The largest known first number has nearly 25 million digits



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Mathematicians, Professionals and Fans in a Global Research Project – The Great Internet Mersenne Prime Search (GIMPS) – Discovered the Biggest Cousin Known To Date . Mersenne Prime Search (GIMPS) discovered the highest prime number known to date: abbreviated as 2 82,589,933 -1, the number contains 24,862,048 more than 39; one and a half million digits higher than the previous record prime number discovered in 2017.

This number belongs to a special clbad of rare prime numbers, called Mersenne cousins, and is only the [51459008] the 51st cousin of Mersenne already discovered

According to Sci-News, the newly discovered prime number was baptized M82589933 and was discovered when calculating two out of 82,589,933, subtracting a .

A cousin of Mersenne is a prime number of form 2 P -1. As numbers grow, prime numbers – a number divisible by 1 and by itself – become more and more difficult to find .

As they become more and more distant and distant there is no distribution model, it is not possible to use an algorithm to know these numbers.

The first cousins ​​of Mersenne are 3, 7, 31 and 127, which corresponds to P = 2, 3, 4, 5, 6, 5 and 7, respectively. Mersenne's cousins ​​have been at the heart of number theory since they were first discussed by the Greek mathematician Euclid around 350 BC. J.-C.

The man whose name has its origin, the French monk Marin Mersenne (1588-1648), made a famous conjecture on which the values ​​of P would give a cousin.

In this way, Euclid proved that each Mersenne cousin generates a perfect number – a number whose proper divisors add up to the number itself. For example, the smallest perfect number is 6 = 1 + 2 + 3 and the second perfect number is 28 = 1 + 2 + 4 + 7 + 14.

Swiss mathematician Leonhard Euler (1707-1783), at their turn, all the perfect numbers come from Mersenne's cousins. The newly discovered perfect number is 2 82 589 932 * (2 82 589 933 -1) A number that has more than 49 million digits.


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