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
factored, 0 LL tests remaining
ResidueStatus
L-L372409D0A5D81004double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26758.277871.6418 %200000067331464207.797111.7992 %66.074974.9878 %
Target2440.000056.8182 %900015000000.001914.5552 %0.001963.1034 %
Difference+23+58.2778+14.8236 %+1991000+6731646420+7.7952-2.7561 %+66.0730+11.8844 %

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:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-06-23ANONYMOUSv4_computers32768327680012--0.00422.159%
2002-08-31ANONYMOUSv4_computers65536655360012--0.00924.805%
2003-04-27ANONYMOUSv4_computers1310721310720030--0.01827.398%
2016-03-16alpertronManual testing15000005000000012---32.796%
2022-12-15USAFSSUSAFSACS20000006733146420--7.96146.108%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2023-10-29gLaussManual testing500000018500000027--0.311


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-03-08ANONYMOUSv4_computers2532540.002
2022-03-07LordJuliusManual testing254255
2001-04-01ANONYMOUSv4_computers212560.019
2001-12-22ANONYMOUSv4_computers212570.038
2003-12-13ANONYMOUSv4_computers212580.075


ECM factoring results:
Total ECM effort:16.013 GHz-days
Estimated T-Level:26.433
DigitsB1CompleteFacMiss
201100023.8220.000%
25500003.0214.875%
302500000.28775.083%
3510000000.02297.834%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.028
5000050000002794.413
2500002500000014411.57


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


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-2
58486074638415289653119
7259129704DA85C7
2017-09-28Oliver KruseManual testing
58486074638415289653119
7259129704DA85C7
2017-11-07kkmrkkblmbrbkc4.xlarge
58486074638415289653119
7259129704DA85C7
2020-04-19Oliver KruseAddPrpType5
58486074638415289653119
E9116D3C46C1E556


CERT results:
No CERT results for M509867


P-1 factor-bounds graph:
B1 = 2000000, B2 = 6733146420 (P-1 stage 2)
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
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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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.43 ~= 71-bit
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Last modified: 2024-03-13T02:15:48+00:00