is 2 836327 - 1
has 251760 decimal digits
takes 0.020 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LAF32910759F35BE1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26735.529170.1493%100000008100000001.884211.1550%37.413373.4791%3.3298%
PrimeNet2400.000050.0000%80003200000.000922.7929%0.000961.3964%11.3964%
GPU722440.000054.5455%140005500000.001517.5376%0.001562.5171%7.9716%
Difference+23+35.5291+15.6038%+9986000+809450000+1.8827-6.3826%+37.4118+10.9620%+10.9620%

Known prime factors (1 factor, 60.3 bits, 0.00720889% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
83632714094961982366382171960.290842670509404
22 × 71 × 2967149681
2009-07-297129671496810.21245.684310.617

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.206%
2002-02-10T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.439%
2002-04-07T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.792%
2002-05-18T00:00:00ANONYMOUSv4_computers163841638400---0.004--1.285%
2002-06-15T00:00:00ANONYMOUSv4_computers327683276800---0.007--1.925%
2002-12-02T00:00:00ANONYMOUSv4_computers655376553700---0.015--2.705%
2003-07-30T00:00:00ANONYMOUSv4_computers13107213107200---0.029--3.613%
2021-07-26T07:00:57gLaussManual testing10000000810000000---1.884--11.155%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-07-26T07:00:56gLaussManual testing500000036000000027--0.769


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-08-10T00:00:00ANONYMOUSv4_computers21255--0.006--
2001-01-21T00:00:00ANONYMOUSv4_computers21256--0.011--
2001-10-20T00:00:00ANONYMOUSv4_computers21257--0.023--
2003-09-09T00:00:00ANONYMOUSv4_computers21258--0.046--
2008-10-14T18:54:00Sturle Sundenikabrik.ifi258259--0.046--
2008-10-14T19:29:00Sturle Sundenikabrik.ifi259260--0.092--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.876 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000322 / 1003.2203.931%
2550000322 / 2801.15031.599%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:13.876 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.6920.000%
25500001.60920.008%
302500000.13187.737%
3510000000.00999.133%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002787.746
25000025000000446.130


Lucas-Lehmer results:
No L-L results for M836327


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T03:19:20Oliver KruseGTX-3
1409496198236638217
66A3DDE682DF9A__no
2017-10-14T07:11:19Oliver KruseThreadripper66A3DDE682DF9A__no
2017-12-19T02:47:59ATHec2-1xf
1409496198236638217
66A3DDE682DF9A__no
2020-04-21T18:58:22Oliver KruseAddPrpType5
1409496198236638217
F7E71A5854ED69__no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 810000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
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)
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1010
TF factor-bounds graph:
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2100
Last modified: 2021-07-26T07:00:57+00:00