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, 12207031, 2141993519227, 10778947368421, 17513875027111, 610851724137931, 178250690949465223, 614910264406779661, 22390512687494871811, 2346320474383711003267, 22793803793211153712637

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Jul 14 2009

Keywords

• nonn

Comments

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

Links

• Index to values of cyclotomic polynomials of integer argument

Crossrefs

Cf. A060885, A162862.

Programs

Mathematica

Select[Table[Total[n^Range[0,10]],{n,200}],PrimeQ] (* Harvey P. Dale, Feb 06 2015 *)

PARI

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

Extensions

Program by Charles R Greathouse IV, Oct 12 2009