2^43112609 − 1
Encyclopedia
243112609 − 1 is the largest known Mersenne prime
Mersenne prime
In mathematics, a Mersenne number, named after Marin Mersenne , is a positive integer that is one less than a power of two: M_p=2^p-1.\,...

 and the largest known prime number  with 12,978,189 digits. Its discovery resulted from the Great Internet Mersenne Prime Search
Great Internet Mersenne Prime Search
The Great Internet Mersenne Prime Search is a collaborative project of volunteers who use freely available computer software to search for Mersenne prime numbers. The project was founded by George Woltman, who also wrote the software Prime95 and MPrime for the project...

 (GIMPS), and won its discoverers $100,000 and a Cooperative Computing Award from the Electronic Frontier Foundation
Electronic Frontier Foundation
The Electronic Frontier Foundation is an international non-profit digital rights advocacy and legal organization based in the United States...

 for discovering a prime number of over 10 million digits. Time
Time (magazine)
Time is an American news magazine. A European edition is published from London. Time Europe covers the Middle East, Africa and, since 2003, Latin America. An Asian edition is based in Hong Kong...

called it the 29th top invention of 2008.
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