is 2 440047 - 1
has 132468 decimal digits
takes 0.005 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26767.524471.6418%30000001000000000.14157.1845%67.665973.6792%2.0374%
PrimeNet2400.000052.5000%45001400000.000218.1147%0.000261.1045%8.6045%
GPU722440.000056.8182%80002400000.000413.6120%0.000462.6961%5.8779%
Difference+23+67.5244+14.8236%+2992000+99760000+0.1411-6.4275%+67.6655+10.9831%+10.9831%

Known prime factors (2 factors, 140.4 bits, 0.03189910% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
44004717307119775541242491960.5861966508097492
22 × 3 × 2141 × 76541651
2007-09-042141765416510.47230.07130.1330
44004710415060166392866159757772579.7851183403155389409104
24 × 3 × 181 × 683 × 409397 × 487133
2014-11-21409397487133482,0200.00710.0142

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
440047180254693769229837430430299575445783231647343140.371
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-01T00:00:00ANONYMOUSv4_computers500001000000---0.002--1.476%
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.718%
2002-08-31T00:00:00ANONYMOUSv4_computers655366553600---0.007--2.445%
2003-04-03T00:00:00ANONYMOUSv4_computers13107213107200---0.014--3.300%
2014-11-21T15:50:00alpertronManual testing3000000100000000122579.7850.0510.0100.1027.185%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-03-17T00:00:00ANONYMOUSv4_computers21256--0.022--
2002-02-10T00:00:00ANONYMOUSv4_computers21257--0.044--
2004-01-07T00:00:00ANONYMOUSv4_computers21258--0.087--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.877 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000425 / 1004.2501.396%
2550000425 / 2801.51821.859%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:12.877 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8990.000%
25500003.0284.840%
302500000.28775.049%
3510000000.02297.832%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002813.615
250000250000001449.262


Lucas-Lehmer results:
No L-L results for M440047


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-24T08:17:57Oliver KruseDoppelherz
1730711977554124249
1041506016639286615975777
74D0DF487B9EAA25no
2017-09-24T17:47:50Oliver KruseManual testing
1730711977554124249
1041506016639286615975777
74D0DF487B9EAA25no
2017-10-13T09:26:35kkmrkkblmbrbkc4.xlarge74D0DF487B9EAA__no
2020-04-18T18:32:36Oliver KruseAddPrpType5
1730711977554124249
1041506016639286615975777
718CEDC5AAC0F1__no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
267
258
257
256
250
260
270
280
290
2100
Last modified: 2020-04-18T18:32:36+00:00