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A139923 Primes of the form 8x^2+39y^2. 2

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

%S 47,71,167,239,359,383,431,479,743,839,863,983,1103,1151,1319,1367,

%T 1487,1607,2039,2087,2111,2351,2399,2423,2543,2663,2711,2879,2927,

%U 3023,3167,3191,3359,3671,3863,3911,4127,4271,4583,4751,4799,4919

%N Primes of the form 8x^2+39y^2.

%C Discriminant=-1248. See A139827 for more information.

%C Also primes of the form 15x^2+12xy+44y^2. See A140633. - _T. D. Noe_, May 19 2008

%H Vincenzo Librandi and Ray Chandler, <a href="/A139923/b139923.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 {47, 71, 119, 167, 215, 239} (mod 312).

%t QuadPrimes2[8, 0, 39, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(6000) | p mod 312 in [47, 71, 119, 167, 215, 239]]; // _Vincenzo Librandi_, Aug 01 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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Last modified May 5 03:37 EDT 2024. Contains 372257 sequences. (Running on oeis4.)