

A006034


Numbers n such that (17^n1)/16 is prime.
(Formerly M2415)


12



3, 5, 7, 11, 47, 71, 419, 4799, 35149, 54919, 74509
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OFFSET

1,1


COMMENTS

No others for any n less than 8447.  Julien Peter Benney (jpbenney(AT)ftml.net), Aug 15 2004


REFERENCES

Ribenboim, Paulo; "The Book Of Prime Number Records"; published 1989 by SpringerVerlag; pages 350354.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).


LINKS

Table of n, a(n) for n=1..11.
H. Dubner, Generalized repunit primes, Math. Comp., 61 (1993), 927930.
H. Dubner, Generalized repunit primes, Math. Comp., 61 (1993), 927930. [Annotated scanned copy]
H. Lifchitz, Mersenne and Fermat primes field


MATHEMATICA

lst={}; Do[If[PrimeQ[(17^n1)/16], Print[n]; AppendTo[lst, n]], {n, 10^5}]; lst (* Vladimir Joseph Stephan Orlovsky, Aug 21 2008 *)


PROG

(PARI) is(n)=isprime((17^n1)/16) \\ Charles R Greathouse IV, Apr 28 2015


CROSSREFS

Sequence in context: A242944 A137355 A147143 * A288716 A083840 A088051
Adjacent sequences: A006031 A006032 A006033 * A006035 A006036 A006037


KEYWORD

hard,nonn,more


AUTHOR

N. J. A. Sloane


EXTENSIONS

a(9)=35149 & a(10)=54919 are probable primes discovered by Paul Bourdelais, Mar 08 2010
a(11)=74509 is a probable prime discovered by Paul Bourdelais, Mar 10 2010


STATUS

approved



