MathDB

Polynomial in Z[x] - values at 1,...,n are powers of 2

Source: Kürschák 1998, problem 2

July 15, 2014

algebrapolynomialalgebra unsolved

Problem Statement

Prove that for every positive integer

n

, there exists a polynomial with integer coefficients whose values at points

1,2,\dots,n

are pairwise different powers of

2