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 A139909 Primes of the form 6x^2+6xy+47y^2. 1

%I #17 Sep 08 2022 08:45:34

%S 47,59,83,167,227,383,479,587,839,983,1151,1259,1307,1319,1487,1571,

%T 1931,2099,2243,2267,2351,2399,2411,2579,2663,2819,3023,3083,3167,

%U 3191,3323,3359,3491,3659,3671,3863,3911,3947,4259,4283,4451,4583

%N Primes of the form 6x^2+6xy+47y^2.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139909/b139909.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 {47, 59, 83, 167, 215, 227, 383, 395, 479, 551, 587, 635, 671, 839, 899, 983, 1007, 1055} (mod 1092).

%t QuadPrimes2[6, -6, 47, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(5000) | p mod 1092 in {47, 59, 83, 167, 215, 227, 383, 395, 479, 551, 587, 635, 671, 839, 899, 983, 1007, 1055}]; // _Vincenzo Librandi_, Jul 31 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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Last modified August 11 11:53 EDT 2024. Contains 375069 sequences. (Running on oeis4.)