A042969 Primes p such that x^7 = 3 has no solution mod p.
29, 43, 71, 113, 127, 197, 211, 239, 281, 337, 379, 421, 449, 463, 491, 547, 617, 631, 659, 673, 701, 743, 827, 911, 953, 967, 1009, 1051, 1093, 1163, 1303, 1373, 1429, 1471, 1499, 1667, 1709, 1723, 1933, 2003, 2017, 2087, 2129, 2143
Offset: 1
Links
- Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Programs
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Magma
[p: p in PrimesUpTo(2500) | not exists{x : x in ResidueClassRing(p) | x^7 eq 3} ]; // Vincenzo Librandi, Sep 19 2012 -
Mathematica
ok[p_]:= Reduce[Mod[x^7 - 3, p] == 0, x, Integers] == False; Select[Prime[Range[800]], ok] (* Vincenzo Librandi, Sep 19 2012 *)
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