A264844 Centered 19-gonal (or nonadecagonal) primes.

191, 1483, 2281, 5701, 11971, 14821, 15581, 21433, 26183, 39521, 43283, 54151, 60041, 61561, 72733, 81283, 120233, 135661, 137941, 166783, 187531, 220933, 229711, 244721, 282683, 292601, 306091, 323381, 378101, 409033, 457711, 461891, 478801, 513533, 526871

Offset

1,1

Comments

Primes of the form (19*k^2 - 19*k + 2)/2.

Links

Robert Israel, Table of n, a(n) for n = 1..10000

OEIS Wiki, Figurate numbers

Eric Weisstein's World of Mathematics, Centered Polygonal Number

Eric Weisstein's World of Mathematics, Prime Number

Maple

select(isprime, [seq((19*k^2-19*k+2)/2, k=0..10^4)]); # Robert Israel, Jul 02 2024

Mathematica

Select[(19 #^2 - 19 # + 2)/2 &@ Range@ 250, PrimeQ] (* Michael De Vlieger, Nov 27 2015 *)

Prog

(PARI) for(n=1, 1e3, if(isprime(k=(19*n^2-19*n+2)/2), print1(k, ", "))) \\ Altug Alkan, Nov 26 2015

Crossrefs

Cf. A069132, A000040.

Sequence in context: A083980 A144327 A107955 * A061331 A177683 A209549

Adjacent sequences: A264841 A264842 A264843 * A264845 A264846 A264847

Keyword

nonn

Author

Ilya Gutkovskiy, Nov 26 2015

Status

approved