cp's OEIS Frontend

A139983 Primes of the form 29x^2+18xy+29y^2.

%I A139983 #17 Sep 08 2022 08:45:34
%S A139983 29,109,181,269,421,509,661,829,941,1021,1181,1229,1381,1549,1709,
%T A139983 1741,1789,1861,2029,2141,2269,2309,2389,2549,2621,2749,2789,2909,
%U A139983 3061,3109,3181,3221,3229,3301,3461,3701,3821,3989,4021,4421,4549
%N A139983 Primes of the form 29x^2+18xy+29y^2.
%C A139983 Discriminant=-3040. See A139827 for more information.
%H A139983 Vincenzo Librandi and Ray Chandler, <a href="/A139983/b139983.txt">Table of n, a(n) for n = 1..10000</a> [First 1000 terms from Vincenzo Librandi]
%H A139983 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 A139983 The primes are congruent to {21, 29, 69, 109, 141, 181, 189, 221, 261, 269, 341, 421, 469, 509, 621, 629, 661, 749, 781, 789, 829, 869, 901, 941, 949, 981, 1021, 1029, 1101, 1181, 1229, 1269, 1381, 1389, 1421, 1509, 1541, 1549, 1589, 1629, 1661, 1701, 1709, 1741, 1781, 1789, 1861, 1941, 1989, 2029, 2141, 2149, 2181, 2269, 2301, 2309, 2349, 2389, 2421, 2461, 2469, 2501, 2541, 2549, 2621, 2701, 2749, 2789, 2901, 2909, 2941, 3029} (mod 3040).
%t A139983 Union[QuadPrimes2[29, 18, 29, 10000], QuadPrimes2[29, -18, 29, 10000]] (* see A106856 *)
%o A139983 (Magma) [p: p in PrimesUpTo(6000) | p mod 3040 in [21, 29, 69, 109, 141, 181, 189, 221, 261, 269, 341, 421, 469, 509, 621, 629, 661, 749, 781, 789, 829, 869, 901, 941, 949, 981, 1021, 1029, 1101, 1181, 1229, 1269, 1381, 1389, 1421, 1509, 1541, 1549, 1589, 1629, 1661, 1701, 1709, 1741, 1781, 1789, 1861, 1941, 1989, 2029, 2141, 2149, 2181, 2269, 2301, 2309, 2349, 2389, 2421, 2461, 2469, 2501, 2541, 2549, 2621, 2701, 2749, 2789, 2901, 2909, 2941, 3029]]; // _Vincenzo Librandi_, Aug 03 2012
%K A139983 nonn,easy
%O A139983 1,1
%A A139983 _T. D. Noe_, May 02 2008