is 2 8189347 - 1
has 2465240 decimal digits
takes 2.138 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L61968F11CD4D060Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2687.278366.1765%2150002150000.08141.5245%7.359766.6921%0.5156%
PrimeNet2630.194963.4921%360009000000.03153.6191%0.226364.8133%1.3213%
GPU722673.628465.6716%5500013000000.04652.6259%3.674966.5731%0.9014%
Difference+1+3.6500+0.5048%+160000-1085000+0.0349-1.1014%+3.6849+0.1190%-0.3858%

Known prime factors (1 factor, 67.0 bits, 0.00081769% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
81893471439159152910729620872166.9648786775996369
32 × 7 × 17 × 263 × 347 × 89899
2012-10-01347898992.37580.00200.0035

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-08-17T00:00:00ANONYMOUSv4_computers40000320000---0.021--1.471%
2012-10-01T17:15:00James Heinrichi7-9202150002150002166.9640.0814.2770.1631.525%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-08-30T00:00:00subgeniusv4_computers21261--0.038--
1998-11-07T00:00:00ANONYMOUSv4_computers21262--0.075--
1998-11-07T00:00:00ANONYMOUSv4_computers21263--0.195--
2022-09-25T22:56:45JayderManual testing263264--0.240--
2022-09-25T06:23:19LordJuliusManual testing21264--0.435--
2022-09-25T22:56:45JayderManual testing264265--0.456--
2022-09-25T06:23:19LordJuliusManual testing264265--0.456--
2022-09-25T22:56:45JayderManual testing265266--0.912--
2022-09-25T06:23:19LordJuliusManual testing265266--0.912--
2022-09-25T22:56:45JayderManual testing26626766.964210.5724.3511.165
2022-09-25T06:23:19LordJuliusManual testing26626766.964210.5724.3511.165
2022-09-22T06:09:29FlaukrotistManual testing267268--3.650--


ECM factoring results:
No ECM results for M8189347


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-12-08T00:00:00ANONYMOUSv4_computers61968F11CD4D060D2.138
2002-11-24T00:00:00ANONYMOUSv4_computers61968F11CD4D060D2.138


PRP results:
dateuseridcompidcofactorsres64PRP
2018-09-08T06:14:18ATHec2-PRPCF
143915915291072962087
778E9B55C0B59A__no
2020-03-09T08:54:15NesowaLaptop
143915915291072962087
778E9B55C0B59AE7no


P-1 factor-bounds graph:
B1 = 215000 (P-1 stage 1)
B1 = 40000, B2 = 320000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
TF factor-bounds graph:
268
267
266
265
264
263
262
261
250
260
270
280
290
2100
Last modified: 2022-09-25T22:56:45+00:00