is 2 2429509 - 1
has 731356 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-L-unknown--unknown-
PRPC6E331C7DB837E12verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26824.533767.6471%60000001800000001.51649.0036%26.050170.5600%2.9129%
PrimeNet2590.031662.7119%100001800000.00192.5243%0.033563.6531%0.9413%
GPU722630.656965.0794%100001500000.00171.3054%0.658765.5352%0.4558%
Difference+5+23.8768+2.5677%+5990000+179850000+1.5146+7.6983%+25.3914+5.0248%+5.0248%

Known prime factors (1 factor, 77.5 bits, 0.00319067% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
24295092163302891732460734567772477.51844521401067714932
22 × 3 × 157 × 23631316914923
2021-02-131572363131691492322,612126,118235,553

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.233%
2010-10-12T06:07:00Oscar Östlin40000640000---0.007--1.453%
2011-01-18T00:06:00Jocelyn LaroucheManual testing5000050000---0.005--0.526%
2011-01-28T10:25:00James Heinrichi7-9201650003795000---0.036--3.062%
2017-04-13T02:13:57Jocelyn Larouchelow 4M33000033000006---0.048--3.280%
2018-09-03T21:22:21Jocelyn Larouchelow 4M583081583081---0.057--1.977%
2018-09-05T22:38:02Jocelyn Larouchelow 4M660000660000---0.065--2.081%
2018-09-12T23:00:19Jocelyn Larouchelow 4M6600001980000---0.072--3.054%
2019-03-31T15:23:16Sid & AndyBullseye600000018000000012---1.516--9.004%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-07-30T00:00:00ANONYMOUSv4_computers21259--0.032--
2016-02-23T16:29:14Mark RoseManual testing259260--0.032--
2009-01-11T12:44:00Sturle Sundeklughardt.ifi260261--0.063--
2012-06-05T10:43:00Sebastian HornbostelManual testing261262--0.126--
2013-01-23T08:28:00dbaughManual testing262263--0.404--
2015-02-27T20:40:00VictordeHollanderManual testing263264--0.808--
2015-02-27T20:40:00VictordeHollanderManual testing264265--1.538--
2015-10-23T09:34:52ramgeisManual testing265266--3.076--
2017-07-08T12:01:23Gordon SpenceManual testing266267--6.152--
2019-04-15T13:43:02TJAOIManual testing267268--12.30--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.987 GHz-days
Estimated T-Level:22.000
DigitsB1CurvesCompleteFacMiss
2011000112 / 1001.12032.445%
2550000112 / 2800.40066.984%

New Calculation Method

Total ECM effort:9.987 GHz-days
Estimated T-Level:22.000
DigitsB1CompleteFacMiss
20110004.3081.346%
25500000.39967.127%
302500000.02597.517%
3510000000.00199.883%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001109.81
50000500000020.178


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-11-15T01:35:41MadPooManual testingA6081D065E9747__0.164


PRP results:
dateuseridcompidcofactorsres64PRP
2021-02-14T11:45:52M89093871
216330289173246073456777
C6E331C7DB837E12no


P-1 factor-bounds graph:
B1 = 6000000, B2 = 180000000 (P-1 stage 2)
B1 = 6000000 (P-1 stage 1)
B1 = 660000, B2 = 1980000 (P-1 stage 2)
B1 = 660000 (P-1 stage 1)
B1 = 583081 (P-1 stage 1)
B1 = 330000, B2 = 3300000 (P-1 stage 2)
B1 = 165000, B2 = 3795000 (P-1 stage 2)
B1 = 330000 (P-1 stage 1)
B1 = 165000 (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: 2021-02-14T11:45:52+00:00