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Researchers set prime-number record

Largest known prime has more than 9.1 million digits

updated 10:50 p.m. ET Jan. 3, 2006

KANSAS CITY, Mo. - Researchers at a Missouri university say they have identified the largest known prime number.

The team at Central Missouri State University, led by associate dean Steven Boone and mathematics professor Curtis Cooper, found it in mid-December after programming 700 computers years ago.

A prime number is a positive number divisible by only itself and 1 — 2, 3, 5, 7 and so on.

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The number that the team found is 9,152,052 digits long. It is a Mersenne prime known as M30402457 — that’s 2 to the 30,402,457th power minus 1.

Mersenne primes are a special category expressed as 2 to the “p” power minus 1, in which “p” also is a prime number.

“We’re super excited,” said Boone, a chemistry professor. “We’ve been looking for such a number for a long time.”

The discovery is affiliated with the Great Internet Mersenne Prime Search, a global contest using volunteers who run software that searches for the largest Mersenne prime. There's an infinite number of prime numbers — but the trick lies in confirming that an incredibly large number cannot be factored into smaller numbers.

© 2008 The Associated Press. All rights reserved. This material may not be published, broadcast, rewritten or redistributed.

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