A262344 Centered 11-gonal (or hendecagonal) primes.

67, 397, 727, 859, 1321, 2311, 3037, 3301, 4159, 8581, 10891, 12409, 19471, 28909, 47059, 51217, 63559, 64747, 78541, 79861, 95107, 100981, 108571, 119659, 134707, 139921, 156157, 177211, 195427, 203809, 221101, 257797, 264991, 284659, 287167, 294757, 307627, 315481

Offset: 1

Author

Ilya Gutkovskiy, Nov 26 2015

Keywords

• nonn

Comments

Primes of the form (11*k^2 - 11*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

Crossrefs

Intersection of A069125 and A000040.

Programs

Maple

select(isprime, [(11*k^2-11*k+2)/2$k=1..300])[];  # Alois P. Heinz, May 27 2022

PARI

for(n=1, 1e3, if(isprime(k=(11*n^2-11*n+2)/2), print1(k,", "))) \\ Altug Alkan, Nov 26 2015

Extensions

a(15)=47059 inserted by Georg Fischer, May 27 2022