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%I #12 Jun 25 2026 11:59:03
%S 4133,14723,38561,457553,708011,2086433,2314811,3749861,4881707,
%T 5310533,10559027,12120611,15756683,21385733,29991761,37020833,
%U 84943493,151818923,163059683,181076933,187401947,268451333,276939011,322435361
%N Primes of the form 1 + (k+2)^2 + (k+4)^4, k>=0.
%C These are created by k=4, 7, 10, 22, 25, 34, 35, 40, 43, 44, 53, 55, 59, 64, 70, 74, 92, 107, 109, 112, 113, 124, 125, 130, 140, 143, 152, 164, 167, 169,...
%C Primes created by the negative n= -1, -2, -3, -4, -5, -7, -8, -10 etc. are not included. - _R. J. Mathar_, Jun 26 2009
%t f[n_]:=n^0+(n+2)^2+(n+4)^4; lst={};Do[If[PrimeQ[f[n]],AppendTo[lst,f[n]]], {n,6!}];lst
%t Select[Table[261+260 n+97 n^2+16 n^3+n^4,{n,200}],PrimeQ] (* _Harvey P. Dale_, Jun 10 2026 *)
%K nonn,changed
%O 1,1
%A _Vladimir Joseph Stephan Orlovsky_, Jun 24 2009