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A140020 Primes of the form 13x^2+105y^2. 1

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

%S 13,157,313,433,937,997,1153,1693,1777,1993,2617,2677,2833,3253,3433,

%T 3457,3793,3877,4177,4273,5113,5197,5437,5953,6373,6397,6733,7237,

%U 7297,7537,8293,8713,8893,9337,9733,10477,10513,10657,11353,11437

%N Primes of the form 13x^2+105y^2.

%C Discriminant=-5460. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A140020/b140020.txt">Table of n, a(n) for n = 1..10000</a> [First 1556 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 {13, 157, 313, 433, 493, 517, 913, 937, 997, 1153, 1273, 1693, 1777, 1837, 1993, 2077, 2497, 2617, 2677, 2833, 3013, 3097, 3253, 3337, 3433, 3457, 3793, 3877, 4177, 4213, 4273, 5017, 5053, 5113, 5197, 5353, 5437} (mod 5460).

%t QuadPrimes2[13, 0, 105, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(13000) | p mod 5460 in {13, 157, 313, 433, 493, 517, 913, 937, 997, 1153, 1273, 1693, 1777, 1837, 1993, 2077, 2497, 2617, 2677, 2833, 3013, 3097, 3253, 3337, 3433, 3457, 3793, 3877, 4177, 4213, 4273, 5017, 5053, 5113, 5197, 5353, 5437} ]; // _Vincenzo Librandi_, Aug 05 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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Last modified April 19 13:40 EDT 2024. Contains 371792 sequences. (Running on oeis4.)