Prime Number
A prime number is a natural number greater than 1 that is only divisible by 1 and itself
A prime number is a natural number greater than 1 that is only divisible by 1 and itself. In other words, it is a number that has no positive divisors other than 1 and itself.
For example, the first few prime numbers are 2, 3, 5, 7, 11, and so on. These numbers are only divisible by 1 and the number itself (e.g., 2 is divisible by 1 and 2, but not by any other number).
Prime numbers have a special importance in mathematics, particularly in number theory. They are the building blocks of all natural numbers, as any natural number greater than 1 can be written as a product of prime numbers (this is known as the fundamental theorem of arithmetic).
Prime numbers have several interesting properties and applications in different areas. For instance, they are used in cryptography to ensure secure communication, as well as in computer algorithms for factorization, primality testing, and generating random numbers.
To determine if a number is prime or not, there are various algorithms available, such as trial division, Sieve of Eratosthenes, and Miller-Rabin primality test.
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