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A006034 Numbers n such that (17^n-1)/16 is prime.
(Formerly M2415)
15
3, 5, 7, 11, 47, 71, 419, 4799, 35149, 54919, 74509 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

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

REFERENCES

H. Dubner, Generalized repunit primes, Math. Comp., 61 (1993), 927-930.

Ribenboim, Paulo; "The Book Of Prime Number Records"; published 1989 by Springer-Verlag; pages 350-354.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

H. Lifchitz, Mersenne and Fermat primes field

MATHEMATICA

lst={}; Do[If[PrimeQ[(17^n-1)/16], Print[n]; AppendTo[lst, n]], {n, 10^5}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 21 2008]

PROG

(Other) PFGW v3.3.1 [From Paul Bourdelais (pbourdelais(AT)radiantblue.com), Mar 10 2010]

CROSSREFS

Sequence in context: A061245 A137355 A147143 * A083840 A088051 A159471

Adjacent sequences:  A006031 A006032 A006033 * A006035 A006036 A006037

KEYWORD

hard,nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

a(9)=35149 & a(10)=54919 are probable primes discovered by Paul Bourdelais (pbourdelais(AT)radiantblue.com), Mar 08 2010

a(11)=74509 is a probable prime discovered by Paul Bourdelais (pbourdelais(AT)radiantblue.com), Mar 10 2010

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Last modified February 14 20:38 EST 2012. Contains 205663 sequences.