is 2 2142967 - 1
has 645098 decimal digits
takes 0.141 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L71DFFCA3BDDD7E7Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.814267.6471%25000001250000000.87467.9143%28.688870.2076%2.5605%
PrimeNet2580.017962.0690%90001700000.00172.7321%0.019663.1053%1.0363%
GPU722620.286764.5161%100001500000.00171.4880%0.288465.0441%0.5280%
Difference+6+27.5275+3.1309%+2490000+124850000+0.8730+6.4264%+28.4005+5.1635%+5.1635%

Known prime factors (1 factor, 82.1 bits, 0.00383313% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
214296753382511540290942111627532582.1431245528081867124928
26 × 5581 × 3487076917967
2020-07-0755813487076917967505,33918,11333,830

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.225%
2010-11-02T22:12:00ANONYMOUSManual testing2000020000---0.002--0.254%
2010-12-30T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.353%
2011-01-13T23:58:00Jocelyn LaroucheManual testing5000050000---0.005--0.512%
2011-01-24T16:21:00James Heinrichi7-9201300002632500---0.025--2.654%
2014-10-28T23:25:00Jocelyn LaroucheManual testing159951159951---0.015--1.044%
2016-06-06T01:26:58Jocelyn LaroucheManual testing17594652650006---0.043--3.265%
2016-11-13T02:06:36Jocelyn Larouchelow 4M211135211135---0.020--1.208%
2017-04-22T17:25:11Jocelyn Larouchelow 4M35189235189206---0.050--3.301%
2017-04-27T04:20:45Jocelyn Larouchelow 4M42227042227006---0.060--3.520%
2017-11-03T15:49:13mikrMSI250000012500000012---0.875--7.914%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-04-13T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:07Mark RoseManual testing258260--0.054--
2009-01-04T20:28:00Sturle Sundefoster.ifi260261--0.072--
2009-01-07T04:46:00Sturle Sundeginjtje.ifi261262--0.143--
2013-09-07T11:35:00ramgeisManual testing262263--0.458--
2015-03-18T10:56:00VictordeHollanderManual testing263264--0.916--
2015-03-18T10:56:00VictordeHollanderManual testing264265--1.744--
2015-12-27T16:49:16ramgeisManual testing265266--3.487--
2016-10-29T15:24:11Gordon SpenceManual testing266267--6.974--
2019-04-15T13:43:12TJAOIManual testing267268--13.95--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.105 GHz-days
Estimated T-Level:4.750
DigitsB1CurvesCompleteFacMiss
201100095 / 1000.95038.490%
255000095 / 2800.33971.185%

New Calculation Method

Total ECM effort:8.105 GHz-days
Estimated T-Level:4.750
DigitsB1CompleteFacMiss
20110003.0654.668%
25500000.27775.808%
302500000.01798.309%


ECM Summary

B1B2factorcurvesGHz-days
500005000000937.934
50000500000020.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27T00:00:00ANONYMOUSv4_computers71DFFCA3BDDD7E7C0.141
2018-04-07T20:21:29kkmrkkblmbrbkold71DFFCA3BDDD7E7C0.141


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-10T12:14:05mnd9mnd
5338251154029094211162753
E07C03A378EC1227no
2020-07-15T22:10:35James HeinrichC2750
5338251154029094211162753
E07C03A378EC1227no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 422270, B2 = 4222700 (P-1 stage 2)
B1 = 351892, B2 = 3518920 (P-1 stage 2)
B1 = 175946, B2 = 5265000 (P-1 stage 2)
B1 = 422270 (P-1 stage 1)
B1 = 351892 (P-1 stage 1)
B1 = 130000, B2 = 2632500 (P-1 stage 2)
B1 = 211135 (P-1 stage 1)
B1 = 175946 (P-1 stage 1)
B1 = 159951 (P-1 stage 1)
B1 = 130000 (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
103
104
105
106
107
102
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105
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109
1010
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1013
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
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260
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2100
Last modified: 2020-07-15T22:10:35+00:00