cp's OEIS Frontend

A139977 Primes of the form 4x^2+4xy+191y^2.

%I A139977 #17 Sep 08 2022 08:45:34
%S A139977 191,199,239,271,311,359,479,631,719,919,1031,1151,1279,1559,1759,
%T A139977 1831,1871,1879,1999,2039,2239,2399,2551,2591,2671,2791,2999,3079,
%U A139977 3391,3559,3671,3911,3919,4111,4159,4519,4679,4751,4759,4799,4831
%N A139977 Primes of the form 4x^2+4xy+191y^2.
%C A139977 Discriminant=-3040. See A139827 for more information.
%H A139977 Vincenzo Librandi and Ray Chandler, <a href="/A139977/b139977.txt">Table of n, a(n) for n = 1..10000</a> [First 1000 terms from Vincenzo Librandi]
%H A139977 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 A139977 The primes are congruent to {39, 111, 119, 159, 191, 199, 239, 271, 311, 351, 359, 391, 479, 511, 519, 631, 671, 719, 799, 871, 879, 919, 951, 959, 999, 1031, 1071, 1111, 1119, 1151, 1239, 1271, 1279, 1391, 1431, 1479, 1559, 1631, 1639, 1679, 1711, 1719, 1759, 1791, 1831, 1871, 1879, 1911, 1999, 2031, 2039, 2151, 2191, 2239, 2319, 2391, 2399, 2439, 2471, 2479, 2519, 2551, 2591, 2631, 2639, 2671, 2759, 2791, 2799, 2911, 2951, 2999} (mod 3040).
%t A139977 QuadPrimes2[4, -4, 191, 10000] (* see A106856 *)
%o A139977 (Magma) [p: p in PrimesUpTo(6000) | p mod 3040 in [39, 111, 119, 159, 191, 199, 239, 271, 311, 351, 359, 391, 479, 511, 519, 631, 671, 719, 799, 871, 879, 919, 951, 959, 999, 1031, 1071, 1111, 1119, 1151, 1239, 1271, 1279, 1391, 1431, 1479, 1559, 1631, 1639, 1679, 1711, 1719, 1759, 1791, 1831, 1871, 1879, 1911, 1999, 2031, 2039, 2151, 2191, 2239, 2319, 2391, 2399, 2439, 2471, 2479, 2519, 2551, 2591, 2631, 2639, 2671, 2759, 2791, 2799, 2911, 2951, 2999]]; // _Vincenzo Librandi_, Aug 03 2012
%K A139977 nonn,easy
%O A139977 1,1
%A A139977 _T. D. Noe_, May 02 2008