Question 36
Let $S \subset \mathbb{N}$ be a set of positive integers whose product is $2021$ times its sum.
a) Given that $S$ has five (or more) elements, what is its minimum possible sum?
b) Given that $S$ has exactly four elements, what is its minimum possible sum?
c) Given that $S$ has exactly three elements, what is its minimum possible sum?
a) Given that $S$ has five (or more) elements, what is its minimum possible sum?
b) Given that $S$ has exactly four elements, what is its minimum possible sum?
c) Given that $S$ has exactly three elements, what is its minimum possible sum?