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A107208 Primes of the form 4x^2 + 23y^2. 2

%I #18 Feb 10 2017 15:51:44

%S 23,59,167,211,223,271,307,347,463,599,607,691,719,883,991,1151,1163,

%T 1231,1319,1451,1787,1867,1871,1879,2027,2143,2339,2347,2423,2539,

%U 2647,2707,2819,2879,2887,2927,2939,3019,3307,3343,3359,3463,3491

%N Primes of the form 4x^2 + 23y^2.

%C Discriminant = -368. See A107132 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A107208/b107208.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[4, 0, 23, 10000] (* see A106856 *)

%o (PARI) list(lim)=my(v=List(),w,t); for(x=0, sqrtint(lim\4), w=4*x^2; for(y=1, sqrtint((lim-w)\23), if(isprime(t=w+23*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 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)