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A033220 Primes of form x^2+30*y^2. 2

%I #28 Sep 08 2022 08:44:51

%S 31,79,151,199,241,271,409,439,601,631,751,769,919,991,1009,1039,1129,

%T 1201,1231,1249,1279,1321,1399,1471,1489,1609,1759,1801,1831,1879,

%U 1951,1999,2089,2161,2239,2281

%N Primes of form x^2+30*y^2.

%D David A. Cox, "Primes of the Form x^2 + n y^2", Wiley, 1989.

%H Vincenzo Librandi and Ray Chandler, <a href="/A033220/b033220.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 Equivalently, primes congruent to {1, 31, 49, or 79} (mod 120) - _T. D. Noe_, Apr 29 2008. [See e.g. Cox, p. 36. - _N. J. A. Sloane_, May 27 2014]

%F a(n) ~ 8n log n. - _Charles R Greathouse IV_, Nov 09 2012

%t QuadPrimes2[1, 0, 30, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(3000) | p mod 120 in {1, 31, 49, 79} ]; // _Vincenzo Librandi_, Jul 20 2012

%o (PARI) select(n->vecsearch([1,31,49,79],n%120), primes(400)) \\ _Charles R Greathouse IV_, Nov 09 2012

%Y Cf. A139643.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_.

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