is 2 30781 - 1
has 9267 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
Actualunknown20000000050000000000.368648.8744%0.368648.8744%48.8744%
PrimeNet2400.000062.5000%500100000.00004.1305%0.000064.0489%1.5489%
GPU722440.000165.9091%500100000.00001.7719%0.000166.5132%0.6041%
Difference-44-0.0001-65.9091%+199999500+4999990000+0.3686+47.1025%+0.3685-17.6387%-17.6387%

Known prime factors (3 factors, 214.3 bits, 0.69630228% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
30781184687617.4953
3
-135.676e-138.857e-101.626e-9
30781263552504704620331441927280812994.412428109068426334965468840
23 × 5 × 23 × 887 × 398759 × 1315626104119
2011-03-1739875913156261041191.901e+1157.251106.93
30781679353537321818739095576366256731102.422110352739891786936599781743
3 × 41 × 47 × 149 × 128113201069213004647
2017-07-141491281132010692130046475.499e+125.575e+91.041e+10

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
30781486747214363822151530152237109564734111.907
30781125467766747354737467344712354851152937119.917
3078117904532634110909715670748157098825685658408720722
4069443927
60196.834
3078133067344185960415826580834648901108194071945314040
591713390545849
65214.329
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-06T09:36:59kkmrkkblmbrbkManual testing200000000500000000012-
skipped known factor: 184687
--0.369--41.223%


Trial Factoring results:
No TF results for M30781


ECM factoring results:

Old Calculation Method

Total ECM effort:19.688 GHz-days
Estimated T-Level:31.661
DigitsB1CurvesCompleteFacMiss
20110001346 / 10013.4600.000%
25500001346 / 2804.8070.810%
302500001109 / 6401.73317.655%
351000000525 / 15800.33271.721%
403000000514 / 47000.10989.640%

New Calculation Method

Total ECM effort:19.688 GHz-days
Estimated T-Level:31.661
DigitsB1CompleteFacMiss
2011000160.6830.000%
255000032.5180.000%
302500005.6100.366%
3510000000.81544.265%
4030000000.10190.400%
45110000000.01198.917%
50440000000.00199.896%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002370.136
250000250000005841.678
1000000100000000110.126
300000030000000048616.76
3000000300000000140.483
300000034540701470.253
300000034800000070.254


Lucas-Lehmer results:
No L-L results for M30781


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:41:11Oliver KrusePRP
184687
26355250470462033144192728081
6793535373218187390955763662567
648C38B56A7E05C0no
2017-09-21T20:27:23Oliver KruseManual testing
184687
26355250470462033144192728081
6793535373218187390955763662567
648C38B56A7E05C0no
2017-10-02T10:35:42kkmrkkblmbrbkManual testing
184687
26355250470462033144192728081
6793535373218187390955763662567
648C38B56A7E05__no
2017-12-07T03:12:41ATHxps
184687
26355250470462033144192728081
6793535373218187390955763662567
648C38B56A7E05__no
2020-04-17T13:47:28Oliver KruseManual testing
184687
26355250470462033144192728081
6793535373218187390955763662567
D6C1BD7D24CDAC__no


P-1 factor-bounds graph:
B1 = 200000000, B2 = 5000000000 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-15T05:18:25+00:00