is 2 1658273 - 1
has 499190 decimal digits
takes 0.078 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LACB563D4494CF980double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26717.918668.6567 %500000150000000.08805.0087 %18.006670.2266 %
Target2610.185265.5738 %70003500000.00181.1523 %0.187065.9705 %
Difference+6+17.7334+3.0829 %+493000+14650000+0.0863+3.8564%+17.8196+4.2561 %

Known prime factors (1 factor, 64.0 bits, 0.00385966% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1658273184934276098760768892064.0045576110691628
22 × 3 × 15817 × 29378257
2008-05-2815817293782572.14640.11020.2040

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-17alpertronManual testing5000001500000012---8.771%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-11-14Stephen Woodv4_computers212570.012
2003-04-27ANONYMOUSv4_computers212580.023


ECM factoring results:
Total ECM effort:38.180 GHz-days
Estimated T-Level:25.717
DigitsB1CompleteFacMiss
201100014.6150.000%
25500001.67118.807%
302500000.14386.643%
3510000000.01099.006%


ECM Summary

B1B2factorcurvesGHz-days
10.052
50000500000025017.03
250000400000005021.10


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-11-28Stephen Woodv4_computersACB563D4494CF9800.078


PRP results:
dateuseridcompidcofactorsres64
2017-10-02Oliver KruseGTX-2
18493427609876076889
726BF1072CDFE114
2017-11-02kkmrkkblmbrbkold
18493427609876076889
726BF1072CDFE114


CERT results:
No CERT results for M1658273


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
258
257
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.72 ~= 69-bit
250
260
270
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Last modified: 2024-03-03T02:29:32+00:00