Problem 31 - Determine if an integer is prime.

Problem 32 - Find the greatest common denominator of two positive integers.

Problem 33 - Determine if two integer are coprime.

Problem 34 - Calculate Euler's totient function.

Problem 35 - Find the prime factors of a given positive integer.

Problem 36 - Find the prime factors and their multiplicity of a given positive integer.

Problem 37 - Euler's totient function revisited.

Problem 39 - Generate a list of all primes within a given range of integers.

Problem 40 - Find two primes that sum to a given even integer greater than 3. (Goldbach combinations)

Problem 41 - Find all Goldbach combinations for even integer integers in a given range.

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