Name: Prime square remainders
Let pn be the nth prime: 2, 3, 5, 7, 11, ..., and
let r be the remainder when (pn−1)^n + (pn+1)^n is divided by pn^2.
For example, when n = 3, p3 = 5, and 43 + 63 = 280 ≡ 5 mod 25.
The least value of n for which the remainder first exceeds 10^9 is 7037.
Find the least value of n for which the remainder first exceeds 10^10.
Reference: https://projecteuler.net/problem=123
reference: #2695
Co-authored-by: Ravi Kandasamy Sundaram <rkandasamysundaram@luxoft.com>