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A139939 Primes of the form 10x^2+10xy+37y^2. 1

%I #17 Sep 08 2022 08:45:34

%S 37,97,157,313,337,373,433,457,613,733,757,937,1033,1213,1597,1693,

%T 1753,1873,1993,2113,2137,2437,2593,2713,2797,2857,2917,3217,3253,

%U 3373,3457,3517,3697,3733,3793,4093,4177,4297,4357,4513,4597,4657

%N Primes of the form 10x^2+10xy+37y^2.

%C Discriminant=-1380. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139939/b139939.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 {37, 97, 157, 217, 313, 337, 373, 433, 457, 493, 517, 613, 697, 733, 757, 793, 937, 973, 1033, 1057, 1213, 1333} (mod 1380).

%t QuadPrimes2[10, -10, 37, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(6000) | p mod 1380 in [37, 97, 157, 217, 313, 337, 373, 433, 457, 493, 517, 613, 697, 733, 757, 793, 937, 973, 1033, 1057, 1213, 1333]]; // _Vincenzo Librandi_, Aug 02 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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Last modified June 12 04:45 EDT 2024. Contains 373321 sequences. (Running on oeis4.)