Recent content by jcoughlin

Ah sorry, had a typo in the line that established 12^n-1 = 2^2n * 3^n - 1 . Is showing 11 to be a factor, which happens to be prime, the same thing as showing that the prime factorization includes 11?

Homework Statement Claim: If n is a positive integer, the prime factorization of 22n * 3n - 1 includes 11 as one of the prime factors. Homework Equations Factor Theorem: a polynomial f(x) has a factor (x-k) iff f(k)=0.The Attempt at a Solution First, we show that (x-1) is a factor of (xn-1)...