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A216745
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Primes p such that x^28 = -2 has no solution mod p.
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2
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5, 7, 13, 17, 23, 29, 31, 37, 41, 43, 47, 53, 61, 71, 79, 97, 101, 103, 109, 113, 127, 137, 149, 151, 157, 167, 173, 181, 191, 193, 197, 199, 211, 223, 229, 239, 241, 263, 269, 271, 277, 281, 293, 311, 313, 317, 337, 349, 359, 367, 373, 379, 383, 389, 397, 401, 409, 421, 431, 433
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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^28 + 2, p] == 0, x, Integers] == False; Select[Prime[Range[110]], ok]
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PROG
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(Magma) [p: p in PrimesUpTo(500) | not exists{x : x in ResidueClassRing(p) | x^28 eq -2} ]; // Vincenzo Librandi, Sep 16 2012
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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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