is 2 2458409 - 1
has 740055 decimal digits
takes 0.171 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFEA60291D6B191E0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27097.197368.5714 %890000045963188040252.702914.8021 %349.900273.2235 %
Target2630.649265.0794 %100008000000.00531.3343 %0.654565.5453 %
Difference+7+96.5481+3.4921 %+8890000+45962388040+252.6976+13.4678%+349.2456+7.6782 %

Known prime factors:
No known factors for M2458409

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-10-14ANONYMOUSv4_computers2048204800--0.0010.659%
2003-10-31Team Prime Ribv4_computers15000232500--0.0031.691%
2010-12-22JossManual testing2000020000--0.0020.620%
2011-01-20Oscar Östlin9500019475006--0.0204.237%
2014-05-26mikrMSI23825008577010012--0.69711.212%
2021-06-19Dylan Delgadolaptop-ryzen737002860000294580000--1.83713.273%
2023-03-09JossManual testing1000000548467920--3.45213.205%
2023-03-17JossManual testing10000001580899320--9.7514.683%
2023-07-19JossJoss10000003645762120--22.3515.835%
2023-09-03Sid & AndyMagic_8_Ball890000045963188040--281.422.224%


Trial Factoring results:
5758596061626364656667686970
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-08-07ANONYMOUSv4_computers212590.016
2016-02-23Mark RoseManual testing2592600.031
2009-01-11Sturle Sundegibus.ifi2602610.062
2012-06-07Sebastian HornbostelManual testing2612620.125
2013-12-04Jerry HallettManual testing2622630.399
2015-03-03VictordeHollanderManual testing2632652.318
2015-10-26ramgeisManual testing2652663.040
2017-07-15Gordon SpenceManual testing2662676.079
2019-07-01TJAOIManual testing26726812.16
2021-06-03TJAOIManual testing26826924.32
2024-03-08TJAOIManual testing26927048.63


ECM factoring results:
Total ECM effort:21.041 GHz-days
Estimated T-Level:24.099
DigitsB1CompleteFacMiss
20110008.8310.015%
25500000.82044.048%
302500000.05294.946%
3510000000.00299.757%


ECM Summary

B1B2factorcurvesGHz-days
50000500000014613.03
50000520000070.636
50000620000070.688
50000679333870.720
500007000000575.968


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-11-14MadPooManual testingFEA60291D6B191E00.171


PRP results:
No PRP results for M2458409


CERT results:
No CERT results for M2458409


P-1 factor-bounds graph:
B1 = 8900000, B2 = 45963188040 (P-1 stage 2)
B1 = 1000000, B2 = 3645762120 (P-1 stage 2)
B1 = 1000000, B2 = 1580899320 (P-1 stage 2)
B1 = 1000000, B2 = 548467920 (P-1 stage 2)
B1 = 2860000, B2 = 294580000 (P-1 stage 2)
B1 = 8900000 (P-1 stage 1)
B1 = 2382500, B2 = 85770100 (P-1 stage 2)
B1 = 2860000 (P-1 stage 1)
B1 = 2382500 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 95000, B2 = 1947500 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 15000, B2 = 232500 (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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1010
1011
TF factor-bounds graph:
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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=24.1 ~= 63-bit
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Last modified: 2024-03-13T02:15:48+00:00