17971772049703380770872693965022597015520097160880372300753990337668911663732757087498260549474736212909702331511965440256756617<128>

1004820882632276527830270183518898992416504143114237890399<58>
17885547922355746416686929289310612032014336893263405732569845071746583<71>

N=17971772049703380770872693965022597015520097160880372300753990337668911663732757087498260549474736212909702331511965440256756617
  ( 128 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=1004820882632276527830270183518898992416504143114237890399 (pp58)
 r2=17885547922355746416686929289310612032014336893263405732569845071746583 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.47 hours.
Scaled time: 27.48 units (timescale=7.930).
Factorization parameters were as follows:
n: 17971772049703380770872693965022597015520097160880372300753990337668911663732757087498260549474736212909702331511965440256756617
m: 10000000000000000000000000000000000
deg: 4
c4: 50
c0: 67
skew: 1.08
# Murphy_E = 6.085e-09
type: snfs
lss: 1
rlim: 1380000
alim: 1380000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1380000/1380000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [690000, 1590001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 206439 x 206665
Total sieving time: 3.43 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,137.000,4,0,0,0,0,0,0,0,0,1380000,1380000,26,26,48,48,2.3,2.3,100000
total time: 3.47 hours.

GNFS, Msieve

1350380186981342956163305013655374199284466681181855281315973814148636154384466043144970161084792458987<103>

96564772507387206918133175097168632308028476703<47>
13984190630988529967173830539052021174611500728464898229<56>

N=1350380186981342956163305013655374199284466681181855281315973814148636154384466043144970161084792458987
  ( 103 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=96564772507387206918133175097168632308028476703 (pp47)
 r2=13984190630988529967173830539052021174611500728464898229 (pp56)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.75 hours.
Scaled time: 29.67 units (timescale=7.911).
Factorization parameters were as follows:
n: 1350380186981342956163305013655374199284466681181855281315973814148636154384466043144970161084792458987
m: 100000000000000000000000000000
deg: 5
c5: 5
c0: 67
skew: 1.68
# Murphy_E = 2.747e-09
type: snfs
lss: 1
rlim: 1880000
alim: 1880000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1880000/1880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [940000, 1740001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 251515 x 251740
Total sieving time: 3.70 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,145.000,5,0,0,0,0,0,0,0,0,1880000,1880000,26,26,49,49,2.3,2.3,100000
total time: 3.75 hours.

GNFS, Msieve

280706153649208058595272304566087911928922799990026660145647224895530041456068612953675178189560427443251007816821021881896003139967793<135>

37866234336102805055678832067449899<35>
284792877910684896944994461419455007<36>
26029791587815265796309501043131437668545215964125161398387439501<65>

N=280706153649208058595272304566087911928922799990026660145647224895530041456068612953675178189560427443251007816821021881896003139967793
  ( 135 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=37866234336102805055678832067449899 (pp35)
 r2=284792877910684896944994461419455007 (pp36)
 r3=26029791587815265796309501043131437668545215964125161398387439501 (pp65)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.90 hours.
Scaled time: 38.28 units (timescale=7.819).
Factorization parameters were as follows:
n: 280706153649208058595272304566087911928922799990026660145647224895530041456068612953675178189560427443251007816821021881896003139967793
m: 100000000000000000000000000000
deg: 5
c5: 50
c0: 67
skew: 1.06
# Murphy_E = 1.906e-09
type: snfs
lss: 1
rlim: 1950000
alim: 1950000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1950000/1950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [975000, 2075001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 285767 x 285992
Total sieving time: 4.85 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1950000,1950000,26,26,49,49,2.3,2.3,100000
total time: 4.90 hours.

GNFS, Msieve

225410977050795290380769936995623414756934853636283975186747999851539801315174803462142548090706950021766899058055142206683<123>

7280050270824059242315832150384932583<37>
30962832489517971707564283936975840238852099935211468009400256073742304390892707102701<86>

N=225410977050795290380769936995623414756934853636283975186747999851539801315174803462142548090706950021766899058055142206683
  ( 123 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=7280050270824059242315832150384932583 (pp37)
 r2=30962832489517971707564283936975840238852099935211468009400256073742304390892707102701 (pp86)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.13 hours.
Scaled time: 71.13 units (timescale=7.794).
Factorization parameters were as follows:
n: 225410977050795290380769936995623414756934853636283975186747999851539801315174803462142548090706950021766899058055142206683
m: 10000000000000000000000000000000000000
deg: 4
c4: 1
c0: 134
skew: 3.40
# Murphy_E = 2.191e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 286212 x 286437
Total sieving time: 9.07 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,148.000,4,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 9.13 hours.

GNFS, Msieve

1744036837134421052735000108251412588526949600589377743568993625703592164021012063244821196076057344727<103>

1017662225820668482595376902274658447121<40>
1713767881801828465880219051707582828321936474547863224787901287<64>

prp64 = 1713767881801828465880219051707582828321936474547863224787901287
prp40 = 1017662225820668482595376902274658447121

Yafu

55408515831107206634986411081649821488637270012707753439632851318061440013033667855183448086736565792292817456195833606495359102671351<134>

117777207242017691560214758027471810975178287681<48>
470451941666858458638372321341586521392973604227922453106761121921254594438104313366071<87>

N=55408515831107206634986411081649821488637270012707753439632851318061440013033667855183448086736565792292817456195833606495359102671351
  ( 134 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=117777207242017691560214758027471810975178287681 (pp48)
 r2=470451941666858458638372321341586521392973604227922453106761121921254594438104313366071 (pp87)
Version: Msieve v. 1.52 (SVN 927)
Total time: 12.30 hours.
Scaled time: 97.08 units (timescale=7.893).
Factorization parameters were as follows:
n: 55408515831107206634986411081649821488637270012707753439632851318061440013033667855183448086736565792292817456195833606495359102671351
m: 100000000000000000000000000000000000000
deg: 4
c4: 1
c0: 134
skew: 3.40
# Murphy_E = 1.367e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 392847 x 393080
Total sieving time: 12.22 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,152.000,4,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 12.30 hours.

GNFS, Msieve

41190720596564805082295688633308114896266643228901734014468499669854643531544670914692336966436502311<101>

473827032967427741277655613325504947836021<42>
86931976714372849889890218252410331502386234942661371096491<59>

prp42 = 473827032967427741277655613325504947836021
prp59 = 86931976714372849889890218252410331502386234942661371096491

Yafu

1948976515276122844307681873989105202574307415718146451801538370034914027577867969696931<88>

68384004801641967463217860422627139<35>
28500473479572024043960658620954808301773113400164129<53>

prp35 = 68384004801641967463217860422627139
prp53 = 28500473479572024043960658620954808301773113400164129

Yafu

4619834691020056507438911050901557038036703225241456975445900138824810810487339<79>

1877786954706193059421924789034940513733<40>
2460254971652466556677150526448855457583<40>

prp40 = 2460254971652466556677150526448855457583
prp40 = 1877786954706193059421924789034940513733

Yafu

381824584100873050500524682264743840055999108264064493984788184824505527572150590147023872424331657261251810698604900510973957567<129>

132963579442467893295627822203587682113<39>
2871647903146929073775126719687623902428622979988296667719922294348903187825465749783983359<91>

N=381824584100873050500524682264743840055999108264064493984788184824505527572150590147023872424331657261251810698604900510973957567
  ( 129 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=132963579442467893295627822203587682113 (pp39)
 r2=2871647903146929073775126719687623902428622979988296667719922294348903187825465749783983359 (pp91)
Version: Msieve v. 1.52 (SVN 927)
Total time: 22.24 hours.
Scaled time: 174.87 units (timescale=7.862).
Factorization parameters were as follows:
n: 381824584100873050500524682264743840055999108264064493984788184824505527572150590147023872424331657261251810698604900510973957567
m: 500000000000000000000000000000000
deg: 5
c5: 8
c0: 335
skew: 2.11
# Murphy_E = 3.733e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 3700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 720111 x 720337
Total sieving time: 22.04 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 22.24 hours.

GNFS, Msieve

214163693878635851302098789594046708819795509334884207432448454481428128593735047960933400026820233377286876384604956457957495057604159143229953018863357831<156>

861417251508092903522005017401525493444157813<45>
895838211910507213842954493468150713659510749469<48>
277525376521632801135569430882220515483261337612743174682574023<63>

N=214163693878635851302098789594046708819795509334884207432448454481428128593735047960933400026820233377286876384604956457957495057604159143229953018863357831
  ( 156 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=861417251508092903522005017401525493444157813 (pp45)
 r2=895838211910507213842954493468150713659510749469 (pp48)
 r3=277525376521632801135569430882220515483261337612743174682574023 (pp63)
Version: Msieve v. 1.52 (SVN 927)
Total time: 22.54 hours.
Scaled time: 174.71 units (timescale=7.752).
Factorization parameters were as follows:
n: 214163693878635851302098789594046708819795509334884207432448454481428128593735047960933400026820233377286876384604956457957495057604159143229953018863357831
m: 1000000000000000000000000000000000
deg: 5
c5: 1
c0: 134
skew: 2.66
# Murphy_E = 3.786e-10
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 3750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 744034 x 744259
Total sieving time: 22.32 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 22.54 hours.

GNFS, Msieve

126677078048467770545434523317807277098838714886943086963945343061398301744639436927757640253307586562795051175190051814414368615241246290164576362488652679999<159>

3026044011046090054291520156176557487002465981802642995117757003567973024302757<79>
41862272189714803241651918480688926937194908764178367052043581873512668880505107<80>

Number: n
N=126677078048467770545434523317807277098838714886943086963945343061398301744639436927757640253307586562795051175190051814414368615241246290164576362488652679999  ( 159 digits)
SNFS difficulty: 169 digits.
Divisors found:

Wed Jan  5 22:41:19 2022  p79 factor: 3026044011046090054291520156176557487002465981802642995117757003567973024302757
Wed Jan  5 22:41:19 2022  p80 factor: 41862272189714803241651918480688926937194908764178367052043581873512668880505107
Wed Jan  5 22:41:19 2022  elapsed time 00:13:20 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.295).
Factorization parameters were as follows:
#
# N = 10^169+134 = 2(167)52
#
n: 126677078048467770545434523317807277098838714886943086963945343061398301744639436927757640253307586562795051175190051814414368615241246290164576362488652679999
m: 5000000000000000000000000000000000
deg: 5
c5: 8
c0: 335
skew: 2.11
# Murphy_E = 2.374e-10
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3399757 hash collisions in 23171720 relations (20526090 unique)
Msieve: matrix is 796856 x 797101 (144.8 MB)

Sieving start time : 2022/01/05 21:14:20
Sieving end time  : 2022/01/05 22:27:34

Total sieving time: 1hrs 13min 14secs.

Total relation processing time: 0hrs 5min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 29sec.

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

2163046333471214515553195761988465932921610865992169837942920887639770123536625087292649492165214236708922906333822180896218367755938259043200506599017925561971<160>

11375876169844900997899593189134949905029391519<47>
190143273465388428847831091373528312534277107179565200088841283208823665109723515901902377294712667360236621025709<114>

Number: n
N=2163046333471214515553195761988465932921610865992169837942920887639770123536625087292649492165214236708922906333822180896218367755938259043200506599017925561971  ( 160 digits)
SNFS difficulty: 170 digits.
Divisors found:

Wed Jan  5 21:12:47 2022  p47 factor: 11375876169844900997899593189134949905029391519
Wed Jan  5 21:12:47 2022  p114 factor: 190143273465388428847831091373528312534277107179565200088841283208823665109723515901902377294712667360236621025709
Wed Jan  5 21:12:47 2022  elapsed time 00:10:50 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.286).
Factorization parameters were as follows:
#
# N = 10^170+134 = 2(168)52
#
n: 2163046333471214515553195761988465932921610865992169837942920887639770123536625087292649492165214236708922906333822180896218367755938259043200506599017925561971
m: 10000000000000000000000000000000000
deg: 5
c5: 1
c0: 134
skew: 2.66
# Murphy_E = 2.405e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 22400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2617734 hash collisions in 20653753 relations (18791475 unique)
Msieve: matrix is 608848 x 609073 (202.7 MB)

Sieving start time : 2022/01/05 18:57:26
Sieving end time  : 2022/01/05 21:01:07

Total sieving time: 2hrs 3min 41secs.

Total relation processing time: 0hrs 5min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 25sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

882969734814013921688745319876060457085140476412003795382289483602848437922468608106329381694699393459610210795771664657<120>

678163554698913942614326465292288232450662449<45>
1302001159891330812715230697243712667933869192210623306774719546368416788193<76>

CADO

STA:Fri 31 Dec 2021 13:37:32 AEDT (882,969,734,814,013,921,688,745,319,876,060,457,085,140,476,412,003,795,382,289,483,602,848,437,922,468,608,106,329,381,694,699,393,459,610,210,795,771,664,657 - C120)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 882969734814013921688745319876060457085140476412003795382289483602848437922468608106329381694699393459610210795771664657 2>&1 | tee -a log136

Debug:root: Looking for parameter file for c120 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.mdbguy0n
Info:Database: Opened connection to database /tmp/cado.mdbguy0n/c120.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 8829697348140139216887453198760604570851404764120037953822894836028484379224686081063
29381694699393459610210795771664657
Debug:root: Root parameter dictionary:
N = 882969734814013921688745319876060457085140476412003795382289483602848437922468608106329381694699393459610210795771664657
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 882969734814013921688745319876060457085140476412003795382289483602848437922468608106329381694699393459610210795771664657
skew: 102379.08
c0: 13886751604597711565431594185
c1: -89347986809602765052013
c2: -9802513793193096569
c3: -5224536791323
c4: -425738704
c5: 840
Y0: -254059468972771443054362
Y1: 3462042490911007
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 1.62e-09
# f(x) = 840*x^5-425738704*x^4-5224536791323*x^3-9802513793193096569*x^2-89347986809602765052013*x+13886751604597711565431594185
# g(x) = 3462042490911007*x-254059468972771443054362
...
Info:Square Root: finished
Info:Square Root: Factors: 678163554698913942614326465292288232450662449 1302001159891330812715230697243712667933869192210623306774719546368416788193
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10564/36.390/42.875/47.360/1.049
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10564/34.710/38.136/43.380/1.145
Info:Polynomial Selection (size optimized): Total time: 1142.13
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 369.4
Info:Polynomial Selection (root optimized): Rootsieve time: 368.51
Info:Generate Factor Base: Total cpu/real time for makefb: 23.36/2.10402
Info:Generate Free Relations: Total cpu/real time for freerel: 150/10.0662
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 10373471
Info:Lattice Sieving: Average J: 8191.22 for 21046 special-q, max bucket fill: 0.669041
Info:Lattice Sieving: Total CPU time: 64731.8s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 25.51/33.9052
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 33.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 201.41/95.5616
Info:Filtering - Singleton removal: Total cpu/real time for purge: 135.41/76.0316
Info:Filtering - Merging: Total cpu/real time for merge: 487.61/396.204
Info:Filtering - Merging: Total cpu/real time for replay: 37.67/28.9407
Info:Linear Algebra: Total cpu/real time for bwc: 21730.8/0.00032258
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 902.82
Info:Linear Algebra: Lingen CPU time 220.68, WCT time 21.88
Info:Linear Algebra: Mksol: WCT time 506.74
Info:Quadratic Characters: Total cpu/real time for characters: 37.52/8.87511
Info:Square Root: Total cpu/real time for sqrt: 823.92/118.986
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 89896.6/6551.53
Info:root: Cleaning up computation data in /tmp/cado.mdbguy0n
678163554698913942614326465292288232450662449 1302001159891330812715230697243712667933869192210623306774719546368416788193

END:Fri 31 Dec 2021 15:26:44 AEDT (882,969,734,814,013,921,688,745,319,876,060,457,085,140,476,412,003,795,382,289,483,602,848,437,922,468,608,106,329,381,694,699,393,459,610,210,795,771,664,657 - C120)

645267894563816389638865774656033649096216753528131078969916306786961903156908064372719089953604450671536327712032996564641328196078205194384763385514884993<156>

14331208788139337601079343636626473667255585181476424267<56>
45025364161734007626045752498758547539693975674962747355205464418853724117075907114834016536450743779<101>

Number: n
N=645267894563816389638865774656033649096216753528131078969916306786961903156908064372719089953604450671536327712032996564641328196078205194384763385514884993  ( 156 digits)
SNFS difficulty: 171 digits.
Divisors found:

Thu Jan  6 09:50:53 2022  p56 factor: 14331208788139337601079343636626473667255585181476424267
Thu Jan  6 09:50:53 2022  p101 factor: 45025364161734007626045752498758547539693975674962747355205464418853724117075907114834016536450743779
Thu Jan  6 09:50:53 2022  elapsed time 00:11:19 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.306).
Factorization parameters were as follows:
#
# N = 10^172+134 = 2(170)52
#
n: 645267894563816389638865774656033649096216753528131078969916306786961903156908064372719089953604450671536327712032996564641328196078205194384763385514884993
m: 10000000000000000000000000000000000
deg: 5
c5: 50
c0: 67
skew: 1.06
# Murphy_E = 2.059e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2861856 hash collisions in 20753417 relations (18594112 unique)
Msieve: matrix is 621709 x 621937 (209.6 MB)

Sieving start time : 2022/01/06 08:40:19
Sieving end time  : 2022/01/06 09:39:03

Total sieving time: 0hrs 58min 44secs.

Total relation processing time: 0hrs 6min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 31sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

17048908738379569297052201664319058105560018291412350558530828191308032646818083345392820338602345420197671062282409<116>

87078175669099155315889546712844525277<38>
195788538372303090316391861585700331966843010582480327585149917775637951725117<78>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:196407682
Step 1 took 3656ms
Step 2 took 2812ms
********** Factor found in step 2: 87078175669099155315889546712844525277
Found prime factor of 38 digits: 87078175669099155315889546712844525277
Prime cofactor 195788538372303090316391861585700331966843010582480327585149917775637951725117 has 78 digits

GMP-ECM

1178946129708007020205411770579917687893912913026161494184150655326855069765221733702913341493206140413<103>

5431259935462921569266136090312409743969320634509<49>
217066784450912516252426655349198253384682507017252657<54>

prp54 = 217066784450912516252426655349198253384682507017252657
prp49 = 5431259935462921569266136090312409743969320634509

Yafu

2069532371129008504817973202983841544849283234464482342481958922265336060495097549420796393468467857472386969243519320058292986082842569161740528183318881<154>

1159839017877064136614314517979422613092028597<46>
1784327255102195843256733685464067554240984493677217663535580632234957922377808744113436547206596010385902973<109>

N=2069532371129008504817973202983841544849283234464482342481958922265336060495097549420796393468467857472386969243519320058292986082842569161740528183318881
  ( 154 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=1159839017877064136614314517979422613092028597 (pp46)
 r2=1784327255102195843256733685464067554240984493677217663535580632234957922377808744113436547206596010385902973 (pp109)
Version: Msieve v. 1.52 (SVN 927)
Total time: 38.79 hours.
Scaled time: 305.68 units (timescale=7.880).
Factorization parameters were as follows:
n: 2069532371129008504817973202983841544849283234464482342481958922265336060495097549420796393468467857472386969243519320058292986082842569161740528183318881
m: 100000000000000000000000000000000000
deg: 5
c5: 5
c0: 67
skew: 1.68
# Murphy_E = 1.88e-10
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 5650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 981115 x 981343
Total sieving time: 38.57 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 38.79 hours.

GNFS, Msieve

377928949357520786092214663643235071806500377928949357520786092214663643235071806500377928949357520786092214663643235071806500377928949357520786092214663643235071806500377929<174>

183680435986197881782573760398334995741<39>

2057535127943180237031850579269275087162155409630476761126639067552687545321654160740043948773920728190749408390906384610346262670019869<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2263940023
Step 1 took 6015ms
Step 2 took 3406ms
********** Factor found in step 2: 183680435986197881782573760398334995741
Found prime factor of 39 digits: 183680435986197881782573760398334995741
Composite cofactor 2057535127943180237031850579269275087162155409630476761126639067552687545321654160740043948773920728190749408390906384610346262670019869 has 136 digits
 

GMP-ECM

2057535127943180237031850579269275087162155409630476761126639067552687545321654160740043948773920728190749408390906384610346262670019869<136>

56658966855423503094051390519645974637202693<44>
36314377796428688263212982881593070814425573639730931521955852768242927442514477963478367033<92>

N=2057535127943180237031850579269275087162155409630476761126639067552687545321654160740043948773920728190749408390906384610346262670019869
  ( 136 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=56658966855423503094051390519645974637202693 (pp44)
 r2=36314377796428688263212982881593070814425573639730931521955852768242927442514477963478367033 (pp92)
Version: Msieve v. 1.52 (SVN 927)
Total time: 51.43 hours.
Scaled time: 401.14 units (timescale=7.800).
Factorization parameters were as follows:
n: 2057535127943180237031850579269275087162155409630476761126639067552687545321654160740043948773920728190749408390906384610346262670019869
m: 100000000000000000000000000000000000
deg: 5
c5: 50
c0: 67
skew: 1.06
# Murphy_E = 1.301e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 6600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1254371 x 1254603
Total sieving time: 51.00 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 51.43 hours.

GNFS, Msieve

2011575577165929644267280544657041637940457897423649310525962880133641838705773438946534709125587646958413201305242652827152403912397271491<139>

204506899898816327915523327599591144824094401<45>
9836223512073161632504872953284230273907039720409007273802054657918252332450783208559678281091<94>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3919758709
Step 1 took 18016ms
Step 2 took 5125ms
********** Factor found in step 2: 204506899898816327915523327599591144824094401
Found prime factor of 45 digits: 204506899898816327915523327599591144824094401
Prime cofactor 9836223512073161632504872953284230273907039720409007273802054657918252332450783208559678281091 has 94 digits
 

GMP-ECM

1094091562267861689404462414886601796233939957641911795235844488093292148386875160755090938551623249052127021444508950039<121>

279242821298808174564844112553762128930701973344535376302357<60>
3918065134777849127427821671701885892849469862284674249295227<61>

CADO

STA:Sun 02 Jan 2022 17:36:31 AEDT (1,094,091,562,267,861,689,404,462,414,886,601,796,233,939,957,641,911,795,235,844,488,093,292,148,386,875,160,755,090,938,551,623,249,052,127,021,444,508,950,039 - C121)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1094091562267861689404462414886601796233939957641911795235844488093292148386875160755090938551623249052127021444508950039 2>&1 | tee -a log150

Debug:root: Looking for parameter file for c121 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.bioeucxq
Info:Database: Opened connection to database /tmp/cado.bioeucxq/c120.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1094091562267861689404462414886601796233939957641911795235844488093292148386875160755
090938551623249052127021444508950039
Debug:root: Root parameter dictionary:
N = 1094091562267861689404462414886601796233939957641911795235844488093292148386875160755090938551623249052127021444508950039
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 1094091562267861689404462414886601796233939957641911795235844488093292148386875160755090938551623249052127021444508950039
skew: 47907.41
c0: 804788537545153368353885718
c1: -303915639363176075059253
c2: -36988160162527303240
c3: 216534959104119
c4: 4135766628
c5: 41760
Y0: -138926115141478722665480
Y1: 17450802506038561
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 1.62e-09
# f(x) = 41760*x^5+4135766628*x^4+216534959104119*x^3-36988160162527303240*x^2-303915639363176075059253*x+804788537545153368353885718
# g(x) = 17450802506038561*x-138926115141478722665480
...
Info:Square Root: finished
Info:Square Root: Factors: 3918065134777849127427821671701885892849469862284674249295227 279242821298808174564844112553762128930701973344535376302357
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10390/36.780/42.942/47.610/1.028
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10390/34.420/38.150/43.440/1.109
Info:Polynomial Selection (size optimized): Total time: 1130.73
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 416.18
Info:Polynomial Selection (root optimized): Rootsieve time: 415.34
Info:Generate Factor Base: Total cpu/real time for makefb: 23.63/2.1586
Info:Generate Free Relations: Total cpu/real time for freerel: 149.16/9.93222
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 10265723
Info:Lattice Sieving: Average J: 7985.22 for 22184 special-q, max bucket fill: 0.661555
Info:Lattice Sieving: Total CPU time: 66963.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 25.48/33.2923
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 33.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 185.72/80.3223
Info:Filtering - Singleton removal: Total cpu/real time for purge: 111.31/60.6605
Info:Filtering - Merging: Total cpu/real time for merge: 481.77/392.147
Info:Filtering - Merging: Total cpu/real time for replay: 37.84/29.3176
Info:Linear Algebra: Total cpu/real time for bwc: 22381.6/0.000164747
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 925.0
Info:Linear Algebra: Lingen CPU time 223.51, WCT time 22.1
Info:Linear Algebra: Mksol: WCT time 516.08
Info:Quadratic Characters: Total cpu/real time for characters: 37.52/8.93813
Info:Square Root: Total cpu/real time for sqrt: 906.8/129.212
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 92851.4/6728.55
Info:root: Cleaning up computation data in /tmp/cado.bioeucxq
3918065134777849127427821671701885892849469862284674249295227 279242821298808174564844112553762128930701973344535376302357

END:Sun 02 Jan 2022 19:28:41 AEDT (1,094,091,562,267,861,689,404,462,414,886,601,796,233,939,957,641,911,795,235,844,488,093,292,148,386,875,160,755,090,938,551,623,249,052,127,021,444,508,950,039 - C121)

109751248567973856568975267987109020661976256501733568626867636428959458358727275010622259887157067491829648710371810787738927827956573<135>

7791230744849366586000730273081979415193263328335803<52>
14086509841917890167402258485125287304854472065317064587473265849727554735779099591<83>

01/30/22 02:13:20, 
01/30/22 02:13:20, ****************************
01/30/22 02:13:20, Starting factorization of 2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222252
01/30/22 02:13:20, using pretesting plan: normal
01/30/22 02:13:20, using specified qs/gnfs crossover of 100 digits
01/30/22 02:13:20, using specified qs/snfs crossover of 75 digits
01/30/22 02:13:20, ****************************
01/30/22 02:13:20, div: found prime factor = 2
01/30/22 02:13:20, div: found prime factor = 2
01/30/22 02:13:20, rho: x^2 + 3, starting 1000 iterations on C183
01/30/22 02:13:20, prp9 = 752726983
01/30/22 02:13:20, rho: x^2 + 3, starting 1000 iterations on C174
01/30/22 02:13:20, rho: x^2 + 2, starting 1000 iterations on C174
01/30/22 02:13:20, rho: x^2 + 1, starting 1000 iterations on C174
01/30/22 02:13:20, nfs: input divides 10^185 + 1340
01/30/22 02:13:20, nfs: using supplied cofactor: 738057181557892359434065293173574934214302711605537801686000614057375375841356753323077771951687236852455913029964485218348490578230746851751368072792410519386888453759011261
01/30/22 02:13:20, nfs: input divides 10^185 + 1340
01/30/22 02:13:20, nfs: using supplied cofactor: 738057181557892359434065293173574934214302711605537801686000614057375375841356753323077771951687236852455913029964485218348490578230746851751368072792410519386888453759011261
01/30/22 02:13:20, nfs: commencing snfs on c174: 738057181557892359434065293173574934214302711605537801686000614057375375841356753323077771951687236852455913029964485218348490578230746851751368072792410519386888453759011261
01/30/22 02:13:20, pm1: starting B1 = 150K, B2 = gmp-ecm default on C174
01/30/22 02:13:20, nfs: input divides 10^185 + 1340
01/30/22 02:13:20, nfs: using supplied cofactor: 738057181557892359434065293173574934214302711605537801686000614057375375841356753323077771951687236852455913029964485218348490578230746851751368072792410519386888453759011261
01/30/22 02:13:20, nfs: commencing snfs on c174: 738057181557892359434065293173574934214302711605537801686000614057375375841356753323077771951687236852455913029964485218348490578230746851751368072792410519386888453759011261
01/30/22 02:13:20, current ECM pretesting depth: 0.00
01/30/22 02:13:20, scheduled 30 curves at B1=2000 toward target pretesting depth of 41.64
01/30/22 02:13:20, ecm: commencing 48 curves using AVX-ECM method on 738057181557892359434065293173574934214302711605537801686000614057375375841356753323077771951687236852455913029964485218348490578230746851751368072792410519386888453759011261, B1=2k, B2=200k
01/30/22 02:13:21, ecm: finished 0 curves using AVX-ECM method on C174 input, B1=2k, B2=200k
01/30/22 02:13:21, prp12 = 648550161689 (curve=14 stg=2 B1=2000 B2=200000 sigma=2115152142 thread=1 vecpos=6)
01/30/22 02:13:21, nfs: input divides 10^185 + 1340
01/30/22 02:13:21, nfs: using supplied cofactor: 1138010943726838145378663796226666234092770005982034237077891997795229580338418222164172150873265491180374542543188768718987996567389669057255674773231997702996549
01/30/22 02:13:21, nfs: commencing snfs on c163: 1138010943726838145378663796226666234092770005982034237077891997795229580338418222164172150873265491180374542543188768718987996567389669057255674773231997702996549
01/30/22 02:13:21, current ECM pretesting depth: 0.00
01/30/22 02:13:21, scheduled 30 curves at B1=2000 toward target pretesting depth of 39.01
01/30/22 02:13:21, ecm: commencing 48 curves using AVX-ECM method on 1138010943726838145378663796226666234092770005982034237077891997795229580338418222164172150873265491180374542543188768718987996567389669057255674773231997702996549, B1=2k, B2=200k
01/30/22 02:13:21, ecm: finished 384 curves using AVX-ECM method on C163 input, B1=2k, B2=200k
01/30/22 02:13:21, nfs: input divides 10^185 + 1340
01/30/22 02:13:21, nfs: using supplied cofactor: 1138010943726838145378663796226666234092770005982034237077891997795229580338418222164172150873265491180374542543188768718987996567389669057255674773231997702996549
01/30/22 02:13:21, nfs: commencing snfs on c163: 1138010943726838145378663796226666234092770005982034237077891997795229580338418222164172150873265491180374542543188768718987996567389669057255674773231997702996549
01/30/22 02:13:21, current ECM pretesting depth: 17.27
01/30/22 02:13:21, scheduled 74 curves at B1=11000 toward target pretesting depth of 39.01
01/30/22 02:13:21, ecm: commencing 96 curves using AVX-ECM method on 1138010943726838145378663796226666234092770005982034237077891997795229580338418222164172150873265491180374542543188768718987996567389669057255674773231997702996549, B1=11k, B2=1100k
01/30/22 02:13:21, ecm: finished 384 curves using AVX-ECM method on C163 input, B1=11k, B2=1100k
01/30/22 02:13:22, nfs: input divides 10^185 + 1340
01/30/22 02:13:22, nfs: using supplied cofactor: 1138010943726838145378663796226666234092770005982034237077891997795229580338418222164172150873265491180374542543188768718987996567389669057255674773231997702996549
01/30/22 02:13:22, nfs: commencing snfs on c163: 1138010943726838145378663796226666234092770005982034237077891997795229580338418222164172150873265491180374542543188768718987996567389669057255674773231997702996549
01/30/22 02:13:22, current ECM pretesting depth: 21.28
01/30/22 02:13:22, scheduled 214 curves at B1=50000 toward target pretesting depth of 39.01
01/30/22 02:13:22, ecm: commencing 240 curves using AVX-ECM method on 1138010943726838145378663796226666234092770005982034237077891997795229580338418222164172150873265491180374542543188768718987996567389669057255674773231997702996549, B1=50k, B2=5M
01/30/22 02:13:23, ecm: finished 384 curves using AVX-ECM method on C163 input, B1=50k, B2=5M
01/30/22 02:13:23, nfs: input divides 10^185 + 1340
01/30/22 02:13:23, nfs: using supplied cofactor: 1138010943726838145378663796226666234092770005982034237077891997795229580338418222164172150873265491180374542543188768718987996567389669057255674773231997702996549
01/30/22 02:13:23, nfs: commencing snfs on c163: 1138010943726838145378663796226666234092770005982034237077891997795229580338418222164172150873265491180374542543188768718987996567389669057255674773231997702996549
01/30/22 02:13:23, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C163
01/30/22 02:13:24, nfs: input divides 10^185 + 1340
01/30/22 02:13:24, nfs: using supplied cofactor: 1138010943726838145378663796226666234092770005982034237077891997795229580338418222164172150873265491180374542543188768718987996567389669057255674773231997702996549
01/30/22 02:13:24, nfs: commencing snfs on c163: 1138010943726838145378663796226666234092770005982034237077891997795229580338418222164172150873265491180374542543188768718987996567389669057255674773231997702996549
01/30/22 02:13:24, current ECM pretesting depth: 25.62
01/30/22 02:13:24, scheduled 430 curves at B1=250000 toward target pretesting depth of 39.01
01/30/22 02:13:26, ecm: commencing 432 curves using AVX-ECM method on 1138010943726838145378663796226666234092770005982034237077891997795229580338418222164172150873265491180374542543188768718987996567389669057255674773231997702996549, B1=250k, B2=25M
01/30/22 02:13:29, ecm: finished 0 curves using AVX-ECM method on C163 input, B1=250k, B2=25M
01/30/22 02:13:30, prp29 = 10369002253509827484424520713 (curve=114 stg=2 B1=250000 B2=25000000 sigma=1002229584 thread=14 vecpos=2)
01/30/22 02:13:30, nfs: input divides 10^185 + 1340
01/30/22 02:13:30, nfs: using supplied cofactor: 109751248567973856568975267987109020661976256501733568626867636428959458358727275010622259887157067491829648710371810787738927827956573
01/30/22 02:13:30, nfs: commencing snfs on c135: 109751248567973856568975267987109020661976256501733568626867636428959458358727275010622259887157067491829648710371810787738927827956573
01/30/22 02:13:30, current ECM pretesting depth: 25.62
01/30/22 02:13:30, scheduled 430 curves at B1=250000 toward target pretesting depth of 32.31
01/30/22 02:13:31, ecm: commencing 432 curves using AVX-ECM method on 109751248567973856568975267987109020661976256501733568626867636428959458358727275010622259887157067491829648710371810787738927827956573, B1=250k, B2=25M
01/30/22 02:13:38, ecm: finished 768 curves using AVX-ECM method on C135 input, B1=250k, B2=25M
01/30/22 02:13:39, nfs: input divides 10^185 + 1340
01/30/22 02:13:39, nfs: using supplied cofactor: 109751248567973856568975267987109020661976256501733568626867636428959458358727275010622259887157067491829648710371810787738927827956573
01/30/22 02:13:39, nfs: commencing snfs on c135: 109751248567973856568975267987109020661976256501733568626867636428959458358727275010622259887157067491829648710371810787738927827956573
01/30/22 02:13:39, pm1: starting B1 = 15M, B2 = gmp-ecm default on C135
01/30/22 02:13:42, nfs: input divides 10^185 + 1340
01/30/22 02:13:42, nfs: using supplied cofactor: 109751248567973856568975267987109020661976256501733568626867636428959458358727275010622259887157067491829648710371810787738927827956573
01/30/22 02:13:42, nfs: commencing snfs on c135: 109751248567973856568975267987109020661976256501733568626867636428959458358727275010622259887157067491829648710371810787738927827956573
01/30/22 02:13:42, current ECM pretesting depth: 30.81
01/30/22 02:13:42, scheduled 271 curves at B1=1000000 toward target pretesting depth of 32.31
01/30/22 02:13:44, ecm: commencing 288 curves using AVX-ECM method on 109751248567973856568975267987109020661976256501733568626867636428959458358727275010622259887157067491829648710371810787738927827956573, B1=1M, B2=100M
01/30/22 02:13:58, ecm: finished 384 curves using AVX-ECM method on C135 input, B1=1M, B2=100M
01/30/22 02:13:59, nfs: input divides 10^185 + 1340
01/30/22 02:13:59, nfs: using supplied cofactor: 109751248567973856568975267987109020661976256501733568626867636428959458358727275010622259887157067491829648710371810787738927827956573
01/30/22 02:13:59, nfs: commencing snfs on c135: 109751248567973856568975267987109020661976256501733568626867636428959458358727275010622259887157067491829648710371810787738927827956573
01/30/22 02:13:59, final ECM pretested depth: 32.93
01/30/22 02:13:59, scheduler: switching to sieve method
01/30/22 02:13:59, nfs: commencing nfs on c135: 109751248567973856568975267987109020661976256501733568626867636428959458358727275010622259887157067491829648710371810787738927827956573
01/30/22 02:13:59, nfs: input divides 10^185 + 1340
01/30/22 02:13:59, nfs: using supplied cofactor: 109751248567973856568975267987109020661976256501733568626867636428959458358727275010622259887157067491829648710371810787738927827956573
01/30/22 02:13:59, nfs: commencing snfs on c135: 109751248567973856568975267987109020661976256501733568626867636428959458358727275010622259887157067491829648710371810787738927827956573
01/30/22 02:14:00, test: fb generation took 1.1854 seconds
01/30/22 02:14:00, test: commencing test sieving of polynomial 0 on the algebraic side over range 10500000-10501000
skew: 2.0000
c5: 1
c0: 1340
Y1: -1
Y0: 10000000000000000000000000000000000000
rlim: 10500000
alim: 10500000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/30/22 02:15:01, nfs: parsing special-q from .dat file
01/30/22 02:15:01, test: new best estimated total sieving time = 2h 13m 46s (with 48 threads)
01/30/22 02:15:03, test: fb generation took 1.9682 seconds
01/30/22 02:15:03, test: commencing test sieving of polynomial 1 on the algebraic side over range 11000000-11001000
skew: 2.9729
c6: 8
c0: 1675
Y1: -1
Y0: 5000000000000000000000000000000
rlim: 11000000
alim: 11000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/30/22 02:16:09, nfs: parsing special-q from .dat file
01/30/22 02:16:09, test: new best estimated total sieving time = 1h 59m 53s (with 48 threads)
01/30/22 02:16:09, nfs: commencing lattice sieving with 48 threads
01/30/22 02:19:19, nfs: commencing lattice sieving with 48 threads
01/30/22 02:22:15, nfs: commencing lattice sieving with 48 threads
01/30/22 02:25:29, nfs: commencing lattice sieving with 48 threads
01/30/22 02:28:37, nfs: commencing lattice sieving with 48 threads
01/30/22 02:31:35, nfs: commencing lattice sieving with 48 threads
01/30/22 02:34:44, nfs: commencing lattice sieving with 48 threads
01/30/22 02:37:51, nfs: commencing lattice sieving with 48 threads
01/30/22 02:40:53, nfs: commencing lattice sieving with 48 threads
01/30/22 02:43:51, nfs: commencing lattice sieving with 48 threads
01/30/22 02:47:19, nfs: commencing lattice sieving with 48 threads
01/30/22 02:50:26, nfs: commencing lattice sieving with 48 threads
01/30/22 02:53:32, nfs: commencing lattice sieving with 48 threads
01/30/22 02:56:41, nfs: commencing lattice sieving with 48 threads
01/30/22 03:00:05, nfs: commencing lattice sieving with 48 threads
01/30/22 03:02:53, nfs: commencing lattice sieving with 48 threads
01/30/22 03:06:11, nfs: commencing lattice sieving with 48 threads
01/30/22 03:09:07, nfs: commencing lattice sieving with 48 threads
01/30/22 03:12:18, nfs: commencing lattice sieving with 48 threads
01/30/22 03:15:28, nfs: commencing lattice sieving with 48 threads
01/30/22 03:18:38, nfs: commencing lattice sieving with 48 threads
01/30/22 03:21:37, nfs: commencing lattice sieving with 48 threads
01/30/22 03:24:43, nfs: commencing lattice sieving with 48 threads
01/30/22 03:28:17, nfs: commencing lattice sieving with 48 threads
01/30/22 03:31:22, nfs: commencing lattice sieving with 48 threads
01/30/22 03:34:32, nfs: commencing lattice sieving with 48 threads
01/30/22 03:37:30, nfs: commencing lattice sieving with 48 threads
01/30/22 03:40:34, nfs: commencing lattice sieving with 48 threads
01/30/22 03:43:31, nfs: commencing lattice sieving with 48 threads
01/30/22 03:46:22, nfs: commencing lattice sieving with 48 threads
01/30/22 03:49:27, nfs: commencing lattice sieving with 48 threads
01/30/22 03:52:29, nfs: commencing lattice sieving with 48 threads
01/30/22 03:55:42, nfs: commencing lattice sieving with 48 threads
01/30/22 03:58:50, nfs: commencing lattice sieving with 48 threads
01/30/22 04:02:05, nfs: commencing lattice sieving with 48 threads
01/30/22 04:05:05, nfs: commencing lattice sieving with 48 threads
01/30/22 04:08:17, nfs: commencing lattice sieving with 48 threads
01/30/22 04:11:13, nfs: commencing lattice sieving with 48 threads
01/30/22 04:14:14, nfs: commencing lattice sieving with 48 threads
01/30/22 04:17:27, nfs: commencing lattice sieving with 48 threads
01/30/22 04:20:44, nfs: commencing lattice sieving with 48 threads
01/30/22 04:23:55, nfs: commencing lattice sieving with 48 threads
01/30/22 04:27:10, nfs: commencing lattice sieving with 48 threads
01/30/22 04:30:15, nfs: commencing msieve filtering
01/30/22 04:32:17, nfs: raising min_rels by 5.00 percent to 10682277
01/30/22 04:32:17, nfs: commencing lattice sieving with 48 threads
01/30/22 04:35:29, nfs: commencing lattice sieving with 48 threads
01/30/22 04:38:53, nfs: commencing lattice sieving with 48 threads
01/30/22 04:42:15, nfs: commencing msieve filtering
01/30/22 04:44:26, nfs: raising min_rels by 5.00 percent to 11391126
01/30/22 04:44:26, nfs: commencing lattice sieving with 48 threads
01/30/22 04:47:52, nfs: commencing lattice sieving with 48 threads
01/30/22 04:51:12, nfs: commencing lattice sieving with 48 threads
01/30/22 04:54:33, nfs: commencing msieve filtering
01/30/22 04:56:50, nfs: raising min_rels by 5.00 percent to 12111156
01/30/22 04:56:50, nfs: commencing lattice sieving with 48 threads
01/30/22 04:59:56, nfs: commencing lattice sieving with 48 threads
01/30/22 05:02:57, nfs: commencing lattice sieving with 48 threads
01/30/22 05:06:21, nfs: commencing msieve filtering
01/30/22 05:08:46, nfs: raising min_rels by 5.00 percent to 12807040
01/30/22 05:08:46, nfs: commencing lattice sieving with 48 threads
01/30/22 05:12:14, nfs: commencing lattice sieving with 48 threads
01/30/22 05:15:32, nfs: commencing lattice sieving with 48 threads
01/30/22 05:18:54, nfs: commencing msieve filtering
01/30/22 05:22:39, nfs: commencing msieve linear algebra
01/30/22 05:38:25, nfs: commencing msieve sqrt
01/30/22 05:40:02, prp83 = 14086509841917890167402258485125287304854472065317064587473265849727554735779099591
01/30/22 05:40:02, prp52 = 7791230744849366586000730273081979415193263328335803
01/30/22 05:40:02, NFS elapsed time = 12363.4018 seconds.
01/30/22 05:40:02, 
01/30/22 05:40:02, 

YAFU Version 2.07
Built with GCC 9
Using GMP-ECM 7.0.5-dev, Powered by GMP 6.2.1
Detected Intel(R) Xeon(R) Gold 6248R CPU @ 3.00GHz
Detected L1 = 32768 bytes, L2 = 37486592 bytes, CL = 64 bytes
Using 1 random witness for Rabin-Miller PRP checks
Cached 664579 primes; max prime is 9999991

Ubuntu 20.04.3 LTS

34716423489217652452313481786868084079158427802268253845597876136103136670910708511165092276604742169587704369423234403<119>

53600946031584938514984623635866232627549<41>
647683036578507841350090624475056698151660476290843093119180357876711025280447<78>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2600984776
Step 1 took 4828ms
Step 2 took 2875ms
********** Factor found in step 2: 53600946031584938514984623635866232627549
Found prime factor of 41 digits: 53600946031584938514984623635866232627549
Prime cofactor 647683036578507841350090624475056698151660476290843093119180357876711025280447 has 78 digits
 

GMP-ECM

444846585757969649007146905246787540380948822179694888623760323777138978080629333361803514821843390869790735269127735917714057952833806205253994055070227930493610668488758281931310349<183>

123564318241454830753261552588912434192416196776347<51>
261854250360695570393076198094024877601851159323468898352714930173<66>
13748570870037047875727100680409331455664544273283972141108279118979<68>

Number: n
N=444846585757969649007146905246787540380948822179694888623760323777138978080629333361803514821843390869790735269127735917714057952833806205253994055070227930493610668488758281931310349  ( 183 digits)
SNFS difficulty: 189 digits.
Divisors found:

Mon Jan 10 05:31:24 2022  found factor: 261854250360695570393076198094024877601851159323468898352714930173
Mon Jan 10 05:32:34 2022  p51 factor: 123564318241454830753261552588912434192416196776347
Mon Jan 10 05:32:34 2022  p66 factor: 261854250360695570393076198094024877601851159323468898352714930173
Mon Jan 10 05:32:34 2022  p68 factor: 13748570870037047875727100680409331455664544273283972141108279118979
Mon Jan 10 05:32:34 2022  elapsed time 00:34:40 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 10^189+134 = 2(187)52
#
n: 444846585757969649007146905246787540380948822179694888623760323777138978080629333361803514821843390869790735269127735917714057952833806205253994055070227930493610668488758281931310349
m: 50000000000000000000000000000000000000
deg: 5
c5: 8
c0: 335
skew: 2.11
# Murphy_E = 3.709e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 25000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3673490 hash collisions in 30865965 relations (28999892 unique)
Msieve: matrix is 1204503 x 1204729 (414.1 MB)

Sieving start time : 2022/01/09 19:57:24
Sieving end time  : 2022/01/10 04:56:30

Total sieving time: 8hrs 59min 6secs.

Total relation processing time: 0hrs 24min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 21sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

54537695616974045300075757286630806909400446398350371133426369427048915388669641400329742557797714549347113164994875821195494434893448618439385767052969349372784641720859<170>

603273365210643676825285380359507690984851153<45>
90402956208635589619332018154853446970060918578252247701747373391032904729703714413933776680410851354362954886187266022165803<125>

Number: n
N=54537695616974045300075757286630806909400446398350371133426369427048915388669641400329742557797714549347113164994875821195494434893448618439385767052969349372784641720859  ( 170 digits)
SNFS difficulty: 190 digits.
Divisors found:

Sun Jan 16 16:05:31 2022  p45 factor: 603273365210643676825285380359507690984851153
Sun Jan 16 16:05:31 2022  p125 factor: 90402956208635589619332018154853446970060918578252247701747373391032904729703714413933776680410851354362954886187266022165803
Sun Jan 16 16:05:31 2022  elapsed time 00:39:11 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 10^190+134 = 2(188)52
#
n: 54537695616974045300075757286630806909400446398350371133426369427048915388669641400329742557797714549347113164994875821195494434893448618439385767052969349372784641720859
m: 100000000000000000000000000000000000000
deg: 5
c5: 1
c0: 134
skew: 2.66
# Murphy_E = 3.74e-11
type: snfs
lss: 1
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3666009 hash collisions in 29627468 relations (27629053 unique)
Msieve: matrix is 1233350 x 1233575 (425.7 MB)

Sieving start time : 2022/01/16 11:01:16
Sieving end time  : 2022/01/16 15:25:02

Total sieving time: 4hrs 23min 46secs.

Total relation processing time: 0hrs 26min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 24sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10300000,10300000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119057] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221988K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505248K reserved, 0K cma-reserved)
[    0.152620] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.150211] smpboot: Total of 16 processors activated (102388.60 BogoMIPS

4252989838643077520838439140872872397500153967176412474087218922941611300077702276793369432733400850577878350973086702140439649155120177169133<142>

17963369301328297977016237004508656571882431005446262031<56>
236759027067855860656601526421056698940576385603375334438925543248922266459036936267843<87>

02/01/22 07:14:54, 
02/01/22 07:14:54, ****************************
02/01/22 07:14:54, Starting factorization of 22222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222252
02/01/22 07:14:54, using pretesting plan: normal
02/01/22 07:14:54, using specified qs/gnfs crossover of 100 digits
02/01/22 07:14:54, using specified qs/snfs crossover of 75 digits
02/01/22 07:14:54, ****************************
02/01/22 07:14:54, div: found prime factor = 2
02/01/22 07:14:54, div: found prime factor = 2
02/01/22 07:14:54, div: found prime factor = 29
02/01/22 07:14:54, div: found prime factor = 131
02/01/22 07:14:54, div: found prime factor = 1091
02/01/22 07:14:54, div: found prime factor = 1543
02/01/22 07:14:54, rho: x^2 + 3, starting 1000 iterations on C180
02/01/22 07:14:54, prp5 = 12437
02/01/22 07:14:54, rho: x^2 + 3, starting 1000 iterations on C176
02/01/22 07:14:55, rho: x^2 + 2, starting 1000 iterations on C176
02/01/22 07:14:55, rho: x^2 + 1, starting 1000 iterations on C176
02/01/22 07:14:55, nfs: input divides 10^192 + 1340
02/01/22 07:14:55, nfs: using supplied cofactor: 69847664692442941675330377956392978168246087750221124626840021538724795757880449931980743532599511266572336354983611191810716973873839998965289275313464556781040688017443089077
02/01/22 07:14:55, nfs: input divides 10^192 + 1340
02/01/22 07:14:55, nfs: using supplied cofactor: 69847664692442941675330377956392978168246087750221124626840021538724795757880449931980743532599511266572336354983611191810716973873839998965289275313464556781040688017443089077
02/01/22 07:14:55, nfs: commencing snfs on c176: 69847664692442941675330377956392978168246087750221124626840021538724795757880449931980743532599511266572336354983611191810716973873839998965289275313464556781040688017443089077
02/01/22 07:14:55, pm1: starting B1 = 150K, B2 = gmp-ecm default on C176
02/01/22 07:14:55, nfs: input divides 10^192 + 1340
02/01/22 07:14:55, nfs: using supplied cofactor: 69847664692442941675330377956392978168246087750221124626840021538724795757880449931980743532599511266572336354983611191810716973873839998965289275313464556781040688017443089077
02/01/22 07:14:55, nfs: commencing snfs on c176: 69847664692442941675330377956392978168246087750221124626840021538724795757880449931980743532599511266572336354983611191810716973873839998965289275313464556781040688017443089077
02/01/22 07:14:55, current ECM pretesting depth: 0.00
02/01/22 07:14:55, scheduled 30 curves at B1=2000 toward target pretesting depth of 42.12
02/01/22 07:14:55, ecm: commencing 48 curves using AVX-ECM method on 69847664692442941675330377956392978168246087750221124626840021538724795757880449931980743532599511266572336354983611191810716973873839998965289275313464556781040688017443089077, B1=2k, B2=200k
02/01/22 07:14:55, ecm: finished 384 curves using AVX-ECM method on C176 input, B1=2k, B2=200k
02/01/22 07:14:55, nfs: input divides 10^192 + 1340
02/01/22 07:14:55, nfs: using supplied cofactor: 69847664692442941675330377956392978168246087750221124626840021538724795757880449931980743532599511266572336354983611191810716973873839998965289275313464556781040688017443089077
02/01/22 07:14:55, nfs: commencing snfs on c176: 69847664692442941675330377956392978168246087750221124626840021538724795757880449931980743532599511266572336354983611191810716973873839998965289275313464556781040688017443089077
02/01/22 07:14:55, current ECM pretesting depth: 17.27
02/01/22 07:14:55, scheduled 74 curves at B1=11000 toward target pretesting depth of 42.12
02/01/22 07:14:55, ecm: commencing 96 curves using AVX-ECM method on 69847664692442941675330377956392978168246087750221124626840021538724795757880449931980743532599511266572336354983611191810716973873839998965289275313464556781040688017443089077, B1=11k, B2=1100k
02/01/22 07:14:56, ecm: finished 384 curves using AVX-ECM method on C176 input, B1=11k, B2=1100k
02/01/22 07:14:56, nfs: input divides 10^192 + 1340
02/01/22 07:14:56, nfs: using supplied cofactor: 69847664692442941675330377956392978168246087750221124626840021538724795757880449931980743532599511266572336354983611191810716973873839998965289275313464556781040688017443089077
02/01/22 07:14:56, nfs: commencing snfs on c176: 69847664692442941675330377956392978168246087750221124626840021538724795757880449931980743532599511266572336354983611191810716973873839998965289275313464556781040688017443089077
02/01/22 07:14:56, current ECM pretesting depth: 21.28
02/01/22 07:14:56, scheduled 214 curves at B1=50000 toward target pretesting depth of 42.12
02/01/22 07:14:56, ecm: commencing 240 curves using AVX-ECM method on 69847664692442941675330377956392978168246087750221124626840021538724795757880449931980743532599511266572336354983611191810716973873839998965289275313464556781040688017443089077, B1=50k, B2=5M
02/01/22 07:14:57, ecm: finished 384 curves using AVX-ECM method on C176 input, B1=50k, B2=5M
02/01/22 07:14:57, nfs: input divides 10^192 + 1340
02/01/22 07:14:57, nfs: using supplied cofactor: 69847664692442941675330377956392978168246087750221124626840021538724795757880449931980743532599511266572336354983611191810716973873839998965289275313464556781040688017443089077
02/01/22 07:14:57, nfs: commencing snfs on c176: 69847664692442941675330377956392978168246087750221124626840021538724795757880449931980743532599511266572336354983611191810716973873839998965289275313464556781040688017443089077
02/01/22 07:14:57, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C176
02/01/22 07:14:59, nfs: input divides 10^192 + 1340
02/01/22 07:14:59, nfs: using supplied cofactor: 69847664692442941675330377956392978168246087750221124626840021538724795757880449931980743532599511266572336354983611191810716973873839998965289275313464556781040688017443089077
02/01/22 07:14:59, nfs: commencing snfs on c176: 69847664692442941675330377956392978168246087750221124626840021538724795757880449931980743532599511266572336354983611191810716973873839998965289275313464556781040688017443089077
02/01/22 07:14:59, current ECM pretesting depth: 25.62
02/01/22 07:14:59, scheduled 430 curves at B1=250000 toward target pretesting depth of 42.12
02/01/22 07:15:00, ecm: commencing 432 curves using AVX-ECM method on 69847664692442941675330377956392978168246087750221124626840021538724795757880449931980743532599511266572336354983611191810716973873839998965289275313464556781040688017443089077, B1=250k, B2=25M
02/01/22 07:15:06, ecm: finished 768 curves using AVX-ECM method on C176 input, B1=250k, B2=25M
02/01/22 07:15:07, nfs: input divides 10^192 + 1340
02/01/22 07:15:07, nfs: using supplied cofactor: 69847664692442941675330377956392978168246087750221124626840021538724795757880449931980743532599511266572336354983611191810716973873839998965289275313464556781040688017443089077
02/01/22 07:15:07, nfs: commencing snfs on c176: 69847664692442941675330377956392978168246087750221124626840021538724795757880449931980743532599511266572336354983611191810716973873839998965289275313464556781040688017443089077
02/01/22 07:15:07, pm1: starting B1 = 15M, B2 = gmp-ecm default on C176
02/01/22 07:15:12, nfs: input divides 10^192 + 1340
02/01/22 07:15:12, nfs: using supplied cofactor: 69847664692442941675330377956392978168246087750221124626840021538724795757880449931980743532599511266572336354983611191810716973873839998965289275313464556781040688017443089077
02/01/22 07:15:12, nfs: commencing snfs on c176: 69847664692442941675330377956392978168246087750221124626840021538724795757880449931980743532599511266572336354983611191810716973873839998965289275313464556781040688017443089077
02/01/22 07:15:12, current ECM pretesting depth: 30.81
02/01/22 07:15:12, scheduled 904 curves at B1=1000000 toward target pretesting depth of 42.12
02/01/22 07:15:13, ecm: commencing 912 curves using AVX-ECM method on 69847664692442941675330377956392978168246087750221124626840021538724795757880449931980743532599511266572336354983611191810716973873839998965289275313464556781040688017443089077, B1=1M, B2=100M
02/01/22 07:15:40, ecm: finished 384 curves using AVX-ECM method on C176 input, B1=1M, B2=100M
02/01/22 07:15:41, prp35 = 16423191059099247413905721703163369 (curve=565 stg=2 B1=1000000 B2=100000000 sigma=4233991622 thread=22 vecpos=5)
02/01/22 07:15:41, nfs: input divides 10^192 + 1340
02/01/22 07:15:41, nfs: using supplied cofactor: 4252989838643077520838439140872872397500153967176412474087218922941611300077702276793369432733400850577878350973086702140439649155120177169133
02/01/22 07:15:41, nfs: commencing snfs on c142: 4252989838643077520838439140872872397500153967176412474087218922941611300077702276793369432733400850577878350973086702140439649155120177169133
02/01/22 07:15:41, current ECM pretesting depth: 32.93
02/01/22 07:15:41, scheduled 520 curves at B1=1000000 toward target pretesting depth of 33.98
02/01/22 07:15:42, ecm: commencing 528 curves using AVX-ECM method on 4252989838643077520838439140872872397500153967176412474087218922941611300077702276793369432733400850577878350973086702140439649155120177169133, B1=1M, B2=100M
02/01/22 07:16:09, ecm: finished 768 curves using AVX-ECM method on C142 input, B1=1M, B2=100M
02/01/22 07:16:10, nfs: input divides 10^192 + 1340
02/01/22 07:16:10, nfs: using supplied cofactor: 4252989838643077520838439140872872397500153967176412474087218922941611300077702276793369432733400850577878350973086702140439649155120177169133
02/01/22 07:16:10, nfs: commencing snfs on c142: 4252989838643077520838439140872872397500153967176412474087218922941611300077702276793369432733400850577878350973086702140439649155120177169133
02/01/22 07:16:10, final ECM pretested depth: 35.72
02/01/22 07:16:10, scheduler: switching to sieve method
02/01/22 07:16:10, nfs: commencing nfs on c142: 4252989838643077520838439140872872397500153967176412474087218922941611300077702276793369432733400850577878350973086702140439649155120177169133
02/01/22 07:16:10, nfs: input divides 10^192 + 1340
02/01/22 07:16:10, nfs: using supplied cofactor: 4252989838643077520838439140872872397500153967176412474087218922941611300077702276793369432733400850577878350973086702140439649155120177169133
02/01/22 07:16:10, nfs: commencing snfs on c142: 4252989838643077520838439140872872397500153967176412474087218922941611300077702276793369432733400850577878350973086702140439649155120177169133
02/01/22 07:16:11, test: fb generation took 1.5018 seconds
02/01/22 07:16:11, test: commencing test sieving of polynomial 0 on the rational side over range 13000000-13001000
skew: 2.3190
c5: 5
c0: 67
Y1: -1
Y0: 100000000000000000000000000000000000000
rlim: 13000000
alim: 13000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/01/22 07:17:32, nfs: parsing special-q from .dat file
02/01/22 07:17:32, test: new best estimated total sieving time = 1h 51m 30s (with 48 threads)
02/01/22 07:17:33, test: fb generation took 1.4919 seconds
02/01/22 07:17:33, test: commencing test sieving of polynomial 1 on the rational side over range 13000000-13001000
skew: 4.4699
c5: 5
c0: 2144
Y1: -1
Y0: 200000000000000000000000000000000000000
rlim: 13000000
alim: 13000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/01/22 07:18:53, nfs: parsing special-q from .dat file
02/01/22 07:18:53, test: estimated total sieving time = 1h 59m 42s (with 48 threads)
02/01/22 07:18:55, test: fb generation took 2.3059 seconds
02/01/22 07:18:55, test: commencing test sieving of polynomial 2 on the algebraic side over range 13000000-13001000
skew: 2.0000
c6: 1
c0: 1340
Y1: -1
Y0: 100000000000000000000000000000000
rlim: 13000000
alim: 13000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/01/22 07:20:21, nfs: parsing special-q from .dat file
02/01/22 07:20:21, test: estimated total sieving time = 3h 6m 13s (with 48 threads)
02/01/22 07:20:21, nfs: commencing lattice sieving with 48 threads
02/01/22 07:23:04, nfs: commencing lattice sieving with 48 threads
02/01/22 07:25:44, nfs: commencing lattice sieving with 48 threads
02/01/22 07:28:20, nfs: commencing lattice sieving with 48 threads
02/01/22 07:31:04, nfs: commencing lattice sieving with 48 threads
02/01/22 07:33:47, nfs: commencing lattice sieving with 48 threads
02/01/22 07:36:36, nfs: commencing lattice sieving with 48 threads
02/01/22 07:39:10, nfs: commencing lattice sieving with 48 threads
02/01/22 07:41:52, nfs: commencing lattice sieving with 48 threads
02/01/22 07:44:31, nfs: commencing lattice sieving with 48 threads
02/01/22 07:47:06, nfs: commencing lattice sieving with 48 threads
02/01/22 07:49:47, nfs: commencing lattice sieving with 48 threads
02/01/22 07:52:30, nfs: commencing lattice sieving with 48 threads
02/01/22 07:55:11, nfs: commencing lattice sieving with 48 threads
02/01/22 07:57:55, nfs: commencing lattice sieving with 48 threads
02/01/22 08:00:35, nfs: commencing lattice sieving with 48 threads
02/01/22 08:03:24, nfs: commencing lattice sieving with 48 threads
02/01/22 08:06:12, nfs: commencing lattice sieving with 48 threads
02/01/22 08:08:52, nfs: commencing lattice sieving with 48 threads
02/01/22 08:11:32, nfs: commencing lattice sieving with 48 threads
02/01/22 08:14:23, nfs: commencing lattice sieving with 48 threads
02/01/22 08:17:12, nfs: commencing lattice sieving with 48 threads
02/01/22 08:19:59, nfs: commencing lattice sieving with 48 threads
02/01/22 08:22:50, nfs: commencing lattice sieving with 48 threads
02/01/22 08:25:41, nfs: commencing lattice sieving with 48 threads
02/01/22 08:28:25, nfs: commencing lattice sieving with 48 threads
02/01/22 08:31:10, nfs: commencing lattice sieving with 48 threads
02/01/22 08:33:56, nfs: commencing lattice sieving with 48 threads
02/01/22 08:36:39, nfs: commencing lattice sieving with 48 threads
02/01/22 08:39:23, nfs: commencing lattice sieving with 48 threads
02/01/22 08:42:20, nfs: commencing lattice sieving with 48 threads
02/01/22 08:45:02, nfs: commencing lattice sieving with 48 threads
02/01/22 08:47:43, nfs: commencing lattice sieving with 48 threads
02/01/22 08:50:32, nfs: commencing lattice sieving with 48 threads
02/01/22 08:53:18, nfs: commencing lattice sieving with 48 threads
02/01/22 08:56:02, nfs: commencing lattice sieving with 48 threads
02/01/22 08:58:50, nfs: commencing lattice sieving with 48 threads
02/01/22 09:01:30, nfs: commencing lattice sieving with 48 threads
02/01/22 09:04:20, nfs: commencing lattice sieving with 48 threads
02/01/22 09:07:07, nfs: commencing msieve filtering
02/01/22 09:09:07, nfs: raising min_rels by 5.00 percent to 10735328
02/01/22 09:09:07, nfs: commencing lattice sieving with 48 threads
02/01/22 09:11:47, nfs: commencing lattice sieving with 48 threads
02/01/22 09:14:31, nfs: commencing lattice sieving with 48 threads
02/01/22 09:17:19, nfs: commencing msieve filtering
02/01/22 09:19:27, nfs: raising min_rels by 5.00 percent to 11537004
02/01/22 09:19:27, nfs: commencing lattice sieving with 48 threads
02/01/22 09:22:12, nfs: commencing lattice sieving with 48 threads
02/01/22 09:24:54, nfs: commencing lattice sieving with 48 threads
02/01/22 09:27:39, nfs: commencing msieve filtering
02/01/22 09:29:55, nfs: raising min_rels by 5.00 percent to 12335817
02/01/22 09:29:55, nfs: commencing lattice sieving with 48 threads
02/01/22 09:32:50, nfs: commencing lattice sieving with 48 threads
02/01/22 09:35:37, nfs: commencing lattice sieving with 48 threads
02/01/22 09:38:30, nfs: commencing msieve filtering
02/01/22 09:42:08, nfs: commencing msieve linear algebra
02/01/22 10:02:05, nfs: commencing msieve sqrt
02/01/22 10:06:44, prp87 = 236759027067855860656601526421056698940576385603375334438925543248922266459036936267843
02/01/22 10:06:44, prp56 = 17963369301328297977016237004508656571882431005446262031
02/01/22 10:06:45, NFS elapsed time = 10234.8327 seconds.
02/01/22 10:06:45, 
02/01/22 10:06:45, 
02/01/22 10:06:45, Total factoring time = 10310.1796 seconds

YAFU Version 2.07
Built with GCC 9
Using GMP-ECM 7.0.5-dev, Powered by GMP 6.2.1
Detected Intel(R) Xeon(R) Gold 6248R CPU @ 3.00GHz
Detected L1 = 32768 bytes, L2 = 37486592 bytes, CL = 64 bytes
Using 1 random witness for Rabin-Miller PRP checks
Cached 664579 primes; max prime is 9999991

Ubuntu 20.04.3 LTS

244882904388765991535096024959188455755158974178490164241551957022396406540745137837086721884911734319329653969534112175525166650203<132>

41850248221772897432965669001986115117<38>

5851408648548083669235929156542111160983175161483077667692925695984074196982250143054328609959<94>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3313649648
Step 1 took 2297ms
********** Factor found in step 1: 41850248221772897432965669001986115117
Found prime factor of 38 digits: 41850248221772897432965669001986115117
Composite cofactor 5851408648548083669235929156542111160983175161483077667692925695984074196982250143054328609959 has 94 digits
 

GMP-ECM

5851408648548083669235929156542111160983175161483077667692925695984074196982250143054328609959<94>

19287997596162971799129139964077382710162127513<47>
303370457165140080102957753793587867599214721343<48>

prp48 = 303370457165140080102957753793587867599214721343
prp47 = 19287997596162971799129139964077382710162127513

Yafu

26834193663712179576672944018144830297373322028934910070853958789268055169583645975186682689446211853125110348568597389102856328812212370662593059544173580442899<161>

2583161094889024328737814759641057531<37>
10388122412034472218815381477102999406906571811708194915639141018682934937257398864637265373059675322785725414592047418339529<125>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2796730237
Step 1 took 6938ms
Step 2 took 3718ms
********** Factor found in step 2: 2583161094889024328737814759641057531
Found prime factor of 37 digits: 2583161094889024328737814759641057531
Prime cofactor 10388122412034472218815381477102999406906571811708194915639141018682934937257398864637265373059675322785725414592047418339529 has 125 digits
 

GMP-ECM

772982312008011235957774982137737430250797065243259306987375065346869634458590019176581965930187598381973435345092022475837275255204740967315691236442905319120224067815298532621<177>

1230348041597587987619251522609584122808091792275678749741<58>
628263130328801601439876543807437430289340298847432877143122535727529957918937784093179173499961341719410580405861699681<120>

umber: n
N=772982312008011235957774982137737430250797065243259306987375065346869634458590019176581965930187598381973435345092022475837275255204740967315691236442905319120224067815298532621  ( 177 digits)
SNFS difficulty: 196 digits.
Divisors found:

Thu Jan 20 21:47:01 2022  p58 factor: 1230348041597587987619251522609584122808091792275678749741
Thu Jan 20 21:47:01 2022  p120 factor: 628263130328801601439876543807437430289340298847432877143122535727529957918937784093179173499961341719410580405861699681
Thu Jan 20 21:47:01 2022  elapsed time 00:54:30 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 10^197+134 = 2(195)52
#
n: 772982312008011235957774982137737430250797065243259306987375065346869634458590019176581965930187598381973435345092022475837275255204740967315691236442905319120224067815298532621
m: 1000000000000000000000000000000000000000
deg: 5
c5: 50
c0: 67
skew: 1.06
# Murphy_E = 1.981e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5095967 hash collisions in 35447230 relations (32254754 unique)
Msieve: matrix is 1479501 x 1479727 (512.2 MB)

Sieving start time : 2022/01/20 14:27:09
Sieving end time  : 2022/01/20 20:51:44

Total sieving time: 6hrs 24min 35secs.

Total relation processing time: 0hrs 40min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 47sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119028] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153529] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.152048] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

197886678485020341232279776944817941200489821346225191812365511657018811968968398946830564875359204419105301716673412332077950435285918873172488573849131378127250461019484187<174>

88320683561693932292951535301202228685338974262732923433<56>
2240547406393114714098819104893094637971377542444688475593926765187108098129460366279649810708719234226473433096319139<118>

Number: n
N=197886678485020341232279776944817941200489821346225191812365511657018811968968398946830564875359204419105301716673412332077950435285918873172488573849131378127250461019484187  ( 174 digits)
SNFS difficulty: 199 digits.
Divisors found:

Tue Jan 25 00:55:27 2022  p56 factor: 88320683561693932292951535301202228685338974262732923433
Tue Jan 25 00:55:27 2022  p118 factor: 2240547406393114714098819104893094637971377542444688475593926765187108098129460366279649810708719234226473433096319139
Tue Jan 25 00:55:27 2022  elapsed time 01:17:54 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 10^199+134 = 2(197)52
#
n: 197886678485020341232279776944817941200489821346225191812365511657018811968968398946830564875359204419105301716673412332077950435285918873172488573849131378127250461019484187
m: 5000000000000000000000000000000000000000
deg: 5
c5: 8
c0: 335
skew: 2.11
# Murphy_E = 1.428e-11
type: snfs
lss: 1
rlim: 14700000
alim: 14700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14700000/14700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4485353 hash collisions in 33238883 relations (29842550 unique)
Msieve: matrix is 1803811 x 1804037 (625.3 MB)

Sieving start time : 2022/01/24 14:47:28
Sieving end time  : 2022/01/24 23:36:56

Total sieving time: 8hrs 49min 28secs.

Total relation processing time: 1hrs 4min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 5sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14700000,14700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119028] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153529] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.152048] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

1047173025000086799756935991849350422192407355576241655167092557465245106938416599893145712180050514835865579665806722677492001053340234567714253814233009<154>

2080058239821504101292822556204988129688635540542725599<55>
503434473589522084035720328571888173537745069324079701147316967800617257496653719006299363554196591<99>

1047173025000086799756935991849350422192407355576241655167092557465245106938416599893145712180050514835865579665806722677492001053340234567714253814233009=2080058239821504101292822556204988129688635540542725599*503434473589522084035720328571888173537745069324079701147316967800617257496653719006299363554196591

cado polynomial
n: 1047173025000086799756935991849350422192407355576241655167092557465245106938416599893145712180050514835865579665806722677492001053340234567714253814233009
skew: 2.66
type: snfs
c0: 134
c5: 1
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = x^5+134
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15100000
tasks.lim1 = 15100000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 503434473589522084035720328571888173537745069324079701147316967800617257496653719006299363554196591 2080058239821504101292822556204988129688635540542725599
Info:Square Root: Total cpu/real time for sqrt: 757.21/244.443
Info:Filtering - Singleton removal: Total cpu/real time for purge: 533.46/616.212
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32562812
Info:Lattice Sieving: Average J: 1894.05 for 5214194 special-q, max bucket fill -bkmult 1.0,1s:1.118380
Info:Lattice Sieving: Total time: 1.43205e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 184215/47547.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 119408.76, WCT time 30799.18, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (98304 iterations)
Info:Linear Algebra: Lingen CPU time 707.47, WCT time 179.47
Info:Linear Algebra: Mksol: CPU time 62877.82,  WCT time 16091.88, iteration CPU time 0.31, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (49152 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 117.14/32.2266
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 139.52/164.699
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 163.70000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 632.19/659.105
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 526.5s
Info:Filtering - Merging: Merged matrix has 3137452 rows and total weight 537113913 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 908.07/249.022
Info:Filtering - Merging: Total cpu/real time for replay: 122.7/108.798
Info:Generate Factor Base: Total cpu/real time for makefb: 6.21/2.86454
Info:Quadratic Characters: Total cpu/real time for characters: 108.48/47.8593
Info:Square Root: Total cpu/real time for sqrt: 757.21/244.443
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.94325e+06/317184
Info:root: Cleaning up computation data in /tmp/cado.w11i45tg
503434473589522084035720328571888173537745069324079701147316967800617257496653719006299363554196591 2080058239821504101292822556204988129688635540542725599

cado-nfs-3.0.0

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

5380351406460982073605294816731941627964991947281853463912740255691300745470284841076202422722739096440786709387087262079381209658595935103621748038939927440365718410937316076049889760365927599<193>

1024895392205019236735577845260113457473862005494228109733952145280639252366948867751<85>
5249659084607047364846739098198441674189824827598528982504394599083537706757950763177251723851820084465457849<109>

Number: n
N=5380351406460982073605294816731941627964991947281853463912740255691300745470284841076202422722739096440786709387087262079381209658595935103621748038939927440365718410937316076049889760365927599  ( 193 digits)
SNFS difficulty: 200 digits.
Divisors found:

Mon Jan 17 04:24:36 2022  p85 factor: 1024895392205019236735577845260113457473862005494228109733952145280639252366948867751
Mon Jan 17 04:24:36 2022  p109 factor: 5249659084607047364846739098198441674189824827598528982504394599083537706757950763177251723851820084465457849
Mon Jan 17 04:24:36 2022  elapsed time 01:16:04 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 10^201+134 = 2(199)52
#
n: 5380351406460982073605294816731941627964991947281853463912740255691300745470284841076202422722739096440786709387087262079381209658595935103621748038939927440365718410937316076049889760365927599
m: 10000000000000000000000000000000000000000
deg: 5
c5: 5
c0: 67
skew: 1.68
# Murphy_E = 1.774e-11
type: snfs
lss: 1
rlim: 15500000
alim: 15500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15500000/15500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 27750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7517070 hash collisions in 61046470 relations (56288707 unique)
Msieve: matrix is 1639656 x 1639881 (570.7 MB)

Sieving start time : 2022/01/16 19:22:40
Sieving end time  : 2022/01/17 03:06:06

Total sieving time: 7hrs 43min 26secs.

Total relation processing time: 0hrs 54min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 47sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15500000,15500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119057] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221988K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505248K reserved, 0K cma-reserved)
[    0.152620] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.150211] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

73696903555540403871907353874855449886409244796607756688782894649679547253809232903720571718872340809643767993190603338711909108210655983448390689972579094993605489<164>

46510899285411606402237186682211658819089<41>

1584508248342036118351783480646269155983284987026990274925940410702722846700607625391389568535077473575422370172768785397601<124>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3479300770
Step 1 took 26157ms
Step 2 took 11734ms
********** Factor found in step 2: 46510899285411606402237186682211658819089
Found prime factor of 41 digits: 46510899285411606402237186682211658819089
Composite cofactor 1584508248342036118351783480646269155983284987026990274925940410702722846700607625391389568535077473575422370172768785397601 has 124 digits
 

GMP-ECM

1584508248342036118351783480646269155983284987026990274925940410702722846700607625391389568535077473575422370172768785397601<124>

17374006286839771770958619452394663461451<41>
91199935247073559578314814603838163253374763587209643388487321934016748889109643651<83>

1584508248342036118351783480646269155983284987026990274925940410702722846700607625391389568535077473575422370172768785397601=17374006286839771770958619452394663461451*91199935247073559578314814603838163253374763587209643388487321934016748889109643651

cado polynomial
n: 1584508248342036118351783480646269155983284987026990274925940410702722846700607625391389568535077473575422370172768785397601
skew: 10349.507
c0: -568518295808462126154534540
c1: -132163426309163043298986
c2: 26134763816723412664
c3: 3900784681340527
c4: -133539100920
c5: 1868400
Y0: -335782811308013000452805
Y1: 31327088429967011
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.888e-07
# f(x) = 1868400*x^5-133539100920*x^4+3900784681340527*x^3+26134763816723412664*x^2-132163426309163043298986*x-568518295808462126154534540
# g(x) = 31327088429967011*x-335782811308013000452805

cado parameters (extracts)
tasks.lim0 = 2377918
tasks.lim1 = 9209388
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 57
tasks.sieve.mfb1 = 53
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 91199935247073559578314814603838163253374763587209643388487321934016748889109643651 17374006286839771770958619452394663461451
Info:Square Root: Total cpu/real time for sqrt: 264.46/78.191
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 122.68/107.048
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 95.4s
Info:Square Root: Total cpu/real time for sqrt: 264.46/78.191
Info:Filtering - Singleton removal: Total cpu/real time for purge: 56.16/59.9022
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11634495
Info:Lattice Sieving: Average J: 3788.95 for 166812 special-q, max bucket fill -bkmult 1.0,1s:1.281070
Info:Lattice Sieving: Total time: 49816.4s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.2/2.20843
Info:Linear Algebra: Total cpu/real time for bwc: 7536.82/1948.03
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4742.02, WCT time 1217.08, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22272 iterations)
Info:Linear Algebra: Lingen CPU time 121.8, WCT time 30.94
Info:Linear Algebra: Mksol: CPU time 2565.1,  WCT time 661.07, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11008 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 127.43/32.7461
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 48.92/54.0372
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 53.9s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2073.77
Info:Polynomial Selection (root optimized): Rootsieve time: 2071.2
Info:Filtering - Merging: Merged matrix has 704065 rows and total weight 120382998 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 138.21/40.0352
Info:Filtering - Merging: Total cpu/real time for replay: 25.41/21.0185
Info:Quadratic Characters: Total cpu/real time for characters: 26.14/10.3127
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20004/36.270/43.875/49.220/0.869
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15850/35.990/39.256/44.630/0.907
Info:Polynomial Selection (size optimized): Total time: 2014.72
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 105249/28656.4
Info:root: Cleaning up computation data in /tmp/cado.iyhlyv0a
91199935247073559578314814603838163253374763587209643388487321934016748889109643651 17374006286839771770958619452394663461451

cado-nfs-3.0.0

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

228271223893682912046683869599318103408638376452633445822161473539427529032086104762005493076953694222494579848566133508776508323029220720115614020712831<153>

191237347723545867813632490620325989<36>

1193653993903290747694376765262687686362827454075314880800512025884868366919443842858569575197636052920111567593167379<118>

C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:2922274362 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 228271223893682912046683869599318103408638376452633445822161473539427529032086104762005493076953694222494579848566133508776508323029220720115614020712831 (153 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2922274362
Step 1 took 3625ms
Step 2 took 3656ms
********** Factor found in step 2: 191237347723545867813632490620325989
Found probable prime factor of 36 digits: 191237347723545867813632490620325989
Composite cofactor 1193653993903290747694376765262687686362827454075314880800512025884868366919443842858569575197636052920111567593167379 has 118 digits

1193653993903290747694376765262687686362827454075314880800512025884868366919443842858569575197636052920111567593167379<118>

521603729391557899318337311952110804204316741322699938669<57>
2288430712134033890918766355388416570275923127799846184606591<61>

1193653993903290747694376765262687686362827454075314880800512025884868366919443842858569575197636052920111567593167379=521603729391557899318337311952110804204316741322699938669*2288430712134033890918766355388416570275923127799846184606591

cado polynomial
n: 1193653993903290747694376765262687686362827454075314880800512025884868366919443842858569575197636052920111567593167379
skew: 6499.161
c0: -823543792490629455250222
c1: 2797702072644621662454
c2: 66571946966447147
c3: -191737229502829
c4: -1490226930
c5: 237600
Y0: -35691787469141249188434
Y1: 340034539475685731
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.994e-06
# f(x) = 237600*x^5-1490226930*x^4-191737229502829*x^3+66571946966447147*x^2+2797702072644621662454*x-823543792490629455250222
# g(x) = 340034539475685731*x-35691787469141249188434

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 521603729391557899318337311952110804204316741322699938669 2288430712134033890918766355388416570275923127799846184606591
Info:Square Root: Total cpu/real time for sqrt: 191.01/26.0258
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20303/34.600/41.743/46.780/1.049
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15939/32.910/36.951/42.260/0.824
Info:Polynomial Selection (size optimized): Total time: 3320.46
Info:Generate Factor Base: Total cpu/real time for makefb: 6.06/0.692206
Info:Quadratic Characters: Total cpu/real time for characters: 16.24/3.59431
Info:Square Root: Total cpu/real time for sqrt: 191.01/26.0258
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 206.56/137.291
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 124.8s
Info:Linear Algebra: Total cpu/real time for bwc: 2377.64/435.09
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1371.98, WCT time 259.29, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15744 iterations)
Info:Linear Algebra: Lingen CPU time 192.75, WCT time 16.95
Info:Linear Algebra: Mksol: CPU time 788.6,  WCT time 150.45, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7936 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 101.14/87.0113
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13427801
Info:Lattice Sieving: Average J: 1894.15 for 173179 special-q, max bucket fill -bkmult 1.0,1s:1.236100
Info:Lattice Sieving: Total time: 40220.2s
Info:Generate Free Relations: Total cpu/real time for freerel: 149.02/13.4282
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1451.9
Info:Polynomial Selection (root optimized): Rootsieve time: 1448.51
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 94.4/83.3044
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 83.2s
Info:Filtering - Merging: Merged matrix has 500650 rows and total weight 50716289 (101.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 44.37/7.56308
Info:Filtering - Merging: Total cpu/real time for replay: 11.18/8.15925
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 83105.5/8119
Info:root: Cleaning up computation data in /tmp/cado.ostzy56d
521603729391557899318337311952110804204316741322699938669 2288430712134033890918766355388416570275923127799846184606591

cado-nfs-3.0.0

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

274001335191543855545646864821584566825437753119298240349541180886213746261584658919543947324501667774238377916528726488959757905261317724916300154454543732717067888868540133571<177>

29036978519395785809347297842905889715994250143332756179585149989<65>
9436289488884651196895189384611929500388085731875400844351623165576375692908496222946749656648958209160789156039<112>

Number: n
N=274001335191543855545646864821584566825437753119298240349541180886213746261584658919543947324501667774238377916528726488959757905261317724916300154454543732717067888868540133571  ( 177 digits)
SNFS difficulty: 204 digits.
Divisors found:

Mon Feb  7 22:52:29 2022  p65 factor: 29036978519395785809347297842905889715994250143332756179585149989
Mon Feb  7 22:52:29 2022  p112 factor: 9436289488884651196895189384611929500388085731875400844351623165576375692908496222946749656648958209160789156039
Mon Feb  7 22:52:29 2022  elapsed time 01:52:14 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 10^204+134 = 2(202)52
#
n: 274001335191543855545646864821584566825437753119298240349541180886213746261584658919543947324501667774238377916528726488959757905261317724916300154454543732717067888868540133571
m: 50000000000000000000000000000000000000000
deg: 5
c5: 8
c0: 335
skew: 2.11
# Murphy_E = 8.809e-12
type: snfs
lss: 1
rlim: 17900000
alim: 17900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17900000/17900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 43350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5253145 hash collisions in 33049025 relations (29324297 unique)
Msieve: matrix is 2291132 x 2291357 (792.8 MB)

Sieving start time : 2022/02/07 05:39:05
Sieving end time  : 2022/02/07 20:59:29

Total sieving time: 15hrs 20min 24secs.

Total relation processing time: 1hrs 40min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 38sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17900000,17900000,28,28,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116821] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.152622] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798480)
[    0.150214] smpboot: Total of 16 processors activated (102387.84 BogoMIPS)

633607439686028080742848579645282771403777011503845476852637560156511445026916137997710581012454152300801638069143<114>

10312752502905307373460804177360332438572512539<47>
61439217076869465290644836719880072439840703205648864181692932566837<68>

633607439686028080742848579645282771403777011503845476852637560156511445026916137997710581012454152300801638069143=10312752502905307373460804177360332438572512539*61439217076869465290644836719880072439840703205648864181692932566837

cado polynomial
n: 633607439686028080742848579645282771403777011503845476852637560156511445026916137997710581012454152300801638069143
skew: 16738.276
c0: -34996702054715541749758380
c1: 11564034189994315078300
c2: 226675655930961387
c3: 13940346043949
c4: 357034884
c5: 56160
Y0: -10468417433885677766088
Y1: 90191546907452489
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.165e-06
# f(x) = 56160*x^5+357034884*x^4+13940346043949*x^3+226675655930961387*x^2+11564034189994315078300*x-34996702054715541749758380
# g(x) = 90191546907452489*x-10468417433885677766088

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 10312752502905307373460804177360332438572512539 61439217076869465290644836719880072439840703205648864181692932566837
Info:Square Root: Total cpu/real time for sqrt: 557.15/71.6108
Info:Filtering - Merging: Merged matrix has 432154 rows and total weight 67434253 (156.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 88.14/11.4916
Info:Filtering - Merging: Total cpu/real time for replay: 14.32/10.751
Info:Generate Factor Base: Total cpu/real time for makefb: 5.04/0.58752
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21824/33.130/40.559/45.790/1.086
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16961/32.360/35.895/41.010/0.819
Info:Polynomial Selection (size optimized): Total time: 2348.11
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 206.39/186.756
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 140.9s
Info:Quadratic Characters: Total cpu/real time for characters: 17.03/3.91802
Info:Square Root: Total cpu/real time for sqrt: 557.15/71.6108
Info:Linear Algebra: Total cpu/real time for bwc: 2690.87/494.77
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1613.51, WCT time 302.78, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13568 iterations)
Info:Linear Algebra: Lingen CPU time 157.0, WCT time 13.92
Info:Linear Algebra: Mksol: CPU time 889.27,  WCT time 167.44, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6784 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 148.14/171.745
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7028125
Info:Lattice Sieving: Average J: 1884.8 for 133351 special-q, max bucket fill -bkmult 1.0,1s:1.241530
Info:Lattice Sieving: Total time: 27990.5s
Info:Generate Free Relations: Total cpu/real time for freerel: 73.42/6.99683
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.18/46.1371
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 44.49999999999999s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 411.72
Info:Polynomial Selection (root optimized): Rootsieve time: 410.36
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 58614.8/5760.06
Info:root: Cleaning up computation data in /tmp/cado.8tv2s9ai
10312752502905307373460804177360332438572512539 61439217076869465290644836719880072439840703205648864181692932566837

cado-nfs-3.0.0

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

151023582348047506157538095751472880812472750866926527265975555023468195929705361040288743432902346466393940427876710524517765392294887448113653146707551099939927936010175851<174>

220210929314546117196556201796068055844489028184922939482712593974574448786899<78>
685813291911263850419802221714977491207060272634059074140578291778783324972639624754397475562249<96>

Number: n
N=151023582348047506157538095751472880812472750866926527265975555023468195929705361040288743432902346466393940427876710524517765392294887448113653146707551099939927936010175851  ( 174 digits)
SNFS difficulty: 207 digits.
Divisors found:

Wed Aug  7 02:35:40 2024  prp78 factor: 220210929314546117196556201796068055844489028184922939482712593974574448786899
Wed Aug  7 02:35:40 2024  prp96 factor: 685813291911263850419802221714977491207060272634059074140578291778783324972639624754397475562249
Wed Aug  7 02:35:40 2024  elapsed time 06:01:34 (Msieve 1.44 - dependency 8)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.946).
Factorization parameters were as follows:
#
# N = 2x10^208+134 = 2(206)52
#
n: 151023582348047506157538095751472880812472750866926527265975555023468195929705361040288743432902346466393940427876710524517765392294887448113653146707551099939927936010175851
m: 100000000000000000000000000000000000000000
deg: 5
c5: 500
c0: 67
skew: 0.67
# Murphy_E = 5.354e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
q0: 00000000
qintsize: 50000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 69600000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7018653 hash collisions in 22732966 relations (13859752 unique)
Msieve: matrix is 3115217 x 3115443 (881.8 MB)

Sieving start time: 2024/08/05 13:06:36
Sieving end time  : 2024/08/06 20:28:30

Total sieving time: 31hrs 21min 54secs.

Total relation processing time: 5hrs 17min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 33min 19sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

230278945875290635109478630793511012741974612307857058251123045119577818612570329038694622220371430761760602953954925664215059973965963655489943661066946502863153869458457742853<177>

289043606071523063787985346876390459509<39>
796692751675360459667031191156057136999084816531022430321276521579463378811644884503818076912156287404563043670863333256805362553990036817<138>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3332107472
Step 1 took 67715ms
Step 2 took 28275ms
********** Factor found in step 2: 289043606071523063787985346876390459509
Found prime factor of 39 digits: 289043606071523063787985346876390459509
Prime cofactor 796692751675360459667031191156057136999084816531022430321276521579463378811644884503818076912156287404563043670863333256805362553990036817 has 138 digits

3887838301038111523171439231617019816572401198246192614421719997873443175926746022195727469011399175109336078113694913062169306421096957438023352404111033946981501226343516738527743739484608170594607<199>

10173405907155585090987585209650191710712936211992130097351966211107654187783859643297193529656871975967810855386276185304030912992576730218102155604318724749733706013677248982450854463344801406876233538183<206>

49272312924947420757976443195911631407<38>

206473073887396392985764395209746609826624858124182433886059039492763090588246272450979866233872325359955130515710112749908060432394485306760131194793817733990583107369<168>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4164814324
Step 1 took 11830ms
Step 2 took 4018ms
********** Factor found in step 2: 49272312924947420757976443195911631407
Found probable prime factor of 38 digits: 49272312924947420757976443195911631407
Composite cofactor 206473073887396392985764395209746609826624858124182433886059039492763090588246272450979866233872325359955130515710112749908060432394485306760131194793817733990583107369 has 168 digits

450476180589683771613701466608041294190298372099601711438720465457757782548290406731933638488194404488570698037728293647733249683551413556192205981264879<153>

38194548667308278900234190075498722600833788592126581884649628852588139201595477706661499811285388125434543284983169980626777369124275375364033098492337704531640937094179673841<176>

27075286478918477906541350675546200084459276231<47>
1410679391963130202470497707585139314895550290402114853344375800666265955143107700471623991071289977100455599081256352137251986311<130>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3047425440
Step 1 took 10105ms
Step 2 took 4283ms
********** Factor found in step 2: 27075286478918477906541350675546200084459276231
Found probable prime factor of 47 digits: 27075286478918477906541350675546200084459276231
Probable prime cofactor 1410679391963130202470497707585139314895550290402114853344375800666265955143107700471623991071289977100455599081256352137251986311 has 130 digits

1453704015307277598018069295020454391369881575728073190323468273041809615526533971713283678230986148005748233001395769386542584004918372461977875560492078756339173760096602957414403907051172590564369407<202>

21867553845661811859956550051408627922812263<44>
1752671477364422669958767483885753523314245919038985780422997508624038861154721<79>
37929338307986330424111038845820181558576594126688086641610204529700921466361609<80>

Number: 22252_219
N = 1453704015307277598018069295020454391369881575728073190323468273041809615526533971713283678230986148005748233001395769386542584004918372461977875560492078756339173760096602957414403907051172590564369407 (202 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=21867553845661811859956550051408627922812263 (pp44)
r2=1752671477364422669958767483885753523314245919038985780422997508624038861154721 (pp79)
r3=37929338307986330424111038845820181558576594126688086641610204529700921466361609 (pp80)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 68.76 hours.
Factorization parameters were as follows:
n: 1453704015307277598018069295020454391369881575728073190323468273041809615526533971713283678230986148005748233001395769386542584004918372461977875560492078756339173760096602957414403907051172590564369407
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: 1340
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: 30875193
Relations: 8625468 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 15.39 hours.
Total relation processing time: 0.44 hours.
Pruned matrix : 7288675 x 7288900
Matrix solve time: 52.36 hours.
time per square root: 0.57 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 68.76 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, Msieve

170303611838076760221778963212156262726408054574488254028749175720748222951213615569172035913774036359932361390144488916534946788533100378009055696932123129703864206412188579416764009<183>

4969648392917508616822803905411006200373149282937<49>
34268744662255150485998285029022660561218791829487193554224223826749899848765849879308644215821438383524529052486221175238727959551857<134>

Number: 22252_220
N = 170303611838076760221778963212156262726408054574488254028749175720748222951213615569172035913774036359932361390144488916534946788533100378009055696932123129703864206412188579416764009 (183 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=4969648392917508616822803905411006200373149282937 (pp49)
r2=34268744662255150485998285029022660561218791829487193554224223826749899848765849879308644215821438383524529052486221175238727959551857 (pp134)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 31.70 hours.
Factorization parameters were as follows:
n: 170303611838076760221778963212156262726408054574488254028749175720748222951213615569172035913774036359932361390144488916534946788533100378009055696932123129703864206412188579416764009
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: 134
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: 31076189
Relations: 6787666 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 11.00 hours.
Total relation processing time: 0.35 hours.
Pruned matrix : 5972262 x 5972487
Matrix solve time: 20.01 hours.
time per square root: 0.34 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 31.70 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

5690654014574691779862832108063989367222675675446288817227325868525802417432311851178239716102215561713184663722297858218427770717333207276896845119960448743498117710053672080275791438093604077<193>

3851387606090753904130123722158307136832361408778576736507020966280331111818075162600475108344388272527737260213337803341999971855380647565305009471972082785321288330161787<172>

419051750908740572318073776744483166697445351644262309947579090861224804811143393998044069631142584541616496096322512320818396686076083357444981187518569339935409835131924083331144778075083680919155409210177<207>

65990400231653709311449755573290502800455281562258999678369904660409747092576096819337035557534790259427956796550174699305389633348970335565824695483306530633542138476873591909645637043<185>

2822912781403055196897267754805419983053189442294795735198993322089300415919521352087645301449638188891643610907233639320008741360689061652978978500073429086394656189528854176808627079910336930146429626016132178283<214>

45415086475972512339489803923063311540816085606704450377183179889215633113891636094678231290349021992243919914264680293430921249845219755780550284666152666113486082637778260620340163854535234313322682366214513<209>

505866743061574814148205561317597636646307321113285708934824233893774728619636026034832974260196613547343660870113123096218111270694546400078507546503340156720136511790248389373746167357937264384989<198>

463980139533481879011672675692533585467728095179603658440677129797405186375648312236400139353000695341682516557118063086121775459004079887979335729433605084161690183329850601<174>

11567676999746247693132534887912676379277401793<47>
40110053171752625659636034986599634670879732557078740098059846398379189362632955943275221618908988891749038622432042937265698857<128>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:284798725
Step 1 took 62764ms
Step 2 took 26284ms
********** Factor found in step 2: 11567676999746247693132534887912676379277401793
Found prime factor of 47 digits: 11567676999746247693132534887912676379277401793
Prime cofactor 40110053171752625659636034986599634670879732557078740098059846398379189362632955943275221618908988891749038622432042937265698857 has 128 digits

1874378375096968373262323579562842862856734184680196165396439688920327093140703219119984032623675470892121165110403936813027513265849557750042302420161507347195894149933571948115001387<184>

16637437185260263944912353359278299843633749066712866663303055972549446596966398796585372052930139993927151181134656519408924475083470897141446480774650872874396162853822569474186428987399853988860200570645422128069<215>

215614188107882670710026614716629528058753<42>
77162998090532491446773549728748245219211964080060390719712838595405548153302769436536350295731630260079374478730512958970409207731643885046908366126602254744427185040904773<173>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2362572084
Step 1 took 29357ms
Step 2 took 12150ms
********** Factor found in step 2: 215614188107882670710026614716629528058753
Found prime factor of 42 digits: 215614188107882670710026614716629528058753
Prime cofactor 77162998090532491446773549728748245219211964080060390719712838595405548153302769436536350295731630260079374478730512958970409207731643885046908366126602254744427185040904773 has 173 digits

286297440066874317384395942972346596759533293418752637777630690294164498705614911427228245613246592288480450325811169741686777307418979646666075672161866114985753005390436303991294316309827843654909753767<204>

427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427350427351<240>

13243672715080137202815579500143621951374812062304973535680327344149300710899212131816056977723189799738390565374946184857980130736173869449303692117175979907697061650252876817890949038590016840169737<200>

127807010047191709012714657226676778401907334275263225170648440573708570417181315438606566747127193380228316470583781409497763719248789675993483666850188937169214037355029062432752233639728655396526188091849775056548826962543<225>

60129935699799054132625273516021109945971325454606768804404453922697464139491215399586836248747716973656377081687832673268817178086302932280872506862589857612441657386435182981953807393<185>

4145627606563357626711107794609025860425009742224875423890422771103317331210771998772894228457246142493512092795728345314197116301436874528434859753418069961611488363223308376655141821920420532464409786997653574774685139583281512988251291363<241>

110364126903762885915434198831509733376410442476739397547527562862378364392115920726507393956549113431081613337356153470918324997016475440583948748469119039533848825315258746441798909830331695919086967<201>

1805117760888011312954355426873274252942716373246454165640945455476778919700732665465208757315929196980827393081117848448870358169843271520046809099633105022215873626055136487394979863<184>

21032908821124768751256438250297196048236721011562577150174800326627507957891278878258792314800471808296268672949676809365573271547325190037471671111396109322701891394882381233443463178381334374581126879689009276283911<218>

367801335794913972509850553686330585189133353772598104861689414411940962872049484533602574742119916259824682280436519268096959425444905691847222905998889634405674463074738572569652530296875895750228028994576431<210>

4081965874765286962200995999673442730018777043023920320026124581598497836558086374397910033472120173075353090048167197322230386153971752796146624214221569107682259776308270062862274471385419217895338394971018042289166462568372928402318556616866683<247>

1515398066653098584638898739973001548871524876053594376821157818829326008703347158838590595007301838659944797709146431361538892072537491184305475559183168697755689117491343106563451229089733645908527325810547352720149384447421<226>

31790235717864087995918316623721276583845151987538658704908601323093902308702067303778854071357538161352549474647324602807756152862154329127204900940426516521351446447<167>

6875110889904173081169357442803148583<37>
4623959704351355968773815074934359769992016831806088733356502096145121342982325233872653545838725194322598615860506357446927972409<130>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1512876810
Step 1 took 7110ms
Step 2 took 3812ms
********** Factor found in step 2: 6875110889904173081169357442803148583
Found prime factor of 37 digits: 6875110889904173081169357442803148583
Prime cofactor 4623959704351355968773815074934359769992016831806088733356502096145121342982325233872653545838725194322598615860506357446927972409 has 130 digits
 

GMP-ECM

11131613155666210227945087112345648124110380606850664560297541680581427398018387530084900127504464920383748313444514872364907095241331154500491402466993366287950182502458990055977813730299081181811669805095558135411<215>

5216423235861423217978119996127574245680225964854650077542788427058451696003169068042664272097541145822028223845870191993978236794813701408537453760264238235284266815850256964965382901924587069375725841437<205>

5410519218140313600126187063757312668543870756442303305450360090848901443715116738388600754025139361480841994782916406216193060787091205402996665964067977296593986989432112228139473444690657753673902678093598084530763654214971<226>

390414354488226081667188240274273007766457001115867285531322037669694740668568957771910902829391997844509864794802363940782737308221220367991026030695568617412189700978406566433946770415916121385718019481532633225031573487<222>

736568723627360796622602593154196166207113621736281379941640450174063257725246792603453004527762866218503970970483534046794732694153506854779941250261089421440275368083401575698895069797334212720072586672879575668979<216>

2759124267062962387028062639044405421307812942645929334481851381564802182748602274744125663205426424523062372078866418237761869830284419462380524744479002529518023090046106301114912846699523086571957122417605661739282723885202747<229>

951684572047439226172018572200275838784388728577984651551530444900823500874220130027917446118085954465823831699554561545910827329129883559163508674294062011526537752818992263873432281177193928468426535178072499242762121354326763<228>

9004927063181579919703302601957870784849<40>

105684872889041963741552693833966005779441842054040170137383969668400837699974941353332642547601777091811740173256997930918819030841247273141931155213872339478630788757642176314693416440187<189>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:459909370
Step 1 took 7547ms
Step 2 took 3562ms
********** Factor found in step 2: 9004927063181579919703302601957870784849
Found prime factor of 40 digits: 9004927063181579919703302601957870784849
Composite cofactor 105684872889041963741552693833966005779441842054040170137383969668400837699974941353332642547601777091811740173256997930918819030841247273141931155213872339478630788757642176314693416440187 has 189 digits

GMP-ECM

57675062183233418785858965255631274837693435381742758356681063631038969759130830353291707856754201377393528057493178107132373876375880422801116049365285363922894393927434228772125264098435366689567126857141327929779827411067620653721222119341446299770449792007<260>

70240647234606781630107985896172899790143237090846548836471887759507805596226416075543353899837405504860024183260598849187768650749395513742302239337619791140650592987548608731134546031739467792032876954038426100360901962238049092190300803196057<245>

303563134779875900417210153188440038664500831444664307386832041236856419387797847294228055965002773671088506120049219747977599225844193921240717329342140431801084542092388803066792441025796014172206953939818907644209<216>

651077914699252383304872373854970255214984907046787287898003291416530932221137350008888327833707669975972567729592184339493380484469542427665660354433036183375726514379607833381632963955996240989428495955651764810848582498811113211097902554612341<246>

134554241105811279378990129845039687203602822309446165549548549508554615441998558096475570718713249174949115786436512437220639681325906799763554134502887715854267484238661916701865703823993873289681924688331722165210557669114673340556838073189084877<249>

8993801517047446996502138653993878249676644113524857213735984467961574198100513261986628644784219757221731419007267514770149462794763984501914690444174672381974936985746342805165693046832962466273613<199>

52226280222233480296861526069885016207794670541969300384171430236081514956600711353207888826876977079573246687832357825939711605877120281494026089324984130353442258925557606045417205911465340519078754044797103688020185918491<224>

987056597732653657425924847378427013587370312542401358255839445366987112771442252492493669557378579860602469809772891283205824943634807920972493515273704576476690046808704142275332242713043441493351190469696592056769579709734489172525943572737918828997453488743377<264>

12622217779201563943271714190578827138475069478997765615008725739150762041153983736019947143200827815530831155369655532103474921799049748956710589460094732268876463577707042869343132213439683091453774030493763488417474299271268878735576907299150852921121993987280338699543<272>

24215344488086158806573428671600256372789493880250101900529338947427014516331652421630679919367433045699883414544876353398023755469845384323892398730504083677348105573120189361419145179252765543169086798577948893889<215>

1426672499932416226940550234386839819<37>
16973302905350231856433707179669533573081153183833095489855028222289696119184845296045120666194710860304106719874566580389414891708128849508576093446895658328696171038783334050531<179>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2179516999
Step 1 took 9531ms
Step 2 took 4250ms
********** Factor found in step 2: 1426672499932416226940550234386839819
Found prime factor of 37 digits: 1426672499932416226940550234386839819
Prime cofactor 16973302905350231856433707179669533573081153183833095489855028222289696119184845296045120666194710860304106719874566580389414891708128849508576093446895658328696171038783334050531 has 179 digits
 

GMP-ECM

555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555563<282>

54660455189421329849109602241885808135416522184813243924521002270964362434723905804764621668015660361148099745014118061552114340906867916089684712326472026696214634521394668100773606634582500597822160453681091561105982612258549878022352330675085317<248>

35570361137285374087230483435648196146877757670688032336854794856859984776053139693348076872103239799064733971520021070289282390681102911288173449436643066592389254364598207410893489478409568072543147182788430419259810986657297542883042319<239>

42730718372205811614687797444554062297245827441672120832575429982089799507423086122798319708694452925771476773404518948825151190144556685083479547051326071298415878595782148162819777962846855409734160945250066855138686902617791155545865383<239>

18323566020933155503244257873348729248057414834679063650187743246756624340575060184104065998811418025694742327757466527907730998168450485029581268018836084223345324168299731191896601730190306147814234091613209829574433016201364151259027<236>

50611884526502763312010548350111445977337738507612064389113630752023801503907955681779350348554841813481761518149760350067196175838853120247844581515953443986532896260862449086635497<182>

2839456060022182909964059846570854796728867591542898978904608674665314181653536708984620592785002808254829958656694841369928628518232251702120513756187805976240940046248941210645546181747646173540355373975540248750624827710804971472830229332713822969263945364231030903<268>

1617993677627652239720355196666758857<37>

1754924076208674135005603125395075417796260390302646368499178994832038552567197452116168191529017822398807277732667798816307629387216160252600980549857433105900712831277544371292370549804795575532309526186391072428085042289359631679<232>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2053862243
Step 1 took 10391ms
********** Factor found in step 2: 1617993677627652239720355196666758857
Found prime factor of 37 digits: 1617993677627652239720355196666758857
Composite cofactor 1754924076208674135005603125395075417796260390302646368499178994832038552567197452116168191529017822398807277732667798816307629387216160252600980549857433105900712831277544371292370549804795575532309526186391072428085042289359631679 has 232 digits

GMP-ECM

146934121590762212817070852048331516496785326369716643797991460143977242900140105971130130945625883070247848787136761730399666188426837138280087852125561617599147127119709853976562223997907976479382952769307411649211898631874123604875706863652321592016649741326411731<267>

24445090090086554831740652594299399828647308852991867274211284543141892695660576955496545064277160049785455514459689437786810276271686234739229523979309291333989667720351120257550895288795020816034553853559994042754039503267520107501726209518857536043855580439460141035254051<275>

67168730343759154558366480973444955564407538548441102601169395454028464949904839041449705630393931552604095605267671294574463772710866457122249653819821205731794475835429223864330092122548088249839733771518710720539736724578445932209523233045749353573964029<257>

3740877340706395704872467194214386226556512481732502596499327514028073791496334820892463810457767007260341659810065045655338942483400881242580409066676536602950910785469803229426923620433743236250661424700018079168136820671459859718365137976774898932231219687<259>

178672925203599979211077815600395824426374832292168149546829448078778605027615017761699941900758622298660089211392007189275930386136210554410812966266318546888741022815410487631263441868949621413617867058696124266873997079702479792637<234>

851426341504908065563422414871261421039<39>
209851300686555062695037292465440421198104008936397341875119595358390653679242394136408186636493288762042207689634919940773922653895438146512698308403246491878269039668647057906761266934870057683<195>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:219784567
Step 1 took 36116ms
Step 2 took 14436ms
********** Factor found in step 2: 851426341504908065563422414871261421039
Found prime factor of 39 digits: 851426341504908065563422414871261421039
Prime cofactor 209851300686555062695037292465440421198104008936397341875119595358390653679242394136408186636493288762042207689634919940773922653895438146512698308403246491878269039668647057906761266934870057683 has 195 digits

2297432650643623519098352361872638105405329948367513935194879598280272690945233846352341040371617989409585084955873343705486748362334382811916237805700913950078898901909474740007791112442020941755138911697622543806837528827187677751130055477146777523385881219551054665708181201207629<283>

55395966482896130401808712494789054541800088277611387055928046894530280790059103600403025187357262770269131664089725596016630073177327519294030926428054281118047602674305443191321594458512964698913642194082299489713678524762383551047465139274475898629833<254>

294431921085981601521609075442408171079<39>
188145246882789929411722673717420971543332202105456291981488099706734784271682214553405383672694670508812527975781598179230776537082912698260382595648353933018416827898553270334173825545369688819572837355416580553327<216>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1332354708
Step 1 took 12422ms
Step 2 took 5110ms
********** Factor found in step 2: 294431921085981601521609075442408171079
Found prime factor of 39 digits: 294431921085981601521609075442408171079
Prime cofactor 188145246882789929411722673717420971543332202105456291981488099706734784271682214553405383672694670508812527975781598179230776537082912698260382595648353933018416827898553270334173825545369688819572837355416580553327 has 216 digits

GMP-ECM

13349188608303378841660666525832458622072455417519441628582636987089720710813811182993336419607536593769850377074552417214606330551581183529900099526749672011617435650885143557569965715373619739406432733693257463860601709<221>