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A059668 Primes p such that x^36 = 2 has no solution mod p, but x^12 = 2 has a solution mod p. 4

%I

%S 919,1423,1999,2143,2287,2791,4177,4519,4663,5113,5167,6679,6967,8713,

%T 9631,9649,9721,11863,12241,12583,12799,13591,16111,17551,18127,20359,

%U 20719,21529,21727,21799,22807,23041,23473,23743,23833,23887,23977

%N Primes p such that x^36 = 2 has no solution mod p, but x^12 = 2 has a solution mod p.

%H Vincenzo Librandi, <a href="/A059668/b059668.txt">Table of n, a(n) for n = 1..357</a>

%t Select[Prime[Range[PrimePi[30000]]], ! MemberQ[PowerMod[Range[#], 36, #], Mod[2, #]]&& MemberQ[PowerMod[Range[#], 12, #], Mod[2, #]] &] (* _Vincenzo Librandi_, Sep 22 2013 *)

%o (MAGMA) [p: p in PrimesUpTo(24000) | not exists{x: x in ResidueClassRing(p) | x^36 eq 2} and exists{x: x in ResidueClassRing(p) | x^12 eq 2}]; // _Vincenzo Librandi_, Sep 21 2012

%Y A000040, A049568, A049544, A059264.

%K nonn,easy

%O 1,1

%A _Klaus Brockhaus_, Feb 04 2001

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Last modified July 10 13:04 EDT 2020. Contains 335576 sequences. (Running on oeis4.)