I’m doing my homework and have hit an extra credit problem that I’m struggling with. I will give away half of my current tokens (for a total of 6,645 tokens) to the first person who can answer the following question. (I searched google, and could not find it.)

Find three consecutive integers the first of which is divisible by the square of a prime; the second, by the cube of a prime; and the third, by the fourth power of a prime.

I have an idea of how to do it, so if you ask the right questions, I’ll give hints. PLEASE help me get this extra credit! I didn’t do as well on my midterm as I’d have liked!