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%I #23 Sep 17 2024 15:16:08
%S 1,7,11,13,23,25,29,35,41,49,61,71,77,101,103,113,115,131,133,145,155,
%T 157,169,173,197,217,221,223,241,245,257,259,275,283,295,301,305,313,
%U 325,331,335,337,347,349,361,367,373,389,397,403,407,409,419,433,439
%N Numbers k such that 23*k^2 + 36 is prime.
%H Harvey P. Dale, <a href="/A110966/b110966.txt">Table of n, a(n) for n = 1..1000</a>
%H Emre Alkan, Alexandru Zaharescu, <a href="https://doi.org/10.1142/S1793042105000029">Nonvanishing of the Ramanujan tau function in short intervals</a>, International Journal of Number Theory, Vol. 1, No. 1 (2005) 45-51.
%e 23*101^2 + 36 = 234659 (prime).
%t Select[Range[1,501,2],PrimeQ[23#^2+36]&] (* _Harvey P. Dale_, Sep 01 2024 *)
%o (Magma) [ n: n in [0..1500] | IsPrime( 23*n^2 + 36) ]; // _Vincenzo Librandi_, Jan 31 2011
%o (PARI) is(n)=isprime(23*n^2+36) \\ _Charles R Greathouse IV_, Jun 13 2017
%K nonn,easy
%O 1,2
%A _Parthasarathy Nambi_, Sep 26 2005
%E Edited by _Don Reble_, Nov 08 2005