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A128451
Numbers k such that the absolute value of 11^k - k^11 is prime.
8
8, 14, 80, 212, 230, 1352, 13674, 16094, 44772
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OFFSET
1,1
COMMENTS
Two larger terms 13674 and 16094 found by
Donovan Johnson
, Jul 2005.
LINKS
Table of n, a(n) for n=1..9.
Henri Lifchitz and Renaud Lifchitz,
PRP Records
.
MATHEMATICA
lst={}; k=11; Do[If[PrimeQ[Abs[k^n-n^k]], AppendTo[lst, n]], {n, 0, 10^4}]; lst (*
Vladimir Joseph Stephan Orlovsky
, Sep 10 2008 *)
PROG
(PARI) is(n)=ispseudoprime(abs(11^n-n^11)) \\
Charles R Greathouse IV
, Feb 17 2017
CROSSREFS
Cf.
A072180
,
A109387
,
A117705
,
A117706
,
A128447
,
A128448
,
A128449
,
A128450
,
A122003
,
A128453
.
Sequence in context:
A268160
A236553
A050582
*
A177170
A275006
A219778
Adjacent sequences:
A128448
A128449
A128450
*
A128452
A128453
A128454
KEYWORD
hard
,
more
,
nonn
,
less
AUTHOR
Alexander Adamchuk
, Mar 03 2007
EXTENSIONS
a(6)-a(8) from
Donovan Johnson
, Feb 26 2008
a(9) discovered by
Serge Batalov
, entered by
Robert Price
, Apr 11 2019
STATUS
approved
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Last modified September 16 04:06 EDT 2024. Contains 375959 sequences. (Running on oeis4.)