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A040141
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Primes p such that x^4 = 18 has a solution mod p.
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2
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2, 3, 7, 17, 23, 31, 41, 47, 71, 73, 79, 103, 127, 137, 151, 167, 191, 199, 223, 239, 263, 271, 311, 337, 359, 367, 383, 401, 431, 439, 449, 463, 479, 487, 503, 521, 569, 577, 599, 601, 607, 631, 641, 647, 719
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OFFSET
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1,1
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LINKS
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MATHEMATICA
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ok [p_]:=Reduce[Mod[x^4 - 18, p]== 0, x, Integers]=!= False; Select[Prime[Range[180]], ok] (* Vincenzo Librandi, Sep 12 2012 *)
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PROG
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(Magma) [p: p in PrimesUpTo(800) | exists(t){x : x in ResidueClassRing(p) | x^4 eq 18}]; // Vincenzo Librandi, Sep 12 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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