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A040167
Primes p such that x^5 = 5 has no solution mod p.
1
11, 41, 61, 71, 101, 131, 151, 181, 211, 241, 281, 311, 331, 401, 421, 431, 461, 491, 521, 541, 571, 631, 661, 691, 701, 751, 811, 821, 881, 911, 941, 971, 991, 1021, 1031, 1051, 1061, 1151, 1171, 1181, 1201
OFFSET
1,1
COMMENTS
Complement of A040165 relative to A000040. - Vincenzo Librandi, Sep 18 2012
LINKS
MATHEMATICA
ok[p_]:= Reduce[Mod[x^5 - 5, p] == 0, x, Integers] == False; Select[Prime[Range[300]], ok] (* Vincenzo Librandi, Sep 18 2012 *)
PROG
(Magma) [p: p in PrimesUpTo(1500) | not exists{x : x in ResidueClassRing(p) | x^5 eq 5} ]; // Vincenzo Librandi, Sep 18 2012
CROSSREFS
Sequence in context: A122015 A192820 A078653 * A040170 A333085 A085564
KEYWORD
nonn,easy
AUTHOR
STATUS
approved