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Primes of the form 4x^2+4xy+61y^2.
1

%I #18 Sep 08 2022 08:45:34

%S 61,109,181,229,349,421,541,661,709,829,1021,1069,1381,1429,1549,1621,

%T 1669,1741,1789,1861,2029,2221,2269,2341,2389,2749,3061,3109,3181,

%U 3229,3301,3469,3541,3709,4021,4261,4549,4621,4789,4861,4909,5101

%N Primes of the form 4x^2+4xy+61y^2.

%C Discriminant=-960. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139898/b139898.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 {61, 109} (mod 120).

%t QuadPrimes2[4, -4, 61, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(6000) | p mod 120 in [61, 109]]; // _Vincenzo Librandi_, Jul 31 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008