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Primes of the form 4x^2+4xy+71y^2.
2

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

%S 71,79,151,191,239,359,431,599,631,751,911,919,991,1031,1439,1471,

%T 1759,1831,1871,1999,2039,2111,2311,2591,2671,2711,2879,3119,3271,

%U 3319,3511,3719,4111,4159,4271,4391,4519,4799,4831,4951,4999,5119

%N Primes of the form 4x^2+4xy+71y^2.

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

%H Vincenzo Librandi and Ray Chandler, <a href="/A139914/b139914.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 {39, 71, 79, 151, 191, 239} (mod 280).

%t QuadPrimes2[4, -4, 71, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(6000) | p mod 280 in [39, 71, 79, 151, 191, 239]]; // _Vincenzo Librandi_, Aug 01 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008