is 2 3138391 - 1
has 944750 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-
PRP4015A2A4EE7464F1verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.992267.6471%30000001000000001.02248.0576%20.014670.2539%2.6069%
PrimeNet2600.048963.3333%130002400000.00312.6481%0.052164.3043%0.9710%
GPU722641.134165.6250%150002400000.00341.5431%1.137566.1554%0.5304%
Difference+4+17.8581+2.0221%+2985000+99760000+1.0191+6.5145%+18.8771+4.0985%+4.0985%

Known prime factors (1 factor, 82.6 bits, 0.00263200% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
313839173412234994496270090198732582.6021169583952326148496
24 × 26874007 × 2720063183
2021-02-22268740072720063183461,78821.42534.159

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%
2011-09-05T07:50:00Squeeky_SquirrelT7500_220055000935000---0.013--1.823%
2013-09-01T09:10:00Squeeky_SquirrelT7500_22001100002475000---0.029--2.683%
2016-11-07T17:53:36Squeeky_SquirrelP4_2600195000546000012---0.059--3.527%
2017-01-10T17:24:07Jocelyn Larouchelow 4M132000132000---0.016--1.005%
2018-07-15T19:00:18Jocelyn Larouchelow 4M6540002616000---0.094--3.414%
2018-07-16T10:16:49Jocelyn Larouchelow 4M6540003270000---0.098--3.621%
2019-02-07T11:25:49mikrMSI300000010000000012---1.022--8.058%
2022-02-22T08:54:02Jocelyn LaroucheManual testing1000000128282700---0.979--7.564%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-13T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-04-11T07:11:00S485122USB-A260261--0.049--
2011-11-10T05:12:00Grant 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--1.191--
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:4.331 GHz-days
Estimated T-Level:1.850
DigitsB1CurvesCompleteFacMiss
201100037 / 1000.37068.945%
255000037 / 2800.13287.601%

New Calculation Method

Total ECM effort:4.331 GHz-days
Estimated T-Level:1.850
DigitsB1CompleteFacMiss
20110001.19430.314%
25500000.10889.774%
302500000.00799.338%


ECM Summary

B1B2factorcurvesGHz-days
500005000000364.214
50000500000010.117


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-15T00:00:00ANONYMOUSv4_computers245A63A5394328__0.267


PRP results:
dateuseridcompidcofactorsres64PRP
2021-02-24T02:37:53yoyorocks1
7341223499449627009019873
4015A2A4EE7464F1no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 128282700 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 654000, B2 = 3270000 (P-1 stage 2)
B1 = 654000, B2 = 2616000 (P-1 stage 2)
B1 = 654000 (P-1 stage 1)
B1 = 195000, B2 = 5460000 (P-1 stage 2)
B1 = 110000, B2 = 2475000 (P-1 stage 2)
B1 = 195000 (P-1 stage 1)
B1 = 132000 (P-1 stage 1)
B1 = 110000 (P-1 stage 1)
B1 = 55000, B2 = 935000 (P-1 stage 2)
B1 = 55000 (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:
268
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266
265
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Last modified: 2022-02-22T08:54:02+00:00