is 2 166667 - 1
has 50172 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267178.283173.1343%10000000020000000000.975512.1692%179.258676.4037%3.2693%
PrimeNet2400.000055.0000%1800400000.000011.4272%0.000060.1422%5.1422%
GPU722440.000059.0909%3000600000.00007.8060%0.000062.2843%3.1934%
Difference+23+178.2831+14.0434%+99997000+1999940000+0.9754+4.3632%+179.2586+14.1194%+14.1194%

Known prime factors (1 factor, 66.6 bits, 0.03996970% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1666671131107148925986765772166.616339331466014864
24 × 21208216625929
2007-09-201621208216625929114.315,538.310,344

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.003--2.550%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.443%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.002--2.091%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.004--2.867%
2003-10-08T00:00:00ANONYMOUSv4_computers26214426214400---0.008--3.761%
2017-05-01T23:58:50kkmrkkblmbrbkManual testing100000000200000000012---0.975--12.169%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.004--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.014--
2022-03-07T04:07:00LordJuliusManual testing254255--0.014--
2001-01-14T00:00:00ANONYMOUSv4_computers21256--0.058--
2002-06-15T00:00:00ANONYMOUSv4_computers21257--0.115--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.144 GHz-days
Estimated T-Level:29.563
DigitsB1CurvesCompleteFacMiss
2011000863 / 1008.6300.017%
2550000863 / 2803.0824.561%
30250000584 / 6400.91240.123%

New Calculation Method

Total ECM effort:11.144 GHz-days
Estimated T-Level:29.563
DigitsB1CompleteFacMiss
201100063.8220.000%
25500009.2180.010%
302500000.97137.875%
3510000000.08092.325%
4030000000.00599.467%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002790.972
2500002500000058410.17


Lucas-Lehmer results:
No L-L results for M166667


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T23:56:20Oliver KruseOllaptop
113110714892598676577
6EAF40EDA33903__no
2017-09-22T10:03:53Oliver KruseManual testing
113110714892598676577
6EAF40EDA33903__no
2017-10-12T00:34:23kkmrkkblmbrbkc4.xlarge6EAF40EDA33903__no
2020-04-17T17:50:37Oliver KruseAddPrpType5
113110714892598676577
C13ED05EE383CA__no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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 = 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)
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TF factor-bounds graph:
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Last modified: 2022-03-07T04:07:00+00:00