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 Solvers5
Suggested Problems
-
Remove all the words that end with "ain"
2712 Solvers
-
Convert given decimal number to binary number.
2353 Solvers
-
1766 Solvers
-
Given a square and a circle, please decide whether the square covers more area.
1860 Solvers
-
Characterize the final state of the digit inventory sequence
20 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.