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 A040047 Primes p such that x^3 = 6 has no solution mod p. 4
 13, 19, 31, 43, 61, 67, 73, 79, 97, 103, 109, 127, 151, 157, 193, 199, 211, 223, 229, 271, 277, 283, 331, 367, 373, 397, 433, 457, 463, 487, 523, 547, 577, 601, 613, 619, 661, 673, 691, 709, 733, 739, 757, 769 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Complement of A040046 relative to A000040. - Vincenzo Librandi, Sep 17 2012 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 Benjamin Braun, Brian Davis, Antichain Simplices, arXiv:1901.01417 [math.CO], 2019. Stepan Kochemazov, Oleg Zaikin, Eduard Vatutin, Alexey Belyshev, Enumerating Diagonal Latin Squares of Order Up to 9, J. Int. Seq., Vol. 23 (2020), Article 20.1.2. MATHEMATICA ok[p_]:= Reduce[Mod[x^3 - 6, p] == 0, x, Integers] == False; Select[Prime[Range[200]], ok] (* Vincenzo Librandi, Sep 17 2012 *) PROG (Magma) [p: p in PrimesUpTo(1000) | not exists{x : x in ResidueClassRing(p) | x^3 eq 6} ]; // Vincenzo Librandi, Sep 17 2012 CROSSREFS Sequence in context: A164333 A182365 A069324 * A163847 A051644 A101408 Adjacent sequences: A040044 A040045 A040046 * A040048 A040049 A040050 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified March 28 13:18 EDT 2023. Contains 361585 sequences. (Running on oeis4.)