cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A070737 Smallest number x such that the first n cyclotomic polynomials evaluated at x are primes.

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%I A070737 #7 Oct 19 2017 03:14:01
%S A070737 3,4,6,6,1068630,6770610,2981997480,339126523890,120351747887280,
%T A070737 13533264289711320
%N A070737 Smallest number x such that the first n cyclotomic polynomials evaluated at x are primes.
%C A070737 Let Phi_k be the k-th cyclotomic polynomial. a(n) is the least integer x such that for each k from 1 to n, Phi_k(x) is prime.
%e A070737 a(6)=x=6770610 because Phi_1(x)=x-1, Phi_2(x)=x+1, Phi_3(x)=x^2+x+1, Phi_4(x)=x^2+1, Phi_5(x)=x^4+x^3+x^2+x+1 and Phi_6(x)=x^2-x+1 are all prime.
%Y A070737 Cf. A014574, A070020, A070025, A070043.
%K A070737 nonn
%O A070737 1,1
%A A070737 _Don Reble_, May 15 2002 and _Phil Carmody_, Aug 09 2002