I am in the process of completing an assignment where i have to make conjectures. As of now I have made conjectures that for function P(n)=(n^x)-n is divisible by x for all x that are prime numbers, And that for x choose r=k, k belonging to the natural numbers, that k is a multiple of x when r=2. Now I have to make a converse, I have absolutely no idea what a converse is. Through googling "converse conjecture" I have an idea that a converse is a counter-argument to my arguments, but that would mean I would have to contradict myself? Help and input much appreciated.