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A216739
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Primes p such that x^16 = -2 has no solution mod p.
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2
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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, 263, 269, 271, 277, 293, 311, 313, 317, 337, 349, 353, 359, 367, 373, 383, 389, 397
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OFFSET
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1,1
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COMMENTS
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LINKS
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MATHEMATICA
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ok[p_] := Reduce[Mod[x^16 + 2, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok]
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PROG
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(Magma) [p: p in PrimesUpTo(400) | forall{x: x in ResidueClassRing(p) | x^16 ne -2}]; // Bruno Berselli, Sep 20 2012
(PARI) select(x->!ispower(Mod(-2, x), 16), primes(100)) \\ Michel Marcus, Mar 19 2023
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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