is 2 12817757 - 1
has 3858530 decimal digits
takes 5.236 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFFD16D2AECD4B324double-checked
PRP42CAA1582221676Averified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2699.314265.2174%16500039187500.21893.4864%9.533066.4301%1.2127%
PrimeNet2640.277762.5000%6000017000000.08854.3284%0.366164.1231%1.6231%
GPU722684.650264.7059%9000024000000.12783.1623%4.778065.8220%1.1161%
Difference+1+4.6640+0.5115%+75000+1518750+0.0910+0.3242%+4.7550+0.6081%+0.6081%

Known prime factors (1 factor, 72.5 bits, 0.00056590% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1281775768486354335664103593532272.536267154207774668
22 × 32 × 1493 × 4970495791
2019-10-0714934970495791105.43160.40299.57

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-16T00:00:00Masonv4_computers1650003918750---0.219--3.486%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-27T00:00:00ANONYMOUSv4_computers21264--0.278--
2013-06-04T08:18:00lycornManual testing264265--0.291--
2014-04-27T15:09:00NesowaManual testing265266--0.583--
2015-04-08T09:43:00ThaManual testing266267--1.166--
2018-01-07T23:29:42ramgeisManual testing267268--2.332--
2018-01-07T23:29:42ramgeisManual testing268269--4.664--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.242 GHz-days
Estimated T-Level:0.100
DigitsB1CurvesCompleteFacMiss
20110002 / 1000.02098.010%
25500002 / 2800.00799.287%

New Calculation Method

Total ECM effort:1.242 GHz-days
Estimated T-Level:0.100
DigitsB1CompleteFacMiss
20110000.06593.752%
25500000.00699.419%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.621
50000500000010.621


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-03-27T00:00:00Masonv4_computersFFD16D2AECD4B3245.236
2004-11-22T00:00:00Team Prime Ribv4_computersFFD16D2AECD4B3245.236
2004-11-30T00:00:00Team Prime Ribv4_computersFFD16D2AECD4B3245.236


PRP results:
dateuseridcompidcofactorsres64PRP
2022-05-14T09:59:20Poaooffice-CN3
6848635433566410359353
42CAA1582221676Ano


P-1 factor-bounds graph:
B1 = 165000, B2 = 3918750 (P-1 stage 2)
B1 = 165000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
269
268
267
266
265
264
250
260
270
280
290
2100
Last modified: 2022-05-14T09:59:20+00:00