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## Project discovered Mersenne prime with 22 million digits

Jan

21

2016

A university computer managed by Curtis Cooper discovered the forty-ninth Mersenne prime. The number 2 is made up of 22,338,618 74,207,281 -1 figures. The new prime is nearly five million digits larger than the previous largest prime number.

A Mersenne prime is a prime number-which is exactly one less than the power of two, or 2 n – 1. The n-numbers for Mersenne primes as to form with it are 2, 3, 5, 7, respectively, where 3, 7, 31 and hatch 127. The new, using software from the Great Internet Mersenne Prime Search project discovered new figure is also the largest known prime number. This is the fourth time that Curtis Cooper with a university computer at the University of Central Missouri in the United States a Mersenne prime. The other three primes he did in 2005, 2006 and 2013. It is not known whether there between the 44th and the 49th Mersenne prime number is one. The 29th number was found for example, after the discovery of the 30th and the 31st.

The new Mersenne prime was discovered on September 17, 2015, but no one noticed it before January 7, 2016. Obtaining the song took 31 days of non-stop counting on a PC with an Intel i7-4790 CPU. To verify if the number is correct, conducted two other calculation again using Nvidia GPUs with Titan Black-CudaLucas software. the cost in this case, “only” 2.3 days to verify the number. With an AMD GPU with Fury X ClLucas took 3.5 days. Another verification was done with MLucas software on two Intel Xeons with 18 cores on an Amazon EC2 server in 3.5 days. Recently, there was a bug in Intel processors Skylake to light by the program Prime95 run as the No. 14942209 is tested. Prime95 is the Mersenne Resarch Group and is used in the GIMPS project.

To find praises Gimps a reward of $ 3000 off. An object of Gimps is to find a Mersenne prime number-of more than 100 million digits. Before that, the Electronic Frontier Foundation $ 150,000 available.

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