is 2 2166457 - 1
has 652169 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-L75FD5DCB70BDA01Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.715467.1642%25000001250000000.87468.5920%14.590169.9854%2.8213%
PrimeNet2580.017762.0690%100001800000.00182.8550%0.019663.1519%1.0829%
GPU722620.283664.5161%100001600000.00171.5202%0.285365.0555%0.5394%
Difference+5+13.4319+2.6481%+2490000+124840000+0.8729+7.0718%+14.3048+4.9299%+4.9299%

Known prime factors (1 factor, 74.4 bits, 0.00343305% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2166457245042360754464124251932374.3755655370975617428
22 × 13 × 739153 × 147137513
2018-03-017391531471375132,938.70.83091.4274

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%
2011-01-21T17:42:00markrtiny1200002370000---0.023--2.869%
2014-10-05T22:22:00Jocelyn LaroucheManual testing149626149626---0.014--1.155%
2016-03-05T00:24:32Jocelyn LaroucheManual testing22443840398846---0.041--3.576%
2017-09-05T23:15:03Jocelyn Larouchelow 4M44887644887606---0.064--3.988%
2018-01-09T00:46:42mikrMSI250000012500000012---0.875--8.592%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:07Mark RoseManual testing258260--0.053--
2009-01-04T05:09:00Sturle Sundehomilius.ifi260261--0.071--
2009-01-08T10:54:00Sturle Sundehomilius.ifi261262--0.142--
2013-09-08T17:50:00ramgeisManual testing262263--0.453--
2015-03-25T10:09:00VictordeHollanderManual testing263264--0.906--
2015-03-25T10:09:00VictordeHollanderManual testing264265--1.725--
2015-12-30T18:01:38ramgeisManual testing265266--3.449--
2016-11-11T01:20:37Gordon SpenceManual testing266267--6.899--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.076 GHz-days
Estimated T-Level:1.800
DigitsB1CurvesCompleteFacMiss
201100036 / 1000.36069.641%
255000036 / 2800.12987.915%

New Calculation Method

Total ECM effort:3.076 GHz-days
Estimated T-Level:1.800
DigitsB1CompleteFacMiss
20110001.16131.308%
25500000.10590.036%
302500000.00699.356%


ECM Summary

B1B2factorcurvesGHz-days
500005000000332.819
50000500000030.256


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21T00:00:00ANONYMOUSv4_computers75FD5DCB70BDA01F0.142


PRP results:
dateuseridcompidcofactorsres64PRP
2018-03-02T20:31:33-p95holder- @bopoh13Lucius_Yorkfield
24504236075446412425193
2F14C52592ACDC__no
2018-03-07T19:42:35Oliver KruseGTX-6
24504236075446412425193
2F14C52592ACDC__no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 448876, B2 = 4488760 (P-1 stage 2)
B1 = 448876 (P-1 stage 1)
B1 = 224438, B2 = 4039884 (P-1 stage 2)
B1 = 120000, B2 = 2370000 (P-1 stage 2)
B1 = 224438 (P-1 stage 1)
B1 = 149626 (P-1 stage 1)
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)
102
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104
105
106
107
102
103
104
105
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109
TF factor-bounds graph:
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2018-03-07T19:42:35+00:00