A106919 - OEIS

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A106919

Primes of the form 3x^2+xy+5y^2, with x and y any integer.

3, 5, 7, 19, 29, 41, 53, 79, 107, 127, 137, 167, 181, 193, 199, 239, 241, 251, 257, 263, 271, 277, 281, 293, 307, 311, 331, 359, 379, 433, 449, 487, 491, 499, 523, 557, 577, 593, 599, 607, 617, 619, 643, 647, 653, 661, 709, 757, 761, 829, 853, 877, 883, 907

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OFFSET

1,1

COMMENTS

Discriminant=-59.

Primes p such that the polynomial x^3-2x^2-1 is irreducible over Zp. The polynomial discriminant is also -59. - 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[3, 1, 5, 10000], QuadPrimes2[3, -1, 5, 10000]] (* see A106856 *)

CROSSREFS

Sequence in context: A184805 A079131 A179687 * A005850 A052334 A373292

Adjacent sequences: A106916 A106917 A106918 * A106920 A106921 A106922

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, May 09 2005

STATUS

approved