is 2 2936741 - 1
has 884048 decimal digits
takes 0.250 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LDF5D74496DEDC545double-checked
PRPF29BA9586350E218verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.296367.6471%1000000200000000.25125.5409%20.547469.4397%1.7926%
PrimeNet2590.026162.7119%130002600000.00333.0712%0.029463.8570%1.1452%
GPU722630.543565.0794%170003000000.00401.9460%0.547565.7589%0.6795%
Difference+5+19.7528+2.5677%+983000+19700000+0.2472+3.5949%+20.0000+3.6808%+3.6808%

Known prime factors (1 factor, 71.7 bits, 0.00244209% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
293674138831924139883494596332271.718661139748787576
23 × 82642468598447
2020-11-04882642468598447311.40555,6701,037,836

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.246%
2010-11-08T07:28:00markrtiny1050002283750---0.028--2.584%
2015-04-29T15:00:00VictordeHollanderManual testing100000020000000---0.251--5.541%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:24Mark RoseManual testing21260--0.052--
2009-02-13T19:25:00Sturle Sundekinner.ifi260261--0.052--
2012-01-01T15:24:00markroldgamer261262--0.105--
2013-01-07T13:49:00dbaughManual testing262263--0.334--
2015-04-25T17:16:00VictordeHollanderManual testing263264--0.669--
2015-04-25T17:16:00VictordeHollanderManual testing264265--1.272--
2016-02-23T09:49:06ramgeisManual testing265266--2.545--
2017-11-24T17:10:12Gordon SpenceManual testing266267--5.089--
2018-12-21T08:04:34chuenkitManual testing267268--10.18--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.166 GHz-days
Estimated T-Level:1.800
DigitsB1CurvesCompleteFacMiss
201100036 / 1000.36069.641%
255000036 / 2800.12987.915%

New Calculation Method

Total ECM effort:4.166 GHz-days
Estimated T-Level:1.800
DigitsB1CompleteFacMiss
20110001.16131.308%
25500000.10590.036%
302500000.00699.356%


ECM Summary

B1B2factorcurvesGHz-days
500005000000323.703
50000500000040.463


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02T00:00:00ANONYMOUSv4_computersDF5D74496DEDC5450.250
2018-10-09T07:19:34kkmrkkblmbrbkoldDF5D74496DEDC5450.250


PRP results:
dateuseridcompidcofactorsres64PRP
2020-11-06T19:09:48LordJuliusBabybox
3883192413988349459633
F29BA9586350E218no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 105000 (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: 2020-11-06T19:09:48+00:00