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A040969
Primes p such that x^5 = 12 has no solution mod p.
2
31, 41, 61, 71, 101, 131, 151, 181, 191, 241, 251, 281, 311, 331, 401, 421, 461, 491, 521, 541, 571, 601, 631, 641, 661, 691, 701, 751, 761, 821, 881, 911, 971, 991, 1021, 1031, 1051, 1061, 1091, 1151, 1171
OFFSET
1,1
COMMENTS
Complement of A040184 relative to A000040. - Vincenzo Librandi, Sep 18 2012
LINKS
MATHEMATICA
ok[p_]:= Reduce[Mod[x^5 - 12, 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 12} ]; // Vincenzo Librandi, Sep 18 2012
CROSSREFS
Sequence in context: A159045 A099181 A040989 * A348558 A088555 A040178
KEYWORD
nonn,easy
STATUS
approved