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A057182
Numbers n such that (16^n + 1)/17 is a prime.
22
3, 5, 7, 23, 37, 89, 149, 173, 251, 307, 317, 30197, 1025393
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OFFSET
1,1
LINKS
Table of n, a(n) for n=1..13.
Paul Bourdelais,
A Generalized Repunit Conjecture
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
Eric Weisstein's World of Mathematics,
Ferrier's Prime
MATHEMATICA
m = 16; Select[Range[0, 10^3], PrimeQ[(m^# + 1)/(m + 1)] & ] (*
Robert Price
, Oct 15 2018 *)
PROG
(Prime95) PRP=1, 2, 4101572, 1, 0, 0, "17"
CROSSREFS
Subsequence of
A195439
. [
Arkadiusz Wesolowski
, Dec 18 2011]
Sequence in context:
A154764
A320256
A101773
*
A038916
A019363
A288890
Adjacent sequences:
A057179
A057180
A057181
*
A057183
A057184
A057185
KEYWORD
hard
,
more
,
nonn
AUTHOR
N. J. A. Sloane
, Sep 15 2000
EXTENSIONS
a(12) from
Robert G. Wilson v
, Apr 11 2005
a(13) gives a probable prime discovered by
Paul Bourdelais
, Aug 20 2014
STATUS
approved