Problem 52978. Easy Sequences 44: Finding the Smallest Number whose Cube is divisible by a Factorial

Given a integer n, our goal is to find the smallest integer k, such that divides .
For example, for , , because , (since ), and is the smallest number that has this property. Please present the value of k in modulo (a prime number).
Solve

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66.67% Correct | 33.33% Incorrect
Last Solution submitted on Mar 19, 2023

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