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Tuymaada 2022

Source: Tuymaada 2022 Senior P-5

September 12, 2022
trinomialquadratic trinomialalgebra

Problem Statement

Prove that a quadratic trinomial x2+ax+b(a,b∈R)x^2 + ax + b (a, b \in R) cannot attain at ten consecutive integral points values equal to powers of 22 with non-negative integral exponent. (F. Petrov )