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isPrime
returns true if a positive integer is prime, false otherwise.'isCoprime` returns true if the GCD of two positive integers is 1, false otherwise.
totient
returns the value of Euler's totient function.primeFactors
returns a list of the prime factors of a given positive integer.primeFactorsMultiplicity
returns a list of tuples that relays the multiplicity of the prime factors.goldbachNumbers
returns the pair of prime numbers that sum up to a given even number, i.e. Goldbach's conjecture.goldbachCompositions
returns a list of tuples that, given an upper and lower bound of positive integers, is every even numbers within that bound and their goldbach numbers.This is the draft of the PR. If it is OK so far, then I will write tests for all these functions to complete the PR.
Suggestions welcome.