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%I #11 Mar 08 2023 13:19:37
%S 17,97,241,337,449,577,881,1249,3041,3361,3697,4049,4801,6961,7937,
%T 9521,10657,13121,14449,15137,16561,18049,23761,25537,26449,31249,
%U 32257,37537,39761,40897,46817,48049,49297,54449,58481,64081,65521,66977,68449,77617,79201
%N Centered 16-gonal (or hexadecagonal) primes.
%C Primes of the form 8*k^2 - 8*k + 1.
%H OEIS Wiki, <a href="https://oeis.org/wiki/Figurate_numbers">Figurate numbers</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/CenteredPolygonalNumber.html">Centered Polygonal Number</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PrimeNumber.html">Prime Number</a>
%t Select[Table[8k^2-8k+1,{k,0,100}],PrimeQ] (* _Harvey P. Dale_, Mar 08 2023 *)
%o (PARI) for(n=1, 1e3, if(isprime(k=8*n^2-8*n+1), print1(k,", "))) \\ _Altug Alkan_, Nov 26 2015
%Y Cf. A069129, A000040.
%K nonn
%O 1,1
%A _Ilya Gutkovskiy_, Nov 26 2015