The set of natural numbers is an infinite collection of positive integers that begins with one and continues endlessly in the positive direction. This implies that the set comprises the numbers 1, 2, 3, 4, 5, 6, 7, and so on. A prime number is a positive integer greater than one with two distinct positive divisors: 1 and the number itself. However, a prime integer may alone be divided without a remainder by one and itself. Prime numbers, such as 2, 3, 5, 7, 11, 13, and so forth, serve as examples. Prime numbers hold great importance in the fields of number theory and cryptography. Now, let's talk about composite numbers. Imagine a number like a social butterfly, always surrounded by friends. A composite number is a natural number with more than two positive divisors. In simpler terms, a composite number is divisible by at least one number other than one and itself. For instance, 4, 6, 8, 9, 10, 12, and others, are all composite numbers. Prime numbers are distinguished from composite numbers because prime numbers have exactly two divisors, whereas composite numbers have more than two divisors