Proofs of Existence and Optimality · Difficult Problems in Number Theory (Optional)
Lesson 10
Problem. Find a positive integer \(n\) such that the greatest common divisor of the numbers \(n^{17}+9\) and \((n+1)^{17}+9\) is not one.
1 point
Proofs of Existence and Optimality · Difficult Problems in Number Theory (Optional)
Problem. Find a positive integer \(n\) such that the greatest common divisor of the numbers \(n^{17}+9\) and \((n+1)^{17}+9\) is not one.