is 2 2024567 - 1
has 609456 decimal digits
takes 0.133 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7496679C1AE4E1D1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26829.440869.1176%40000002000000001.39948.7505%30.840271.8200%2.7024%
PrimeNet2580.019063.7931%90001500000.00162.6131%0.020664.7392%0.9461%
GPU722620.303566.1290%80001200000.00131.2739%0.304866.5605%0.4315%
Difference+6+29.1373+2.9886%+3992000+199880000+1.3981+7.4766%+30.5354+5.2595%+5.2595%

Known prime factors (1 factor, 80.8 bits, 0.00398922% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
202456720535424839954720460458712580.764507155970633590305
5 × 491 × 4079 × 50644972649
2020-01-31407950644972649149,876263.06491.33

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-04-28T00:00:00Jocelyn Larouchev4_computers20002000---0.000--0.017%
2003-01-09T00:00:00ANONYMOUSv4_computers25000418750---0.004--1.083%
2010-12-11T00:04:00Jocelyn LaroucheManual testing202456202456---0.019--1.171%
2013-10-21T11:13:00David Campeaui5-2500k58000015080000---0.131--4.746%
2019-03-20T15:32:46mikrMSI400000020000000012---1.399--8.750%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21258--0.019--
2016-02-23T16:29:03Mark RoseManual testing258260--0.057--
2009-01-02T17:00:00Sturle Sundegassmann.ifi260261--0.076--
2012-02-05T21:47:00Sebastian HornbostelManual testing261262--0.152--
2013-02-11T20:23:00dbaughManual testing262263--0.485--
2015-04-10T15:56:00VictordeHollanderManual testing263264--0.970--
2015-04-10T15:56:00VictordeHollanderManual testing264265--1.846--
2015-11-03T10:09:57ramgeisManual testing265266--3.691--
2016-07-06T22:01:12Gordon SpenceManual testing266267--7.382--
2019-03-18T03:51:02chuenkitManual testing267268--14.76--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.506 GHz-days
Estimated T-Level:3.250
DigitsB1CurvesCompleteFacMiss
201100065 / 1000.65052.034%
255000065 / 2800.23279.250%

New Calculation Method

Total ECM effort:5.506 GHz-days
Estimated T-Level:3.250
DigitsB1CompleteFacMiss
20110002.09712.285%
25500000.19082.737%
302500000.01298.840%


ECM Summary

B1B2factorcurvesGHz-days
500005000000635.337
50000500000020.169


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-02T00:00:00ANONYMOUSv4_computers7496679C1AE4E1D10.133


PRP results:
dateuseridcompidcofactorsres64PRP
2020-02-02T03:12:57ANONYMOUSdory
2053542483995472046045871
CFE49A2E8C76DAE3no
2020-02-02T18:33:14fre_gamesgpu
2053542483995472046045871
CFE49A2E8C76DAE3no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 200000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 580000, B2 = 15080000 (P-1 stage 2)
B1 = 580000 (P-1 stage 1)
B1 = 202456 (P-1 stage 1)
B1 = 25000, B2 = 418750 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-02-02T18:33:14+00:00