is 2 4010551 - 1
has 1207297 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-L4EF2CC42670CAB5Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2677.408967.1642%46000001250000002.01829.4860%9.427170.2790%3.1148%
PrimeNet2610.076663.9344%160003200000.00592.7292%0.082564.9187%0.9843%
GPU722651.819166.1538%220003600000.00731.7500%1.826466.7461%0.5923%
Difference+2+5.5898+1.0103%+4578000+124640000+2.0109+7.7360%+7.6007+3.5328%+3.5328%

Known prime factors (2 factors, 176.0 bits, 0.00438927% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
40105512407803322426032456803868892787.63830018360599653669244
22 × 89 × 1069 × 1017827 × 77497073
2017-10-3010178277749707315,501,6820.93761.4262
40105514072378268891347805740152472788.39650770807663228167473
7 × 53 × 60859 × 405299 × 5548043
2017-10-30405299554804329,815,8720.12400.1492

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
401055198054859260121618226490172875560026858128383144896
583
53176.034
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00Team Prime Ribv4_computers20000300000---0.006--1.209%
2010-01-03T07:57:00Squeeky_SquirrelP4_260040000660000---0.013--1.831%
2013-06-17T14:37:00Squeeky_SquirrelP4_26001200002280000---0.043--3.111%
2015-01-02T15:37:00Nesowanewfs2250004556250---0.083--3.988%
2017-10-30T11:27:22mikrS06746000001250000001253176.0342.0181.0004.0369.486%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-09-22T00:00:00ANONYMOUSv4_computers21261--0.077--
2009-11-06T16:57:00GrunwalderGIMPManual testing21263--0.398--
2016-02-23T16:29:45Mark RoseManual testing261263--0.321--
2013-07-25T10:44:00JayderManual testing263264--0.490--
2013-10-07T16:37:00David CampeauManual testing264265--0.932--
2015-05-18T08:11:00snme2pm1Manual testing265266--1.863--
2016-08-30T23:22:23kkmrkkblmbrbkManual testing266267--3.727--


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)
1999-10-07T00:00:00ANONYMOUSv4_computers4EF2CC42670CAB5F0.500


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-31T07:55:04YarBerManual testing
240780332242603245680386889
407237826889134780574015247
BFA91FD5DD27B6__no
2018-03-16T19:40:38kkmrkkblmbrbkc5.large
240780332242603245680386889
407237826889134780574015247
BFA91FD5DD27B6__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 = 660000 (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
108
109
TF factor-bounds graph:
267
266
265
264
263
261
250
260
270
280
290
2100
Last modified: 2018-03-16T19:40:38+00:00