A264823 Centered 16-gonal (or hexadecagonal) primes.

17, 97, 241, 337, 449, 577, 881, 1249, 3041, 3361, 3697, 4049, 4801, 6961, 7937, 9521, 10657, 13121, 14449, 15137, 16561, 18049, 23761, 25537, 26449, 31249, 32257, 37537, 39761, 40897, 46817, 48049, 49297, 54449, 58481, 64081, 65521, 66977, 68449, 77617, 79201

Offset

1,1

Comments

Primes of the form 8*k^2 - 8*k + 1.

Links

Table of n, a(n) for n=1..41.

OEIS Wiki, Figurate numbers

Eric Weisstein's World of Mathematics, Centered Polygonal Number

Eric Weisstein's World of Mathematics, Prime Number

Mathematica

Select[Table[8k^2-8k+1, {k, 0, 100}], PrimeQ] (* Harvey P. Dale, Mar 08 2023 *)

Prog

(PARI) for(n=1, 1e3, if(isprime(k=8*n^2-8*n+1), print1(k, ", "))) \\ Altug Alkan, Nov 26 2015

Crossrefs

Cf. A069129, A000040.

Sequence in context: A070186 A142189 A325068 * A081593 A078901 A078902

Adjacent sequences: A264820 A264821 A264822 * A264824 A264825 A264826

Keyword

nonn

Author

Ilya Gutkovskiy, Nov 26 2015

Status

approved