is 2 11440127 - 1
has 3443822 decimal digits
takes 4.404 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LA069FB80EE5A887Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27141.789666.1972 %65000037425738011.72617.3494 %53.515768.6815 %
Target2685.210264.7059 %8000095000000.33122.8862 %5.541365.7245 %
Difference+3+36.5794+1.4913 %+570000+364757380+11.3950+4.4633%+47.9744+2.9570 %

Known prime factors (1 factor, 98.1 bits, 0.00085739% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
114401273363976948106316808694845849133098.08614702533232831754440728
23 × 13 × 1741 × 2111 × 103067 × 373209071
2022-07-201030673732090719.143e+911.40621.201

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-10-08Xyzzyv4_computers6500011862506--0.0702.479%
2015-04-12Sid & AndyHamm12000020700006--0.1263.161%
2022-07-20James Heinrichi3-810065000037425738023098.08612.449.481%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-01-12bezaharv4_computers212640.172
2013-11-16lycornManual testing2642650.327
2015-02-25NesowaManual testing2652660.653
2016-01-15VictordeHollanderManual testing2662671.306
2018-01-11ramgeisManual testing2672697.838
2021-08-06SRBaseManual testing26927010.45
2021-08-15SRBaseManual testing27027120.90


ECM factoring results:
Total ECM effort:1.171 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000021.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-03-25davidcrossv4_computersA069FB80EE5A887F4.404
2004-02-23ANONYMOUSv4_computersA069FB80EE5A887F4.404


PRP results:
dateuseridcompidcofactorsres64
2022-07-26Funky Waddlemain
336397694810631680869484584913
45A46FB50FEE18BF


CERT results:
dateuseridcompid
2022-07-26hordkhenxqMA5AD3nG9YSZZ


P-1 factor-bounds graph:
B1 = 650000, B2 = 374257380 (P-1 stage 2)
B1 = 650000 (P-1 stage 1)
B1 = 120000, B2 = 2070000 (P-1 stage 2)
B1 = 65000, B2 = 1186250 (P-1 stage 2)
B1 = 120000 (P-1 stage 1)
B1 = 65000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
109
TF factor-bounds graph:
271
270
269
267
266
265
264
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.38 ~= -15-bit
250
260
270
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00