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A216776
Primes p such that x^62 = -2 has no solution mod p.
2
5, 7, 13, 23, 29, 31, 37, 47, 53, 61, 71, 79, 101, 103, 109, 127, 149, 151, 157, 167, 173, 181, 191, 197, 199, 223, 229, 239, 263, 269, 271, 277, 293, 311, 317, 349, 359, 367, 373, 383, 389, 397, 421, 431, 439, 461, 463, 479, 487, 503, 509, 541, 557, 599
OFFSET
1,1
COMMENTS
Complement of A051100 relative to A000040.
a(n) = A045355(n+1) up to n=116, and then both sequences start to differ substantially. - R. J. Mathar, Sep 19 2012
LINKS
MATHEMATICA
ok[p_]:=Reduce[Mod[x^62 + 2, p] == 0, x, Integers] == False; Select[Prime[Range[220]], ok]
PROG
(Magma) [p: p in PrimesUpTo(700) | not exists{x : x in ResidueClassRing(p) | x^62 eq -2} ];
CROSSREFS
Sequence in context: A216768 A216750 A003628 * A105874 A105904 A038901
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Sep 16 2012
STATUS
approved