is 2 12768517 - 1
has 3843707 decimal digits
takes 5.216 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6E1928778CBA761Adouble-checked
PRPFE9004DD3E29A103verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2672.327164.1791%30000060000000.36165.0780%2.688765.9981%1.8190%
PrimeNet2640.278862.5000%5500017000000.08574.2632%0.364464.0987%1.5987%
GPU722684.668164.7059%9000024000000.12783.1605%4.796065.8213%1.1155%
Difference-1-2.3410-0.5268%+210000+3600000+0.2338+1.9175%-2.1072+0.1767%+0.1767%

Known prime factors (1 factor, 79.7 bits, 0.00062414% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
127685179771432450915312817101612479.69338263771943583240
23 × 3 × 5 × 43 × 59 × 125685757271
2016-04-245912568575727112,5774,055.87,575.1

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-13T00:00:00curtiscv4_computers200000200000---0.118--1.797%
2015-05-06T10:06:00ThaManual testing3000006000000---0.362--5.078%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-12T00:00:00ANONYMOUSv4_computers21264--0.279--
2013-06-06T11:21:00lycornManual testing264265--0.293--
2014-04-21T00:27:00NesowaManual testing265266--0.585--
2015-04-05T17:38:00ThaManual testing266267--1.170--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.621 GHz-days
Estimated T-Level:0.050
DigitsB1CurvesCompleteFacMiss
20110001 / 1000.01099.000%
25500001 / 2800.00499.643%

New Calculation Method

Total ECM effort:0.621 GHz-days
Estimated T-Level:0.050
DigitsB1CompleteFacMiss
20110000.03296.826%
25500000.00399.709%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.621


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-07-03T00:00:00curtiscv4_computers6E1928778CBA761A5.216
2004-10-03T00:00:00ANONYMOUSv4_computers6E1928778CBA761A5.216


PRP results:
dateuseridcompidcofactorsres64PRP
2022-05-11T11:04:07Poaooffice-CN2
977143245091531281710161
FE9004DD3E29A103no


P-1 factor-bounds graph:
B1 = 300000, B2 = 6000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
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1010
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TF factor-bounds graph:
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Last modified: 2022-05-11T11:04:07+00:00