MathDB

As a gift, Dilhan was given the number

n=1^1\cdot2^2\cdots2021^{2021}

, and each day, he has been dividing

n

2021!

exactly once. One day, when he did this, he discovered that, for the first time,

n

was no longer an integer, but instead a reduced fraction of the form

\frac{a}b

. What is the sum of all distinct prime factors of

b

?
Proposed by Adam Bertelli

Problem Statement