is 2 4458499 - 1
has 1342142 decimal digits
takes 0.556 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF6C17A40C27BA427double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual271107.228567.6056%750000012441625350123.870512.7803%231.099071.7457%4.1401%
PrimeNet2610.068962.2951%180003600000.00662.9442%0.075563.4052%1.1101%
GPU722651.636464.6154%260005500000.00992.0876%1.646265.3541%0.7387%
Difference+6+105.5922+2.9902%+7474000+12441075350+123.8606+10.6926%+229.4528+6.3916%+3.4014%

Known prime factors (1 factor, 128.0 bits, 0.00287204% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
445849935223824342085042846307876310511159561739128.05039501886556535106149298089234192
24 × 3 × 13 × 32191 × 57077 × 432043 × 1806943 × 44133281
2022-08-181806943441332813.444e+100.74380.8122

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-21T12:37:00Carsten Kossendeydurandal25000362500---0.008--0.775%
2012-10-11T17:15:00Squeeky_SquirrelT7500_22002900007467500---0.123--3.055%
2021-04-24T10:13:09Architects CubedGCE_122200013853000---0.174--3.301%
2022-08-18T12:21:54xsslocal175000001244162535039128.050123.91.112247.712.780%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2002-06-15T00:00:00ANONYMOUSv4_computers21261--0.069--
2010-10-12T23:08:00markroldgamer261262--0.069--
2012-02-03T03:49:00GrunwalderGIMPManual testing21263--0.358--
2016-02-23T16:38:51Mark RoseManual testing262263--0.220--
2014-09-17T20:21:00JayderManual testing263264--0.440--
2014-09-18T16:25:00monstManual testing264265--0.838--
2015-06-24T23:36:00snme2pm1Manual testing265266--1.676--
2018-06-24T21:07:55ramgeisManual testing266267--3.352--
2018-06-24T21:07:55ramgeisManual testing267268--6.704--
2021-07-20T15:31:10MadPooManual testing268269--13.41--
2021-08-19T15:50:01SRBaseManual testing269270--26.82--
2021-08-22T16:47:18SRBaseManual testing270271--53.63--


ECM factoring results:
Total ECM effort:2.213 GHz-days
Estimated T-Level:2.308
DigitsB1CompleteFacMiss
20110000.46263.031%
25500000.04395.819%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000122.213


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-31T00:00:00ANONYMOUSv4_computersF6C17A40C27BA4270.556
1999-12-01T00:00:00ANONYMOUSv4_computersF6C17A40C27BA4270.556


PRP results:
dateuseridcompidcofactorsres64PRP
2022-08-21T15:08:00LordJuliusWhiteBox
352238243420850428463078763105111595617
3F6DEC4588E52980no


P-1 factor-bounds graph:
B1 = 7500000, B2 = 12441625350 (P-1 stage 2)
B1 = 7500000 (P-1 stage 1)
B1 = 222000, B2 = 13853000 (P-1 stage 2)
B1 = 290000, B2 = 7467500 (P-1 stage 2)
B1 = 290000 (P-1 stage 1)
B1 = 222000 (P-1 stage 1)
B1 = 25000, B2 = 362500 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
271
270
269
268
267
266
265
264
263
262
261
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2022-08-21T15:08:00+00:00