is 2 236659 - 1
has 71242 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9FDE769626DC8064double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267125.555873.1343%30000000101202470268904,486.311423.3468%4,611.867279.4066%6.2723%
PrimeNet2400.000055.0000%2600650000.000013.9051%0.000061.2573%6.2573%
GPU722440.000059.0909%45001000000.00019.8793%0.000163.1324%4.0415%
Difference+23+125.5558+14.0434%+29995500+10120246926890+4,486.3113+13.4676%+4,611.8671+16.2742%+16.2742%

Known prime factors (3 factors, 234.3 bits, 0.09901196% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2366592335632304332978960712167.662493459429882865
5 × 8971 × 11001213463
2009-04-28897111001213463194.594.87679.1081
23665925652273616998497267992271.1205419669992900861
3 × 619 × 2918508342973
2014-12-1961929185083429732,291.81,293.72,416.3
236659575479607981871630380106123112995.539121584137510483782653545
5 × 13 × 1870525192468981271593
2021-02-031318705251924689812715934.935e+108.292e+111.549e+12

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
23665959914278939450281147409901358887084550672942138.782
2366591344108762887338228072525496088517944572675113008150163.201
23665914762360364954003446652355373516123914931605602248
9
51166.658
23665934479445756591355336077462242692304301528188794821
408372634052360740719
71234.321
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-10-07T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.225%
2001-06-09T00:00:00ANONYMOUSv4_computers10000010000000---0.005--2.689%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.537%
2002-08-03T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.214%
2003-02-24T00:00:00ANONYMOUSv4_computers13107213107200---0.007--3.018%
2003-10-31T00:00:00ANONYMOUSv4_computers26214426214400---0.014--3.939%
2021-07-11T00:46:26Oliver KruseOllaptop30000000300000000024---1.561--12.516%
2022-04-01T17:44:31Oliver KruseThreadripper-PC3000000010120247026890-
skipped known factor: 233563230433297896071
skipped known factor: 2565227361699849726799
--4,486--23.347%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.010--
2022-03-07T05:44:42LordJuliusManual testing254255--0.010--
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.041--
2002-04-14T00:00:00ANONYMOUSv4_computers21257--0.081--
2022-03-07T05:44:42LordJuliusManual testing257258--0.081--
2009-01-01T05:06:00Sturle Sundefizir.ifi258259--0.162--
2009-01-24T10:34:00Sturle Sundekorsmo.ifi259260--0.324--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.621 GHz-days
Estimated T-Level:27.492
DigitsB1CurvesCompleteFacMiss
2011000572 / 1005.7200.319%
2550000572 / 2802.04312.918%
30250000319 / 6400.49860.724%

New Calculation Method

Total ECM effort:12.621 GHz-days
Estimated T-Level:27.492
DigitsB1CompleteFacMiss
201100039.1970.000%
25500005.4790.417%
302500000.56456.896%
3510000000.04695.533%
4030000000.00399.698%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000002531.510
250000250000002878.564
25000038500000210.739
2500003850000040.141
25000055133578571.667


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-09-10T00:00:00ANONYMOUSv4_computers9FDE769626DC80640.001


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T05:35:59Oliver KruseOllaptop9685EF043A8386__?
2017-09-22T10:05:16Oliver KruseManual testing9685EF043A8386__?
2017-10-12T15:28:19kkmrkkblmbrbkc4.xlarge9685EF043A8386__no
2020-04-17T20:05:27Oliver KruseAddPrpType5
233563230433297896071
2565227361699849726799
2D29852BF1390D__no
2021-02-03T14:52:47mnd975211backdoor
233563230433297896071
2565227361699849726799
57547960798187163038010612311
2D29852BF1390D3Fno
2021-02-03T14:57:38mrhlanai
233563230433297896071
2565227361699849726799
57547960798187163038010612311
2D29852BF1390D3Fno


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10120247026890 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-07-03T18:55:45+00:00