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

Revision as of 11:32, 5 September 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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 ==Solution==
-the only such positive integer is <math>288</math> i put <math>288</math> confirmed?
+{{solution}}
 ==See also==

2020 CIME I (Problems • Answer Key • Resources)
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Difference between revisions of "2020 CIME I Problems/Problem 10"

Revision as of 11:32, 5 September 2020

Problem 10

Solution

See also