4718423010211259138794297245007442786322594410737558694288228071792107072248790299828640538720776084278326199636955123467452167536705611<136>

217268134271750274716736715143719<33>
21717050344389871464856176217536012976372677149540834313494789291293540788172416316018723197631883531069<104>

Number: 88887_153
N=4718423010211259138794297245007442786322594410737558694288228071792107072248790299828640538720776084278326199636955123467452167536705611
  ( 136 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=217268134271750274716736715143719 (pp33)
 r2=21717050344389871464856176217536012976372677149540834313494789291293540788172416316018723197631883531069 (pp104)
Version: GGNFS-0.77.1-20050930-k8
Total time: 25.48 hours.
Scaled time: 23.11 units (timescale=0.907).
Factorization parameters were as follows:
n: 4718423010211259138794297245007442786322594410737558694288228071792107072248790299828640538720776084278326199636955123467452167536705611
m: 2000000000000000000000000000000
c5: 250
c0: -17
skew: 1
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2500001)
Primes: RFBsize:176302, AFBsize:176403, largePrimes:5745221 encountered
Relations: rels:5725835, finalFF:503365
Max relations in full relation-set: 28
Initial matrix: 352771 x 503365 with sparse part having weight 49566596.
Pruned matrix : 300196 x 302023 with weight 28750459.
Total sieving time: 24.47 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.87 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 25.48 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1297k data, 196k init)
Calibrating delay using timer specific routine.. 4671.63 BogoMIPS (lpj=2335816)
Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334236)
Total of 2 processors activated (9340.10 BogoMIPS).

Core 2 Duo E6300@2.33GHz

7021334405111451284773810267558820786260767541456693560430651188383846152038010497285522913076210696457218391825255377332403575955933783<136>

5289913621585527848874348853313<31>
1327306059679471772390175491604367168135356343238374722780556040926974678339394316436973392646103133527191<106>

GMP-ECM 5.0 [powered by GMP 4.1.2] [ECM]
Input number is 7021334405111451284773810267558820786260767541456693560430651188383846152038010497285522913076210696457218391825255377332403575955933783 (136 digits)
Using B1=297500, B2=149229798, polynomial Dickson(3), sigma=3029051197
Step 1 took 5470ms
Step 2 took 4000ms
********** Factor found in step 2: 5289913621585527848874348853313
Found probable prime factor of 31 digits: 5289913621585527848874348853313
Probable prime cofactor 1327306059679471772390175491604367168135356343238374722780556040926974678339394316436973392646103133527191 has 106 digits

1269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841<157>

8739994595235952825155053837<28>

145290852986733231960131889761460491703794538807068334652232282714626655166495302127159129035785015114582751752183571455452299093<129>

B1=50000
pp28=8739994595235952825155053837
c129=145290852986733231960131889761460491703794538807068334652232282714626655166495302127159129035785015114582751752183571455452299093

GMP-ECM 6.1.1

Athlon64 3700+

145290852986733231960131889761460491703794538807068334652232282714626655166495302127159129035785015114582751752183571455452299093<129>

1097338309267008237239239772614316948193823367920986887082646889<64>
132402971590214069443001363228800248580081550757875671603997677837<66>

Number: n
N=145290852986733231960131889761460491703794538807068334652232282714626655166495302127159129035785015114582751752183571455452299093
  ( 129 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=1097338309267008237239239772614316948193823367920986887082646889 (pp64)
 r2=132402971590214069443001363228800248580081550757875671603997677837 (pp66)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 33.76 hours.
Scaled time: 46.21 units (timescale=1.369).
Factorization parameters were as follows:
name: KA_8_156_7
n: 145290852986733231960131889761460491703794538807068334652232282714626655166495302127159129035785015114582751752183571455452299093
skew: 0.93
deg: 5
c5: 25
c0: -17
m: 20000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1400001)
Primes: RFBsize:250150, AFBsize:250611, largePrimes:7095641 encountered
Relations: rels:6625206, finalFF:569684
Max relations in full relation-set: 28
Initial matrix: 500825 x 569684 with sparse part having weight 34217548.
Pruned matrix : 439147 x 441715 with weight 21728785.
Total sieving time: 30.25 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.08 hours.
Total square root time: 0.22 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 33.76 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

3786682370642793460441992233699759761247607307411975413165317553691947475895090384189590618511490509963186182014264349114253796254077<133>

31689588497279916590736503849012575753313<41>
119492948637304780639682337876688171145045603197808488844094715899024113564434226339292816029<93>

Number: 88887_159
N=3786682370642793460441992233699759761247607307411975413165317553691947475895090384189590618511490509963186182014264349114253796254077
  ( 133 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=31689588497279916590736503849012575753313 (pp41)
 r2=119492948637304780639682337876688171145045603197808488844094715899024113564434226339292816029 (pp93)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 31.11 hours.
Scaled time: 66.71 units (timescale=2.144).
Factorization parameters were as follows:
n: 3786682370642793460441992233699759761247607307411975413165317553691947475895090384189590618511490509963186182014264349114253796254077
m: 100000000000000000000000000000000
c5: 4
c0: -85
skew: 1.84
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3800001)
Primes: RFBsize:283146, AFBsize:283447, largePrimes:5649191 encountered
Relations: rels:5661375, finalFF:639116
Max relations in full relation-set: 28
Initial matrix: 566657 x 639116 with sparse part having weight 40954229.
Pruned matrix : 512428 x 515325 with weight 29660434.
Total sieving time: 29.57 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.40 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 31.11 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.09 BogoMIPS).

Core 2 Quad Q6600

1281866828810001842843799767978899318317641440665132496399276136211105136009355320490021155449442619466663603004945810762262269985221197097295887503623477<154>

968995160047131185467992972361627<33>
1322882591846643298048151628358822882762642650753662322011497085867674561864363575653354158395684834292581003964206621551<121>

GMP-ECM 5.0 [powered by GMP 4.1.2] [ECM]
Input number is 1281866828810001842843799767978899318317641440665132496399276136211105136009355320490021155449442619466663603004945810762262269985221197097295887503623477 (154 digits)
Using B1=367500, B2=201656682, polynomial Dickson(3), sigma=1441197155
Step 1 took 7270ms
Step 2 took 5130ms
********** Factor found in step 2: 968995160047131185467992972361627
Found probable prime factor of 33 digits: 968995160047131185467992972361627
Probable prime cofactor 1322882591846643298048151628358822882762642650753662322011497085867674561864363575653354158395684834292581003964206621551 has 121 digits

4022513232813524398211303045208836597289264340939797746512434565865799965289774544812734306459747688749162392566060216989979878271103883598312223964179673<154>

122357220642452584209664973630349681033155453532931520441153082441941<69>
32875160220972597758764681161227086029639996457194993224995199129738972707239023844853<86>

Number: n
N=4022513232813524398211303045208836597289264340939797746512434565865799965289774544812734306459747688749162392566060216989979878271103883598312223964179673
  ( 154 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=122357220642452584209664973630349681033155453532931520441153082441941 (pp69)
 r2=32875160220972597758764681161227086029639996457194993224995199129738972707239023844853 (pp86)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 65.65 hours.
Scaled time: 86.53 units (timescale=1.318).
Factorization parameters were as follows:
name: KA_8_163_7
n: 4022513232813524398211303045208836597289264340939797746512434565865799965289774544812734306459747688749162392566060216989979878271103883598312223964179673
skew: 1.84
deg: 5
c5: 4
c0: -85
m: 1000000000000000000000000000000000
type: snfs
rlim: 4000000
alim: 4000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2700000)
Primes: RFBsize:283146, AFBsize:283447, largePrimes:7572788 encountered
Relations: rels:7122775, finalFF:638638
Max relations in full relation-set: 28
Initial matrix: 566657 x 638638 with sparse part having weight 44039280.
Pruned matrix : 507869 x 510766 with weight 29149793.
Total sieving time: 58.05 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 7.07 hours.
Total square root time: 0.27 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,28,28,48,48,2.5,2.5,100000
total time: 65.65 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

50506934616136415935843561049693625556333748396335605460694060476156487194805444148998341274015922044722310350287118947637378538551902329078855310373<149>

38584081030692973979026508694832853174717<41>
418114217260780904751406897239535819468897448269121<51>
3130746579328069205359019081831876161205414051790095798089<58>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 50506934616136415935843561049693625556333748396335605460694060476156487194805444148998341274015922044722310350287118947637378538551902329078855310373 (149 digits)
Using B1=2566000, B2=3214897234, polynomial Dickson(6), sigma=1489561470
Step 1 took 41297ms
Step 2 took 21906ms
********** Factor found in step 2: 38584081030692973979026508694832853174717
Found probable prime factor of 41 digits: 38584081030692973979026508694832853174717
Composite cofactor 1309009655457622967425044640452475241525607022021852781211536044491653424923374629964185236322257748149509769 has 109 digits



Number: n
N=1309009655457622967425044640452475241525607022021852781211536044491653424923374629964185236322257748149509769
  ( 109 digits)
Divisors found:

Thu Dec 27 01:08:55 2007  prp51 factor: 418114217260780904751406897239535819468897448269121
Thu Dec 27 01:08:55 2007  prp58 factor: 3130746579328069205359019081831876161205414051790095798089
Thu Dec 27 01:08:55 2007  elapsed time 00:56:09 (Msieve 1.32)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 14.81 hours.
Scaled time: 19.34 units (timescale=1.306).
Factorization parameters were as follows:
name: KA_8_165_7
n: 1309009655457622967425044640452475241525607022021852781211536044491653424923374629964185236322257748149509769
skew: 17293.45
# norm 1.67e+15
c5: 69840
c4: 7463998242
c3: -78994172254267
c2: -2236017190191479429
c1: 14571241816633004474387
c0: 2943605098409076728592987
# alpha -6.80
Y1: 379170613327
Y0: -451398307899860421580
# Murphy_E 1.27e-09
# M 913262407536112418797141648337235351640361187128809490900940893449426725706506274192425043867981484896313502
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  special-q in [100000, 1500000)
Primes: RFBsize:230209, AFBsize:230668, largePrimes:6776674 encountered
Relations: rels:6460557, finalFF:550004
Max relations in full relation-set: 28
Initial matrix: 460957 x 550004 with sparse part having weight 33437232.
Pruned matrix : 373838 x 376206 with weight 17048281.
Total sieving time: 13.36 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
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: 14.81 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

8211671151595381427523864705164672558780306507741266158811163401783484022332587360796806557728744110987465496541620078177567351443<130>

13086962130596681403157479104708270412239<41>
627469619736798457013692142254079987778839619064291230581747063260251518592308215913277437<90>

Input number is 8211671151595381427523864705164672558780306507741266158811163401783484022332587360796806557728744110987465
496541620078177567351443 (130 digits)
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=4267839254
Step 1 took 15291ms
Step 2 took 14822ms
********** Factor found in step 2: 13086962130596681403157479104708270412239
Found probable prime factor of 41 digits: 13086962130596681403157479104708270412239
Probable prime cofactor 627469619736798457013692142254079987778839619064291230581747063260251518592308215913277437 has 90
digits

GMP-ECM 6.2.1

Opteron-2.8GHz; Linux x86_64

278472144095627958404303477830500450233270533954572279956590879389779329572057961195673453008846450605156848368093161424731460512587530583201144768651<150>

7647057099881162934899256947975591<34>
288971669211010444364343532804847944865909<42>
126017877051932162637963203064793127409653634778576315963511553718382954729<75>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 278472144095627958404303477830500450233270533954572279956590879389779329572057961195673453008846450605156848368093161424731460512587530583201144768651 (150 digits)
Using B1=2550000, B2=3186372815, polynomial Dickson(6), sigma=1104068931
Step 1 took 28631ms
Step 2 took 13770ms
********** Factor found in step 2: 7647057099881162934899256947975591
Found probable prime factor of 34 digits: 7647057099881162934899256947975591
Composite cofactor 36415596282124724946851084768003952823187763054201007070477049673615397913960005932770460940694364915011993122433661 has 116 digits


Number: n
N=36415596282124724946851084768003952823187763054201007070477049673615397913960005932770460940694364915011993122433661
  ( 116 digits)
Divisors found:

Mon May 26 03:32:21 2008  prp42 factor: 288971669211010444364343532804847944865909
Mon May 26 03:32:21 2008  prp75 factor: 126017877051932162637963203064793127409653634778576315963511553718382954729
Mon May 26 03:32:21 2008  elapsed time 00:58:59 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 33.79 hours.
Scaled time: 60.41 units (timescale=1.788).
Factorization parameters were as follows:
name: KA_8_168_7
n: 36415596282124724946851084768003952823187763054201007070477049673615397913960005932770460940694364915011993122433661
skew: 32602.77
# norm 9.87e+15
c5: 51240
c4: -17444291338
c3: -204845419034853
c2: 16621713388589075462
c1: 140528977229607893092002
c0: -7240200765027653070058015
# alpha -6.04
Y1: 1095222391577
Y0: -14802594722064352791642
# Murphy_E 4.67e-10
# M 7330779924285220432966678097907383861727993586497700469151769799760136608191069016539989636153384426399706445238266
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 2139990)
Primes: RFBsize:315948, AFBsize:315812, largePrimes:6713940 encountered
Relations: rels:6667215, finalFF:756278
Max relations in full relation-set: 28
Initial matrix: 631844 x 756278 with sparse part having weight 46156257.
Pruned matrix : 
Total sieving time: 33.56 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 33.79 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

4085374382643256279685446798798261455196185672647351171116326649592819855766216889247141615858750518311869214438877986993774439985246386865646506549<148>

812262305277809501754934760781703<33>

5029624489648056247300436114909387948363823244892596172024214674079949553164223403365426542863909717715506862448483<115>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3181479570
Step 1 took 61625ms
Step 2 took 19516ms
********** Factor found in step 2: 812262305277809501754934760781703
Found probable prime factor of 33 digits: 812262305277809501754934760781703
Composite cofactor 5029624489648056247300436114909387948363823244892596172024214674079949553164223403365426542863909717715506862448483 has 115 digits

GMP-ECM 6.2.3

Dual Xeon E5335 / Windows 2003 Server SP2

5029624489648056247300436114909387948363823244892596172024214674079949553164223403365426542863909717715506862448483<115>

2611259137894710237293454858163599958892111103623<49>
1926129971804758511475517763482213919232130440459976838959776938821<67>

N=5029624489648056247300436114909387948363823244892596172024214674079949553164223403365426542863909717715506862448483
  ( 115 digits)
Divisors found:
r1=2611259137894710237293454858163599958892111103623 (pp49)
r2=1926129971804758511475517763482213919232130440459976838959776938821 (pp67)
Version: Msieve v. 1.41
Total time: 22.88 hours.
Scaled time: 45.48 units (timescale=1.988).
Factorization parameters were as follows:
name: 0
n: 5029624489648056247300436114909387948363823244892596172024214674079949553164223403365426542863909717715506862448483
skew: 36469.77
# norm 1.93e+016
c5: 170100
c4: -10736202576
c3: -1186048453213825
c2: 14042271287297154850
c1: 548613656918148741678540
c0: 1532467212163374559964486256
# alpha -7.17
Y1: 2806801040923
Y0: -7837331434948602045395
# Murphy_E 5.77e-010
# M 4373931990339949704516262703984833457081464005125254720617819565817044248881822484578247306882686022685927858970917
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 453024 x 453272
Total sieving time: 22.44 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 22.88 hours.
 --------- CPU info (if available) ----------

Msieve 1.41

1018293408515152204015286909016047335407423872967225635575442385976655873006036782436112382675529674551862570124926966567395669118771<133>

681730178728744701011924498497<30>
1493689791486146713478996194570842049379770863848290072870963693810359525801102136426038074592658672243<103>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1234632860
Step 1 took 5100ms
Step 2 took 2937ms
********** Factor found in step 2: 681730178728744701011924498497
Found probable prime factor of 30 digits: 681730178728744701011924498497
Probable prime cofactor 1493689791486146713478996194570842049379770863848290072870963693810359525801102136426038074592658672243 has 103 digits

GMP-ECM 6.2.1

242980777547373351177687343618689661744694017226704223928454077761552581456806235802376329631958218700116472535028621201012502345775531161228862668098774351693627350713079<171>

61758845631466767465271797833<29>

3934347785535229374215233762925850576083625703317757636353808208491422978557394268988530803249245868900196615196404588103179803195501264851263<142>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1165875092
Step 1 took 45750ms
Step 2 took 13265ms
********** Factor found in step 2: 61758845631466767465271797833
Found probable prime factor of 29 digits: 61758845631466767465271797833
Composite cofactor 3934347785535229374215233762925850576083625703317757636353808208491422978557394268988530803249245868900196615196404588103179803195501264851263 has 142 digits

GMP-ECM 6.2.3

Dual Xeon E5430 / Windows 2003 Server SP2

3934347785535229374215233762925850576083625703317757636353808208491422978557394268988530803249245868900196615196404588103179803195501264851263<142>

7916779374216651868975357856758142180441490911446243861621598201986511<70>
496963171456893674741828991256631165779373826631944105290067041356972433<72>

SNFS difficulty: 180 digits.
Divisors found:
 r1=7916779374216651868975357856758142180441490911446243861621598201986511 (pp70)
 r2=496963171456893674741828991256631165779373826631944105290067041356972433 (pp72)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 146.34 hours.
Scaled time: 756.29 units (timescale=5.168).
Factorization parameters were as follows:
n: 3934347785535229374215233762925850576083625703317757636353808208491422978557394268988530803249245868900196615196404588103179803195501264851263
m: 1000000000000000000000000000000000000
deg: 5
c5: 8
c0: -17
skew: 1.16
# Murphy_E = 1.403e-10
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 7400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1353213 x 1353438
Total sieving time: 145.17 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 1.07 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 146.34 hours.

GGNFS

intel i7 3930K, using 8 threads

174707678184726774804036894321974471229249840761048834047799291346784824352099687432458421084905374314137783616595736550438955116092804465325593494922080932410336072253994233<174>

3983165093026307702402046217<28>

43861520701364732252769870687031534361057141753068471924374557286056504583720673640378144134184647090935167172927062385446263634692674481022068849<146>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2914738981
Step 1 took 25105ms
Step 2 took 16411ms
********** Factor found in step 2: 3983165093026307702402046217
Found probable prime factor of 28 digits: 3983165093026307702402046217
Composite cofactor 43861520701364732252769870687031534361057141753068471924374557286056504583720673640378144134184647090935167172927062385446263634692674481022068849 has 146 digits

GMP-ECM 6.2.1

43861520701364732252769870687031534361057141753068471924374557286056504583720673640378144134184647090935167172927062385446263634692674481022068849<146>

529485616891153070746356549284108728360852653974264772894564786883<66>
82837983322182276318478242975032653959733413471052225300726817646290144261385403<80>

Wed Oct 30 23:35:35 2013  RelProcTime: 1168
Wed Oct 30 23:51:34 2013  BLanczosTime: 959
Thu Oct 31 00:05:23 2013  sqrtTime: 829
Thu Oct 31 00:05:23 2013  prp66 factor: 529485616891153070746356549284108728360852653974264772894564786883
Thu Oct 31 00:05:23 2013  prp80 factor: 82837983322182276318478242975032653959733413471052225300726817646290144261385403

Msieve v. 1.52 (SVN 923M)

87147761657989714674362138041735987224502331697591516894946054749763237601269609005696396765906823497536144773663395855858901039255872310864285952718878797589<158>

1409781315068910934903369464751<31>

61816510636424402556322751316069604684810286368811027148055645738587135263914950492193568745510518427867118128501016167399497339<128>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=109125358
Step 1 took 19337ms
Step 2 took 12585ms
********** Factor found in step 2: 1409781315068910934903369464751
Found probable prime factor of 31 digits: 1409781315068910934903369464751
Composite cofactor 61816510636424402556322751316069604684810286368811027148055645738587135263914950492193568745510518427867118128501016167399497339 has 128 digits

GMP-ECM 6.2.1

61816510636424402556322751316069604684810286368811027148055645738587135263914950492193568745510518427867118128501016167399497339<128>

301441344374770504766987131059088549278510618885984504228104341<63>
205069781534580395906648689529109408834185491337448648007758198479<66>

Number: 88887_182
N=61816510636424402556322751316069604684810286368811027148055645738587135263914950492193568745510518427867118128501016167399497339
  ( 128 digits)
Divisors found:
 r1=301441344374770504766987131059088549278510618885984504228104341 (pp63)
 r2=205069781534580395906648689529109408834185491337448648007758198479 (pp66)
Version: Msieve-1.40
Total time: 148.70 hours.
Scaled time: 483.88 units (timescale=3.254).
Factorization parameters were as follows:
name: 87779_182
# Murphy_E = 1.048601e-10, selected by Jeff Gilchrist
n: 61816510636424402556322751316069604684810286368811027148055645738587135263914950492193568745510518427867118128501016167399497339
Y0: -4447632518565105901260533
Y1: 126137962925689
c0: -8122383434596789707492715406100
c1: 144879329951276193842306928
c2: -44030319988620292887
c3: -10102513412965018
c4: -37358725208
c5: 35520
skew: 255169.49
type: gnfs
# selected mechanically
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [4250000, 8650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1265235 x 1265483
Total sieving time: 141.63 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 5.77 hours.
Time per square root: 1.13 hours.
Prototype def-par.txt line would be:
gnfs,127,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8500000,8500000,28,28,53,53,2.5,2.5,100000
total time: 148.70 hours.
 --------- CPU info (if available) ----------

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

888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<183>

1259337356542822108306204266629<31>

705838577939987753279711060237017228585936509399199518627682834424778845002336309634782236276759532406698056060483434655977248535150104022612858176741003<153>

GMP-ECM 5.0.3 [powered by GMP 4.1.2] [ECM]
Input number is 888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887 (183 digits)
Using B1=3000000, B2=4016636514, polynomial Dickson(12), sigma=422141557
Step 1 took 106012ms
Step 2 took 76630ms
********** Factor found in step 2: 1259337356542822108306204266629
Found probable prime factor of 31 digits: 1259337356542822108306204266629
Composite cofactor 705838577939987753279711060237017228585936509399199518627682834424778845002336309634782236276759532406698056060483434655977248535150104022612858176741003 has 153 digits

Pentium 4 2.4GHz

705838577939987753279711060237017228585936509399199518627682834424778845002336309634782236276759532406698056060483434655977248535150104022612858176741003<153>

1426632859447840251141360159363176337330528720720588509001718220406171469<73>
494758390896150690194136132135243010072367382814293000396461427701923625197592887<81>

sqrtTime: 1525
prp73 factor: 1426632859447840251141360159363176337330528720720588509001718220406171469
prp81 factor: 494758390896150690194136132135243010072367382814293000396461427701923625197592887
elapsed time 01:00:58

Msieve v. 1.52 (SVN 923M)

223457287440655123709028867467749774957491436831323463366155494074415705871594947725924102706296809170670908957958567556786267984562848619413670791<147>

50619217656911853939961820417680795368835541<44>
4414475327438074599009764906327631301883061657713709757997013947134971242388649040021101200416392950251<103>

Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2067281410
Step 1 took 336509ms
Step 2 took 106959ms
********** Factor found in step 2: 50619217656911853939961820417680795368835541
Found probable prime factor of 44 digits: 50619217656911853939961820417680795368835541
Probable prime cofactor

7283526756490760391088969189771379199522200644774206118344563621150997524511343637702812078636596626452494562392055857366695527641439261304716356707081135756744773386721584458410607<181>

600760122234227247339021404369<30>

12123851911813520689442426339677939520762900296076844725658595042305449072115945719786865839939239072337205062999312826980398145833769450425203032477503<152>

Step 1 took 7391ms
Step 2 took 4828ms
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 7283526756490760391088969189771379199522200644774206118344563621150997524511343637702812078636596626452494562392055857366695527641439261304716356707081135756744773386721584458410607 (181 digits)
Using B1=338000, B2=178991918, polynomial Dickson(3), sigma=583227815
Step 1 took 7438ms
Step 2 took 4797ms
********** Factor found in step 2: 600760122234227247339021404369
Found probable prime factor of 30 digits: 600760122234227247339021404369
Composite cofactor 12123851911813520689442426339677939520762900296076844725658595042305449072115945719786865839939239072337205062999312826980398145833769450425203032477503 has 152 digits

12123851911813520689442426339677939520762900296076844725658595042305449072115945719786865839939239072337205062999312826980398145833769450425203032477503<152>

3064396278824864704453221938558760266788976239<46>
2068999825167536250079312154581792851089121116323<49>
1912208492840357290420849493550726386987869589952298531099<58>

Number: n
N=12123851911813520689442426339677939520762900296076844725658595042305449072115945719786865839939239072337205062999312826980398145833769450425203032477503
  ( 152 digits)
SNFS difficulty: 187 digits.
Divisors found:

Thu Oct 09 10:20:58 2008  prp46 factor: 3064396278824864704453221938558760266788976239
Thu Oct 09 10:20:58 2008  prp49 factor: 2068999825167536250079312154581792851089121116323
Thu Oct 09 10:20:58 2008  prp58 factor: 1912208492840357290420849493550726386987869589952298531099
Thu Oct 09 10:20:58 2008  elapsed time 12:57:42 (Msieve 1.38)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 60.70 hours.
Scaled time: 79.28 units (timescale=1.306).
Factorization parameters were as follows:
name: KA_8_185_7
n: 12123851911813520689442426339677939520762900296076844725658595042305449072115945719786865839939239072337205062999312826980398145833769450425203032477503
type: snfs
skew: 1.47
deg: 5
c5: 5
c0: -34
m: 20000000000000000000000000000000000000
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 5600001)
Primes: RFBsize:602489, AFBsize:602555, largePrimes:14506280 encountered
Relations: rels:14387661, finalFF:1299453
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 60.15 hours.
Total relation processing time: 0.55 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,52,52,2.5,2.5,100000
total time: 60.70 hours.
 --------- CPU info (if available) ----------

6142264377647497361908004971037521981398660626130924780814782360903214742805340725428851333401010112946404886035081166657138668591874633763<139>

34047368490634631250060767139042367853769763<44>
180403498124591997341109632745384319378087865167964618294734232862273068315747888730107622528001<96>

Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=234464533
Step 1 took 361527ms
Step 2 took 117642ms
********** Factor found in step 2: 34047368490634631250060767139042367853769763
Found probable prime factor of 44 digits: 34047368490634631250060767139042367853769763
Probable prime cofactor

18673591032721872614865764788273238082692249771900702522466465045724144615537765333218669641484187292291559293912124576745608188988958821550329802037267881253192928325930749893371<179>

6019407256354069104791010847568032323199140607<46>
3102230873814042614185165108955292059637141593197931885525285960498073405960656066426498126922235344599234860068126093363261949211653<133>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2721071736
Step 1 took 199406ms
Step 2 took 84469ms
********** Factor found in step 2: 6019407256354069104791010847568032323199140607
Found probable prime factor of 46 digits: 6019407256354069104791010847568032323199140607
Probable prime cofactor 3102230873814042614185165108955292059637141593197931885525285960498073405960656066426498126922235344599234860068126093363261949211653 has 133 digits

GMP-ECM 6.2.3

569520063071972663553573393708398815580891301895053150372501613933093083168763005952858951122953788446830620163284436565071308569254897735261<141>

14398609584180833900247513721657170281<38>
36554079609230261873474063511428053650706667<44>
1082063178383815906529991228958859047337814352846120124967743<61>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4009209216
Step 1 took 132067ms
Step 2 took 40818ms
********** Factor found in step 2: 14398609584180833900247513721657170281
Found probable prime factor of 38 digits: 14398609584180833900247513721657170281
Composite cofactor 39553823564858732499169759562890300681279711402779510781239270781830122380095846871439280693762530042581 has 104 digits

Divisors found:
 r1=36554079609230261873474063511428053650706667 (pp44)
 r2=1082063178383815906529991228958859047337814352846120124967743 (pp61)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 4.50 hours.
Scaled time: 10.81 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  39553823564858732499169759562890300681279711402779510781239270781830122380095846871439280693762530042581
skew:  14622151.83
Y0:  -24600363968176485729726798
Y1:  13859653345679
c0:  -1226673878758471114151303368343
c1:  -268162913580776496872916
c2:  -8730945191723335
c3:  -624159354
c4:  108
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1437500, 2237501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 340791 x 341019
Total sieving time: 4.16 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,103,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 4.50 hours.

10987573522470345832914172724096124090099275166869695646384612392266122203066345593029749221280548387708493312994980885298479798456366884801831814153809924577434593185825871763841367<182>

683747218032951351933628310985183393559<39>

16069642746160071951236480022962146536447182241113139024810529889920878827145015143755825317781253484886691937316769379265199883932836344958913<143>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2507459626
Step 1 took 213781ms
Step 2 took 82469ms
********** Factor found in step 2: 683747218032951351933628310985183393559
Found probable prime factor of 39 digits: 683747218032951351933628310985183393559
Composite cofactor 16069642746160071951236480022962146536447182241113139024810529889920878827145015143755825317781253484886691937316769379265199883932836344958913 has 143 digits

GMP-ECM 6.2.3

16069642746160071951236480022962146536447182241113139024810529889920878827145015143755825317781253484886691937316769379265199883932836344958913<143>

604704365937096354751999399538154277474458778958538462539<57>
26574378574656590512830439912694202026854427288160812975585727328977014164205641999267<86>

sqrtTime: 697
prp57 factor: 604704365937096354751999399538154277474458778958538462539
prp86 factor: 26574378574656590512830439912694202026854427288160812975585727328977014164205641999267
elapsed time 01:15:37

Msieve v. 1.52 (SVN 923M)

17944639951298575554720565319584568359245134454969861610876900899193470474258331541357964664317728173306872305970825015637430142902874171617631051010262520579097785529<167>

122763886401873301220354203087<30>

146171976769747747349388334776423064471607044898176691920488992333574187962280014690489994846698316344610133907207472343085837277045010167<138>

Input number is 17944639951298575554720565319584568359245134454969861610876900899193470474258331541357964664317728173306872305970825015637430142902874171617631051010262520579097785529 (167 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2642279068
Step 1 took 6444ms
Step 2 took 4004ms
********** Factor found in step 2: 122763886401873301220354203087
Found probable prime factor of 30 digits: 122763886401873301220354203087
Composite cofactor 146171976769747747349388334776423064471607044898176691920488992333574187962280014690489994846698316344610133907207472343085837277045010167 has 138 digits

GMP-ECM 6.2.1

146171976769747747349388334776423064471607044898176691920488992333574187962280014690489994846698316344610133907207472343085837277045010167<138>

2610497676873097157112804204281817187081166771<46>
55993911837085129858129133251488898245384553034094512580180880972872053460693630506225512877<92>

Number: 88887_198
N = 146171976769747747349388334776423064471607044898176691920488992333574187962280014690489994846698316344610133907207472343085837277045010167 (138 digits)
Divisors found:
r1=2610497676873097157112804204281817187081166771 (pp46)
r2=55993911837085129858129133251488898245384553034094512580180880972872053460693630506225512877 (pp92)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 303.72 hours.
Factorization parameters were as follows:
# Murphy_E = 2.872651e-11, selected by Jeff Gilchrist
n: 146171976769747747349388334776423064471607044898176691920488992333574187962280014690489994846698316344610133907207472343085837277045010167
Y0: -280498990387771382082764511
Y1: 2231100036308239
c0: -35230007717335944522081291396290
c1: -397404970165680737245927553
c2: 6560922738801171369066
c3: 4012194026297967
c4: -32003471249
c5: 84180
skew: 266754.77
type: gnfs
# selected mechanically
rlim: 16000000
alim: 16000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [8000000, 21200000)
Relations: 23320680
Relations in full relation-set: 3935696 relations
Pruned matrix : 2421984 x 2422210
Polynomial selection time: 0.00 hours.
Total sieving time: 298.05 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 5.04 hours.
time per square root: 0.51 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,16000000,16000000,28,28,55,55,2.6,2.6,100000
total time: 303.72 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841<199>

165915290595704680698485074656900719922152047067184299154427<60>
209149051828140486987606736849824369901235273907179420942848736473<66>
36593767584410672419943796220646382293763887819649513105939916736712122971<74>

Number: 88887_199
N=1269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841
  ( 199 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=165915290595704680698485074656900719922152047067184299154427
 r2=209149051828140486987606736849824369901235273907179420942848736473
 r3=36593767584410672419943796220646382293763887819649513105939916736712122971
Version: 
Total time: 755.47 hours.
Scaled time: 1492.80 units (timescale=1.976).
Factorization parameters were as follows:
n: 1269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841
m: 10000000000000000000000000000000000000000
deg: 5
c5: 4
c0: -85
skew: 1.84
type: snfs
lss: 1
rlim: 15400000
alim: 15400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15400000/15400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7700000, 15500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2674720 x 2674968
Total sieving time: 755.47 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15400000,15400000,29,29,56,56,2.6,2.6,100000
total time: 755.47 hours.
 --------- CPU info (if available) ----------

800043690657764064527611167061282693490463493172827611311801436902487718446235258712742070697911069669342022421212382551885329066971043495175884495668800758266370990543067900088002754089<186>

5415585624943200867541380253769673475019<40>
7170325589210563409589033504566091903724904737621279<52>
20602949656019968039280806543750251132154860289918996865370753959428949970583232239157572856389<95>

N=800043690657764064527611167061282693490463493172827611311801436902487718446235258712742070697911069669342022421212382551885329066971043495175884495668800758266370990543067900088002754089
  ( 186 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=5415585624943200867541380253769673475019 (pp40)
 r2=7170325589210563409589033504566091903724904737621279 (pp52)
 r3=20602949656019968039280806543750251132154860289918996865370753959428949970583232239157572856389 (pp95)
Version: Msieve v. 1.50
Total time:
Scaled time: 106.54 units (timescale=1.390).
Factorization parameters were as follows:
n: 800043690657764064527611167061282693490463493172827611311801436902487718446235258712742070697911069669342022421212382551885329066971043495175884495668800758266370990543067900088002754089
m: 10000000000000000000000000000000000000000
deg: 5
c5: 8
c0: -17
skew: 1.16
type: snfs
lss: 1
rlim: 15600000
alim: 15600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 15600000/15600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7800000, 15160001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2735818 x 2736046
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,200.000,5,0,0,0,0,0,0,0,0,15600000,15600000,29,29,56,56,2.6,2.6,100000
total time:
 --------- CPU info (if available) ----------

42127435492364402317008952080042127435492364402317008952080042127435492364402317008952080042127435492364402317008952080042127435492364402317008952080042127435492364402317008952080042127435492364402317<200>

184846714073086138866053812207662631183662194449<48>
271724959591002491163113362827636488571006409979<48>
838733046300609008051475260234179016928734325037778069179641176385664623882321036787775783027640381941927<105>

Number: n
N=42127435492364402317008952080042127435492364402317008952080042127435492364402317008952080042127435492364402317008952080042127435492364402317008952080042127435492364402317008952080042127435492364402317
  ( 200 digits)
SNFS difficulty: 202 digits.
Divisors found:

Thu Dec 12 19:52:14 2013  prp48 factor: 184846714073086138866053812207662631183662194449
Thu Dec 12 19:52:14 2013  prp48 factor: 271724959591002491163113362827636488571006409979
Thu Dec 12 19:52:14 2013  prp105 factor: 838733046300609008051475260234179016928734325037778069179641176385664623882321036787775783027640381941927
Thu Dec 12 19:52:14 2013  elapsed time 09:14:14 (Msieve 1.44 - dependency 5)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.828).
Factorization parameters were as follows:
#
#  8*10^202-17 - 8(201)7
#
#  c200, diff: 202.9
#
skew: 0.926
n: 42127435492364402317008952080042127435492364402317008952080042127435492364402317008952080042127435492364402317008952080042127435492364402317008952080042127435492364402317008952080042127435492364402317
m: 20000000000000000000000000000000000000000
deg: 5
c5: 25
c0: -17
# Murphy_E = 1.116e-11
type: snfs
lss: 1
rlim: 16900000
alim: 16900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16900000/16900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 20450000)
Primes: RFBsize:1085243, AFBsize:1086205,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8240333 hash collisions in 57486226 relations (51382266 unique)
Msieve: matrix is 2216927 x 2217152 (625.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 6hrs 45min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 49min 30sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16900000,16900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

97001950541533268235348575397992403907963220884480568800192788563644731666152976468494823360987363570574499480553887961679375558489260722294815875080084916462973271057115916261086870220606209497<194>

38261460899220244858811805599847538840411<41>

2535239069857631440680594594022448175898450471265092342285983846883001431815726056640441040747547921200938179153906971390740298293328727865958638719614427<154>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3829365897
Step 1 took 119519ms
Step 2 took 37257ms
********** Factor found in step 2: 38261460899220244858811805599847538840411
Found probable prime factor of 41 digits: 38261460899220244858811805599847538840411

2535239069857631440680594594022448175898450471265092342285983846883001431815726056640441040747547921200938179153906971390740298293328727865958638719614427<154>

1111405251009407141326167886420504916345725164079<49>
2281111293612353739330016476345771942943541462018217185146060496340800552708202835699450095026293281646613<106>

#
# N = 8x10^203-17 = 8(202)7
#
n: 2535239069857631440680594594022448175898450471265092342285983846883001431815726056640441040747547921200938179153906971390740298293328727865958638719614427
m: 20000000000000000000000000000000000000000
deg: 5
c5: 250
c0: -17
skew: 0.58
# Murphy_E = 9.155e-12
type: snfs
lss: 1
rlim: 17500000
alim: 17500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2535239069857631440680594594022448175898450471265092342285983846883001431815726056640441040747547921200938179153906971390740298293328727865958638719614427 (154 digits)
Using B1=40240000, B2=192393771586, polynomial Dickson(12), sigma=1:122410606
Step 1 took 77010ms
Step 2 took 26988ms
********** Factor found in step 2: 1111405251009407141326167886420504916345725164079
Found prime factor of 49 digits: 1111405251009407141326167886420504916345725164079
Prime cofactor 2281111293612353739330016476345771942943541462018217185146060496340800552708202835699450095026293281646613 has 106 digits

10447019445777103503072720090043100407540438372871088835635614956051959435113087863047377241099974135204111795994088889016213907618740039803544130758474959463598619<164>

26740675465908883364895424712694067593798484059203<50>
390678966172555577578561438600364038432800972678019528076407806178088492158583281332945555855745678369091286585673<114>

Number: n
N=10447019445777103503072720090043100407540438372871088835635614956051959435113087863047377241099974135204111795994088889016213907618740039803544130758474959463598619  ( 164 digits)
SNFS difficulty: 205 digits.
Divisors found:

Fri Nov  3 19:36:44 2023  prp50 factor: 26740675465908883364895424712694067593798484059203
Fri Nov  3 19:36:44 2023  prp114 factor: 390678966172555577578561438600364038432800972678019528076407806178088492158583281332945555855745678369091286585673
Fri Nov  3 19:36:44 2023  elapsed time 02:58:55 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.102).
Factorization parameters were as follows:
#
# N = 8x10^204-17 = 8(203)7
#
n: 10447019445777103503072720090043100407540438372871088835635614956051959435113087863047377241099974135204111795994088889016213907618740039803544130758474959463598619
m: 100000000000000000000000000000000000000000
deg: 5
c5: 4
c0: -85
skew: 1.84
# Murphy_E = 8.852e-12
type: snfs
lss: 1
rlim: 18700000
alim: 18700000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18700000/18700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3390212 hash collisions in 19280547 relations (16294677 unique)
Msieve: matrix is 2362928 x 2363153 (666.3 MB)

Sieving start time: 2023/11/02 21:36:52
Sieving end time  : 2023/11/03 16:37:25

Total sieving time: 19hrs 0min 33secs.

Total relation processing time: 2hrs 46min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 11sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18700000,18700000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

812727729946781373856835202506857106253462610378758910702837799722523723839557300468511659555572666898681011925988295891078491964488069251606695481360755797051240260717252433588940653<183>

5501825041632702550249578229435398656296142265679339669<55>
147719660984639218306587886063774355984953782848011565911066272534096573910704979336998394296288882868281710707236892074893174137<129>

Number: n
N=812727729946781373856835202506857106253462610378758910702837799722523723839557300468511659555572666898681011925988295891078491964488069251606695481360755797051240260717252433588940653  ( 183 digits)
SNFS difficulty: 205 digits.
Divisors found:

Mon Oct 25 13:49:26 2021  p55 factor: 5501825041632702550249578229435398656296142265679339669
Mon Oct 25 13:49:26 2021  p129 factor: 147719660984639218306587886063774355984953782848011565911066272534096573910704979336998394296288882868281710707236892074893174137
Mon Oct 25 13:49:26 2021  elapsed time 01:41:14 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 8z10^205-17 = 8(204)7
#
n: 812727729946781373856835202506857106253462610378758910702837799722523723839557300468511659555572666898681011925988295891078491964488069251606695481360755797051240260717252433588940653
m: 100000000000000000000000000000000000000000
deg: 5
c5: 8
c0: -17
skew: 1.16
# Murphy_E = 1.153e-11
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 29450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9084310 hash collisions in 65232430 relations (58903462 unique)
Msieve: matrix is 2069865 x 2070098 (713.4 MB)

Sieving start time : 2021/10/25 01:35:47
Sieving end time  : 2021/10/25 12:07:02

Total sieving time: 10hrs 31min 15secs.

Total relation processing time: 1hrs 22min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 12sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18900000,18900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

294422192431895076329494728458892613404211433189551915300055592754853900990748911352235336859797129271162312538616381290827076283340904180482434169338154499826622014333427<171>

2190080208563611264204921085078717447<37>

134434433625147995146556072944004311110826381444930176633661655760991034848144339601969944939401501112911625717741917562093613136572341<135>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 294422192431895076329494728458892613404211433189551915300055592754853900990748911352235336859797129271162312538616381290827076283340904180482434169338154499826622014333427 (171 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2242179722
Step 1 took 3900ms
Step 2 took 2293ms
********** Factor found in step 2: 2190080208563611264204921085078717447
Found probable prime factor of 37 digits: 2190080208563611264204921085078717447
Composite cofactor 134434433625147995146556072944004311110826381444930176633661655760991034848144339601969944939401501112911625717741917562093613136572341 has 135 digits

134434433625147995146556072944004311110826381444930176633661655760991034848144339601969944939401501112911625717741917562093613136572341<135>

87523599647604748279129584756459742634269635281361825405743<59>
1535979257782127247173613892579325477527640753290390118556984191940282128987<76>

N=134434433625147995146556072944004311110826381444930176633661655760991034848144339601969944939401501112911625717741917562093613136572341
  ( 135 digits)
Divisors found:
 r1=87523599647604748279129584756459742634269635281361825405743 (pp59)
 r2=1535979257782127247173613892579325477527640753290390118556984191940282128987 (pp76)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 217.05 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 134434433625147995146556072944004311110826381444930176633661655760991034848144339601969944939401501112911625717741917562093613136572341
Y0: -57710282891885057051845071
Y1: 70235668449289
c0: 16526936492213319429303275224480
c1: -523601483199026091415985904
c2: 478384783840815002938
c3: 12384098565948225
c4: 156945348664
c5: 210012
skew: 203798.58
type: gnfs
# selected mechanically
rlim: 12700000
alim: 12700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
qintsize: 600000
type: gnfs
Factor base limits: 12700000/12700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [6350000, 14750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1690047 x 1690281
Total sieving time: 213.70 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 2.77 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
gnfs,134,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,12700000,12700000,28,28,54,54,2.6,2.6,100000
total time: 217.05 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

9705341144389277435052649398965119887676654441225438651890296340467091564287680107498818789692681108951970077260040763348325684826073037944941200781752513380065075872469617972918661588618604497<193>

1786148193018293125698611372045699455391221835391392578823207197634922037873580738231<85>
5433670723585855685772445160839160356007028078877419586228899679467816432980651968714534683336862366968706487<109>

Number: n
N=9705341144389277435052649398965119887676654441225438651890296340467091564287680107498818789692681108951970077260040763348325684826073037944941200781752513380065075872469617972918661588618604497
  ( 193 digits)
SNFS difficulty: 208 digits.
Divisors found:

Fri Jul  2 12:55:45 2021  p85 factor: 1786148193018293125698611372045699455391221835391392578823207197634922037873580738231
Fri Jul  2 12:55:45 2021  p109 factor: 5433670723585855685772445160839160356007028078877419586228899679467816432980651968714534683336862366968706487
Fri Jul  2 12:55:45 2021  elapsed time 04:39:35 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 8x10^208-17 = 8(207)7
#
n: 9705341144389277435052649398965119887676654441225438651890296340467091564287680107498818789692681108951970077260040763348325684826073037944941200781752513380065075872469617972918661588618604497
m: 200000000000000000000000000000000000000000
deg: 5
c5: 250
c0: -17
skew: 0.58
# Murphy_E = 5.626e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 44900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6138418 hash collisions in 47442789 relations (43056230 unique)
Msieve: matrix is 3353413 x 3353640 (1180.9 MB)

Sieving start time : 2021/07/01 16:05:38
Sieving end time  : 2021/07/02 08:14:17

Total sieving time: 16hrs 8min 39secs.

Total relation processing time: 4hrs 20min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 16sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117292] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153499] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.03 BogoMIPS (lpj=12798064)
[    0.152047] smpboot: Total of 16 processors activated (102384.51 BogoMIPS)

8095551552102924251856939906002348539744143938582774327909081046317251125516942709289462244184239250344640278872321646220693458267123106006501557690372738723976938080860251118139871357435672519679602761<202>

579425531547378205524420820568693810147959851401<48>
13971685939491554565529269282659792748052822034081195427792419562354622401325105937863964646199806126875141117938212930861499964904176040764249086797447361<155>

(8x10^209-17)/9 = 8(208)7

GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 8095551552102924251856939906002348539744143938582774327909081046317251125516942709289462244184239250344640278872321646220693458267123106006501557690372738723976938080860251118139871357435672519679602761 (202 digits)
Using B1=39450000, B2=192393080896, polynomial Dickson(12), sigma=605854831
Step 1 took 214194ms
Step 2 took 52212ms
********** Factor found in step 2: 579425531547378205524420820568693810147959851401
Found probable prime factor of 48 digits: 579425531547378205524420820568693810147959851401
Probable prime cofactor 13971685939491554565529269282659792748052822034081195427792419562354622401325105937863964646199806126875141117938212930861499964904176040764249086797447361 has 155 digits

3739532636204080953285950863353336667998729101484888010409657035142994528228266697029570675424504771790789730834377552485349763503<130>

1860196804347939225212687095291123803322484063310604742107839431<64>
2010288711099528723140505661732280691845616453755371797470346973913<67>

N=3739532636204080953285950863353336667998729101484888010409657035142994528228266697029570675424504771790789730834377552485349763503
  ( 130 digits)
Divisors found:
 r1=1860196804347939225212687095291123803322484063310604742107839431 (pp64)
 r2=2010288711099528723140505661732280691845616453755371797470346973913 (pp67)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 128.98 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
# Murphy_E = 7.656e-11, selected by Erik Branger
n: 3739532636204080953285950863353336667998729101484888010409657035142994528228266697029570675424504771790789730834377552485349763503
Y0: -27731719464517425227210527
Y1: 12901774166173
c0: -72837293018463316051462662612480
c1: 414497574177414992004662352
c2: 2243052530916783974184
c3: 1373260939222109
c4: -1704170944
c5: 228
skew: 1135315.28
type: gnfs
# selected mechanically
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
type: gnfs
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [4750000, 10350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1290231 x 1290460
Total sieving time: 126.55 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 1.59 hours.
Time per square root: 0.62 hours.
Prototype def-par.txt line would be:
gnfs,129,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,9500000,9500000,28,28,53,53,2.5,2.5,100000
total time: 128.98 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

30504802318674325677728369126596270377630514107548410804087996246862670782817043167993719645301158408407194577539231246867615086688359005747964767681595803799483879925803626386712459<182>

487672241510278220126934860202116809214104032339067547166772983549569410319245999582355974190553829774781002185637021369749149579158588746170702001422080239560029816219714635300682951<183>

234221881875323436106920552420768935288908249589701979719013053208975456218793749653835145679849646526153963581469574268194507998150837424015617740732138191885792444224737374626335875166644601<192>

51260898643021751173233622581234238797798956663123491265272872559271153312976859441215350245763136930597757854831360523487431816099576190871213406619883293331626621536166061318902708846547727772249<197>

4619542247573074309424385153108366389213<40>

11096532057900803894768790052009449041926276458512030871430928290900465713994504410139531258604928115494926491288320264306678114804255081289611086744173836973<158>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1525926306
Step 1 took 26895ms
Step 2 took 9951ms
********** Factor found in step 2: 4619542247573074309424385153108366389213
Found probable prime factor of 40 digits: 4619542247573074309424385153108366389213

60110735847301058391516205174381733092749129714887942280048449553646603889568854018951577548781421262295848255917430450582486930968011944183545066262205569444516765173510728530321737378794872467071658241132669<209>

660930067570205104479523257733257821522834396207<48>
1695219648918651349379138461962618049777105480171<49>
53650102654708410249488094783272400754851024758181190958537601649009543556718830832281744597526505245531778688377<113>

#
# N = 8x10^216-17 = 8(215)7
#
n: 60110735847301058391516205174381733092749129714887942280048449553646603889568854018951577548781421262295848255917430450582486930968011944183545066262205569444516765173510728530321737378794872467071658241132669
m: 1000000000000000000000000000000000000
deg: 6
c6: 8
c0: -17
skew: 1.13
# Murphy_E = 3.413e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6



GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 60110735847301058391516205174381733092749129714887942280048449553646603889568854018951577548781421262295848255917430450582486930968011944183545066262205569444516765173510728530321737378794872467071658241132669 (209 digits)
Using B1=100090000, B2=776268975310, polynomial Dickson(30), sigma=2055590996
Step 1 took 562065ms
Step 2 took 157569ms
********** Factor found in step 2: 1695219648918651349379138461962618049777105480171
Found probable prime factor of 49 digits: 1695219648918651349379138461962618049777105480171
Composite cofactor 35458965972724869841222810359504084008006872212224097367946500156874492793413414703715711493630797122137003967275525750658782536701783706908982841685339203786039 has 161 digits



GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 35458965972724869841222810359504084008006872212224097367946500156874492793413414703715711493630797122137003967275525750658782536701783706908982841685339203786039 (161 digits)
Using B1=700040000, B2=12714085484116, polynomial Dickson(30), sigma=1219923925
Step 1 took 2692196ms
Step 2 took 516944ms
********** Factor found in step 2: 660930067570205104479523257733257821522834396207
Found probable prime factor of 48 digits: 660930067570205104479523257733257821522834396207
Probable prime cofactor 53650102654708410249488094783272400754851024758181190958537601649009543556718830832281744597526505245531778688377 has 113 digits

43069098073687405453781145866822688440385005018134189104272680386876436362342799289004147830181162344287168137003840634693196792078402913475109809731226800509969324915407181282019908830125367405591<197>

120939183657004425817681821478295899<36>

356121951309309798402851942577531638201933181946339982816904237667972431907721852789425926797543264797012346661280121774535080303206032178819868130469428506507509<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=115155096
Step 1 took 26807ms
Step 2 took 9952ms
********** Factor found in step 2: 120939183657004425817681821478295899
Found probable prime factor of 36 digits: 120939183657004425817681821478295899

356121951309309798402851942577531638201933181946339982816904237667972431907721852789425926797543264797012346661280121774535080303206032178819868130469428506507509<162>

7698394940387454981580621148341203223<37>
46259246773767938540730189878857996586807961879806684824204948601766804649147174567307551356960089567179043303098499565680083<125>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1363761616
Step 1 took 19619ms
Step 2 took 7928ms
********** Factor found in step 2: 7698394940387454981580621148341203223
Found probable prime factor of 37 digits: 7698394940387454981580621148341203223

61474291414580112199044101283544836992727266990509572805271054557850112913136442053079680203457903245048161962414561802369200173555952870066729099248744313364906059199720568732752839221820810833<194>

375453174977772860218637699442907254181807<42>

163733577211644145256275413537853037098868598851481878579708209147960416166892854146904753621665455764228401191079647978839426920757338577446386651179519<153>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=227910747
Step 1 took 26918ms
Step 2 took 9986ms
********** Factor found in step 2: 375453174977772860218637699442907254181807
Found probable prime factor of 42 digits: 375453174977772860218637699442907254181807

163733577211644145256275413537853037098868598851481878579708209147960416166892854146904753621665455764228401191079647978839426920757338577446386651179519<153>

1465643764376831836606637465377266264691856753<46>
111714443298751405469439064988534957076034631877737964202190870790910470815941240523000890340208771531341423<108>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=391068466
Step 1 took 250587ms
********** Factor found in step 1: 1465643764376831836606637465377266264691856753
Found probable prime factor of 46 digits: 1465643764376831836606637465377266264691856753

1246731776846434093155039541914699332420498545594811769932344059697590095263648416880306999035732396449160244043442147200627297910108708589158916181786123197117<160>

23243449350950531533259586447778759<35>
53637984535864488524084325818274622003578736150048696627178745408933006748637874911191583544191733067614293496771850442556763<125>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 1246731776846434093155039541914699332420498545594811769932344059697590095263648416880306999035732396449160244043442147200627297910108708589158916181786123197117 (160 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3329082493
Step 1 took 3900ms
Step 2 took 2246ms
********** Factor found in step 2: 23243449350950531533259586447778759
Found probable prime factor of 35 digits: 23243449350950531533259586447778759
Probable prime cofactor 53637984535864488524084325818274622003578736150048696627178745408933006748637874911191583544191733067614293496771850442556763 has 125 digits

8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<220>

5638911206918027098931953177<28>
1576348440809578213966039190198615798530264636753546022195571850976584839077795994872791767470014539516146202747273684220312424743213671176739950774917145722356800094546996154598325237185665231<193>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887 (220 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=406170259
Step 1 took 5600ms
Step 2 took 3073ms
********** Factor found in step 2: 5638911206918027098931953177
Found probable prime factor of 28 digits: 5638911206918027098931953177
Probable prime cofactor 1576348440809578213966039190198615798530264636753546022195571850976584839077795994872791767470014539516146202747273684220312424743213671176739950774917145722356800094546996154598325237185665231 has 193 digits

2288855856308661169009001683721403338707223525611594000835843207974453613170721831908927596431726505464287264785311621014128301512846857865515792924718941<154>

6693628258253694596356978250447<31>
19421324169256749926076666517703033<35>
131285022726562412250021570258670183<36>
134110515804823503119630452735907693644887743304685277<54>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 2288855856308661169009001683721403338707223525611594000835843207974453613170721831908927596431726505464287264785311621014128301512846857865515792924718941 (154 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2452803808
Step 1 took 3369ms
Step 2 took 2028ms
********** Factor found in step 2: 6693628258253694596356978250447
Found probable prime factor of 31 digits: 6693628258253694596356978250447
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=665962183
Step 1 took 2949ms
Step 2 took 1794ms
********** Factor found in step 2: 19421324169256749926076666517703033
Found probable prime factor of 35 digits: 19421324169256749926076666517703033
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3326400547
Step 1 took 2091ms
Step 2 took 1450ms
********** Factor found in step 2: 131285022726562412250021570258670183
Found probable prime factor of 36 digits: 131285022726562412250021570258670183
Probable prime cofactor 134110515804823503119630452735907693644887743304685277 has 54 digits

1919006614020130473287193866321293775219794205153224586698179617492889327490862155214850002761046841515843262534622479647479127331527537717035922480924807235001489<163>

344046783977513403651411315381980342279549654369<48>
5577749025392881056998740961395596041609714698525770698134769227374981033272398147207048080037025398116773811250481<115>

Number: 88887_222
N = 1919006614020130473287193866321293775219794205153224586698179617492889327490862155214850002761046841515843262534622479647479127331527537717035922480924807235001489 (163 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=344046783977513403651411315381980342279549654369 (pp48)
r2=5577749025392881056998740961395596041609714698525770698134769227374981033272398147207048080037025398116773811250481 (pp115)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 65.08 hours.
Factorization parameters were as follows:
n: 1919006614020130473287193866321293775219794205153224586698179617492889327490862155214850002761046841515843262534622479647479127331527537717035922480924807235001489
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 800
c0: -17
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: 33173065
Relations: 8824488 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 31.06 hours.
Total relation processing time: 0.39 hours.
Pruned matrix : 7599139 x 7599364
Matrix solve time: 32.22 hours.
time per square root: 1.41 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 65.08 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

166927851274425121093986346659223750920964431422546889984673394610162990636693096007062068994367308776661238175909231302901211382182377183524278107609722708031578778835510663522450509076375104295038327<201>

2839105020468659146850694397592527119103<40>

58795940999346993351781196381381143980210532570473550308860444710825090856798368844892511922315600336178337357346241597150377263019415282838256433643462253628809<161>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=930585821
Step 1 took 26672ms
Step 2 took 9967ms
********** Factor found in step 2: 2839105020468659146850694397592527119103
Found probable prime factor of 40 digits: 2839105020468659146850694397592527119103

58795940999346993351781196381381143980210532570473550308860444710825090856798368844892511922315600336178337357346241597150377263019415282838256433643462253628809<161>

259823524181989445028209612578422635711<39>

226291830905057960152030905565684316898466929894084227052351464309222926316911877960494046718424975123248279667929918267319<123>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=930585821
Step 1 took 26672ms
Step 2 took 9967ms
********** Factor found in step 2: 2839105020468659146850694397592527119103
Found probable prime factor of 40 digits: 2839105020468659146850694397592527119103

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=508890225
Step 1 took 19658ms
********** Factor found in step 1: 259823524181989445028209612578422635711
Found probable prime factor of 39 digits: 259823524181989445028209612578422635711

226291830905057960152030905565684316898466929894084227052351464309222926316911877960494046718424975123248279667929918267319<123>

8723540069026900489258076214217653978231659419<46>
25940366997167987856269573049995572452953668244650562663671078358239495214101<77>

N=226291830905057960152030905565684316898466929894084227052351464309222926316911877960494046718424975123248279667929918267319
  ( 123 digits)
Divisors found:
 r1=8723540069026900489258076214217653978231659419 (pp46)
 r2=25940366997167987856269573049995572452953668244650562663671078358239495214101 (pp77)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 74.42 hours.
Scaled time: 78.74 units (timescale=1.058).
Factorization parameters were as follows:
n: 226291830905057960152030905565684316898466929894084227052351464309222926316911877960494046718424975123248279667929918267319
skew: 225004.17
c0: -839879726851475961317419819815
c1: -8061560382092259185945472
c2: 203181347707168145315
c3: 154018856126080
c4: -1715349460
c5: 4080
Y0: -560792087532555037933238
Y1: 2068642406747
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 200000
type: gnfs
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2650000, 5050001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 649535 x 649766
Total sieving time: 73.12 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 0.64 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
gnfs,122,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5300000,5300000,27,27,54,54,2.5,2.5,100000
total time: 74.42 hours.
 --------- CPU info (if available) ----------

3435221554677576858519897077025918467260306969191837765918992999831307081888164497962027740967627551048785332708471424611480826139996672141542032094479922599599967179599012065434465266615048604149516524637<205>

888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<225>

12885184573296242058422944793597586085380960323748957713813136757397827282147984550636983<89>
68985343891080676769874038289825978296281213065649419534605018948253721115285817355019069520500716195272122538725728251489807843503317889<137>

prp89 factor: 12885184573296242058422944793597586085380960323748957713813136757397827282147984550636983
prp137 factor: 68985343891080676769874038289825978296281213065649419534605018948253721115285817355019069520500716195272122538725728251489807843503317889

ggnfs-lasieve4I14e on the NFS@Home grid + msieve

13227169266514061650901997820180473655048570222912167781917016710211067356993784637400465045582623151070489789656483972141384144728851224140920286177467769063349750787749581321493727034760564736368935408139<206>

1573116912865716176220931642007<31>
2026930817456571548773132198507<31>
4148269708311630724209151720989645671232702829029616074572210589384391628665936971133703308104446956819788681752912155783226589512655950962755911<145>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 13227169266514061650901997820180473655048570222912167781917016710211067356993784637400465045582623151070489789656483972141384144728851224140920286177467769063349750787749581321493727034760564736368935408139 (206 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=982636662
Step 1 took 5663ms
Step 2 took 3026ms
********** Factor found in step 2: 1573116912865716176220931642007
Found probable prime factor of 31 digits: 1573116912865716176220931642007
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1763005300
Step 1 took 4446ms
Step 2 took 2496ms
********** Factor found in step 2: 2026930817456571548773132198507
Found probable prime factor of 31 digits: 2026930817456571548773132198507
Probable prime cofactor 4148269708311630724209151720989645671232702829029616074572210589384391628665936971133703308104446956819788681752912155783226589512655950962755911 has 145 digits

443066062492579824107112835102236809567200825895269973712895591620393206844289130245882330503868565377102970279011373438737805146317212753059926715818904184088276605957207645281915863164123427574669<198>

553467514907874460862954902316975291564777<42>

800527674268884358449219247982755011762659139745160958124507108647934650395782022627860894210067015571564172561123135837775813966414006322733003610775796997<156>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3703422823
Step 1 took 472128ms
********** Factor found in step 1: 553467514907874460862954902316975291564777
Found probable prime factor of 42 digits: 553467514907874460862954902316975291564777
Composite cofactor 800527674268884358449219247982755011762659139745160958124507108647934650395782022627860894210067015571564172561123135837775813966414006322733003610775796997 has 156 digits

800527674268884358449219247982755011762659139745160958124507108647934650395782022627860894210067015571564172561123135837775813966414006322733003610775796997<156>

48396246194489918916201401383386408117423171874259395749010787<62>
16541110875661823965806231012697334698956228725692424215449259336274135741804266307869542259831<95>

Sieving by NFS@home, postprocessing by Dmitry Domanov

Sun Apr 17 10:17:29 2022  
Sun Apr 17 10:17:29 2022  
Sun Apr 17 10:17:29 2022  Msieve v. 1.54 (SVN 1043M)
Sun Apr 17 10:17:29 2022  random seeds: 0f12ac27 a389100f
Sun Apr 17 10:17:29 2022  factoring 800527674268884358449219247982755011762659139745160958124507108647934650395782022627860894210067015571564172561123135837775813966414006322733003610775796997 (156 digits)
Sun Apr 17 10:17:30 2022  searching for 15-digit factors
Sun Apr 17 10:17:30 2022  commencing number field sieve (156-digit input)
Sun Apr 17 10:17:30 2022  R0: -1039153410151069198315101264651
Sun Apr 17 10:17:30 2022  R1: 2644402081520051
Sun Apr 17 10:17:30 2022  A0: 103639226563159232853364287422470001920
Sun Apr 17 10:17:30 2022  A1: 64854868404383616455919921838536
Sun Apr 17 10:17:30 2022  A2: -15935539009240242491909018
Sun Apr 17 10:17:30 2022  A3: -19996460036716049007
Sun Apr 17 10:17:30 2022  A4: 768248333356
Sun Apr 17 10:17:30 2022  A5: 660660
Sun Apr 17 10:17:30 2022  skew 1.00, size 3.706e-15, alpha -7.598, combined = 1.709e-14 rroots = 3
Sun Apr 17 10:17:30 2022  
Sun Apr 17 10:17:30 2022  commencing relation filtering
Sun Apr 17 10:17:30 2022  setting target matrix density to 110.0
Sun Apr 17 10:17:30 2022  estimated available RAM is 63624.2 MB
Sun Apr 17 10:17:30 2022  commencing duplicate removal, pass 1
Sun Apr 17 10:25:49 2022  found 2026134 hash collisions in 48052485 relations
Sun Apr 17 10:26:21 2022  commencing duplicate removal, pass 2
Sun Apr 17 10:26:37 2022  found 0 duplicates and 48052485 unique relations
Sun Apr 17 10:26:37 2022  memory use: 130.6 MB
Sun Apr 17 10:26:37 2022  reading ideals above 720000
Sun Apr 17 10:26:37 2022  commencing singleton removal, initial pass
Sun Apr 17 10:34:52 2022  memory use: 1378.0 MB
Sun Apr 17 10:34:55 2022  reading all ideals from disk
Sun Apr 17 10:34:57 2022  memory use: 1745.6 MB
Sun Apr 17 10:35:02 2022  keeping 46909311 ideals with weight <= 200, target excess is 248030
Sun Apr 17 10:35:07 2022  commencing in-memory singleton removal
Sun Apr 17 10:35:12 2022  begin with 48052485 relations and 46909311 unique ideals
Sun Apr 17 10:36:15 2022  reduce to 29950251 relations and 26906015 ideals in 14 passes
Sun Apr 17 10:36:15 2022  max relations containing the same ideal: 155
Sun Apr 17 10:36:32 2022  removing 2618119 relations and 2218119 ideals in 400000 cliques
Sun Apr 17 10:36:34 2022  commencing in-memory singleton removal
Sun Apr 17 10:36:37 2022  begin with 27332132 relations and 26906015 unique ideals
Sun Apr 17 10:37:02 2022  reduce to 27141601 relations and 24493976 ideals in 8 passes
Sun Apr 17 10:37:02 2022  max relations containing the same ideal: 145
Sun Apr 17 10:37:17 2022  removing 2009700 relations and 1609700 ideals in 400000 cliques
Sun Apr 17 10:37:19 2022  commencing in-memory singleton removal
Sun Apr 17 10:37:21 2022  begin with 25131901 relations and 24493976 unique ideals
Sun Apr 17 10:37:42 2022  reduce to 25002304 relations and 22752694 ideals in 7 passes
Sun Apr 17 10:37:42 2022  max relations containing the same ideal: 138
Sun Apr 17 10:37:54 2022  removing 1833453 relations and 1433453 ideals in 400000 cliques
Sun Apr 17 10:37:55 2022  commencing in-memory singleton removal
Sun Apr 17 10:37:57 2022  begin with 23168851 relations and 22752694 unique ideals
Sun Apr 17 10:38:17 2022  reduce to 23051719 relations and 21200317 ideals in 7 passes
Sun Apr 17 10:38:17 2022  max relations containing the same ideal: 129
Sun Apr 17 10:38:31 2022  removing 1745497 relations and 1345497 ideals in 400000 cliques
Sun Apr 17 10:38:32 2022  commencing in-memory singleton removal
Sun Apr 17 10:38:34 2022  begin with 21306222 relations and 21200317 unique ideals
Sun Apr 17 10:38:54 2022  reduce to 21190886 relations and 19737662 ideals in 7 passes
Sun Apr 17 10:38:54 2022  max relations containing the same ideal: 121
Sun Apr 17 10:39:06 2022  removing 1702921 relations and 1302921 ideals in 400000 cliques
Sun Apr 17 10:39:07 2022  commencing in-memory singleton removal
Sun Apr 17 10:39:08 2022  begin with 19487965 relations and 19737662 unique ideals
Sun Apr 17 10:39:30 2022  reduce to 19368378 relations and 18313149 ideals in 8 passes
Sun Apr 17 10:39:30 2022  max relations containing the same ideal: 114
Sun Apr 17 10:39:41 2022  removing 1684270 relations and 1284270 ideals in 400000 cliques
Sun Apr 17 10:39:42 2022  commencing in-memory singleton removal
Sun Apr 17 10:39:44 2022  begin with 17684108 relations and 18313149 unique ideals
Sun Apr 17 10:39:59 2022  reduce to 17557008 relations and 16899411 ideals in 7 passes
Sun Apr 17 10:39:59 2022  max relations containing the same ideal: 107
Sun Apr 17 10:40:09 2022  removing 1581597 relations and 1211715 ideals in 369882 cliques
Sun Apr 17 10:40:10 2022  commencing in-memory singleton removal
Sun Apr 17 10:40:11 2022  begin with 15975411 relations and 16899411 unique ideals
Sun Apr 17 10:40:25 2022  reduce to 15851666 relations and 15561604 ideals in 7 passes
Sun Apr 17 10:40:25 2022  max relations containing the same ideal: 101
Sun Apr 17 10:40:37 2022  relations with 0 large ideals: 779
Sun Apr 17 10:40:37 2022  relations with 1 large ideals: 1938
Sun Apr 17 10:40:37 2022  relations with 2 large ideals: 30897
Sun Apr 17 10:40:37 2022  relations with 3 large ideals: 243605
Sun Apr 17 10:40:37 2022  relations with 4 large ideals: 1037501
Sun Apr 17 10:40:37 2022  relations with 5 large ideals: 2641576
Sun Apr 17 10:40:37 2022  relations with 6 large ideals: 4214564
Sun Apr 17 10:40:37 2022  relations with 7+ large ideals: 7680806
Sun Apr 17 10:40:37 2022  commencing 2-way merge
Sun Apr 17 10:40:49 2022  reduce to 10219820 relation sets and 9929758 unique ideals
Sun Apr 17 10:40:49 2022  commencing full merge
Sun Apr 17 10:45:06 2022  memory use: 1207.7 MB
Sun Apr 17 10:45:07 2022  found 4496235 cycles, need 4487958
Sun Apr 17 10:45:09 2022  weight of 4487958 cycles is about 493924185 (110.06/cycle)
Sun Apr 17 10:45:09 2022  distribution of cycle lengths:
Sun Apr 17 10:45:09 2022  1 relations: 337609
Sun Apr 17 10:45:09 2022  2 relations: 341804
Sun Apr 17 10:45:09 2022  3 relations: 351857
Sun Apr 17 10:45:09 2022  4 relations: 344123
Sun Apr 17 10:45:09 2022  5 relations: 333838
Sun Apr 17 10:45:09 2022  6 relations: 320833
Sun Apr 17 10:45:09 2022  7 relations: 300033
Sun Apr 17 10:45:09 2022  8 relations: 282979
Sun Apr 17 10:45:09 2022  9 relations: 262190
Sun Apr 17 10:45:09 2022  10+ relations: 1612692
Sun Apr 17 10:45:09 2022  heaviest cycle: 28 relations
Sun Apr 17 10:45:11 2022  commencing cycle optimization
Sun Apr 17 10:45:22 2022  start with 37151634 relations
Sun Apr 17 10:46:55 2022  pruned 1557944 relations
Sun Apr 17 10:46:55 2022  memory use: 1029.3 MB
Sun Apr 17 10:46:55 2022  distribution of cycle lengths:
Sun Apr 17 10:46:55 2022  1 relations: 337609
Sun Apr 17 10:46:55 2022  2 relations: 351645
Sun Apr 17 10:46:55 2022  3 relations: 367619
Sun Apr 17 10:46:55 2022  4 relations: 358047
Sun Apr 17 10:46:55 2022  5 relations: 349007
Sun Apr 17 10:46:55 2022  6 relations: 333494
Sun Apr 17 10:46:55 2022  7 relations: 312469
Sun Apr 17 10:46:55 2022  8 relations: 292932
Sun Apr 17 10:46:55 2022  9 relations: 269914
Sun Apr 17 10:46:55 2022  10+ relations: 1515222
Sun Apr 17 10:46:55 2022  heaviest cycle: 28 relations
Sun Apr 17 10:47:06 2022  RelProcTime: 1776
Sun Apr 17 10:47:06 2022  elapsed time 00:29:37
Sun Apr 17 10:47:35 2022  
Sun Apr 17 10:47:35 2022  
Sun Apr 17 10:47:35 2022  Msieve v. 1.54 (SVN 1043M)
Sun Apr 17 10:47:35 2022  random seeds: 8e7ea9f4 e9fd2004
Sun Apr 17 10:47:35 2022  factoring 800527674268884358449219247982755011762659139745160958124507108647934650395782022627860894210067015571564172561123135837775813966414006322733003610775796997 (156 digits)
Sun Apr 17 10:47:36 2022  searching for 15-digit factors
Sun Apr 17 10:47:37 2022  commencing number field sieve (156-digit input)
Sun Apr 17 10:47:37 2022  R0: -1039153410151069198315101264651
Sun Apr 17 10:47:37 2022  R1: 2644402081520051
Sun Apr 17 10:47:37 2022  A0: 103639226563159232853364287422470001920
Sun Apr 17 10:47:37 2022  A1: 64854868404383616455919921838536
Sun Apr 17 10:47:37 2022  A2: -15935539009240242491909018
Sun Apr 17 10:47:37 2022  A3: -19996460036716049007
Sun Apr 17 10:47:37 2022  A4: 768248333356
Sun Apr 17 10:47:37 2022  A5: 660660
Sun Apr 17 10:47:37 2022  skew 1.00, size 3.706e-15, alpha -7.598, combined = 1.709e-14 rroots = 3
Sun Apr 17 10:47:37 2022  
Sun Apr 17 10:47:37 2022  commencing linear algebra
Sun Apr 17 10:47:38 2022  read 4487958 cycles
Sun Apr 17 10:47:50 2022  cycles contain 15635845 unique relations
Sun Apr 17 10:49:34 2022  read 15635845 relations
Sun Apr 17 10:50:02 2022  using 20 quadratic characters above 4294917295
Sun Apr 17 10:51:32 2022  building initial matrix
Sun Apr 17 10:55:46 2022  memory use: 2086.1 MB
Sun Apr 17 10:55:49 2022  read 4487958 cycles
Sun Apr 17 10:55:50 2022  matrix is 4487781 x 4487958 (1958.0 MB) with weight 600501352 (133.80/col)
Sun Apr 17 10:55:50 2022  sparse part has weight 459432374 (102.37/col)
Sun Apr 17 10:56:49 2022  filtering completed in 2 passes
Sun Apr 17 10:56:50 2022  matrix is 4487608 x 4487785 (1958.0 MB) with weight 600493340 (133.81/col)
Sun Apr 17 10:56:50 2022  sparse part has weight 459430198 (102.37/col)
Sun Apr 17 10:57:06 2022  matrix starts at (0, 0)
Sun Apr 17 10:57:07 2022  matrix is 4487608 x 4487785 (1958.0 MB) with weight 600493340 (133.81/col)
Sun Apr 17 10:57:07 2022  sparse part has weight 459430198 (102.37/col)
Sun Apr 17 10:57:07 2022  saving the first 48 matrix rows for later
Sun Apr 17 10:57:07 2022  matrix includes 64 packed rows
Sun Apr 17 10:57:08 2022  matrix is 4487560 x 4487785 (1899.5 MB) with weight 508768701 (113.37/col)
Sun Apr 17 10:57:08 2022  sparse part has weight 453072962 (100.96/col)
Sun Apr 17 10:57:08 2022  using block size 8192 and superblock size 3244032 for processor cache size 33792 kB
Sun Apr 17 10:57:25 2022  commencing Lanczos iteration
Sun Apr 17 10:57:25 2022  memory use: 1777.0 MB
Sun Apr 17 10:58:37 2022  linear algebra at 0.0%, ETA 57h34m
Sun Apr 17 10:58:59 2022  checkpointing every 80000 dimensions
Sun Apr 17 11:01:25 2022  lanczos halted after 81 iterations (dim = 5116)
Sun Apr 17 11:01:25 2022  BLanczosTime: 828
Sun Apr 17 11:01:25 2022  elapsed time 00:13:50

Sun Apr 17 15:33:45 2022  
Sun Apr 17 15:33:45 2022  
Sun Apr 17 15:33:45 2022  Msieve v. 1.54 (SVN unknown)
Sun Apr 17 15:33:45 2022  random seeds: d6c99395 293620ad
Sun Apr 17 15:33:45 2022  factoring 800527674268884358449219247982755011762659139745160958124507108647934650395782022627860894210067015571564172561123135837775813966414006322733003610775796997 (156 digits)
Sun Apr 17 15:33:46 2022  no P-1/P+1/ECM available, skipping
Sun Apr 17 15:33:46 2022  commencing number field sieve (156-digit input)
Sun Apr 17 15:33:46 2022  R0: -1039153410151069198315101264651
Sun Apr 17 15:33:46 2022  R1: 2644402081520051
Sun Apr 17 15:33:46 2022  A0: 103639226563159232853364287422470001920
Sun Apr 17 15:33:46 2022  A1: 64854868404383616455919921838536
Sun Apr 17 15:33:46 2022  A2: -15935539009240242491909018
Sun Apr 17 15:33:46 2022  A3: -19996460036716049007
Sun Apr 17 15:33:46 2022  A4: 768248333356
Sun Apr 17 15:33:46 2022  A5: 660660
Sun Apr 17 15:33:46 2022  skew 1.00, size 3.706e-15, alpha -7.598, combined = 1.709e-14 rroots = 3
Sun Apr 17 15:33:46 2022  
Sun Apr 17 15:33:46 2022  commencing linear algebra
Sun Apr 17 15:33:46 2022  using VBITS=128
Sun Apr 17 15:33:46 2022  skipping matrix build
Sun Apr 17 15:33:48 2022  matrix starts at (0, 0)
Sun Apr 17 15:33:49 2022  matrix is 4487608 x 4487785 (1958.0 MB) with weight 600493340 (133.81/col)
Sun Apr 17 15:33:49 2022  sparse part has weight 459430198 (102.37/col)
Sun Apr 17 15:33:49 2022  saving the first 112 matrix rows for later
Sun Apr 17 15:33:50 2022  matrix includes 128 packed rows
Sun Apr 17 15:33:51 2022  matrix is 4487496 x 4487785 (1802.3 MB) with weight 453072962 (100.96/col)
Sun Apr 17 15:33:51 2022  sparse part has weight 418605779 (93.28/col)
Sun Apr 17 15:33:51 2022  using GPU 0 (Tesla P100-PCIE-16GB)
Sun Apr 17 15:33:51 2022  selected card has CUDA arch 6.0
Sun Apr 17 15:34:28 2022  commencing Lanczos iteration
Sun Apr 17 15:34:29 2022  memory use: 3775.8 MB
Sun Apr 17 15:34:31 2022  linear algebra at 0.0%, ETA 1h37m
Sun Apr 17 15:34:32 2022  checkpointing every 2450000 dimensions
Sun Apr 17 17:09:42 2022  lanczos halted after 35270 iterations (dim = 4487496)
Sun Apr 17 17:09:50 2022  recovered 30 nontrivial dependencies
Sun Apr 17 17:09:50 2022  BLanczosTime: 5764
Sun Apr 17 17:09:50 2022  elapsed time 01:36:05

Sun Apr 17 17:16:25 2022  
Sun Apr 17 17:16:25 2022  
Sun Apr 17 17:16:25 2022  Msieve v. 1.54 (SVN 1043M)
Sun Apr 17 17:16:25 2022  random seeds: 74c8c80f 6d1e8ea8
Sun Apr 17 17:16:25 2022  factoring 800527674268884358449219247982755011762659139745160958124507108647934650395782022627860894210067015571564172561123135837775813966414006322733003610775796997 (156 digits)
Sun Apr 17 17:16:26 2022  searching for 15-digit factors
Sun Apr 17 17:16:26 2022  commencing number field sieve (156-digit input)
Sun Apr 17 17:16:26 2022  R0: -1039153410151069198315101264651
Sun Apr 17 17:16:26 2022  R1: 2644402081520051
Sun Apr 17 17:16:26 2022  A0: 103639226563159232853364287422470001920
Sun Apr 17 17:16:26 2022  A1: 64854868404383616455919921838536
Sun Apr 17 17:16:26 2022  A2: -15935539009240242491909018
Sun Apr 17 17:16:26 2022  A3: -19996460036716049007
Sun Apr 17 17:16:26 2022  A4: 768248333356
Sun Apr 17 17:16:26 2022  A5: 660660
Sun Apr 17 17:16:26 2022  skew 1.00, size 3.706e-15, alpha -7.598, combined = 1.709e-14 rroots = 3
Sun Apr 17 17:16:26 2022  
Sun Apr 17 17:16:26 2022  commencing square root phase
Sun Apr 17 17:16:26 2022  reading relations for dependency 1
Sun Apr 17 17:16:27 2022  read 2243765 cycles
Sun Apr 17 17:16:32 2022  cycles contain 7819248 unique relations
Sun Apr 17 17:17:21 2022  read 7819248 relations
Sun Apr 17 17:18:06 2022  multiplying 7819248 relations
Sun Apr 17 17:28:41 2022  multiply complete, coefficients have about 423.20 million bits
Sun Apr 17 17:28:43 2022  initial square root is modulo 39225547
Sun Apr 17 17:41:15 2022  GCD is 1, no factor found
Sun Apr 17 17:41:15 2022  reading relations for dependency 2
Sun Apr 17 17:41:15 2022  read 2244140 cycles
Sun Apr 17 17:41:21 2022  cycles contain 7820606 unique relations
Sun Apr 17 17:42:17 2022  read 7820606 relations
Sun Apr 17 17:43:04 2022  multiplying 7820606 relations
Sun Apr 17 17:53:58 2022  multiply complete, coefficients have about 423.27 million bits
Sun Apr 17 17:54:01 2022  initial square root is modulo 39337979
Sun Apr 17 18:06:21 2022  sqrtTime: 2995
Sun Apr 17 18:06:21 2022  p62 factor: 48396246194489918916201401383386408117423171874259395749010787
Sun Apr 17 18:06:21 2022  p95 factor: 16541110875661823965806231012697334698956228725692424215449259336274135741804266307869542259831
Sun Apr 17 18:06:21 2022  elapsed time 00:49:56

1289692008250189206591948295322136413293077877576303856878778403010339083651391752253255619259940394195357024988698591050449023709717750866806176355285189366084466959<166>

11404205881188527906087920597919360419815650039926638469878874196091707394753611502547281202512732865188214081373098800871663208689076108646874834126948116130421719948495560751396622322649785853973531501041<206>

96882365492165269714193870585433189198996146978570686814992646423456136828710564738381051230128441661673651502819097948444812951650563300356581622560141031029235319463747262666627737128632416836776877803696337<209>

4036606959014669272373766256472963150723<40>

24000941007101205211328083429241234803601964777501967431610650416954128337204727635317936992293034217200307669547712953542072611238713358809373350758482041666355328456219<170>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=486283005
Step 1 took 26709ms
Step 2 took 10300ms
********** Factor found in step 2: 4036606959014669272373766256472963150723
Found probable prime factor of 40 digits: 4036606959014669272373766256472963150723

8078066722676999121621801101534008580336326098936127624343016116285742644874816667902080393643361035415609782536657929573409235979180869525137291804413879291613840691864254713450591593159867435112261650574399970335359383299<223>

1298253926021644326619317419180072190781121<43>
6222254799899848411029687293254763015487768272495735123275600359518133207887832352619890780311993118724944260305538620150217868785365766645231538721278380199326273896812321916302019<181>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3932747130
Step 1 took 158643ms
Step 2 took 47139ms
********** Factor found in step 2: 1298253926021644326619317419180072190781121
Found probable prime factor of 43 digits: 1298253926021644326619317419180072190781121

29629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629<236>

21422806427384570481475732390390226479<38>

1383088146273606561925819083841452993452196465082857275570718189888388196315896563754173907587345535796454358453090415346309529243098049547230872586983925763158335013015554199214949077242984656624851<199>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 29629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629 (236 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2515362434
Step 1 took 7238ms
Step 2 took 3541ms
********** Factor found in step 2: 21422806427384570481475732390390226479
Found probable prime factor of 38 digits: 21422806427384570481475732390390226479
Composite cofactor 1383088146273606561925819083841452993452196465082857275570718189888388196315896563754173907587345535796454358453090415346309529243098049547230872586983925763158335013015554199214949077242984656624851 has 199 digits

1383088146273606561925819083841452993452196465082857275570718189888388196315896563754173907587345535796454358453090415346309529243098049547230872586983925763158335013015554199214949077242984656624851<199>

25072289059401181031884120515626524013<38>
55164015658753729319827896475656316232222541604335526158506796924279502094035096183234925700139027139862204713353394082036993786085774039381946245005495532190527<161>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1130161566
Step 1 took 26770ms
Step 2 took 9996ms
********** Factor found in step 2: 25072289059401181031884120515626524013
Found probable prime factor of 38 digits: 25072289059401181031884120515626524013

151903249185637653060095232159486293255715956604524119715645764394745561262352210251329668690996181530490247002917324587069513643642769183788747620512291571699975748333036643475080204474550201764510275745492559<210>

122415034304723579728692901637472781<36>
1240887200239719439717939971207131358751604164755321277833002716020066596322493354822511899612466933340457693030603605393082447770571835752231497291568884543229662813025896139<175>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 151903249185637653060095232159486293255715956604524119715645764394745561262352210251329668690996181530490247002917324587069513643642769183788747620512291571699975748333036643475080204474550201764510275745492559 (210 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3442529332
Step 1 took 5163ms
Step 2 took 2761ms
********** Factor found in step 2: 122415034304723579728692901637472781
Found probable prime factor of 36 digits: 122415034304723579728692901637472781
Probable prime cofactor 1240887200239719439717939971207131358751604164755321277833002716020066596322493354822511899612466933340457693030603605393082447770571835752231497291568884543229662813025896139 has 175 digits

304643345891475060160153515352915868684518674344962934242229687807594950835635089943313320001087772083955581178089571660860328185603030720973735794195471<153>

3749627037491485176566385989287697037999777169330057828398217554544736991409956561802230043410401621026961506192476184867057508465344927637336541538273012520948233480133900933320531<181>

6424963273971749647810031479573735704269966092136388840488230240519648692377994507121918507867845760671510566836483656033145874206406484159560822825135843392808989612225222055486890337985423528117845048314620566119684783489887409<229>

3072495621598959510342520043566579247<37>

2091122027580996256887312995212434908064937531666302885453288187241441999141926610128460028578179843149623867888169479164825507604429962601134655264163418661623215952526189126749983618074012447<193>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1452259233
Step 1 took 30674ms
Step 2 took 11421ms
********** Factor found in step 2: 3072495621598959510342520043566579247
Found probable prime factor of 37 digits: 3072495621598959510342520043566579247

10466135510289519473553383832437170480264793228410324842680900610960660413150699268678781218519826785457304708452712691497573164828551617672069809123853631094888601070162355927103366170833496866700681607075107604955715164122087470727527244659<242>

1066702412948419237273699208131818036898203300021749417738515041759806274165771385513551181854920814026257630329940652787435945921756113263388363702811394514779203240220049055193829841730862903938585216191205415797752361073534136223<232>

80035821323544284142752872712633779<35>

13327812413347789745396539669336994326206992389293731807339611062724225423214830070414717397379083884099553836104284716092237127363046313571022329648842949364189402568825068851961386979467812161637<197>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 1066702412948419237273699208131818036898203300021749417738515041759806274165771385513551181854920814026257630329940652787435945921756113263388363702811394514779203240220049055193829841730862903938585216191205415797752361073534136223 (232 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1709483024
Step 1 took 5803ms
Step 2 took 3230ms
********** Factor found in step 2: 80035821323544284142752872712633779
Found probable prime factor of 35 digits: 80035821323544284142752872712633779
Composite cofactor 13327812413347789745396539669336994326206992389293731807339611062724225423214830070414717397379083884099553836104284716092237127363046313571022329648842949364189402568825068851961386979467812161637 has 197 digits

13327812413347789745396539669336994326206992389293731807339611062724225423214830070414717397379083884099553836104284716092237127363046313571022329648842949364189402568825068851961386979467812161637<197>

8484427457460228478866298388384452400408309<43>

1570855839144319193632644308513913295414060838931051019046097059841894516367700389190784210706649494190526667088170916337553631802346632984130928319862193<154>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2975554765
Step 1 took 26641ms
Step 2 took 9943ms
********** Factor found in step 2: 8484427457460228478866298388384452400408309
Found probable prime factor of 43 digits: 8484427457460228478866298388384452400408309

1570855839144319193632644308513913295414060838931051019046097059841894516367700389190784210706649494190526667088170916337553631802346632984130928319862193<154>

1270460359070316500097628263413749886597741714893<49>
1236446165304852795276608496693396278965422089886148759734321930467543614024733959388034164195609396106101<106>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2427884746
Step 1 took 81844ms
********** Factor found in step 1: 1270460359070316500097628263413749886597741714893
Found prime factor of 49 digits: 1270460359070316500097628263413749886597741714893
Prime cofactor 1236446165304852795276608496693396278965422089886148759734321930467543614024733959388034164195609396106101 has 106 digits
 

GMP-ECM

1082623270064210587370446111155702441498388099217104914957599425837124389372654317797986764228888392008447502606636189883267322840912741376809244973128090673097064453514572844892841357496839<190>

118455861604067088837295392772496700603757518627395953273365511210979864791822381995439572062106018805661486087445390573809340542496553767162899605351998306638093769605403468720439471968687240828280317810989134941021793976499091829<231>

4519418278484346385443859296939104992240053670076733233860929929366921066519692740002176570437024254640169626898150313239660150308720485072167807521771103196805986073955470529775660374956033132250625839511275320912902272677559637<229>

131097040988964386752860821056122929<36>
1620573057707047387588603522763663207<37>

21272622539723297168626465266085585912993162707222651147756904938490045693982164518990488285737823800033245077811465494462027222198668392022363122571530832979<158>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 4519418278484346385443859296939104992240053670076733233860929929366921066519692740002176570437024254640169626898150313239660150308720485072167807521771103196805986073955470529775660374956033132250625839511275320912902272677559637 (229 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2317726875
Step 1 took 5694ms
Step 2 took 3105ms
********** Factor found in step 2: 131097040988964386752860821056122929
Found probable prime factor of 36 digits: 131097040988964386752860821056122929
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2475073967
Step 1 took 5335ms
Step 2 took 2886ms
********** Factor found in step 2: 1620573057707047387588603522763663207
Found probable prime factor of 37 digits: 1620573057707047387588603522763663207
Composite cofactor 21272622539723297168626465266085585912993162707222651147756904938490045693982164518990488285737823800033245077811465494462027222198668392022363122571530832979 has 158 digits

21272622539723297168626465266085585912993162707222651147756904938490045693982164518990488285737823800033245077811465494462027222198668392022363122571530832979<158>

625505937353609183908596060468569088786326961664628804032180717756371632609713<78>
34008666056350350066494166652038527739825536789588671252128593068207364995023683<80>

Sieving by NFS@home, postprocessing by Dmitry Domanov
------
Wed Oct 19 06:20:19 2022  
Wed Oct 19 06:20:19 2022  
Wed Oct 19 06:20:19 2022  Msieve v. 1.54 (SVN 1043M)
Wed Oct 19 06:20:19 2022  random seeds: b4cf333d 3cb7c6f0
Wed Oct 19 06:20:19 2022  factoring 21272622539723297168626465266085585912993162707222651147756904938490045693982164518990488285737823800033245077811465494462027222198668392022363122571530832979 (158 digits)
Wed Oct 19 06:20:20 2022  searching for 15-digit factors
Wed Oct 19 06:20:21 2022  commencing number field sieve (158-digit input)
Wed Oct 19 06:20:22 2022  R0: -2617427707043628251913424242304
Wed Oct 19 06:20:22 2022  R1: 4508200614389011
Wed Oct 19 06:20:22 2022  A0: -142347164424119834806431861856340287695
Wed Oct 19 06:20:22 2022  A1: 154412901820564206534827380711199
Wed Oct 19 06:20:22 2022  A2: 122796874193437115544747301
Wed Oct 19 06:20:22 2022  A3: -19451989259736174511
Wed Oct 19 06:20:22 2022  A4: -4611441597054
Wed Oct 19 06:20:22 2022  A5: 173160
Wed Oct 19 06:20:22 2022  skew 5229703.93, size 2.596e-15, alpha -7.492, combined = 1.992e-12 rroots = 5
Wed Oct 19 06:20:22 2022  
Wed Oct 19 06:20:22 2022  commencing relation filtering
Wed Oct 19 06:20:22 2022  setting target matrix density to 140.0
Wed Oct 19 06:20:22 2022  estimated available RAM is 63624.2 MB
Wed Oct 19 06:20:22 2022  commencing duplicate removal, pass 1
Wed Oct 19 06:39:31 2022  error -15 reading relation 102776284
Wed Oct 19 06:41:46 2022  found 5651695 hash collisions in 114061139 relations
Wed Oct 19 06:42:22 2022  added 122421 free relations
Wed Oct 19 06:42:22 2022  commencing duplicate removal, pass 2
Wed Oct 19 06:43:02 2022  found 2 duplicates and 114183558 unique relations
Wed Oct 19 06:43:02 2022  memory use: 378.4 MB
Wed Oct 19 06:43:02 2022  reading ideals above 720000
Wed Oct 19 06:43:03 2022  commencing singleton removal, initial pass
Wed Oct 19 07:05:23 2022  memory use: 2756.0 MB
Wed Oct 19 07:05:23 2022  reading all ideals from disk
Wed Oct 19 07:05:26 2022  memory use: 4233.4 MB
Wed Oct 19 07:05:44 2022  keeping 92769615 ideals with weight <= 200, target excess is 597465
Wed Oct 19 07:06:05 2022  commencing in-memory singleton removal
Wed Oct 19 07:06:19 2022  begin with 114183558 relations and 92769615 unique ideals
Wed Oct 19 07:08:32 2022  reduce to 83585549 relations and 59701451 ideals in 12 passes
Wed Oct 19 07:08:32 2022  max relations containing the same ideal: 171
Wed Oct 19 07:09:19 2022  removing 7705845 relations and 5705845 ideals in 2000000 cliques
Wed Oct 19 07:09:25 2022  commencing in-memory singleton removal
Wed Oct 19 07:09:36 2022  begin with 75879704 relations and 59701451 unique ideals
Wed Oct 19 07:10:53 2022  reduce to 75311583 relations and 53410587 ideals in 7 passes
Wed Oct 19 07:10:53 2022  max relations containing the same ideal: 160
Wed Oct 19 07:11:35 2022  removing 6147494 relations and 4147494 ideals in 2000000 cliques
Wed Oct 19 07:11:40 2022  commencing in-memory singleton removal
Wed Oct 19 07:11:47 2022  begin with 69164089 relations and 53410587 unique ideals
Wed Oct 19 07:12:56 2022  reduce to 68781145 relations and 48869867 ideals in 7 passes
Wed Oct 19 07:12:56 2022  max relations containing the same ideal: 152
Wed Oct 19 07:13:39 2022  removing 5738119 relations and 3738119 ideals in 2000000 cliques
Wed Oct 19 07:13:43 2022  commencing in-memory singleton removal
Wed Oct 19 07:13:49 2022  begin with 63043026 relations and 48869867 unique ideals
Wed Oct 19 07:14:44 2022  reduce to 62709910 relations and 44789645 ideals in 6 passes
Wed Oct 19 07:14:44 2022  max relations containing the same ideal: 144
Wed Oct 19 07:15:23 2022  removing 5524527 relations and 3524527 ideals in 2000000 cliques
Wed Oct 19 07:15:27 2022  commencing in-memory singleton removal
Wed Oct 19 07:15:33 2022  begin with 57185383 relations and 44789645 unique ideals
Wed Oct 19 07:16:26 2022  reduce to 56871948 relations and 40942755 ideals in 6 passes
Wed Oct 19 07:16:26 2022  max relations containing the same ideal: 134
Wed Oct 19 07:17:03 2022  removing 5387484 relations and 3387484 ideals in 2000000 cliques
Wed Oct 19 07:17:07 2022  commencing in-memory singleton removal
Wed Oct 19 07:17:12 2022  begin with 51484464 relations and 40942755 unique ideals
Wed Oct 19 07:17:51 2022  reduce to 51174106 relations and 37235252 ideals in 6 passes
Wed Oct 19 07:17:51 2022  max relations containing the same ideal: 128
Wed Oct 19 07:18:21 2022  removing 5296716 relations and 3296716 ideals in 2000000 cliques
Wed Oct 19 07:18:25 2022  commencing in-memory singleton removal
Wed Oct 19 07:18:29 2022  begin with 45877390 relations and 37235252 unique ideals
Wed Oct 19 07:19:00 2022  reduce to 45562654 relations and 33613191 ideals in 6 passes
Wed Oct 19 07:19:00 2022  max relations containing the same ideal: 120
Wed Oct 19 07:19:30 2022  removing 5228917 relations and 3228917 ideals in 2000000 cliques
Wed Oct 19 07:19:33 2022  commencing in-memory singleton removal
Wed Oct 19 07:19:37 2022  begin with 40333737 relations and 33613191 unique ideals
Wed Oct 19 07:20:08 2022  reduce to 40003207 relations and 30041647 ideals in 6 passes
Wed Oct 19 07:20:08 2022  max relations containing the same ideal: 109
Wed Oct 19 07:20:33 2022  removing 5186345 relations and 3186345 ideals in 2000000 cliques
Wed Oct 19 07:20:36 2022  commencing in-memory singleton removal
Wed Oct 19 07:20:40 2022  begin with 34816862 relations and 30041647 unique ideals
Wed Oct 19 07:21:04 2022  reduce to 34457727 relations and 26481454 ideals in 6 passes
Wed Oct 19 07:21:04 2022  max relations containing the same ideal: 97
Wed Oct 19 07:21:20 2022  removing 5160357 relations and 3160357 ideals in 2000000 cliques
Wed Oct 19 07:21:23 2022  commencing in-memory singleton removal
Wed Oct 19 07:21:25 2022  begin with 29297370 relations and 26481454 unique ideals
Wed Oct 19 07:21:42 2022  reduce to 28895692 relations and 22900742 ideals in 6 passes
Wed Oct 19 07:21:42 2022  max relations containing the same ideal: 88
Wed Oct 19 07:21:58 2022  removing 5145970 relations and 3145970 ideals in 2000000 cliques
Wed Oct 19 07:22:01 2022  commencing in-memory singleton removal
Wed Oct 19 07:22:03 2022  begin with 23749722 relations and 22900742 unique ideals
Wed Oct 19 07:22:25 2022  reduce to 23284325 relations and 19263533 ideals in 7 passes
Wed Oct 19 07:22:25 2022  max relations containing the same ideal: 78
Wed Oct 19 07:22:38 2022  removing 5137655 relations and 3137655 ideals in 2000000 cliques
Wed Oct 19 07:22:41 2022  commencing in-memory singleton removal
Wed Oct 19 07:22:43 2022  begin with 18146670 relations and 19263533 unique ideals
Wed Oct 19 07:22:59 2022  reduce to 17579518 relations and 15520034 ideals in 7 passes
Wed Oct 19 07:22:59 2022  max relations containing the same ideal: 67
Wed Oct 19 07:23:10 2022  removing 3691515 relations and 2325091 ideals in 1366424 cliques
Wed Oct 19 07:23:12 2022  commencing in-memory singleton removal
Wed Oct 19 07:23:13 2022  begin with 13888003 relations and 15520034 unique ideals
Wed Oct 19 07:23:27 2022  reduce to 13417997 relations and 12693514 ideals in 8 passes
Wed Oct 19 07:23:27 2022  max relations containing the same ideal: 57
Wed Oct 19 07:23:35 2022  removing 164752 relations and 133329 ideals in 31423 cliques
Wed Oct 19 07:23:36 2022  commencing in-memory singleton removal
Wed Oct 19 07:23:37 2022  begin with 13253245 relations and 12693514 unique ideals
Wed Oct 19 07:23:46 2022  reduce to 13251375 relations and 12558308 ideals in 5 passes
Wed Oct 19 07:23:46 2022  max relations containing the same ideal: 57
Wed Oct 19 07:23:49 2022  relations with 0 large ideals: 1922
Wed Oct 19 07:23:49 2022  relations with 1 large ideals: 18591
Wed Oct 19 07:23:49 2022  relations with 2 large ideals: 218823
Wed Oct 19 07:23:49 2022  relations with 3 large ideals: 1054319
Wed Oct 19 07:23:49 2022  relations with 4 large ideals: 2592403
Wed Oct 19 07:23:49 2022  relations with 5 large ideals: 3676431
Wed Oct 19 07:23:49 2022  relations with 6 large ideals: 3220337
Wed Oct 19 07:23:49 2022  relations with 7+ large ideals: 2468549
Wed Oct 19 07:23:49 2022  commencing 2-way merge
Wed Oct 19 07:23:59 2022  reduce to 9147096 relation sets and 8454029 unique ideals
Wed Oct 19 07:23:59 2022  commencing full merge
Wed Oct 19 07:28:26 2022  memory use: 1074.8 MB
Wed Oct 19 07:28:27 2022  found 3894658 cycles, need 3884229
Wed Oct 19 07:28:29 2022  weight of 3884229 cycles is about 544656151 (140.22/cycle)
Wed Oct 19 07:28:29 2022  distribution of cycle lengths:
Wed Oct 19 07:28:29 2022  1 relations: 48593
Wed Oct 19 07:28:29 2022  2 relations: 148161
Wed Oct 19 07:28:29 2022  3 relations: 207802
Wed Oct 19 07:28:29 2022  4 relations: 236258
Wed Oct 19 07:28:29 2022  5 relations: 263239
Wed Oct 19 07:28:29 2022  6 relations: 274254
Wed Oct 19 07:28:29 2022  7 relations: 277891
Wed Oct 19 07:28:29 2022  8 relations: 274719
Wed Oct 19 07:28:29 2022  9 relations: 262423
Wed Oct 19 07:28:29 2022  10+ relations: 1890889
Wed Oct 19 07:28:29 2022  heaviest cycle: 28 relations
Wed Oct 19 07:28:31 2022  commencing cycle optimization
Wed Oct 19 07:28:43 2022  start with 39934367 relations
Wed Oct 19 07:30:59 2022  pruned 2523809 relations
Wed Oct 19 07:30:59 2022  memory use: 955.4 MB
Wed Oct 19 07:30:59 2022  distribution of cycle lengths:
Wed Oct 19 07:30:59 2022  1 relations: 48593
Wed Oct 19 07:30:59 2022  2 relations: 153191
Wed Oct 19 07:30:59 2022  3 relations: 218748
Wed Oct 19 07:30:59 2022  4 relations: 250225
Wed Oct 19 07:30:59 2022  5 relations: 281954
Wed Oct 19 07:30:59 2022  6 relations: 294526
Wed Oct 19 07:30:59 2022  7 relations: 300987
Wed Oct 19 07:30:59 2022  8 relations: 295808
Wed Oct 19 07:30:59 2022  9 relations: 282461
Wed Oct 19 07:30:59 2022  10+ relations: 1757736
Wed Oct 19 07:30:59 2022  heaviest cycle: 28 relations
Wed Oct 19 07:31:08 2022  RelProcTime: 4246
Wed Oct 19 07:31:08 2022  elapsed time 01:10:49
Wed Oct 19 07:36:02 2022  
Wed Oct 19 07:36:02 2022  
Wed Oct 19 07:36:02 2022  Msieve v. 1.54 (SVN 1043M)
Wed Oct 19 07:36:02 2022  random seeds: 30190ef1 e53cf035
Wed Oct 19 07:36:02 2022  factoring 21272622539723297168626465266085585912993162707222651147756904938490045693982164518990488285737823800033245077811465494462027222198668392022363122571530832979 (158 digits)
Wed Oct 19 07:36:02 2022  searching for 15-digit factors
Wed Oct 19 07:36:03 2022  commencing number field sieve (158-digit input)
Wed Oct 19 07:36:03 2022  R0: -2617427707043628251913424242304
Wed Oct 19 07:36:03 2022  R1: 4508200614389011
Wed Oct 19 07:36:03 2022  A0: -142347164424119834806431861856340287695
Wed Oct 19 07:36:03 2022  A1: 154412901820564206534827380711199
Wed Oct 19 07:36:03 2022  A2: 122796874193437115544747301
Wed Oct 19 07:36:03 2022  A3: -19451989259736174511
Wed Oct 19 07:36:03 2022  A4: -4611441597054
Wed Oct 19 07:36:03 2022  A5: 173160
Wed Oct 19 07:36:03 2022  skew 5229703.93, size 2.596e-15, alpha -7.492, combined = 1.992e-12 rroots = 5
Wed Oct 19 07:36:03 2022  
Wed Oct 19 07:36:03 2022  commencing linear algebra
Wed Oct 19 07:36:04 2022  read 3884229 cycles
Wed Oct 19 07:36:16 2022  cycles contain 12941808 unique relations
Wed Oct 19 07:37:56 2022  read 12941808 relations
Wed Oct 19 07:38:25 2022  using 20 quadratic characters above 4294917295
Wed Oct 19 07:39:48 2022  building initial matrix
Wed Oct 19 07:44:53 2022  memory use: 1805.8 MB
Wed Oct 19 07:44:56 2022  read 3884229 cycles
Wed Oct 19 07:44:57 2022  matrix is 3884052 x 3884229 (2054.6 MB) with weight 629358635 (162.03/col)
Wed Oct 19 07:44:57 2022  sparse part has weight 491986146 (126.66/col)
Wed Oct 19 07:46:08 2022  filtering completed in 2 passes
Wed Oct 19 07:46:09 2022  matrix is 3884026 x 3884203 (2054.6 MB) with weight 629357419 (162.03/col)
Wed Oct 19 07:46:09 2022  sparse part has weight 491985886 (126.66/col)
Wed Oct 19 07:46:43 2022  matrix starts at (0, 0)
Wed Oct 19 07:46:44 2022  matrix is 3884026 x 3884203 (2054.6 MB) with weight 629357419 (162.03/col)
Wed Oct 19 07:46:44 2022  sparse part has weight 491985886 (126.66/col)
Wed Oct 19 07:46:44 2022  saving the first 48 matrix rows for later
Wed Oct 19 07:46:46 2022  matrix includes 64 packed rows
Wed Oct 19 07:46:46 2022  matrix is 3883978 x 3884203 (2007.3 MB) with weight 545962339 (140.56/col)
Wed Oct 19 07:46:46 2022  sparse part has weight 487367954 (125.47/col)
Wed Oct 19 07:46:46 2022  using block size 8192 and superblock size 3514368 for processor cache size 36608 kB
Wed Oct 19 07:47:07 2022  commencing Lanczos iteration (4 threads)
Wed Oct 19 07:47:07 2022  memory use: 1850.3 MB
Wed Oct 19 07:47:23 2022  linear algebra at 0.0%, ETA 11h24m
Wed Oct 19 07:47:31 2022  checkpointing every 310000 dimensions
Wed Oct 19 18:16:43 2022  lanczos halted after 61416 iterations (dim = 3883978)
Wed Oct 19 18:16:46 2022  recovered 30 nontrivial dependencies
Wed Oct 19 18:16:46 2022  BLanczosTime: 38443
Wed Oct 19 18:16:46 2022  
Wed Oct 19 18:16:46 2022  commencing square root phase
Wed Oct 19 18:16:46 2022  reading relations for dependency 1
Wed Oct 19 18:16:47 2022  read 1941432 cycles
Wed Oct 19 18:16:51 2022  cycles contain 6467764 unique relations
Wed Oct 19 18:17:34 2022  read 6467764 relations
Wed Oct 19 18:18:12 2022  multiplying 6467764 relations
Wed Oct 19 18:24:33 2022  multiply complete, coefficients have about 352.73 million bits
Wed Oct 19 18:24:34 2022  initial square root is modulo 2133403
Wed Oct 19 18:32:07 2022  sqrtTime: 921
Wed Oct 19 18:32:07 2022  p78 factor: 625505937353609183908596060468569088786326961664628804032180717756371632609713
Wed Oct 19 18:32:07 2022  p80 factor: 34008666056350350066494166652038527739825536789588671252128593068207364995023683
Wed Oct 19 18:32:07 2022  elapsed time 10:56:05

2521762101876922401934869841515575835408446822892189122824975406410298153562622865169345559236927701494343473427316507562690429625894645703405849843224648230531869862132257857459788051729502536859902619828893<208>

4758951917221410255794795801731141333906025607051757843515679060113658881455584454885941872222010151427411043127698366634307578236530034956107978263320554774105907298317357739951367437541328894849238217612844163759080890767056852539490660440863<244>

429972621665044779022883352680839217687<39>

11068034747869845258542869171151276642897703104334442620657313867807106543580631920542400027218660211449787633787824174723420520921433650821115108864013764794622499355236328536437336515477613050087890926649<206>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=928212899
Step 1 took 112524ms
Step 2 took 33943ms
********** Factor found in step 2: 429972621665044779022883352680839217687
Found probable prime factor of 39 digits: 429972621665044779022883352680839217687

51293285497984677195293151160869957973423576688107067655003644291759721502593455837215321383882840544954483716956136155795096481163281447674504453805597281040392994278432764181113949489180748965704559151747036801323017971506618375833635306522551<245>

1836071227060071229002231233045590987584129366281726106667132235626386778159403895841062324919209220945181939862661371507616197194662497252845114783464862677192248168893562534895988669773216336526750033199074526827953954967006522101982303<238>

458599877745975486638561045207734210622675213426946248847517792717186357712695444934607277497787197360238598627283847747575524616873495685585569226146879068769185187811931212769<177>

888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<255>

46155814327874133294538127912737606657890190058015721073<56>
4149062883703001261549054059552873568327126536970025629871383071<64>
4641635604630479510910886898556910983513332084373118220918351115013377083389956457740066104985530838354537696194496299169741109812727289<136>

Sieving by NFS@Home, filtering, linear algebra and square root by Dmitry Domanov,

Mon Oct  2 02:45:08 2023  
Mon Oct  2 02:45:08 2023  
Mon Oct  2 02:45:08 2023  Msieve v. 1.54 (SVN Unversioned directory)
Mon Oct  2 02:45:08 2023  random seeds: 29753f3e 93ebaf5f
Mon Oct  2 02:45:08 2023  Using 4 OpenMP threads
Mon Oct  2 02:45:08 2023  factoring 888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887 (255 digits)
Mon Oct  2 02:45:10 2023  searching for 15-digit factors
Mon Oct  2 02:45:12 2023  commencing number field sieve (255-digit input)
Mon Oct  2 02:45:12 2023  R0: -2000000000000000000000000000000000000000000
Mon Oct  2 02:45:12 2023  R1: 1
Mon Oct  2 02:45:12 2023  A0: -17
Mon Oct  2 02:45:12 2023  A1: 0
Mon Oct  2 02:45:12 2023  A2: 0
Mon Oct  2 02:45:12 2023  A3: 0
Mon Oct  2 02:45:12 2023  A4: 0
Mon Oct  2 02:45:12 2023  A5: 0
Mon Oct  2 02:45:12 2023  A6: 125
Mon Oct  2 02:45:12 2023  skew 1.00, size 9.402e-13, alpha 0.706, combined = 1.130e-13 rroots = 2
Mon Oct  2 02:45:12 2023  
Mon Oct  2 02:45:12 2023  commencing relation filtering
Mon Oct  2 02:45:12 2023  setting target matrix density to 124.0
Mon Oct  2 02:45:12 2023  estimated available RAM is 15729.3 MB
Mon Oct  2 02:45:12 2023  commencing duplicate removal, pass 1
Mon Oct  2 02:46:13 2023  error -1 reading relation 6664872
Mon Oct  2 02:48:48 2023  error -1 reading relation 22391047
Mon Oct  2 02:50:08 2023  error -1 reading relation 30033137
Mon Oct  2 02:53:40 2023  error -15 reading relation 47440904
Mon Oct  2 02:54:38 2023  error -11 reading relation 52409705
Mon Oct  2 02:55:17 2023  error -1 reading relation 55375005
Mon Oct  2 02:55:22 2023  error -15 reading relation 55899868
Mon Oct  2 02:56:03 2023  error -1 reading relation 59495203
Mon Oct  2 02:56:04 2023  error -1 reading relation 59618541
Mon Oct  2 02:56:20 2023  error -1 reading relation 61333345
Mon Oct  2 02:59:21 2023  error -1 reading relation 77067531
Mon Oct  2 03:00:23 2023  error -15 reading relation 82666425
Mon Oct  2 03:00:54 2023  error -1 reading relation 86139251
Mon Oct  2 03:02:30 2023  error -1 reading relation 96589347
Mon Oct  2 03:04:50 2023  error -1 reading relation 113320660
Mon Oct  2 03:05:23 2023  error -1 reading relation 116871207
Mon Oct  2 03:05:24 2023  error -1 reading relation 116970290
Mon Oct  2 03:05:32 2023  error -15 reading relation 118192599
Mon Oct  2 03:06:27 2023  error -1 reading relation 124878326
Mon Oct  2 03:08:39 2023  error -1 reading relation 140213197
Mon Oct  2 03:11:28 2023  error -15 reading relation 159420001
Mon Oct  2 03:11:39 2023  error -1 reading relation 160686377
Mon Oct  2 03:12:22 2023  error -1 reading relation 165054778
Mon Oct  2 03:12:46 2023  error -1 reading relation 168246234
Mon Oct  2 03:12:55 2023  error -1 reading relation 169482699
Mon Oct  2 03:15:57 2023  error -1 reading relation 188785620
Mon Oct  2 03:15:57 2023  error -1 reading relation 188788695
Mon Oct  2 03:16:14 2023  error -1 reading relation 190926432
Mon Oct  2 03:16:55 2023  error -1 reading relation 195051056
Mon Oct  2 03:17:54 2023  error -1 reading relation 201596852
Mon Oct  2 03:19:05 2023  error -1 reading relation 209623376
Mon Oct  2 03:20:21 2023  error -1 reading relation 218132258
Mon Oct  2 03:20:36 2023  error -1 reading relation 219662923
Mon Oct  2 03:22:06 2023  error -11 reading relation 229277425
Mon Oct  2 03:22:31 2023  error -1 reading relation 232243408
Mon Oct  2 03:23:12 2023  error -1 reading relation 236592561
Mon Oct  2 03:23:13 2023  error -5 reading relation 236652564
Mon Oct  2 03:23:23 2023  error -15 reading relation 238023514
Mon Oct  2 03:23:32 2023  error -1 reading relation 239232128
Mon Oct  2 03:23:50 2023  error -1 reading relation 241236324
Mon Oct  2 03:23:55 2023  error -1 reading relation 241687307
Mon Oct  2 03:24:40 2023  error -1 reading relation 246994402
Mon Oct  2 03:25:08 2023  skipped 1054 relations with b > 2^32
Mon Oct  2 03:25:08 2023  skipped 4 relations with composite factors
Mon Oct  2 03:25:08 2023  skipped 395 malformed relations
Mon Oct  2 03:25:08 2023  found 50058563 hash collisions in 249679404 relations
Mon Oct  2 03:25:25 2023  commencing duplicate removal, pass 2
Mon Oct  2 03:34:05 2023  found 50496245 duplicates and 199183159 unique relations
Mon Oct  2 03:34:05 2023  memory use: 1449.5 MB
Mon Oct  2 03:34:05 2023  reading ideals above 169934848
Mon Oct  2 03:34:05 2023  commencing singleton removal, initial pass
Mon Oct  2 04:04:03 2023  memory use: 3012.0 MB
Mon Oct  2 04:04:03 2023  reading all ideals from disk
Mon Oct  2 04:04:08 2023  memory use: 5004.2 MB
Mon Oct  2 04:04:21 2023  commencing in-memory singleton removal
Mon Oct  2 04:04:32 2023  begin with 199183159 relations and 162721661 unique ideals
Mon Oct  2 04:05:13 2023  reduce to 136587031 relations and 94377562 ideals in 16 passes
Mon Oct  2 04:05:13 2023  max relations containing the same ideal: 43
Mon Oct  2 04:05:20 2023  reading ideals above 720000
Mon Oct  2 04:05:21 2023  commencing singleton removal, initial pass
Mon Oct  2 04:33:25 2023  memory use: 3012.0 MB
Mon Oct  2 04:33:25 2023  reading all ideals from disk
Mon Oct  2 04:33:30 2023  memory use: 6659.7 MB
Mon Oct  2 04:33:47 2023  keeping 112654202 ideals with weight <= 200, target excess is 718501
Mon Oct  2 04:34:08 2023  commencing in-memory singleton removal
Mon Oct  2 04:34:20 2023  begin with 136587031 relations and 112654202 unique ideals
Mon Oct  2 04:35:01 2023  reduce to 136581329 relations and 112648500 ideals in 7 passes
Mon Oct  2 04:35:01 2023  max relations containing the same ideal: 200
Mon Oct  2 04:36:17 2023  removing 10991807 relations and 8991807 ideals in 2000000 cliques
Mon Oct  2 04:36:23 2023  commencing in-memory singleton removal
Mon Oct  2 04:36:36 2023  begin with 125589522 relations and 112648500 unique ideals
Mon Oct  2 04:37:21 2023  reduce to 124864233 relations and 102917289 ideals in 8 passes
Mon Oct  2 04:37:21 2023  max relations containing the same ideal: 197
Mon Oct  2 04:38:27 2023  removing 8452206 relations and 6452206 ideals in 2000000 cliques
Mon Oct  2 04:38:33 2023  commencing in-memory singleton removal
Mon Oct  2 04:38:43 2023  begin with 116412027 relations and 102917289 unique ideals
Mon Oct  2 04:39:22 2023  reduce to 115924192 relations and 95969087 ideals in 9 passes
Mon Oct  2 04:39:22 2023  max relations containing the same ideal: 189
Mon Oct  2 04:40:29 2023  removing 7697447 relations and 5697447 ideals in 2000000 cliques
Mon Oct  2 04:40:34 2023  commencing in-memory singleton removal
Mon Oct  2 04:40:44 2023  begin with 108226745 relations and 95969087 unique ideals
Mon Oct  2 04:41:12 2023  reduce to 107796290 relations and 89833956 ideals in 7 passes
Mon Oct  2 04:41:12 2023  max relations containing the same ideal: 183
Mon Oct  2 04:42:09 2023  removing 7325042 relations and 5325042 ideals in 2000000 cliques
Mon Oct  2 04:42:14 2023  commencing in-memory singleton removal
Mon Oct  2 04:42:23 2023  begin with 100471248 relations and 89833956 unique ideals
Mon Oct  2 04:42:48 2023  reduce to 100062163 relations and 84092677 ideals in 7 passes
Mon Oct  2 04:42:48 2023  max relations containing the same ideal: 174
Mon Oct  2 04:43:44 2023  removing 7101494 relations and 5101494 ideals in 2000000 cliques
Mon Oct  2 04:43:52 2023  commencing in-memory singleton removal
Mon Oct  2 04:44:00 2023  begin with 92960669 relations and 84092677 unique ideals
Mon Oct  2 04:44:27 2023  reduce to 92552877 relations and 78575972 ideals in 8 passes
Mon Oct  2 04:44:27 2023  max relations containing the same ideal: 169
Mon Oct  2 04:45:16 2023  removing 6963895 relations and 4963895 ideals in 2000000 cliques
Mon Oct  2 04:45:20 2023  commencing in-memory singleton removal
Mon Oct  2 04:45:27 2023  begin with 85588982 relations and 78575972 unique ideals
Mon Oct  2 04:45:49 2023  reduce to 85176033 relations and 73191219 ideals in 7 passes
Mon Oct  2 04:45:49 2023  max relations containing the same ideal: 159
Mon Oct  2 04:46:34 2023  removing 6880614 relations and 4880614 ideals in 2000000 cliques
Mon Oct  2 04:46:38 2023  commencing in-memory singleton removal
Mon Oct  2 04:46:45 2023  begin with 78295419 relations and 73191219 unique ideals
Mon Oct  2 04:47:04 2023  reduce to 77864167 relations and 67870450 ideals in 7 passes
Mon Oct  2 04:47:04 2023  max relations containing the same ideal: 148
Mon Oct  2 04:47:46 2023  removing 6832017 relations and 4832017 ideals in 2000000 cliques
Mon Oct  2 04:47:50 2023  commencing in-memory singleton removal
Mon Oct  2 04:47:56 2023  begin with 71032150 relations and 67870450 unique ideals
Mon Oct  2 04:48:18 2023  reduce to 70574768 relations and 62571053 ideals in 7 passes
Mon Oct  2 04:48:18 2023  max relations containing the same ideal: 138
Mon Oct  2 04:48:56 2023  removing 6816276 relations and 4816276 ideals in 2000000 cliques
Mon Oct  2 04:49:00 2023  commencing in-memory singleton removal
Mon Oct  2 04:49:05 2023  begin with 63758492 relations and 62571053 unique ideals
Mon Oct  2 04:49:22 2023  reduce to 63265332 relations and 57249586 ideals in 8 passes
Mon Oct  2 04:49:22 2023  max relations containing the same ideal: 129
Mon Oct  2 04:49:57 2023  removing 6827227 relations and 4827227 ideals in 2000000 cliques
Mon Oct  2 04:50:01 2023  commencing in-memory singleton removal
Mon Oct  2 04:50:05 2023  begin with 56438105 relations and 57249586 unique ideals
Mon Oct  2 04:50:20 2023  reduce to 55894221 relations and 51864080 ideals in 8 passes
Mon Oct  2 04:50:20 2023  max relations containing the same ideal: 117
Mon Oct  2 04:50:51 2023  removing 6856965 relations and 4856965 ideals in 2000000 cliques
Mon Oct  2 04:50:54 2023  commencing in-memory singleton removal
Mon Oct  2 04:50:58 2023  begin with 49037256 relations and 51864080 unique ideals
Mon Oct  2 04:51:10 2023  reduce to 48423505 relations and 46374616 ideals in 8 passes
Mon Oct  2 04:51:10 2023  max relations containing the same ideal: 107
Mon Oct  2 04:51:40 2023  removing 4628943 relations and 3413516 ideals in 1215427 cliques
Mon Oct  2 04:51:44 2023  commencing in-memory singleton removal
Mon Oct  2 04:51:48 2023  begin with 43794562 relations and 46374616 unique ideals
Mon Oct  2 04:52:01 2023  reduce to 43478879 relations and 42638659 ideals in 8 passes
Mon Oct  2 04:52:01 2023  max relations containing the same ideal: 96
Mon Oct  2 04:52:33 2023  relations with 0 large ideals: 26637
Mon Oct  2 04:52:33 2023  relations with 1 large ideals: 7785
Mon Oct  2 04:52:33 2023  relations with 2 large ideals: 80699
Mon Oct  2 04:52:33 2023  relations with 3 large ideals: 616327
Mon Oct  2 04:52:33 2023  relations with 4 large ideals: 2602007
Mon Oct  2 04:52:33 2023  relations with 5 large ideals: 6622933
Mon Oct  2 04:52:33 2023  relations with 6 large ideals: 10663973
Mon Oct  2 04:52:33 2023  relations with 7+ large ideals: 22858518
Mon Oct  2 04:52:33 2023  commencing 2-way merge
Mon Oct  2 04:53:08 2023  reduce to 28751082 relation sets and 27910862 unique ideals
Mon Oct  2 04:53:08 2023  commencing full merge
Mon Oct  2 05:09:01 2023  memory use: 3899.6 MB
Mon Oct  2 05:09:05 2023  found 13012133 cycles, need 12999062
Mon Oct  2 05:09:09 2023  weight of 12999062 cycles is about 1612299835 (124.03/cycle)
Mon Oct  2 05:09:09 2023  distribution of cycle lengths:
Mon Oct  2 05:09:09 2023  1 relations: 547414
Mon Oct  2 05:09:09 2023  2 relations: 801442
Mon Oct  2 05:09:09 2023  3 relations: 935817
Mon Oct  2 05:09:09 2023  4 relations: 953373
Mon Oct  2 05:09:09 2023  5 relations: 961682
Mon Oct  2 05:09:09 2023  6 relations: 944433
Mon Oct  2 05:09:09 2023  7 relations: 922348
Mon Oct  2 05:09:09 2023  8 relations: 878209
Mon Oct  2 05:09:09 2023  9 relations: 823637
Mon Oct  2 05:09:09 2023  10+ relations: 5230707
Mon Oct  2 05:09:09 2023  heaviest cycle: 28 relations
Mon Oct  2 05:09:12 2023  commencing cycle optimization
Mon Oct  2 05:09:42 2023  start with 116284247 relations
Mon Oct  2 05:15:26 2023  pruned 5615813 relations
Mon Oct  2 05:15:26 2023  memory use: 3005.2 MB
Mon Oct  2 05:15:27 2023  distribution of cycle lengths:
Mon Oct  2 05:15:27 2023  1 relations: 547414
Mon Oct  2 05:15:27 2023  2 relations: 821788
Mon Oct  2 05:15:27 2023  3 relations: 976426
Mon Oct  2 05:15:27 2023  4 relations: 994448
Mon Oct  2 05:15:27 2023  5 relations: 1011187
Mon Oct  2 05:15:27 2023  6 relations: 991651
Mon Oct  2 05:15:27 2023  7 relations: 970885
Mon Oct  2 05:15:27 2023  8 relations: 921175
Mon Oct  2 05:15:27 2023  9 relations: 863368
Mon Oct  2 05:15:27 2023  10+ relations: 4900720
Mon Oct  2 05:15:27 2023  heaviest cycle: 28 relations
Mon Oct  2 05:15:52 2023  RelProcTime: 9040
Mon Oct  2 05:15:52 2023  elapsed time 02:30:44
Mon Oct  2 08:02:59 2023  
Mon Oct  2 08:02:59 2023  
Mon Oct  2 08:02:59 2023  Msieve v. 1.54 (SVN Unversioned directory)
Mon Oct  2 08:02:59 2023  random seeds: 94bf95e5 178e8cea
Mon Oct  2 08:02:59 2023  Using 4 OpenMP threads
Mon Oct  2 08:02:59 2023  factoring 888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887 (255 digits)
Mon Oct  2 08:03:00 2023  searching for 15-digit factors
Mon Oct  2 08:03:01 2023  commencing number field sieve (255-digit input)
Mon Oct  2 08:03:01 2023  R0: -2000000000000000000000000000000000000000000
Mon Oct  2 08:03:01 2023  R1: 1
Mon Oct  2 08:03:01 2023  A0: -17
Mon Oct  2 08:03:01 2023  A1: 0
Mon Oct  2 08:03:01 2023  A2: 0
Mon Oct  2 08:03:01 2023  A3: 0
Mon Oct  2 08:03:01 2023  A4: 0
Mon Oct  2 08:03:01 2023  A5: 0
Mon Oct  2 08:03:01 2023  A6: 125
Mon Oct  2 08:03:01 2023  skew 1.00, size 9.402e-13, alpha 0.706, combined = 1.130e-13 rroots = 2
Mon Oct  2 08:03:01 2023  
Mon Oct  2 08:03:01 2023  commencing linear algebra
Mon Oct  2 08:03:01 2023  using VBITS=256
Mon Oct  2 08:03:03 2023  read 12999062 cycles
Mon Oct  2 08:03:29 2023  cycles contain 42984988 unique relations
Mon Oct  2 08:15:07 2023  read 42984988 relations
Mon Oct  2 08:16:07 2023  using 20 quadratic characters above 4294917295
Mon Oct  2 08:17:48 2023  building initial matrix
Mon Oct  2 08:30:35 2023  memory use: 5626.7 MB
Mon Oct  2 08:30:49 2023  read 12999062 cycles
Mon Oct  2 08:30:54 2023  matrix is 12998885 x 12999062 (6214.7 MB) with weight 1775475610 (136.58/col)
Mon Oct  2 08:30:54 2023  sparse part has weight 1499158416 (115.33/col)
Mon Oct  2 08:34:25 2023  filtering completed in 2 passes
Mon Oct  2 08:34:30 2023  matrix is 12998820 x 12998992 (6214.7 MB) with weight 1775473519 (136.59/col)
Mon Oct  2 08:34:30 2023  sparse part has weight 1499157781 (115.33/col)
Mon Oct  2 08:35:12 2023  matrix starts at (0, 0)
Mon Oct  2 08:35:14 2023  matrix is 12998820 x 12998992 (6214.7 MB) with weight 1775473519 (136.59/col)
Mon Oct  2 08:35:14 2023  sparse part has weight 1499157781 (115.33/col)
Mon Oct  2 08:35:14 2023  saving the first 240 matrix rows for later
Mon Oct  2 08:35:18 2023  matrix includes 256 packed rows
Mon Oct  2 08:35:24 2023  matrix is 12998580 x 12998992 (5757.0 MB) with weight 1365158246 (105.02/col)
Mon Oct  2 08:35:24 2023  sparse part has weight 1301186019 (100.10/col)
Mon Oct  2 08:35:24 2023  using block size 8192 and superblock size 294912 for processor cache size 12288 kB
Mon Oct  2 08:36:04 2023  commencing Lanczos iteration (4 threads)
Mon Oct  2 08:36:04 2023  memory use: 7862.3 MB

Mon Oct  2 21:02:43 2023  
Mon Oct  2 21:02:43 2023  
Mon Oct  2 21:02:43 2023  Msieve v. 1.54 (SVN unknown)
Mon Oct  2 21:02:43 2023  random seeds: 9239f7fb d41b8e03
Mon Oct  2 21:02:43 2023  factoring 888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887 (255 digits)
Mon Oct  2 21:02:44 2023  no P-1/P+1/ECM available, skipping
Mon Oct  2 21:02:44 2023  commencing number field sieve (255-digit input)
Mon Oct  2 21:02:44 2023  R0: -2000000000000000000000000000000000000000000
Mon Oct  2 21:02:44 2023  R1: 1
Mon Oct  2 21:02:44 2023  A0: -17
Mon Oct  2 21:02:44 2023  A1: 0
Mon Oct  2 21:02:44 2023  A2: 0
Mon Oct  2 21:02:44 2023  A3: 0
Mon Oct  2 21:02:44 2023  A4: 0
Mon Oct  2 21:02:44 2023  A5: 0
Mon Oct  2 21:02:44 2023  A6: 125
Mon Oct  2 21:02:44 2023  skew 1.00, size 9.402e-13, alpha 0.706, combined = 1.130e-13 rroots = 2
Mon Oct  2 21:02:44 2023  
Mon Oct  2 21:02:44 2023  commencing linear algebra
Mon Oct  2 21:02:44 2023  using VBITS=128
Mon Oct  2 21:02:44 2023  skipping matrix build
Mon Oct  2 21:03:16 2023  matrix starts at (0, 0)
Mon Oct  2 21:03:18 2023  matrix is 12998820 x 12998992 (6214.7 MB) with weight 1775473519 (136.59/col)
Mon Oct  2 21:03:18 2023  sparse part has weight 1499157781 (115.33/col)
Mon Oct  2 21:03:18 2023  saving the first 112 matrix rows for later
Mon Oct  2 21:03:22 2023  matrix includes 128 packed rows
Mon Oct  2 21:03:25 2023  matrix is 12998708 x 12998992 (5802.7 MB) with weight 1441296226 (110.88/col)
Mon Oct  2 21:03:25 2023  sparse part has weight 1365158246 (105.02/col)
Mon Oct  2 21:03:25 2023  using GPU 0 (Tesla P100-PCIE-16GB)
Mon Oct  2 21:03:25 2023  selected card has CUDA arch 6.0
Mon Oct  2 21:05:59 2023  commencing Lanczos iteration
Mon Oct  2 21:06:00 2023  memory use: 12597.2 MB
Mon Oct  2 21:06:07 2023  linear algebra at 0.0%, ETA 16h32m
Mon Oct  2 21:06:10 2023  checkpointing every 740000 dimensions

Tue Oct  3 09:40:32 2023  
Tue Oct  3 09:40:32 2023  
Tue Oct  3 09:40:32 2023  Msieve v. 1.54 (SVN unknown)
Tue Oct  3 09:40:32 2023  random seeds: b7ba3f98 53aed1d5
Tue Oct  3 09:40:32 2023  factoring 888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887 (255 digits)
Tue Oct  3 09:40:33 2023  no P-1/P+1/ECM available, skipping
Tue Oct  3 09:40:33 2023  commencing number field sieve (255-digit input)
Tue Oct  3 09:40:33 2023  R0: -2000000000000000000000000000000000000000000
Tue Oct  3 09:40:33 2023  R1: 1
Tue Oct  3 09:40:33 2023  A0: -17
Tue Oct  3 09:40:33 2023  A1: 0
Tue Oct  3 09:40:33 2023  A2: 0
Tue Oct  3 09:40:33 2023  A3: 0
Tue Oct  3 09:40:33 2023  A4: 0
Tue Oct  3 09:40:33 2023  A5: 0
Tue Oct  3 09:40:33 2023  A6: 125
Tue Oct  3 09:40:33 2023  skew 1.00, size 9.402e-13, alpha 0.706, combined = 1.130e-13 rroots = 2
Tue Oct  3 09:40:33 2023  
Tue Oct  3 09:40:33 2023  commencing linear algebra
Tue Oct  3 09:40:33 2023  using VBITS=128
Tue Oct  3 09:40:33 2023  skipping matrix build
Tue Oct  3 09:40:59 2023  matrix starts at (0, 0)
Tue Oct  3 09:41:01 2023  matrix is 12998820 x 12998992 (6214.7 MB) with weight 1775473519 (136.59/col)
Tue Oct  3 09:41:01 2023  sparse part has weight 1499157781 (115.33/col)
Tue Oct  3 09:41:01 2023  saving the first 112 matrix rows for later
Tue Oct  3 09:41:05 2023  matrix includes 128 packed rows
Tue Oct  3 09:41:08 2023  matrix is 12998708 x 12998992 (5802.7 MB) with weight 1441296226 (110.88/col)
Tue Oct  3 09:41:08 2023  sparse part has weight 1365158246 (105.02/col)
Tue Oct  3 09:41:08 2023  using GPU 0 (Tesla P100-PCIE-16GB)
Tue Oct  3 09:41:08 2023  selected card has CUDA arch 6.0
Tue Oct  3 09:43:42 2023  commencing Lanczos iteration
Tue Oct  3 09:43:43 2023  memory use: 12597.2 MB
Tue Oct  3 09:43:48 2023  restarting at iteration 58162 (dim = 7400080)
Tue Oct  3 09:43:55 2023  linear algebra at 56.9%, ETA 7h 7m
Tue Oct  3 09:43:57 2023  checkpointing every 820000 dimensions
Tue Oct  3 16:29:37 2023  lanczos halted after 102167 iterations (dim = 12998706)
Tue Oct  3 16:30:05 2023  recovered 34 nontrivial dependencies
Tue Oct  3 16:30:06 2023  BLanczosTime: 24573
Tue Oct  3 16:30:06 2023  elapsed time 06:49:34

Tue Oct  3 23:22:11 2023  
Tue Oct  3 23:22:11 2023  
Tue Oct  3 23:22:11 2023  Msieve v. 1.54 (SVN 1049M)
Tue Oct  3 23:22:11 2023  random seeds: 84f0cb9b cc12312c
Tue Oct  3 23:22:11 2023  factoring 888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887 (255 digits)
Tue Oct  3 23:22:13 2023  no P-1/P+1/ECM available, skipping
Tue Oct  3 23:22:13 2023  commencing number field sieve (255-digit input)
Tue Oct  3 23:22:13 2023  R0: -2000000000000000000000000000000000000000000
Tue Oct  3 23:22:13 2023  R1: 1
Tue Oct  3 23:22:13 2023  A0: -17
Tue Oct  3 23:22:13 2023  A1: 0
Tue Oct  3 23:22:13 2023  A2: 0
Tue Oct  3 23:22:13 2023  A3: 0
Tue Oct  3 23:22:13 2023  A4: 0
Tue Oct  3 23:22:13 2023  A5: 0
Tue Oct  3 23:22:13 2023  A6: 125
Tue Oct  3 23:22:13 2023  skew 1.00, size 9.402e-13, alpha 0.706, combined = 1.130e-13 rroots = 2
Tue Oct  3 23:22:13 2023  
Tue Oct  3 23:22:13 2023  commencing square root phase
Tue Oct  3 23:22:13 2023  reading relations for dependency 1
Tue Oct  3 23:22:14 2023  read 6502021 cycles
Tue Oct  3 23:22:29 2023  cycles contain 21498328 unique relations
Tue Oct  3 23:30:18 2023  read 21498328 relations
Tue Oct  3 23:32:17 2023  multiplying 21498328 relations
Tue Oct  3 23:56:28 2023  multiply complete, coefficients have about 703.88 million bits
Tue Oct  3 23:56:30 2023  initial square root is modulo 2064913
Wed Oct  4 00:21:29 2023  found factor: 191503376094869754448482073535076234530708989394465070907662854118918271431135654396249255462851339647252787111870155183
Wed Oct  4 00:21:29 2023  reading relations for dependency 2
Wed Oct  4 00:21:31 2023  read 6496611 cycles
Wed Oct  4 00:21:44 2023  cycles contain 21485786 unique relations
Wed Oct  4 00:29:59 2023  read 21485786 relations
Wed Oct  4 00:32:10 2023  multiplying 21485786 relations
Wed Oct  4 00:57:15 2023  multiply complete, coefficients have about 703.46 million bits
Wed Oct  4 00:57:18 2023  initial square root is modulo 2047183
Wed Oct  4 01:23:24 2023  GCD is 1, no factor found
Wed Oct  4 01:23:24 2023  reading relations for dependency 3
Wed Oct  4 01:23:26 2023  read 6499604 cycles
Wed Oct  4 01:23:40 2023  cycles contain 21490100 unique relations
Wed Oct  4 01:32:27 2023  read 21490100 relations
Wed Oct  4 01:34:34 2023  multiplying 21490100 relations
Wed Oct  4 01:59:17 2023  multiply complete, coefficients have about 703.60 million bits
Wed Oct  4 01:59:19 2023  initial square root is modulo 2053189
Wed Oct  4 02:24:05 2023  sqrtTime: 10912
Wed Oct  4 02:24:05 2023  p56 factor: 46155814327874133294538127912737606657890190058015721073
Wed Oct  4 02:24:05 2023  p64 factor: 4149062883703001261549054059552873568327126536970025629871383071
Wed Oct  4 02:24:05 2023  p136 factor: 4641635604630479510910886898556910983513332084373118220918351115013377083389956457740066104985530838354537696194496299169741109812727289
Wed Oct  4 02:24:05 2023  elapsed time 03:01:54