

A040171


Primes p such that x^5 = 7 has a solution mod p.


2



2, 3, 5, 7, 13, 17, 19, 23, 29, 37, 43, 47, 53, 59, 67, 73, 79, 83, 89, 97, 103, 107, 109, 113, 127, 137, 139, 149, 157, 163, 167, 173, 179, 181, 193, 197, 199, 223, 227, 229, 233, 239, 257, 263, 269, 277, 283, 293
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OFFSET

1,1


COMMENTS

Complement of A040172 relative to A000040.  Vincenzo Librandi, Sep 13 2012


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000


MATHEMATICA

ok [p_]:= Reduce[Mod[x^5  7, p] == 0, x, Integers] =!= False; Select[Prime[Range[150]], ok] (* Vincenzo Librandi, Sep 12 2012 *)


PROG

(MAGMA) [p: p in PrimesUpTo(300)  exists{x: x in ResidueClassRing(p)  x^5 eq 7}]; // Vincenzo Librandi, Sep 12 2012


CROSSREFS

Cf. A000040, A040172.
Sequence in context: A040982 A040980 A040159 * A040974 A049557 A042991
Adjacent sequences: A040168 A040169 A040170 * A040172 A040173 A040174


KEYWORD

nonn,easy


AUTHOR

N. J. A. Sloane.


STATUS

approved



