is 2 2113667 - 1
has 636278 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-LBC6CC8F01C5D06A6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.058067.1642%500000150000000.12305.1572%14.181068.8576%1.6934%
PrimeNet2580.018262.0690%90001600000.00162.6810%0.019863.0859%1.0169%
GPU722620.290764.5161%100001400000.00161.4532%0.292365.0318%0.5157%
Difference+5+13.7673+2.6481%+490000+14860000+0.1214+3.7040%+13.8887+3.8258%+3.8258%

Known prime factors (1 factor, 77.5 bits, 0.00366572% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21136672109413916998413911674872477.48149899390892662229
49899390892662229
2015-08-0414989939089266222924,602259,189,911484,094,575

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.277%
2009-08-02T10:51:00harleeP4_260020000260000---0.003--1.022%
2010-12-30T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.415%
2011-01-10T23:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.597%
2011-01-28T00:56:00James Heinrichi7-9201400003010000---0.028--3.101%
2016-03-22T11:28:44alpertronManual testing5000001500000012---0.123--5.157%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00ANONYMOUSv4_computers21258--0.018--
2022-03-09T09:12:34LordJuliusManual testing21260--0.073--
2009-01-03T09:55:00Sturle Sundegiacco.ifi260261--0.073--
2012-04-01T10:47:00Sebastian HornbostelManual testing261262--0.145--
2013-09-05T08:28:00ramgeisManual testing262263--0.464--
2015-03-15T12:13:00VictordeHollanderManual testing263264--0.929--
2015-03-15T12:13:00VictordeHollanderManual testing264265--1.768--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.533 GHz-days
Estimated T-Level:0.900
DigitsB1CurvesCompleteFacMiss
201100018 / 1000.18083.451%
255000018 / 2800.06493.763%

New Calculation Method

Total ECM effort:1.533 GHz-days
Estimated T-Level:0.900
DigitsB1CompleteFacMiss
20110000.58155.954%
25500000.05294.888%
302500000.00399.677%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.277
50000500000030.255


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00ANONYMOUSv4_computersBC6CC8F01C5D06A60.139


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:24:48alpertronManual testing
210941391699841391167487
7855648496382E__no
2017-10-21T14:09:34Oliver KruseThreadripper
210941391699841391167487
7855648496382E__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: 2022-03-09T09:12:34+00:00