is 2 811337 - 1
has 244237 decimal digits
takes 0.016 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1E54C32622210D55double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26736.623470.1493%100000008300000001.583411.1606%38.206873.4808%3.3315%
PrimeNet2400.000050.0000%70003000000.000722.3455%0.000761.1727%11.1727%
GPU722440.000054.5455%130005000000.001117.1454%0.001162.3388%7.7934%
Difference+23+36.6234+15.6038%+9987000+829500000+1.5823-5.9848%+38.2056+11.1420%+11.1420%

Known prime factors (1 factor, 86.8 bits, 0.01069783% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8113371342859278383502582458063592786.79582755949647526402867
82755949647526402867
2009-07-1918275594964752640286731,887,4841.306e+112.439e+11

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.204%
2002-02-10T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.436%
2002-03-31T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.786%
2002-05-18T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.277%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.914%
2002-11-16T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.693%
2003-07-13T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.598%
2016-03-17T18:52:12alpertronManual testing3000001000000012---0.024--3.956%
2021-09-26T15:35:49gLaussManual testing10000000830000000---1.583--11.161%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-10-06T16:19:39gLaussManual testing500000036500000027--0.777


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-07-25T00:00:00ANONYMOUSv4_computers21255--0.006--
2000-12-31T00:00:00ANONYMOUSv4_computers21256--0.012--
2001-10-06T00:00:00ANONYMOUSv4_computers21257--0.024--
2003-08-25T00:00:00ANONYMOUSv4_computers21258--0.047--
2008-10-11T05:35:00Sturle Sundegiovanni.ifi258259--0.047--
2008-10-11T06:04:00Sturle Sundegiovanni.ifi259260--0.095--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.438 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000324 / 1003.2403.853%
2550000324 / 2801.15731.373%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:11.438 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.7690.000%
25500001.61619.866%
302500000.13187.697%
3510000000.00999.130%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002806.405
25000025000000445.033


Lucas-Lehmer results:
No L-L results for M811337


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T01:50:30Oliver KruseGTX-0
134285927838350258245806359
95C9D28F8FE8BE__no
2017-10-14T00:31:38Oliver KruseThreadripper95C9D28F8FE8BE__no
2017-12-18T14:47:47ATHec2-1xf
134285927838350258245806359
95C9D28F8FE8BE__no
2020-04-21T08:53:34Oliver KruseAddPrpType5
134285927838350258245806359
DE04AF496516D6__no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 830000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
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)
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TF factor-bounds graph:
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Last modified: 2021-10-06T16:19:39+00:00