is 2 317419 - 1
has 95553 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-L7A93774A923F6B08double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26793.611071.6418 %100000002000000000.20988.4364 %93.820974.0342 %
Target2440.000056.8182 %55007500000.000511.4850 %0.000561.7776 %
Difference+23+93.6110+14.8236 %+9994500+199250000+0.2094-3.0485 %+93.8204+12.2566 %

Known prime factors (1 factor, 85.5 bits, 0.02694551% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
317419558664068014765285084855512685.53088001044048208406725
52 × 389 × 683 × 13248829494587
2015-12-216831324882949458742,345,1967,442.913,901

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-07-03ANONYMOUSv4_computers110001100000--0.00116.981%
2001-10-20ANONYMOUSv4_computers500001000000--0.00118.607%
2002-06-09ANONYMOUSv4_computers32768327680012--0.00221.201%
2002-08-17ANONYMOUSv4_computers65536655360012--0.00423.830%
2003-03-27ANONYMOUSv4_computers1310721310720030--0.00926.411%
2006-01-15Jossv4_computers317419317419--0.00315.313%
2008-11-25GrunwalderGIMPGWPrime02200000020000000012--0.12035.993%
2012-01-23alpertronManual testing1000000020000000012--0.21036.279%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-24George 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_computers212580.121
2008-12-30Sturle Sundeiago.ifi2582590.121
2009-01-25Sturle Sundegerle.ifi2592600.242
2012-04-27David CampeauManual testing2602610.484
2015-07-20NRManual testing2612620.968


ECM factoring results:
Total ECM effort:9.201 GHz-days
Estimated T-Level:26.825
DigitsB1CompleteFacMiss
201100028.4830.000%
25500003.7362.385%
302500000.36569.419%
3510000000.02997.189%
4030000000.00299.815%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002821.905
250000250000001927.221
2500002500000020.075


Lucas-Lehmer results:
No L-L results for M317419


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
55866406801476528508485551
0EE64B86D06F7578
2017-09-22Oliver KruseManual testing
55866406801476528508485551
0EE64B86D06F7578
2017-10-13Oliver KruseGTX-1
55866406801476528508485551
0EE64B86D06F7578
2017-12-11ATHxps
55866406801476528508485551
0EE64B86D06F7578
2020-04-18Oliver KruseAddPrpType5
55866406801476528508485551
F95B1584E35960DA


CERT results:
No CERT results for M317419


P-1 factor-bounds graph:
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 2000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 317419 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 11000, B2 = 1100000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (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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261
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.83 ~= 73-bit
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Last modified: 2024-03-13T02:15:48+00:00