PROG
(MAGMAMagma) [n: n in [1..500]| IsPrime(n^6 + n^5 + n^4 + n^3 + n^2 + n + 1)]; // Vincenzo Librandi, Feb 08 2014
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(MAGMAMagma) [n: n in [1..500]| IsPrime(n^6 + n^5 + n^4 + n^3 + n^2 + n + 1)]; // Vincenzo Librandi, Feb 08 2014
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Positive integers n k such that nk^6 + nk^5 + nk^4 + nk^3 + nk^2 + n k + 1 is prime.
n k = 5978493 * 2^150006 - 1 is an example of a very large member term of this sequence. The generated prime is proved by the N-1 method (because n k is prime and nk*(nk+1) is fully factored and this provides for an exactly 33.33...% factorization for Phi_7(nk) - 1). - Serge Batalov, Mar 13 2015
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2 is in the sequence because 2^6 + 2^5 + 2^4 + 2^3 + 2^2 + 2 + 1 = 127 , which is prime.
seq(A100330(n), n=1..30) ; # __R. J. Mathar_, Feb 07 2014
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