31 Jul
2009
31 Jul
'09
5:56 p.m.
What are the cases you know that don't work? --Dan Erich wrote: << for integers m and n, i've been factoring (over the integers) the polynomials: P = (x^n-1) / (x-1) - m obviously when m = (k^n-1)/(k-1) for some integer k, there is a linear factor. i'm interested in the cases when P factors without a linear factor. i've only found 6 cases: [details re 5, 6, 8, 9, 11, 14 omitted] is there some rhyme or reason for these, or are they just random?
_____________________________________________________________________ "It don't mean a thing if it ain't got that certain je ne sais quoi." --Peter Schickele