A139932 Primes of the form 10x^2+33y^2.

43, 73, 193, 283, 307, 337, 457, 523, 547, 673, 787, 937, 1033, 1297, 1627, 1657, 1723, 1777, 1867, 1987, 1993, 2593, 2617, 2683, 2713, 2833, 2857, 3163, 3187, 3307, 3313, 3643, 3673, 3907, 4003, 4153, 4177, 4243, 4297, 4363, 4483, 4507

Offset

1,1

Comments

Discriminant=-1320. 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 {43, 73, 193, 217, 283, 307, 337, 403, 457, 523, 547, 667, 673, 787, 937, 1003, 1033, 1267, 1273, 1297} (mod 1320).

Mathematica

QuadPrimes2[10, 0, 33, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 1320 in [43, 73, 193, 217, 283, 307, 337, 403, 457, 523, 547, 667, 673, 787, 937, 1003, 1033, 1267, 1273, 1297]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A087699 A054807 A285017 * A290635 A176925 A080177

Adjacent sequences: A139929 A139930 A139931 * A139933 A139934 A139935

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved