A276263 Centered 23-gonal primes.

139, 829, 4831, 15319, 36709, 53959, 58789, 65551, 74521, 107089, 142969, 198859, 227011, 278071, 292561, 727399, 750721, 804541, 879199, 957169, 1181281, 1325491, 1364821, 1519519, 1700161, 1835401, 1881631, 2111539, 2231461, 2396509, 2778079, 2926981, 3067879

Offset: 1

Author

Ilya Gutkovskiy, Aug 26 2016

Keywords

• nonn

Comments

Primes of the form (23*k^2 + 23*k + 2)/2.

Numbers k such that (23*k^2 + 23*k + 2)/2 is prime: 3, 8, 20, 36, 56, 68, 71, 75, 80, 96, 111, 131, 140, 155, 159, 251, 255, 264, 276, ...

Links

• OEIS Wiki, Centered polygonal numbers
• Eric Weisstein's World of Mathematics, Centered Polygonal Number
• Index entries for sequences related to centered polygonal numbers

Crossrefs

Cf. A000040, A069174.

Cf. centered k-gonal primes listed in A276261.

Programs

Mathematica

Intersection[Table[(23 k^2 + 23 k + 2)/2, {k, 0, 1000}], Prime[Range[230000]]]
Select[Table[(23k^2+23k+2)/2,{k,600}],PrimeQ] (* Harvey P. Dale, Jun 17 2021 *)

PARI

lista(nn) = for(n=1, nn, if(isprime(p=(23*n^2 + 23*n + 2)/2), print1(p, ", "))); \\ Altug Alkan, Aug 26 2016