is 2 8117831 - 1
has 2443711 decimal digits
takes 2.120 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4E07E831F994BB9Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2687.342566.1765%21500053750000.18784.0541%7.530367.5477%1.3712%
PrimeNet2630.196663.4921%360009000000.03153.6141%0.228164.8115%1.3194%
GPU722673.660365.6716%5500012000000.04442.5728%3.704866.5548%0.8832%
Difference+1+3.6821+0.5048%+160000+4175000+0.1434+1.4813%+3.8255+0.9929%+0.9929%

Known prime factors (1 factor, 63.6 bits, 0.00078302% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8117831136407974135393943592063.565840175005709
13 × 29 × 31 × 97 × 741131
2012-09-22977411310.40020.01530.0286

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-08-17T00:00:00ANONYMOUSv4_computers35000201250---0.017--1.224%
unknown2150005375000---0.188--4.054%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-08-30T00:00:00ANONYMOUSv4_computers21261--0.038--
1998-09-13T00:00:00Baquarav4_computers21262--0.076--
1999-03-15T00:00:00ANONYMOUSv4_computers21263--0.197--
2022-04-09T01:54:27LordJuliusManual testing2126463.565200.4004.3130.814
2022-04-09T01:54:27LordJuliusManual testing264265--0.460--
2022-04-09T01:54:27LordJuliusManual testing265266--0.921--
2022-04-09T01:54:27LordJuliusManual testing266267--1.841--
2022-03-04T22:50:21FlaukrotistManual testing267268--3.682--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.000 GHz-days
DigitsB1CurvesCompleteFacMiss

New Calculation Method

Total ECM effort:0.000 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-30T00:00:00ANONYMOUSv4_computers4E07E831F994BB9C2.120
2003-04-27T00:00:00Team Prime Ribv4_computers4E07E831F994BB9C2.120


PRP results:
dateuseridcompidcofactorsres64PRP
2018-08-19T03:52:20Oliver KruseGTX-5
13640797413539394359
2A514D8F81DE82__no
2020-02-10T21:05:10oodairacom1
13640797413539394359
2A514D8F81DE82F5no


P-1 factor-bounds graph:
B1 = 215000, B2 = 5375000 (P-1 stage 2)
B1 = 215000 (P-1 stage 1)
B1 = 35000, B2 = 201250 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
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TF factor-bounds graph:
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250
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2100
Last modified: 2022-04-09T01:54:27+00:00