is 2 2277857 - 1
has 685704 decimal digits
takes 0.150 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L773EAFAB5BC553F6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.167167.6471%2800000820000000.67837.5243%26.845470.0814%2.4343%
PrimeNet2580.016962.0690%100001900000.00192.9228%0.018763.1776%1.1086%
GPU722620.269764.5161%120001900000.00211.7089%0.271865.1225%0.6064%
Difference+6+25.8974+3.1309%+2788000+81810000+0.6763+5.8154%+26.5736+4.9589%+4.9589%

Known prime factors (1 factor, 72.1 bits, 0.00316694% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
227785751980686761480357623032272.1381140999780966943
27409 × 41628654127
2020-07-212740941628654127816.40216.23403.86

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-04-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.229%
2010-11-06T16:28:00Jocelyn LaroucheManual testing1500015000---0.001--0.200%
2010-11-14T13:24:00Jocelyn LaroucheManual testing3000030000---0.003--0.358%
2011-01-01T00:28:00markrtiny1050002152500---0.021--2.453%
2014-09-15T22:12:00ANONYMOUSManual testing133177133177---0.013--0.954%
2016-03-20T01:38:12Jocelyn LaroucheManual testing272160272160---0.026--1.386%
2016-04-07T01:57:19Jocelyn LaroucheManual testing326592587865612---0.060--3.703%
2016-04-15T08:53:50Jocelyn LaroucheManual testing326592118310376---0.091--4.266%
2018-08-30T21:10:23Jocelyn Larouchelow 4M653184653184---0.062--2.053%
2018-09-03T21:22:19Jocelyn Larouchelow 4M6531841306368---0.066--2.659%
2018-09-05T22:37:59Jocelyn Larouchelow 4M6531841959552---0.069--3.017%
2018-09-12T22:59:12Jocelyn Larouchelow 4M6531843265920---0.076--3.475%
2019-03-05T20:04:56KingNo.1_FactorFinder2800000820000006---0.678--7.524%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:11Mark RoseManual testing21260--0.067--
2009-01-10T21:17:00Sturle Sundegouffy.ifi260261--0.067--
2012-05-06T18:47:00Sebastian HornbostelManual testing261262--0.135--
2013-12-06T02:47:00Jerry HallettManual testing262263--0.431--
2015-03-10T10:45:00VictordeHollanderManual testing263264--0.862--
2015-03-10T10:45:00VictordeHollanderManual testing264265--1.640--
2015-11-01T21:51:00ramgeisManual testing265266--3.281--
2017-02-13T09:31:36Smok_bmvManual testing266267--6.561--
2019-04-22T13:11:37TJAOIManual testing267268--13.12--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.139 GHz-days
Estimated T-Level:4.150
DigitsB1CurvesCompleteFacMiss
201100083 / 1000.83043.423%
255000083 / 2800.29674.307%

New Calculation Method

Total ECM effort:7.139 GHz-days
Estimated T-Level:4.150
DigitsB1CompleteFacMiss
20110002.6776.874%
25500000.24278.507%
302500000.01598.521%


ECM Summary

B1B2factorcurvesGHz-days
500005000000816.967
50000500000020.172


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computers773EAFAB5BC553F60.150


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-20T13:55:32ATHec2-PRPCF
5198068676148035762303
4A1AB16EB74C710Cno
2020-07-21T12:51:12marssystemssystem11
5198068676148035762303
4A1AB16EB74C710Cno


P-1 factor-bounds graph:
B1 = 2800000, B2 = 82000000 (P-1 stage 2)
B1 = 2800000 (P-1 stage 1)
B1 = 326592, B2 = 11831037 (P-1 stage 2)
B1 = 653184, B2 = 3265920 (P-1 stage 2)
B1 = 653184, B2 = 1959552 (P-1 stage 2)
B1 = 653184, B2 = 1306368 (P-1 stage 2)
B1 = 653184 (P-1 stage 1)
B1 = 326592, B2 = 5878656 (P-1 stage 2)
B1 = 326592 (P-1 stage 1)
B1 = 272160 (P-1 stage 1)
B1 = 105000, B2 = 2152500 (P-1 stage 2)
B1 = 133177 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 30000 (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: 2020-07-21T12:51:12+00:00