is 2 308317 - 1
has 92813 decimal digits
takes 0.002 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
Actualunknown50000500000.000515.0102%0.000515.0102%15.0102%
PrimeNet2400.000052.5000%3200900000.000115.6248%0.000159.9218%7.4218%
GPU722440.000056.8182%55001500000.000111.4371%0.000161.7569%4.9388%
Difference-440.0000-56.8182%+44500-100000+0.0004+3.5731%+0.0004-46.7468%-46.7468%

Known prime factors (2 factors, 130.5 bits, 0.04231681% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
308317435707418071135.34370659
33 × 2617
-2726171.921e-81.733e-62.747e-6
308317432676363339664749038021779212995.12770167451574137129810880
26 × 5 × 71 × 317 × 9742448401349737
2021-10-2231797424484013497374.236e+105,473,09110,222,210

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
308317188520301130642530222750985680016704324740130.470
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-02-06T16:52:20Lisander ViaeneManual testing5000050000-
skipped known factor: 43570741807
--0.001--9.793%


Trial Factoring results:
No TF results for M308317


ECM factoring results:

Old Calculation Method

Total ECM effort:16.479 GHz-days
Estimated T-Level:27.688
DigitsB1CurvesCompleteFacMiss
2011000625 / 1006.2500.187%
2550000625 / 2802.23210.687%
30250000344 / 6400.53858.396%

New Calculation Method

Total ECM effort:16.479 GHz-days
Estimated T-Level:27.688
DigitsB1CompleteFacMiss
201100037.7310.000%
25500005.0540.638%
302500000.50960.083%
3510000000.04096.050%
4030000000.00399.737%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002812.145
250000250000001445.497
25000036750000451.988
250000367500001556.848


Lucas-Lehmer results:
No L-L results for M308317


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T16:06:33Oliver KruseOllaptop
43570741807
8C4EF65BBD1FB3__no
2017-09-22T20:37:33Oliver KruseManual testing
43570741807
8C4EF65BBD1FB3__no
2017-10-12T22:53:28Oliver KruseGTX-08C4EF65BBD1FB3__no
2017-12-11T11:19:40ATHxps
43570741807
8C4EF65BBD1FB3__no
2020-04-18T07:37:46Oliver KruseAddPrpType5
43570741807
0E4297ACE9D80D__no
2021-10-22T10:23:08nordisweet16
43570741807
43267636333966474903802177921
0E4297ACE9D80D12no
2021-10-22T11:51:42JackBlockWin10
43570741807
43267636333966474903802177921
0E4297ACE9D80D12no


P-1 factor-bounds graph:
B1 = 50000 (P-1 stage 1)
100
101
102
103
104
105
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
TF factor-bounds graph:
230
240
250
260
270
280
290
2100
Last modified: 2022-02-06T16:52:20+00:00