is 2 2349973 - 1
has 707413 decimal digits
takes 0.159 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L06FFC4A56548F760double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.364167.6471%60000001800000001.51648.9762%26.880470.5511%2.9041%
PrimeNet2580.016362.0690%110002000000.00213.0487%0.018463.2254%1.1564%
GPU722620.261464.5161%130002200000.00241.8355%0.263865.1674%0.6513%
Difference+6+25.1026+3.1309%+5987000+179780000+1.5140+7.1407%+26.6166+5.3837%+5.3837%

Known prime factors (1 factor, 77.9 bits, 0.00331519% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23499732831788374635713183560472477.90660251508732987851
173 × 3527 × 98745284081
2020-07-3035279874528408117,285526.99984.28

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.231%
2010-03-05T07:43:00Budannan50000010000000---0.100--4.381%
2018-02-13T03:49:50Sid & AndyHand_In_The_Box600000018000000012---1.516--8.976%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:12Mark RoseManual testing21260--0.065--
2009-01-17T07:25:00Sturle Sundekorsmo.ifi260261--0.065--
2012-05-29T13:40:00Sebastian HornbostelManual testing261262--0.131--
2013-12-04T21:14:00Jerry HallettManual testing262263--0.418--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.835--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.590--
2015-10-27T09:37:25ramgeisManual testing265266--3.180--
2017-06-11T03:38:01Gordon SpenceManual testing266267--6.360--
2019-03-04T13:44:33TJAOIManual testing267268--12.72--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.923 GHz-days
Estimated T-Level:3.900
DigitsB1CurvesCompleteFacMiss
201100078 / 1000.78045.661%
255000078 / 2800.27975.649%

New Calculation Method

Total ECM effort:6.923 GHz-days
Estimated T-Level:3.900
DigitsB1CompleteFacMiss
20110002.5168.077%
25500000.22779.660%
302500000.01498.609%


ECM Summary

B1B2factorcurvesGHz-days
500005000000756.656
50000500000030.266


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-04T00:00:00ANONYMOUSv4_computers06FFC4A56548F7600.159
2018-05-09T19:07:54kkmrkkblmbrbkold06FFC4A56548F7600.159


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-31T06:20:05mnd9printer
283178837463571318356047
EFA37E2174D819D2no
2020-07-31T21:48:40marssystemsSYSTEM01
283178837463571318356047
EFA37E2174D819D2no


P-1 factor-bounds graph:
B1 = 6000000, B2 = 180000000 (P-1 stage 2)
B1 = 6000000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
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105
106
107
102
103
104
105
106
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108
109
1010
1011
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2020-07-31T21:48:40+00:00