MathDB
Putnam 1960 B4

Source: Putnam 1960

June 11, 2022
Putnamarithmetic sequencepowers

Problem Statement

Consider the arithmetic progression a,a+d,a+2d,a, a+d, a+2d,\ldots where aa and dd are positive integers. For any positive integer kk, prove that the progression has either no kk-th powers or infinitely many.