A106954 Primes of the form 4x^2+2xy+5y^2, with x and y any integer.

5, 7, 11, 17, 43, 47, 61, 73, 131, 137, 139, 149, 191, 199, 229, 233, 239, 251, 263, 277, 283, 311, 347, 349, 359, 389, 397, 443, 457, 461, 463, 467, 499, 541, 557, 577, 587, 613, 617, 631, 643, 647, 653, 691, 719, 727, 739, 757, 761, 769, 809, 821, 823

Offset

1,1

Comments

Discriminant=-76.

Primes p such that the polynomial x^3-2x-2 is irreducible over Zp. The polynomial discriminant is also -76. - T. D. Noe, May 13 2005

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)

Mathematica

Union[QuadPrimes2[4, 2, 5, 10000], QuadPrimes2[4, -2, 5, 10000]] (* see A106856 *)

Crossrefs

Sequence in context: A023241 A174357 A134572 * A027755 A260828 A280651

Adjacent sequences: A106951 A106952 A106953 * A106955 A106956 A106957

Keyword

nonn,easy

Author

T. D. Noe, May 09 2005

Status

approved