is 2 2647429 - 1
has 796956 decimal digits
takes 0.204 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3FD6CA021C2EDF4Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2752,890.316870.6667 %2000000051254437080314.854611.6734 %3,205.171474.0909 %
Target2630.602965.0794 %1300010000000.00751.5745 %0.610365.6292 %
Difference+12+2,889.7139+5.5873 %+19987000+51253437080+314.8471+10.0990%+3,204.5611+8.4617 %

Known prime factors:
No known factors for M2647429

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-10-31ANONYMOUSv4_computers2048204800--0.0010.672%
2009-06-22USAFSSP4_260030000420000--0.0062.404%
2011-01-20James Heinrichi7-92018000042750006--0.0455.492%
2016-12-27JossManual testing171988171988---2.151%
2016-12-29JossManual testing206385206385---2.331%
2017-05-08JossManual testing36000036000006--0.0665.697%
2019-11-28masserManual testing20000005000000012--0.57010.337%
2022-12-15JossManual testing1000000449489040--3.13913.010%
2023-03-02kurlybeans2000000051254437080--347.023.341%


Trial Factoring results:
57585960616263646566676869707172737475
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-03-26ANONYMOUSv4_computers212590.015
2016-02-23Mark RoseManual testing2592600.029
2009-01-30Sturle Sundegolan.ifi2602610.058
2012-06-11markroldgamer2612620.116
2013-01-14dbaughManual testing2622630.371
2015-02-23VictordeHollanderManual testing2632652.153
2016-01-21ramgeisManual testing2652662.823
2017-09-08Gordon SpenceManual testing2662675.645
2019-02-18TJAOIManual testing26726811.29
2021-06-21TJAOIManual testing26826922.58
2022-12-11wazumaManual testing259273677.4
2022-12-12wazumaManual testing273274722.6
2022-12-16wazumaManual testing2742751,445


ECM factoring results:
Total ECM effort:21.206 GHz-days
Estimated T-Level:23.737
DigitsB1CompleteFacMiss
20110008.0770.031%
25500000.74747.363%
302500000.04795.396%
3510000000.00299.780%


ECM Summary

B1B2factorcurvesGHz-days
50000500000021021.21


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-02ANONYMOUSv4_computers3FD6CA021C2EDF4C0.204
1999-05-09ANONYMOUSv4_computers3FD6CA021C2EDF4C0.204
2018-07-16kkmrkkblmbrbkold3FD6CA021C2EDF4C0.199


PRP results:
No PRP results for M2647429


CERT results:
No CERT results for M2647429


P-1 factor-bounds graph:
B1 = 20000000, B2 = 51254437080 (P-1 stage 2)
B1 = 1000000, B2 = 449489040 (P-1 stage 2)
B1 = 20000000 (P-1 stage 1)
B1 = 2000000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 360000, B2 = 3600000 (P-1 stage 2)
B1 = 180000, B2 = 4275000 (P-1 stage 2)
B1 = 360000 (P-1 stage 1)
B1 = 206385 (P-1 stage 1)
B1 = 180000 (P-1 stage 1)
B1 = 171988 (P-1 stage 1)
B1 = 30000, B2 = 420000 (P-1 stage 2)
B1 = 30000 (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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267
266
265
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this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=23.74 ~= 62-bit
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Last modified: 2024-03-13T02:15:48+00:00