is 2 3192577 - 1
has 961062 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-
PRPA2222417FE3ED4ABverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.669867.6471%40000001500000001.47538.7590%20.145170.4809%2.8338%
PrimeNet2600.048163.3333%130002400000.00312.6563%0.051264.3073%0.9740%
GPU722641.114965.6250%160002600000.00361.6150%1.118566.1802%0.5552%
Difference+4+17.5550+2.0221%+3984000+149740000+1.4717+7.1440%+19.0267+4.3007%+4.3007%

Known prime factors (1 factor, 85.1 bits, 0.00266546% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3192577413712481575988890310832712685.0976479287446723898755
3 × 5 × 13 × 19417 × 1711238353577
2021-01-191941717112383535772,876,70211,50621,490

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-14T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.252%
2014-08-21T21:46:00Jocelyn LaroucheManual testing8564085640---0.011--0.785%
2014-11-01T00:51:00Jocelyn LaroucheManual testing105744105744---0.013--0.889%
2015-12-08T00:47:13Squeeky_SquirrelP4_260015500039137506---0.044--3.171%
2016-05-18T03:30:09Jocelyn LaroucheManual testing34602962285226---0.082--3.946%
2019-11-05T14:17:56mikrMSI400000015000000012---1.475--8.759%
2022-02-27T01:57:42Jocelyn LaroucheManual testing1000000134343300---1.020--7.628%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-04T00:00:00ANONYMOUSv4_computers21260--0.048--
2009-04-08T17:57:00S485122USB-A260261--0.048--
2011-10-19T05:14:00markroldgamer261262--0.096--
2013-01-03T08:47:00dbaughManual testing262263--0.307--
2015-02-15T12:51:00VictordeHollanderManual testing263264--0.615--
2015-02-15T12:51:00VictordeHollanderManual testing264265--1.170--
2015-06-21T21:40:00ThaManual testing265266--2.341--
2017-05-01T03:37:57Gordon SpenceManual testing266267--4.681--
2018-12-24T09:14:05TJAOIManual testing267268--9.363--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.405 GHz-days
Estimated T-Level:1.450
DigitsB1CurvesCompleteFacMiss
201100029 / 1000.29074.717%
255000029 / 2800.10490.144%

New Calculation Method

Total ECM effort:3.405 GHz-days
Estimated T-Level:1.450
DigitsB1CompleteFacMiss
20110000.93539.240%
25500000.08591.893%
302500000.00599.481%


ECM Summary

B1B2factorcurvesGHz-days
500005000000222.583
50000500000070.822


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-15T00:00:00ANONYMOUSv4_computers94A8704BD4775F__0.272


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-19T15:15:24mrhlanai
41371248157598889031083271
A2222417FE3ED4ABno


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 = 346029, B2 = 6228522 (P-1 stage 2)
B1 = 155000, B2 = 3913750 (P-1 stage 2)
B1 = 346029 (P-1 stage 1)
B1 = 155000 (P-1 stage 1)
B1 = 105744 (P-1 stage 1)
B1 = 85640 (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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265
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2100
Last modified: 2022-02-27T01:57:42+00:00