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2020 AIME II Problems/Problem 10

Revision as of 14:08, 7 June 2020 by CoolCarsOnTheRun (talk | contribs) (Created page with "=Problem= Find the sum of all positive integers <math>n</math> such that when <math>1^3+2^3+3^3+\cdots +n^3</math> is divided by <math>n+5</math>, the remainder is <math>17</m...")
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Problem

Find the sum of all positive integers $n$ such that when $1^3+2^3+3^3+\cdots +n^3$ is divided by $n+5$, the remainder is $17$.

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