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