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A139964 Primes of the form 3x^2+154y^2. 1

%I #16 Sep 08 2022 08:45:34

%S 3,157,181,229,397,619,643,661,691,829,859,1021,1123,1237,1291,1483,

%T 1699,1741,2029,2203,2341,2467,2539,2677,2707,2803,2971,3037,3331,

%U 3499,3547,3853,3877,4051,4093,4261,4339,4357,4651,4723,4933,4987

%N Primes of the form 3x^2+154y^2.

%C Discriminant=-1848. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139964/b139964.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 {3, 115, 157, 181, 229, 355, 397, 493, 565, 619, 643, 661, 685, 691, 829, 859, 955, 1021, 1027, 1123, 1147, 1189, 1237, 1291, 1357, 1483, 1501, 1651, 1699, 1741, 1819} (mod 1848).

%t QuadPrimes2[3, 0, 154, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(5000) | p mod 1848 in [3, 115, 157, 181, 229, 355, 397, 493, 565, 619, 643, 661, 685, 691, 829, 859, 955, 1021, 1027, 1123, 1147, 1189, 1237, 1291, 1357, 1483, 1501, 1651, 1699, 1741, 1819]]; // _Vincenzo Librandi_, Aug 02 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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