is 2 509867 - 1
has 153486 decimal digits
takes 0.007 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L372409D0A5D81004double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26758.277871.6418%1500000500000000.08766.1123%58.365473.3751%1.7333%
PrimeNet2400.000052.5000%50001700000.000319.1446%0.000361.5937%9.0937%
GPU722440.000056.8182%90003000000.000514.5552%0.000563.1034%6.2852%
Difference+23+58.2778+14.8236%+1491000+49700000+0.0871-8.4429%+58.3648+10.2717%+10.2717%

Known prime factors (1 factor, 75.6 bits, 0.01483338% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
509867584860746384152896531192375.63157354245948860477
17 × 3373779173462381
2009-09-2017337377917346238127,0173,886,8757,259,600

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.764%
2002-08-31T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.503%
2003-04-27T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.370%
2016-03-16T12:41:38alpertronManual testing15000005000000012---0.088--6.112%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-03-08T00:00:00ANONYMOUSv4_computers253254--0.002--
2022-03-07T07:50:56LordJuliusManual testing254255--0.005--
2001-04-01T00:00:00ANONYMOUSv4_computers21256--0.019--
2001-12-22T00:00:00ANONYMOUSv4_computers21257--0.038--
2003-12-13T00:00:00ANONYMOUSv4_computers21258--0.075--


ECM factoring results:

Old Calculation Method

Total ECM effort:16.056 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:16.056 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
5000050000002794.484
2500002500000014411.57


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-04-28T00:00:00ANONYMOUSv4_computers372409D0A5D810040.007


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T09:34:42Oliver KruseGTX-2
58486074638415289653119
7259129704DA85__no
2017-09-28T09:42:23Oliver KruseManual testing
58486074638415289653119
7259129704DA85__no
2017-11-07T06:15:55kkmrkkblmbrbkc4.xlarge
58486074638415289653119
7259129704DA85__no
2020-04-19T00:47:19Oliver KruseAddPrpType5
58486074638415289653119
E9116D3C46C1E5__no


P-1 factor-bounds graph:
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 1500000 (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: 2022-03-07T07:50:56+00:00