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Primes of form x^2+22*y^2.
2

%I #34 Aug 07 2014 09:37:34

%S 23,31,47,71,89,97,103,113,137,191,199,223,257,311,313,353,367,383,

%T 401,433,449,463,487,521,577,599,617,631,641,647,719,727,751,823,839,

%U 863,881,911,929,977,983,991,1039

%N Primes of form x^2+22*y^2.

%D David A. Cox, "Primes of the Form x^2 + n y^2", Wiley, 1989.

%H Vincenzo Librandi and Ray Chandler, <a href="/A033216/b033216.txt">Table of n, a(n) for n = 1..10000</a> [First 3000 terms from Vincenzo Librandi]

%H N. J. A. Sloane et al., <a href="https://oeis.org/wiki/Binary_Quadratic_Forms_and_OEIS">Binary Quadratic Forms and OEIS</a> (Index to related sequences, programs, references)

%F Primes congruent to {1, 9, 15, 23, 25, 31, 47, 49, 71, or 81} (mod 88). - _T. D. Noe_, Apr 29 2008 [See e.g. Cox, p. 36. - _N. J. A. Sloane_, May 27 2014]

%F a(n) ~ 4n log n. - _Charles R Greathouse IV_, Nov 09 2012

%t QuadPrimes2[1, 0, 22, 10000] (* see A106856 *)

%Y Cf. A139643.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_.