is 2 8109973 - 1
has 2441346 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-L7627FC998D093FA4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2687.349666.1765%2200000190837614040.153112.4042%47.502770.3720%4.1955%
PrimeNet2630.196863.4921%360009000000.03153.6136%0.228264.8113%1.3192%
GPU722673.663965.6716%5500012000000.04442.5724%3.708366.5547%0.8831%
Difference+1+3.6857+0.5048%+2145000+1907176140+40.1087+9.8318%+43.7944+3.8173%+3.8173%

Known prime factors (2 factors, 155.1 bits, 0.00191221% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8109973139255359237458849960172373.560858543914002296
23 × 3 × 31 × 2311 × 12919 × 38651
2012-09-221291938651427.630.00540.0100
810997334653135214264969971524712581.519213645194714365695
32 × 5 × 47 × 3989 × 69623 × 363719
2022-08-016962336371966,0720.03240.0536

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
81099734825634792966703950002522257559506629217670800747155.079
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-07-27T00:00:00ANONYMOUSv4_computers35000201250---0.017--1.223%
2022-08-01T22:04:12FlaukrotistColab_HLM2220000019083761402581.5190.8334.2351.66612.404%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-08-24T00:00:00ANONYMOUSv4_computers21261--0.038--
1998-08-30T00:00:00ANONYMOUSv4_computers21262--0.076--
1998-12-06T00:00:00ANONYMOUSv4_computers21263--0.197--
1998-12-21T00:00:00ANONYMOUSv4_computers21263--0.197--
1999-01-10T00:00:00ANONYMOUSv4_computers21263--0.197--
1999-01-29T00:00:00ANONYMOUSv4_computers21263--0.197--
1999-03-01T00:00:00ANONYMOUSv4_computers21263--0.197--
1999-04-13T00:00:00ANONYMOUSv4_computers21263--0.197--
1999-05-16T00:00:00ANONYMOUSv4_computers21263--0.197--
1999-06-06T00:00:00ANONYMOUSv4_computers21263--0.197--
1999-07-30T00:00:00ANONYMOUSv4_computers21263--0.197--
1999-10-29T00:00:00ANONYMOUSv4_computers21263--0.197--
1999-11-04T00:00:00ANONYMOUSv4_computers21263--0.197--
2012-07-21T13:27:00AxelssonManual testing263264--0.242--
2022-04-08T19:05:35LordJuliusManual testing21264--0.439--
2022-04-10T12:38:57James HeinrichManual testing264265--0.461--
2022-04-08T19:05:35LordJuliusManual testing264265--0.461--
2022-04-10T12:38:57James HeinrichManual testing265266--0.921--
2022-04-08T19:05:35LordJuliusManual testing265266--0.921--
2022-04-10T12:38:57James HeinrichManual testing266267--1.843--
2022-04-08T19:05:35LordJuliusManual testing266267--1.843--
2022-02-12T09:11:02FlaukrotistManual 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)
1999-12-08T00:00:00ANONYMOUSv4_computers7627FC998D093FA42.118
2002-08-24T00:00:00ANONYMOUSv4_computers7627FC998D093FA42.118


PRP results:
dateuseridcompidcofactorsres64PRP
2018-08-16T13:39:49Oliver KruseGTX-4
13925535923745884996017
529AD0858D110E__no
2020-02-12T23:58:16noknonLIB-srv
13925535923745884996017
529AD0858D110E19no
2022-08-02T08:54:48FlaukrotistLenovo
13925535923745884996017
3465313521426496997152471
529AD0858D110E19no


P-1 factor-bounds graph:
B1 = 2200000, B2 = 1908376140 (P-1 stage 2)
B1 = 2200000 (P-1 stage 1)
B1 = 35000, B2 = 201250 (P-1 stage 2)
B1 = 35000 (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: 2022-08-02T08:54:48+00:00