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 A040971 Primes p such that x^5 = 13 has no solution mod p. 2

%I #15 Jun 19 2023 06:40:24

%S 11,31,41,71,101,131,151,181,191,211,241,251,281,401,421,431,491,521,

%T 541,571,631,641,661,691,701,751,811,821,881,911,941,991,1031,1051,

%U 1171,1181,1201,1231,1291,1301,1321

%N Primes p such that x^5 = 13 has no solution mod p.

%C Complement of A040970 relative to A000040. - _Vincenzo Librandi_, Sep 18 2012

%H Vincenzo Librandi, <a href="/A040971/b040971.txt">Table of n, a(n) for n = 1..1000</a>

%t ok[p_]:= Reduce[Mod[x^5 - 13, p] == 0, x, Integers] == False; Select[Prime[Range[300]], ok] (* _Vincenzo Librandi_, Sep 18 2012 *)

%o (Magma) [p: p in PrimesUpTo(1500) | not exists{x : x in ResidueClassRing(p) | x^5 eq 13} ]; // _Vincenzo Librandi_, Sep 18 2012

%Y Cf. A000040, A040970.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_

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Last modified September 23 17:20 EDT 2023. Contains 365554 sequences. (Running on oeis4.)