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, 
.
, 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:
the function output should be , since:
Solution Stats
Problem Comments
2 Comments
Solution Comments
Show comments
Loading...
Problem Recent Solvers4
Suggested Problems
-
Return the largest number that is adjacent to a zero
5517 Solvers
-
Remove the polynomials that have positive real elements of their roots.
1740 Solvers
-
What gear ratio does the cyclist need?
161 Solvers
-
Replace pattern 0 1 0 and 1 0 1
159 Solvers
-
124 Solvers
More from this Author116
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!
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.
Thanks, William.