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Numbers k such that k^2 + 12 is prime.
17

%I #11 Mar 16 2017 04:08:39

%S 1,5,7,13,19,23,29,35,37,41,43,47,55,61,85,89,91,97,113,119,121,127,

%T 139,161,167,169,175,187,191,197,203,211,215,223,229,245,265,271,295,

%U 299,307,317,335,341,355,371,379,383,401,419,427,455,463,475,491,517,527

%N Numbers k such that k^2 + 12 is prime.

%H Harvey P. Dale, <a href="/A114275/b114275.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Range[1,611,2],PrimeQ[#^2+12]&] (* _Harvey P. Dale_, Mar 30 2015 *)

%o (PARI) is(n)=isprime(n^2+12) \\ _Charles R Greathouse IV_, Jan 21 2015

%Y Other sequences of the type "Numbers k such that k^2 + i is prime": A005574 (i=1), A067201 (i=2), A049422 (i=3), A007591 (i=4), A078402 (i=5), A114269 (i=6), A114270 (i=7), A114271 (i=8), A114272 (i=9), A114273 (i=10), A114274 (i=11), this sequence (i=12).

%K nonn

%O 1,2

%A _Zak Seidov_, Nov 19 2005