is 2 286397 - 1
has 86215 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L291ACDFF5C49CD__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267103.750871.6418%262144262144000.01664.0383%103.767472.7870%1.1452%
PrimeNet2400.000052.5000%3000800000.000115.0584%0.000159.6528%7.1528%
GPU722440.000056.8182%50001300000.000110.8755%0.000161.5144%4.6963%
Difference+23+103.7508+14.8236%+257144+26084400+0.0165-6.8372%+103.7673+11.2726%+11.2726%

Known prime factors (1 factor, 60.6 bits, 0.02114890% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
28639717113349044358206391960.5702987696980827
32 × 13 × 25535871631
2007-08-2713255358716310.636913.78525.747

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.292%
2001-07-07T00:00:00ANONYMOUSv4_computers10000010000000---0.006--2.768%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.591%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.283%
2003-03-16T00:00:00ANONYMOUSv4_computers13107213107200---0.008--3.102%
2003-11-28T00:00:00ANONYMOUSv4_computers26214426214400---0.017--4.038%
2006-01-15T00:00:00Jocelyn Larouchev4_computers286397286397---0.003--1.148%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-05-05T00:00:00ANONYMOUSv4_computers21254--0.008--
2022-03-07T06:11:41LordJuliusManual testing254255--0.008--
2001-02-25T00:00:00ANONYMOUSv4_computers21256--0.034--
2002-03-10T00:00:00ANONYMOUSv4_computers21257--0.067--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.134--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.324 GHz-days
Estimated T-Level:28.172
DigitsB1CurvesCompleteFacMiss
2011000687 / 1006.8700.100%
2550000687 / 2802.4548.561%
30250000406 / 6400.63453.000%

New Calculation Method

Total ECM effort:18.324 GHz-days
Estimated T-Level:28.172
DigitsB1CompleteFacMiss
201100049.9710.000%
25500007.0390.088%
302500000.73348.066%
3510000000.06094.187%
4030000000.00499.601%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002812.056
250000250000001585.779
2500003525000070.291
2500003653562070.295
250000367500002349.90


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-03T00:00:00ANONYMOUSv4_computers291ACDFF5C49CD__0.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T12:26:45Oliver KruseOllaptop
1711334904435820639
F87A8B3B4B2F19__no
2017-09-22T20:36:24Oliver KruseManual testing
1711334904435820639
F87A8B3B4B2F19__no
2017-10-12T19:41:35Oliver KruseGTX-2F87A8B3B4B2F19__no
2017-11-06T20:05:22kkmrkkblmbrbkc4.xlarge
1711334904435820639
F87A8B3B4B2F19__no
2020-04-17T22:11:39Oliver KruseAddPrpType5
1711334904435820639
1330740BA9F6D9__no


P-1 factor-bounds graph:
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 286397 (P-1 stage 1)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
258
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-07-19T07:53:50+00:00