is 2 80309 - 1
has 24176 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actualunknown1000000000204611697189902,426.705173.0758%2,426.705173.0758%73.0758%
PrimeNet2400.000057.5000%800120000.00006.3313%0.000060.1908%2.6908%
GPU722440.000061.3636%500100000.00002.3336%0.000062.2652%0.9016%
Difference-440.0000-61.3636%+999999500+20461169708990+2,426.7051+70.7423%+2,426.7051+10.8106%+72.1742%

Known prime factors (2 factors, 181.3 bits, 0.22580377% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
80309105725192331133.30065824
25 × 112 × 17
-1211211.778e-82.632e-75.356e-7
8030936713519222754440381603300468421672977673499945148.0412285766179553626640949538686101288334911
34 × 11 × 41 × 1019 × 51229 × 33118999 × 46478479 × 778665745411
2022-01-11464784797786657454112.209e+1292.367172.34

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
8030938815438809368653217065275357866604671048945728717
35767
55181.341
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-28T01:04:03kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 10572519233
--0.443--40.370%
2022-01-11T01:04:20George WoltmanManual testing10000000002046116971899045148.0412,4270.0004,85364.624%


Trial Factoring results:
No TF results for M80309


ECM factoring results:
Total ECM effort:10.933 GHz-days
Estimated T-Level:31.007
DigitsB1CompleteFacMiss
201100095.4900.000%
255000015.5390.000%
302500001.94714.269%
3510000000.20181.765%
4030000000.01898.243%
45110000000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.440
250000250000005854.577
10000001000000001895.915


Lucas-Lehmer results:
No L-L results for M80309


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:30:36Oliver KruseOliver-PC
10572519233
2BFEC3236734A1__no
2017-09-21T21:39:46Oliver KruseManual testing
10572519233
2BFEC3236734A1__no
2017-10-13T08:19:22kkmrkkblmbrbkManual testing
10572519233
2BFEC3236734A1__no
2020-04-17T15:16:31Oliver KruseAddPrpType5
10572519233
D20CA3DC985160__no
2022-01-11T07:45:35LordJuliusWhiteBox
10572519233
367135192227544403816033004684216729776734999
D20CA3DC98516089no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 20461169718990 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-01-11T07:45:35+00:00