is 2 4015987 - 1
has 1208933 decimal digits
takes 0.501 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1FE95D7212CCC3FFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2677.398967.1642%46000001250000002.01829.4872%9.417170.2794%3.1152%
PrimeNet2610.076563.9344%160003200000.00592.7299%0.082464.9190%0.9845%
GPU722651.816766.1538%220003600000.00731.7504%1.824066.7463%0.5925%
Difference+2+5.5822+1.0103%+4578000+124640000+2.0109+7.7368%+7.5931+3.5331%+3.5331%

Known prime factors (2 factors, 176.9 bits, 0.00440501% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4015987850772942848862530768540092686.13710592326903060972692
22 × 32 × 72 × 43 × 1789 × 14323 × 5449793
2017-11-131432354497935,534,1300.05610.1003
401598721078563327300612027978530012890.768262433161851627159500
22 × 53 × 23 × 89 × 277 × 26249 × 35264549
2017-11-13262493526454973,247,8300.35200.6490

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
401598717933071352993653224421216842695587015007227271953
1009
54176.905
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-11-21T06:43:00harleeP4_260040000610000---0.013--1.793%
2013-06-19T15:02:00Squeeky_SquirrelP4_26001200002280000---0.043--3.112%
2015-01-03T13:21:00Nesowanewfs2250004556250---0.083--3.988%
2017-11-13T11:58:07mikrS07046000001250000001254176.9052.0181.0024.0369.487%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-05-23T00:00:00ANONYMOUSv4_computers21260--0.038--
2001-09-30T00:00:00ANONYMOUSv4_computers21261--0.076--
2009-11-07T22:22:00GrunwalderGIMPManual testing21263--0.397--
2016-02-23T16:29:45Mark RoseManual testing261263--0.321--
2013-07-28T11:55:00JayderManual testing263264--0.489--
2013-10-23T02:43:00David CampeauManual testing264265--0.930--
2015-05-18T21:31:00snme2pm1Manual testing265266--1.861--
2016-09-01T17:24:56kkmrkkblmbrbkManual testing266267--3.721--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.621 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:1.621 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.29074.802%
25500000.02697.410%
302500000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.621


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-06-28T00:00:00ANONYMOUSv4_computers1FE95D7212CCC3FF0.501
2015-11-14T18:08:59MadPooManual testing1FE95D7212CCC3FF0.501


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-14T00:00:04kkmrkkblmbrbkc4.xlarge
85077294284886253076854009
2107856332730061202797853001
46B7B5A0A11E37__no
2018-01-05T08:01:15ATHwork
85077294284886253076854009
2107856332730061202797853001
46B7B5A0A11E37__no


P-1 factor-bounds graph:
B1 = 4600000, B2 = 125000000 (P-1 stage 2)
B1 = 4600000 (P-1 stage 1)
B1 = 225000, B2 = 4556250 (P-1 stage 2)
B1 = 120000, B2 = 2280000 (P-1 stage 2)
B1 = 225000 (P-1 stage 1)
B1 = 120000 (P-1 stage 1)
B1 = 40000, B2 = 610000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
267
266
265
264
263
261
260
250
260
270
280
290
2100
Last modified: 2018-01-05T08:01:15+00:00