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A107212 Primes of the form 3x^2 + 32y^2. 2

%I #18 Feb 10 2017 16:19:59

%S 3,59,107,131,179,491,587,659,827,947,1019,1163,1187,1307,1451,1571,

%T 1619,1667,1811,1907,1931,2003,2099,2243,2411,2699,3011,3203,3299,

%U 3323,3347,3371,3779,3803,3923,3947,4019,4091,4139,4283,4451,4523

%N Primes of the form 3x^2 + 32y^2.

%C Discriminant = -384. See A107132 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A107212/b107212.txt">Table of n, a(n) for n = 1..10000</a> [First 1000 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)

%t QuadPrimes2[3, 0, 32, 10000] (* see A106856 *)

%o (PARI) list(lim)=my(v=List(),w,t); for(x=1, sqrtint(lim\3), w=3*x^2; for(y=0, sqrtint((lim-w)\32), if(isprime(t=w+32*y^2), listput(v,t)))); Set(v) \\ _Charles R Greathouse IV_, Feb 10 2017

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 13 2005

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Last modified April 23 01:19 EDT 2024. Contains 371906 sequences. (Running on oeis4.)