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UCLA group discovers humongous prime number

Sun Sep 28, 11:02 AM ET

Mathematicians at UCLA have discovered a 13 million-digit prime number, a

long-sought milestone that makes them eligible for a $100,000 prize.

The group found the 46th known Mersenne prime last month on a network of 75

computers running Windows XP. The number was verified by a different computer

system running a different algorithm.

"We're delighted," said UCLA's Edson Smith, the leader of the effort. "Now

we're looking for the next one, despite the odds."

It's the eighth Mersenne prime discovered at UCLA.

Primes are numbers like three, seven and 11 that are divisible by only two

whole positive numbers: themselves and one.

Mersenne primes named for their discoverer, 17th century French mathematician

Marin Mersenne are expressed as 2P-1, or two to the power of "P" minus one. P

is itself a prime number. For the new prime, P is 43,112,609.

Thousands of people around the world have been participating in the Great

Internet Mersenne Prime Search, or GIMPS, a cooperative system in which

underused computing power is harnessed to perform the calculations needed to

find and verify Mersenne primes.

The $100,000 prize is being offered by the Electronic Frontier Foundation for

finding the first Mersenne prime with more than 10 million digits. The

foundation supports individual rights on the Internet and set up the prime

number prize to promote cooperative computing using the Web.

The prize could be awarded when the new prime is published, probably next year.