2020 OIM Problems/Problem 4
Problem
Prove that there exists a set 
of 2020 positive and distinct integers that simultaneously fulfills the following properties:
- When we calculate the greatest common factor of every two elements of
, we obtain a list of numbers that are all different.
- When you calculate the least common multiple of every two elements of , you get a list of numbers that are all different.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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