is 2 3366977 - 1
has 1013562 decimal digits
takes 0.354 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFA2E64B88FF8BA94double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.702867.6471%40000001500000001.82068.8031%19.523370.4951%2.8481%
PrimeNet2600.045663.3333%140002800000.00432.8423%0.050064.3755%1.0422%
GPU722641.057165.6250%180003200000.00521.7888%1.062466.2399%0.6149%
Difference+4+16.6457+2.0221%+3982000+149680000+1.8153+7.0143%+18.4610+4.2552%+4.2552%

Known prime factors (1 factor, 92.5 bits, 0.00274579% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
336697767656451684505392631637927612892.4501004706175368964394940
22 × 3 × 5 × 37 × 257 × 277 × 47051 × 135115243
2021-01-0647051135115243526,135,7051.12792.0939

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-08T12:41:00Carsten Kossendeydurandal15000206250---0.004--0.810%
2011-10-16T02:51:00harleeP4_260055000907500---0.015--1.830%
2014-05-21T01:01:00Jocelyn LaroucheManual testing7406374063---0.011--0.725%
2014-09-23T20:52:00Jocelyn LaroucheManual testing9312693126---0.014--0.834%
2015-07-23T07:14:00Squeeky_SquirrelP4_26001650004331250---0.060--3.300%
2017-04-18T12:04:58Jocelyn Larouchelow 4M33000033000006---0.075--3.426%
2021-01-06T05:29:14mikrMSI4000000150000000122892.4501.8210.7073.6418.803%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:26Mark RoseManual testing21260--0.046--
2009-03-27T07:15:00S485122USB-A260261--0.046--
2011-08-30T00:13:00Grant McCrackenthumper261262--0.091--
2012-11-15T00:21:00GrunwalderGIMPManual testing21263--0.474--
2016-02-23T16:29:26Mark RoseManual testing262263--0.292--
2015-02-15T12:50:00VictordeHollanderManual testing263264--0.583--
2015-02-15T12:50:00VictordeHollanderManual testing264265--1.110--
2015-03-30T10:38:00Gordon SpenceManual testing265266--2.219--
2017-03-07T14:12:52Gordon SpenceManual testing266267--4.439--
2018-11-19T15:52:48TJAOIManual testing267268--8.878--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.195 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:2.195 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.195


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-04T00:00:00ANONYMOUSv4_computersFA2E64B88FF8BA940.354


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-07T06:09:47Yuji HASEGAWAvj20a
6765645168450539263163792761
D0FF3A07CC1150C3no
2021-01-07T08:28:55ATH5960X
6765645168450539263163792761
D0FF3A07CC1150C3no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 330000, B2 = 3300000 (P-1 stage 2)
B1 = 165000, B2 = 4331250 (P-1 stage 2)
B1 = 330000 (P-1 stage 1)
B1 = 165000 (P-1 stage 1)
B1 = 55000, B2 = 907500 (P-1 stage 2)
B1 = 93126 (P-1 stage 1)
B1 = 74063 (P-1 stage 1)
B1 = 55000 (P-1 stage 1)
B1 = 15000, B2 = 206250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
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290
2100
Last modified: 2021-01-07T08:28:55+00:00