A new Mersenne prime being found

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In summary, a new Mersenne prime, $$2^{82589933}-1$$, has been discovered by GIMPS. This is the 51st Mersenne prime to be found by men and currently the largest prime number with 24,862,048 digits. The prime was discovered by a computer volunteered by Patrick Laroche through the use of free GIMPS software.
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A couple days ago, a new Mersenne prime,
$$2^{82589933}-1$$ has being found by GIMPS. It’s the number 51st Mersenne prime being found by men.

Link to GIMPS’s website:
https://www.mersenne.org/primes/?press=M82589933

Edit: According to my calculations using common logarithm, this number should be 24862048 digits long.
 
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Young physicist said:
A couple days ago, a new Mersenne prime,
$$2^{82589933}-1$$ has being found by GIMPS. It’s the number 51st Mersenne prime being found by men.

Link to GIMPS’s website:
https://www.mersenne.org/primes/?press=M82589933


Edit: According to my calculations using common logarithm, this number should be 24862048 digits long.
Well, since that is stated in the first sentence of the article, you're probably right.

BLOWING ROCK, NC, December 21, 2018 -- The Great Internet Mersenne Prime Search (GIMPS) has discovered the largest known prime number, 282,589,933-1, having 24,862,048 digits. A computer volunteered by Patrick Laroche made the find on December 7, 2018. Patrick is one of thousands of volunteers using free GIMPS software available at www.mersenne.org/download/.
 
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Young physicist said:
It’s the number 51st Mersenne prime being found by men.
It is also the largest prime found so far.
 
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1. What is a Mersenne prime?

A Mersenne prime is a prime number that is one less than a power of two. In other words, it is a prime number of the form 2^n - 1, where n is a positive integer. These numbers are named after the French monk and mathematician Marin Mersenne, who studied them extensively in the 17th century.

2. How many Mersenne primes have been discovered so far?

As of 2021, a total of 51 Mersenne primes have been discovered. The largest known Mersenne prime has over 24 million digits and was discovered in December 2018.

3. How are new Mersenne primes found?

The most common method for finding new Mersenne primes is through the use of distributed computing projects, such as the Great Internet Mersenne Prime Search (GIMPS). These projects use the computing power of volunteers all around the world to search for Mersenne primes.

4. What is the significance of finding a new Mersenne prime?

Finding a new Mersenne prime is significant because these numbers have unique properties and are also extremely rare. They have been studied for centuries and have applications in fields such as cryptography and computer science. Additionally, the discovery of a new Mersenne prime can also lead to new insights and discoveries in mathematics.

5. What is the process for verifying a new Mersenne prime?

Once a potential Mersenne prime is identified, it must go through a rigorous verification process before it is officially recognized as a new Mersenne prime. This involves multiple independent checks and tests using specialized software and algorithms. The verification process can take several months to complete.

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