is 2 2362909 - 1
has 711307 decimal digits
takes 0.160 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L025F8CFCC7DE62C0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual270101.125668.5714 %1440000036949548090198.529315.0003 %299.655073.2858 %
Target2630.675465.0794 %100007000000.00471.2707 %0.680165.5231 %
Difference+7+100.4502+3.4921 %+14390000+36948848090+198.5247+13.7296%+298.9749+7.7627 %

Known prime factors:
No known factors for M2362909

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-21ANONYMOUSv4_computers2048204800--0.0010.652%
2010-11-03JossManual testing2000020000--0.0020.614%
2010-12-23Oscar Östlin7501175011--0.0081.403%
2011-01-22Oscar Östlin9000018225006--0.0194.118%
2014-08-07JossManual testing117163117163--0.0121.763%
2014-10-22JossManual testing144326144326--0.0151.948%
2015-08-30mikrMSI300000010000000012--0.81211.554%
2023-01-24JossManual testing1000000571741170--3.50313.218%
2023-03-20JossManual testing10000001647836190--9.9014.692%
2023-06-15Sid & AndyPterodactyl1440000036949548090--221.222.342%


Trial Factoring results:
5758596061626364656667686970
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-03-01nysvv4_computers212590.016
2016-02-23Mark RoseManual testing2592600.033
2009-01-14Sturle Sundeginjtje.ifi2602610.065
2012-05-30Sebastian HornbostelManual testing2612620.130
2013-12-04Jerry HallettManual testing2622630.415
2015-03-09VictordeHollanderManual testing2632652.412
2015-10-29ramgeisManual testing2652663.163
2017-06-13Gordon SpenceManual testing2662676.325
2019-04-15TJAOIManual testing26726812.65
2021-07-12TJAOIManual testing26826925.30
2024-03-22TJAOIManual testing26927050.60


ECM factoring results:
Total ECM effort:22.469 GHz-days
Estimated T-Level:24.432
DigitsB1CompleteFacMiss
20110009.5510.007%
25500000.88641.218%
302500000.05694.550%
3510000000.00399.738%


ECM Summary

B1B2factorcurvesGHz-days
50000500000017215.20
50000520000070.632
500007000000646.633


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15nysvv4_computers025F8CFCC7DE62C00.160
1999-05-02nysvv4_computers025F8CFCC7DE62C00.160
1999-06-06nysvv4_computers025F8CFCC7DE62C00.160
2018-05-11kkmrkkblmbrbkold025F8CFCC7DE62C00.160


PRP results:
No PRP results for M2362909


CERT results:
No CERT results for M2362909


P-1 factor-bounds graph:
B1 = 14400000, B2 = 36949548090 (P-1 stage 2)
B1 = 1000000, B2 = 1647836190 (P-1 stage 2)
B1 = 1000000, B2 = 571741170 (P-1 stage 2)
B1 = 14400000 (P-1 stage 1)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 90000, B2 = 1822500 (P-1 stage 2)
B1 = 144326 (P-1 stage 1)
B1 = 117163 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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105
106
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108
102
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1010
1011
TF factor-bounds graph:
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269
268
267
266
265
263
262
261
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259
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=24.43 ~= 65-bit
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Last modified: 2024-03-22T08:32:25+00:00