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A140623 Primes of the form 35x^2+30xy+51y^2. 1

%I #20 Aug 05 2014 14:16:32

%S 131,179,251,419,491,659,971,1091,1499,1811,1979,2339,2531,2939,3251,

%T 3299,3371,3539,3779,3851,4091,4211,4931,5099,5171,5651,6491,6659,

%U 6899,6971,7019,7211,7331,8219,8291,9491,9539,9851,10091,10139,10331

%N Primes of the form 35x^2+30xy+51y^2.

%C Discriminant=-6240. Also primes of the form 36x^2+12xy+131y^2.

%C In base 12, the sequence is XE, 12E, 18E, 2XE, 34E, 46E, 68E, 76E, X4E, 106E, 118E, 142E, 156E, 184E, 1X6E, 1XXE, 1E4E, 206E, 222E, 228E, 244E, 252E, 2X2E, 2E4E, 2EXE, 332E, 390E, 3X2E, 3EXE, 404E, 408E, 420E, 42XE, 490E, 496E, 55XE, 562E, 584E, 5X0E, 5X4E, 5E8E, where X is 10 and E is 11. Moreover, the discriminant is -3740. - _Walter Kehowski_, Jun 01 2008

%H Vincenzo Librandi and Ray Chandler, <a href="/A140623/b140623.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)

%t Union[QuadPrimes2[35, 30, 51, 10000], QuadPrimes2[35, -30, 51, 10000]] (* see A106856 *)

%Y Cf. A140633.

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 19 2008

%E Corrected and extended b-file - _Ray Chandler_, Aug 02 2014

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Last modified September 15 23:52 EDT 2024. Contains 375959 sequences. (Running on oeis4.)