is 2 467431 - 1
has 140711 decimal digits
takes 0.006 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L46F1E4659988D0EDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26763.568671.6418%30000001000000000.14157.2288%63.710173.6917%2.0500%
PrimeNet2400.000052.5000%45001500000.000218.4413%0.000261.2596%8.7596%
GPU722440.000056.8182%80002600000.000413.9047%0.000462.8225%6.0043%
Difference+23+63.5686+14.8236%+2992000+99740000+0.1411-6.6759%+63.7097+10.8693%+10.8693%

Known prime factors (1 factor, 87.5 bits, 0.01871110% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4674312130721655320455557753295132787.461227918308297957940076
22 × 3 × 31 × 7297 × 83963769282839
2009-10-2472978396376928283979,767,68778,124145,913

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.173%
2002-01-02T00:00:00ANONYMOUSv4_computers500001000000---0.002--1.492%
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.737%
2002-09-14T00:00:00ANONYMOUSv4_computers655366553600---0.007--2.469%
2009-08-27T03:58:00Carsten Kossendeyleela467431467431---0.008--1.573%
unknown3000000100000000---0.141--7.229%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.005--
2022-03-07T07:41:13LordJuliusManual testing254255--0.005--
2001-03-25T00:00:00ANONYMOUSv4_computers21256--0.021--
2002-02-03T00:00:00ANONYMOUSv4_computers21257--0.041--
2004-01-07T00:00:00ANONYMOUSv4_computers21258--0.082--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.884 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000422 / 1004.2201.439%
2550000422 / 2801.50722.095%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:12.884 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.7830.000%
25500003.0174.892%
302500000.28675.100%
3510000000.02297.835%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002783.589
250000250000001449.295


Lucas-Lehmer results:
No L-L results for M467431


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-25T19:15:31Oliver KruseDoppelherz
213072165532045555775329513
EC5B1AA8A831C4__no
2017-09-27T07:34:59Oliver KruseManual testing
213072165532045555775329513
EC5B1AA8A831C4__no
2017-11-07T06:19:12kkmrkkblmbrbkc4.xlarge
213072165532045555775329513
EC5B1AA8A831C4__no
2020-04-18T10:23:39Oliver KruseAddPrpType5
213072165532045555775329513
5491F8983B008C__no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 467431 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-07T07:41:13+00:00