is 2 2109959 - 1
has 635161 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-LA6AD29EDF1BA41F6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.082767.1642%500000150000000.12305.1561%14.205768.8572%1.6931%
PrimeNet2580.018262.0690%90001600000.00162.6801%0.019863.0856%1.0166%
GPU722620.291264.5161%100001400000.00161.4527%0.292865.0316%0.5155%
Difference+5+13.7915+2.6481%+490000+14860000+0.1214+3.7034%+13.9129+3.8256%+3.8256%

Known prime factors (1 factor, 75.0 bits, 0.00355362% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2109959372553990963146342302632374.9808828465173094509
8828465173094509
2015-08-03188284651730945092,727.445,857,25585,648,582

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.277%
2009-08-02T06:23:00harleeP4_260020000260000---0.003--1.021%
2010-12-30T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.415%
2011-01-10T23:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.596%
2011-01-25T14:52:00James HeinrichQ66001400003010000---0.028--3.101%
2016-03-18T10:42:18alpertronManual testing5000001500000012---0.123--5.156%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00ANONYMOUSv4_computers21258--0.018--
2022-03-09T09:12:33LordJuliusManual testing21260--0.073--
2009-01-03T12:04:00Sturle Sundeghia.ifi260261--0.073--
2012-03-30T08:48:00Sebastian HornbostelManual testing261262--0.146--
2013-09-05T08:28:00ramgeisManual testing262263--0.465--
2015-03-15T12:13:00VictordeHollanderManual testing263264--0.930--
2015-03-15T12:13:00VictordeHollanderManual testing264265--1.771--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.448 GHz-days
Estimated T-Level:0.850
DigitsB1CurvesCompleteFacMiss
201100017 / 1000.17084.294%
255000017 / 2800.06194.099%

New Calculation Method

Total ECM effort:1.448 GHz-days
Estimated T-Level:0.850
DigitsB1CompleteFacMiss
20110000.54857.788%
25500000.05095.165%
302500000.00399.695%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.277
50000500000020.170


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00ANONYMOUSv4_computersA6AD29EDF1BA41F60.139


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-07T03:35:20Oliver KruseGTX-2
37255399096314634230263
071CF7F079BF6B__no
2017-11-17T10:08:51kkmrkkblmbrbkc4.xlarge
37255399096314634230263
071CF7F079BF6B__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: 2022-03-09T09:12:33+00:00