is 2 1438729 - 1
has 433101 decimal digits
takes 0.055 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26720.652968.6567 %500000150000000.07144.9235 %20.724370.1999 %
Target2600.106865.0000 %60004500000.00171.3548 %0.108465.4742 %
Difference+7+20.5461+3.6567 %+494000+14550000+0.0697+3.5686%+20.6159+4.7257 %

Known prime factors (4 factors, 231.5 bits, 0.01608976% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
14387291266620870727531546.84844018744
23 × 7 × 11 × 19 × 3761
-1937611.216e-51.234e-52.119e-5
14387292892890728040571548.040100536332
22 × 13 × 719 × 2689
2008-08-2671926892.895e-54.575e-58.101e-5
143872947366317136871836331962.0391646116716104
23 × 72 × 2287 × 1836151
2015-02-26228718361510.77020.00570.0103
1438729278864529736067357319592374.5629691350133905251
7 × 283 × 557 × 1087 × 8080069
2015-02-26108780800694,323.30.02440.0455

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2015-02-26alpertronManual testing5000001500000012242136.6010.0849.435%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??
48.040
15
1.63548e-5


ECM factoring results:
Total ECM effort:29.776 GHz-days
Estimated T-Level:25.704
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.65119.189%
302500000.14186.866%
3510000000.01099.021%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025113.83
250000350000005015.94


Lucas-Lehmer results:
No L-L results for M1438729


PRP results:
dateuseridcompidcofactorsres64
2017-09-30Oliver KruseGTX-2
126662087072753
289289072804057
27886452973606735731959
4736631713687183633
F866016418872074
2017-10-05Oliver KruseManual testing
126662087072753
289289072804057
27886452973606735731959
4736631713687183633
F866016418872074
2017-10-27kkmrkkblmbrbkold
126662087072753
289289072804057
4736631713687183633
27886452973606735731959
F866016418872074


CERT results:
No CERT results for M1438729


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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103
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106
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.7 ~= 69-bit
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JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00