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A040117
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Primes congruent to 5 (mod 12). Also primes p such that x^4 = 9 has no solution mod p.
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19
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5, 17, 29, 41, 53, 89, 101, 113, 137, 149, 173, 197, 233, 257, 269, 281, 293, 317, 353, 389, 401, 449, 461, 509, 521, 557, 569, 593, 617, 641, 653, 677, 701, 761, 773, 797, 809, 821, 857, 881, 929, 941, 953, 977, 1013, 1049, 1061, 1097, 1109, 1181, 1193
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OFFSET
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1,1
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COMMENTS
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Primes of the form 2x^2-2xy+5y^2 with x and y nonnegative. - T. D. Noe, May 08 2005
Complement of A040116 relative to A000040. - Vincenzo Librandi, Sep 17 2012
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..1000
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MATHEMATICA
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Select[Prime/@Range[250], Mod[ #, 12]==5&]
ok[p_]:= Reduce[Mod[x^4 - 9, p] == 0, x, Integers] == False; Select[Prime[Range[200]], ok] (* Vincenzo Librandi, Sep 17 2012 *)
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PROG
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(PARI) for(i=1, 250, if(prime(i)%12==5, print(prime(i))))
(MAGMA) [p: p in PrimesUpTo(1200) | not exists{x : x in ResidueClassRing(p) | x^4 eq 9} ]; // Vincenzo Librandi, Sep 17 2012
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CROSSREFS
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Cf. A068227, A068228, A068229, A068231, A068232, A068233, A068234, A068235.
Sequence in context: A030554 A017581 A068230 * A145471 A126193 A074965
Adjacent sequences: A040114 A040115 A040116 * A040118 A040119 A040120
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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More terms from Dean Hickerson (dean.hickerson(AT)yahoo.com), Feb 27 2002
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STATUS
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approved
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