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A040124
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Primes p such that x^4 = 12 has a solution mod p.
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2
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2, 3, 11, 23, 37, 47, 59, 61, 71, 83, 107, 131, 157, 167, 179, 191, 193, 227, 239, 251, 263, 311, 313, 347, 349, 359, 373, 383, 397, 419, 431, 433, 443, 467, 479, 491, 503, 563, 577, 587, 599, 601, 613, 647, 659
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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 - 12, 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{x: x in ResidueClassRing(p) | x^4 eq 12}]; // Vincenzo Librandi, Sep 12 2012
(PARI) select( n->ispower( Mod(12, n), 4), primes(1000) ) /* Joerg Arndt, 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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