is 2 2006429 - 1
has 603996 decimal digits
takes 0.132 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L5031CE3A9E248EADdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26714.809468.6567 %500000150000000.12305.1250 %14.932370.2631 %
Target2620.306266.1290 %80005500000.00361.2375 %0.309866.5482 %
Difference+5+14.5032+2.5277 %+492000+14450000+0.1194+3.8875%+14.6226+3.7149 %

Known prime factors (1 factor, 78.5 bits, 0.00391327% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20064294325053840357550738365212478.517107779887560375940
22 × 3 × 5 × 7 × 13 × 31 × 353 × 373 × 4836151
2013-10-07373483615130,5100.02520.0469

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-04-28Jossv4_computers20002000--0.0000.076%
2002-05-05Jossv4_computers30003000--0.0000.125%
2003-01-16Mr. P-1v4_computers3000054750012--0.0062.802%
2003-11-16ANONYMOUSv4_computers2048204800--0.0010.761%
2010-11-25JossManual testing200642200642--0.0192.493%
2016-03-17alpertronManual testing5000001500000012
skipped known factor: 432505384035755073836521
---8.188%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-07-26ANONYMOUSv4_computers212580.019
2022-03-09LordJuliusManual testing21260
2009-01-03Sturle Sundebakeng.ifi2602610.077
2011-12-23Sebastian HornbostelManual testing2612620.153
2013-02-05dbaughManual testing2622630.489


ECM factoring results:
Total ECM effort:52.811 GHz-days
Estimated T-Level:25.867
DigitsB1CompleteFacMiss
201100011.4050.001%
25500001.64219.365%
302500000.17384.072%
3510000000.01498.593%


ECM Summary

B1B2factorcurvesGHz-days
10.085
500005000000271.996
50000670214870.585
50000675000070.587
50000690000070.594
50000691307770.594
250000400000009248.37


Lucas-Lehmer results:
No L-L results for M2006429


PRP results:
dateuseridcompidcofactorsres64
2017-10-05Oliver KruseGTX-2
432505384035755073836521
E4FB7892F5AE32F3
2017-11-13kkmrkkblmbrbkc4.xlarge
432505384035755073836521
E4FB7892F5AE32F3


CERT results:
No CERT results for M2006429


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 200642 (P-1 stage 1)
B1 = 30000, B2 = 547500 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 3000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
TF factor-bounds graph:
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=25.87 ~= 69-bit
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260
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280
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Last modified: 2024-02-29T14:28:04+00:00