We are considering polynomials of the form \[ (x-1)(x-2)(x-3) \cdots (x-p +1) + 1 -p^2\] that can be factorized into 2 non-constant polynomials with integer coefficients.

What is the number of those polynomials if p is prime and less than \(10^8\)?

×

Problem Loading...

Note Loading...

Set Loading...