is 2 2586271 - 1
has 778546 decimal digits
takes 0.179 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9927B98E5E66E155double-checked
PRP47FFCA60732732EAverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26823.046667.6471%32000001120000000.91808.0840%23.964770.2625%2.6154%
PrimeNet2590.029762.7119%110002000000.00212.6923%0.031863.7158%1.0039%
GPU722630.617165.0794%120001900000.00221.5060%0.619365.6053%0.5259%
Difference+5+22.4295+2.5677%+3188000+111810000+0.9158+6.5780%+23.3454+4.6572%+4.6572%

Known prime factors (1 factor, 75.3 bits, 0.00290974% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2586271450423831192784053587032375.2548707978227973481
978743 × 8897103967
2021-04-2997874388971039674,829.348.84591.055

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.237%
2003-11-08T00:00:00Team Prime Ribv4_computers15000206250---0.003--0.767%
2010-11-15T02:50:00Jocelyn LaroucheManual testing2000020000---0.002--0.266%
2011-01-12T23:59:00Jocelyn LaroucheManual testing5000050000---0.005--0.532%
2011-10-12T11:19:00markrtiny1750004112500---0.039--3.176%
2016-08-03T17:55:44mikrMSI320000011200000012---0.918--8.084%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00Dry Creek Photov4_computers21259--0.030--
2016-02-23T16:29:17Mark RoseManual testing259260--0.030--
2009-02-01T00:04:00Sturle Sundeklughardt.ifi260261--0.059--
2012-06-21T18:43:00Sebastian HornbostelManual testing261262--0.119--
2013-01-14T11:55:00dbaughManual testing262263--0.380--
2015-02-27T20:35:00VictordeHollanderManual testing263264--0.759--
2015-02-27T20:35:00VictordeHollanderManual testing264265--1.445--
2015-11-08T21:03:08ramgeisManual testing265266--2.889--
2017-08-20T12:59:35Gordon SpenceManual testing266267--5.779--
2019-06-30T15:01:57lycornManual testing267268--11.56--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.148 GHz-days
Estimated T-Level:4.950
DigitsB1CurvesCompleteFacMiss
201100099 / 1000.99036.973%
255000099 / 2800.35470.173%

New Calculation Method

Total ECM effort:9.148 GHz-days
Estimated T-Level:4.950
DigitsB1CompleteFacMiss
20110003.1944.103%
25500000.28974.929%
302500000.01898.238%


ECM Summary

B1B2factorcurvesGHz-days
500005000000968.871
50000500000030.277


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-02T00:00:00Dry Creek Photov4_computers9927B98E5E66E1550.179
2018-06-21T09:19:28kkmrkkblmbrbkold9927B98E5E66E1550.179


PRP results:
dateuseridcompidcofactorsres64PRP
2021-04-29T08:13:12SRJ2877LTOS
45042383119278405358703
47FFCA60732732EAno


P-1 factor-bounds graph:
B1 = 3200000, B2 = 112000000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 175000, B2 = 4112500 (P-1 stage 2)
B1 = 175000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 15000, B2 = 206250 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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102
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1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
250
260
270
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2100
Last modified: 2021-04-29T08:13:12+00:00