Question 516605
You used "m" and "n" everywhere without specifying what n is, so I will have to assume that you meant "m" everywhere...


We want to show that there exists an integer "a" such that, for all m, if a divides any or all of those expressions, then a divides 4m+7.


This problem appears trivial because we can let a = 1 and m be some integer, and we're done. Does a have to be greater than 1 (which you did not specify)?