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Largest prime number found with 17 million digits

Last updated on May 15, 2015 By Mohit Arora Leave a Comment

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London: You may have wonder how is such possible or how one can interpret such a long number. But researchers have identified the world’s largest prime number yet, beating the previous record by over four million digits.

Curtis Cooper from the University of Central Missouri in Warrensburg made the finding as part of the Great Internet Mersenne Prime Search (GIMPS), a distributed computing project designed to hunt for a particular kind of prime number first identified in the 17th century, the ‘New Scientist’ reported.

“It’s sort of like finding a diamond,” says Chris Caldwell at the University of Tennessee, Martin, who keeps a record of the largest known primes.

“For some reason people decide they like diamonds and so they have a value. People like these large primes and so they also have a value,” said Caldwell.

In general, a prime number is one which is only divisible by itself and 1, with the first ones being 2, 3, 5, 7 and 11.

One of the other consideration taken into it is that if one wanted to print out the new number, it would eat up 5,319 pages of A4 if you used the Courier New font at 11-point.

The number has now shot up to 2 multiplied by itself 57,885,161 times minus 1, breaking a four-year dry spell in the search for new, ever-larger primes. and if you spent 12 hours a day writing it out at the rate of one digit a second it would take 403 days to complete, the Daily Mail reported.

The rare Mersenne primes all have the form 2 multiplied by itself p times minus 1, where p is itself a prime number.

The new prime, which has over 17 million digits, is only the 48th Mersenne prime ever found and the 14th discovered by GIMPS. The previous record holder, 2 multiplied by itself 43,112,609 times minus 1, which was also found by GIMPS in 2008, has just under 13 million digits.

All the top 10 largest known primes are Mersenne primes discovered by GIMPS. Until today, the most recent addition to the list was found in 2009, but it was smaller than the 2008 discovery.

Though there are an infinite number of primes, there is no formula for generating these numbers, so discovering them requires intensive computation.

GIMPS uses volunteers’ computers to shift through each prime-number candidate in turn, until eventually one lucky user discovers a new prime.

GIMPS software runs on around a thousand university computers, one of which spent 39 days straight proving that the number was prime, which was then independently verified by other researchers.

With the discovery Cooper, has made a hat trick for him. He also found two earlier highest prime numbers.

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Mohit Arora

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Hi, I am Mohit Arora, a passionate blogger and addicted reader. You can check my another blog TutorialsJar where I share programming tutorials.

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