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A122853 Numbers n such that (3^n + 5^n)/8 = A074606(n)/8 is a prime. 29
3, 5, 7, 17, 19, 109, 509, 661, 709, 1231 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

(3^n + 5^n)/8 = A074606(n)/8 = A081186(n)/4.

Corresponding primes of the form (3^n + 5^n)/2^3 are listed in A121938(n) = A079773(a(n)) = {19,421,10039,95383574161,2384331073699,...}.

MATHEMATICA

Do[f=5^n+3^n; If[PrimeQ[f/2^3], Print[{n, f/2^3}]], {n, 1, 1231}]

PROG

(PARI) select(n->isprime((3^n + 5^n)/8), vector(2000, i, i)) \\ Charles R Greathouse IV, Feb 13 2011

CROSSREFS

Cf. A074606, A081186, A121824, A121877, A005058, A005059, A121938, A109347, A079773.

Sequence in context: A087126 A062547 A125739 * A137258 A053341 A086086

Adjacent sequences:  A122850 A122851 A122852 * A122854 A122855 A122856

KEYWORD

more,nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Sep 14 2006

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Last modified February 13 19:54 EST 2012. Contains 205536 sequences.