours.
 --------- CPU info (if available) ----------

1286734115334833756339427596989670471911721250507876114520324355393079888928171147835758752758049020132864331740448363247276530068064593864101718790926527<154>

905065089155607263951731631914472339068732556141926108001080906199<66>
1421703400951316972039920842465882113978537225387638566043052833122496494950033356426073<88>

Number: 797-4
N=1286734115334833756339427596989670471911721250507876114520324355393079888928171147835758752758049020132864331740448363247276530068064593864101718790926527
  ( 154 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=905065089155607263951731631914472339068732556141926108001080906199 (pp66)
 r2=1421703400951316972039920842465882113978537225387638566043052833122496494950033356426073 (pp88)
Version: Msieve-1.40
Total time: 236.79 hours.
Scaled time: 457.71 units (timescale=1.933).
Factorization parameters were as follows:
n: 1286734115334833756339427596989670471911721250507876114520324355393079888928171147835758752758049020132864331740448363247276530068064593864101718790926527
m: 100000000000000000000000000000000000000
deg: 5
c5: 80
c0: -3
skew: 0.52
# Murphy_E = 5.39e-11
type: snfs
lss: 1
rlim: 11100000
alim: 11100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5550000, 9150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1762467 x 1762694
Total sieving time: 232.85 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.50 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,11100000,11100000,28,28,54,54,2.5,2.5,100000
total time: 236.79 hours.
 --------- CPU info (if available) ----------

6885080171360598600548736257249237045576469706623929596359297523807359477794902657729515497831845781549215301441785915905715172207520669230290496668933211249347553<163>

7327699661258436144762673626967901117192734896541770283610236935879499768751<76>
939596393089366402606686579884512081990813610338057383388364254105899957770775269416303<87>

N=6885080171360598600548736257249237045576469706623929596359297523807359477794902657729515497831845781549215301441785915905715172207520669230290496668933211249347553
  ( 163 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=7327699661258436144762673626967901117192734896541770283610236935879499768751 (pp76)
 r2=939596393089366402606686579884512081990813610338057383388364254105899957770775269416303 (pp87)
Version: Msieve-1.40
Total time: 319.96 hours.
Scaled time: 622.64 units (timescale=1.946).
Factorization parameters were as follows:
n: 6885080171360598600548736257249237045576469706623929596359297523807359477794902657729515497831845781549215301441785915905715172207520669230290496668933211249347553
m: 200000000000000000000000000000000000000
deg: 5
c5: 250
c0: -3
skew: 0.41
# Murphy_E = 3.557e-11
type: snfs
lss: 1
rlim: 11900000
alim: 11900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5950000, 10750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2016354 x 2016580
Total sieving time: 313.98 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 4.65 hours.
Time per square root: 1.08 hours.
Prototype def-par.txt line would be:
snfs,193.000,5,0,0,0,0,0,0,0,0,11900000,11900000,28,28,55,55,2.5,2.5,100000
total time: 319.96 hours.
 --------- CPU info (if available) ----------

4630271772022564854992519669998552956442231980890131275961595009223940624917481635154495945396904561563445557031477520096212636937544853454812940150460746680552817781226623<172>

640367479640394425135079210462080761<36>
7230647900206840843623466140120064184474386196014151421428865183692134912296717499576667156538629718594403783206040241036077537177029943<136>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=12902123
Step 1 took 72572ms
Step 2 took 35615ms
********** Factor found in step 2: 640367479640394425135079210462080761
Found probable prime factor of 36 digits: 640367479640394425135079210462080761
Probable prime cofactor 7230647900206840843623466140120064184474386196014151421428865183692134912296717499576667156538629718594403783206040241036077537177029943 has 136 digits

GMP-ECM 6.3

3046423688990605590949075220008910789290297521353526045018526064058674120249959063681679188737371621801731130261268911627056811993770063556014211566509141175081777435901341568832039237937114199<193>

140821602104944344191203976546352435011228207631215297<54>
21633212827108175193600382697413167083794938983381715227587944143322409584255496805513095712742862874312277348366992788638949071288208626967<140>

Number: 79997_197
N=3046423688990605590949075220008910789290297521353526045018526064058674120249959063681679188737371621801731130261268911627056811993770063556014211566509141175081777435901341568832039237937114199
  ( 193 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=140821602104944344191203976546352435011228207631215297
 r2=21633212827108175193600382697413167083794938983381715227587944143322409584255496805513095712742862874312277348366992788638949071288208626967
Version: 
Total time: 576.63 hours.
Scaled time: 1145.20 units (timescale=1.986).
Factorization parameters were as follows:
n: 3046423688990605590949075220008910789290297521353526045018526064058674120249959063681679188737371621801731130261268911627056811993770063556014211566509141175081777435901341568832039237937114199
m: 2000000000000000000000000000000000000000
deg: 5
c5: 25
c0: -3
skew: 0.65
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6950000, 12650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1981883 x 1982131
Total sieving time: 576.63 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,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
total time: 576.63 hours.
 --------- CPU info (if available) ----------

1121630224596280345521631904477381272092366638336201654128360211396611345042483527072632047513342244248666600738335614516694011415846703650096091778053435159187168969509120733<175>

1805062102560246714956032601519477<34>
621380407358502069731554184814356085170559546119732015382401547788769545080539303142633971252824135306962569316795561185831927327930003286729<141>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=744936755
Step 1 took 91962ms
Step 2 took 40264ms
********** Factor found in step 2: 1805062102560246714956032601519477
Found probable prime factor of 34 digits: 1805062102560246714956032601519477
Probable prime cofactor 621380407358502069731554184814356085170559546119732015382401547788769545080539303142633971252824135306962569316795561185831927327930003286729 has 141 digits

GMP-ECM 6.3

33601351655827011242084912323952169852007991904885594144756135278420331180270119952326625588436852361197844905788203152038825930161136696965850320453078931269191292116001037191<176>

234553567288650925702322568592980113368410016093578788828801083729<66>
143256621693055960975417119093372040309173834860970113804700523923907176635880075744005022701772612192088539479<111>

Number: n
N=33601351655827011242084912323952169852007991904885594144756135278420331180270119952326625588436852361197844905788203152038825930161136696965850320453078931269191292116001037191
  ( 176 digits)
SNFS difficulty: 200 digits.
Divisors found:

Tue Oct  2 00:12:16 2012  prp66 factor: 234553567288650925702322568592980113368410016093578788828801083729
Tue Oct  2 00:12:16 2012  prp111 factor: 143256621693055960975417119093372040309173834860970113804700523923907176635880075744005022701772612192088539479
Tue Oct  2 00:12:16 2012  elapsed time 04:57:54 (Msieve 1.44 - dependency 5)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.077).
Factorization parameters were as follows:
name: KA_79997_200
n: 33601351655827011242084912323952169852007991904885594144756135278420331180270119952326625588436852361197844905788203152038825930161136696965850320453078931269191292116001037191
m: 10000000000000000000000000000000000000000
#  c176, diff: 200.9
skew: 0.822
deg: 5
c5: 8
c0: -3
# Murphy_E = 2.191e-11
type: snfs
lss: 1
rlim: 15600000
alim: 15600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15600000/15600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 11600000)
Primes: RFBsize:1006966, AFBsize:1006742,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8368128 hash collisions in 62986162 relations (57341252 unique)
Msieve: matrix is 1659987 x 1660212 (469.4 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,200,5,0,0,0,0,0,0,0,0,15600000,15600000,29,29,56,56,2.6,2.6,100000
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).

1890870803829407181216576275895071469329309458153620667657423354108953114900601216717556053889668232818003105520661949079149345411576857730744505269<148>

10185262697247131279293725198764582273645538833364293028652222577689<68>
185647720636647985959912581252084043161565774483433361769868867658247487372724221<81>

Polynomial: 5 X^5 -  6 ; m = 2*10^40
rlim = alim = 17000000
lpbr = lpba = 28
mfbr = mfba = 49
rlambda = alambda = 2.6
skew = 0.9
qIntSize = 100000

Matrix : 1738178 x 1738356

time: 32 days or so

p68 = 10185262697247131279293725198764582273645538833364293028652222577689
p81 = 185647720636647985959912581252084043161565774483433361769868867658247487372724221

GGNFS-0.77.1 and msieve1.52

Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10  (Intel Core I5 3.2 GHz for matrix step)

1659981463420310197844465455210153821750397913648864376227097009547492026982571530648231426135026296771172577834663555445564168361037019103414807868487816623670567<163>

97220173204336820180703586285186256362703<41>
17929662759325254112797119421370660661380706560487049101477<59>
952302067033503238782241720426259077512982429246785465534856757<63>

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 1659981463420310197844465455210153821750397913648864376227097009547492026982571530648231426135026296771172577834663555445564168361037019103414807868487816623670567 (163 digits)
...
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2477162949
Step 1 took 6312ms
Step 2 took 4438ms
********** Factor found in step 2: 97220173204336820180703586285186256362703
Found probable prime factor of 41 digits: 97220173204336820180703586285186256362703
Composite cofactor 17074454906919064789627688928085859183217388087811788399446185723018465438915767507356220494698845839929561054720752130089 has 122 digits

time: 12 h or so


msieve 1.52
A(X) = 24552 X^5 -  6688549710 X^4 + 28421055563789 X^3 + 9737270121003209057 X^2 - 661970458987919441765021 X - 7663529818313372206124890427
R(X) = 4308368161267 X - 233589023393247062081826
skew: 69923.33
qintsize = 100000

p59 = 17929662759325254112797119421370660661380706560487049101477
p63 = 952302067033503238782241720426259077512982429246785465534856757

time: 5 h (polynomial), 26 h (sieve)

ecm 7.00 (p41) and MSieve 1.52 (p59, p63)

Intel Core I5 3.2 GHz, Windows 10

208960985724511903126164354228187954005791799051855183129269405206005673577677454066756315895955750305992986438918297643203892610280612302454559930485216416278734943429085430562633<180>

19478451911404374924248830115924657<35>

10727802531481879262891487256979966059647177921289576689431498529309869282947208274493577503178735115713050284909775770048421246998219738429010969<146>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1610144397
Step 1 took 10593ms
Step 2 took 6396ms
********** Factor found in step 2: 19478451911404374924248830115924657
Found probable prime factor of 35 digits: 19478451911404374924248830115924657
Composite cofactor 10727802531481879262891487256979966059647177921289576689431498529309869282947208274493577503178735115713050284909775770048421246998219738429010969 has 146 digits

GMP-ECM 6.3

10727802531481879262891487256979966059647177921289576689431498529309869282947208274493577503178735115713050284909775770048421246998219738429010969<146>

137898132292533167623372450195228117733<39>
401471385590157594770397606406278030592523407853<48>
193775019747810286412496295650960371585778833546511819776281<60>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1382710015
Step 1 took 82766ms
********** Factor found in step 1: 137898132292533167623372450195228117733
Found probable prime factor of 39 digits: 137898132292533167623372450195228117733
Composite cofactor 77795125670913545984225585915052544131469880980539531015974297040405671727499937657842906841216578178534693 has 107 digits

Mon Oct 22 11:52:53 2012  commencing relation filtering
Mon Oct 22 11:52:53 2012  estimated available RAM is 48158.0 MB
Mon Oct 22 11:52:53 2012  commencing duplicate removal, pass 1
Mon Oct 22 11:54:13 2012  found 818570 hash collisions in 6341526 relations
Mon Oct 22 11:54:20 2012  added 2520 free relations
Mon Oct 22 11:54:20 2012  commencing duplicate removal, pass 2
Mon Oct 22 11:54:23 2012  found 665029 duplicates and 5679017 unique relations
Mon Oct 22 11:54:23 2012  memory use: 24.6 MB
Mon Oct 22 11:54:23 2012  reading ideals above 100000
Mon Oct 22 11:54:23 2012  commencing singleton removal, initial pass
Mon Oct 22 11:55:45 2012  memory use: 172.2 MB
Mon Oct 22 11:55:45 2012  reading all ideals from disk
Mon Oct 22 11:55:45 2012  memory use: 187.3 MB
Mon Oct 22 11:55:45 2012  keeping 6106719 ideals with weight <= 200, target excess is 27588
Mon Oct 22 11:55:46 2012  commencing in-memory singleton removal
Mon Oct 22 11:55:46 2012  begin with 5679017 relations and 6106719 unique ideals
Mon Oct 22 11:55:50 2012  reduce to 2417689 relations and 2276092 ideals in 19 passes
Mon Oct 22 11:55:50 2012  max relations containing the same ideal: 116
Mon Oct 22 11:55:51 2012  removing 432469 relations and 377672 ideals in 54797 cliques
Mon Oct 22 11:55:51 2012  commencing in-memory singleton removal
Mon Oct 22 11:55:51 2012  begin with 1985220 relations and 2276092 unique ideals
Mon Oct 22 11:55:52 2012  reduce to 1926934 relations and 1838387 ideals in 10 passes
Mon Oct 22 11:55:52 2012  max relations containing the same ideal: 102
Mon Oct 22 11:55:53 2012  removing 319818 relations and 265021 ideals in 54797 cliques
Mon Oct 22 11:55:53 2012  commencing in-memory singleton removal
Mon Oct 22 11:55:53 2012  begin with 1607116 relations and 1838387 unique ideals
Mon Oct 22 11:55:54 2012  reduce to 1566241 relations and 1531258 ideals in 10 passes
Mon Oct 22 11:55:54 2012  max relations containing the same ideal: 87
Mon Oct 22 11:55:56 2012  relations with 0 large ideals: 525
Mon Oct 22 11:55:56 2012  relations with 1 large ideals: 214
Mon Oct 22 11:55:56 2012  relations with 2 large ideals: 3655
Mon Oct 22 11:55:56 2012  relations with 3 large ideals: 29631
Mon Oct 22 11:55:56 2012  relations with 4 large ideals: 128095
Mon Oct 22 11:55:56 2012  relations with 5 large ideals: 334241
Mon Oct 22 11:55:56 2012  relations with 6 large ideals: 456778
Mon Oct 22 11:55:56 2012  relations with 7+ large ideals: 613102
Mon Oct 22 11:55:56 2012  commencing 2-way merge
Mon Oct 22 11:55:57 2012  reduce to 932411 relation sets and 897429 unique ideals
Mon Oct 22 11:55:57 2012  ignored 1 oversize relation sets
Mon Oct 22 11:55:57 2012  commencing full merge
Mon Oct 22 11:56:13 2012  memory use: 108.4 MB
Mon Oct 22 11:56:13 2012  found 450689 cycles, need 445629
Mon Oct 22 11:56:13 2012  weight of 445629 cycles is about 31410058 (70.48/cycle)
Mon Oct 22 11:56:13 2012  distribution of cycle lengths:
Mon Oct 22 11:56:13 2012  1 relations: 53222
Mon Oct 22 11:56:13 2012  2 relations: 48624
Mon Oct 22 11:56:13 2012  3 relations: 45756
Mon Oct 22 11:56:13 2012  4 relations: 42219
Mon Oct 22 11:56:13 2012  5 relations: 37851
Mon Oct 22 11:56:13 2012  6 relations: 34370
Mon Oct 22 11:56:13 2012  7 relations: 29822
Mon Oct 22 11:56:13 2012  8 relations: 26056
Mon Oct 22 11:56:13 2012  9 relations: 22844
Mon Oct 22 11:56:13 2012  10+ relations: 104865
Mon Oct 22 11:56:13 2012  heaviest cycle: 25 relations
Mon Oct 22 11:56:13 2012  commencing cycle optimization
Mon Oct 22 11:56:15 2012  start with 2892080 relations
Mon Oct 22 11:56:20 2012  pruned 72283 relations
Mon Oct 22 11:56:20 2012  memory use: 92.1 MB
Mon Oct 22 11:56:20 2012  distribution of cycle lengths:
Mon Oct 22 11:56:20 2012  1 relations: 53222
Mon Oct 22 11:56:20 2012  2 relations: 49569
Mon Oct 22 11:56:20 2012  3 relations: 47189
Mon Oct 22 11:56:20 2012  4 relations: 43129
Mon Oct 22 11:56:20 2012  5 relations: 38936
Mon Oct 22 11:56:20 2012  6 relations: 35042
Mon Oct 22 11:56:20 2012  7 relations: 30262
Mon Oct 22 11:56:20 2012  8 relations: 26317
Mon Oct 22 11:56:20 2012  9 relations: 22868
Mon Oct 22 11:56:20 2012  10+ relations: 99095
Mon Oct 22 11:56:20 2012  heaviest cycle: 25 relations
Mon Oct 22 11:56:20 2012  RelProcTime: 207
Mon Oct 22 11:56:20 2012  
Mon Oct 22 11:56:20 2012  commencing linear algebra
Mon Oct 22 11:56:21 2012  read 445629 cycles
Mon Oct 22 11:56:22 2012  cycles contain 1512656 unique relations
Mon Oct 22 11:56:43 2012  read 1512656 relations
Mon Oct 22 11:56:44 2012  using 20 quadratic characters above 67107942
Mon Oct 22 11:56:52 2012  building initial matrix
Mon Oct 22 11:57:16 2012  memory use: 186.7 MB
Mon Oct 22 11:57:16 2012  read 445629 cycles
Mon Oct 22 11:57:17 2012  matrix is 445446 x 445629 (133.2 MB) with weight 41774124 (93.74/col)
Mon Oct 22 11:57:17 2012  sparse part has weight 30002705 (67.33/col)
Mon Oct 22 11:57:25 2012  filtering completed in 2 passes
Mon Oct 22 11:57:25 2012  matrix is 444878 x 445061 (133.1 MB) with weight 41748968 (93.81/col)
Mon Oct 22 11:57:25 2012  sparse part has weight 29993565 (67.39/col)
Mon Oct 22 11:57:26 2012  matrix starts at (0, 0)
Mon Oct 22 11:57:26 2012  matrix is 444878 x 445061 (133.1 MB) with weight 41748968 (93.81/col)
Mon Oct 22 11:57:26 2012  sparse part has weight 29993565 (67.39/col)
Mon Oct 22 11:57:26 2012  saving the first 48 matrix rows for later
Mon Oct 22 11:57:27 2012  matrix includes 64 packed rows
Mon Oct 22 11:57:27 2012  matrix is 444830 x 445061 (127.7 MB) with weight 33148596 (74.48/col)
Mon Oct 22 11:57:27 2012  sparse part has weight 29020949 (65.21/col)
Mon Oct 22 11:57:27 2012  using block size 65536 for processor cache size 12288 kB
Mon Oct 22 11:57:35 2012  commencing Lanczos iteration (16 threads)
Mon Oct 22 11:57:35 2012  memory use: 148.9 MB
Mon Oct 22 11:57:37 2012  checkpointing every 3640000 dimensions
Mon Oct 22 11:57:47 2012  linear algebra at 2.7%, ETA 0h 7m
Mon Oct 22 12:05:24 2012  lanczos halted after 7037 iterations (dim = 444830)
Mon Oct 22 12:05:25 2012  recovered 34 nontrivial dependencies
Mon Oct 22 12:05:25 2012  BLanczosTime: 545
Mon Oct 22 12:05:25 2012  
Mon Oct 22 12:05:25 2012  commencing square root phase
Mon Oct 22 12:05:25 2012  reading relations for dependency 1
Mon Oct 22 12:05:25 2012  read 222171 cycles
Mon Oct 22 12:05:26 2012  cycles contain 755930 unique relations
Mon Oct 22 12:05:37 2012  read 755930 relations
Mon Oct 22 12:05:39 2012  multiplying 755930 relations
Mon Oct 22 12:06:03 2012  multiply complete, coefficients have about 28.46 million bits
Mon Oct 22 12:06:03 2012  initial square root is modulo 148798817
Mon Oct 22 12:06:38 2012  GCD is 1, no factor found
Mon Oct 22 12:06:38 2012  reading relations for dependency 2
Mon Oct 22 12:06:38 2012  read 222151 cycles
Mon Oct 22 12:06:39 2012  cycles contain 755094 unique relations
Mon Oct 22 12:06:50 2012  read 755094 relations
Mon Oct 22 12:06:52 2012  multiplying 755094 relations
Mon Oct 22 12:07:16 2012  multiply complete, coefficients have about 28.43 million bits
Mon Oct 22 12:07:16 2012  initial square root is modulo 145729139
Mon Oct 22 12:07:51 2012  sqrtTime: 146

prp60 = 193775019747810286412496295650960371585778833546511819776281
prp48 = 401471385590157594770397606406278030592523407853
NFS elapsed time = 4598.2606 seconds.

22786581856193234349518959928994569516580860043715102723421802492397753223405726452891021039223075078373488987673834813409931726907380766381943620231040499288487067<164>

39288533323747976064153283711390586986795319<44>
579980465761491588461475720065837704260738979570504606919000965246347488578132389913797978069734277505222994020567349693<120>

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 22786581856193234349518959928994569516580860043715102723421802492397753223405726452891021039223075078373488987673834813409931726907380766381943620231040499288487067 (164 digits)
...
Using B1=11000000, B2=23420528050, polynomial Dickson(12), sigma=1:290482881
Step 1 took 23610ms
Step 2 took 14297ms
********** Factor found in step 2: 39288533323747976064153283711390586986795319
Found probable prime factor of 44 digits: 39288533323747976064153283711390586986795319
Probable prime cofactor 579980465761491588461475720065837704260738979570504606919000965246347488578132389913797978069734277505222994020567349693 has 120 digits

Intel Core I5 3.2 GHz, Windows 10

4029464748937378822740994100526216410656667784752283637810875784540092711385281547251154580008759481579212490190497464918139268819181468272313989517992758414035189660331<169>

304903325345432280405887129666540563598771<42>

13215548713259528061573838056044589799721791425619634188244608971649432457756282185626096984475213273277177368448248622160024361<128>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1441080046
Step 1 took 98414ms
Step 2 took 20703ms
********** Factor found in step 2: 304903325345432280405887129666540563598771
Found probable prime factor of 42 digits: 304903325345432280405887129666540563598771

13215548713259528061573838056044589799721791425619634188244608971649432457756282185626096984475213273277177368448248622160024361<128>

17760458718705241572333116726791089662690663269259779807<56>
744099514689953750205923368532992490421871979655998714719441025991538423<72>

prp56 = 17760458718705241572333116726791089662690663269259779807
prp72 = 744099514689953750205923368532992490421871979655998714719441025991538423
NFS elapsed time = 26013.2165 seconds.

19579352073099049183076652430435112059287408347147184328324448598161080311799439562864700607433801361314449564273267715223731911552848511472864877742099217707724456528163859099975663<182>

5555685738073806545370826356430095797347994099014943440832023142130863299<73>
3524200791077744019345766454022091557024519815536788914801802040459772107928372375616648460834665648631086437<109>

Polynomial: 5 X^5 - 6 ; m = 2*10^41 ; skew = 0.7
rlim = alim = 20500000
lpbr = lpba = 29
mfbr = mfba = 56
rlambda = alambda = 2.6
qintsize = 100000

Matrix: 2410927 x 2411106

time: 25 days or so

p73 = 5555685738073806545370826356430095797347994099014943440832023142130863299
p109 = 3524200791077744019345766454022091557024519815536788914801802040459772107928372375616648460834665648631086437

GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix)

Intel Core I5 3.2 GHz, Windows 10

3532541109651369806484070557787990269319904931470277181453083401427253499250691086077266609992510162255648246272380179579618792670552218907980874464983588335922846795290397119319098516737361<190>

41074246322952471118315702945595378181985143023<47>
86003796195704512738354320130453158207580915235415281674613673794215753646067759859686872207317324657764322344758665878461758578160922919849407<143>

Polynomial: 2 X^5 - 75 ; m = 10^42 ; skew = 2.9
rlim = alim = 25000000
lpbr = lpba = 29
mfbr = mfba = 53
rlambda = alambda = 2.6
qintsize = 100000

Matrix: 3352238 x 3352415

time: 42 days or so

p47 = 41074246322952471118315702945595378181985143023
p143 = 86003796195704512738354320130453158207580915235415281674613673794215753646067759859686872207317324657764322344758665878461758578160922919849407

GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix)

Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10 (Intel Core I5 3.2 GHz for matrix step)

5497197369324244110681654310895781560750823055001865289279461479420290443490547511998594553401297715513336001642162532101678142122541824837435073<145>

262517027327946478817151113517258386059347465768043<51>
20940345947377087247092502696890909625361304862458413620732490653158961039797860337324972846211<95>

Polynomial: 4 X^6 - 15 ; m = 10^35 ; skew = 2.1
rlim = alim = 30950000
lpbr = lpba = 28
mfbr = mfba = 53
rlambda = alambda = 2.6
qintsize = 100000

Matrix: 3424236 x 3424413

time: 56 days or so

p51 = 262517027327946478817151113517258386059347465768043
p95 = 20940345947377087247092502696890909625361304862458413620732490653158961039797860337324972846211

GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix)

Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10 (Intel Core I5 3.2 GHz for matrix step)

277229938218386924481560851590227792997218818937032431585131953369247940499173693134607010468833979009566996474451757046053968468959145086617002728012598623424893569607615676621431249040999657037687<198>

277382047507942594386345037251974788873<39>

999451625327153465520561416359647860747741647927991004044844564083580134694815028131545335518122948817053215135542636955108602001331654889199827287321612206719<159>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2289807682
Step 1 took 37630ms
Step 2 took 12496ms
********** Factor found in step 2: 277382047507942594386345037251974788873
Found probable prime factor of 39 digits: 277382047507942594386345037251974788873

999451625327153465520561416359647860747741647927991004044844564083580134694815028131545335518122948817053215135542636955108602001331654889199827287321612206719<159>

1262222817241036739749642129408424697883675538225899<52>
791818696093414122255874402807341513843295604970217291940708084739771343413118561904383948330933598654581181<108>

Polynomial: X^6 - 24 ; m = 2*10^35 ; skew = 1.9
rlim = alim = 27000000
lpbr = lpba = 28
mfbr = mfba = 56
rlambda = alambda = 2.6
qintsize = 100000

Matrix: 2929417 x 2929594

time: 44 days or so

p52 = 1262222817241036739749642129408424697883675538225899
p108 = 791818696093414122255874402807341513843295604970217291940708084739771343413118561904383948330933598654581181

GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix)

Windows 10, Intel Core I5 3.2 GHz

813883404676040180459058410289699937795301868353834627278892250856042491929030653479510245953910258294428855137989089947279807768362786857592172174947339565289931<162>

756884038062226333940485219017032333<36>
1075307925319370667464498584300813083623870956704560634402048345543234368313033778272353215714512102352900982760647608154209207<127>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1371975723
Step 1 took 9641ms
Step 2 took 6911ms
********** Factor found in step 2: 756884038062226333940485219017032333
Found probable prime factor of 36 digits: 756884038062226333940485219017032333
Probable prime cofactor 1075307925319370667464498584300813083623870956704560634402048345543234368313033778272353215714512102352900982760647608154209207 has 127 digits

GMP-ECM 6.3

2953668644996800368742164734371576345086936224983002512231402374751505935560906743576008613176352147884646022967696674086195720713020850460683714026439359779691972502084490094394857<181>

64639826263598064447447937<26>
45694254080323227305702552500094709337319929902366631428639822888167022890082339233878864199534198684805606591157268861570237117109503848381894545027821161<155>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2054748914
Step 1 took 12792ms
Step 2 took 7613ms
********** Factor found in step 2: 64639826263598064447447937
Found probable prime factor of 26 digits: 64639826263598064447447937
Probable prime cofactor 45694254080323227305702552500094709337319929902366631428639822888167022890082339233878864199534198684805606591157268861570237117109503848381894545027821161 has 155 digits

GMP-ECM 6.3

919212836597991891787061498031563512338327394365233181401282689009905890762291883879523881704876293123454678263274624307842732353812788742268334227430358214786480669<165>

39820949021998798656439368500610099364292430266171<50>
23083649666163891034473794552817405268712500519978104135743273890177760617715681975196998090116880802840668359100039<116>

Polynomial: X^6 - 375 ; m = 10^36 ; skew = 2.2
rlim = alim = 30000000
lpbr = lpba = 29
mfbr = mfba = 54
rlambda = alambda = 2.6
qintsize = 100000

Matrix: 3472143 x 3472320

time: 91 days

p50 = 39820949021998798656439368500610099364292430266171
p116 = 23083649666163891034473794552817405268712500519978104135743273890177760617715681975196998090116880802840668359100039

GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix)

Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10 (Intel Core I5 3.2 GHz for matrix step)

4181048384293954460125524479855369174290503527315337857192843069522942901983107832843985172539062359134600333846260864911528754872815905251590144160980397311439552205536993733183366096202683010106064312781721<208>

44745389445856376193907227078751180602528181921<47>
93440875944396061081794551547297647889891284085903390644931329203654559966087530164771805686118961816011585825065261201137196946618633159499263530262848277303801<161>

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 4181048384293954460125524479855369174290503527315337857192843069522942901983107832843985172539062359134600333846260864911528754872815905251590144160980397311439552205536993733183366096202683010106064312781721 (208 digits)
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:499238008
Step 1 took 32703ms
Step 2 took 18640ms
(Using B1=2400000, B2=3567796060, polynomial Dickson(6), sigma=1:499238008 work too and time took only 7171ms + 4860ms)
********** Factor found in step 2: 44745389445856376193907227078751180602528181921
Found probable prime factor of 47 digits: 44745389445856376193907227078751180602528181921
Probable prime cofactor 93440875944396061081794551547297647889891284085903390644931329203654559966087530164771805686118961816011585825065261201137196946618633159499263530262848277303801 has 161 digits

ecm 7.00

Intel Core I5 3.2 GHz, Windows 10

867510317892149173675400161794476831525798918047530331198565847321878369807649190512317052190330439416503983738399455501944572447190668645471926635417138444122017426268320342823046954532240840729<195>

4390185367972157010913688055073746479220262909<46>
197602207009508444466346975241859828801277027042718551066672027594766995646987618311434264690277378385301624209534488418737984415858735434829483803981<150>

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 867510317892149173675400161794476831525798918047530331198565847321878369807649190512317052190330439416503983738399455501944572447190668645471926635417138444122017426268320342823046954532240840729 (195 digits)
&
5078 curves
&
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:641324925
Step 1 took 33140ms
Step 2 took 18407ms
********** Factor found in step 2: 4390185367972157010913688055073746479220262909
Found probable prime factor of 46 digits: 4390185367972157010913688055073746479220262909
Probable prime cofactor 197602207009508444466346975241859828801277027042718551066672027594766995646987618311434264690277378385301624209534488418737984415858735434829483803981 has 150 digits

total times : 72 h

ecm 7.00

Intel Core I5 3.2 GHz, Windows 10

13996001174920644407123461742076574813981831693101220603705102318919353273891881934394555918075495982801614380450369863475206312620897602274973500317649595570517783173903673957604864486670906203445424889249563<209>

1608238298953047133876752507688092543489788333737451819654734205276684421025479263518888096347293549<100>
8702691127323576254750453131954900922000751462015432557224995298178331306309698602073129464191380828462949287<109>

Number: 79997_220
N = 13996001174920644407123461742076574813981831693101220603705102318919353273891881934394555918075495982801614380450369863475206312620897602274973500317649595570517783173903673957604864486670906203445424889249563 (209 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=1608238298953047133876752507688092543489788333737451819654734205276684421025479263518888096347293549 (pp100)
r2=8702691127323576254750453131954900922000751462015432557224995298178331306309698602073129464191380828462949287 (pp109)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 70.42 hours.
Factorization parameters were as follows:
n: 13996001174920644407123461742076574813981831693101220603705102318919353273891881934394555918075495982801614380450369863475206312620897602274973500317649595570517783173903673957604864486670906203445424889249563
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 8
c0: -3
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: 32027049
Relations: 7672314 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 34.68 hours.
Total relation processing time: 0.43 hours.
Pruned matrix : 6631843 x 6632090
Matrix solve time: 35.15 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,27,58,54,2.8,2.8,100000
total time: 70.42 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

1466199305130394666598859836135403014652024728778191395249059363043104575274381834657133223742144088086556445512671643072957052916523978746685979492787154396228262401723570066355763624794957296331267118231982541569<214>

6031522421283251851212164737641529845385629593196765970479071<61>
243089422988242778435879599336455128499191311142725571085555734325158759101829933080712329961682504017183322459040899024323018654161568024678803201431839<153>

Number: n
N=1466199305130394666598859836135403014652024728778191395249059363043104575274381834657133223742144088086556445512671643072957052916523978746685979492787154396228262401723570066355763624794957296331267118231982541569
  ( 214 digits)
SNFS difficulty: 222 digits.
Divisors found:

Fri May 18 18:05:28 2018  p61 factor: 6031522421283251851212164737641529845385629593196765970479071
Fri May 18 18:05:28 2018  p153 factor: 243089422988242778435879599336455128499191311142725571085555734325158759101829933080712329961682504017183322459040899024323018654161568024678803201431839
Fri May 18 18:05:28 2018  elapsed time 09:40:10 (Msieve 1.53 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.761).
Factorization parameters were as follows:
#
# 8x10^221-3 = 79(220)7
#
n: 1466199305130394666598859836135403014652024728778191395249059363043104575274381834657133223742144088086556445512671643072957052916523978746685979492787154396228262401723570066355763624794957296331267118231982541569
m: 10000000000000000000000000000000000000
deg: 6
c6: 4
c0: -15
skew: 1.25
# Murphy_E = 2.167e-12
type: snfs
lss: 1
rlim: 36000000
alim: 36000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 36000000/36000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 88400000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 15284658 hash collisions in 77414266 relations (62875572 unique)
Msieve: matrix is 4693005 x 4693230 (1316.3 MB)

Sieving start time: 2018/05/15 23:08:37
Sieving end time  : 2018/05/18 08:23:17

Total sieving time: 57hrs 14min 40secs.

Total relation processing time: 8hrs 53min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 24min 39sec.

Prototype def-par.txt line would be:
snfs,222,6,0,0,0,0,0,0,0,0,36000000,36000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.036000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16286848K/16703460K available (12300K kernel code, 2470K rwdata, 4240K rodata, 2404K init, 2416K bss, 416612K reserved, 0K cma-reserved)
[    0.068639] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.28 BogoMIPS (lpj=11976564)
[    0.066207] smpboot: Total of 16 processors activated (95812.51 BogoMIPS)

307999420094071540755571762223683041778192105416074602186804142920482859257840146089691622989188445371051437581475682472763495029158527968357164125094159032046984462299346234417<177>

1725108136795886611967826217351494263<37>
178539196195625956280329091180582543514580022068668579443957691588342464110117165049873879173762111691210987255260526880409564098140140638359<141>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1277441528
Step 1 took 11014ms
Step 2 took 6240ms
********** Factor found in step 2: 1725108136795886611967826217351494263
Found probable prime factor of 37 digits: 1725108136795886611967826217351494263
Probable prime cofactor 178539196195625956280329091180582543514580022068668579443957691588342464110117165049873879173762111691210987255260526880409564098140140638359 has 141 digits

GMP-ECM 6.3

64178462140137030679736247305963839975127156762993391542695047026182372751417704515013284980678298846505133922729244306807256464329271862462326719630164370507548779910519406627232846708952149615847836459667889527<212>

6846787649267769201620548224163<31>

9373514329307497445273668974645187930849130234577178171914346345242442914321757005593107068508151911905227363854453716130256321006715248153602024119506150554714580537255383075257629<181>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2686518804
Step 1 took 15584ms
Step 2 took 8830ms
********** Factor found in step 2: 6846787649267769201620548224163
Found probable prime factor of 31 digits: 6846787649267769201620548224163
Composite cofactor 9373514329307497445273668974645187930849130234577178171914346345242442914321757005593107068508151911905227363854453716130256321006715248153602024119506150554714580537255383075257629 has 181 digits

GMP-ECM 6.3

9373514329307497445273668974645187930849130234577178171914346345242442914321757005593107068508151911905227363854453716130256321006715248153602024119506150554714580537255383075257629<181>

42428493585252248604268902533425831213362727060678213456998091422869<68>
220924985481116496868856009412706360338059962458285683881372325770728593354057504521269755120733922340026704680041<114>

Polynomial: 25 X^6 - 6 ; m = 2*10^37 ; skew = 1.8
rlim = alim = 39000000
lpbr = lpba = 30
mfbr = mfba = 59
rlambda = alambda = 2.7
qintsize = 100000

Matrix: 5123757 x 5123934

time: 137 days or so

p68 = 42428493585252248604268902533425831213362727060678213456998091422869
p114 = 220924985481116496868856009412706360338059962458285683881372325770728593354057504521269755120733922340026704680041

GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix)

Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10 (Intel Core I5 3.2 GHz for matrix step)

194712035572851641622630145990180448141977067363587069141253610454525026568123029453695445675970894148919158627967817111792294302293636691840983243948717952419676612604069308887353010972026849155742846108295923<210>

907802400893097381320823109064869127215466389<45>
214487244560373100114123920845318030436479396068080335042761251649469278788374937745420507030077563554739006622402959228750709927482928269023213573811967128742280807<165>

Polynomial: X^6 - 375 ; m = 10^38 ; skew = 4.3
rlim = alim = 50000000
lpbr = lpba = 29
mfbr = mfba = 58
rlambda = alambda = 2.7
qintsize = 100000

Matrix: 6435725 x 6435903

time: 228 days or so

p45 = 907802400893097381320823109064869127215466389
p165 = 214487244560373100114123920845318030436479396068080335042761251649469278788374937745420507030077563554739006622402959228750709927482928269023213573811967128742280807

GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix)

Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10 (Intel Core I5 3.2 GHz for matrix step)

6611570247933884297520661157024793388429752066115702479338842975206611570247933884297520661157024793388429752066115702479338842975206611570247933884297520661157024793388429752066115702479338842975206611570247933884297520661157<226>

109907691128531097331519173714798114608759939771703963262366967403041359843726660848480797<90>
60155664995291463860964862947906831747231033483580161093137328247612622203290509062526207183030282359892430767995584325088065652585507881<137>

Polynomial: 4 X^6 - 15 ; m = 10^38 ; skew = 1
rlim = alim = 41000000
lpbr = lpba = 30
mfbr = mfba = 59
rlambda = alambda = 2.7
qintsize = 100000

Matrix: 5386399 x 5386577

time: 166 days or so

p90 = 109907691128531097331519173714798114608759939771703963262366967403041359843726660848480797
p137 = 60155664995291463860964862947906831747231033483580161093137328247612622203290509062526207183030282359892430767995584325088065652585507881

GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix)

Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10 (Intel Core I5 3.2 GHz for matrix step)

54159316752897300952701465034809514805599763798536529534231253202876258793989984656481958391641296153727313149253990584403235984006268602474041126443203553824747035505760917946494535145362638123684373<200>

117378539290715526930634282729023558608477764207732998400648056390219731970741365715746240953859056612516020732377608819641514958747227758359675571342825647060750712756650295813824725550330914530128423622395859190308635428927<225>

17263351238527850152797775881258955686694133<44>
6799290454610775870101167992628547344141174250756793057478534233632925179091776658282048006684144301065375462947575577844179970890820184504103670866179971783513870317483579496398819<181>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1221863095
Step 1 took 42381ms
Step 2 took 14371ms
********** Factor found in step 2: 17263351238527850152797775881258955686694133
Found probable prime factor of 44 digits: 17263351238527850152797775881258955686694133

168644995605398614802655123107968855764310556287782357542537346415082193654948070077589817862997456759363088742338601489329815542796309490639227325904072615401514996304625841286192119404244926906654021<201>

8753023030609015648917728076597193013<37>

19267057223047735479935748162052709920289054144879873657563972746797388343273066980899850670639751856317178664418122477854673400637812295156765967715959807459505617<164>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3678475123
Step 1 took 14727ms
Step 2 took 8736ms
********** Factor found in step 2: 8753023030609015648917728076597193013
Found probable prime factor of 37 digits: 8753023030609015648917728076597193013
Composite cofactor 19267057223047735479935748162052709920289054144879873657563972746797388343273066980899850670639751856317178664418122477854673400637812295156765967715959807459505617 has 164 digits

GMP-ECM 6.3

19267057223047735479935748162052709920289054144879873657563972746797388343273066980899850670639751856317178664418122477854673400637812295156765967715959807459505617<164>

184977494057113500572846841992083288654417829<45>
104158926583246146511512407097317671930253565879953152708284694937072370340436048434314681926530936385409275731255702973<120>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1670066473
Step 1 took 278824ms
Step 2 took 80461ms
********** Factor found in step 2: 184977494057113500572846841992083288654417829
Found probable prime factor of 45 digits: 184977494057113500572846841992083288654417829

7346954212360631297730515466228976032739335728128773255058172949269305959620307606301420546178619016728997292528903108433051606629146132729389697026862395930979042325455155453786321317769617774918326871762103719742621757175979797<229>

123999321600244457152187159544326105654320292623<48>
59249954899318959036051777175231894997495757002619205788706214741614099852924058915245697520389128530970535837996185114914564469858051754807922567778021083680247200627823111877872539<182>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4166032509
Step 1 took 158044ms
Step 2 took 47866ms
********** Factor found in step 2: 123999321600244457152187159544326105654320292623
Found probable prime factor of 48 digits: 123999321600244457152187159544326105654320292623

20095912767661858133406214510304053672163819871290702701317714120066547615130112243208774679350871873735370489503779161995413610308600372427503366693385857350670412209874679375991764694947812170536930133293677398805147266616745070033<233>

1895533391846568761513280322254732321581522249888977705764266735813637783451839428250890504230674889601660673655307097291097690853511109995453412283121540054450874796510782280936131998975168877799352066438205687144712767<220>

1831320075696885551228954551384447012552069482047595763908014600278279523175517523857438305332091093835165651167384302843621379728082001050443542067649625574942897420613906397640714412949867<190>

271323991680015799995145616009107942181<39>

6749569267197871220952021879141102111560738562127255789830474625753012729865566022082468544543019245435163230068228865310602630666884591505735290166607<151>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=248538249
Step 1 took 117392ms
Step 2 took 38439ms
********** Factor found in step 2: 271323991680015799995145616009107942181
Found probable prime factor of 39 digits: 271323991680015799995145616009107942181

6749569267197871220952021879141102111560738562127255789830474625753012729865566022082468544543019245435163230068228865310602630666884591505735290166607<151>

5786888711149413905038398004269973420574512631<46>
11136473129453269507383898563722358466989685010628239<53>
104732930285591107714002823772833616420187139384230023<54>

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 6749569267197871220952021879141102111560738562127255789830474625753012729865566022082468544543019245435163230068228865310602630666884591505735290166607 (151 digits)
...
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1647869655
Step 1 took 5343ms
Step 2 took 4250ms
********** Factor found in step 2: 5786888711149413905038398004269973420574512631
Found probable prime factor of 46 digits: 5786888711149413905038398004269973420574512631
Composite cofactor 1166355463894387910655759136084466251200848468930343346976531097435796560529047824594979750414664515419497 has 106 digits

Factorization of c106 using MSieve 1.52
A(X) = 1680 X^4 + 583998104 X^3 - 62650527395818702 X^2 - 9525239208103501132131 X + 553949302438184932893402141795
R(X) = 111201857563849 X - 28865578539043277023385062
skew: 5194066.85
qintsize = 100000

p53 = 11136473129453269507383898563722358466989685010628239
p54 = 104732930285591107714002823772833616420187139384230023

Matrix : 272820 x 272998

time: 1 h (polynomial), 4 h (sieve)

ecm 7.00 (p46) and MSieve 1.52 (p53, p54)

Intel Core I5 3.2 GHz, Windows 10

6512208352785597026545226932936710960607760074108324510245495610464361937705974667292125253587052426198296240425844885404083729820167405464424135890955381691170318155635893999474501479216632608860698850744388677<211>

76974886943134802270759164822476666987395362263061676128163186760319445780814009429423650534013278167997690753391705955931877225055325699990378139132108149716155104397190416626575579717117290483979601654960069277398248821322043683248340229<239>

39242400753468995561600088006793476416104766784284760272074421148981991252224900242709862593608101729301016228709879165769088885924596602323027521506861374130609826052383644402701483263814001352504416485700220636124217332647<224>

273740279673351500913059745811161011535314884014378625850756633220103726222749155647815348705424032223267740607671983304247721157564524406476509911039133404185183344618282347166235045036525867090125403415953665488281283281877029647<231>

23835536306078877750807494007318640059849045426020150562653750423745998281172301264584304186441849600614421054935396149304439622225890945018964823328332920367153955724269921801474193401771814564526902290001<206>

164528537606768522260422711652749119227865357<45>

144871744761063931814136269505667438981460271479078050290892942718077883852390037624034082457432183838004479314494892858733181288338676981507644287421809024817493<162>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=928318241
Step 1 took 384390ms
Step 2 took 103223ms
********** Factor found in step 2: 164528537606768522260422711652749119227865357
Found probable prime factor of 45 digits: 164528537606768522260422711652749119227865357

144871744761063931814136269505667438981460271479078050290892942718077883852390037624034082457432183838004479314494892858733181288338676981507644287421809024817493<162>

289069693418001697070804915739033478830364602517227593368031281<63>
501165456150312930349434451589236130823753580843404489970945483911212857325456401581789298612311653<99>

Number: 79997_246
N = 144871744761063931814136269505667438981460271479078050290892942718077883852390037624034082457432183838004479314494892858733181288338676981507644287421809024817493 (162 digits)
Divisors found:
r1=289069693418001697070804915739033478830364602517227593368031281 (pp63)
r2=501165456150312930349434451589236130823753580843404489970945483911212857325456401581789298612311653 (pp99)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 340.99 hours.
Factorization parameters were as follows:
n:  144871744761063931814136269505667438981460271479078050290892942718077883852390037624034082457432183838004479314494892858733181288338676981507644287421809024817493
# norm 1.027767e-15 alpha -7.724515 e 1.015e-12 rroots 3
skew: 74654697.25
c0: 924609175921733614256932935540398685695475
c1: -103333032726039600876131087559619245
c2: 197251370153662244583806482
c3: 56179862757345579047
c4: 84762493485
c5: 756
Y0: -45341133406776460683699048859898
Y1: 32079520802955517
type: gnfs
Factor base limits: 39400000/39400000
Large primes per side: 3
Large prime bits: 30/30
Sieved algebraic special-q in [0, 0)
Total raw relations: 89689154
Relations: 9845214 relations
Pruned matrix : 6296368 x 6296594
Total sieving time: 313.95 hours.
Total relation processing time: 0.98 hours.
Matrix solve time: 25.59 hours.
time per square root: 0.46 hours.
Prototype def-par.txt line would be: gnfs,161,5,65,2000,1e-05,0.28,250,20,50000,3600,39400000,39400000,30,30,60,60,2.6,2.6,100000
total time: 340.99 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 2.19GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

17836039867258956864009499165485849023825535004934526380655603707762177329027569635226705097405051928841946651292914008302534189550460004561218339202988830781356714894946091491321645358699846834781109100615385581542923310508927<227>

622143882763156960600081291963833335831889089171953485309951471913919836423192910826614028399986359184298476402060362917633046972195217915775360333857836659002551350626503283833671074120316099081704663755646625512849436628611133749587667337<240>

7850353702787376322312416988689941036517699240983835807116880052862149464207542240241210820272147885293910031902579936397317026673744543369082056290155261695800313883552343651443<178>

9838888205632763497724757102447423441151149920059033329233796580986348542614684540646906899520354199975402779485918091255688107243881441397122125199852416676915508547534128643463288648382732751199114500061493051285204771860779731890296396507194687<247>

598919666789929773882544136390335477354744947056257975103785410074843996549870696551520938179831874612037249879873526096305173689433613267064892534098645554299223618853362806227391367733830746371470577974308816771709543503<222>

16397759842299267704034057083897928418597333972857126489910518039958187253423672274883494453919359958021762552191217469559132327073977604446548224994601859343847779925625229774329141926610931653155561969<203>

58332692419281421937451430528961743744660362256251995828871088832667136346388563122837340995715393633923958279302393059854901145504690417284221216944571936105706669810189314569587538143932011727912083612199<206>

727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727<255>

5203300986670260470002059571454503113938828788467037719010763649410639654728297522361097010630331400794313127137063081115371173870455698059579575005452168205970706701177585250930781710188455012984442510079376063501938377987811883014168457919451<244>

7555705098318732951171549427142927035777236558794075630058847424442853569818668302375781349790278515317635687693819078210779745960154024378560952825764537436974229439245244545331068943662536350705839879612121895887434451291009592233<232>

16387347525469565587610946946854202026670574423592912032204780127840838100304798412153953511499866480154674641645191082817826077339808155721717948342235344311861176244832500609<176>

810931296297974661277824118390390052185770480892729855062421735563452109430016857710743930723331426269582709787563967363011715146340899941000794904252890765564565994521970551980791883959550986165389431797987209932802269362039163215362498184793647244507<252>

29902754075653176068200185298993607280070291715046818639199660486193870241782918795025032838452668437463736011772139876320239075622498843802540821825257253575567076355631513000032707190793618857122952231<203>

58228400902540213989373316835286410946939369677560230002183565033845258024601499381323240410510226362908508625081883688769197175922556226799621515394133488609069073440570638328844894097095858504985806827280005822840090254021398937331683528641094693936967756023<260>

14086161402139035555677745101252066284033590092202797417138058197859502322893679529989822022930338835100051517576356761673748988129028496162381138600619801581120728173813836810152990187770922257<194>

3878625821256024708840420696254885677134933857221237208217199931132320264611816716732669076692248575886110237643177196030480672401793861777823125529804127308408524624497565724464625322128092575081309331729265393903202710376787727583<232>

28436148171835441414936721638130198731368018160129260412642443436039451186722075632931264772577001310817698662684025587727039155677032159471884301850659601140725429749527003381007261712094699808058170200143609<209>

4347455135621580115174955180454711201272500118196436499711709381319093968612460784596096963465617335912098804612867271651277581206386194221471320110186250412328948019109239048624655396251515495688683085193274269532436634482818585588077539036071378692144202913121<262>

1296886626991733829568451478981845643415003206934222542676340209336550833895607669077276544148695270340460167726441776262278642253338684198072664425070915560622688002853543744160321057660067937618456370479447587853213<217>

112499513796929564872056723730920022111197332888559924487533695445161923814509873944165840511998899090687482722342515141535612773600153997757179772111647176011827043397874927728427667352601520356803751361859<207>

2589299839681366999542907767754410427262014381193695983705362543392182003299589039207773869969757338399785755800766631447590177303303<133>

565988926283353091990219470490394599135827911881451669315779497<63>
4574824204926363551793812351330476235258024931970772910695351397572399<70>

11/20/20 21:41:47 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing nfs on c133: 2589299839681366999542907767754410427262014381193695983705362543392182003299589039207773869969757338399785755800766631447590177303303
11/20/20 21:41:47 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing poly selection with 16 threads
11/20/20 21:41:47 v1.34.5 @ DESKTOP-RJPVCOL, nfs: setting deadline of 5175 seconds
11/20/20 23:18:17 v1.34.5 @ DESKTOP-RJPVCOL, nfs: completed 17 ranges of size 250 in 5790.2157 seconds
11/20/20 23:18:17 v1.34.5 @ DESKTOP-RJPVCOL, nfs: best poly = # norm 1.028174e-012 alpha -6.510102 e 5.648e-011 rroots 3
11/20/20 23:18:17 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/20/20 23:43:21 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 00:07:32 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 00:32:30 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 00:56:18 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 01:19:49 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 01:43:47 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 02:08:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 02:32:19 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 02:56:18 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 03:20:50 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 03:45:38 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 04:10:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 04:34:37 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 04:58:52 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 05:23:30 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 05:48:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 06:12:50 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 06:37:18 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 07:03:00 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 07:28:19 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 07:52:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 08:17:51 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 08:43:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 09:07:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 09:31:44 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 09:56:08 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 10:20:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 10:43:52 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 11:08:49 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 11:33:23 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 11:58:17 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 12:22:53 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 12:49:37 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 13:13:42 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 13:38:15 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 14:03:09 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 14:28:02 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 14:52:21 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/21/20 15:17:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/21/20 15:20:59 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
11/21/20 15:58:14 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
11/21/20 16:03:39 v1.34.5 @ DESKTOP-RJPVCOL, prp70 = 4574824204926363551793812351330476235258024931970772910695351397572399
11/21/20 16:03:39 v1.34.5 @ DESKTOP-RJPVCOL, prp63 = 565988926283353091990219470490394599135827911881451669315779497
11/21/20 16:03:39 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 66112.1758 seconds.
Sat Nov 21 15:17:03 2020  
Sat Nov 21 15:17:03 2020  commencing relation filtering
Sat Nov 21 15:17:03 2020  estimated available RAM is 32701.3 MB
Sat Nov 21 15:17:03 2020  commencing duplicate removal, pass 1
Sat Nov 21 15:18:04 2020  found 1852323 hash collisions in 21457519 relations
Sat Nov 21 15:18:21 2020  added 121301 free relations
Sat Nov 21 15:18:21 2020  commencing duplicate removal, pass 2
Sat Nov 21 15:18:28 2020  found 1237906 duplicates and 20340914 unique relations
Sat Nov 21 15:18:28 2020  memory use: 98.6 MB
Sat Nov 21 15:18:28 2020  reading ideals above 720000
Sat Nov 21 15:18:28 2020  commencing singleton removal, initial pass
Sat Nov 21 15:19:52 2020  memory use: 689.0 MB
Sat Nov 21 15:19:52 2020  reading all ideals from disk
Sat Nov 21 15:19:52 2020  memory use: 642.7 MB
Sat Nov 21 15:19:53 2020  keeping 21698762 ideals with weight <= 200, target excess is 128069
Sat Nov 21 15:19:54 2020  commencing in-memory singleton removal
Sat Nov 21 15:19:55 2020  begin with 20340914 relations and 21698762 unique ideals
Sat Nov 21 15:20:07 2020  reduce to 8432127 relations and 7798146 ideals in 22 passes
Sat Nov 21 15:20:07 2020  max relations containing the same ideal: 115
Sat Nov 21 15:20:09 2020  removing 1681655 relations and 1438945 ideals in 242710 cliques
Sat Nov 21 15:20:10 2020  commencing in-memory singleton removal
Sat Nov 21 15:20:10 2020  begin with 6750472 relations and 7798146 unique ideals
Sat Nov 21 15:20:14 2020  reduce to 6468522 relations and 6066393 ideals in 13 passes
Sat Nov 21 15:20:14 2020  max relations containing the same ideal: 95
Sat Nov 21 15:20:16 2020  removing 1277912 relations and 1035202 ideals in 242710 cliques
Sat Nov 21 15:20:16 2020  commencing in-memory singleton removal
Sat Nov 21 15:20:17 2020  begin with 5190610 relations and 6066393 unique ideals
Sat Nov 21 15:20:19 2020  reduce to 4972827 relations and 4804725 ideals in 10 passes
Sat Nov 21 15:20:19 2020  max relations containing the same ideal: 75
Sat Nov 21 15:20:20 2020  removing 174031 relations and 154490 ideals in 19541 cliques
Sat Nov 21 15:20:20 2020  commencing in-memory singleton removal
Sat Nov 21 15:20:21 2020  begin with 4798796 relations and 4804725 unique ideals
Sat Nov 21 15:20:22 2020  reduce to 4794576 relations and 4645997 ideals in 6 passes
Sat Nov 21 15:20:22 2020  max relations containing the same ideal: 72
Sat Nov 21 15:20:22 2020  relations with 0 large ideals: 471
Sat Nov 21 15:20:22 2020  relations with 1 large ideals: 1327
Sat Nov 21 15:20:22 2020  relations with 2 large ideals: 22557
Sat Nov 21 15:20:22 2020  relations with 3 large ideals: 157904
Sat Nov 21 15:20:22 2020  relations with 4 large ideals: 570815
Sat Nov 21 15:20:22 2020  relations with 5 large ideals: 1159568
Sat Nov 21 15:20:22 2020  relations with 6 large ideals: 1386789
Sat Nov 21 15:20:22 2020  relations with 7+ large ideals: 1495145
Sat Nov 21 15:20:22 2020  commencing 2-way merge
Sat Nov 21 15:20:24 2020  reduce to 2741953 relation sets and 2593374 unique ideals
Sat Nov 21 15:20:24 2020  commencing full merge
Sat Nov 21 15:20:49 2020  memory use: 295.2 MB
Sat Nov 21 15:20:49 2020  found 1409513 cycles, need 1389574
Sat Nov 21 15:20:49 2020  weight of 1389574 cycles is about 97375387 (70.08/cycle)
Sat Nov 21 15:20:49 2020  distribution of cycle lengths:
Sat Nov 21 15:20:49 2020  1 relations: 165936
Sat Nov 21 15:20:49 2020  2 relations: 163139
Sat Nov 21 15:20:49 2020  3 relations: 167126
Sat Nov 21 15:20:49 2020  4 relations: 151341
Sat Nov 21 15:20:49 2020  5 relations: 134748
Sat Nov 21 15:20:49 2020  6 relations: 117298
Sat Nov 21 15:20:49 2020  7 relations: 101903
Sat Nov 21 15:20:49 2020  8 relations: 86268
Sat Nov 21 15:20:49 2020  9 relations: 71685
Sat Nov 21 15:20:49 2020  10+ relations: 230130
Sat Nov 21 15:20:49 2020  heaviest cycle: 20 relations
Sat Nov 21 15:20:50 2020  commencing cycle optimization
Sat Nov 21 15:20:51 2020  start with 7835877 relations
Sat Nov 21 15:20:58 2020  pruned 146888 relations
Sat Nov 21 15:20:58 2020  memory use: 273.1 MB
Sat Nov 21 15:20:58 2020  distribution of cycle lengths:
Sat Nov 21 15:20:58 2020  1 relations: 165936
Sat Nov 21 15:20:58 2020  2 relations: 166506
Sat Nov 21 15:20:58 2020  3 relations: 172199
Sat Nov 21 15:20:58 2020  4 relations: 154001
Sat Nov 21 15:20:58 2020  5 relations: 137021
Sat Nov 21 15:20:58 2020  6 relations: 118202
Sat Nov 21 15:20:58 2020  7 relations: 102542
Sat Nov 21 15:20:58 2020  8 relations: 85695
Sat Nov 21 15:20:58 2020  9 relations: 70721
Sat Nov 21 15:20:58 2020  10+ relations: 216751
Sat Nov 21 15:20:58 2020  heaviest cycle: 19 relations
Sat Nov 21 15:20:59 2020  RelProcTime: 236
Sat Nov 21 15:20:59 2020  
Sat Nov 21 15:20:59 2020  commencing linear algebra
Sat Nov 21 15:20:59 2020  read 1389574 cycles
Sat Nov 21 15:21:00 2020  cycles contain 4661258 unique relations
Sat Nov 21 15:21:15 2020  read 4661258 relations
Sat Nov 21 15:21:18 2020  using 20 quadratic characters above 268434402
Sat Nov 21 15:21:32 2020  building initial matrix
Sat Nov 21 15:22:00 2020  memory use: 615.4 MB
Sat Nov 21 15:22:01 2020  read 1389574 cycles
Sat Nov 21 15:22:01 2020  matrix is 1389397 x 1389574 (423.4 MB) with weight 132981354 (95.70/col)
Sat Nov 21 15:22:01 2020  sparse part has weight 94308489 (67.87/col)
Sat Nov 21 15:22:06 2020  filtering completed in 2 passes
Sat Nov 21 15:22:06 2020  matrix is 1387099 x 1387276 (423.2 MB) with weight 132894532 (95.80/col)
Sat Nov 21 15:22:06 2020  sparse part has weight 94286206 (67.96/col)
Sat Nov 21 15:22:08 2020  matrix starts at (0, 0)
Sat Nov 21 15:22:08 2020  matrix is 1387099 x 1387276 (423.2 MB) with weight 132894532 (95.80/col)
Sat Nov 21 15:22:08 2020  sparse part has weight 94286206 (67.96/col)
Sat Nov 21 15:22:08 2020  saving the first 48 matrix rows for later
Sat Nov 21 15:22:08 2020  matrix includes 64 packed rows
Sat Nov 21 15:22:08 2020  matrix is 1387051 x 1387276 (406.1 MB) with weight 105826397 (76.28/col)
Sat Nov 21 15:22:08 2020  sparse part has weight 92579617 (66.73/col)
Sat Nov 21 15:22:08 2020  using block size 65536 for processor cache size 12288 kB
Sat Nov 21 15:22:12 2020  commencing Lanczos iteration (16 threads)
Sat Nov 21 15:22:12 2020  memory use: 478.4 MB
Sat Nov 21 15:22:15 2020  linear algebra at 0.1%, ETA 0h30m
Sat Nov 21 15:22:16 2020  checkpointing every 2430000 dimensions
Sat Nov 21 15:58:13 2020  lanczos halted after 21936 iterations (dim = 1387049)
Sat Nov 21 15:58:14 2020  recovered 30 nontrivial dependencies
Sat Nov 21 15:58:14 2020  BLanczosTime: 2235
Sat Nov 21 15:58:14 2020  
Sat Nov 21 15:58:14 2020  commencing square root phase
Sat Nov 21 15:58:14 2020  reading relations for dependency 1
Sat Nov 21 15:58:14 2020  read 694100 cycles
Sat Nov 21 15:58:15 2020  cycles contain 2335010 unique relations
Sat Nov 21 15:58:23 2020  read 2335010 relations
Sat Nov 21 15:58:30 2020  multiplying 2335010 relations
Sat Nov 21 15:59:36 2020  multiply complete, coefficients have about 106.55 million bits
Sat Nov 21 15:59:36 2020  initial square root is modulo 44435819
Sat Nov 21 16:00:56 2020  GCD is N, no factor found
Sat Nov 21 16:00:56 2020  reading relations for dependency 2
Sat Nov 21 16:00:56 2020  read 693107 cycles
Sat Nov 21 16:00:57 2020  cycles contain 2328566 unique relations
Sat Nov 21 16:01:05 2020  read 2328566 relations
Sat Nov 21 16:01:12 2020  multiplying 2328566 relations
Sat Nov 21 16:02:18 2020  multiply complete, coefficients have about 106.25 million bits
Sat Nov 21 16:02:18 2020  initial square root is modulo 42329503
Sat Nov 21 16:03:39 2020  sqrtTime: 325

yafu v1.34.5 

 Intel(R) Core(TM) i7-9700 CPU @ 3.00GHz

17919311455003312995216264441056546602227506629748340695947498891426669983673501930051842174385709082075292603841203781163481017489532057568687335377434222608924265804940638972500659827350739753023633<200>

6669066148145079649776244740491559531125603982598591557825516830261958269055949644582109802294305312967131757203104269192819744394042029980997328513835819045295018932415932437120505067509993324478309895807040591537339494589485568325137362787<241>

36522742761908344481470658287928856830751131516686051667837595691189612874252579703014285464059272938189740585609866690541705352602024482018974225013386806451450509562727595437662428649620567941825527126115122140426917271094053281788555162747928013785410644076847472001<269>

175923518631713742901175135623916246828697440806575959759082484847328416003781858122147154713125696895572305405001399021553219910504249801768022991660802183075308305115505996592751275456951699912753032088916475571684946275432138099<231>

779434845433685829494535528442697947465506841635499827696184481315826317364239743636084988406393820952319339912218099120144717667751672447962250411565955727905920655286463253008350572645909472345018393200911899797415140736217131841501534463637269729371453023413151033915451<273>

17703450823022364105545318289235881442645355842680939778835214730687360820448724942148442107392230796347689577956371173205473110339191478975049862875708718927401024985544025937325800810065651034445825559489901619710845111844869971473101930052338039426912741682531540357339729<275>

55977239677031596380650448558548606326161720408640276528794897755496902836200167007635010444628666497865293471851424520203699360958163398536292166198972638758814415119224399351345271196789483026933593255109891751038348760776350564212413046501885957<248>

347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739<282>

1954433234431601111747097258048170998992448135944277955370746737659434326385664396397835898099828428368386341768754308288492140516703823821994012608444568048231171105653198863505869127578895724065806382649780855386874965014118202709940411358406661204888984442215516491218131711<277>