is 2 8100457 - 1
has 2438481 decimal digits
takes 2.115 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD3935AF822AF0EB4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2687.358266.1765%2200000190837614040.153112.4030%47.511370.3716%4.1951%
PrimeNet2630.197063.4921%360009000000.03153.6129%0.228564.8111%1.3190%
GPU722673.668265.6716%5500012000000.04442.5719%3.712666.5545%0.8829%
Difference+1+3.6900+0.5048%+2145000+1907176140+40.1087+9.8311%+43.7987+3.8171%+3.8171%

Known prime factors (1 factor, 78.9 bits, 0.00097378% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
81004575563746239896948544155212478.88034342175014921680
24 × 3 × 5 × 89 × 313 × 15641 × 328411
2012-09-22156413284117,655.30.01240.0127

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers40000310000---0.021--1.453%
2022-05-08T10:26:22FlaukrotistColab_HLM222000001908376140-
skipped known factor: 556374623989694854415521
--40.15--12.403%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-08-24T00:00:00ANONYMOUSv4_computers21261--0.038--
1998-08-24T00:00:00ANONYMOUSv4_computers21262--0.076--
1998-09-06T00:00:00ANONYMOUSv4_computers21263--0.197--
2012-07-18T20:21:00AxelssonManual testing263264--0.242--
2022-04-07T21:46:46LordJuliusManual testing21264--0.439--
2022-04-10T17:02:44James HeinrichManual testing264265--0.461--
2022-04-07T21:46:46LordJuliusManual testing264265--0.461--
2022-04-10T17:02:44James HeinrichManual testing265266--0.923--
2022-04-07T21:46:46LordJuliusManual testing265266--0.923--
2022-04-10T17:02:44James HeinrichManual testing266267--1.845--
2022-04-07T21:46:46LordJuliusManual testing266267--1.845--
2022-01-16T08:16:45FlaukrotistManual testing267268--3.690--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.000 GHz-days
DigitsB1CurvesCompleteFacMiss

New Calculation Method

Total ECM effort:0.000 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-31T00:00:00t_ludersv4_computersD3935AF822AF0EB42.115
2002-09-07T00:00:00ANONYMOUSv4_computersD3935AF822AF0EB42.115
2003-10-08T00:00:00Team Prime Ribv4_computersD3935AF822AF0EB42.115


PRP results:
dateuseridcompidcofactorsres64PRP
2018-08-14T12:51:20Oliver KruseGTX-1
556374623989694854415521
BBDA1B27D4FFBF__no
2020-02-25T22:06:42krackerGRID-11
556374623989694854415521
BBDA1B27D4FFBF4Cno


P-1 factor-bounds graph:
B1 = 2200000, B2 = 1908376140 (P-1 stage 2)
B1 = 2200000 (P-1 stage 1)
B1 = 40000, B2 = 310000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
250
260
270
280
290
2100
Last modified: 2022-05-08T10:26:22+00:00