Centered heptagonal number



A centered heptagonal number is a centered figurate number that represents a heptagon with a dot in the center and all other dots surrounding the center dot in successive heptagonal layers. The centered heptagonal number for n is given by the formula


 * $${7n^2 - 7n + 2}\over2$$.

The first few centered heptagonal numbers are

1, 8, 22, 43, 71, 106, 148, 197, 253, 316, 386, 463, 547, 638, 736, 841, 953

Centered heptagonal prime
A centered heptagonal prime is a centered heptagonal number that is prime. The first few centered heptagonal primes are
 * 43, 71, 197, 463, 547, 953, 1471, 1933, 2647, 2843, 3697, ...

The centered heptagonal twin prime numbers are
 * 43, 71, 197, 463, 1933, 5741, 8233, 9283, 11173, 14561, 34651, ...