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

%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

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Last modified April 16 08:27 EDT 2024. Contains 371698 sequences. (Running on oeis4.)