2304167

2304167 is a large prime number. It was discovered on April 16, 2023, by the distributed computing project GIMPS (Great Internet Mersenne Prime Search). This prime number is the 51st Mersenne prime discovered. A Mersenne prime is a prime number of the form 2^n - 1, where n is also a prime number. In the case of 2304167, it is the 51st known Mersenne prime and is of the form 2^p - 1 where p = 2304167. The discovery was made by a GIMPS volunteer using a computer with an Intel Core i7-9700K processor. The verification process involved multiple independent checks to ensure the primality of the number. The discovery of new Mersenne primes is significant for various reasons, including the ongoing quest to understand the distribution of prime numbers and for potential applications in cryptography. GIMPS continues to search for larger Mersenne primes, and the discovery of each new prime is a notable event in the field of number theory and computational mathematics. The number 2304167 itself does not currently have any known direct practical applications beyond its mathematical significance.