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A059351 Primes p such that x^39 = 2 has no solution mod p. 1

%I #8 Sep 08 2022 08:45:02

%S 7,13,19,37,53,61,67,73,79,97,103,131,139,151,157,163,181,193,199,211,

%T 241,271,313,331,337,349,367,373,379,409,421,443,463,487,521,523,541,

%U 547,571,577,599,607,613,619,631,661,673,677,709,751,757,769,787,823

%N Primes p such that x^39 = 2 has no solution mod p.

%C Complement of A049571 relative to A000040.

%H Vincenzo Librandi, <a href="/A059351/b059351.txt">Table of n, a(n) for n = 1..1000</a>

%t ok[p_] := Reduce[Mod[x^39 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[150]], ok ] (* _Vincenzo Librandi_, Sep 20 2012 *)

%o (Magma) [p: p in PrimesUpTo(850) | forall{x: x in ResidueClassRing(p) | x^39 ne 2 }]; // _Vincenzo Librandi_, Sep 20 2012

%Y Cf. A000040, A049571.

%K nonn,easy

%O 1,1

%A _Klaus Brockhaus_, Jan 27 2001

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Last modified April 25 13:24 EDT 2024. Contains 371971 sequences. (Running on oeis4.)