A059314 Primes p such that x^26 = 2 has no solution mod p.

3, 5, 11, 13, 19, 29, 37, 43, 53, 59, 61, 67, 79, 83, 101, 107, 109, 131, 139, 149, 157, 163, 173, 179, 181, 197, 211, 227, 229, 251, 269, 277, 283, 293, 307, 313, 317, 331, 347, 349, 373, 379, 389, 397, 419, 421, 443, 461, 467, 491, 499, 509, 521, 523, 541

Offset: 1

Author

Klaus Brockhaus, Jan 25 2001

Keywords

• nonn
• easy

Comments

Complement of A049558 relative to A000040.

Links

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

Programs

Magma

[p: p in PrimesUpTo(550) | not exists{x : x in ResidueClassRing(p) | x^26 eq 2 }]; // Vincenzo Librandi, Sep 20 2012

Mathematica

ok[p_] := Reduce[Mod[x^26 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok ] (* Vincenzo Librandi, Sep 20 2012  *)