is 2 3235657 - 1
has 974030 decimal digits
takes 0.275 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9CA495434541C76Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.421367.6471%10735641164471000.90827.5413%19.329570.0869%2.4398%
PrimeNet2600.047563.3333%140002600000.00342.7687%0.050864.3485%1.0152%
GPU722641.100065.6250%160002800000.00371.6534%1.103866.1934%0.5684%
Difference+4+17.3212+2.0221%+1057564+116167100+0.9045+5.8879%+18.2257+3.8935%+3.8935%

Known prime factors (2 factors, 141.1 bits, 0.00436084% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
323565740764741569641521431961.822629929896303
3 × 23 × 7129 × 1280603
2009-05-19712912806030.13320.00940.0161
32356577337880082502389194215592479.280113390882941275747
33 × 4199662331158361
2019-05-0727419966233115836148,87128,237,59652,739,966

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3235657299126785232229701650952126715150443025093743141.102
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2020-12-25T20:19:14Jocelyn LaroucheManual testing107855107855---0.013--0.902%
2021-01-16T04:02:55Jocelyn LaroucheManual testing32356532356576-
skipped known factor: 4076474156964152143
--0.060--3.384%
2022-01-07T11:58:37Jocelyn LaroucheManual testing1073564116447100-
skipped known factor: 4076474156964152143
--0.908--7.541%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-27T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-04-05T22:54:00S485122USB-Z260261--0.047--
2022-04-03T17:18:08LordJuliusManual testing26126361.822190.0380.5590.078
2022-04-03T17:18:08LordJuliusManual testing263264--0.607--
2022-04-03T17:18:08LordJuliusManual testing264265--1.155--
2022-04-03T17:18:08LordJuliusManual testing265266--2.309--
2022-04-03T17:18:08LordJuliusManual testing266267--4.619--
2021-07-23T11:05:10Jocelyn LaroucheManual testing267268--9.238--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.235 GHz-days
Estimated T-Level:0.100
DigitsB1CurvesCompleteFacMiss
20110002 / 1000.02098.010%
25500002 / 2800.00799.287%

New Calculation Method

Total ECM effort:0.235 GHz-days
Estimated T-Level:0.100
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000020.235


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00ANONYMOUSv4_computers9CA495434541C76B0.275
1999-09-30T00:00:00ANONYMOUSv4_computers9CA495434541C76B0.275


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-02T08:48:11Oliver KruseGTX-2
4076474156964152143
A962EBC51E7BC6__no
2017-12-13T15:40:41kkmrkkblmbrbkc4.xlarge
4076474156964152143
A962EBC51E7BC6__no
2019-05-08T15:13:56Chang Chia-Tchehomura
4076474156964152143
733788008250238919421559
A962EBC51E7BC63Bno


P-1 factor-bounds graph:
B1 = 1073564, B2 = 116447100 (P-1 stage 2)
B1 = 1073564 (P-1 stage 1)
B1 = 323565, B2 = 3235657 (P-1 stage 2)
B1 = 323565 (P-1 stage 1)
B1 = 107855 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-03T17:18:08+00:00