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International Contests
Baltic Way
2008 Baltic Way
8
8
Part of
2008 Baltic Way
Problems
(1)
The greatest element of A
Source: Baltic Way 2008, Problem 8
11/23/2008
Consider a set
A
A
A
of positive integers such that the least element of
A
A
A
equals
1001
1001
1001
and the product of all elements of
A
A
A
is a perfect square. What is the least possible value of the greatest element of
A
A
A
?
number theory unsolved
number theory