is 2 2863493 - 1
has 861998 decimal digits
takes 0.221 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-L57B12366CF4F742Cdouble-checked
PRPE8BC7F97A5C42A__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.815467.6471%50000002000000001.74989.1774%22.565270.6162%2.9691%
PrimeNet2590.026862.7119%130002400000.00282.9954%0.029763.8288%1.1169%
GPU722630.557465.0794%160002800000.00341.8688%0.560865.7319%0.6526%
Difference+5+20.2581+2.5677%+4984000+199720000+1.7464+7.3086%+22.0045+4.8843%+4.8843%

Known prime factors (1 factor, 79.9 bits, 0.00279003% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
286349311219296446857743116836092579.892195902285196048028
22 × 13 × 97 × 38838676684387
2021-05-28973883867668438769,669236,980442,613

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers20000240000---0.004--0.910%
2002-01-02T00:00:00ANONYMOUSv4_computers500001500000---0.014--1.974%
2014-04-19T13:00:00Jocelyn LaroucheManual testing6000060000---0.007--0.614%
2014-04-24T21:46:00ANONYMOUSManual testing100000100000---0.011--0.844%
2015-05-10T14:04:00Squeeky_SquirrelP4_26002000005850000---0.057--3.548%
2017-08-19T15:19:08Jocelyn Larouchelow 4M40000040000006---0.067--3.588%
2017-08-22T09:50:08Jocelyn Larouchelow 4M48000048000006---0.080--3.818%
2019-10-24T13:09:26masserManual testing28700002870000012---0.479--6.420%
2020-03-10T03:02:36masserManual testing500000020000000012---1.750--9.177%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-17T00:00:00ANONYMOUSv4_computers21259--0.027--
1998-05-01T00:00:00ANONYMOUSv4_computers21259--0.027--
2016-02-23T16:29:23Mark RoseManual testing259260--0.027--
2009-02-12T19:36:00Sturle Sundegigotte.ifi260261--0.054--
2012-01-20T14:26:00lycornManual testing261262--0.107--
2012-01-20T14:26:00lycornManual testing262263--0.343--
2015-04-21T09:21:00VictordeHollanderManual testing263264--0.686--
2015-04-21T09:21:00VictordeHollanderManual testing264265--1.305--
2016-02-18T12:13:56ramgeisManual testing265266--2.610--
2017-11-12T17:07:17Gordon SpenceManual testing266267--5.219--
2019-01-08T01:21:04chuenkitManual testing267268--10.44--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.208 GHz-days
Estimated T-Level:4.350
DigitsB1CurvesCompleteFacMiss
201100087 / 1000.87041.712%
255000087 / 2800.31173.252%

New Calculation Method

Total ECM effort:9.208 GHz-days
Estimated T-Level:4.350
DigitsB1CompleteFacMiss
20110003.3693.444%
25500000.31273.226%
302500000.02098.052%


ECM Summary

B1B2factorcurvesGHz-days
500005000000808.365
50000675000070.843


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-01T00:00:00ANONYMOUSv4_computers57B12366CF4F742C0.221
2000-03-27T00:00:00ANONYMOUSv4_computers57B12366CF4F742C0.221
2018-09-19T03:19:59kkmrkkblmbrbkold57B12366CF4F742C0.221


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-29T23:49:44Chad SteenersonLaura072713
1121929644685774311683609
E8BC7F97A5C42A__no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 2870000, B2 = 28700000 (P-1 stage 2)
B1 = 2870000 (P-1 stage 1)
B1 = 480000, B2 = 4800000 (P-1 stage 2)
B1 = 400000, B2 = 4000000 (P-1 stage 2)
B1 = 200000, B2 = 5850000 (P-1 stage 2)
B1 = 480000 (P-1 stage 1)
B1 = 400000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 50000, B2 = 1500000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 240000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-05-29T23:49:44+00:00