is 2 1667363 - 1
has 501927 decimal digits
takes 0.078 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LAA6B7888C962AEC9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26717.820968.6567%1000000200000000.13895.6945%17.959870.4416%1.7849%
PrimeNet2570.011563.1579%70001200000.00092.5687%0.012464.1043%0.9464%
GPU722610.184265.5738%7000800000.00071.2064%0.185065.9891%0.4153%
Difference+6+17.6367+3.0829%+993000+19920000+0.1381+4.4882%+17.7748+4.4525%+4.4525%

Known prime factors (1 factor, 75.2 bits, 0.00451063% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1667363436574314549342377068392375.20913091759699277913
6911 × 43711 × 43337753
2017-12-2943711433377538,833.90.16390.3009

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-02-29T17:09:00AxonManual testing100000100000---0.007--0.880%
2012-02-29T17:13:00AxonManual testing200000200000---0.014--1.284%
2012-02-29T18:09:00AxonManual testing300000300000---0.020--1.565%
2012-02-29T18:12:00AxonManual testing400000400000---0.027--1.785%
2012-02-29T19:10:00AxonManual testing500000500000---0.034--1.967%
2012-02-29T19:13:00AxonManual testing600000600000---0.041--2.124%
2012-02-29T20:09:00AxonManual testing700000700000---0.048--2.261%
2012-02-29T20:12:00AxonManual testing800000800000---0.055--2.384%
2012-02-29T21:10:00AxonManual testing900000900000---0.061--2.496%
2012-02-29T21:13:00AxonManual testing10000001000000---0.068--2.598%
2012-03-01T06:08:00AxonManual testing10000008000000---0.094--4.729%
2012-03-01T07:09:00AxonManual testing100000020000000---0.139--5.695%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-11-14T00:00:00ANONYMOUSv4_computers21257--0.012--
2016-02-23T16:28:45Mark RoseManual testing257260--0.081--
2010-04-29T07:17:00Architects Cubedi4l_1260261--0.092--
2016-02-23T16:28:45Mark RoseManual testing261262--0.184--
2010-08-22T04:21:00GrunwalderGIMPManual testing21263--0.957--
2016-02-23T16:28:45Mark RoseManual testing262263--0.589--
2015-05-11T17:04:00omylistManual testing263264--1.177--
2015-05-12T17:22:00monstManual testing264265--2.241--
2015-10-11T16:52:34ramgeisManual testing265266--4.482--
2017-10-06T10:48:16TJAOIManual testing266267--8.964--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.889 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:14.889 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.0970.030%
25500000.73248.105%
302500000.04595.594%
3510000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025014.83
50000500000010.059


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-27T00:00:00Ethan O'Connorv4_computersAA6B7888C962AEC90.078
2015-07-19T18:02:00MadPooManual testingAA6B7888C962AEC90.078


PRP results:
dateuseridcompidcofactorsres64PRP
2018-01-01T04:58:28Oliver KruseGTX-6
43657431454934237706839
6D8975ABB858FC__no
2018-01-01T17:18:39kkmrkkblmbrbkc4.xlarge
43657431454934237706839
6D8975ABB858FC__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000, B2 = 8000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 900000 (P-1 stage 1)
B1 = 800000 (P-1 stage 1)
B1 = 700000 (P-1 stage 1)
B1 = 600000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 400000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
267
266
265
264
263
262
261
260
257
250
260
270
280
290
2100
Last modified: 2019-12-23T11:27:10+00:00