is 2 2159291 - 1
has 650012 decimal digits
takes 0.142 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L767E3D44F7EA3091double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.761067.1642%500000150000000.12305.1705%13.883968.8619%1.6978%
PrimeNet2580.017862.0690%100001700000.00182.8101%0.019663.1349%1.0659%
GPU722620.284564.5161%100001600000.00171.5191%0.286365.0552%0.5390%
Difference+5+13.4764+2.6481%+490000+14840000+0.1213+3.6513%+13.5977+3.8068%+3.8068%

Known prime factors (1 factor, 72.7 bits, 0.00336819% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
215929178279388312450850677932272.7291812617852629656
23 × 3 × 73 × 1034599230953
2009-12-01731034599230953538.395,374.010,037

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.279%
2016-04-01T10:40:12alpertronManual testing5000001500000012---0.123--5.170%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2022-03-09T10:13:26LordJuliusManual testing21260--0.071--
2009-01-04T13:21:00Sturle Sundegibsy.ifi260261--0.071--
2009-01-07T11:26:00Sturle Sundeghia.ifi261262--0.142--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.574 GHz-days
Estimated T-Level:1.200
DigitsB1CurvesCompleteFacMiss
201100024 / 1000.24078.568%
255000024 / 2800.08691.772%

New Calculation Method

Total ECM effort:2.574 GHz-days
Estimated T-Level:1.200
DigitsB1CompleteFacMiss
20110001.01036.418%
25500000.09291.206%
302500000.00699.423%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000070.355
500005000000100.854
50000670315370.681
50000675809270.684


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00ANONYMOUSv4_computers767E3D44F7EA30910.142


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-09T00:08:20Oliver KruseGTX-3
7827938831245085067793
9A256CAC53722B__no
2017-11-18T21:52:28kkmrkkblmbrbkc4.xlarge
7827938831245085067793
9A256CAC53722B__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (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: 2022-08-11T21:30:17+00:00