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

1,1

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

Table of n, a(n) for n=1..11.

Index to values of cyclotomic polynomials of integer argument

Mathematica

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

Prog

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

Crossrefs

Cf. A060885, A162862.

Sequence in context: A083443 A174089 A351239 * A022011 A175889 A347849

Adjacent sequences: A162858 A162859 A162860 * A162862 A162863 A162864

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Jul 14 2009

Extensions

Program by Charles R Greathouse IV, Oct 12 2009

Status

approved