is 2 2932271 - 1
has 882702 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-L569F7AD638FB8A48double-checked
PRPD02898326E861D30verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.327267.6471%1000000200000000.25125.5399%20.578469.4394%1.7923%
PrimeNet2590.026262.7119%130002600000.00333.0703%0.029563.8567%1.1449%
GPU722630.544365.0794%170003000000.00401.9454%0.548365.7587%0.6794%
Difference+5+19.7829+2.5677%+983000+19700000+0.2472+3.5945%+20.0301+3.6807%+3.6807%

Known prime factors (1 factor, 78.9 bits, 0.00268908% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29322715451723778102286772460092478.85192960776444303524
22 × 3 × 17 × 313 × 709 × 2053425743
2021-01-08709205342574335,08413.80725.787

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.246%
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.145%
2010-11-09T20:59:00markrtiny1050002283750---0.028--2.584%
2015-04-29T15:00:00VictordeHollanderManual testing100000020000000---0.251--5.540%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-04-11T00:00:00ANONYMOUSv4_computers21259--0.026--
2016-02-23T16:29:24Mark RoseManual testing259260--0.026--
2009-02-13T01:07:00Sturle Sundegolli.ifi260261--0.052--
2011-12-19T06:20:00Sebastian HornbostelManual testing261262--0.105--
2013-01-10T21:10:00dbaughManual testing262263--0.335--
2015-04-25T17:16:00VictordeHollanderManual testing263264--0.670--
2015-04-25T17:16:00VictordeHollanderManual testing264265--1.274--
2016-02-23T09:49:05ramgeisManual testing265266--2.548--
2017-11-23T20:18:50Gordon SpenceManual testing266267--5.097--
2018-12-20T02:16:15chuenkitManual testing267268--10.19--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.553 GHz-days
Estimated T-Level:2.400
DigitsB1CurvesCompleteFacMiss
201100048 / 1000.48061.729%
255000048 / 2800.17184.220%

New Calculation Method

Total ECM effort:5.553 GHz-days
Estimated T-Level:2.400
DigitsB1CompleteFacMiss
20110001.84615.784%
25500000.17184.297%
302500000.01198.928%


ECM Summary

B1B2factorcurvesGHz-days
500005000000465.321
50000500000020.231


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-11T00:00:00ANONYMOUSv4_computers569F7AD638FB8A480.250
1999-10-21T00:00:00ANONYMOUSv4_computers569F7AD638FB8A480.250


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-08T18:23:33riccardo ubertiNomad2C
545172377810228677246009
D02898326E861D30no


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 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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1010
TF factor-bounds graph:
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265
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2100
Last modified: 2021-01-08T18:23:33+00:00