IMO Shortlist 1970 problem 4
Dodao/la:
arhiva2. travnja 2012. Find all positive integers
![n](/media/m/a/e/5/ae594d7d1e46f4b979494cf8a815232b.png)
such that the set
![\{n,n+1,n+2,n+3,n+4,n+5\}](/media/m/4/e/8/4e8bc1c9c3646c44070db49d37d8b422.png)
can be partitioned into two subsets so that the product of the numbers in each subset is equal.
%V0
Find all positive integers $n$ such that the set $\{n,n+1,n+2,n+3,n+4,n+5\}$ can be partitioned into two subsets so that the product of the numbers in each subset is equal.
Izvor: Međunarodna matematička olimpijada, shortlist 1970