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A040172 Primes p such that x^5 = 7 has no solution mod p. 2
11, 31, 41, 61, 71, 101, 131, 151, 191, 211, 241, 251, 271, 281, 331, 401, 421, 431, 461, 491, 521, 541, 571, 601, 631, 641, 691, 701, 751, 761, 821, 881, 941, 991, 1021, 1051, 1061, 1091, 1181, 1231, 1291 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Complement of A040171 relative to A000040. - Vincenzo Librandi, Sep 18 2012
LINKS
MATHEMATICA
ok[p_]:= Reduce[Mod[x^5 - 7, 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 7} ]; // Vincenzo Librandi, Sep 18 2012
CROSSREFS
Sequence in context: A059313 A040975 A188384 * A040160 A040981 A181603
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified February 25 10:30 EST 2024. Contains 370321 sequences. (Running on oeis4.)