is 2 2166289 - 1
has 652118 decimal digits
takes 0.142 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L287435A26F75CE0Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.716567.1642%500000150000000.12305.1725%13.839568.8626%1.6984%
PrimeNet2580.017762.0690%100001800000.00182.8549%0.019663.1519%1.0829%
GPU722620.283664.5161%100001600000.00171.5201%0.285365.0555%0.5394%
Difference+5+13.4329+2.6481%+490000+14840000+0.1213+3.6523%+13.5542+3.8071%+3.8071%

Known prime factors (1 factor, 64.9 bits, 0.00299763% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2166289353256968953621795992064.9378153505117591
3 × 2717835039197
2013-05-07327178350391972.558114,11726,367

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.279%
2010-11-03T21:28:00Jocelyn LaroucheManual testing2000020000---0.002--0.304%
2010-12-30T22:21:00Jocelyn LaroucheManual testing3000030000---0.003--0.418%
2011-01-15T02:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.600%
2011-01-21T18:48:00markrtiny1200002370000---0.023--2.869%
2016-03-30T11:20:49alpertronManual testing5000001500000012---0.123--5.172%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2022-03-09T16:35:56LordJuliusManual testing21260--0.071--
2009-01-04T03:10:00Sturle Sundehomilius.ifi260261--0.071--
2009-01-08T06:43:00Sturle Sundehomilius.ifi261262--0.142--
2013-01-23T08:20:00dbaughManual testing262263--0.453--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.121 GHz-days
Estimated T-Level:1.150
DigitsB1CurvesCompleteFacMiss
201100023 / 1000.23079.361%
255000023 / 2800.08292.100%

New Calculation Method

Total ECM effort:2.121 GHz-days
Estimated T-Level:1.150
DigitsB1CompleteFacMiss
20110000.91839.939%
25500000.08691.799%
302500000.00599.459%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000090.769
50000642381870.668
50000675000070.684


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14T00:00:00ANONYMOUSv4_computers287435A26F75CE0C0.142


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-09T02:27:03Oliver KruseGTX-3
35325696895362179599
87E75539738A56__no
2017-11-23T07:22:24kkmrkkblmbrbkc4.xlarge
35325696895362179599
87E75539738A56__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 120000, B2 = 2370000 (P-1 stage 2)
B1 = 120000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-08-03T05:17:46+00:00