is 2 2413429 - 1
has 726515 decimal digits
takes 0.163 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L6F4AC2145BC42169double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26712.311967.1642 %2000000600000000.50557.6196 %12.817469.6661 %
Target2630.661365.0794 %100007000000.00471.2763 %0.666065.5251 %
Difference+4+11.6506+2.0848 %+1990000+59300000+0.5008+6.3433%+12.1514+4.1411 %

Known prime factors (1 factor, 63.8 bits, 0.00264309% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2413429159368321820784580392063.7893301698989711
167 × 9733 × 2031301
2013-12-05973320313010.66130.01170.0202

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-10-08ANONYMOUSv4_computers2048204800--0.0010.655%
2010-11-09JossManual testing1500015000--0.0020.497%
2010-11-16JossManual testing2000020000--0.0020.617%
2010-12-20markrtiny9500019237506--0.0204.214%
2018-09-28alpertronManual testing20000006000000012
skipped known factor: 15936832182078458039
---10.530%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-03-15ANONYMOUSv4_computers212590.016
2022-03-09LordJuliusManual testing21260
2009-01-14Sturle Sundegerle.ifi2602610.064
2012-06-03Sebastian HornbostelManual testing2612620.127
2013-01-23dbaughManual testing2622630.407


ECM factoring results:
Total ECM effort:5.960 GHz-days
Estimated T-Level:21.133
DigitsB1CompleteFacMiss
20110002.4298.808%
25500000.22779.725%
302500000.01498.571%


ECM Summary

B1B2factorcurvesGHz-days
10.089
50000500000090.670
500007000000505.201


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15ANONYMOUSv4_computers6F4AC2145BC421690.163


PRP results:
dateuseridcompidcofactorsres64
2017-10-13Oliver KruseGTX-2
15936832182078458039
C2A2B5D17F41DBA1
2017-11-26kkmrkkblmbrbkc4.xlarge
15936832182078458039
C2A2B5D17F41DBA1


CERT results:
No CERT results for M2413429


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 95000, B2 = 1923750 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
263
262
261
260
259
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=21.13 ~= 54-bit
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Last modified: 2024-02-09T03:30:02+00:00