is 2 2365439 - 1
has 712069 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-L92A29C1B5CC32F49double-checked
PRPB616A35BEB71D013verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.198267.6471%30000001000000000.81157.8355%26.009870.1821%2.5350%
PrimeNet2590.032562.7119%100001700000.00182.4729%0.034363.6339%0.9221%
GPU722630.674765.0794%100001400000.00171.2710%0.676465.5232%0.4438%
Difference+5+24.5235+2.5677%+2990000+99860000+0.8099+6.5645%+25.3334+4.6589%+4.6589%

Known prime factors (1 factor, 78.9 bits, 0.00333469% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23654395562289931029719017706792478.880117574157080984101
3 × 83 × 5849 × 80729247701
2020-12-3158498072924770145,491430.84804.69

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%
2010-12-30T22:15:00markrtiny1000002025000---0.020--2.408%
2014-09-10T00:51:00Jocelyn LaroucheManual testing127134127134---0.012--0.936%
2015-09-09T21:56:00mikrMSI3000000100000000---0.812--7.836%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-01T00:00:00ANONYMOUSv4_computers21259--0.032--
2016-02-23T16:29:13Mark RoseManual testing259260--0.032--
2009-01-14T21:45:00Sturle Sunderodolfo.ifi260261--0.065--
2012-05-30T18:43:00Sebastian HornbostelManual testing261262--0.130--
2013-01-23T08:26:00dbaughManual testing262263--0.415--
2015-03-09T12:35:00VictordeHollanderManual testing263264--0.830--
2015-03-09T12:35:00VictordeHollanderManual testing264265--1.580--
2015-10-30T09:42:38ramgeisManual testing265266--3.159--
2017-06-16T21:40:01Gordon SpenceManual testing266267--6.318--
2019-04-15T13:43:03TJAOIManual testing267268--12.64--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.127 GHz-days
Estimated T-Level:22.036
DigitsB1CurvesCompleteFacMiss
2011000114 / 1001.14031.799%
2550000114 / 2800.40766.506%

New Calculation Method

Total ECM effort:10.127 GHz-days
Estimated T-Level:22.036
DigitsB1CompleteFacMiss
20110004.3851.247%
25500000.40666.651%
302500000.02697.474%
3510000000.00199.880%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001099.68
50000500000050.444


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computers92A29C1B5CC32F490.160
2018-05-11T18:26:41kkmrkkblmbrbkold92A29C1B5CC32F490.160


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-01T14:58:19Niels_Mache_Nextcloudconf4-a
556228993102971901770679
B616A35BEB71D013no


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 = 127134 (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: 2021-01-01T14:58:19+00:00