Thursday, 12 April 2018
Monday, 9 April 2018
Largest known prime number
Largest known prime number
discovered with over 23 million digits
Discovery made on computer
belonging to electrical engineer who searched for the elusive number for
14 years
A collaborative computational
effort has uncovered the longest known prime number.
At over 23 million digits long,
the new number has been given the name M77232917 for short.
Prime
numbers are divisible only by themselves and one, and the search
for ever-larger primes has long occupied maths enthusiasts.
However, the search requires
complicated computer software and collaboration as the numbers get
increasingly hard to find.
M77232917 was discovered on a computer
belonging to Jonathan Pace, an electrical engineer from Tennessee who has been
searching for big primes for 14 years.
Mr Pace discovered the new
number as part of the Great Internet Mersenne Prime Search (GIMPS), a project
started in 1996 to hunt for these massive numbers.
Mersenne primes – named after
the 17th century French monk Marin Mersenne who studied them – are calculated
by multiplying together many twos and then subtracting one.
Six days of non-stop computing
in which 77,232,917 twos were multiplied together resulted in the latest
discovery.
The number is the 50th Mersenne
prime to be discovered, and the 16th to be discovered by the GIMPS project.
It is nearly one million digits
longer than the previous record holder, which was identified as part of the
same project at the beginning of 2016.
Mersenne primes are a
particular focus for prime aficionados because there is a relatively
straightforward way to check whether a number is one or not.
Nevertheless, the new prime has
to be verified using four different computer programs on four different
computers.
The process also relies on
thousands of volunteers sifting through millions of non-prime candidates before
the lucky individual chances upon their target.
“I’m
very surprised it was found this quickly; we expected it to take longer,”
Professor Chris Caldwell, a mathematician at the University of Tennessee at
Martin told The
Guardian.
Professor Caldwell runs an
authoritative website on the largest prime numbers, with a focus on the history
of Mersenne primes.
He emphasised the pure
excitement that searching for prime numbers brings, describing the latest
discovery as “a museum piece as opposed to something that industry would use”.
Besides the thrill of
discovery, Mr Pace will receive a $3,000 (£2,211) GIMPS research discovery
award.
GIMPS uses the power of
thousands of ordinary computers to search for elusive primes, and the team
behind it state that anybody with a reasonably powerful PC can download the
necessary software and become a “big prime hunter”.
The next Mersenne prime
discovery could be smaller or larger than the existing record holder, but the
big target for the GIMPS team is to find a 100 million digit prime number.
The person who discovers such a
number will be awarded $150,000 by the Electronic Frontier Foundation for
their efforts.
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