For , it can be proven that the integer sequence has a fundamental period In other words, Find an expression for in terms of and then give your answer as
When 2017 is divided by a 2-digit number, what is the largest possible remainder?
Bonus: Generalize this problem.
Find the largest integer such that is divisible by all positive integers less than .
Find the sum of all integers with and .
What is the greatest common factor of all integers of the form where is a prime number greater than 5?