Problem 53009. Easy Sequences 48: Prime Big Omega of Factorial Sequence

Ramon Villamangca

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For an integer n, the prime big omega function, , is defined as the total number of prime factors of n. So, if  , since , therefore .
Given an integer n, write a function that evaluates the following summation:
             
For example for :
            
In this case therefore, the function should return .

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Last Solution submitted on Mar 24, 2026

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