product of 100 pos. integers equal to product of 1.919 pos. integers
Source: 2020 Dutch BxMO TST p5
November 23, 2020
number theoryprimesProduct
Problem Statement
A set S consisting of (different) positive integers has the following property:
the product of every 100 elements of is a divisor of the product of the remaining elements.
What is the maximum number of prime numbers that can contain?