is 2 816587 - 1
has 245818 decimal digits
takes 0.016 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26736.387970.1493%300000100000000.02403.9589%36.411971.3310%1.1818%
PrimeNet2400.000050.0000%70003000000.000722.3608%0.000761.1804%11.1804%
GPU722440.000054.5455%140005500000.001317.4916%0.001362.4962%7.9507%
Difference+23+36.3879+15.6038%+286000+9450000+0.0227-13.5327%+36.4107+8.8348%+8.8348%

Known prime factors (1 factor, 58.6 bits, 0.00717067% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8165874233871994688330491858.555259241942052
22 × 32 × 31 × 232295647
2007-09-03312322956470.06910.36650.6846

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.205%
2002-02-10T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.437%
2002-04-07T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.787%
2002-05-18T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.279%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.917%
2002-11-24T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.695%
2003-07-21T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.601%
2016-03-17T18:52:17alpertronManual testing3000001000000012---0.024--3.959%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-07-25T00:00:00ANONYMOUSv4_computers21255--0.006--
2000-12-31T00:00:00ANONYMOUSv4_computers21256--0.012--
2001-10-13T00:00:00ANONYMOUSv4_computers21257--0.024--
2003-08-31T00:00:00ANONYMOUSv4_computers21258--0.047--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.468 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:11.468 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002816.432
25000025000000445.036


Lucas-Lehmer results:
No L-L results for M816587


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T02:09:47Oliver KruseGTX-2
423387199468833049
B897F39350E9E3__no
2017-10-14T01:14:17Oliver KruseGTX-1B897F39350E9E3__no
2017-12-17T14:58:30ATHec2-1xf
423387199468833049
B897F39350E9E3__no
2020-04-21T10:43:04Oliver KruseAddPrpType5
423387199468833049
FB40A50C7EC82F__no


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
100
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102
103
104
105
106
100
101
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109
TF factor-bounds graph:
267
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257
256
255
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260
270
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290
2100
Last modified: 2020-04-21T10:43:04+00:00