login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A262493
Centered 13-gonal (or tridecagonal) primes.
2
79, 131, 859, 2731, 5279, 6449, 8191, 10141, 15289, 17239, 20021, 20749, 23011, 26209, 38039, 41081, 45319, 46411, 50909, 54419, 59281, 65651, 70981, 76519, 80809, 86711, 92821, 99139, 126491, 128311, 135721, 159199, 167441, 175891, 200201, 209431, 221261, 230959
OFFSET
1,1
COMMENTS
Primes of the form (13*k^2 - 13*k + 2)/2.
LINKS
OEIS Wiki, Figurate numbers
Eric Weisstein's World of Mathematics, Centered Polygonal Number
Eric Weisstein's World of Mathematics, Prime Number
MATHEMATICA
Select[Table[(13k^2-13k+2)/2, {k, 200}], PrimeQ] (* Harvey P. Dale, Jun 16 2023 *)
PROG
(PARI) for(n=1, 1e3, if(isprime(k=(13*n^2-13*n+2)/2), print1(k, ", "))) \\ Altug Alkan, Nov 26 2015
CROSSREFS
Sequence in context: A135985 A142520 A140743 * A349234 A141997 A107184
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Nov 26 2015
STATUS
approved