Recent content by numba

  1. N

    Show that for all integers n>2, n does not divide n^2+2

    I can use that, but I'm not sure how it would be done. Intuitively it makes sense, but is there an axiom that I could use that proves this?
  2. N

    Show that for all integers n>2, n does not divide n^2+2

    Homework Statement Show that for all integers n>2, n does not divide n^2+2. 2. The attempt at a solution I believe this solution can be solved by induction, I just don't know how to phrase it recursively. For all n>2, n^2+2 mod n ≠ 0 Base case n=3 3^2 + 2 =11 11 mod 3 = 2 ≠ 0...