is 2 29009 - 1
has 8733 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actualunknown500000000100000000000.812850.1860%0.812850.1860%50.1860%
PrimeNet2400.000062.5000%500100000.00004.0685%0.000064.0257%1.5257%
GPU722440.000165.9091%500100000.00001.7413%0.000166.5027%0.5936%
Difference-44-0.0001-65.9091%+499999500+9999990000+0.8128+48.4447%+0.8127-16.3167%-16.3167%

Known prime factors (2 factors, 115.5 bits, 0.39817764% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29009232073617.8244
22
-446.024e-133.195e-96.502e-9
290092544210029331089696192024626333097.6834385208089439638898603924
22 × 3 × 365434007453303241550327
2017-11-2743654340074533032415503271.989e+121.590e+132.970e+13

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
290095904424541369539790643717311062820935115.507
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2017-01-04T01:58:22kkmrkkblmbrbkManual testing5000000001000000000012-
skipped known factor: 232073
--0.813--42.864%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-08T16:37:14ATHcolab-Pp11000000001000000000027--0.544


Trial Factoring results:
No TF results for M29009


ECM factoring results:

Old Calculation Method

Total ECM effort:19.207 GHz-days
Estimated T-Level:34.782
DigitsB1CurvesCompleteFacMiss
20110002255 / 10022.5500.000%
25500002255 / 2808.0540.031%
302500002126 / 6403.3223.599%
3510000001511 / 15800.95638.418%

New Calculation Method

Total ECM effort:19.207 GHz-days
Estimated T-Level:34.782
DigitsB1CompleteFacMiss
2011000271.2680.000%
255000050.9570.000%
302500007.5380.053%
3510000000.89041.060%
4030000000.08691.725%
45110000000.00799.281%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001290.074
250000250000006151.767
10000001000000001,16613.40
10000001000000003453.965


Lucas-Lehmer results:
No L-L results for M29009


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:39:03Oliver KruseOliver-PC
232073
0836DFDBD7D032__no
2017-09-21T20:27:19Oliver KruseManual testing
232073
0836DFDBD7D032__no
2017-10-12T16:30:09kkmrkkblmbrbkManual testing
232073
0836DFDBD7D032__no
2017-11-29T13:58:35Oliver KruseGTX-1
232073
254421002933108969619202462633
C00DC32CDA4856__no
2017-11-29T15:16:18storm55107700_Kaby_Lake
232073
254421002933108969619202462633
C00DC32CDA4856__no


P-1 factor-bounds graph:
B1 = 500000000, B2 = 10000000000 (P-1 stage 2)
B1 = 500000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-05-08T16:37:14+00:00