Acentered heptagonal number is acenteredfigurate number that represents aheptagon with a dot in the center and all other dots surrounding the center dot in successive heptagonal layers. The centered heptagonal number forn is given by the formula

$\frac{{\displaystyle 7n^2-7n+2}}{2}$.

The first few centered heptagonal numbers are

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

Acentered heptagonal prime is a centered heptagonal number that isprime. The first few centered heptagonal primes are

43, 71, 197, 463, 547, 953, 1471, 1933, 2647, 2843, 3697, ...^[2]

The centered heptagonaltwin prime numbers are

43, 71, 197, 463, 1933, 5741, 8233, 9283, 11173, 14561, 34651, ...^[3]

• Regularheptagonal number.

• Figurate numbers

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