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A122853 Numbers n such that (3^n + 5^n)/8 = A074606[n]/8 is a prime. +0
31
3, 5, 7, 17, 19, 109, 509, 661, 709, 1231 (list; graph; listen)
OFFSET

1,1

COMMENT

All a(n) are primes. (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)] = {19,421,10039,95383574161,2384331073699,1925929944387235853055979210606894889560480247048440342330377620014353281101,...}.

MATHEMATICA

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

CROSSREFS

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

Sequence in context: A087126 A062547 A125739 this_sequence A137258 A053341 A086086

Adjacent sequences: A122850 A122851 A122852 this_sequence A122854 A122855 A122856

KEYWORD

more,nonn

AUTHOR

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

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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