A139919 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A139919

Primes of the form 17x^2+6xy+17y^2.

17, 73, 97, 257, 313, 353, 433, 577, 593, 857, 937, 1097, 1153, 1193, 1217, 1433, 1553, 1657, 1697, 1753, 1777, 1993, 2113, 2273, 2393, 2593, 2617, 2777, 2833, 2897, 2953, 3433, 3457, 3617, 3673, 3793, 4073, 4177, 4217, 4273, 4297, 4457

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Discriminant=-1120. 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 {17, 33, 73, 97, 153, 257} (mod 280).

MATHEMATICA

Union[QuadPrimes2[17, 6, 17, 10000], QuadPrimes2[17, -6, 17, 10000]] (* see A106856 *)

PROG

(Magma) [ p: p in PrimesUpTo(6000) | p mod 280 in [17, 33, 73, 97, 153, 257]]; // Vincenzo Librandi, Aug 01 2012

CROSSREFS

Sequence in context: A245042 A144245 A307718 * A043194 A043974 A141972

Adjacent sequences: A139916 A139917 A139918 * A139920 A139921 A139922

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, May 02 2008

STATUS

approved