1994 IMO Problems/Problem 6

Problem

Show that there exists a set $A$ of positive integers with the following property: For any infinite set $S$ of primes there exist two positive integers $m \in A$ and $n \not\in A$ each of which is a product of $k$ distinct elements of $S$ for some $k \ge 2$.

Solution

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See Also

1994 IMO (Problems) • Resources
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