is 2 5296453 - 1
has 1594392 decimal digits
takes 0.836 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L0BFE474CA0C3873Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26811.253766.1765 %15000487500.00390.5150 %11.257666.3507 %
Target2662.788465.1515 %3200030000000.04442.0262 %2.832765.8576 %
Difference+2+8.4654+1.0250 %-17000-2951250-0.0405-1.5111 %+8.4249+0.4931 %

Known prime factors (1 factor, 63.6 bits, 0.00120005% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5296453136009995462488614072063.5601283972457251
11 × 17 × 29 × 2593 × 91309
2009-11-072593913090.40810.00170.0021

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-08-17ANONYMOUSv4_computers2000020000--0.0050.443%
2001-01-08ANONYMOUSv4_computers1500048750--0.0040.713%
2009-11-07USAFSSP4_26002063.5600.0280.000%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-03-03Lars Frickev4_computers212610.029
1998-06-07ANONYMOUSv4_computers212620.058
2009-06-02GrunwalderGIMPManual testing2622630.185
2022-06-22LordJuliusManual testing264267
2021-12-10Denial140Manual testing267268


ECM factoring results:
No ECM results for M5296453


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-07-11netconxv4_computers0BFE474CA0C3873A0.836
2001-01-14ANONYMOUSv4_computers0BFE474CA0C3873A0.836


PRP results:
dateuseridcompidcofactorsres64
2017-11-26Oliver KruseGTX-0
13600999546248861407
38542AD260BF6641
2018-02-03kkmrkkblmbrbkold
13600999546248861407
38542AD260BF6641


CERT results:
No CERT results for M5296453


P-1 factor-bounds graph:
B1 = 20000 (P-1 stage 1)
B1 = 15000, B2 = 48750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
102
103
104
105
102
103
104
105
TF factor-bounds graph:
268
267
263
262
261
this exponent TF target: 66
TF double-checked to: 67
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00