login
A216747
Primes p such that x^32 = -2 has no solution mod p.
3
5, 7, 13, 17, 23, 29, 31, 37, 41, 47, 53, 61, 71, 73, 79, 89, 97, 101, 103, 109, 113, 127, 137, 149, 151, 157, 167, 173, 181, 191, 193, 197, 199, 223, 229, 233, 239, 241, 257, 263, 269, 271, 277, 293, 311, 313, 317, 337, 349, 353, 359, 367, 373, 383, 389, 397
OFFSET
1,1
COMMENTS
Complement of A051085 relative to A000040.
LINKS
MATHEMATICA
ok[p_]:=Reduce[Mod[x^32 + 2, p] == 0, x, Integers] == False; Select[Prime[Range[200]], ok]
PROG
(Magma) [ p: p in PrimesUpTo(400) | not exists{x : x in ResidueClassRing(p) | x^32 eq -2} ]; //
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Sep 16 2012
EXTENSIONS
Definition corrected by Georg Fischer, Feb 28 2021
STATUS
approved