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A107176 Primes of the form x^2 + 68y^2. 2

%I #19 Feb 10 2017 11:59:03

%S 149,281,293,353,509,613,661,733,797,1097,1237,1361,1453,1709,2141,

%T 2293,2297,2473,2609,2617,2789,3221,3413,3557,3637,3673,4093,4129,

%U 4241,4297,4337,4421,4657,4793,5081,5101,5441,5557,5653,5669,5693

%N Primes of the form x^2 + 68y^2.

%C Discriminant = -272. See A107132 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A107176/b107176.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[1, 0, 68, 10000] (* see A106856 *)

%o (PARI) list(lim)=my(v=List(),w,t); for(x=1, sqrtint(lim\1), w=x^2; for(y=1, sqrtint((lim-w)\68), if(isprime(t=w+68*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 August 13 12:37 EDT 2024. Contains 375141 sequences. (Running on oeis4.)