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Searchers capture a champion megaprime. (Science News of the week).


A participant in the Great Internet Mersenne Prime Search The Great Internet Mersenne Prime Search, or GIMPS, is a collaborative project of volunteers, who use Prime95 and MPrime, special software that can be downloaded from the Internet for free, in order to search for Mersenne prime numbers.  (GIMPS GIMPS Great Internet Mersenne Prime Search
GIMPS General Internet Messaging Protocol for Signaling
) has identified the largest prime number yet. When printed out, its digits would fill more than 450 pages of SCIENCE NEWS.

Discovered by 20-year-old Michael Cameron Michael Cameron may refer to:
  • Michael Cameron, a GIMPS participant who discovered a Mersenne prime
  • Mike Cameron, a baseball player
 of Owen Sound, Ontario Coordinates:

Owen Sound (2006 City population 21,753; UA Population 22,649; CA Population 32, 259), the county seat of Grey County, is a city in south-western Ontario,
, the new champion prime is [2.sup.13,466,917] - 1, which runs to 4,053,946 decimal digits.

A prime is a whole number evenly divisible DIVISIBLE. The susceptibility of being divided.
     2. A contract cannot, in general, be divided in such a manner that an action may be brought, or a right accrue, on a part of it. 2 Penna. R. 454.
 by only itself and 1. Cameron's number belongs to a special class of extremely rare primes named after 17th-century mathematician Marin Mersenne For the primes named after Marin Mersenne, see .
Marin Mersenne, Marin Mersennus or le Père Mersenne (September 8, 1588 – September 1, 1648) was a French theologian, philosopher, mathematician and music theorist, often referred to as the "father of
.

A Mersenne number can be expressed in the form [2.sup.p] - 1, where the exponent p is a prime. Only a handful of these numbers are also themselves prime. The new record holder is just the 39th known Mersenne prime A Mersenne prime is a Mersenne number that is a prime number.

In mathematics, a Mersenne number is a number that is one less than a power of two,
.

Cameron discovered the record-setting prime using software written by George Woltman, a retired computer programmer in Orlando, Fla. Woltman started the GIMPS project in 1996. By downloading software available at www.mersenne.org to their home or office computers, GIMPS volunteers can test Mersenne numbers for primality whenever their machines are otherwise idle.

Cameron's desktop computer ran part-time for 45 days to prove that the Mersenne number, [2.sup.13,466,917] - 1, is prime. Independent verification of the discovery, completed last week, required 3 weeks on a powerful workstation.

The GIMPS effort relies on networking software developed by Scott Kurowski of Entropia, a computing-technology company in San Diego. His PrimeNet computer system distributes work to, and gathers results from, more than 200,000 computers scattered throughout the world. The GIMPS project has helped catalyze the development of such systems for handling massive amounts of data processing over the Internet (SN: 3/4/00, p. 152).

Mersenne primes themselves are of interest to computational number theorists, who pursue such basic questions as the distribution of primes among all whole numbers. Volunteers haven't yet tested every Mersenne number smaller than the current champion, so another Mersenne prime may yet lurk among the untested numbers.

"There are more primes out there," Woltman says, "and anyone with a reasonably powerful personal computer can join GIMPS and become a big prime hunter."
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No portion of this article can be reproduced without the express written permission from the copyright holder.
Copyright 2001, Gale Group. All rights reserved. Gale Group is a Thomson Corporation Company.

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Title Annotation:Canadian discovers largest prime number, which is also a Mersenne prime
Author:Peterson, I.
Publication:Science News
Article Type:Brief Article
Geographic Code:1CANA
Date:Dec 15, 2001
Words:358
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