A Game of Numbers and Codes

Computer Science Level 3

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 $K (n)?$

The answer is 129009091.

1 solution

Hasmik Garyaka
Oct 18, 2017

def sum_of_the_squares_primes_below(n):
    s=0
    for i in range(2,n):
        if prime(i):
              s+=i**2
    return s

def sum_cubes_even(n):
    s=0
    for i in range(2,n,2):
           s+=i**3
    return s

A Game of Numbers and Codes

The answer is 129009091.

1 solution

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