is 2 9024271 - 1
has 2716577 decimal digits
takes 2.494 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L5519AB5F831EDF50double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2673.292764.1791 %10500019687500.08283.3097 %3.375465.3647 %
Target2686.605064.7059 %6000065000000.16472.4009 %6.769665.5533 %
Difference-1-3.3123-0.5268 %+45000-4531250-0.0819+0.9088%-3.3942-0.1886 %

Known prime factors (1 factor, 72.4 bits, 0.00080217% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
902427161891850253690806574412272.390342918836622320
24 × 5 × 7 × 6781 × 90304537
2014-02-09678190304537105.971.97433.6827

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-02-16ANONYMOUSv4_computers45000573750--0.0301.824%
2012-05-25Squeeky_SquirrelT7500_220010500019687506--0.0832.952%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-12-06ANONYMOUSv4_computers212610.017
1998-12-21ANONYMOUSv4_computers212620.034
1998-12-27ANONYMOUSv4_computers212630.109
2022-03-14LordJuliusManual testing263264
2013-09-14NesowaManual testing2642650.414


ECM factoring results:
Total ECM effort:0.420 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.420


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-05-26ANONYMOUSv4_computers5519AB5F831EDF502.494


PRP results:
dateuseridcompidcofactorsres64
2019-05-25Daniel BambergerTycho
6189185025369080657441
94E8981B0486AD3E
2020-10-07ATHec2-PRPCFDC
6189185025369080657441
94E8981B0486AD3E


CERT results:
No CERT results for M9024271


P-1 factor-bounds graph:
B1 = 105000, B2 = 1968750 (P-1 stage 2)
B1 = 105000 (P-1 stage 1)
B1 = 45000, B2 = 573750 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
265
264
263
262
261
this exponent TF target: 68
TF double-checked to: 67
250
260
270
280
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Last modified: 2024-02-29T14:28:04+00:00