is 2 3138589 - 1
has 944810 decimal digits
takes 0.267 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-
PRP1C6184E2CE5F1086verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.991067.6471%30000001000000001.02248.0577%20.013470.2540%2.6069%
PrimeNet2600.048963.3333%130002400000.00312.6481%0.052164.3043%0.9710%
GPU722641.134165.6250%150002400000.00341.5431%1.137466.1555%0.5305%
Difference+4+17.8569+2.0221%+2985000+99760000+1.0191+6.5146%+18.8760+4.0985%+4.0985%

Known prime factors (1 factor, 87.1 bits, 0.00277498% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31385891652874920467977750227379612787.09526331496740541334820
22 × 3 × 5 × 438858279009022247
2021-03-25543885827900902224718,675,7082.951e+95.511e+9

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.251%
2009-07-03T00:57:00Carsten Kossendeyleela15000183750---0.003--0.769%
2011-11-02T23:05:00markrtiny2100005460000---0.061--3.569%
2018-08-06T19:37:33Jocelyn Larouchelow 4M420000840000---0.055--2.345%
2018-08-07T17:09:34Jocelyn Larouchelow 4M4200001260000---0.057--2.678%
2018-08-13T19:32:42Jocelyn Larouchelow 4M4200003360000---0.072--3.502%
2018-08-14T23:01:50Jocelyn Larouchelow 4M4200003780000---0.074--3.602%
2019-02-08T17:08:42mikrMSI300000010000000012---1.022--8.058%
2022-01-24T00:01:35Jocelyn LaroucheManual testing1000000119912100---0.923--7.491%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-13T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-04-12T16:31:00S485122USB-Z260261--0.049--
2011-11-10T10:12:00Grant McCrackenthumper261262--0.098--
2013-01-03T08:44:00dbaughManual testing262263--0.313--
2015-02-11T09:10:00VictordeHollanderManual testing263264--0.626--
2015-02-11T09:10:00VictordeHollanderManual testing264265--1.190--
2015-06-14T13:51:00ThaManual testing265266--2.381--
2017-04-17T17:51:58Gordon SpenceManual testing266267--4.762--
2019-01-07T14:44:23TJAOIManual testing267268--9.52--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.502 GHz-days
Estimated T-Level:2.350
DigitsB1CurvesCompleteFacMiss
201100047 / 1000.47062.353%
255000047 / 2800.16884.522%

New Calculation Method

Total ECM effort:5.502 GHz-days
Estimated T-Level:2.350
DigitsB1CompleteFacMiss
20110001.80816.403%
25500000.16784.598%
302500000.01198.951%


ECM Summary

B1B2factorcurvesGHz-days
500005000000435.033
50000500000040.468


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-12T00:00:00ANONYMOUSv4_computersD30D22ABCCC9CE__0.267


PRP results:
dateuseridcompidcofactorsres64PRP
2021-04-01T14:30:19Chang Chia-Tcheexbpc13
165287492046797775022737961
1C6184E2CE5F1086no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 119912100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 420000, B2 = 3780000 (P-1 stage 2)
B1 = 420000, B2 = 3360000 (P-1 stage 2)
B1 = 210000, B2 = 5460000 (P-1 stage 2)
B1 = 420000, B2 = 1260000 (P-1 stage 2)
B1 = 420000, B2 = 840000 (P-1 stage 2)
B1 = 420000 (P-1 stage 1)
B1 = 210000 (P-1 stage 1)
B1 = 15000, B2 = 183750 (P-1 stage 2)
B1 = 15000 (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: 2022-01-24T00:01:35+00:00