is 2 1773281 - 1
has 533811 decimal digits
takes 0.096 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L5DF1C5046274F587double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26716.756568.6567 %500000150000000.10155.0494 %16.857970.2394 %
Target2610.173265.5738 %80006000000.00321.4549 %0.176466.0746 %
Difference+6+16.5832+3.0829 %+492000+14400000+0.0983+3.5945%+16.6815+4.1647 %

Known prime factors (1 factor, 75.9 bits, 0.00428088% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1773281710914342187903147246172375.91220045168875883268
22 × 32 × 13 × 42831557427101
2008-08-1313428315574271014,315.1183,565342,849

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-16alpertronManual testing5000001500000012---8.835%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-01-25ANONYMOUSv4_computers212580.022


ECM factoring results:
Total ECM effort:38.591 GHz-days
Estimated T-Level:25.715
DigitsB1CompleteFacMiss
201100014.7460.000%
25500001.67718.700%
302500000.14386.677%
3510000000.01099.014%


ECM Summary

B1B2factorcurvesGHz-days
10.103
50000500000025617.62
250000400000004920.87


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-02ANONYMOUSv4_computers5DF1C5046274F5870.096


PRP results:
dateuseridcompidcofactorsres64
2017-10-03Oliver KruseGTX-2
71091434218790314724617
29BE17FF656ED67F
2017-11-04kkmrkkblmbrbkold
71091434218790314724617
29BE17FF656ED67F


CERT results:
No CERT results for M1773281


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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109
1010
1011
1012
1013
1014
TF factor-bounds graph:
258
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.71 ~= 69-bit
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Last modified: 2024-03-03T02:29:32+00:00