A139879 - OEIS

A139879

Primes of the form 12x^2+12xy+17y^2.

17, 41, 89, 257, 353, 521, 593, 761, 857, 881, 929, 1049, 1097, 1193, 1217, 1361, 1433, 1553, 1601, 1697, 1721, 1889, 2273, 2393, 2441, 2609, 2729, 2777, 2897, 3041, 3209, 3449, 3617, 3881, 4049, 4073, 4217, 4241, 4289, 4409, 4457, 4721

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OFFSET

1,1

COMMENTS

Discriminant=-672. See A139827 for more information.

Also primes of the forms 17x^2+10xy+41y^2 and 17x^2+4xy+20y^2. See A140633. - T. D. Noe, May 19 2008

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 {17, 41, 89} (mod 168).

MATHEMATICA

QuadPrimes2[12, -12, 17, 10000] (* see A106856 *)

PROG

(Magma) [ p: p in PrimesUpTo(6000) | p mod 168 in {17, 41, 89}]; // Vincenzo Librandi, Jul 30 2012

CROSSREFS

Sequence in context: A087877 A107181 A158014 * A281792 A293394 A070179

Adjacent sequences: A139876 A139877 A139878 * A139880 A139881 A139882

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, May 02 2008

EXTENSIONS

Corrected and extended b-file - Ray Chandler, Jul 31 2014

STATUS

approved