# Simple Concept Tough Problem-4

**“The only way to learn mathematics is to do mathematics !”** – **Paul Halmos**.

Yes, definitely ! The more we do mathematics, the more we lean mathematics. So, here we are with the fourth problem in SCTP series. This problem appeared in PRMO 2017 paper.

**If an integer , a natural number and a prime number satisfy , then find the largest possible value of .**

We can solve this problem using the concepts of middle term factorization of quadratic polynomial, prime factorization of numbers and a commonly used property of divisibility. Let’s have a look at the following video :