is 2 40867 - 1
has 12303 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
Actual267727.088376.1194%10000000020000000000.210710.9666%727.299078.7383%2.6189%
PrimeNet2400.000060.0000%500100000.00004.4373%0.000061.7749%1.7749%
GPU722440.000163.6364%500100000.00001.9246%0.000164.3362%0.6999%
Difference+23+727.0882+12.4830%+99999500+1999990000+0.2107+9.0420%+727.2989+14.4021%+14.4021%

Known prime factors (3 factors, 257.4 bits, 0.62991831% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
408675590111862527850411858.9566839395921560
23 × 3 × 5 × 56994966013
2014-04-238569949660131.51313.21446.0035
408675181123713772465808383612478.7786339006672587253540
22 × 33 × 5 × 701 × 16745936156251
2009-04-22701167459361562512,081,561944.421,763.9
40867107627001875426814631013312296921730337119.69513167959707762597527468778268153
13167959707762597527468778268153
2021-09-201131679597077625975274687782681534.628e+127.426e+201.387e+21

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
4086728963061133583812161010156031048089975780142137.733
4086760164697991213063984871748317890700624698299567676
4423
54178.651
4086755762881165900752028840430145850007426512160093916
9727360383
60198.473
4086731172074349423264351734344464123026946479700564683
5791910418008280991238430703
78257.429
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-13T09:08:49kkmrkkblmbrbkManual testing100000000200000000012---0.211--10.967%
2021-12-18T17:03:34Lisander ViaeneDesktop10000000001000000000---1.035--10.033%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-02T04:18:58ATHcolab-Pp11000000001000000000027--0.705


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-21T00:00:00ANONYMOUSv4_computers252253--0.015--
2000-03-22T00:00:00ANONYMOUSv4_computers253254--0.029--


ECM factoring results:

Old Calculation Method

Total ECM effort:23.895 GHz-days
Estimated T-Level:34.614
DigitsB1CurvesCompleteFacMiss
20110002297 / 10022.9700.000%
25500002297 / 2808.2040.027%
302500002028 / 6403.1694.195%
3510000001445 / 15660.92339.731%

New Calculation Method

Total ECM effort:23.895 GHz-days
Estimated T-Level:34.614
DigitsB1CompleteFacMiss
2011000304.1790.000%
255000057.3350.000%
302500008.4160.022%
3510000001.00736.528%
4030000000.10090.488%
45110000000.00899.167%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002690.200
250000250000005832.171
10000001000000001,33819.93
10000001000000001071.594


Lucas-Lehmer results:
No L-L results for M40867


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:52:06Oliver KruseOllaptop
559011186252785041
518112371377246580838361
EBD54A3AAC121D1Cno
2017-09-21T21:39:00Oliver KruseManual testing
559011186252785041
518112371377246580838361
EBD54A3AAC121D1Cno
2017-09-21T22:13:02Oliver KruseManual testing
559011186252785041
518112371377246580838361
EBD54A3AAC121D1Cno
2017-11-06T01:44:33kkmrkkblmbrbkc4.xlarge
559011186252785041
518112371377246580838361
EBD54A3AAC121D__no
2020-04-17T13:48:47Oliver KruseManual testing
559011186252785041
518112371377246580838361
45C9A6DE895DC6__no
2021-09-20T18:58:06H Michaelson
559011186252785041
518112371377246580838361
1076270018754268146310133122969217303
45C9A6DE895DC678no
2021-09-20T22:33:10DrDerpenbergMain
559011186252785041
518112371377246580838361
1076270018754268146310133122969217303
45C9A6DE895DC678no


P-1 factor-bounds graph:
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: 2021-12-18T17:03:34+00:00