is 2 186709 - 1
has 56206 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
Actual267159.145673.1343%10000000020000000001.360712.2697%160.506376.4307%3.2963%
PrimeNet2400.000055.0000%2000450000.000012.0986%0.000060.4444%5.4444%
GPU722440.000059.0909%3400700000.00008.4285%0.000162.5389%3.4480%
Difference+23+159.1456+14.0434%+99996600+1999930000+1.3607+3.8411%+160.5063+13.8917%+13.8917%

Known prime factors (2 factors, 133.3 bits, 0.07141577% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
186709178456497179079756972063.95247790009367272
23 × 33 × 403331 × 548557
2014-04-2340333154855715.9500.00270.0055
1867097721624516278585800172169.3872067823328355512
23 × 72 × 13 × 405773808547
2007-08-2749405773808547868.41147.81276.08

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1867091377974063707182539801043158399736584684941133.340
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-13T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.594%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.473%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.130%
2003-02-16T00:00:00ANONYMOUSv4_computers13107213107200---0.006--2.916%
2003-10-08T00:00:00ANONYMOUSv4_computers26214426214400---0.011--3.818%
2017-06-04T04:16:11kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 17845649717907975697
--1.361--12.270%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2006-02-01T00:00:00Jocelyn Larouchev4_computers??63.952207.4020.00215.34
1999-11-10T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.013--
2022-03-07T04:34:33LordJuliusManual testing254255--0.013--
2001-01-28T00:00:00ANONYMOUSv4_computers21256--0.051--
2002-05-11T00:00:00ANONYMOUSv4_computers21257--0.103--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.647 GHz-days
Estimated T-Level:28.938
DigitsB1CurvesCompleteFacMiss
2011000785 / 1007.8500.037%
2550000785 / 2802.8046.029%
30250000504 / 6400.78845.470%

New Calculation Method

Total ECM effort:13.647 GHz-days
Estimated T-Level:28.938
DigitsB1CompleteFacMiss
201100056.6260.000%
25500008.0990.030%
302500000.84742.874%
3510000000.06993.301%
4030000000.00599.538%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002811.369
2500002500000050412.28


Lucas-Lehmer results:
No L-L results for M186709


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T01:12:20Oliver KruseOllaptop369A4A3CDBB7B6__?
2017-09-22T10:05:27Oliver KruseManual testing369A4A3CDBB7B6__?
2017-10-12T04:09:11kkmrkkblmbrbkc4.xlarge369A4A3CDBB7B6__no
2020-04-17T19:00:23Oliver KruseAddPrpType5
17845649717907975697
772162451627858580017
14F3EFF53A513F__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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108
100
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TF factor-bounds graph:
267
257
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255
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253
2
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2100
Last modified: 2022-03-07T04:34:33+00:00