smallest no of distinct prime factors in product of 10 distinct coprime integers
Source: Lusophon 2016 CPLP P1
August 29, 2018
number theoryPrime factorProductcoprimepositive integers
Problem Statement
Consider distinct positive integers that are all prime to each other (that is, there is no a prime factor common to all), but such that any two of them are not prime to each other. What is the smallest number of distinct prime factors that may appear in the product of numbers?