Let A be the set of all the positive integers that can be written in the form p⁶⁶⁶-q⁶⁶⁶ for some prime numbers p≥q≥11. What is the greatest common divisor of all the elements of A?

As the difference between any two such powers of odd numbers must be even, all of them are divisible by two. 

Posted by Charlie on 2025-02-02 09:20:12