is 2 2209013 - 1
has 664980 decimal digits
takes 0.145 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L9560BF809D9E53AFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.451267.1642 %33800004596800002.692410.5081 %16.143670.6146 %
Target2620.278164.5161 %110008500000.00541.6013 %0.283565.0843 %
Difference+5+13.1731+2.6481 %+3369000+458830000+2.6870+8.9068%+15.8601+5.5303 %

Known prime factors (2 factors, 151.3 bits, 0.00684794% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22090131154083943830313014072166.64526122162790131
26122162790131
2020-07-071261221627901316.6855135,685253,422
2209013298648482010567131154034172684.6276759771943636527516
22 × 34 × 17 × 59 × 61 × 70271 × 4852663
2015-12-087027148526631,773,5830.03150.0471

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-16ANONYMOUSv4_computers204820480012--0.0010.780%
2010-11-05JossManual testing1500015000--0.0010.580%
2010-11-10JossManual testing3000030000--0.0030.939%
2011-01-08markrtiny9000016650006--0.0174.474%
2014-06-24JossManual testing119056119056--0.0112.003%
2014-10-17JossManual testing148112148112--0.0142.215%
2015-11-11Alexander DubrovinManual testing100000025000006--0.1035.976%
2015-12-08Alexander DubrovinManual testing2000000150000001222684.6270.2589.013%
2016-04-17alpertronManual testing5000001500000012
skipped known factor: 29864848201056713115403417
---8.275%
2021-06-29Dylan Delgadolaptop-ryzen737002600000340600000
skipped known factor: 29864848201056713115403417
--2.00414.267%
2021-07-03Dylan Delgadolaptop-ryzen737003380000459680000
skipped known factor: 29864848201056713115403417
--2.69214.963%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-07ANONYMOUSv4_computers212580.017
2022-03-09LordJuliusManual testing21260
2009-01-03Sturle Sundebuxtehude.ifi2602610.070
2009-01-08Sturle Sundedittersdorf.ifi2612620.139
2013-12-04LaurVManual testing2622630.444
2015-03-06VictordeHollanderManual testing2632640.889
2015-03-06VictordeHollanderManual testing2642651.691
2015-10-22ramgeisManual testing2652663.383
2020-07-07TJAOIManual testing266267*
66.645
21
4.366


ECM factoring results:
Total ECM effort:8.257 GHz-days
Estimated T-Level:21.659
DigitsB1CompleteFacMiss
20110003.5542.862%
25500000.33271.756%
302500000.02197.915%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.146
50000609847670.654
50000644964170.671
500007000000585.786


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15ANONYMOUSv4_computers9560BF809D9E53AF0.145


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
29864848201056713115403417
9BD9957D1D39FA3F
2017-10-25Oliver KruseGTX-3
29864848201056713115403417
9BD9957D1D39FA3F
2020-07-07M Millercruncher
29864848201056713115403417
115408394383031301407
89A44C1D1E9CD953
2020-07-10nordisweet16
29864848201056713115403417
115408394383031301407
89A44C1D1E9CD953


CERT results:
No CERT results for M2209013


P-1 factor-bounds graph:
B1 = 3380000, B2 = 459680000 (P-1 stage 2)
B1 = 2600000, B2 = 340600000 (P-1 stage 2)
B1 = 3380000 (P-1 stage 1)
B1 = 2000000, B2 = 15000000 (P-1 stage 2)
B1 = 2600000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000, B2 = 2500000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 90000, B2 = 1665000 (P-1 stage 2)
B1 = 148112 (P-1 stage 1)
B1 = 119056 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.66 ~= 55-bit
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Last modified: 2024-02-29T14:28:04+00:00