Well to be honest I do not have a clue on how to solve this problem. I was given it in a math olympiad but it was too hard for me.Where did you get that sum? It doesn't seem quite big enough to me, since 2020^2020 alone is about 6.45*10^6676.
(By the way, I don't have an answer to the question yet, myself.)
@k1x, please tell us what you have learned about divisibility that might be relevant to the problem.
I biffed big time on this one. I think that I switched my powers around.
Let us try again.
What you have is x^2020 as a constant since you are summing up over n. I suspect that n=x but you did not say this nor did you need two variables.[MATH]\sum _{n=1}^{2020} x^{2020}[/MATH]
See what you can do from there.
Is that right, Dr. Peterson?