List of largest known primes and probable primes

The list of the largest known prime numbers and probable primes is primarily dominated by Mersenne primes, which are primes of the form \( 2^p - 1 \), where \( p \) is also a prime number. The discovery of large primes is often facilitated by distributed computing projects such as the Great Internet Mersenne Prime Search (GIMPS). Here are some of the largest known primes as of October 2023: ### Largest Known Primes 1.