MathDB
ASU 465 All Soviet Union MO 1988 each divides product other 2, a+b=c+1

Source:

August 7, 2019
number theoryProduct

Problem Statement

Show that there are infinitely many triples of distinct positive integers a,b,ca, b, c such that each divides the product of the other two and a+b=c+1a + b = c + 1.