is 2 391397 - 1
has 117823 decimal digits
takes 0.004 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1F3E9AB06007AFF6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26775.917671.6418%6553665536000.00592.3998%75.923572.3223%0.6805%
PrimeNet2400.000052.5000%40001200000.000117.2548%0.000160.6960%8.1960%
GPU722440.000056.8182%70002000000.000212.8099%0.000362.3497%5.5316%
Difference+23+75.9176+14.8236%+58536+6353600+0.0056-10.4101%+75.9232+9.9726%+9.9726%

Known prime factors (1 factor, 81.8 bits, 0.02089770% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
39139741892075726259686856036632581.7935351609200665780123
3 × 19 × 83 × 8603963 × 131471891
2009-08-3086039631314718912,438,3020.21500.2461

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-11-14T00:00:00ANONYMOUSv4_computers500001000000---0.001--1.446%
2002-06-15T00:00:00ANONYMOUSv4_computers327683276800---0.003--1.683%
2002-08-24T00:00:00ANONYMOUSv4_computers655366553600---0.006--2.400%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-12-01T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.006--
2022-03-07T06:43:13LordJuliusManual testing254255--0.006--
2001-03-05T00:00:00ANONYMOUSv4_computers21256--0.025--
2002-01-22T00:00:00ANONYMOUSv4_computers21257--0.049--
2004-01-18T00:00:00ANONYMOUSv4_computers21258--0.098--
2009-01-06T11:01:00Sturle Sundeghibu.ifi258259--0.098--
2009-01-16T06:08:00Sturle Sundefoster.ifi259260--0.196--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.522 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000424 / 1004.2401.410%
2550000424 / 2801.51421.937%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:10.522 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8600.000%
25500003.0254.858%
302500000.28775.066%
3510000000.02297.833%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002802.946
250000250000001447.576


Lucas-Lehmer results:
No L-L results for M391397


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-23T07:44:43Oliver KruseDoppelherz
4189207572625968685603663
88008CFEBE1ACD__no
2017-09-24T17:46:35Oliver KruseManual testing
4189207572625968685603663
88008CFEBE1ACD__no
2017-11-06T23:51:56kkmrkkblmbrbkc4.xlarge
4189207572625968685603663
88008CFEBE1ACD__no
2020-04-18T15:50:32Oliver KruseAddPrpType5
4189207572625968685603663
F4C9DBDAC4A425__no


P-1 factor-bounds graph:
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
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106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
267
260
259
258
257
256
255
254
253
250
260
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290
2100
Last modified: 2022-03-07T06:43:13+00:00