MathDB
2022 PUMaC Team #8

Source:

September 9, 2023
number theory

Problem Statement

Ryan Alweiss storms into the Fine Hall common room with a gigantic eraser and erases all integers nn in the interval [2,728][2, 728] such that 3t3^t doesn’t divide n!n!, where t=⌈n−32⌉t = \left\lceil \frac{n-3}{2} \right\rceil. Find the sum of the leftover integers in that interval modulo 10001000.
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