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Primes of form x^2+13*y^2 (mod 52).
0

%I #6 Oct 09 2014 16:48:36

%S 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,

%T 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,

%U 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

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

%C 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.

%Y Cf. A033210.

%K nonn

%O 1,1

%A _Zak Seidov_, Oct 04 2014

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