A221794 Number of primes of the form (x+1)^3 - x^3 with x <= 10^n.

1, 7, 42, 263, 1965, 15282, 126826

Offset: 0

Author

Vladimir Pletser, Jan 25 2013

Keywords

• nonn

Comments

Cuban primes are primes that are the difference of two consecutive cubes, p = (x+1)^3 - x^3 (A002407). They are also primes of the form 3k(k+1) + 1, where values for k+1 are in A002504.

Links

• Ed Pegg, Jr., MathWorld: Cuban Prime
• Wikipedia, Cuban prime

Crossrefs

Cf. A002407, A002504, A003215, A113478 (number of cuban primes < 10^n).