is 2 2568361 - 1
has 773154 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-L0E2D6C039CD7D2E2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26711.569267.1642%32000001120000000.91808.7499%12.487270.0373%2.8731%
PrimeNet2590.029962.7119%110002000000.00212.6888%0.032063.7145%1.0026%
GPU722630.621465.0794%120001800000.00211.4801%0.623565.5962%0.5169%
Difference+4+10.9478+2.0848%+3188000+111820000+0.9159+7.2697%+11.8637+4.4410%+4.4410%

Known prime factors (1 factor, 101.4 bits, 0.00394613% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2568361323304370908539639564597594976131101.351629398224993565233946080
25 × 32 × 5 × 11 × 31 × 1171 × 2939 × 3967 × 93883649
2016-05-313967938836497.141e+100.51480.9608

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.293%
2003-11-08T00:00:00Team Prime Ribv4_computers15000202500---0.003--0.891%
2010-12-21T01:09:00Jocelyn LaroucheManual testing2000020000---0.002--0.316%
2011-01-03T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.433%
2011-01-10T23:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.621%
2011-04-15T19:11:00James HeinrichWHS1750004112500---0.039--3.540%
2016-06-01T02:38:54mikrMSI32000001120000001231101.3510.9180.3561.8368.750%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:16Mark RoseManual testing259260--0.030--
2009-01-28T05:11:00Sturle Sundedittersdorf.ifi260261--0.060--
2012-06-17T16:43:00Sebastian HornbostelManual testing261262--0.120--
2013-01-23T08:30:00dbaughManual testing262263--0.382--
2015-02-23T17:24:00VictordeHollanderManual testing263264--0.764--
2015-02-23T17:24:00VictordeHollanderManual testing264265--1.455--
2015-11-08T21:03:03ramgeisManual testing265266--2.910--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.662 GHz-days
Estimated T-Level:0.900
DigitsB1CurvesCompleteFacMiss
201100018 / 1000.18083.451%
255000018 / 2800.06493.763%

New Calculation Method

Total ECM effort:1.662 GHz-days
Estimated T-Level:0.900
DigitsB1CompleteFacMiss
20110000.58155.954%
25500000.05294.888%
302500000.00399.677%


ECM Summary

B1B2factorcurvesGHz-days
500005000000181.662


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09T00:00:00ANONYMOUSv4_computers0E2D6C039CD7D2E20.178


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-15T04:43:38Oliver KruseGTX-3
3233043709085396395645975949761
76C1BC4C4A1D51__no
2017-12-01T20:40:58kkmrkkblmbrbkc4.xlarge
3233043709085396395645975949761
76C1BC4C4A1D51__no


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 = 202500 (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)
102
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102
103
104
105
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109
TF factor-bounds graph:
267
266
265
264
263
262
261
260
259
250
260
270
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290
2100
2110
Last modified: 2017-12-01T20:40:58+00:00