A276262 Centered 22-gonal primes.

23, 67, 331, 463, 617, 991, 1453, 2003, 2311, 4621, 6073, 7151, 7723, 8317, 8933, 11617, 12343, 14653, 15467, 18041, 19867, 25873, 26951, 28051, 29173, 37643, 41603, 42967, 51613, 61051, 62701, 64373, 66067, 67783, 73063, 78541, 94117, 102433, 117833, 120121, 131891, 136753

Offset

1,1

Comments

Primes of the form 11*k^2 + 11*k + 1.

Numbers k such that 11*k^2 + 11*k + 1 is prime: 1, 2, 5, 6, 7, 9, 11, 13, 14, 20, 23, 25, 26, 27, 28, 32, 33, 36, 37, 40, 42, 48, 49, 50, 51, ...

Links

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

OEIS Wiki, Centered polygonal numbers

Eric Weisstein's World of Mathematics, Centered Polygonal Number

Index entries for sequences related to centered polygonal numbers

Maple

select(isprime, [seq(11*k^2+11*k+1, k=1..1000)]);

Mathematica

Intersection[Table[11 k^2 + 11 k + 1, {k, 0, 1000}], Prime[Range[13000]]]
Select[Table[11n^2+11n+1, {n, 150}], PrimeQ] (* Harvey P. Dale, Nov 22 2023 *)

Prog

(PARI) lista(nn) = for(n=1, nn, if(isprime(p=11*n^2 + 11*n + 1), print1(p, ", "))); \\ Altug Alkan, Aug 26 2016
(Magma) [k: n in [1..120] | IsPrime(k) where k is 11*n^2-11*n+1]; // Vincenzo Librandi, Aug 29 2016

Crossrefs

Cf. A000040, A069173.

Cf. centered k-gonal primes listed in A276261.

Sequence in context: A126377 A136064 A142302 * A078622 A280376 A134428

Adjacent sequences: A276259 A276260 A276261 * A276263 A276264 A276265

Keyword

nonn

Author

Ilya Gutkovskiy, Aug 26 2016

Status

approved