login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A040179
Primes p such that x^5 = 11 has a solution mod p.
2
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 37, 43, 47, 53, 59, 61, 67, 73, 79, 83, 89, 97, 103, 107, 109, 113, 127, 137, 139, 149, 157, 163, 167, 173, 179, 191, 193, 197, 199, 223, 227, 229, 233, 239, 241, 257, 263, 269
OFFSET
1,1
COMMENTS
Complement of A040180 relative to A000040. - Bruno Berselli, Sep 13 2012
LINKS
MATHEMATICA
ok [p_ ]:=Reduce[Mod[x^5 - 11, p ]== 0, x, Integers ]=!= False; Select[Prime[Range[150]], ok] (* Vincenzo Librandi, Sep 12 2012 *)
PROG
(Magma) [p: p in PrimesUpTo(400) | exists(t) {x : x in ResidueClassRing(p) | x^5 eq 11}]; // Vincenzo Librandi, Sep 12 2012
CROSSREFS
Sequence in context: A316504 A077500 A036955 * A040986 A040990 A040177
KEYWORD
nonn,easy
AUTHOR
STATUS
approved