login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A059665 Primes p such that x^54 = 2 has no solution mod p, but x^6 = 2 has a solution mod p. 3

%I #10 Sep 08 2022 08:45:03

%S 433,919,1423,1999,2017,2143,2287,2791,2953,3457,3889,3943,4177,4519,

%T 4663,5113,5167,6679,6967,8713,9631,9649,9721,10009,11287,11863,12241,

%U 12583,12799,13177,13591,15913,16057,16111,16561,16921,17551,18127

%N Primes p such that x^54 = 2 has no solution mod p, but x^6 = 2 has a solution mod p.

%H Vincenzo Librandi, <a href="/A059665/b059665.txt">Table of n, a(n) for n = 1..389</a>

%t Select[Prime[Range[PrimePi[20000]]], !MemberQ[PowerMod[Range[#], 54, #], Mod[2, #]] && MemberQ[PowerMod[Range[#], 6, #], Mod[2, #]] &] (* _Vincenzo Librandi_, Sep 21 2013 *)

%o (Magma) [p: p in PrimesUpTo(20000) | not exists{x: x in ResidueClassRing(p) | x^54 eq 2} and exists{x: x in ResidueClassRing(p) | x^6 eq 2}]; // _Vincenzo Librandi_, Sep 21 2012

%Y A000040, A040992, A040993, A049550, A059666, A059664.

%K nonn,easy

%O 1,1

%A _Klaus Brockhaus_, Feb 04 2001

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 25 07:07 EDT 2024. Contains 371964 sequences. (Running on oeis4.)