Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #17 Sep 08 2022 08:45:34
%S 191,199,239,271,311,359,479,631,719,919,1031,1151,1279,1559,1759,
%T 1831,1871,1879,1999,2039,2239,2399,2551,2591,2671,2791,2999,3079,
%U 3391,3559,3671,3911,3919,4111,4159,4519,4679,4751,4759,4799,4831
%N Primes of the form 4x^2+4xy+191y^2.
%C Discriminant=-3040. See A139827 for more information.
%H 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 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, 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 QuadPrimes2[4, -4, 191, 10000] (* see A106856 *)
%o (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 nonn,easy
%O 1,1
%A _T. D. Noe_, May 02 2008