Difference between revisions of "2020 CIME I Problems/Problem 10"

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Revision as of 11:36, 31 August 2020

Problem 10

Let $1=d_1<d_2<\cdots<d_k=n$ be the divisors of a positive integer $n$. Let $S$ be the sum of all positive integers $n$ satisfying \[n=d_1^1+d_2^2+d_3^3+d_4^4.\] Find the remainder when $S$ is divided by $1000$.

Solution

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2020 CIME I (ProblemsAnswer KeyResources)
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Problem 9
Followed by
Problem 11
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