is 2 318811 - 1
has 95972 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L188DF26E1AA0D541double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26793.202371.6418 %1500000013050000000.879411.1920 %94.081774.8156 %
Target2440.000056.8182 %55007500000.000511.4922 %0.000561.7807 %
Difference+23+93.2023+14.8236 %+14994500+1304250000+0.8789-0.3002 %+94.0812+13.0349 %

Known prime factors (2 factors, 146.0 bits, 0.04578581% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31881127098814372374600811961.2334249981081640
23 × 5 × 7 × 137 × 110791999
2008-03-091371107919990.96350.06220.1162
318811322447885783146134967258012684.73750570382731955003900
22 × 33 × 52 × 18729771382205557
2019-11-11271872977138220555712,288,99810,521,96919,652,109

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-07-03ANONYMOUSv4_computers110001100000--0.00116.990%
2002-06-09ANONYMOUSv4_computers32768327680012--0.00221.210%
2002-08-17ANONYMOUSv4_computers65536655360012--0.00423.839%
2003-03-27ANONYMOUSv4_computers1310721310720030--0.00926.420%
2006-01-15Jossv4_computers318811318811--0.00315.333%
2021-05-26George WoltmanManual testing150000001305000000
skipped known factor: 2709881437237460081
--0.87942.027%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-26George WoltmanManual testing750000059250000027--0.440


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-04-12ANONYMOUSv4_computers212540.008
2022-03-07LordJuliusManual testing254255
2001-03-05ANONYMOUSv4_computers212560.030
2002-03-10ANONYMOUSv4_computers212570.060
2004-02-07ANONYMOUSv4_computers212580.120


ECM factoring results:
Total ECM effort:22.224 GHz-days
Estimated T-Level:27.063
DigitsB1CompleteFacMiss
201100030.0720.000%
25500004.1081.644%
302500000.41366.198%
3510000000.03396.753%
4030000000.00299.782%


ECM Summary

B1B2factorcurvesGHz-days
10.014
5000050000002792.126
250000250000001104.205
25000025000000341.300
2500003675371705014.58


Lucas-Lehmer results:
No L-L results for M318811


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
2709881437237460081
38AB61FCDB99D834
2017-09-22Oliver KruseManual testing
2709881437237460081
38AB61FCDB99D834
2017-10-13Oliver KruseGTX-0
2709881437237460081
38AB61FCDB99D834
2017-12-11ATHxps
2709881437237460081
38AB61FCDB99D834
2019-11-12mnd9printer
2709881437237460081
32244788578314613496725801
826511F0A093CD70
2019-11-12marssystemssystem03
2709881437237460081
32244788578314613496725801
826511F0A093CD70


CERT results:
No CERT results for M318811


P-1 factor-bounds graph:
B1 = 15000000, B2 = 1305000000 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 318811 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 11000, B2 = 1100000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 11000 (P-1 stage 1)
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TF factor-bounds graph:
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254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=27.06 ~= 73-bit
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Last modified: 2024-03-03T02:29:32+00:00