Problem 53760. Easy Sequences 62: Sum of Omega-3 Function

Created by Ramon Villamangca

Solve Later

For an integer n, the prime big omega function, , is defined as the total number of prime factors of n. If  , since , therefore . The omega-3 function (), is defined as raising 3 to the power of the prime big omega of n, i.e. . In the example above, .
Given an integer n, write a function that returns the sum of omega-3's of all integers from 1 to n. For example for  the function output should be , since:
             

Solve

Solution Stats

5 Solutions
3 Solvers

Last Solution submitted on Aug 26, 2023

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

William on 7 Jan 2022

Ramon, you might want to make a small correction to the last formula in the description, though it makes no difference to the problem. The "product" symbol was probably meant to be a "summation" symbol.

Ramon Villamangca on 8 Jan 2022

Thanks, William.

Solution Comments

Show comments

Problem Recent Solvers3

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 53760. Easy Sequences 62: Sum of Omega-3 Function

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers3

Suggested Problems

More from this Author116

Problem Tags

Community Treasure Hunt

Problem 53760. Easy Sequences 62: Sum of Omega-3 Function

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers3

Suggested Problems

More from this Author116

Problem Tags

Community Treasure Hunt

Players