All of the Prime Numbers

It determines whether an input number is a prime number and gives its prime factors if it is not a prime number;
It generate prime numbers between 2 numbers; It generate max prime numbers;
It generate twin prime numbers, cousin prime numbers, sexy prime numbers, and prime triplets.
It gives Goldbach's partition (conjecture) for an even number.
It tests if 2 numbers are co-prime or not. It also gives the GCD (greatest common divisor).
It introduces perfect numbers...