# A Game of Numbers and Codes

Computer Science Level pending

Let $$K (n)$$ equal the sum of the squares of all primes below $$n$$, and let $$S (n)$$ equal the sum of the cubes of all even numbers below $$n$$.

If the value of $$n$$ is the square-root of the sum of all non-negative perfect cube-root numbers below one-hundred, what is the value of $$3^x-2^x$$, where $$x$$ is the remainder when $$S (n)$$ is divided by $$K (n)?$$

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