For many years before the advent of the digital age, the largest known prime number was **2 ^{127-1}**, requiring

**39 digits**to express it. With the help of computers, since

**1952**, the record has been beaten many times.

The largest prime found to date is **2**^{74,207,281}** – 1** which equals the Mersenne number **_{74,207,281 }** and was obtained in the collaborative project

**GIMPS**(Great Internet Mersenne Prime Search) by the Dr.

**Curtis Cooper**in the University of

**Missouri**at

**2016**January 1. The number has a total of

**17.425.170**decimal

**digits**.

The large prime study is based on the expression **Mp=****2**** ^{p} – 1**. The numerical values ??of this expression when p is a natural number called Mersenne numbers, since this mathematical wrote the first terms of this sequence that are primes.

These numbers have been obtained mostly with programs running **primality tests** like **Lucas-Lehmer** with big numbers and are developed by such organizations.

In **2008** the reward for discovering a prime number of **22 million** digits was **100.000$.**

The next reward of the **EFF** (Electronic Frontier Foundation) to discover a new prime with with at least **100 millons** of digits is about **150.000$.**

**The 3 largest known primes**:

**2**^{74,207,281}**– 1**(2016-01-07)

**2**^{57,885,161}**– 1**(2013-01-25)

**2**^{43,112,609}**– 1**(2008-08-23)

All exceed the **10 million** barrier and all were discovered by the **GIMPS** Organization.

Can you be the next to find the largest prime number?