is 2 2870587 - 1
has 864133 decimal digits
takes 0.222 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF32F6F64401ED076double-checked
PRP488CC9B80B262377verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.764067.6471%50000002000000001.74989.1794%22.513870.6169%2.9698%
PrimeNet2590.026862.7119%130002400000.00282.9967%0.029663.8293%1.1174%
GPU722630.556065.0794%160002800000.00341.8696%0.559465.7322%0.6529%
Difference+5+20.2080+2.5677%+4984000+199720000+1.7464+7.3098%+21.9544+4.8846%+4.8846%

Known prime factors (1 factor, 69.3 bits, 0.00241317% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
28705877128751343002187339832169.272124168878055293
3 × 31 × 79 × 16900623119
2020-08-30791690062311960.279103.12192.60

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.245%
2009-07-03T00:53:00Carsten Kossendeyleela15000157500---0.003--0.718%
2010-12-22T11:37:00Jocelyn LaroucheManual testing2000020000---0.002--0.272%
2011-01-03T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.376%
2011-01-21T23:30:00Jocelyn LaroucheManual testing5000050000---0.006--0.544%
2011-02-05T01:49:00markrtiny1150002530000---0.028--2.684%
2016-09-15T03:47:42Jocelyn Larouchelow 4M15306527830006---0.033--2.887%
2016-09-21T12:09:24Jocelyn Larouchelow 4M1530653061300---0.035--2.951%
2016-12-18T19:43:10Jocelyn Larouchelow 4M183678183678---0.021--1.182%
2017-01-10T10:25:08Jocelyn Larouchelow 4M220413220413---0.025--1.297%
2017-03-11T20:25:02Jocelyn Larouchelow 4M31739431739406---0.053--3.307%
2017-12-27T15:42:22Jocelyn Larouchelow 4M63478863478806---0.106--4.185%
2019-10-26T17:50:08masserManual testing28800002880000012---0.481--6.427%
2020-02-27T13:59:14masserManual testing500000020000000012---1.750--9.179%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:23Mark RoseManual testing21260--0.054--
2009-02-14T10:00:00Sturle Sundeletov.ifi260261--0.054--
2012-01-24T08:25:00Grant McCrackenthumper261262--0.107--
2013-01-10T10:24:00dbaughManual testing262263--0.342--
2015-04-21T09:21:00VictordeHollanderManual testing263264--0.684--
2015-04-21T09:21:00VictordeHollanderManual testing264265--1.302--
2016-02-18T12:13:58ramgeisManual testing265266--2.603--
2017-11-12T17:07:19Gordon SpenceManual testing266267--5.206--
2019-01-09T01:09:59chuenkitManual testing267268--10.41--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.929 GHz-days
Estimated T-Level:1.400
DigitsB1CurvesCompleteFacMiss
201100028 / 1000.28075.472%
255000028 / 2800.10090.468%

New Calculation Method

Total ECM effort:2.929 GHz-days
Estimated T-Level:1.400
DigitsB1CompleteFacMiss
20110001.07734.064%
25500000.10090.516%
302500000.00699.373%


ECM Summary

B1B2factorcurvesGHz-days
500005000000242.511
50000500000040.418


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-23T00:00:00ANONYMOUSv4_computersF32F6F64401ED0760.222
2018-09-21T03:26:54kkmrkkblmbrbkoldF32F6F64401ED0760.222


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-30T14:33:18CrypticCluecruncher
712875134300218733983
488CC9B80B262377no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 2880000, B2 = 28800000 (P-1 stage 2)
B1 = 2880000 (P-1 stage 1)
B1 = 634788, B2 = 6347880 (P-1 stage 2)
B1 = 634788 (P-1 stage 1)
B1 = 317394, B2 = 3173940 (P-1 stage 2)
B1 = 317394 (P-1 stage 1)
B1 = 153065, B2 = 3061300 (P-1 stage 2)
B1 = 153065, B2 = 2783000 (P-1 stage 2)
B1 = 115000, B2 = 2530000 (P-1 stage 2)
B1 = 220413 (P-1 stage 1)
B1 = 183678 (P-1 stage 1)
B1 = 153065 (P-1 stage 1)
B1 = 115000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 157500 (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: 2020-08-30T14:33:18+00:00