is 2 4441111 - 1
has 1336908 decimal digits
takes 0.554 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF4F3AFA11775F579double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2676.690665.6716%12000000120000002.17026.2346%8.860867.8119%2.1403%
PrimeNet2610.069262.2951%180003600000.00662.9422%0.075863.4044%1.1094%
GPU722651.642864.6154%260005500000.00992.0862%1.652665.3536%0.7382%
Difference+2+5.0479+1.0563%+11974000+11450000+2.1603+4.1484%+7.2082+2.4583%+2.4583%

Known prime factors (1 factor, 103.7 bits, 0.00233408% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
44411111601210595968773443963117271562332103.6591802714001033495271749701
434743 × 530249 × 812807 × 9621149
2017-10-2881280796211494.330e+100.23380.2992

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-15T00:00:00ANONYMOUSv4_computers25000300000---0.007--1.318%
2011-07-06T16:54:00harleeP4_260050000812500---0.017--2.073%
2014-08-22T20:27:00Jocelyn LaroucheManual testing6445264452---0.012--0.814%
2014-12-02T02:14:00Nesowanewfs2550005482500---0.098--4.272%
2017-10-28T08:44:32mikrS06590000009000000---1.628--5.801%
2017-10-28T13:20:10mikrS065120000001200000032103.6592.1701.1084.3406.235%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2002-04-28T00:00:00ANONYMOUSv4_computers21261--0.069--
2010-04-03T13:19:00Architects CubedManual testing261262--0.069--
2012-02-03T03:48:00GrunwalderGIMPManual testing21263--0.359--
2016-02-23T16:38:51Mark RoseManual testing262263--0.221--
2014-09-07T23:02:00JayderManual testing263264--0.442--
2014-09-13T18:29:00monstManual testing264265--0.841--
2015-06-23T21:45:00snme2pm1Manual testing265266--1.683--


ECM factoring results:

Old Calculation Method

Total ECM effort:51.764 GHz-days
DigitsB1CurvesCompleteFacMiss
2011000281 / 1002.8105.936%
2550000281 / 2801.00436.591%

New Calculation Method

Total ECM effort:51.764 GHz-days
DigitsB1CompleteFacMiss
20110009.0650.012%
25500000.81944.077%
302500000.05095.080%
3510000000.00299.769%


ECM Summary

B1B2factorcurvesGHz-days
50000500000028151.76


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-02-16T00:00:00ANONYMOUSv4_computers058C54884FBBCD__0.554
2001-04-15T00:00:00ANONYMOUSv4_computersF4F3AFA11775F5790.554


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-29T17:20:09YarBerManual testing
16012105959687734439631172715623
66D2B1B111B3BB__no
2017-10-30T05:05:37YarBerManual testing
16012105959687734439631172715623
66D2B1B111B3BB__no
2018-03-16T18:11:55kkmrkkblmbrbkc5.large
16012105959687734439631172715623
66D2B1B111B3BB__no


P-1 factor-bounds graph:
B1 = 12000000 (P-1 stage 1)
B1 = 9000000 (P-1 stage 1)
B1 = 255000, B2 = 5482500 (P-1 stage 2)
B1 = 255000 (P-1 stage 1)
B1 = 50000, B2 = 812500 (P-1 stage 2)
B1 = 64452 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 25000, B2 = 300000 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
103
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105
106
107
108
103
104
105
106
107
108
TF factor-bounds graph:
267
266
265
264
263
262
261
250
260
270
280
290
2100
2110
Last modified: 2018-03-16T18:11:55+00:00