is 2 3195331 - 1
has 961891 decimal digits
takes 0.272 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP0A05F954B35FC065verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26937.362968.1159%40000001500000001.47538.0974%38.838270.6977%2.5818%
PrimeNet2600.048163.3333%130002400000.00312.6567%0.051264.3075%0.9741%
GPU722641.113965.6250%160002600000.00361.6153%1.117566.1802%0.5552%
Difference+5+36.2490+2.4909%+3984000+149740000+1.4717+6.4822%+37.7207+4.5175%+4.5175%

Known prime factors (1 factor, 71.4 bits, 0.00223410% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
319533130871296328229602776172271.387483068832747368
23 × 7 × 13367 × 645337709
2021-10-0413367645337709227.634.34078.1042

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-14T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.203%
2013-01-08T01:34:00Squeeky_SquirrelT7500_22002150006235000---0.067--3.316%
2018-09-04T00:51:13Jocelyn Larouchelow 4M5203001040600---0.068--2.289%
2018-09-04T09:57:14Jocelyn Larouchelow 4M5203001560900---0.071--2.612%
2018-09-04T22:49:15Jocelyn Larouchelow 4M5203002081200---0.075--2.844%
2018-09-05T10:15:27Jocelyn Larouchelow 4M5203002601500---0.078--3.025%
2018-09-07T07:56:54Jocelyn Larouchelow 4M5203004162400---0.089--3.410%
2019-11-19T04:58:12mikrMSI400000015000000012---1.475--8.097%
2022-03-10T20:59:50Jocelyn LaroucheManual testing1000000134343300---1.020--6.997%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-12T00:00:00ANONYMOUSv4_computers21260--0.048--
2009-04-07T05:38:00S485122USB-A260261--0.048--
2011-10-12T09:15:00markroldgamer261262--0.096--
2013-01-03T08:47:00dbaughManual testing262263--0.307--
2015-02-15T12:51:00VictordeHollanderManual testing263264--0.614--
2015-02-15T12:51:00VictordeHollanderManual testing264265--1.169--
2015-06-21T21:40:00ThaManual testing265266--2.339--
2017-05-01T03:37:58Gordon SpenceManual testing266267--4.677--
2018-12-17T13:21:56TJAOIManual testing267268--9.355--
2021-07-22T10:09:29TJAOIManual testing268269--18.71--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.220 GHz-days
Estimated T-Level:3.500
DigitsB1CurvesCompleteFacMiss
201100070 / 1000.70049.484%
255000070 / 2800.25077.845%

New Calculation Method

Total ECM effort:8.220 GHz-days
Estimated T-Level:3.500
DigitsB1CompleteFacMiss
20110002.25810.455%
25500000.20481.540%
302500000.01398.751%


ECM Summary

B1B2factorcurvesGHz-days
500005000000647.516
50000500000060.705


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-01-25T00:00:00ANONYMOUSv4_computersF1B76AC17F7BB6__0.272


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-06T03:19:37GANLMS-11
3087129632822960277617
0A05F954B35FC065no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 134343300 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 520300, B2 = 4162400 (P-1 stage 2)
B1 = 520300, B2 = 2601500 (P-1 stage 2)
B1 = 520300, B2 = 2081200 (P-1 stage 2)
B1 = 520300, B2 = 1560900 (P-1 stage 2)
B1 = 520300, B2 = 1040600 (P-1 stage 2)
B1 = 215000, B2 = 6235000 (P-1 stage 2)
B1 = 520300 (P-1 stage 1)
B1 = 215000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-10T20:59:50+00:00