6650566184713520577229342457283806957571304619907813740865953503893265437080189165572898977817995351<100>

308329791740905884729958499921<30>
21569651596632252696300635208887484844727114745035205266294179951841831<71>

Number: z4
N=6650566184713520577229342457283806957571304619907813740865953503893265437080189165572898977817995351
  ( 100 digits)
SNFS difficulty: 108 digits.
Divisors found:
 r1=308329791740905884729958499921 (pp30)
 r2=21569651596632252696300635208887484844727114745035205266294179951841831 (pp71)
Version: Msieve-1.40
Total time: 0.78 hours.
Scaled time: 1.53 units (timescale=1.969).
Factorization parameters were as follows:
n: 6650566184713520577229342457283806957571304619907813740865953503893265437080189165572898977817995351
m: 1000000000000000000000
deg: 5
c5: 7900
c0: -61
skew: 0.38
type: snfs
lss: 1
rlim: 460000
alim: 460000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 460000/460000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [230000, 430001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 51296 x 51522
Total sieving time: 0.75 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,108.000,5,0,0,0,0,0,0,0,0,460000,460000,25,25,44,44,2.2,2.2,50000
total time: 0.78 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

40493887045724397567599156958601038287090294560871383233680822913729810395098974538433566210056350111<101>

196196407679326112823318995706337<33>
206394640578280970639740030153761236285516671528503427923504851090303<69>

Number: z6
N=40493887045724397567599156958601038287090294560871383233680822913729810395098974538433566210056350111
  ( 101 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=196196407679326112823318995706337 (pp33)
 r2=206394640578280970639740030153761236285516671528503427923504851090303 (pp69)
Version: Msieve-1.40
Total time: 1.44 hours.
Scaled time: 2.84 units (timescale=1.969).
Factorization parameters were as follows:
n: 40493887045724397567599156958601038287090294560871383233680822913729810395098974538433566210056350111
m: 10000000000000000000000
deg: 5
c5: 79000
c0: -61
skew: 0.24
type: snfs
lss: 1
rlim: 580000
alim: 580000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 580000/580000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [290000, 640001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 64091 x 64316
Total sieving time: 1.41 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,114.000,5,0,0,0,0,0,0,0,0,580000,580000,25,25,45,45,2.2,2.2,50000
total time: 1.44 hours.
 --------- CPU info (if available) ----------

7538859442337039768496419033528419217940814342666563445848892851362163662646752705751198019289350211<100>

1673585391690931083447027044685259<34>
4504615945960214582466663837762699062781182423522241149657618100329<67>

Number: z8
N=7538859442337039768496419033528419217940814342666563445848892851362163662646752705751198019289350211
  ( 100 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=1673585391690931083447027044685259 (pp34)
 r2=4504615945960214582466663837762699062781182423522241149657618100329 (pp67)
Version: Msieve-1.40
Total time: 1.71 hours.
Scaled time: 3.36 units (timescale=1.969).
Factorization parameters were as follows:
n: 7538859442337039768496419033528419217940814342666563445848892851362163662646752705751198019289350211
m: 100000000000000000000000
deg: 5
c5: 7900
c0: -61
skew: 0.38
type: snfs
lss: 1
rlim: 670000
alim: 670000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 670000/670000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [335000, 735001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 80826 x 81051
Total sieving time: 1.67 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,118.000,5,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000
total time: 1.71 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

2055780459238923166686018326647844201007249673357953620338553264383029226283942174705381093048009117277042067297617957553541<124>

329344685065080426743605314752659199<36>
6242033202487202676795582271690832824801530619520921520900256830690241322862786737979259<88>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 2055780459238923166686018326647844201007249673357953620338553264383029226283942174705381093048009117277042067297617957553541 (124 digits)
Using B1=2100000, B2=2854078510, polynomial Dickson(6), sigma=1050175587
Step 1 took 18000ms
Step 2 took 8109ms
********** Factor found in step 2: 329344685065080426743605314752659199
Found probable prime factor of 36 digits: 329344685065080426743605314752659199
Probable prime cofactor 6242033202487202676795582271690832824801530619520921520900256830690241322862786737979259 has 88 digits

120090742168239383598095498124469802920669034363321599309681908085248821078247804543141809427642527063914027620668376227627<123>

71436629715040003457520882663869504660122166835199143581<56>
1681080737533113540674577975058146959258127765323054940763295921767<67>

Number: z3
N=120090742168239383598095498124469802920669034363321599309681908085248821078247804543141809427642527063914027620668376227627
  ( 123 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=71436629715040003457520882663869504660122166835199143581 (pp56)
 r2=1681080737533113540674577975058146959258127765323054940763295921767 (pp67)
Version: Msieve-1.40
Total time: 3.93 hours.
Scaled time: 7.56 units (timescale=1.922).
Factorization parameters were as follows:
n: 120090742168239383598095498124469802920669034363321599309681908085248821078247804543141809427642527063914027620668376227627
m: 100000000000000000000000000
deg: 5
c5: 790000
c0: -61
skew: 0.15
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [645000, 1470001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 232702 x 232936
Total sieving time: 3.81 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,135.000,5,0,0,0,0,0,0,0,0,1290000,1290000,26,26,47,47,2.3,2.3,75000
total time: 3.93 hours.
 --------- CPU info (if available) ----------

18185249223255344952099437405532421266945511947329240752740699218918969938288914179221409053704921791113<104>

1252988721691243041084988527551132521<37>
14513497933731991274329945432186247343808989316012517794693274667553<68>

Number: 87771_136
N=18185249223255344952099437405532421266945511947329240752740699218918969938288914179221409053704921791113
  ( 104 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=1252988721691243041084988527551132521 (pp37)
 r2=14513497933731991274329945432186247343808989316012517794693274667553 (pp68)
Version: Msieve-1.40
Total time: 6.15 hours.
Scaled time: 19.32 units (timescale=3.143).
Factorization parameters were as follows:
name: 87771_136
n: 18185249223255344952099437405532421266945511947329240752740699218918969938288914179221409053704921791113
m: 1000000000000000000000000000
deg: 5
c5: 790
c0: -61
skew: 0.60
type: snfs
lss: 1
rlim: 1390000
alim: 1390000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1390000/1390000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [695000, 1670001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 227270 x 227518
Total sieving time: 6.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,137.000,5,0,0,0,0,0,0,0,0,1390000,1390000,26,26,48,48,2.3,2.3,75000
total time: 6.15 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

385909036797085896802735750308517385688052784341617690058748996177779448304340574148933575874998339225927991191773<114>

905643007694124585471018143262388668743335769<45>
426116067278713342110925584122483586061999056774327983627182468737317<69>

Number: zz4
N=385909036797085896802735750308517385688052784341617690058748996177779448304340574148933575874998339225927991191773
  ( 114 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=905643007694124585471018143262388668743335769 (pp45)
 r2=426116067278713342110925584122483586061999056774327983627182468737317 (pp69)
Version: Msieve-1.40
Total time: 8.99 hours.
Scaled time: 16.88 units (timescale=1.877).
Factorization parameters were as follows:
n: 385909036797085896802735750308517385688052784341617690058748996177779448304340574148933575874998339225927991191773
m: 10000000000000000000000000000
deg: 5
c5: 79000
c0: -61
skew: 0.24
type: snfs
lss: 1
rlim: 1820000
alim: 1820000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1820000/1820000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [910000, 2610001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 330151 x 330377
Total sieving time: 8.65 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,144.000,5,0,0,0,0,0,0,0,0,1820000,1820000,26,26,49,49,2.3,2.3,100000
total time: 8.99 hours.
 --------- CPU info (if available) ----------

381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077<144>

46726943527797995166740502586648044620610699677837<50>
8167504297606250256902579904024903876169601924709798447910959837547030637423490823647531507521<94>

Number: 87771_144
N=381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077
  ( 144 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=46726943527797995166740502586648044620610699677837 (pp50)
 r2=8167504297606250256902579904024903876169601924709798447910959837547030637423490823647531507521 (pp94)
Version: Msieve-1.40
Total time: 15.08 hours.
Scaled time: 30.68 units (timescale=2.035).
Factorization parameters were as follows:
name: 87771_144
n: 381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077
m: 10000000000000000000000000000
deg: 5
c5: 790000
c0: -61
skew: 0.15
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1890000/1890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [945000, 2845001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 347131 x 347377
Total sieving time: 14.40 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.54 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,145.000,5,0,0,0,0,0,0,0,0,1890000,1890000,26,26,49,49,2.3,2.3,100000
total time: 15.08 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

111725582584567400685622277167143132227214163459904422313193841289989106107306788786604982340410059893796089246867259681143420169770433<135>

2949508982608327836352977118791467<34>
37879383735853399457525851782344214092011550827382323056976705633766240245074246360706794805491605699<101>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1407170212
Step 1 took 5028ms
Step 2 took 3276ms
********** Factor found in step 2: 2949508982608327836352977118791467
Found probable prime factor of 34 digits: 2949508982608327836352977118791467
Probable prime cofactor has 101 digits

5193951347797501643655489809335963182117028270874424720578566732412886259040105193951347797501643655489809335963182117028270874424720578566732412886259<151>

483111686146728449630899303280381076685017145810455694913378633594930865229<75>
10751036451268990279062521740046370115978228214976035375969713145707164395071<77>

Number: 87771_152
N=5193951347797501643655489809335963182117028270874424720578566732412886259040105193951347797501643655489809335963182117028270874424720578566732412886259
  ( 151 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=483111686146728449630899303280381076685017145810455694913378633594930865229 (pp75)
 r2=10751036451268990279062521740046370115978228214976035375969713145707164395071 (pp77)
Version: Msieve-1.40
Total time: 23.16 hours.
Scaled time: 75.38 units (timescale=3.254).
Factorization parameters were as follows:
name: 87771_152
n: 5193951347797501643655489809335963182117028270874424720578566732412886259040105193951347797501643655489809335963182117028270874424720578566732412886259
m: 1000000000000000000000000000000
deg: 5
c5: 7900
c0: -61
skew: 0.38
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 480467 x 480715
Total sieving time: 22.55 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.44 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 23.16 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

58765950482748507146899632831310262116587357839247046122489269032110057768436037306751668464052539749512319639329841201495841981<128>

282897361552873906847448520044091<33>
207728874388123517344917532177780911507992090149669299217634185802925167712090237123719940626791<96>

Number: 87771_154
N=58765950482748507146899632831310262116587357839247046122489269032110057768436037306751668464052539749512319639329841201495841981
  ( 128 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=282897361552873906847448520044091 (pp33)
 r2=207728874388123517344917532177780911507992090149669299217634185802925167712090237123719940626791 (pp96)
Version: Msieve-1.40
Total time: 26.70 hours.
Scaled time: 90.58 units (timescale=3.392).
Factorization parameters were as follows:
name: 87771_154
n: 58765950482748507146899632831310262116587357839247046122489269032110057768436037306751668464052539749512319639329841201495841981
m: 1000000000000000000000000000000
deg: 5
c5: 790000
c0: -61
skew: 0.15
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 530836 x 531084
Total sieving time: 26.06 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 26.70 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

6941374690278540116272328652658663179410997872432139147037627523093765445156685469742687220079255202708875535070899912319<121>

170259640210702242721599973883<30>
481290377007072021386065803949695913<36>
84708423304189576531263867055284537177032681272189126661<56>

Number: 87771_155
N=6941374690278540116272328652658663179410997872432139147037627523093765445156685469742687220079255202708875535070899912319
  ( 121 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=170259640210702242721599973883 (pp30)
 r2=481290377007072021386065803949695913 (pp36)
 r3=84708423304189576531263867055284537177032681272189126661 (pp56)
Version: Msieve-1.40
Total time: 23.94 hours.
Scaled time: 77.89 units (timescale=3.254).
Factorization parameters were as follows:
name: 87771_155
n: 6941374690278540116272328652658663179410997872432139147037627523093765445156685469742687220079255202708875535070899912319
m: 10000000000000000000000000000000
deg: 5
c5: 79
c0: -61
skew: 0.95
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 506357 x 506605
Total sieving time: 23.30 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.48 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 23.94 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

1363099001364079587325477667605351681457961727926339823151738680573181328084207509002392841328620006057545149<109>

659538349963567642465075857069345273090500670035537<51>
2066747144331146260444193213663445171366054382152872962477<58>

Number: 87771_157
N=1363099001364079587325477667605351681457961727926339823151738680573181328084207509002392841328620006057545149
  ( 109 digits)
Divisors found:
 r1=659538349963567642465075857069345273090500670035537 (pp51)
 r2=2066747144331146260444193213663445171366054382152872962477 (pp58)
Version: Msieve-1.40
Total time: 12.61 hours.
Scaled time: 39.05 units (timescale=3.097).
Factorization parameters were as follows:
name: 87771_157
n: 1363099001364079587325477667605351681457961727926339823151738680573181328084207509002392841328620006057545149
skew: 12745.88
# norm 2.19e+15
c5: 50460
c4: -3151835332
c3: -128228683155041
c2: 975779833116929784
c1: 1824737432335638002392
c0: -37895779452297672474303
# alpha -5.98
Y1: 38225323853
Y0: -485642244610221965132
# Murphy_E 1.20e-09
# M 82277419879785642914365049550576447026138144704204135872068605667487810033706599398721549414211387618052485
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 369098 x 369346
Polynomial selection time: 1.38 hours.
Total sieving time: 10.78 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 12.61 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

465091698287731428629644819803766601199777313093516896860464929185645605789588175775241<87>

1762811864772708120360083874569<31>
263835130442407710560163562347228890965895437514034719489<57>

Sat Nov 06 22:51:03 2010  Msieve v. 1.42
Sat Nov 06 22:51:03 2010  random seeds: 6a55aae8 ea2c2c79
Sat Nov 06 22:51:03 2010  factoring 465091698287731428629644819803766601199777313093516896860464929185645605789588175775241 (87 digits)
Sat Nov 06 22:51:04 2010  searching for 15-digit factors
Sat Nov 06 22:51:04 2010  commencing quadratic sieve (87-digit input)
Sat Nov 06 22:51:04 2010  using multiplier of 1
Sat Nov 06 22:51:04 2010  using 32kb Intel Core sieve core
Sat Nov 06 22:51:04 2010  sieve interval: 20 blocks of size 32768
Sat Nov 06 22:51:04 2010  processing polynomials in batches of 11
Sat Nov 06 22:51:04 2010  using a sieve bound of 1488749 (56667 primes)
Sat Nov 06 22:51:04 2010  using large prime bound of 119099920 (26 bits)
Sat Nov 06 22:51:04 2010  using double large prime bound of 344065019589840 (42-49 bits)
Sat Nov 06 22:51:04 2010  using trial factoring cutoff of 49 bits
Sat Nov 06 22:51:04 2010  polynomial 'A' values have 11 factors
Sat Nov 06 23:24:38 2010  57105 relations (16601 full + 40504 combined from 588324 partial), need 56763
Sat Nov 06 23:24:38 2010  begin with 604925 relations
Sat Nov 06 23:24:39 2010  reduce to 134390 relations in 9 passes
Sat Nov 06 23:24:39 2010  attempting to read 134390 relations
Sat Nov 06 23:24:41 2010  recovered 134390 relations
Sat Nov 06 23:24:41 2010  recovered 106898 polynomials
Sat Nov 06 23:24:41 2010  attempting to build 57105 cycles
Sat Nov 06 23:24:41 2010  found 57105 cycles in 6 passes
Sat Nov 06 23:24:41 2010  distribution of cycle lengths:
Sat Nov 06 23:24:41 2010     length 1 : 16601
Sat Nov 06 23:24:41 2010     length 2 : 11588
Sat Nov 06 23:24:41 2010     length 3 : 10150
Sat Nov 06 23:24:41 2010     length 4 : 7192
Sat Nov 06 23:24:41 2010     length 5 : 4955
Sat Nov 06 23:24:41 2010     length 6 : 3028
Sat Nov 06 23:24:41 2010     length 7 : 1673
Sat Nov 06 23:24:41 2010     length 9+: 1918
Sat Nov 06 23:24:41 2010  largest cycle: 17 relations
Sat Nov 06 23:24:41 2010  matrix is 56667 x 57105 (12.7 MB) with weight 3107983 (54.43/col)
Sat Nov 06 23:24:41 2010  sparse part has weight 3107983 (54.43/col)
Sat Nov 06 23:24:42 2010  filtering completed in 3 passes
Sat Nov 06 23:24:42 2010  matrix is 51553 x 51617 (11.6 MB) with weight 2823024 (54.69/col)
Sat Nov 06 23:24:42 2010  sparse part has weight 2823024 (54.69/col)
Sat Nov 06 23:24:42 2010  saving the first 48 matrix rows for later
Sat Nov 06 23:24:42 2010  matrix is 51505 x 51617 (7.2 MB) with weight 2174880 (42.13/col)
Sat Nov 06 23:24:42 2010  sparse part has weight 1569590 (30.41/col)
Sat Nov 06 23:24:42 2010  matrix includes 64 packed rows
Sat Nov 06 23:24:42 2010  using block size 20646 for processor cache size 1024 kB
Sat Nov 06 23:24:43 2010  commencing Lanczos iteration
Sat Nov 06 23:24:43 2010  memory use: 7.6 MB
Sat Nov 06 23:24:59 2010  lanczos halted after 816 iterations (dim = 51505)
Sat Nov 06 23:24:59 2010  recovered 17 nontrivial dependencies
Sat Nov 06 23:24:59 2010  prp31 factor: 1762811864772708120360083874569
Sat Nov 06 23:24:59 2010  prp57 factor: 263835130442407710560163562347228890965895437514034719489
Sat Nov 06 23:24:59 2010  elapsed time 00:33:56

1620308370677354705396011138991290738066202976220911452987953742193906361003645340230662085868726540602460986616720199461766001940712282060627026761<148>

171229977788486522490134302412177816017077466349<48>
218108233118343273101622619310667969984596550841<48>
43385620759542457489846665325570076366969113940799029<53>

Number: 87771_159
N=1620308370677354705396011138991290738066202976220911452987953742193906361003645340230662085868726540602460986616720199461766001940712282060627026761
  ( 148 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=171229977788486522490134302412177816017077466349 (pp48)
 r2=218108233118343273101622619310667969984596550841 (pp48)
 r3=43385620759542457489846665325570076366969113940799029 (pp53)
Version: Msieve v. 1.42
Total time: 2.50 hours.
Scaled time: 2.13 units (timescale=0.854).
Factorization parameters were as follows:
name: 87771_159
n: 1620308370677354705396011138991290738066202976220911452987953742193906361003645340230662085868726540602460986616720199461766001940712282060627026761
m: 10000000000000000000000000000000
deg: 5
c5: 790000
c0: -61
skew: 0.15
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 723308 x 723533
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.75 hours.
Time per square root: 0.66 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 2.50 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.05 BogoMIPS (lpj=2913529)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.59 BogoMIPS).

Total time: 23 hours.

152310267196552158265405846130769739458828124804189727694305967419869857624603776407756564235120009886671521315436298544318720994774986643931949314999033119<156>

9834961554699411381712567484111938154292089854156079653580279<61>
15486615412723619802117802528991761625755850971787528009910956171781365803691317304542939815961<95>

Number: 7882
N=152310267196552158265405846130769739458828124804189727694305967419869857624603776407756564235120009886671521315436298544318720994774986643931949314999033119
  ( 156 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=9834961554699411381712567484111938154292089854156079653580279 (pp61)
 r2=15486615412723619802117802528991761625755850971787528009910956171781365803691317304542939815961 (pp95)
Version: Msieve-1.40
Total time: 42.95 hours.
Scaled time: 83.59 units (timescale=1.946).
Factorization parameters were as follows:
n: 152310267196552158265405846130769739458828124804189727694305967419869857624603776407756564235120009886671521315436298544318720994774986643931949314999033119
m: 100000000000000000000000000000000
deg: 5
c5: 79
c0: -61
skew: 0.95
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 718514 x 718740
Total sieving time: 41.76 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.64 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 42.95 hours.
 --------- CPU info (if available) ----------

80921058326110769888821835078624246440201789927890470270772814810941315836622639709833160206477889495617176261231051143<119>

2246105086229293428624449106215815300722588698073558559<55>
36027280656738582881701800707435815279073845359324215603029421977<65>

Number: 87771_164
N=80921058326110769888821835078624246440201789927890470270772814810941315836622639709833160206477889495617176261231051143
  ( 119 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=2246105086229293428624449106215815300722588698073558559 (pp55)
 r2=36027280656738582881701800707435815279073845359324215603029421977 (pp65)
Version: Msieve v. 1.42
Total time: 3.10 hours.
Scaled time: 2.65 units (timescale=0.854).
Factorization parameters were as follows:
name: 87771_164
n: 80921058326110769888821835078624246440201789927890470270772814810941315836622639709833160206477889495617176261231051143
m: 100000000000000000000000000000000
deg: 5
c5: 790000
c0: -61
skew: 0.15
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 893058 x 893294
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 2.84 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 3.10 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.05 BogoMIPS (lpj=2913529)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.59 BogoMIPS).

Total time: 33 hours.

11889174831068370280072840007825785964753863981820097220341023673002543380438545005794091531596610832693725826598642527126883079747768898520625460893644558821316237<164>

339743914260542408588631432579146089<36>
34994518906822313340067522344295000905705974001460069830212340107924892851930961110246043828345157337484576700107940671109497733<128>

********** Factor found in step 2: 339743914260542408588631432579146089
Found probable prime factor of 36 digits: 339743914260542408588631432579146089
Probable prime cofactor 34994518906822313340067522344295000905705974001460069830212340107924892851930961110246043828345157337484576700107940671109497733 has 128 digits

13101160862354892205638474295190713101160862354892205638474295190713101160862354892205638474295190713101160862354892205638474295190713101160862354892205638474295190713<167>

4761581618537886955649649558378236204248478613823024920714973<61>
2751430493462337125863040234542204756301174614483245971563661306306688697343365510280113972843542375082381<106>

Number: 2
N=13101160862354892205638474295190713101160862354892205638474295190713101160862354892205638474295190713101160862354892205638474295190713101160862354892205638474295190713
  ( 167 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=4761581618537886955649649558378236204248478613823024920714973 (pp61)
 r2=2751430493462337125863040234542204756301174614483245971563661306306688697343365510280113972843542375082381 (pp106)
Version: Msieve-1.40
Total time: 67.38 hours.
Scaled time: 117.18 units (timescale=1.739).
Factorization parameters were as follows:
n: 13101160862354892205638474295190713101160862354892205638474295190713101160862354892205638474295190713101160862354892205638474295190713101160862354892205638474295190713
m: 1000000000000000000000000000000000
deg: 5
c5: 7900
c0: -61
skew: 0.38
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 6100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 995682 x 995916
Total sieving time: 65.78 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.30 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 67.38 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

28285763779468987665704085017451828447633410382186830393070609543289374178846370136402877487427338618280630301730416172545845269683<131>

341980171186760207139822960218198635457191<42>
82711707176793393966920290889605896107287435574909440823639902283244529241372740052968213<89>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1219505516
Step 1 took 3625ms
Step 2 took 2191ms
********** Factor found in step 2: 341980171186760207139822960218198635457191
Found probable prime factor of 42 digits: 341980171186760207139822960218198635457191
Probable prime cofactor 82711707176793393966920290889605896107287435574909440823639902283244529241372740052968213 has 89 digits

83414236500979507206361853586955403164843139191302133989267280032259934895123600657836751729003265072570114968796950166033210746944370021010078480588881195345169<161>

1183441575701186302131088160312677<34>
70484456701258591201925237007784844869970820745523347885624032254445134333468169027110477710082495198180960238131007816888001597<128>

********** Factor found in step 2: 1183441575701186302131088160312677
Found probable prime factor of 34 digits: 1183441575701186302131088160312677
Probable prime cofactor 70484456701258591201925237007784844869970820745523347885624032254445134333468169027110477710082495198180960238131007816888001597 has 128 digits

43457826594495458587632385550520688247562226028097125871766691860098848593561093088444813166796659828907298413480802530922418078828608516617<140>

2233665304180847651588572362183341762819<40>
19455836339112028520819235599462871879368676592495879685671172336481522682482259643165234362807696643<101>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1758375481
Step 1 took 12424ms
Step 2 took 5265ms
********** Factor found in step 2: 2233665304180847651588572362183341762819
Found probable prime factor of 40 digits: 2233665304180847651588572362183341762819
Probable prime cofactor 19455836339112028520819235599462871879368676592495879685671172336481522682482259643165234362807696643 has 101 digits

GMP-ECM 6.3

3011243315734713085340892789994744576208463806362788611748831367761218568258386842639712377821337885210573998641291555710359132523<130>

2073930540587887007613038484364401567188903<43>
1451949936028778756613995082375174055454837617918758486038272172674517481898218237712541<88>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3670607971
Step 1 took 15865ms
Step 2 took 9813ms
********** Factor found in step 2: 2073930540587887007613038484364401567188903
Found probable prime factor of 43 digits: 2073930540587887007613038484364401567188903
Probable prime cofactor 1451949936028778756613995082375174055454837617918758486038272172674517481898218237712541 has 88 digits

GMP-ECM 6.3

516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163<180>

12284507044017267610269745199317946937151<41>
5297949400925739781922687659467629538022838209379209869441679303989893<70>
7933596719067472816007632853080115143795374467070943737921652774186241<70>

Number: n
N=516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163
  ( 180 digits)
SNFS difficulty: 181 digits.
Divisors found:

Mon Nov  8 10:11:18 2010  prp41 factor: 12284507044017267610269745199317946937151
Mon Nov  8 10:11:18 2010  prp70 factor: 5297949400925739781922687659467629538022838209379209869441679303989893
Mon Nov  8 10:11:18 2010  prp70 factor: 7933596719067472816007632853080115143795374467070943737921652774186241
Mon Nov  8 10:11:18 2010  elapsed time 01:45:47 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.086).
Factorization parameters were as follows:
name: KA_8_7_179_1
n: 516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163
m: 1000000000000000000000000000000000000
deg: 5
c5: 79
c0: -61
skew: 0.95
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 15050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4083002 hash collisions in 34501376 relations
Msieve: matrix is 988744 x 988969 (277.5 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,181,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,56,56,2.5,2.5,100000
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: 4015340k/5242880k available (3972k kernel code, 1049604k absent, 177936k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.50 BogoMIPS (lpj=2830252)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830447)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Total of 4 processors activated (22643.23 BogoMIPS).

102908376487370386450428115549357964588745413663240973209074376478684921752165241961054611290030634406224198195197245505381694555893664439057690275293270736328795654243<168>

368847879578950865668961324131717<33>
278999506801673598525385373663162162646805330852100309385102215048887531559540533975063968969844941704939379897836223324265530970375879<135>

********** Factor found in step 2: 368847879578950865668961324131717
Found probable prime factor of 33 digits: 368847879578950865668961324131717
Probable prime cofactor 278999506801673598525385373663162162646805330852100309385102215048887531559540533975063968969844941704939379897836223324265530970375879 has 135 digits

5592423466770081832742124756675774461041558758395340895855756348863777694000936303921383688740571865334837828051858409453468683977440773753109877759476319<154>

302215417215762054308997746011401613<36>

18504759016901699004860710453399823056265079446241286510482996794316341606239360313672870474352443931527459685740471963<119>

********** Factor found in step 2: 302215417215762054308997746011401613
Found probable prime factor of 36 digits: 302215417215762054308997746011401613
Composite cofactor 18504759016901699004860710453399823056265079446241286510482996794316341606239360313672870474352443931527459685740471963 has 119 digits

18504759016901699004860710453399823056265079446241286510482996794316341606239360313672870474352443931527459685740471963<119>

906186696771929602573615632637<30>
20420470839861605146628895728048519685509989254804880751815879494584496864271530412135799<89>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1556836399
Step 1 took 5570ms
Step 2 took 4149ms
********** Factor found in step 2: 906186696771929602573615632637
Found probable prime factor of 30 digits: 906186696771929602573615632637
Probable prime cofactor 20420470839861605146628895728048519685509989254804880751815879494584496864271530412135799 has 89 digits

GMP-ECM 6.3

48763314249511331765404484401067251348729579477173519091221818121131274222283069403507512236907867005701566819300145936030639<125>

75595811515720928372054096387<29>
645053122280068358468110066798979364644621136894035558095948861079347203625655291418743869095397<96>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2018098079
Step 1 took 5179ms
Step 2 took 4134ms
********** Factor found in step 2: 75595811515720928372054096387
Found probable prime factor of 29 digits: 75595811515720928372054096387
Probable prime cofactor 645053122280068358468110066798979364644621136894035558095948861079347203625655291418743869095397 has 96 digits

GMP-ECM 6.3

184718946960076783834668570096825644057551283922592252448012754634748181460335886349197453540541302534796102645220778856107834229844035360421900674758432053313<159>

157981852680873955683679485539069773584422071760766582801096905072231175033263<78>
1169241554175290094039444329760120460913406627772633629492995343840429687026606351<82>

N=184718946960076783834668570096825644057551283922592252448012754634748181460335886349197453540541302534796102645220778856107834229844035360421900674758432053313
  ( 159 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=157981852680873955683679485539069773584422071760766582801096905072231175033263 (pp78)
 r2=1169241554175290094039444329760120460913406627772633629492995343840429687026606351 (pp82)
Version: Msieve-1.40
Total time: 321.12 hours.
Scaled time: 632.28 units (timescale=1.969).
Factorization parameters were as follows:
n: 184718946960076783834668570096825644057551283922592252448012754634748181460335886349197453540541302534796102645220778856107834229844035360421900674758432053313
m: 1000000000000000000000000000000000000
deg: 5
c5: 790000
c0: -61
skew: 0.15
type: snfs
lss: 1
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4400000, 9500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1800794 x 1801019
Total sieving time: 316.99 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.61 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8800000,8800000,28,28,54,54,2.5,2.5,100000
total time: 321.12 hours.
 --------- CPU info (if available) ----------

26207640556578332694487122859594320783242490025255572450158483120930830497111784696495820135137736697008600345339675825700565060866628449046817212112247013578487<161>

24298503797864830149466937292796942858010711<44>
1078570136441127833208460795264955093919944338900455569611630814304105654886474618623671957066206509777464599340792417<118>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3954758282
Step 1 took 99738ms
Step 2 took 32953ms
********** Factor found in step 2: 24298503797864830149466937292796942858010711
Found probable prime factor of 44 digits: 24298503797864830149466937292796942858010711

2295411664834235834858126261392664706142236257608905743914980556969847536162081858866688508119996052239705677386305762881982861020362033098159606761544486790185955977<166>

550239396612182153720348238983680643216332933319395281613045668664887511<72>
4171659970127657034859811418930857062264199614261063537966397988760278820537736222114121749407<94>

2295411664834235834858126261392664706142236257608905743914980556969847536162081858866688508119996052239705677386305762881982861020362033098159606761544486790185955977=550239396612182153720348238983680643216332933319395281613045668664887511*4171659970127657034859811418930857062264199614261063537966397988760278820537736222114121749407

n: 2295411664834235834858126261392664706142236257608905743914980556969847536162081858866688508119996052239705677386305762881982861020362033098159606761544486790185955977
skew: 0.24
type: snfs
c0: -61
c5: 79000
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 79000*x^5-61
# g(x) = -x+10000000000000000000000000000000000000

Info:Square Root: Factors: 4171659970127657034859811418930857062264199614261063537966397988760278820537736222114121749407 550239396612182153720348238983680643216332933319395281613045668664887511
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.5/1.95565
Info:Generate Free Relations: Total cpu/real time for freerel: 103.28/26.4094
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27669365
Info:Lattice Sieving: Average J: 1894.3 for 3336507 special-q, max bucket fill -bkmult 1.0,1s:1.089770
Info:Lattice Sieving: Total time: 723034s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 56.46/118.607
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 117.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 474.37/441.756
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 381.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 392.99/411.772
Info:Filtering - Merging: Total cpu/real time for merge: 311.17/90.1571
Info:Filtering - Merging: Total cpu/real time for replay: 87.84/76.7966
Info:Linear Algebra: Total cpu/real time for bwc: 89829.2/22957.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 14649.53, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (71680 iterations)
Info:Linear Algebra: Lingen CPU time 453.93, WCT time 131.74
Info:Linear Algebra: Mksol: WCT time 7958.61, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35840 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 80.31/33.3372
Info:Square Root: Total cpu/real time for sqrt: 730.84/228.913
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.42973e+06/385991
Info:root: Cleaning up computation data in /tmp/cado.wfegvhv0
4171659970127657034859811418930857062264199614261063537966397988760278820537736222114121749407 550239396612182153720348238983680643216332933319395281613045668664887511

cado-nfs-3.0.0

Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

301405413705121524319859324953263005398829450914045164879195065322559375554339650579103917644253021253449262236908195659457828839303407584029748127208551418627708367307<168>

58726959396101717050264630988315654530713887360056009913367027552353877227060616853<83>
5132317709013362454749036552794783023825350630363625872100739885071653993999697450719<85>

301405413705121524319859324953263005398829450914045164879195065322559375554339650579103917644253021253449262236908195659457828839303407584029748127208551418627708367307=58726959396101717050264630988315654530713887360056009913367027552353877227060616853*5132317709013362454749036552794783023825350630363625872100739885071653993999697450719

n: 301405413705121524319859324953263005398829450914045164879195065322559375554339650579103917644253021253449262236908195659457828839303407584029748127208551418627708367307
skew: 0.95
type: snfs
c0: -61
c5: 79
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 79*x^5-61
# g(x) = -x+100000000000000000000000000000000000000

Info:Square Root: Factors: 5132317709013362454749036552794783023825350630363625872100739885071653993999697450719 58726959396101717050264630988315654530713887360056009913367027552353877227060616853
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.81/2.10495
Info:Generate Free Relations: Total cpu/real time for freerel: 102.1/26.2714
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27962931
Info:Lattice Sieving: Average J: 1893.79 for 3414422 special-q, max bucket fill -bkmult 1.0,1s:1.075410
Info:Lattice Sieving: Total time: 781830s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 56.93/117.732
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 116.99999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 474.28/440.913
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 380.70000000000005s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 387.79/401.962
Info:Filtering - Merging: Total cpu/real time for merge: 329.7/95.1019
Info:Filtering - Merging: Total cpu/real time for replay: 90.31/79.4788
Info:Linear Algebra: Total cpu/real time for bwc: 97988/25035.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 15844.84, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (73728 iterations)
Info:Linear Algebra: Lingen CPU time 469.8, WCT time 137.06
Info:Linear Algebra: Mksol: WCT time 8823.93, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36864 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 82.56/35.1078
Info:Square Root: Total cpu/real time for sqrt: 634.06/201.252
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.54349e+06/417486
Info:root: Cleaning up computation data in /tmp/cado.b46ei36z
5132317709013362454749036552794783023825350630363625872100739885071653993999697450719 58726959396101717050264630988315654530713887360056009913367027552353877227060616853

cado-nfs-3.0.0

Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

270232188844457475191742675584643594248067785942536695673508154642755536304129398336076949035005246197389801308287118263831384988661698315881524798612972013369889483487967207943043<180>

76616478704596067817883417342799533<35>

3527076595184826628705449446819294580848199097209417398543582578168483060816370865439895483090001375286637007728463196070063601020882665036511471<145>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=521402141
Step 1 took 6153ms
Step 2 took 2960ms
********** Factor found in step 2: 76616478704596067817883417342799533
Found probable prime factor of 35 digits: 76616478704596067817883417342799533
Composite cofactor 3527076595184826628705449446819294580848199097209417398543582578168483060816370865439895483090001375286637007728463196070063601020882665036511471 has 145 digits

3527076595184826628705449446819294580848199097209417398543582578168483060816370865439895483090001375286637007728463196070063601020882665036511471<145>

400410573054732800847298699697547823<36>
8808650002113467024773633502340663117499630292686455115279180017238075800517507495044356862109751845614611777<109>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3472213446
Step 1 took 5960ms
Step 2 took 4414ms
********** Factor found in step 2: 400410573054732800847298699697547823
Found probable prime factor of 36 digits: 400410573054732800847298699697547823
Probable prime cofactor 8808650002113467024773633502340663117499630292686455115279180017238075800517507495044356862109751845614611777 has 109 digits

GMP-ECM 6.3

2335846041675225358890769765814049538243426666699641306241195890890895728211121760700288936780290928289441371609142200841068587<127>

13076297232412872990114811916740629691054632396813485647<56>
178632069932247086294087745430407177099261306884801399872032647876210021<72>

Msieve v. 1.48
Tue Nov 30 17:28:34 2010
random seeds: 43761bb4 26dec229
factoring 2335846041675225358890769765814049538243426666699641306241195890890895728211121760700288936780290928289441371609142200841068587 (127 digits)
searching for 15-digit factors
commencing number field sieve (127-digit input)
R0: -5786550444923498776069405
R1:  26961498967889
A0:  6250486199595389414009028316519248
A1:  608720670221834268046765012
A2: -19891211537715344262639
A3:  4793710810822950
A4:  7649718344
A5:  360
skew 1728230.76, size 2.477e-12, alpha -6.632, combined = 9.521e-11 rroots = 5

commencing linear algebra
read 996962 cycles
cycles contain 3299327 unique relations
read 3299327 relations
using 20 quadratic characters above 268431504
building initial matrix
memory use: 422.1 MB
read 996962 cycles
matrix is 996783 x 996962 (303.5 MB) with weight 94546914 (94.84/col)
sparse part has weight 67607991 (67.81/col)
filtering completed in 1 passes
matrix is 996783 x 996962 (303.5 MB) with weight 94546914 (94.84/col)
sparse part has weight 67607991 (67.81/col)
matrix starts at (0, 0)
matrix is 996783 x 996962 (303.5 MB) with weight 94546914 (94.84/col)
sparse part has weight 67607991 (67.81/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 996735 x 996962 (290.6 MB) with weight 75750107 (75.98/col)
sparse part has weight 66218004 (66.42/col)
using block size 65536 for processor cache size 6144 kB
commencing Lanczos iteration
memory use: 225.7 MB
linear algebra at 0.3%, ETA 3h 0m996962 dimensions (0.3%, ETA 3h 0m)    
linear algebra completed 996423 of 996962 dimensions (99.9%, ETA 0h 0m)      
lanczos halted after 15762 iterations (dim = 996735)
recovered 31 nontrivial dependencies
BLanczosTime: 10999
elapsed time 03:03:20
root@debian:/mnt/fas/sieve/w# msieve -s w.dat -nc3 -t 1 -i w.ini -nf w.fb -v


Msieve v. 1.48
Tue Nov 30 20:33:25 2010
random seeds: b9bb3569 7aa4b835
factoring 2335846041675225358890769765814049538243426666699641306241195890890895728211121760700288936780290928289441371609142200841068587 (127 digits)
searching for 15-digit factors
commencing number field sieve (127-digit input)
R0: -5786550444923498776069405
R1:  26961498967889
A0:  6250486199595389414009028316519248
A1:  608720670221834268046765012
A2: -19891211537715344262639
A3:  4793710810822950
A4:  7649718344
A5:  360
skew 1728230.76, size 2.477e-12, alpha -6.632, combined = 9.521e-11 rroots = 5

commencing square root phase
reading relations for dependency 1
read 497511 cycles
cycles contain 1648070 unique relations
read 1648070 relations
multiplying 1648070 relations
multiply complete, coefficients have about 70.77 million bits
initial square root is modulo 120383
reading relations for dependency 2
read 498745 cycles
cycles contain 1650482 unique relations
read 1650482 relations
multiplying 1650482 relations
multiply complete, coefficients have about 70.88 million bits
initial square root is modulo 122497
sqrtTime: 515
prp56 factor: 13076297232412872990114811916740629691054632396813485647
prp72 factor: 178632069932247086294087745430407177099261306884801399872032647876210021
elapsed time 00:08:36

1386138734633185360158539780989067415844484386932187566208148372297337134125849078388146650499116421711460667791618149940155388973091473464517389463387117974161345780016861<172>

4612505696824561960933987359170230207386484379<46>
300517511682957941528846087088561505005184467732540374378991414086843306305934416832544378123016381022160754456156853070531559<126>

N=1386138734633185360158539780989067415844484386932187566208148372297337134125849078388146650499116421711460667791618149940155388973091473464517389463387117974161345780016861
  ( 172 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=4612505696824561960933987359170230207386484379 (pp46)
 r2=300517511682957941528846087088561505005184467732540374378991414086843306305934416832544378123016381022160754456156853070531559 (pp126)
Version: Msieve v. 1.48
Total time:
Scaled time: 34.61 units (timescale=0.453).
Factorization parameters were as follows:
n: 1386138734633185360158539780989067415844484386932187566208148372297337134125849078388146650499116421711460667791618149940155388973091473464517389463387117974161345780016861
m: 100000000000000000000000000000000000000
deg: 5
c5: 790000
c0: -61
skew: 0.15
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6450000, 17330001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2597715 x 2597941
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,195.000,5,0,0,0,0,0,0,0,0,12900000,12900000,28,28,55,55,2.5,2.5,100000
total time:

1253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253<196>

867791668044392567957241181609689039539741918775572799726214570181417981385112462133<84>
1445010709533692171992659102637302205467863566644487242538296880307677083852865571006219038898486342150455577641<112>

Number: n
N=1253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253
  ( 196 digits)
SNFS difficulty: 196 digits.
Divisors found:

Mon Nov 15 01:14:59 2010  prp84 factor: 867791668044392567957241181609689039539741918775572799726214570181417981385112462133
Mon Nov 15 01:14:59 2010  prp112 factor: 1445010709533692171992659102637302205467863566644487242538296880307677083852865571006219038898486342150455577641
Mon Nov 15 01:14:59 2010  elapsed time 05:40:37 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
name: KA_8_7_194_1
n: 1253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253
m: 1000000000000000000000000000000000000000
deg: 5
c5: 79
c0: -61
skew: 0.95
type: snfs
lss: 1
rlim: 13400000
alim: 13400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 27800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4425316 hash collisions in 31145286 relations
Msieve: matrix is 1984144 x 1984369 (560.3 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,196,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,56,56,2.5,2.5,100000
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.. 5660.88 BogoMIPS (lpj=2830444)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830451)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22643.63 BogoMIPS).

860745986992845017134490291058207470395989477226044471059016642977334121739326292227431394223601710183633123204945481797960118811936463<135>

177180089747567654229226471781039120441<39>
4858028846351577282984243168307127461739872961358774185058257954416040172686378040639853008457543<97>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=896507356
Step 1 took 7042ms
Step 2 took 3345ms
********** Factor found in step 2: 177180089747567654229226471781039120441
Found probable prime factor of 39 digits: 177180089747567654229226471781039120441
Probable prime cofactor 4858028846351577282984243168307127461739872961358774185058257954416040172686378040639853008457543 has 97 digits

2116561086852789220047670844538290512514847806634845713939994508852858476605623916982316320466489763472934835854971660036068864036073213970985383829944459017771284800652448227106691689766379<190>

58073795988716534667956265139228020652355422208517906272187517677297496758817895965548359519<92>
36446060582367081378981589237963865441015535609051698429698347632736388750335857624901577071261941<98>

Number: n
N=2116561086852789220047670844538290512514847806634845713939994508852858476605623916982316320466489763472934835854971660036068864036073213970985383829944459017771284800652448227106691689766379
  ( 190 digits)
SNFS difficulty: 198 digits.
Divisors found:

Tue Nov 23 12:29:51 2010  prp92 factor: 58073795988716534667956265139228020652355422208517906272187517677297496758817895965548359519
Tue Nov 23 12:29:51 2010  prp98 factor: 36446060582367081378981589237963865441015535609051698429698347632736388750335857624901577071261941
Tue Nov 23 12:29:51 2010  elapsed time 11:56:27 (Msieve 1.44 - dependency 8)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
name: KA_8_7_196_1
n: 2116561086852789220047670844538290512514847806634845713939994508852858476605623916982316320466489763472934835854971660036068864036073213970985383829944459017771284800652448227106691689766379
m: 1000000000000000000000000000000000000000
deg: 5
c5: 7900
c0: -61
skew: 0.38
type: snfs
lss: 1
rlim: 14500000
alim: 14500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 14500000/14500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4706770 hash collisions in 30038446 relations
Msieve: matrix is 2443906 x 2444131 (694.9 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,198,5,0,0,0,0,0,0,0,0,14500000,14500000,28,28,56,56,2.5,2.5,100000
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.. 5660.32 BogoMIPS (lpj=2830164)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830451)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22643.06 BogoMIPS).

8777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<199>

29629584811836743794510637895020661187306304730081588382958929<62>
296250448108578866231954797406612270023925973431832955446451068154501967178575437936642155510613197852873223725226101088918268525828802299<138>

Number: 87771_198
N=8777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
  ( 199 digits)
SNFS difficulty: 199 digits.
Divisors found:
 r1=29629584811836743794510637895020661187306304730081588382958929 (pp62)
 r2=296250448108578866231954797406612270023925973431832955446451068154501967178575437936642155510613197852873223725226101088918268525828802299 (pp138)
Version: Msieve v. 1.42
Total time: 30.93 hours.
Scaled time: 31.67 units (timescale=1.024).
Factorization parameters were as follows:
name: 87771_198
n: 8777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
m: 1000000000000000000000000000000000000000
deg: 5
c5: 79000
c0: -61
skew: 0.24
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [7500000, 21800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3108119 x 3108343
Total sieving time: 0.00 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 28.65 hours.
Time per square root: 2.01 hours.
Prototype def-par.txt line would be:
snfs,199.000,5,0,0,0,0,0,0,0,0,15000000,15000000,28,28,55,55,2.5,2.5,100000
total time: 30.93 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4788.28 BogoMIPS (lpj=2394141)
Calibrating delay using timer specific routine.. 4787.75 BogoMIPS (lpj=2393878)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393891)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393888)
Total of 4 processors activated (19151.59 BogoMIPS).

Total time: 27 days.

45140392660170103440126082658897029951744522555117716562959025521157334899375640451430659797160866831814355627545398371164725198915763975536650722980090800201<158>

5538839151704080123180624608605294563841<40>

8149793020489176535461278382427740645327803686647452611197979665615673053868306013498220395453590353289400213689189961<118>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=4202667096
Step 1 took 5180ms
Step 2 took 2668ms
********** Factor found in step 2: 5538839151704080123180624608605294563841
Found probable prime factor of 40 digits: 5538839151704080123180624608605294563841
Composite cofactor 8149793020489176535461278382427740645327803686647452611197979665615673053868306013498220395453590353289400213689189961 has 118 digits

8149793020489176535461278382427740645327803686647452611197979665615673053868306013498220395453590353289400213689189961<118>

8186337106288989853260817605265330114523<40>
995535966168344197024620099125521940520714724757816535216376073393580191432107<78>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=215362845
Step 1 took 16271ms
Step 2 took 9547ms
********** Factor found in step 2: 8186337106288989853260817605265330114523
Found probable prime factor of 40 digits: 8186337106288989853260817605265330114523
Probable prime cofactor 995535966168344197024620099125521940520714724757816535216376073393580191432107 has 78 digits

GMP-ECM 6.3

2089638229179288986746450801487977877833231469624621429136097718893621371857419962605683666320265725305650213423091880220688462951318834280860300082918784183451031799<166>

1545711026801067262258130597777<31>

1351894495767367686591277278964795750651863663271531566565539242972967331470419601401138027665704705723377603479238514792813451840967687<136>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2958849684
Step 1 took 5199ms
********** Factor found in step 1: 1545711026801067262258130597777
Found probable prime factor of 31 digits: 1545711026801067262258130597777
Composite cofactor 1351894495767367686591277278964795750651863663271531566565539242972967331470419601401138027665704705723377603479238514792813451840967687 has 136 digits

1351894495767367686591277278964795750651863663271531566565539242972967331470419601401138027665704705723377603479238514792813451840967687<136>

1323956361323474725312973507387644756300727484604333793<55>
1021102005519249131686004118845922586357168145957363149093260745204186517230352359<82>

Number: 87771_200
N = 1351894495767367686591277278964795750651863663271531566565539242972967331470419601401138027665704705723377603479238514792813451840967687 (136 digits)
Divisors found:
r1=1323956361323474725312973507387644756300727484604333793 (pp55)
r2=1021102005519249131686004118845922586357168145957363149093260745204186517230352359 (pp82)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 217.46 hours.
Factorization parameters were as follows:
# Murphy_E = 4.105e-11, selected by Erik Branger
n: 1351894495767367686591277278964795750651863663271531566565539242972967331470419601401138027665704705723377603479238514792813451840967687
Y0: -262725587880307851366259575
Y1: 536246095018837
c0: -167285801655400846296128775493013584
c1: -23652455778078019323456423754
c2: 36840751920144946839223
c3: -25620263000531216
c4: 8750242626
c5: 1080
skew: 3547231.63
type: gnfs
# selected mechanically
rlim: 13500000
alim: 13500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [6750000, 15450000)
Relations: 22220713
Relations in full relation-set: 3386694 relations
Pruned matrix : 2021681 x 2021908
Polynomial selection time: 0.00 hours.
Total sieving time: 212.56 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 4.60 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: gnfs,135,5,65,2000,1e-05,0.28,250,20,50000,3600,13500000,13500000,28,28,55,55,2.6,2.6,100000
total time: 217.46 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

28808737127042577975868607450015129893745099829882976401383525118593442137354723547629554628607944804423679765067770161687786240632686642778398365114262316273063430317526646293<176>

1229471384969630279918201673838830634921<40>

23431807750250482989690912734156566780962635307620256048942552804924513592947228335892068021678679365910546922960928487923635388186465933<137>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=484081516
Step 1 took 118144ms
Step 2 took 37344ms
********** Factor found in step 2: 1229471384969630279918201673838830634921
Found probable prime factor of 40 digits: 1229471384969630279918201673838830634921

23431807750250482989690912734156566780962635307620256048942552804924513592947228335892068021678679365910546922960928487923635388186465933<137>

249841185696411677281604637553243936141441632478749103963<57>
93786809748505849849548244136047631486785672436348571536745715191541511404443191<80>

Number: 87771_201
N = 23431807750250482989690912734156566780962635307620256048942552804924513592947228335892068021678679365910546922960928487923635388186465933 (137 digits)
Divisors found:
r1=249841185696411677281604637553243936141441632478749103963 (pp57)
r2=93786809748505849849548244136047631486785672436348571536745715191541511404443191 (pp80)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 223.86 hours.
Factorization parameters were as follows:
# Murphy_E = 3.74e-11, selected by Erik Branger
n: 23431807750250482989690912734156566780962635307620256048942552804924513592947228335892068021678679365910546922960928487923635388186465933
Y0: -299892574653022307803876329
Y1: 104186115364973
c0: -26268073525485754075783662261632
c1: 1387504747726688268244351528
c2: -2929409869660402202749
c3: -48039921073851628
c4: 6740690046
c5: 9660
skew: 530259.66
type: gnfs
# selected mechanically
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [7500000, 17300000)
Relations: 22354850
Relations in full relation-set: 3578588 relations
Pruned matrix : 2165035 x 2165262
Polynomial selection time: 0.00 hours.
Total sieving time: 219.13 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 4.42 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,15000000,15000000,28,28,55,55,2.6,2.6,100000
total time: 223.86 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

813402967300409822225938773226609207516322556683283897965249292121622339374702936100359353336152322807444253473925387808287130833927094587754366867647421697658946377451400373170747547487282441<192>

2592833231824492486881315017596014603206214072792672330144243343594299494656888341470512991<91>
313712026410601266088943210755249869682950805072022316529497936351527658391890786085040846855730508951<102>

Number: n
N=813402967300409822225938773226609207516322556683283897965249292121622339374702936100359353336152322807444253473925387808287130833927094587754366867647421697658946377451400373170747547487282441
  ( 192 digits)
SNFS difficulty: 203 digits.
Divisors found:

Fri May 14 16:48:29 2021  p91 factor: 2592833231824492486881315017596014603206214072792672330144243343594299494656888341470512991
Fri May 14 16:48:29 2021  p102 factor: 313712026410601266088943210755249869682950805072022316529497936351527658391890786085040846855730508951
Fri May 14 16:48:29 2021  elapsed time 02:30:06 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 79x10^202-61 = 87(201)1
#
n: 813402967300409822225938773226609207516322556683283897965249292121622339374702936100359353336152322807444253473925387808287130833927094587754366867647421697658946377451400373170747547487282441
m: 10000000000000000000000000000000000000000
deg: 5
c5: 7900
c0: -61
skew: 0.38
# Murphy_E = 7.311e-12
type: snfs
lss: 1
rlim: 17500000
alim: 17500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17500000/17500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9130736 hash collisions in 56907092 relations (49549717 unique)
Msieve: matrix is 2567044 x 2567269 (898.4 MB)

Sieving start time : 2021/05/13 21:36:16
Sieving end time  : 2021/05/14 14:16:56

Total sieving time: 16hrs 40min 40secs.

Total relation processing time: 2hrs 11min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 13sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17500000,17500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

23063465558955130845741691439394885745495295518999637817445950193382771292810335546514104054098199698667955403881563<116>

2562384595712584951050797054511830619762148060471<49>
9000782161095262489298073730434681758703200192798149404854207814653<67>

N = 23063465558955130845741691439394885745495295518999637817445950193382771292810335546514104054098199698667955403881563 (116 digits)
Divisors found:
r1=2562384595712584951050797054511830619762148060471 (pp49)
r2=9000782161095262489298073730434681758703200192798149404854207814653 (pp67)
Version: Msieve v. 1.48
Total time: 9.88 hours.
Factorization parameters were as follows:
n: 23063465558955130845741691439394885745495295518999637817445950193382771292810335546514104054098199698667955403881563
Y0: -19710787464827997106702
Y1: 1772334202847
c0: -6353807203389639025669845435
c1: 302317965719307181670434
c2: 7502789656428536691
c3: -190448619182454
c4: -1801230724
c5: 7752
skew: 72197.15  
type: gnfs
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 9591058
Relations: 1132876 relations
Pruned matrix : 618591 x 618819
Polynomial selection time: 0.00 hours.
Total sieving time: 9.38 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.42 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: gnfs,115,5,63,2000,2.6e-05,0.28,250,20,50000,3600,3400000,3400000,27,27,53,53,2.5,2.5,100000
total time: 9.88 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199<204>

12055508234040442596106958436596264454200409765684803248937033<62>
25107360590779498124157620273970914609999179903684853269405292195823536602428127849407019214096579813661835760741335066277061913848438715198703<143>

Number: n
N=302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199
  ( 204 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sun Jun 10 18:03:44 2012  prp62 factor: 12055508234040442596106958436596264454200409765684803248937033
Sun Jun 10 18:03:44 2012  prp143 factor: 25107360590779498124157620273970914609999179903684853269405292195823536602428127849407019214096579813661835760741335066277061913848438715198703
Sun Jun 10 18:03:44 2012  elapsed time 16:06:43 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.083).
Factorization parameters were as follows:
name: KA_87771_204
n: 302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199
m: 10000000000000000000000000000000000000000
#  c204, diff: 205.9
skew: 0.15
deg: 5
c5: 790000
c0: -61
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36050000)
Primes: RFBsize:1205065, AFBsize:1201534, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6242867 hash collisions in 32293277 relations (27058817 unique)
Msieve: matrix is 3109031 x 3109255 (883.6 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,205,5,0,0,0,0,0,0,0,0,18900000,18900000,28,28,56,56,2.6,2.6,100000
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.. 5661.11 BogoMIPS (lpj=2830559)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Total of 4 processors activated (22643.85 BogoMIPS).

40264888968755737144078678330557934562286201365535774941423372161743891528713626149391736809202647945092133044593208768700058090351317555664051858397251826314738836749783536867<176>

1864449660506016005389962714156807375737<40>
21596125560090344276853090869627494814729835998754302626820226557616377567255146548598959443423059363008682222141288151798938849509650491<137>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2171068435
Step 1 took 118270ms
********** Factor found in step 1: 1864449660506016005389962714156807375737
Found probable prime factor of 40 digits: 1864449660506016005389962714156807375737

2053563673337851734697629055804199711452231864759433348921305979298313377717582449198830827865565146789427537977153688639844066392269967317385398366020309607369085962188438033150552700669<187>

128080337687578569520552422491232416739588074434411949040322955490310461467217380851<84>
16033403021992575021796452720262357149419503379108842882382875038929082361700332885295208183677231389519<104>

Number: n
N=2053563673337851734697629055804199711452231864759433348921305979298313377717582449198830827865565146789427537977153688639844066392269967317385398366020309607369085962188438033150552700669  ( 187 digits)
SNFS difficulty: 207 digits.
Divisors found:

Sun Nov 28 03:17:00 2021  p84 factor: 128080337687578569520552422491232416739588074434411949040322955490310461467217380851
Sun Nov 28 03:17:00 2021  p104 factor: 16033403021992575021796452720262357149419503379108842882382875038929082361700332885295208183677231389519
Sun Nov 28 03:17:00 2021  elapsed time 02:58:46 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 79x10^206-61 = 87(205)1
#
n: 2053563673337851734697629055804199711452231864759433348921305979298313377717582449198830827865565146789427537977153688639844066392269967317385398366020309607369085962188438033150552700669
m: 10000000000000000000000000000000000
deg: 6
c6: 7900
c0: -61
skew: 0.44
# Murphy_E = 5.302e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 58800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 12058713 hash collisions in 67816824 relations (58217504 unique)
Msieve: matrix is 2726425 x 2726652 (947.5 MB)

Sieving start time : 2021/11/27 00:19:06
Sieving end time  : 2021/11/28 00:16:48

Total sieving time: 23hrs 57min 42secs.

Total relation processing time: 2hrs 36min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 53sec.

Prototype def-par.txt line would be:
snfs,207,6,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117806] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239948K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487288K reserved, 0K cma-reserved)
[    0.152615] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798284)
[    0.150213] smpboot: Total of 16 processors activated (102386.27 BogoMIPS)

100528752861174135375100425692178022653144082646060885126222459316642502603389459266707248814012300692066738246093987487844150147029425213293194470048425683356445365376069531<174>

25198013132959468270606165287244307788747657592988626696676107853711149612721672214491359265031652796844966509643208422276765445209086531662695529254130647482509539535895767<173>

72291492763393277613356480322525082249<38>
348561250705271827087174271102139999325351210572099944326914239643951699763393052170200174971684990290350368666532630353153144231205983<135>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3126133891
Step 1 took 60385ms
Step 2 took 23958ms
********** Factor found in step 2: 72291492763393277613356480322525082249
Found probable prime factor of 38 digits: 72291492763393277613356480322525082249

817221653270438299765178081908367729054815918236456361398173147544714437927360374059936484291758474795435972235152944584096245952683900733430572365494625991786405155737620126410741809680455988993369125572831<207>

2385113914327778617857954070574149347863244075464379124323589984683472026098101075062154781<91>
342634223196322407456742452761855703236587115444108260313043350211481987052606012700278524342850091293344228055659051<117>

Number: n
N=817221653270438299765178081908367729054815918236456361398173147544714437927360374059936484291758474795435972235152944584096245952683900733430572365494625991786405155737620126410741809680455988993369125572831
  ( 207 digits)
SNFS difficulty: 211 digits.
Divisors found:

Tue Aug 28 06:23:21 2012  prp91 factor: 2385113914327778617857954070574149347863244075464379124323589984683472026098101075062154781
Tue Aug 28 06:23:21 2012  prp117 factor: 342634223196322407456742452761855703236587115444108260313043350211481987052606012700278524342850091293344228055659051
Tue Aug 28 06:23:21 2012  elapsed time 23:12:57 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
name: KA_87771_210
n: 817221653270438299765178081908367729054815918236456361398173147544714437927360374059936484291758474795435972235152944584096245952683900733430572365494625991786405155737620126410741809680455988993369125572831
m: 1000000000000000000000000000000000000000000
#  c207, diff: 211.9
skew: 0.95
deg: 5
c5: 79
c0: -61
# Murphy_E = 4.139e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 61400000)
Primes: RFBsize:1507122, AFBsize:1506295, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10826264 hash collisions in 61463126 relations (52267465 unique)
Msieve: matrix is 3635495 x 3635720 (1031.0 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,211,5,0,0,0,0,0,0,0,0,24000000,24000000,29,29,57,57,2.6,2.6,100000
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.. 5662.11 BogoMIPS (lpj=2831056)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22644.83 BogoMIPS).

3040259404288815946874762988933835459246755920166973975574069777033148067319373746809193200240034194649795486200036089313681926939270359367298464034141555306697910615630301904089<178>

15219558834338993057523615111076750042912007<44>
199760021783894152415696542314568564892595051304300389887498773127583278795728905675664964710289693729091416894860474425886245872125727<135>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3642379700
Step 1 took 360235ms
Step 2 took 92228ms
********** Factor found in step 2: 15219558834338993057523615111076750042912007
Found probable prime factor of 44 digits: 15219558834338993057523615111076750042912007

71888992769562212569071455479424209256383080617835425377225298238457322026389114996755501038840147361052154317773174916806672404840265685335200222043290215246001679339419569306361<179>

926516420013495213198055269716486728182935489359129147314902296275636953876024871574119473770902725022204424574495953926079322378364545965093738058247784963839990791066082132740208664963852793<192>

4970016773083991041130293700489<31>

186421185745530984693629374009756743471202906387980726355501441986711054928122176879597861399533186373078445739285308754845330071883561166111566754910136596292337<162>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2405065037
Step 1 took 8533ms
Step 2 took 125ms
********** Factor found in step 2: 4970016773083991041130293700489
Found probable prime factor of 31 digits: 4970016773083991041130293700489
Composite cofactor 186421185745530984693629374009756743471202906387980726355501441986711054928122176879597861399533186373078445739285308754845330071883561166111566754910136596292337 has 162 digits

GMP-ECM 6.3

69913242885126026935208741887894468852694544243652268544943245285001168303651605735074858199397229250980795719088692640304791786747940074654052273715445747935475996153063<170>

2623839075680914543544979848559737438113937<43>

26645400448951994607724710917781310609864823259524337963437666919355493432497350241169145136591733564620436640737410636618090999<128>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2119624070
Step 1 took 386731ms
Step 2 took 105949ms
********** Factor found in step 2: 2623839075680914543544979848559737438113937
Found probable prime factor of 43 digits: 2623839075680914543544979848559737438113937

26645400448951994607724710917781310609864823259524337963437666919355493432497350241169145136591733564620436640737410636618090999<128>

645629173705006187760933136877838216101246382477230113418921<60>
41270440578211106685022700334538083247075156578954076044235264751519<68>

N = 26645400448951994607724710917781310609864823259524337963437666919355493432497350241169145136591733564620436640737410636618090999 (128 digits)
Divisors found:
r1=645629173705006187760933136877838216101246382477230113418921 (pp60)
r2=41270440578211106685022700334538083247075156578954076044235264751519 (pp68)
Version: Msieve v. 1.48
Total time: 34.54 hours.
Factorization parameters were as follows:
n: 26645400448951994607724710917781310609864823259524337963437666919355493432497350241169145136591733564620436640737410636618090999
Y0: -4758595005864956936945930
Y1: 51305207746297
c0: 160278330072264003172249834527
c1: -9264331810801034757219738
c2: 11100097156313172593
c3: 1160346163510814
c4: 13738373932
c5: 10920
skew: 130131.11 
type: gnfs
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19182599
Relations: 2318470 relations
Pruned matrix : 1296140 x 1296364
Polynomial selection time: 0.00 hours.
Total sieving time: 32.18 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.14 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,6400000,6400000,28,28,55,55,2.5,2.5,100000
total time: 34.54 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

1202955029959173910736346234806406602472245407044798825150311906045612553284187077325450373529285409328119544785235374952096688064318646192382228583805348062817951265231997394245426864594535084499803091268079<208>

1456914104727656198027935627929011820647<40>
825686995585813651212524884675077412253317527458403834085298885433619927494103429447558722810349122474155175989720474980515417714194083322130075064640742747189272249657<168>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2249862256
Step 1 took 29416ms
********** Factor found in step 1: 1456914104727656198027935627929011820647
Found probable prime factor of 40 digits: 1456914104727656198027935627929011820647
Probable prime cofactor 825686995585813651212524884675077412253317527458403834085298885433619927494103429447558722810349122474155175989720474980515417714194083322130075064640742747189272249657 has 168 digits

GMP-ECM 6.3

341225551634668503128080400739987561506255362058775104430568567305251800418163662890518517854805527426512733488590058708057295440624459357049267566388751702583539668646718074943778166790590990763605686367<204>

1610298454123117656527870992145846523368197001142209546504628072975609216550128420420118477332363729941815766128571118226457595050306945548698992835653565031754763698003877314774867<181>

193677207374207748939269743519203681995509136572321319<54>
8314341558074134238050678514234552213688051023469616760275604171364696769420983836368069776314297457505668031236262632778523893<127>

Number: 87771_219
N = 1610298454123117656527870992145846523368197001142209546504628072975609216550128420420118477332363729941815766128571118226457595050306945548698992835653565031754763698003877314774867 (181 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=193677207374207748939269743519203681995509136572321319 (pp54)
r2=8314341558074134238050678514234552213688051023469616760275604171364696769420983836368069776314297457505668031236262632778523893 (pp127)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 72.29 hours.
Factorization parameters were as follows:
n: 1610298454123117656527870992145846523368197001142209546504628072975609216550128420420118477332363729941815766128571118226457595050306945548698992835653565031754763698003877314774867
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 79
c0: -610
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 0
Relations: 9580274 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 45.80 hours.
Total relation processing time: 0.38 hours.
Pruned matrix : 8157688 x 8157913
Matrix solve time: 25.84 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 72.29 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_Factory, Msieve

135693429790830051856114668557843979630170667203468670418928259631421945393663560213117891163082881002431526856777476866090646362687638085265217402726986097154239904080283555857<177>

70908193198896692806605211963977855804138751<44>
93709420892987026121107708338177464826523769<44>
20421100680367748416701399948723197229366117898442399938815895027607355869195555858625703<89>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2776897214
Step 1 took 334974ms
Step 2 took 89823ms
********** Factor found in step 2: 93709420892987026121107708338177464826523769
Found probable prime factor of 44 digits: 93709420892987026121107708338177464826523769

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=365008310
Step 1 took 342958ms
Step 2 took 88757ms
********** Factor found in step 2: 70908193198896692806605211963977855804138751
Found probable prime factor of 44 digits: 70908193198896692806605211963977855804138751

4173944850198355885170383399663678870352867451413349746798100334999128354209506005336463583108101703062984489970627639027646197662612736539838846329145213737010836496568249226596116526121<187>

721662771628115983999040455808377<33>
5783788514934305611935291498556882237107021371762461794501769989905088928607046890559286915933770771571285266797828979820602208742354106296658410971469873<154>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3960612412
Step 1 took 24212ms
Step 2 took 9270ms
********** Factor found in step 2: 721662771628115983999040455808377
Found probable prime factor of 33 digits: 721662771628115983999040455808377

29259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259257<224>

666632076872095361220097904509779124036219<42>
43891166168520785137185304910020966975513427149279682338913087697838528186759177709305496420601757867776654468192324002277419964606888913980017436797644634227273266803256576960277403<182>

N=29259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259257
  ( 224 digits)
SNFS difficulty: 224 digits.
Divisors found:
 r1=666632076872095361220097904509779124036219 (pp42)
 r2=43891166168520785137185304910020966975513427149279682338913087697838528186759177709305496420601757867776654468192324002277419964606888913980017436797644634227273266803256576960277403 (pp182)
Version: Msieve v. 1.51
Total time:
Scaled time: 286.03 units (timescale=1.410).
Factorization parameters were as follows:
n: 29259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259257
m: 10000000000000000000000000000000000000
deg: 6
c6: 790
c0: -61
skew: 0.65
type: snfs
lss: 1
rlim: 39000000
alim: 39000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
qintsize: 160000
Factor base limits: 39000000/39000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved rational special-q in [19500000, 113420001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 8261154 x 8261379
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,224.000,6,0,0,0,0,0,0,0,0,39000000,39000000,29,29,59,59,2.6,2.6,100000
total time:
 --------- CPU info (if available) ----------

46114013403549850903199303062147968318367085349551738958630341435600346712727030858501631952945934598646938707285974270065036345992116694515312400710442352119549288230304909410109613810275291352544397207<203>

102404934117987146853214824926269<33>
450310464048724488723786804564707454822574798146148454121967183175806622741178701556989732614158529264370008315593713558074788942169496356889465769774209878331773106453603<171>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3554804965
Step 1 took 5408ms
Step 2 took 3628ms
********** Factor found in step 2: 102404934117987146853214824926269
Found probable prime factor of 33 digits: 102404934117987146853214824926269
Probable prime cofactor 450310464048... has 171 digits

1918531775294493356447266024581834282027897598183081644059219843581975112981806745543828287120793428158684203284065062909557441958574260250368228376793379123579493170920862186792024406511735518419209644599<205>

39608685512792282061374434775447<32>

48437148328865185207314977282168191752618446627843885055160157845807257370622844580549983874931186480715602257019910745883917245302313287456507052085534753533976600305746017<173>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3659404608
Step 1 took 11069ms
Step 2 took 6332ms
********** Factor found in step 2: 39608685512792282061374434775447
Found probable prime factor of 32 digits: 39608685512792282061374434775447
Composite cofactor 484371483288... has 173 digits

46198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409<227>

4255411663273871421412915013<28>

10856489116687238594960314235064319982022641080171758987395099697901037641392789519465790501815343213059143552646520544428619296233894491401552117990269665301584724206119955512513824627826618995133493<200>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=495452184
Step 1 took 12813ms
Step 2 took 6988ms
********** Factor found in step 2: 4255411663273871421412915013
Found probable prime factor of 28 digits: 4255411663273871421412915013
Composite cofactor 108564891166... has 200 digits

10856489116687238594960314235064319982022641080171758987395099697901037641392789519465790501815343213059143552646520544428619296233894491401552117990269665301584724206119955512513824627826618995133493<200>

872054035899980713941698481128939<33>

12449330740707003353115029602080644795892316229427430274270222172350271373645737867034479116480330350250038164320452469459385160374538203511826146036569380637591752287<167>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1012357601
Step 1 took 27286ms
********** Factor found in step 1: 872054035899980713941698481128939
Found probable prime factor of 33 digits: 872054035899980713941698481128939

12449330740707003353115029602080644795892316229427430274270222172350271373645737867034479116480330350250038164320452469459385160374538203511826146036569380637591752287<167>

66129181102778300367037928732004640515523<41>
188257748441768724420534666188471923991905667501963081769163440942891948117778931927645864246538312309174601371413385345564469<126>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=659766415
Step 1 took 254837ms
Step 2 took 73231ms
********** Factor found in step 2: 66129181102778300367037928732004640515523
Found probable prime factor of 41 digits: 66129181102778300367037928732004640515523

208794592735369268520615747833547755527017346416840627836184007555629501081455064562879074282125030478078118556228430673139211304172916852946178391160454960107124192992801540086267862523716680630183086758566499<210>

28809801006395453229054326430089999457210302961246868786020282856039075526981513953816226175493308778690495102274555940669157820696955029701845561515953128390975170093646500564368553584455557591986170359601433019<212>

1672858572068163057614698590267896997166167576895210608210353144226448130601675583520633768097283411995462862493391245530461331681134785823031502447062505176467358667556122369072372635992987426159327517284923<208>

24358894702640893654799383797989818016011296259917859080241686569977678858028841714980703360700937657232266925537113126885637022542365320160762026913860780232888263846503377045981646237767233805937404565455151144478237991<221>

688919198389864018515320638659127374463883<42>

35358130183586538597576553501167134107474772784089794342833118416794804302939997571452498693001421146084634008623107846129151420730995106003805876025480561411363882767101159893077<179>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=387965103
Step 1 took 156175ms
Step 2 took 48040ms
********** Factor found in step 2: 688919198389864018515320638659127374463883
Found probable prime factor of 42 digits: 688919198389864018515320638659127374463883

3132009214676753148893322502987393775695144078200912718440690910346933145298404810883868594270034256583222030044052880826676378493679905737734131264570892402789962865505437572366268078084041432318393569681<205>

1666408022420196784952113472476543800121430868494968775177883370297745935058417015270724494129793051762494259626238573892119343934776708632396295350155776637008683783825229527279623261850909929651119988912365844131741<217>

1402932483900906392516800837435159<34>

1187803434265551236772431855031729120250890768917986264389024350026276825164768669046558575272845954668982571493744688848762754080943066951112142841174489784613995267344761157627189099<184>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1656162428
Step 1 took 27421ms
********** Factor found in step 1: 1402932483900906392516800837435159
Found probable prime factor of 34 digits: 1402932483900906392516800837435159

1187803434265551236772431855031729120250890768917986264389024350026276825164768669046558575272845954668982571493744688848762754080943066951112142841174489784613995267344761157627189099<184>

56909753248152334857093035803328989133<38>

20871702414280194648294745514780145459003500119814608748436345983969215689917120154900345575862295297908063385363859083885007175418043692985594903<146>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=829291841
Step 1 took 117537ms
Step 2 took 38712ms
********** Factor found in step 2: 56909753248152334857093035803328989133
Found probable prime factor of 38 digits: 56909753248152334857093035803328989133

20871702414280194648294745514780145459003500119814608748436345983969215689917120154900345575862295297908063385363859083885007175418043692985594903<146>

58302720535372618969700715771779238843928282141332335944090602247229<68>
357988481885973133672220512870389603652930151897686159235216141183342830676707<78>

PID19989 2020-04-07 03:58:41,144 Debug:root: Root parameter dictionary:
N = 20871702414280194648294745514780145459003500119814608748436345983969215689917120154900345575862295297908063385363859083885007175418043692985594903
name = 87771_233
tasks.I = 14
tasks.lim0 = 13000000
tasks.lim1 = 20000000
tasks.lpb0 = 30
tasks.lpb1 = 31
tasks.qmin = 100000
tasks.threads = 6
tasks.wutimeout = 1800
tasks.filter.required_excess = 0.05
tasks.filter.target_density = 135.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.threads = 6
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 300000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 12600
tasks.polyselect.adrange = 840
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.lambda0 = 1.81
tasks.sieve.lambda1 = 1.79
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 58
tasks.sieve.ncurves0 = 19
tasks.sieve.ncurves1 = 22
tasks.sieve.qrange = 5000
tasks.sieve.rels_wanted = 85000000
tasks.sieve.las.threads = 2
tasks.sqrt.threads = 2
PID19989 2020-04-07 04:37:35,064 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 20871702414280194648294745514780145459003500119814608748436345983969215689917120154900345575862295297908063385363859083885007175418043692985594903
skew: 247917.723
c0: 178403562548018704005224484223680
c1: -6401709356521801211058160016
c2: -16207436865246972580114
c3: 290177272759118367
c4: 192401453170
c5: -393300
Y0: -12161762532783307188495153527
Y1: 66826020746608081049
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=1.342e+13) = 2.512e-06
PID19989 2020-04-07 10:19:05,325 Info:Square Root: Factors: 58302720535372618969700715771779238843928282141332335944090602247229 357988481885973133672220512870389603652930151897686159235216141183342830676707
PID19989 2020-04-07 10:19:05,325 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID19989 2020-04-07 10:19:05,325 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID19989 2020-04-07 10:19:05,325 Info:Polynomial Selection (size optimized): potential collisions: 144726
PID19989 2020-04-07 10:19:05,326 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 146812/43.480/52.935/60.090/1.203
PID19989 2020-04-07 10:19:05,326 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 121904/42.800/46.845/53.120/1.001
PID19989 2020-04-07 10:19:05,326 Info:Polynomial Selection (size optimized): Total time: 60810.3
PID19989 2020-04-07 10:19:05,326 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID19989 2020-04-07 10:19:05,326 Info:Polynomial Selection (root optimized): Total time: 2422.21
PID19989 2020-04-07 10:19:05,326 Info:Polynomial Selection (root optimized): Rootsieve time: 2420.33
PID19989 2020-04-07 10:19:05,326 Info:Generate Factor Base: Total cpu/real time for makefb: 14.38/2.77714
PID19989 2020-04-07 10:19:05,326 Info:Generate Free Relations: Total cpu/real time for freerel: 1337.23/225.825
PID19989 2020-04-07 10:19:05,326 Info:Lattice Sieving: Aggregate statistics:
PID19989 2020-04-07 10:19:05,326 Info:Lattice Sieving: Total number of relations: 94608055
PID19989 2020-04-07 10:19:05,326 Info:Lattice Sieving: Average J: 7747.06 for 661010 special-q, max bucket fill -bkmult 1.0,1s:1.085800
PID19989 2020-04-07 10:19:05,326 Info:Lattice Sieving: Total time: 600971s
PID19989 2020-04-07 10:19:05,326 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 272.07/298.968
PID19989 2020-04-07 10:19:05,326 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID19989 2020-04-07 10:19:05,326 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 296.3s
PID19989 2020-04-07 10:19:05,326 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1057.6/383.471
PID19989 2020-04-07 10:19:05,327 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID19989 2020-04-07 10:19:05,327 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 291.6s
PID19989 2020-04-07 10:19:05,327 Info:Filtering - Singleton removal: Total cpu/real time for purge: 414.14/182.063
PID19989 2020-04-07 10:19:05,327 Info:Filtering - Merging: Total cpu/real time for merge: 154.41/35.1639
PID19989 2020-04-07 10:19:05,327 Info:Filtering - Merging: Total cpu/real time for replay: 56.44/57.0016
PID19989 2020-04-07 10:19:05,327 Info:Linear Algebra: Total cpu/real time for bwc: 45164.4/7907.69
PID19989 2020-04-07 10:19:05,327 Info:Linear Algebra: Aggregate statistics:
PID19989 2020-04-07 10:19:05,327 Info:Linear Algebra: Krylov: WCT time 4994.08, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (71680 iterations)
PID19989 2020-04-07 10:19:05,327 Info:Linear Algebra: Lingen CPU time 282.79, WCT time 53.15
PID19989 2020-04-07 10:19:05,327 Info:Linear Algebra: Mksol: WCT time 2733.68, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35328 iterations)
PID19989 2020-04-07 10:19:05,327 Info:Quadratic Characters: Total cpu/real time for characters: 73.97/23.3033
PID19989 2020-04-07 10:19:05,327 Info:Square Root: Total cpu/real time for sqrt: 1235.14/264.18
PID19989 2020-04-07 10:19:05,327 Info:HTTP server: Shutting down HTTP server
PID19989 2020-04-07 10:19:05,657 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.34441e+06/22823.6

CADO-NFS

110497356828157102225294801354928054154890042847062805161745629504943418174759275179273877348169789242722345679437082910007823989575929981621353868498664860729074477716985887142746962328007214134995065867162208270387512371621<225>

155139938610458659130280360236596541<36>

712243138793584607095955985273221185440405152394901407085580141815481635619984970101754619148453511397851856659090873065620794888723367929057280575797083428567396616346935542043250268959881<189>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=489222084
Step 1 took 28287ms
Step 2 took 9120ms
********** Factor found in step 2: 155139938610458659130280360236596541
Found probable prime factor of 36 digits: 155139938610458659130280360236596541

5170675606711822142267984027950907870553067209715642357224033652844227959490722965588240704209073830529774068321841808433814161491013195928776746301834303160664425901376878585172764057324445237635576746475983694541779<217>

436198083530247361223139243037773128183<39>
11853962229417431781974681670691217256568689680058115877043799951901213804151813166533917911696211443980371741986459123831370864027077064384779569474054058388291642445190132663813<179>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=136159853
Step 1 took 28817ms
Step 2 took 8999ms
********** Factor found in step 2: 436198083530247361223139243037773128183
Found probable prime factor of 39 digits: 436198083530247361223139243037773128183

3687659222028938164821516728346849674786729790654243486110723243994603409163942852236970209437840043619514500184690901907848493937845266811239046312013015012035785032426333841861996864534750466520558329503664570217029<217>

623576911540007913343815485334680485329707<42>

5913719949832271122387497770601780345396596470398897900761133958939052999776797510436501897278427086672890648022246813260391213852478840523796767299656917633925071658005434447<175>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3797490722
Step 1 took 39969ms
Step 2 took 11855ms
********** Factor found in step 2: 623576911540007913343815485334680485329707
Found probable prime factor of 42 digits: 623576911540007913343815485334680485329707