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A139920 Primes of the form 19x^2+18xy+19y^2. 2

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

%S 19,59,131,139,251,419,619,691,811,859,971,1091,1259,1291,1459,1531,

%T 1571,1699,1811,1931,1979,2099,2131,2371,2411,2539,2579,2659,2819,

%U 2939,2971,3251,3331,3491,3499,3659,3779,4051,4091,4219,4259,4339

%N Primes of the form 19x^2+18xy+19y^2.

%C Discriminant=-1120. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139920/b139920.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 {19, 59, 131, 139, 171, 251} (mod 280).

%t Union[QuadPrimes2[19, 18, 19, 10000], QuadPrimes2[19, -18, 19, 10000]] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(6000) | p mod 280 in [19, 59, 131, 139, 171, 251]]; // _Vincenzo Librandi_, Aug 01 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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Last modified September 17 08:52 EDT 2024. Contains 375987 sequences. (Running on oeis4.)