is 2 306503 - 1
has 92267 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
Actualunknown50000500000.000514.9998%0.000514.9998%14.9998%
PrimeNet2400.000052.5000%3200900000.000115.6124%0.000159.9159%7.4159%
GPU722440.000056.8182%55001500000.000111.4274%0.000161.7527%4.9346%
Difference-440.0000-56.8182%+44500-100000+0.0004+3.5723%+0.0004-46.7530%-46.7530%

Known prime factors (2 factors, 123.8 bits, 0.04040641% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
306503613007619.2261
1
-112.279e-131.031e-82.098e-8
3065033119994129927148651771773440817732104.62150896632821328806761626696
23 × 35 × 11 × 307 × 2213 × 3503324097908359
2021-09-30221335033240979083594.368e+111,968,0903,675,843

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3065031912578241604251613576659521635335823938123.847
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-02-06T16:51:46Lisander ViaeneManual testing5000050000-
skipped known factor: 613007
--0.001--9.785%


Trial Factoring results:
No TF results for M306503


ECM factoring results:

Old Calculation Method

Total ECM effort:16.654 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:16.654 GHz-days
Estimated T-Level:27.688
DigitsB1CompleteFacMiss
201100037.7310.000%
25500005.1860.560%
302500000.52359.249%
3510000000.04295.902%
4030000000.00399.726%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002812.145
250000250000001445.496
250000385000001667.481
25000038500000341.532


Lucas-Lehmer results:
No L-L results for M306503


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T15:48:08Oliver KruseOllaptop
613007
15202F37CA6CAF__no
2017-09-22T20:37:27Oliver KruseManual testing
613007
15202F37CA6CAF__no
2017-10-12T22:38:12Oliver KruseGTX-115202F37CA6CAF__no
2017-12-11T09:32:11ATHxps
613007
15202F37CA6CAF__no
2020-04-18T07:36:42Oliver KruseAddPrpType5
613007
476547F2A02474__no
2021-09-30T18:13:32H Michaelson
613007
31199941299271486517717734408177
476547F2A02474EAno
2022-05-12T18:24:57Jorge CoveiroManual testing
613007
476547F2A02474EAno


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:
210
220
230
240
250
260
270
280
290
2100
2110
Last modified: 2022-05-12T18:24:57+00:00