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 A107136 Primes of the form 3x^2 + 10y^2. 1

%I

%S 3,13,37,43,67,157,163,277,283,307,373,397,523,547,613,643,733,757,

%T 787,853,877,883,907,997,1093,1117,1123,1213,1237,1453,1483,1597,1627,

%U 1693,1723,1747,1867,1933,1987,2053,2083,2203,2293,2347,2437,2467

%N Primes of the form 3x^2 + 10y^2.

%H Vincenzo Librandi and Ray Chandler, <a href="/A107136/b107136.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)

%F The primes are congruent to {3, 13, 37, 43, 67} (mod 120). - _T. D. Noe_, May 02 2008

%t QuadPrimes2[3, 0, 10, 10000] (* see A106856 *)

%o (MAGMA) [ p: p in PrimesUpTo(3000) | p mod 120 in {3, 13, 37, 43, 67} ]; // _Vincenzo Librandi_, Jul 23 2012

%o (PARI) list(lim)=my(v=List([3]), s=[13, 37, 43, 67]); forprime(p=13, lim, if(setsearch(s, p%120), listput(v, p))); Vec(v) \\ _Charles R Greathouse IV_, Feb 09 2017

%Y Cf. A139827.

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 13 2005

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Last modified December 12 12:50 EST 2019. Contains 329958 sequences. (Running on oeis4.)