is 2 4007687 - 1
has 1206435 decimal digits
takes 0.500 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA74433B592699A1Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2677.414267.1642%460000046000000.83194.7845%8.246168.7352%1.5710%
PrimeNet2610.076663.9344%160003200000.00592.7289%0.082564.9186%0.9842%
GPU722651.820466.1538%200003600000.00701.7040%1.827466.7306%0.5767%
Difference+2+5.5938+1.0103%+4580000+4240000+0.8249+3.0805%+6.4187+2.0046%+2.0046%

Known prime factors (2 factors, 161.2 bits, 0.00402310% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4007687176910695336431340325672373.9052207142116343309
3 × 5869 × 343913 × 364499
2017-10-23343913364499905.970.06240.1266
40076871942104401904539490470801512787.32824229741518044441725
52 × 29 × 129499 × 273941 × 942079
2017-10-2327394194207911,925,7300.05610.1008

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
4007687343579040156876191899263285771409808744949327761749161.233
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00Team Prime Ribv4_computers20000300000---0.006--1.209%
2010-01-02T11:38:00Squeeky_SquirrelP4_260040000600000---0.013--1.784%
2013-02-09T14:46:00Squeeky_SquirrelP4_2600900001575000---0.031--2.712%
2014-12-31T07:46:00Nesowanewfs2250004556250---0.083--3.987%
2017-10-23T09:46:05mikrS0594600000460000049161.2330.8321.0001.6644.784%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-04-27T00:00:00ANONYMOUSv4_computers21260--0.038--
2001-08-12T00:00:00ANONYMOUSv4_computers21261--0.077--
2009-11-06T16:57:00GrunwalderGIMPManual testing21263--0.398--
2016-02-23T16:29:45Mark RoseManual testing261263--0.322--
2013-07-23T09:54:00JayderManual testing263264--0.490--
2013-10-07T20:32:00David CampeauManual testing264265--0.932--
2015-05-18T03:59:00snme2pm1Manual testing265266--1.865--
2016-08-29T15:23:58kkmrkkblmbrbkManual testing266267--3.729--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.620 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:1.620 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.29074.802%
25500000.02697.410%
302500000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.620


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-27T00:00:00ANONYMOUSv4_computersA74433B592699A1F0.500
1999-10-07T00:00:00ANONYMOUSv4_computersA74433B592699A1F0.500


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-23T15:13:51YarBerManual testing
17691069533643134032567
194210440190453949047080151
2EB3CDB5D0E499__no
2018-03-16T19:29:49kkmrkkblmbrbkc5.large
17691069533643134032567
194210440190453949047080151
2EB3CDB5D0E499__no


P-1 factor-bounds graph:
B1 = 4600000 (P-1 stage 1)
B1 = 225000, B2 = 4556250 (P-1 stage 2)
B1 = 225000 (P-1 stage 1)
B1 = 90000, B2 = 1575000 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
B1 = 40000, B2 = 600000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
B1 = 20000, B2 = 300000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
TF factor-bounds graph:
267
266
265
264
263
261
260
250
260
270
280
290
2100
Last modified: 2018-03-16T19:29:49+00:00