is 2 2497109 - 1
has 751705 decimal digits
takes 0.173 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4F4678DAB575419Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27095.690968.5714 %870000033668374740185.314114.4145 %281.005073.1017 %
Target2630.639165.0794 %110008000000.00541.3818 %0.644665.5619 %
Difference+7+95.0518+3.4921 %+8689000+33667574740+185.3087+13.0328%+280.3604+7.5398 %

Known prime factors:
No known factors for M2497109

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-10-23ANONYMOUSv4_computers2048204800--0.0010.661%
2003-10-31Team Prime Ribv4_computers15000228750--0.0031.689%
2010-12-22JossManual testing2000020000--0.0020.622%
2011-01-25Oscar Östlin9500019712506--0.0204.257%
2014-09-10JossManual testing120703120703--0.0121.806%
2014-12-13mikrMSI23825008577010012--0.69711.228%
2023-01-31JossManual testing1000000600466230--3.77013.351%
2023-06-04JossManual testing10000003093240150--20.9115.629%
2023-09-12Sid & AndyMagic_8_Ball870000033668374740--206.421.742%


Trial Factoring results:
5758596061626364656667686970
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-05-02ANONYMOUSv4_computers212590.015
2016-02-23Mark RoseManual testing2592600.031
2009-01-11Sturle Sundeeberlin.ifi2602610.062
2012-06-11Sebastian HornbostelManual testing2612620.123
2013-01-23dbaughManual testing2622630.393
2015-03-03VictordeHollanderManual testing2632652.283
2015-10-31ramgeisManual testing2652662.993
2017-07-27Gordon SpenceManual testing2662675.985
2019-03-18TJAOIManual testing26726811.97
2021-05-27TJAOIManual testing26826923.94
2024-03-08TJAOIManual testing26927047.88


ECM factoring results:
Total ECM effort:17.326 GHz-days
Estimated T-Level:23.342
DigitsB1CompleteFacMiss
20110007.2280.073%
25500000.66851.255%
302500000.04295.865%
3510000000.00299.803%


ECM Summary

B1B2factorcurvesGHz-days
50000500000015013.63
500006579093171.771
50000689256070.746
500006945117111.177


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16ANONYMOUSv4_computers4F4678DAB575419D0.173
2018-06-01kkmrkkblmbrbkold4F4678DAB575419D0.173


PRP results:
No PRP results for M2497109


CERT results:
No CERT results for M2497109


P-1 factor-bounds graph:
B1 = 8700000, B2 = 33668374740 (P-1 stage 2)
B1 = 1000000, B2 = 3093240150 (P-1 stage 2)
B1 = 1000000, B2 = 600466230 (P-1 stage 2)
B1 = 8700000 (P-1 stage 1)
B1 = 2382500, B2 = 85770100 (P-1 stage 2)
B1 = 2382500 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 95000, B2 = 1971250 (P-1 stage 2)
B1 = 120703 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
B1 = 15000, B2 = 228750 (P-1 stage 2)
B1 = 20000 (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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109
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1011
TF factor-bounds graph:
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267
266
265
263
262
261
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259
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=23.34 ~= 61-bit
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Last modified: 2024-03-13T02:15:48+00:00