A045416 Primes congruent to {3, 5} mod 7.

3, 5, 17, 19, 31, 47, 59, 61, 73, 89, 101, 103, 131, 157, 173, 199, 227, 229, 241, 257, 269, 271, 283, 311, 313, 353, 367, 383, 397, 409, 439, 467, 479, 509, 521, 523, 563, 577, 593, 607, 619, 647, 661, 677, 691

Offset

1,1

Comments

Primes p such that (1-x^7)/(1-x) is irreducible over GF(p). [Joerg Arndt, Aug 10 2011]

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Mathematica

Select[Prime[Range[130]], Mod[#, 7]==3||Mod[#, 7]==5&] (* Harvey P. Dale, Jul 15 2011 *)

Prog

(Magma)[ p: p in PrimesUpTo(1000) | p mod 7 in {3, 5} ]; // Vincenzo Librandi, Aug 12 2012

Crossrefs

Cf. A000040.

Sequence in context: A191051 A040129 A045415 * A038891 A287638 A119768

Adjacent sequences: A045413 A045414 A045415 * A045417 A045418 A045419

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved