is 2 1785457 - 1
has 537477 decimal digits
takes 0.097 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LA556637F44B22B47double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26716.642268.6567 %500000150000000.10155.0535 %16.743770.2407 %
Target2610.172065.5738 %80006500000.00341.4926 %0.175466.0876 %
Difference+6+16.4701+3.0829 %+492000+14350000+0.0981+3.5610%+16.5682+4.1530 %

Known prime factors (1 factor, 64.9 bits, 0.00363771% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1785457356320022613176402872064.9509978398320799
3011453 × 3313483
2008-08-28301145333134831.99350.23820.4821

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-16alpertronManual testing5000001500000012---8.841%


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


ECM factoring results:
Total ECM effort:38.680 GHz-days
Estimated T-Level:25.714
DigitsB1CompleteFacMiss
201100014.9150.000%
25500001.68618.527%
302500000.14386.692%
3510000000.01099.021%


ECM Summary

B1B2factorcurvesGHz-days
10.103
50000500000026318.12
250000400000004820.46


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-13ANONYMOUSv4_computersA556637F44B22B470.097
1999-04-23ANONYMOUSv4_computersA556637F44B22B470.097


PRP results:
dateuseridcompidcofactorsres64
2017-10-03Oliver KruseGTX-3
35632002261317640287
C75FE20208E6F238
2017-11-05ATHec2-1xh
35632002261317640287
C75FE20208E6F238


CERT results:
No CERT results for M1785457


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
104
105
106
107
104
105
106
107
108
TF factor-bounds graph:
258
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.71 ~= 69-bit
250
260
270
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Last modified: 2024-03-03T02:29:32+00:00