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A006033 Numbers n such that (15^n - 1)/14 is prime.
(Formerly M3150)
16
3, 43, 73, 487, 2579, 8741, 37441, 89009 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

8741 and 37441 are only probable primes. - Julien Peter Benney (jpbenney(AT)ftml.net), Apr 27 2007

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

EXAMPLE

(15^3-1)/14 = 241, which is prime.

MATHEMATICA

lst={}; Do[If[PrimeQ[(15^n-1)/14], 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 15 2010]

CROSSREFS

Cf. A083402, A058808, A059802, A002551, A062647, A003525.

Sequence in context: A059802 A139854 A194578 * A142184 A199348 A002551

Adjacent sequences:  A006030 A006031 A006032 * A006034 A006035 A006036

KEYWORD

nonn

AUTHOR

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

EXTENSIONS

One more term from Julien Peter Benney (jpbenney(AT)ftml.net), Apr 27 2007

a(8)=89009 is a probable prime discovered by Paul Bourdelais (pbourdelais(AT)radiantblue.com), Mar 15 2010

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Last modified February 14 10:43 EST 2012. Contains 205614 sequences.