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A139942 Primes of the form 2x^2+2xy+179y^2. 2

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

%S 2,179,191,239,263,359,443,491,599,659,863,1019,1103,1283,1583,1607,

%T 1619,1667,1787,1871,2027,2039,2087,2423,2447,2531,2699,2711,2843,

%U 3011,3119,3299,3347,3467,3623,3719,3851,4127,4139,4271,4463,4523

%N Primes of the form 2x^2+2xy+179y^2.

%C Discriminant=-1428. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139942/b139942.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 {2, 155, 179, 191, 239, 263, 359, 407, 443, 491, 599, 611, 659, 695, 767, 851, 863, 995, 1019, 1079, 1103, 1199, 1271, 1283, 1415} (mod 1428).

%t QuadPrimes2[2, -2, 179, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(6000) | p mod 1428 in [2, 155, 179, 191, 239, 263, 359, 407, 443, 491, 599, 611, 659, 695, 767, 851, 863, 995, 1019, 1079, 1103, 1199, 1271, 1283, 1415]]; // _Vincenzo Librandi_, Aug 02 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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Last modified May 6 06:36 EDT 2024. Contains 372290 sequences. (Running on oeis4.)