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# Prime Number Generator

## Random Prime Number Generator

Random Prime Number Generator is a tool created using a computer algorithm and a mathematical process of randomly generating prime numbers. This generator produces prime numbers for various purposes, such as cryptography, number theory research, simulations, randomized algorithms, and fun.

## What is Prime Number?

A prime number is an integer greater than One that has no divisors other than One and itself. In simpler terms, a prime number is a number that cannot be evenly divided by any different number except for One and itself. Here are a few prime numbers, i.e, 2, 3, 5, 7, 11, and 13, because they have no divisors other than One and the number itself.

Additionally, numbers like Four, Six, Eight, Nine, and 10 are not prime numbers because they have divisors other than One and the number itself. For instance, Four can be divided evenly by Two, and Nine can be divided evenly by Three.

Generating random prime numbers is challenging for users because they are relatively scant among all the natural numbers, and there must be a straightforward formula to generate them randomly. However, several techniques and algorithms are commonly used to achieve this:

• Probabilistic Primality Testing
• Sieving Methods
• Random Search and Checking
• Sophie Germain Prime Generation
• Elliptic Curve Primality Proving (ECPP)