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:
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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.