A139911 Primes of the form 13x^2+21y^2.

13, 73, 97, 229, 241, 349, 397, 409, 577, 661, 733, 769, 853, 1021, 1237, 1321, 1489, 1657, 1669, 1753, 1861, 2113, 2281, 2593, 2749, 2917, 2953, 3001, 3037, 3373, 3517, 3541, 3673, 3853, 4093, 4129, 4297, 4357, 4441, 4513, 4597, 4933, 5101

Offset

1,1

Comments

Discriminant=-1092. See A139827 for more information.

Links

Vincenzo Librandi and Ray Chandler, Table of n, a(n) for n = 1..10000 [First 1000 terms from Vincenzo Librandi]

N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

Formula

The primes are congruent to {13, 73, 97, 145, 229, 241, 265, 349, 397, 409, 565, 577, 661, 733, 769, 817, 853, 1021, 1081} (mod 1092).

Mathematica

QuadPrimes2[13, 0, 21, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 1092 in [13, 73, 97, 145, 229, 241, 265, 349, 397, 409, 565, 577, 661, 733, 769, 817, 853, 1021, 1081]]; // Vincenzo Librandi, Aug 01 2012

Crossrefs

Sequence in context: A322478 A107141 A139849 * A097460 A336796 A138353

Adjacent sequences: A139908 A139909 A139910 * A139912 A139913 A139914

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved