is 2 13287101 - 1
has 3999816 decimal digits
takes 5.895 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LC2AF3037737B82C6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27135.980666.1972 %50000031519950011.35217.0440 %47.332868.5783 %
Target2684.485964.7059 %90000120000000.47543.1790 %4.961365.8279 %
Difference+3+31.4947+1.4913 %+410000+303199500+10.8768+3.8650%+42.3715+2.7504 %

Known prime factors (1 factor, 71.5 bits, 0.00053790% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1328710132747363296384480929672271.472123229902807183
3 × 122861 × 334334201
2021-10-2212286133433420163.11611.79321.887

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-09-01ANONYMOUSv4_computers210000210000--0.1351.632%
2017-03-12ThaRiet-Ubuntu300000600000012--0.3624.617%
2023-10-23nordisweet16_30.8b14500000500000--0.2962.381%
2023-10-30nordisweet16_30.8b14500000315199500--12.839.143%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-06-11ANONYMOUSv4_computers212640.148
2013-05-15lycornManual testing2642650.281
2014-06-01NesowaManual testing2652660.562
2015-07-20NesowaManual testing2662671.125
2017-12-23ANONYMOUSManual testing2672682.250
2018-01-07ramgeisManual testing2682694.499
2021-08-08SRBaseManual testing2692708.998
2021-09-03SRBaseManual testing27027118.00
2021-10-22ANONYMOUSManual testing271272*
71.472
22
16.98


ECM factoring results:
Total ECM effort:0.621 GHz-days
Estimated T-Level:0.192
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.621


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-10-27ANONYMOUSv4_computersC2AF3037737B82C65.895
2005-07-01Team Prime Ribv4_computersC2AF3037737B82C65.895


PRP results:
dateuseridcompidcofactorsres64
2022-07-08Wentao HuangManual testing
3274736329638448092967
B7ECF4293612F9FD


CERT results:
dateuseridcompid
2022-07-08Graeme HolyoakeHEQ5


P-1 factor-bounds graph:
B1 = 500000, B2 = 315199500 (P-1 stage 2)
B1 = 300000, B2 = 6000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 210000 (P-1 stage 1)
104
105
106
104
105
106
107
108
109
TF factor-bounds graph:
271
270
269
268
267
266
265
264
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.19 ~= -16-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00