is 2 3716857 - 1
has 1118886 decimal digits
takes 0.390 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-
PRP4DCE921FCEE372D0verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27064.288468.5714%140000007000000007.823910.2462%72.112371.7917%3.2202%
PrimeNet2600.041363.3333%160003200000.00503.0861%0.046364.4649%1.1316%
GPU722640.957665.6250%220004500000.00692.1073%0.964566.3494%0.7244%
Difference+6+63.3307+2.9464%+13978000+699550000+7.8170+8.1389%+71.1478+5.4423%+5.4423%

Known prime factors (1 factor, 76.9 bits, 0.00206948% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
37168571429262263432844565399192476.92019226758837276287
33 × 11 × 227 × 285183091373
2021-10-092272851830913736,440.92,366.24,419.4

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T10:52:00Carsten Kossendeyleela20000265000---0.005--0.729%
2012-12-14T13:29:00Squeeky_SquirrelT7500_22002450007717500---0.099--3.248%
2021-05-19T10:48:38axnManual testing14000000700000000---7.824--10.246%
2022-03-04T04:17:48Jocelyn LaroucheManual testing9000090000---0.014--0.623%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-01-05T00:00:00ANONYMOUSv4_computers21260--0.041--
2009-03-06T05:54:00S485122USB-Z260261--0.041--
2011-04-24T00:37:00Grant McCrackenhome261262--0.083--
2012-04-19T23:29:00GrunwalderGIMPManual testing21263--0.429--
2016-02-23T16:29:37Mark RoseManual testing262263--0.264--
2015-01-22T10:39:00VictordeHollanderManual testing263264--0.528--
2015-01-22T10:39:00VictordeHollanderManual testing264265--1.005--
2016-02-24T09:33:34ramgeisManual testing265266--2.010--
2016-11-01T13:30:55Gordon SpenceManual testing266267--4.021--
2019-01-14T11:03:45TJAOIManual testing267268--8.042--
2020-12-15T01:55:31axnManual testing268269--16.08--
2021-03-08T13:56:20axnManual testing269270--32.17--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.451 GHz-days
Estimated T-Level:1.100
DigitsB1CurvesCompleteFacMiss
201100022 / 1000.22080.163%
255000022 / 2800.07992.431%

New Calculation Method

Total ECM effort:3.451 GHz-days
Estimated T-Level:1.100
DigitsB1CompleteFacMiss
20110000.72548.420%
25500000.06693.624%
302500000.00499.594%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.790
50000500000030.448
50000675000071.213


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-01-16T00:00:00ANONYMOUSv4_computers598A7D0D72D359__0.390
1999-09-14T00:00:00ANONYMOUSv4_computersCAF1B6FBE4622A__0.390


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-15T13:04:56kutensterra
142926226343284456539919
4DCE921FCEE372D0no


P-1 factor-bounds graph:
B1 = 14000000, B2 = 700000000 (P-1 stage 2)
B1 = 14000000 (P-1 stage 1)
B1 = 245000, B2 = 7717500 (P-1 stage 2)
B1 = 245000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 20000, B2 = 265000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-04T04:17:48+00:00