is 2 8110381 - 1
has 2441468 decimal digits
takes 2.118 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LDC113661B1633758double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2687.349266.1765%2200000190837614040.153112.4043%47.502370.3720%4.1956%
PrimeNet2630.196863.4921%360009000000.03153.6136%0.228264.8113%1.3193%
GPU722673.663765.6716%5500012000000.04442.5724%3.708166.5547%0.8831%
Difference+1+3.6855+0.5048%+2145000+1907176140+40.1087+9.8319%+43.7942+3.8173%+3.8173%

Known prime factors (1 factor, 76.2 bits, 0.00093992% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8110381886928186492902284335212376.2315467857715271960
23 × 5 × 199 × 128477 × 5346613
2012-09-2212847753466133,022.40.15630.2060

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-07-27T00:00:00ANONYMOUSv4_computers40000450000---0.024--1.627%
2022-08-01T12:49:28FlaukrotistColab_AK222000001908376140-
skipped known factor: 88692818649290228433521
--40.15--12.404%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-11-07T00:00:00ANONYMOUSv4_computers21261--0.038--
1998-11-07T00:00:00ANONYMOUSv4_computers21262--0.076--
1999-01-17T00:00:00ANONYMOUSv4_computers21263--0.197--
2022-04-08T19:05:35LordJuliusManual testing21264--0.439--
2022-04-08T19:05:35LordJuliusManual testing264265--0.461--
2022-04-08T19:05:35LordJuliusManual testing265266--0.921--
2022-04-08T19:05:35LordJuliusManual testing266267--1.843--
2022-02-13T10:49:51FlaukrotistManual testing267268--3.686--


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)
2000-01-25T00:00:00Stefan Rinkv4_computersDC113661B16337582.118
2002-08-03T00:00:00ANONYMOUSv4_computersDC113661B16337582.118


PRP results:
dateuseridcompidcofactorsres64PRP
2018-08-16T11:40:33Oliver KruseGTX-4
88692818649290228433521
45CB8D52F26845__no
2020-02-17T13:04:21GANKL-SCH05
88692818649290228433521
45CB8D52F2684588no


P-1 factor-bounds graph:
B1 = 2200000, B2 = 1908376140 (P-1 stage 2)
B1 = 2200000 (P-1 stage 1)
B1 = 40000, B2 = 450000 (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: 2022-08-01T12:49:28+00:00