is 2 2106631 - 1
has 634160 decimal digits
takes 0.139 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6F036EAA8CE378A0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.104967.1642%500000150000000.12305.1551%14.227968.8569%1.6927%
PrimeNet2580.018262.0690%90001600000.00162.6793%0.019963.0853%1.0163%
GPU722620.291664.5161%100001400000.00161.4522%0.293365.0314%0.5153%
Difference+5+13.8133+2.6481%+490000+14860000+0.1214+3.7029%+13.9347+3.8255%+3.8255%

Known prime factors (1 factor, 75.1 bits, 0.00356705% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2106631417587465104373809763512375.1449911262701070425
52 × 396450508042817
2015-08-02253964505080428175,994.92,059,2633,846,130

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.277%
2009-08-02T01:01:00harleeP4_260020000260000---0.003--1.021%
2010-12-29T20:12:00Jocelyn LaroucheManual testing3000030000---0.003--0.415%
2011-01-10T23:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.596%
2011-01-24T23:41:00James HeinrichQ66001400003010000---0.028--3.100%
2016-03-16T12:13:28alpertronManual testing5000001500000012---0.123--5.155%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00ANONYMOUSv4_computers21258--0.018--
2022-03-09T09:12:33LordJuliusManual testing21260--0.073--
2009-01-02T20:25:00Sturle Sundefungo.ifi260261--0.073--
2012-03-29T23:48:00Sebastian HornbostelManual testing261262--0.146--
2013-09-04T10:21:00ramgeisManual testing262263--0.466--
2015-03-15T12:13:00VictordeHollanderManual testing263264--0.932--
2015-03-15T12:13:00VictordeHollanderManual testing264265--1.774--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.120 GHz-days
Estimated T-Level:1.200
DigitsB1CurvesCompleteFacMiss
201100024 / 1000.24078.568%
255000024 / 2800.08691.772%

New Calculation Method

Total ECM effort:2.120 GHz-days
Estimated T-Level:1.200
DigitsB1CompleteFacMiss
20110000.79045.395%
25500000.07193.105%
302500000.00499.560%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.277
50000500000020.170
50000657094970.672


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00ANONYMOUSv4_computersD578182538E60E__0.139


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-07T02:34:49Oliver KruseGTX-1
41758746510437380976351
8552B9B54E70A0__no
2017-11-17T08:03:41kkmrkkblmbrbkc4.xlarge
41758746510437380976351
8552B9B54E70A0__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 140000, B2 = 3010000 (P-1 stage 2)
B1 = 140000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (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: 2022-05-17T21:33:44+00:00