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!)
A162861 Primes of the form n^10 + n^9 + n^8 + n^7 + n^6 + n^5 + n^4 + n^3 + n^2 + n + 1. 11

%I #13 Sep 05 2018 09:04:13

%S 11,12207031,2141993519227,10778947368421,17513875027111,

%T 610851724137931,178250690949465223,614910264406779661,

%U 22390512687494871811,2346320474383711003267,22793803793211153712637

%N Primes of the form n^10 + n^9 + n^8 + n^7 + n^6 + n^5 + n^4 + n^3 + n^2 + n + 1.

%C The corresponding n is given in A162862. This sequence lists primes of the form Phi(11,k), where Phi(11,k) = (k^11 - 1)/(k - 1) is the eleventh cyclotomic polynomial. - _Jianing Song_, Sep 05 2018

%H <a href="/index/Cy#CyclotomicPolynomialsValuesAtX">Index to values of cyclotomic polynomials of integer argument</a>

%t Select[Table[Total[n^Range[0,10]],{n,200}],PrimeQ] (* _Harvey P. Dale_, Feb 06 2015 *)

%o (PARI) print1(11);for(n=2,1000,k=(n^11-1)/(n-1);if(isprime(k),print1(","k)))

%Y Cf. A060885, A162862.

%K nonn

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Jul 14 2009

%E Program by _Charles R Greathouse IV_, Oct 12 2009

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 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)