is 2 13276891 - 1
has 3996743 decimal digits
takes 5.891 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L9F811861A2CD60CBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27017.997565.7143%15500020537500.16632.6778%18.163866.6324%0.9181%
PrimeNet2640.268162.5000%6000017000000.09614.3505%0.364264.1314%1.6314%
GPU722684.489464.7059%9000024000000.13893.1787%4.628265.8278%1.1219%
Difference+2+13.5081+1.0084%+65000-346250+0.0274-0.5008%+13.5355+0.8046%+0.8046%

Known prime factors (1 factor, 71.2 bits, 0.00053644% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1327689127562043676137147162412271.223103797054883320
23 × 3 × 5 × 29 × 150929 × 197621
2021-08-1915092919762150.0430.09870.1976

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-01T00:00:00ANONYMOUSv4_computers1550002053750---0.166--2.678%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-19T21:43:25ATHec2-P_120000020000027P-12271.2230.180


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-05-17T00:00:00ANONYMOUSv4_computers?264--0.148--
2013-05-16T06:49:00lycornManual testing264265--0.281--
2014-06-01T00:19:00NesowaManual testing265266--0.563--
2015-07-20T10:34:00NesowaManual testing266267--1.126--
2017-12-23T00:04:53-Anonymous-Manual testing267268--2.251--
2018-01-29T09:55:03ramgeisManual testing268269--4.503--
2021-08-08T08:34:54SRBaseManual testing269270--9.005--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.675 GHz-days
Estimated T-Level:0.050
DigitsB1CurvesCompleteFacMiss
20110001 / 1000.01099.000%
25500001 / 2800.00499.643%

New Calculation Method

Total ECM effort:0.675 GHz-days
Estimated T-Level:0.050
DigitsB1CompleteFacMiss
20110000.03296.826%
25500000.00399.709%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.675


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-15T00:00:00ANONYMOUSv4_computers9F811861A2CD60CB5.891
2005-02-12T00:00:00Sturle Sundev4_computers9F811861A2CD60CB5.891


PRP results:
Exponent "13276891" not found


P-1 factor-bounds graph:
B1 = 155000, B2 = 2053750 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 155000 (P-1 stage 1)
104
105
106
104
105
106
107
TF factor-bounds graph:
270
269
268
267
266
265
264
250
260
270
280
290
2100
Last modified: 2021-08-19T21:43:25+00:00