reserve a,b,i,k,m,n for Nat;
reserve s,z for non zero Nat;
reserve c for Complex;

theorem
  (2|^n-1)^2 divides 2|^((2|^n-1)*n) - 1
  proof
    set m = 2|^n-1;
    (m+1)|^m = 2|^(m*n) by NEWTON:9;
    hence thesis by Th42;
  end;
