is 2 413863 - 1
has 124586 decimal digits
takes 0.004 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L396F5B064C69427Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26771.796571.6418%30000001000000000.11657.1398%71.913073.6665%2.0247%
PrimeNet2400.000052.5000%40001300000.000217.5969%0.000260.8585%8.3585%
GPU722440.000056.8182%70002200000.000313.1226%0.000362.4848%5.6666%
Difference+23+71.7965+14.8236%+2993000+99780000+0.1162-5.9828%+71.9127+11.1817%+11.1817%

Known prime factors (1 factor, 61.6 bits, 0.01489141% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
41386335685415722654732731961.6304311259489572
22 × 3 × 7 × 19 × 23 × 117447409
2008-02-20231174474091.25500.08990.1680

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-06-15T00:00:00ANONYMOUSv4_computers327683276800---0.003--1.700%
2002-08-24T00:00:00ANONYMOUSv4_computers655366553600---0.006--2.421%
2003-03-27T00:00:00ANONYMOUSv4_computers13107213107200---0.012--3.271%
2016-03-16T21:40:12alpertronManual testing300000010000000012---0.116--7.140%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-03-17T00:00:00ANONYMOUSv4_computers21256--0.023--
2002-01-15T00:00:00ANONYMOUSv4_computers21257--0.046--
2003-12-31T00:00:00ANONYMOUSv4_computers21258--0.093--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.542 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000423 / 1004.2301.425%
2550000423 / 2801.51122.016%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:10.542 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8220.000%
25500003.0214.875%
302500000.28775.083%
3510000000.02297.834%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002792.944
250000250000001447.598


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-24T00:00:00ANONYMOUSv4_computers396F5B064C69427B0.004


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-23T11:15:49Oliver KruseOllaptop
3568541572265473273
C8BC32B30EAF18__no
2017-11-02T12:21:11kkmrkkblmbrbkc4.xlarge
3568541572265473273
C8BC32B30EAF18__no
2020-04-18T16:55:34Oliver KruseAddPrpType5
3568541572265473273
C32D78FD88C43A__no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-04-27T10:13:06+00:00