is 2 2431321 - 1
has 731901 decimal digits
takes 0.164 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LEEDB6FF1E1BAC34Cdouble-checked
PRP5430A6A3278AF470verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26824.515467.6471%60000001800000001.51649.0042%26.031870.5602%2.9131%
PrimeNet2590.031662.7119%100001800000.00192.5246%0.033563.6533%0.9414%
GPU722630.656465.0794%100001500000.00171.3056%0.658265.5353%0.4559%
Difference+5+23.8590+2.5677%+5990000+179850000+1.5146+7.6987%+25.3736+5.0249%+5.0249%

Known prime factors (1 factor, 75.2 bits, 0.00309441% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2431321444663908069798466343272375.2359144491987479203
32 × 1016054665275467
2020-10-13910160546652754673,598.95,422,57110,127,852

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.233%
2010-10-08T16:18:00Oscar Östlin40000640000---0.007--1.453%
2011-01-18T22:18:00Jocelyn LaroucheManual testing5000050000---0.005--0.526%
2011-02-27T04:32:00James Heinrichi7-9203000008000000---0.070--3.936%
2017-10-23T01:37:45Jocelyn Larouchelow 4M60000060000006---0.088--4.026%
2019-03-20T05:14:07Sid & AndyBullseye600000018000000012---1.516--9.004%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.032--
2016-02-23T16:29:14Mark RoseManual testing259260--0.032--
2009-01-11T08:38:00Sturle Sundegerle.ifi260261--0.063--
2012-06-05T14:42:00Sebastian HornbostelManual testing261262--0.126--
2013-12-04T21:13:00Jerry HallettManual testing262263--0.404--
2015-02-27T20:40:00VictordeHollanderManual testing263264--0.808--
2015-02-27T20:40:00VictordeHollanderManual testing264265--1.537--
2015-10-25T20:34:59ramgeisManual testing265266--3.074--
2017-07-08T12:01:24Gordon SpenceManual testing266267--6.147--
2019-07-17T09:51:53TJAOIManual testing267268--12.29--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.224 GHz-days
Estimated T-Level:4.050
DigitsB1CurvesCompleteFacMiss
201100081 / 1000.81044.305%
255000081 / 2800.28974.841%

New Calculation Method

Total ECM effort:7.224 GHz-days
Estimated T-Level:4.050
DigitsB1CompleteFacMiss
20110003.1154.436%
25500000.28874.957%
302500000.01898.198%


ECM Summary

B1B2factorcurvesGHz-days
500005000000797.045
50000500000020.178


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computersEEDB6FF1E1BAC34C0.164
2018-05-22T04:16:07kkmrkkblmbrbkoldEEDB6FF1E1BAC34C0.164


PRP results:
dateuseridcompidcofactorsres64PRP
2020-10-17T17:29:43arnaudSRV-130
44466390806979846634327
5430A6A3278AF470no


P-1 factor-bounds graph:
B1 = 6000000, B2 = 180000000 (P-1 stage 2)
B1 = 6000000 (P-1 stage 1)
B1 = 600000, B2 = 6000000 (P-1 stage 2)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 40000, B2 = 640000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 40000 (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: 2020-10-17T17:29:43+00:00