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A216769
Primes p such that x^48 = -2 has no solution mod p.
2
5, 7, 13, 17, 19, 23, 29, 31, 37, 41, 47, 53, 61, 67, 71, 73, 79, 89, 97, 101, 103, 109, 113, 127, 137, 139, 149, 151, 157, 163, 167, 173, 181, 191, 193, 197, 199, 211, 223, 229, 233, 239, 241, 263, 269, 271, 277, 293, 311, 313, 317, 331, 337, 349, 353, 359
OFFSET
1,1
COMMENTS
Complement of A051093 relative to A000040.
Starts to differ from A216743 at index n=121 (presence/absence of 881). - R. J. Mathar, Jul 20 2023
LINKS
MATHEMATICA
ok[p_] := Reduce[Mod[x^48 + 2, p] == 0, x, Integers] == False; Select[Prime[Range[200]], ok]
PROG
(Magma) [p: p in PrimesUpTo(600) | not exists{x: x in ResidueClassRing(p) | x^48 eq -2}];
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Sep 16 2012
STATUS
approved