is 2 4441207 - 1
has 1336937 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-L2A87CACCED31DA54double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2676.690565.6716%180000018000000.32553.6362%7.016066.9199%1.2482%
PrimeNet2610.069262.2951%180003600000.00662.9422%0.075863.4044%1.1094%
GPU722651.642764.6154%260005500000.00992.0862%1.652665.3536%0.7382%
Difference+2+5.0478+1.0563%+1774000+1250000+0.3157+1.5500%+5.3634+1.5663%+1.5663%

Known prime factors (1 factor, 111.2 bits, 0.00250326% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4441207293085727756365459293973025214132934111.175329961796147269716649069752
23 × 11 × 23 × 113 × 137 × 1877 × 22271 × 155777 × 1617137
2016-10-2515577716171373.896e+100.04260.0573

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-08-09T09:29:00Carsten Kossendeydurandal25000356250---0.008--1.386%
2012-05-03T22:22:00Squeeky_SquirrelE5200_25001350002733750---0.050--3.354%
2016-10-25T22:44:03mikrMSI1800000180000034111.1750.3261.1080.6513.636%


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:55.265 GHz-days
DigitsB1CurvesCompleteFacMiss
2011000300 / 1003.0004.904%
2550000300 / 2801.07134.186%

New Calculation Method

Total ECM effort:55.265 GHz-days
DigitsB1CompleteFacMiss
20110009.6770.006%
25500000.87541.701%
302500000.05494.756%
3510000000.00299.754%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030055.26


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-12-08T00:00:00ANONYMOUSv4_computers2A87CACCED31DA540.554


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20T16:58:58kkmrkkblmbrbkManual testing
2930857277563654592939730252141329
DB6244702C1C93__no
2018-02-12T09:15:37ATHec2-1xf
2930857277563654592939730252141329
DB6244702C1C93__no


P-1 factor-bounds graph:
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)
103
104
105
106
107
103
104
105
106
107
TF factor-bounds graph:
267
266
265
264
263
262
261
250
260
270
280
290
2100
2110
2120
Last modified: 2018-02-12T09:15:37+00:00