A139913 Primes of the form 17x^2+8xy+17y^2.

17, 101, 173, 257, 269, 521, 677, 797, 857, 881, 1013, 1049, 1109, 1193, 1277, 1301, 1361, 1433, 1613, 1637, 1889, 1949, 1973, 2141, 2357, 2393, 2441, 2609, 2729, 2861, 3041, 3449, 3461, 3533, 3617, 3701, 3797, 3821, 4073, 4133, 4157, 4241

Offset: 1

Author

T. D. Noe, May 02 2008

Keywords

• nonn
• easy

Comments

Discriminant=-1092. 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)

Programs

Magma

[ p: p in PrimesUpTo(5000) | p mod 1092 in [17, 101, 173, 185, 209, 257, 269, 341, 425, 521, 545, 677, 797, 857, 881, 965, 1013, 1049]]; // Vincenzo Librandi, Aug 01 2012

Mathematica

Union[QuadPrimes2[17, 8, 17, 10000], QuadPrimes2[17, -8, 17, 10000]] (* see A106856 *)

Formula

The primes are congruent to {17, 101, 173, 185, 209, 257, 269, 341, 425, 521, 545, 677, 797, 857, 881, 965, 1013, 1049} (mod 1092).