is 2 2111093 - 1
has 635503 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-LB260CACD692EFD26double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.075167.1642%14000030100000.02833.1008%14.103468.1823%1.0182%
PrimeNet2580.018262.0690%90001600000.00162.6804%0.019863.0857%1.0167%
GPU722620.291064.5161%100001400000.00161.4529%0.292665.0317%0.5155%
Difference+5+13.7841+2.6481%+130000+2870000+0.0266+1.6479%+13.8107+3.1507%+3.1507%

Known prime factors (1 factor, 73.6 bits, 0.00348673% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2111093143971109932875509614312373.6083409871330464255
5 × 47 × 14510090767933
2016-05-2947145100907679331,246.475,369140,768

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.277%
2009-08-02T07:55:00harleeP4_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%
2011-01-27T18:15:00James HeinrichQ66001400003010000---0.028--3.101%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00Martijn Ottov4_computers21258--0.018--
2016-02-23T16:29:05Mark RoseManual testing258260--0.055--
2009-01-03T09:38:00Sturle Sundeghibu.ifi260261--0.073--
2012-03-31T07:48:00Sebastian 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--1.770--
2015-12-27T16:49:19ramgeisManual testing265266--3.540--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.959 GHz-days
Estimated T-Level:1.150
DigitsB1CurvesCompleteFacMiss
201100023 / 1000.23079.361%
255000023 / 2800.08292.100%

New Calculation Method

Total ECM effort:1.959 GHz-days
Estimated T-Level:1.150
DigitsB1CompleteFacMiss
20110000.74247.619%
25500000.06793.514%
302500000.00499.588%


ECM Summary

B1B2factorcurvesGHz-days
500005000000211.788
50000500000020.170


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00Martijn Ottov4_computersB260CACD692EFD260.139


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-07T04:02:11Oliver KruseGTX-1
14397110993287550961431
AE98DE92F031DA__no
2017-11-17T08:11:07ATHec2-1xf
14397110993287550961431
AE98DE92F031DA__no


P-1 factor-bounds graph:
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: 2017-11-17T08:11:07+00:00