is 2 2316511 - 1
has 697340 decimal digits
takes 0.156 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB24CCD0F6ABA0EEAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26712.827067.1642%50000003050000002.090810.2880%14.917970.5423%3.3782%
PrimeNet2580.016662.0690%100001900000.00192.9318%0.018563.1810%1.1121%
GPU722620.265264.5161%130002000000.00231.7815%0.267565.1483%0.6321%
Difference+5+12.5618+2.6481%+4987000+304800000+2.0886+8.5066%+14.6504+5.3941%+5.3941%

Known prime factors (1 factor, 89.6 bits, 0.00386840% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23165119460033786864582726609443772789.612204187111282108799108
22 × 11 × 1801 × 11305933 × 227905879
2017-09-0211305933227905879104,118,3932.26342.2717

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.285%
2010-02-19T13:17:00Budannan50000010000000---0.100--4.824%
2018-02-26T11:40:39alpertronManual testing5000001500000012---0.126--5.214%
2021-04-05T09:19:51ViliamF35000000305000000---2.091--10.288%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:11Mark RoseManual testing21260--0.066--
2009-01-13T02:20:00Sturle Sundeothello.ifi260261--0.066--
2012-05-24T12:42:00Sebastian HornbostelManual testing261262--0.133--
2013-12-06T02:46:00Jerry HallettManual testing262263--0.424--
2015-03-03T21:35:00VictordeHollanderManual testing263264--0.848--
2015-03-03T21:35:00VictordeHollanderManual testing264265--1.613--
2015-10-23T09:34:55ramgeisManual testing265266--3.226--
2017-06-04T00:25:30Gordon SpenceManual testing266267--6.452--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.657 GHz-days
Estimated T-Level:1.500
DigitsB1CurvesCompleteFacMiss
201100030 / 1000.30073.970%
255000030 / 2800.10789.823%

New Calculation Method

Total ECM effort:2.657 GHz-days
Estimated T-Level:1.500
DigitsB1CompleteFacMiss
20110000.96837.994%
25500000.08791.625%
302500000.00599.463%


ECM Summary

B1B2factorcurvesGHz-days
500005000000272.392
50000500000030.266


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computersB24CCD0F6ABA0EEA0.156


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-11T17:48:50Oliver KruseGTX-3
946003378686458272660944377
B367E8903AABEA__no
2017-11-23T01:31:21ATHec2-1xf
946003378686458272660944377
B367E8903AABEA__no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 305000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (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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265
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2100
Last modified: 2021-04-05T09:19:51+00:00