Largest Prime Numbers

Overview

Explore this repository to discover and explore the largest known prime numbers. This collection includes the top 20 primes, calculated using mathematical formulas.

Features

• Prime Calculation: Utilizes mathematical formulas to compute and verify the largest prime numbers.
• Storage: Each prime number is stored in a text file, organized by its rank.
• Accessibility: Easily access and analyze the largest primes for academic or computational purposes.

Formula

The formula used to compute these primes is: Formula: $( M_p = 2^p - 1 )$

Example from Largest Prime Number

$\ P_{82589933} = 2^{82589933} - 1 $

Example of the Largest Prime

An example of a large prime number is $( P_{82589933} )$. This prime was discovered on December 15, 2018, by the Great Internet Mersenne Prime Search (GIMPS) project. It is currently the largest known prime number.

Discovery and GIMPS

The largest known prime number, $( P_{82589933} )$, was discovered by the Great Internet Mersenne Prime Search (GIMPS) project. GIMPS is a collaborative effort that harnesses the computational power of volunteers worldwide to search for Mersenne primes and other large prime numbers.

Repository Content

This repository contains text files for the top 20 largest primes, each named according to its rank for clarity and organization.

Contribution

Contributions are welcome! Fork this repository, make improvements, or suggest additions by submitting a pull request.

License

This project is licensed under the MIT License.