Centered heptagonal number
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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
- .
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]
Centered heptagonal prime
[edit | edit source]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, ...[2]
The centered heptagonal twin prime numbers are
- 43, 71, 197, 463, 1933, 5741, 8233, 9283, 11173, 14561, 34651, ...[3]
See also
[edit | edit source]- Regular heptagonal number.
References
[edit | edit source]- ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
