A059263 Primes p such that x^10 = 2 has no solution mod p.

3, 5, 11, 13, 19, 29, 31, 37, 41, 43, 53, 59, 61, 67, 71, 83, 101, 107, 109, 131, 139, 149, 157, 163, 173, 179, 181, 191, 197, 211, 227, 229, 251, 269, 271, 277, 281, 283, 293, 307, 311, 317, 331, 347, 349, 373, 379, 389, 397, 401, 419, 421, 443, 461, 467, 491

Offset: 1

Author

Klaus Brockhaus, Jan 23 2001

Keywords

• nonn
• easy

Comments

Complement of A049542 relative to A000040.

Links

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

Crossrefs

Cf. A000040, A049542.

Programs

Magma

[p: p in PrimesUpTo(500) | not exists{x: x in ResidueClassRing(p) | x^10 eq 2}]; // Vincenzo Librandi, Sep 20 2012

Mathematica

ok[p_] := Reduce[Mod[x^10 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok] (* Vincenzo Librandi, Sep 20 2012 *)