is 2 4412141 - 1
has 1328187 decimal digits
takes 0.550 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF8703CB1110B776Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2676.734665.6716%1800000680000000.97788.1964%7.712468.4853%2.8137%
PrimeNet2610.069662.2951%180003600000.00662.9389%0.076263.4032%1.1081%
GPU722651.653664.6154%260005000000.00942.0328%1.662965.3347%0.7193%
Difference+2+5.0810+1.0563%+1774000+67500000+0.9684+6.1636%+6.0495+3.1506%+3.1506%

Known prime factors (1 factor, 88.0 bits, 0.00199516% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
44121413157843863428641616031176412788.02935785844824866676020
22 × 33 × 5 × 13 × 23 × 1069 × 7039 × 29454907
2016-08-0670392945490717,344,3290.29140.5421

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-17T22:40:00Carsten Kossendeydurandal25000356250---0.008--1.385%
2012-03-28T10:28:00Squeeky_SquirrelT7500_22001350002733750---0.050--3.351%
2016-08-07T02:48:07mikrMSI180000068000000122788.0290.9781.1011.9568.196%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-12-08T00:00:00ANONYMOUSv4_computers21261--0.070--
2010-10-27T21:03:00markroldgamer261262--0.070--
2012-02-03T03:48:00GrunwalderGIMPManual testing21263--0.362--
2016-02-23T16:38:50Mark RoseManual testing262263--0.222--
2014-08-15T18:41:00JayderManual testing263264--0.445--
2014-08-18T12:34:00lycornManual testing264265--0.847--
2015-06-21T21:10:00snme2pm1Manual testing265266--1.694--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.104 GHz-days
Estimated T-Level:0.300
DigitsB1CurvesCompleteFacMiss
20110006 / 1000.06094.148%
25500006 / 2800.02197.876%

New Calculation Method

Total ECM effort:1.104 GHz-days
Estimated T-Level:0.300
DigitsB1CompleteFacMiss
20110000.19482.403%
25500000.01798.266%
302500000.00199.892%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.104


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-11-17T00:00:00ANONYMOUSv4_computersF8703CB1110B776B0.550


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20T06:44:34kkmrkkblmbrbkManual testing
315784386342864161603117641
D2B41F750E2112__no
2018-02-09T08:02:19pewdesktop
315784386342864161603117641
D2B41F750E2112__no


P-1 factor-bounds graph:
B1 = 1800000, B2 = 68000000 (P-1 stage 2)
B1 = 1800000 (P-1 stage 1)
B1 = 135000, B2 = 2733750 (P-1 stage 2)
B1 = 135000 (P-1 stage 1)
B1 = 25000, B2 = 356250 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
267
266
265
264
263
262
261
250
260
270
280
290
2100
Last modified: 2018-02-09T08:02:19+00:00