is 2 447217 - 1
has 134626 decimal digits
takes 0.005 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
Actualunknown30000001000000000.141543.3017%0.141543.3017%43.3017%
PrimeNet2400.000052.5000%45001500000.000218.3434%0.000261.2131%8.7131%
GPU722440.000056.8182%80002400000.000413.6404%0.000462.7083%5.8902%
Difference-440.0000-56.8182%+2992000+99760000+0.1411+29.6613%+0.1411-19.4066%-19.4066%

Known prime factors (2 factors, 120.8 bits, 0.02700093% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
447217869389849929.695972
22 × 35
-2432431.936e-104.150e-68.446e-6
44721725762331020223357843179636972891.0572880294244206208377944
23 × 112 × 131 × 6966257 × 3260548849
2020-07-08696625732605488491.292e+93.14625.6662

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
447217223975090755600010215549102652231175337120.753
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T18:48:16alpertronManual testing300000010000000012-
skipped known factor: 869389849
--0.141--34.792%


Trial Factoring results:
No TF results for M447217


ECM factoring results:

Old Calculation Method

Total ECM effort:14.112 GHz-days
Estimated T-Level:26.273
DigitsB1CurvesCompleteFacMiss
2011000444 / 1004.4401.154%
2550000444 / 2801.58620.422%
30250000163 / 6400.25577.500%

New Calculation Method

Total ECM effort:14.112 GHz-days
Estimated T-Level:26.273
DigitsB1CompleteFacMiss
201100022.6480.000%
25500002.7836.185%
302500000.26276.919%
3510000000.02098.025%
4030000000.00199.874%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002813.618
250000250000001449.270
25000025000000191.223


Lucas-Lehmer results:
No L-L results for M447217


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-24T17:26:01Oliver KruseDoppelherz
869389849
D2782330412B11__no
2017-09-24T17:48:16Oliver KruseManual testing
869389849
D2782330412B11__no
2017-11-07T04:32:13kkmrkkblmbrbkc4.xlarge
869389849
D2782330412B11__no
2020-04-18T19:04:22Oliver KruseAddPrpType5
869389849
59ECB52F3133C9__no
2020-07-08T21:05:39pew10980xe_1
869389849
2576233102022335784317963697
59ECB52F3133C9EBno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
220
230
240
250
260
270
280
290
2100
Last modified: 2020-07-27T10:56:50+00:00