is 2 2643457 - 1
has 795760 decimal digits
takes 0.204 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L7C8C7A1CE35C845Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26945.163168.1159 %2000000500000000.51696.2911 %45.680070.1218 %
Target2630.603865.0794 %1300010000000.00751.5740 %0.611265.6290 %
Difference+6+44.5594+3.0366 %+1987000+49000000+0.5094+4.7171%+45.0688+4.4928 %

Known prime factors (1 factor, 87.7 bits, 0.00331607% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
26434572443102432543851212941706632787.65946210368327229291283
7 × 6601481189604184469
2022-05-297660148118960418446921,000,9094.028e+107.523e+10

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-10-31ANONYMOUSv4_computers2048204800--0.0010.672%
2009-06-22USAFSSP4_260030000420000--0.0062.403%
2011-01-18James Heinrichi7-92018000043200006--0.0455.502%
2016-12-26JossManual testing171988171988---2.150%
2016-12-27JossManual testing206385206385---2.331%
2017-05-08JossManual testing36000036000006--0.0665.696%
2019-11-27masserManual testing20000005000000012--0.57010.336%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-03-26ANONYMOUSv4_computers212590.015
2016-02-23Mark RoseManual testing2592600.029
2009-01-26Sturle Sundeghini.ifi2602610.058
2012-06-05Grant McCrackenthumper2612620.116
2013-01-14dbaughManual testing2622630.371
2015-02-23VictordeHollanderManual testing2632652.156
2016-01-21ramgeisManual testing2652662.827
2017-09-08Gordon SpenceManual testing2662675.654
2019-03-04TJAOIManual testing26726811.31
2021-07-01TJAOIManual testing26826922.62


ECM factoring results:
Total ECM effort:14.069 GHz-days
Estimated T-Level:22.491
DigitsB1CompleteFacMiss
20110005.3850.459%
25500000.49860.761%
302500000.03196.906%
3510000000.00199.853%


ECM Summary

B1B2factorcurvesGHz-days
50000500000013913.97
50000500000010.101


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13ANONYMOUSv4_computers7C8C7A1CE35C845A0.204
2018-07-13kkmrkkblmbrbkold7C8C7A1CE35C845A0.199


PRP results:
dateuseridcompidcofactorsres64
2022-06-04XZT7060Micro1
244310243254385121294170663
564E1CE0C53DFFBD


CERT results:
dateuseridcompid
2022-06-04Joshua HallfrischGaming1


P-1 factor-bounds graph:
B1 = 2000000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 360000, B2 = 3600000 (P-1 stage 2)
B1 = 180000, B2 = 4320000 (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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1010
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TF factor-bounds graph:
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267
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265
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261
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259
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=22.49 ~= 58-bit
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Last modified: 2024-03-13T02:15:48+00:00