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 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. 9
 11, 12207031, 2141993519227, 10778947368421, 17513875027111, 610851724137931, 178250690949465223, 614910264406779661, 22390512687494871811, 2346320474383711003267, 22793803793211153712637 (list; graph; refs; listen; history; text; internal format)
 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 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: A230376 A083443 A174089 * A022011 A175889 A295173 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

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Last modified February 24 22:57 EST 2020. Contains 332216 sequences. (Running on oeis4.)