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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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Complement of A040165 relative to A000040. - Vincenzo Librandi, Sep 18 2012 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 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 Adjacent sequences: A040164 A040165 A040166 * A040168 A040169 A040170 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified March 30 09:39 EDT 2023. Contains 361609 sequences. (Running on oeis4.)