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A059311
Primes p such that x^22 = 2 has no solution mod p.
2
3, 5, 11, 13, 19, 23, 29, 37, 43, 53, 59, 61, 67, 83, 89, 101, 107, 109, 131, 139, 149, 157, 163, 173, 179, 181, 197, 199, 211, 227, 229, 251, 269, 277, 283, 293, 307, 317, 331, 347, 349, 353, 373, 379, 389, 397, 419, 421, 443, 461, 463, 467, 491, 499, 509
OFFSET
1,1
COMMENTS
Complement of A049554 relative to A000040.
LINKS
MATHEMATICA
ok[p_] := Reduce[Mod[x^22 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok] (* Vincenzo Librandi, Sep 20 2012 *)
PROG
(Magma) [p: p in PrimesUpTo(600) | not exists{x: x in ResidueClassRing(p) | x^22 eq 2}]; // Vincenzo Librandi, Sep 20 2012
CROSSREFS
Sequence in context: A166089 A136208 A045405 * A023209 A020609 A151917
KEYWORD
nonn,easy
AUTHOR
Klaus Brockhaus, Jan 25 2001
STATUS
approved