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A006033 Numbers n such that (15^n - 1)/14 is prime.
(Formerly M3150)
+0
16
3, 43, 73, 487, 2579, 8741, 37441 (list; graph; listen)
OFFSET

1,1

COMMENT

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

REFERENCES

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

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.

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]

CROSSREFS

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

Sequence in context: A137192 A059802 A139854 this_sequence A142184 A002551 A127930

Adjacent sequences: A006030 A006031 A006032 this_sequence 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

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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