2013 OIM Problems/Problem 5
Problem
Let and be two sets such that:
1. is the set of positive integers.
2. is empty.
3. If two positive integers have as difference a prime greater than 2013, then one of them is in and the other in .
Find all the possibilities for sets and .
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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