is 2 3204581 - 1
has 964676 decimal digits
takes 0.273 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L55F43AFD08C5F564double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.599967.6471%10613741164471000.90687.5244%19.506770.0814%2.4344%
PrimeNet2600.047963.3333%130002400000.00312.6581%0.051164.3080%0.9746%
GPU722641.110765.6250%160002600000.00361.6162%1.114366.1806%0.5556%
Difference+4+17.4892+2.0221%+1045374+116187100+0.9032+5.9082%+18.3924+3.9009%+3.9009%

Known prime factors (2 factors, 143.3 bits, 0.00447017% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
32045813901856789645644276012168.40360879359729800
23 × 52 × 229283 × 1327603
2009-05-11229283132760334.7520.03570.0576
3204581339896162722918813401772374.8485303285557814248
23 × 12073 × 79601 × 689797
2020-12-29796016897971,433.70.01390.0200

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
32045811326226150294921509867336526629324076902537744143.250
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2020-12-29T03:27:51Jocelyn LaroucheManual testing320458320458162374.8480.0590.5450.1183.368%
2022-01-07T11:58:22Jocelyn LaroucheManual testing1061374116447100-
skipped known factor: 390185678964564427601
skipped known factor: 33989616272291881340177
--0.907--7.524%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-20T00:00:00ANONYMOUSv4_computers21260--0.048--
2009-04-08T17:56:00S485122USB-A260261--0.048--
2022-04-03T00:03:42LordJuliusManual testing261263--0.402--
2022-04-03T00:03:42LordJuliusManual testing263264--0.613--
2022-04-03T00:03:42LordJuliusManual testing264265--1.166--
2022-04-03T00:03:42LordJuliusManual testing265266--2.332--
2022-04-03T00:03:42LordJuliusManual testing266267--4.664--
2021-09-28T10:32:40Jocelyn LaroucheManual testing267268--9.328--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.352 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.352 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.352


Lucas-Lehmer results:
No L-L results for M3204581


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-01T16:07:09Oliver KruseGTX-2
390185678964564427601
410124AAA17164__no
2017-12-13T06:06:20kkmrkkblmbrbkc4.xlarge
390185678964564427601
410124AAA17164__no
2020-12-29T10:23:54firejugglerMaison
390185678964564427601
33989616272291881340177
410124AAA17164E6no
2020-12-30T03:03:43Yuji HASEGAWAvj20a
390185678964564427601
33989616272291881340177
410124AAA17164E6no


P-1 factor-bounds graph:
B1 = 1061374, B2 = 116447100 (P-1 stage 2)
B1 = 1061374 (P-1 stage 1)
B1 = 320458, B2 = 3204581 (P-1 stage 2)
B1 = 320458 (P-1 stage 1)
103
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106
107
103
104
105
106
107
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109
TF factor-bounds graph:
268
267
266
265
264
263
261
260
250
260
270
280
290
2100
Last modified: 2022-04-03T00:03:42+00:00