

A040979


Primes p such that x^5 = 17 has no solution mod p.


2



11, 31, 41, 61, 71, 131, 151, 191, 211, 241, 251, 271, 281, 311, 331, 401, 421, 431, 461, 521, 541, 571, 631, 641, 661, 691, 751, 761, 821, 881, 911, 941, 971, 1021, 1051, 1091, 1151, 1171, 1181, 1201, 1291, 1301, 1381, 1451, 1471
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OFFSET

1,1


COMMENTS



LINKS



MATHEMATICA

ok[p_]:= Reduce[Mod[x^5  17, p] == 0, x, Integers] == False; Select[Prime[Range[300]], ok] (* Vincenzo Librandi, Sep 19 2012 *)


PROG

(Magma) [p: p in PrimesUpTo(1500)  not exists{x : x in ResidueClassRing(p)  x^5 eq 17} ]; // Vincenzo Librandi, Sep 19 2012


CROSSREFS



KEYWORD

nonn,easy


AUTHOR



STATUS

approved



