is 2 336857 - 1
has 101405 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD3DCED843C02251Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26788.209371.6418%2000000018200000001.217411.8869%89.426775.0127%3.3709%
PrimeNet2400.000052.5000%34001000000.000116.1879%0.000160.1893%7.6893%
GPU722440.000056.8182%60001700000.000211.9793%0.000261.9911%5.1729%
Difference+23+88.2093+14.8236%+19994000+1819830000+1.2173-0.0924%+89.4266+13.0216%+13.0216%

Known prime factors (1 factor, 85.7 bits, 0.02544415% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
336857632995234247756036496337992685.71093956075463439387707
3 × 52083491 × 601317062659
2010-06-145208349160131706265931,251,722338.31630.93

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.638%
2003-03-27T00:00:00ANONYMOUSv4_computers13107213107200---0.009--3.176%
2006-01-15T00:00:00Jocelyn Larouchev4_computers336857336857---0.003--1.279%
2021-06-10T14:43:20George WoltmanManual testing200000001820000000---1.217--11.887%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-06-10T14:43:20George WoltmanManual testing1000000083000000027--0.608


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.007--
2022-03-07T06:36:42LordJuliusManual testing254255--0.007--
2001-03-11T00:00:00ANONYMOUSv4_computers21256--0.028--
2002-03-03T00:00:00ANONYMOUSv4_computers21257--0.057--
2004-01-27T00:00:00ANONYMOUSv4_computers21258--0.114--
2008-12-29T13:09:00Sturle Sunderodolfo.ifi258259--0.114--
2009-01-29T23:15:00Sturle Sundedoak.ifi259260--0.228--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.656 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000423 / 1004.2301.425%
2550000423 / 2801.51122.016%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:7.656 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8220.000%
25500003.0214.875%
302500000.28775.083%
3510000000.02297.834%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002792.138
250000250000001445.518


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-15T00:00:00ANONYMOUSv4_computersD3DCED843C02251E0.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T21:24:39Oliver KruseOllaptop
63299523424775603649633799
BACADB4737C07E__no
2017-09-23T17:11:06Oliver KruseManual testing
63299523424775603649633799
BACADB4737C07E__no
2017-10-13T03:14:58Oliver KruseGTX-3BACADB4737C07E__no
2017-12-12T19:20:51ATHxps
63299523424775603649633799
BACADB4737C07E__no
2020-04-18T15:11:11Oliver KruseAddPrpType5
63299523424775603649633799
757D8297FB6CB1__no


P-1 factor-bounds graph:
B1 = 20000000, B2 = 1820000000 (P-1 stage 2)
B1 = 20000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 336857 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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107
108
103
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105
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109
1010
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TF factor-bounds graph:
267
260
259
258
257
256
255
254
250
260
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2100
Last modified: 2022-03-07T06:36:42+00:00