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A113536 Numbers k such that k^2 + 13 is prime. 13

%I #12 Mar 16 2017 04:00:40

%S 0,2,4,10,12,16,18,28,40,42,44,46,60,68,72,82,84,88,94,108,110,114,

%T 116,122,126,142,144,152,158,180,192,194,198,200,220,222,264,266,268,

%U 282,284,296,298,332,336,340,354,378,380,418,420,430,434,446,464,466,486

%N Numbers k such that k^2 + 13 is prime.

%H G. C. Greubel, <a href="/A113536/b113536.txt">Table of n, a(n) for n = 1..1000</a>

%e If n=40 then n^2 + 13 = 1613 (prime), so 40 is in the sequence.

%t With[{k=13}, Select[Range[1000], PrimeQ[ #^2+k]&]]

%o (PARI) is(n)=isprime(n^2+13) \\ _Charles R Greathouse IV_, Feb 17 2017

%Y Other cases: A005574 k=1, A067201 k=2, A049422 k=3, A007591 k=4, A078402 k=5, A114269-A114275 k=6-12.

%K nonn

%O 1,2

%A _Zak Seidov_, Jan 13 2006

%E Edited by _R. J. Mathar_, Aug 07 2008

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Last modified April 16 14:05 EDT 2024. Contains 371740 sequences. (Running on oeis4.)