sequence of N consecutive , when product of 2 of them is divided by other's sum
Source: St. Petersburg 2016 9.7
May 1, 2019
Integer sequenceSequencenumber theorynumber theory with sequences
Problem Statement
A sequence of consecutive positive integers is called good if it is possible to choose two of these numbers so that their product is divisible by the sum of the other numbers. For which do there exist infinitely many good sequences?