is 2 2566279 - 1
has 772527 decimal digits
takes 0.178 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6E8F86599EB03FA1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26823.226267.6471%32000001120000000.91808.0779%24.144270.2605%2.6134%
PrimeNet2590.029962.7119%110002000000.00212.6884%0.032163.7143%1.0025%
GPU722630.621965.0794%120001800000.00211.4799%0.624065.5962%0.5168%
Difference+5+22.6043+2.5677%+3188000+111820000+0.9159+6.5980%+23.5201+4.6643%+4.6643%

Known prime factors (1 factor, 85.8 bits, 0.00334503% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2566279693860778462166116961450872685.84313518810278659610217
33 × 17 × 31 × 569 × 1669751443117
2020-07-0756916697514431174,875,4399,149.417,089

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.237%
2003-11-08T00:00:00Team Prime Ribv4_computers15000198750---0.003--0.757%
2010-12-21T01:09:00Jocelyn LaroucheManual testing2000020000---0.002--0.265%
2011-01-03T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.367%
2011-01-10T23:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.532%
2011-04-14T14:58:00James HeinrichWHS1750004112500---0.039--3.172%
2016-05-21T04:35:32mikrMSI320000011200000012---0.918--8.078%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.030--
1999-04-23T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:16Mark RoseManual testing259260--0.030--
2009-01-29T18:51:00Sturle Sundegilia.ifi260261--0.060--
2012-06-17T13:43:00Sebastian HornbostelManual testing261262--0.120--
2013-01-23T08:30:00dbaughManual testing262263--0.383--
2015-02-23T17:24:00VictordeHollanderManual testing263264--0.765--
2015-02-23T17:24:00VictordeHollanderManual testing264265--1.456--
2015-11-08T21:03:02ramgeisManual testing265266--2.912--
2017-08-13T10:39:20Gordon SpenceManual testing266267--5.824--
2019-06-03T11:26:13TJAOIManual testing267268--11.65--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.784 GHz-days
Estimated T-Level:2.050
DigitsB1CurvesCompleteFacMiss
201100041 / 1000.41066.228%
255000041 / 2800.14686.356%

New Calculation Method

Total ECM effort:3.784 GHz-days
Estimated T-Level:2.050
DigitsB1CompleteFacMiss
20110001.32326.645%
25500000.12088.733%
302500000.00799.267%


ECM Summary

B1B2factorcurvesGHz-days
500005000000393.599
50000500000020.185


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00ANONYMOUSv4_computers6E8F86599EB03FA10.178
1999-04-23T00:00:00ANONYMOUSv4_computers6E8F86599EB03FA10.178
2018-06-15T15:45:14kkmrkkblmbrbkold6E8F86599EB03FA10.178


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-10T13:06:30mnd9mnd
69386077846216611696145087
C5946F24FB1298BBno
2020-07-13T06:39:45roemer2201ws-rebentrost-o
69386077846216611696145087
C5946F24FB1298BBno


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 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 198750 (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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TF factor-bounds graph:
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Last modified: 2020-07-13T06:39:45+00:00