A248215 Primes of form x^2+13*y^2 (mod 52).

13, 17, 29, 1, 9, 49, 9, 1, 17, 25, 25, 49, 9, 17, 1, 25, 9, 25, 17, 1, 49, 29, 17, 29, 49, 1, 25, 29, 17, 29, 49, 25, 49, 1, 17, 9, 25, 9, 29, 1, 17, 25, 9, 49, 17, 1, 29, 49, 1, 9, 29, 25, 29, 49, 25, 49, 1, 9, 25, 29, 17, 25, 9, 1, 17, 29, 9, 25, 49, 17, 1, 25, 1, 9, 49, 9, 29, 29, 1, 9, 1, 17

Offset: 1

Author

Zak Seidov, Oct 04 2014

Keywords

• nonn

Comments

Primes of form x^2+13*y^2 are congruent to {1, 9, 13, 17, 25, 29, or 49} (mod 52). Among first 10000 such primes (A033210), the corresponding frequences are: 1664, 1665, 1, 1667, 1661, 1666, 1676 - remarkably uniform distribution except for prime 13.

Crossrefs

Cf. A033210.