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A057179
Numbers n such that (13^n + 1)/14 is a prime.
16
3, 11, 17, 19, 919, 1151, 2791, 9323, 56333, 1199467
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OFFSET
1,1
LINKS
Table of n, a(n) for n=1..10.
J. Brillhart et al.,
Factorizations of b^n +- 1
, Contemporary Mathematics, Vol. 22, Amer. Math. Soc., Providence, RI, 3rd edition, 2002.
H. Dubner and T. Granlund,
Primes of the Form (b^n+1)/(b+1)
, J. Integer Sequences, 3 (2000), #P00.2.7.
H. Lifchitz,
Mersenne and Fermat primes field
P. Bourdelais,
A Generalized Repunit Conjecture
MATHEMATICA
Select[Range@ 1500, PrimeQ[(13^# + 1)/14] &] (*
Michael De Vlieger
, Dec 15 2015 *)
PROG
(Prime95) PRP=1, 13, 1199467, 1, 0, 0, "14"
(PARI) is(n) = ispseudoprime((13^n + 1)/14); \\
Altug Alkan
, Dec 14 2015
CROSSREFS
Sequence in context:
A291277
A191375
A260793
*
A322962
A075334
A056983
Adjacent sequences:
A057176
A057177
A057178
*
A057180
A057181
A057182
KEYWORD
nonn
AUTHOR
N. J. A. Sloane
, Sep 15 2000
EXTENSIONS
a(9) corresponds to a probable prime discovered by
Paul Bourdelais
, Mar 18 2010
a(10) corresponds to a probable prime discovered by
Paul Bourdelais
, Dec 14 2015
STATUS
approved