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A051078
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Primes p such that x^18 = -2 has a solution mod p.
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2
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2, 3, 11, 17, 41, 43, 59, 83, 89, 107, 113, 131, 137, 179, 227, 233, 251, 257, 281, 283, 347, 353, 401, 419, 443, 449, 457, 467, 491, 499, 521, 563, 569, 587, 593, 601, 617, 641, 643, 659, 683, 691, 761, 809, 827, 857, 881, 929, 947, 953, 971, 977, 1019, 1049, 1051, 1091, 1097, 1163, 1187, 1193, 1217, 1259, 1283, 1289, 1307, 1361, 1409
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OFFSET
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1,1
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COMMENTS
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Differs from A051096 first at the 640th entry, at p=17659, next at p=23059. - R. J. Mathar, Oct 14 2008
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LINKS
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MATHEMATICA
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ok[p_]:= Reduce[Mod[x^18 + 2, p] == 0, x, Integers] =!= False; Select[Prime[Range[400]], ok] (* Vincenzo Librandi, Sep 15 2012 *)
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PROG
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(Magma) [p: p in PrimesUpTo(1410) | exists(t){x : x in ResidueClassRing(p) | x^18 eq - 2}]; // Vincenzo Librandi Sep 15 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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EXTENSIONS
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STATUS
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approved
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