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

1,1

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.

Links

Table of n, a(n) for n=1..82.

Crossrefs

Cf. A033210.

Sequence in context: A335036 A307880 A155923 * A283135 A052491 A283294

Adjacent sequences: A248212 A248213 A248214 * A248216 A248217 A248218

Keyword

nonn

Author

Zak Seidov, Oct 04 2014

Status

approved