is 2 2364361 - 1
has 711744 decimal digits
takes 0.160 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF2A8F3961D4ABF76double-checked
PRPD66B542718ABAE48verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.209767.6471%30000001000000000.81157.8352%26.021370.1820%2.5349%
PrimeNet2590.032562.7119%100001700000.00182.4726%0.034363.6339%0.9220%
GPU722630.675065.0794%100001400000.00171.2709%0.676765.5232%0.4438%
Difference+5+24.5347+2.5677%+2990000+99860000+0.8099+6.5643%+25.3446+4.6588%+4.6588%

Known prime factors (1 factor, 84.1 bits, 0.00355601% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2364361204015138984638506999368412684.0774314382173124969220
22 × 5 × 11 × 109 × 4057 × 44347018427
2021-02-224057443470184272,998,474236.68442.04

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.231%
2010-11-03T21:25:00Jocelyn LaroucheManual testing2000020000---0.002--0.260%
2010-12-31T06:18:00markrtiny1000002025000---0.020--2.408%
2014-09-10T00:51:00Jocelyn LaroucheManual testing127147127147---0.012--0.936%
2015-09-06T01:04:00mikrMSI3000000100000000---0.812--7.835%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-01T00:00:00ANONYMOUSv4_computers21259--0.032--
2016-02-23T16:29:13Mark RoseManual testing259260--0.032--
2009-01-15T22:37:00Sturle Sundegooch.ifi260261--0.065--
2012-05-30T16:43:00Sebastian HornbostelManual testing261262--0.130--
2013-12-04T21:14:00Jerry HallettManual testing262263--0.415--
2015-03-09T12:35:00VictordeHollanderManual testing263264--0.830--
2015-03-09T12:35:00VictordeHollanderManual testing264265--1.580--
2015-10-29T11:36:27ramgeisManual testing265266--3.161--
2017-06-13T16:34:56Gordon SpenceManual testing266267--6.321--
2019-04-15T13:43:03TJAOIManual testing267268--12.64--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.771 GHz-days
Estimated T-Level:21.964
DigitsB1CurvesCompleteFacMiss
2011000110 / 1001.10033.103%
2550000110 / 2800.39367.465%

New Calculation Method

Total ECM effort:9.771 GHz-days
Estimated T-Level:21.964
DigitsB1CompleteFacMiss
20110004.2311.454%
25500000.39167.607%
302500000.02597.561%
3510000000.00199.885%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001079.50
50000500000030.266


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computersF2A8F3961D4ABF760.160
2018-05-11T14:14:24kkmrkkblmbrbkoldF2A8F3961D4ABF760.160


PRP results:
dateuseridcompidcofactorsres64PRP
2021-02-24T06:59:45Cork3tits
20401513898463850699936841
D66B542718ABAE48no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 100000, B2 = 2025000 (P-1 stage 2)
B1 = 127147 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 20000 (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: 2021-02-24T06:59:45+00:00