Problem #PRU-98286

Problems Algebra and arithmetic Polynomials Polynomials with integer coefficients and integer values Calculus Real numbers Rational and irrational numbers
 13–17  4.0

Problem

Let \(n\) numbers are given together with their product \(p\). The difference between \(p\) and each of these numbers is an odd number.

Prove that all \(n\) numbers are irrational.