is 2 1668427 - 1
has 502247 decimal digits
takes 0.079 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L51C218FF686AC7DAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26717.809568.6567%1000000200000000.13895.6950%17.948470.4417%1.7850%
PrimeNet2570.011563.1579%70001200000.00092.5690%0.012464.1044%0.9465%
GPU722610.184165.5738%7000800000.00071.2065%0.184965.9891%0.4154%
Difference+6+17.6254+3.0829%+993000+19920000+0.1381+4.4884%+17.7636+4.4526%+4.4526%

Known prime factors (1 factor, 83.5 bits, 0.00500639% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1668427139444243368729147839288232683.5284178913532588754193
3 × 13 × 17 × 279511 × 22550228801
2016-10-18279511225502288011,761,94383.858156.59

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--2.262%
2012-02-29T20:12:00AxonManual testing800000800000---0.055--2.385%
2012-02-29T21:10:00AxonManual testing900000900000---0.061--2.496%
2012-02-29T21:14:00AxonManual 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--
2010-04-30T03:20:00Architects 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--0.588--
2015-05-11T17:04:00omylistManual testing263264--1.177--
2015-05-12T12:38:00monstManual testing264265--2.239--
2015-10-11T16:52:51ramgeisManual testing265266--4.479--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.890 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:14.890 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.0970.030%
25500000.73248.105%
302500000.04595.594%
3510000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
50000500000024914.77
50000500000020.119


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computers51C218FF686AC7DA0.079
2015-07-19T18:02:00MadPooManual testing51C218FF686AC7DA0.079


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-02T22:07:14Oliver KruseGTX-0
13944424336872914783928823
9D4B5A1E43C49C__no
2017-11-03T00:16:37kkmrkkblmbrbkold
13944424336872914783928823
9D4B5A1E43C49C__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)
104
105
106
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
266
265
264
263
262
261
260
257
250
260
270
280
290
2100
Last modified: 2019-12-30T12:49:57+00:00