A139888 Primes of the form 3x^2+70y^2.

3, 73, 97, 283, 307, 313, 433, 523, 577, 643, 787, 937, 1123, 1153, 1483, 1627, 1657, 1753, 1777, 1867, 1987, 1993, 2113, 2203, 2467, 2593, 2617, 2707, 2803, 2833, 2953, 3163, 3307, 3433, 3457, 3547, 3643, 3673, 3793, 4003, 4177, 4273, 4297

Offset

1,1

Comments

Discriminant=-840. 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 {3, 73, 97, 187, 283, 307, 313, 433, 523, 577, 643, 787, 817} (mod 840).

Mathematica

QuadPrimes2[3, 0, 70, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(5000) | p mod 840 in {3, 73, 97, 187, 283, 307, 313, 433, 523, 577, 643, 787, 817}]; // Vincenzo Librandi, Jul 30 2012

Crossrefs

Sequence in context: A307925 A006270 A248042 * A271628 A079594 A089922

Adjacent sequences: A139885 A139886 A139887 * A139889 A139890 A139891

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved