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A125957 Numbers n such that (2^n + 11^n)/13 is prime. +0
2
3, 5, 17, 67, 83, 101, 1373, 6101 (list; graph; listen)
OFFSET

1,1

COMMENT

All terms are primes. Corresponding primes of the form (2^n + 11^n)/13 are {103, 12391, 38880540653801911, ...}.

MATHEMATICA

Do[p=Prime[n]; f=(2^p+11^p)/13; If[PrimeQ[f], Print[{p, f}]], {n, 1, 100}]

CROSSREFS

Cf. A000978 = numbers n such that (2^n + 1)/3 is prime. Cf. A057469 = numbers n such that (2^n + 3^n)/5 is prime. Cf. A082387 = numbers n such that (2^n + 5^n)/7 is prime.

Sequence in context: A049540 A097144 A085749 this_sequence A137460 A102295 A102846

Adjacent sequences: A125954 A125955 A125956 this_sequence A125958 A125959 A125960

KEYWORD

hard,more,nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Feb 06 2007

EXTENSIONS

2 more terms from Ryan Propper (rpropper(AT)cs.stanford.edu), Feb 09 2008

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


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