A134518 Least k such that the cyclotomic polynomial Phi(k,x) contains n or -n as a coefficient, where k is restricted to be the product of 3 distinct prime numbers.

105, 385, 2431, 2717, 8671, 17119, 19499, 20213, 20213, 34891, 34891, 93439, 93439, 93439, 93439, 93439, 282367, 282367, 282367, 282367, 282367, 282367, 282367, 282367, 282367, 617927, 617927, 849647, 849647, 849647, 849647, 849647, 874507

Offset

2,1

Comments

It is well-known that k=105 is the first number for which Phi(k,x) has a coefficient other than -1, 0, or 1. See A013594 for the case when k has no restrictions.

Links

Table of n, a(n) for n=2..34.

Jia Zhao and Xianke Zhang, Coefficients of ternary cyclotomic polynomials, Journal of Number Theory, Volume 130, Issue 10, October 2010, Pages 2223-2237.

Crossrefs

Cf. A007304, A013594.

Sequence in context: A013594 A160340 A136418 * A160717 A165056 A165060

Adjacent sequences: A134515 A134516 A134517 * A134519 A134520 A134521

Keyword

nonn

Author

T. D. Noe, Oct 29 2007

Status

approved