exists a subsequence of consecutive terms, with product perfect square
Source: IMAR 2009 p4
September 27, 2018
number theoryPerfect Squarenumber theory with sequencesSequence
Problem Statement
Given any positive integers, and a sequence of integers (with terms among them), prove there exists a subsequence made of consecutive terms, such that the product of its terms is a perfect square. Also show that we cannot replace with any lower value (therefore is the threshold value for this property).