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Source
Deccan Herald
Date
2005-04-04
Information
An eye surgeon in Germany has discovered the worlds largest known prime number or at least his computer did.
The surgeon, Dr. Martin Nowak of Michelfeld, is among thousands of participants in the Great Internet Mersenne Prime Search, one of several big projects that tap idle computers worldwide.
Last month, Nowaks Pentium 4 computer concluded that a number it had been crunching on for more than 50 days was indeed prime, with only two integer divisors, 1 and itself.
A different computer using different software verified the result.
The number, rendered in exponential shorthand, is 225,964,951-1. It has 7,816,230 digits, and if printed in its entirety, would fill 235 newspaper pages.
Mersenne Primes
In addition, it falls in a rare category of primes known as Mersenne primes, which can be written as 2n-1 where n is also prime.
The first few Mersenne primes are easily verifiable inserting 2, 3 and 5 for n produces 3, 7 and 31, all prime but the math quickly becomes overwhelming for larger values.
In 1644, Marin Mersenne, a French monk, published a list of 11 prime numbers the highest being 257 for which he asserted that 2n-1 was also prime.
That list was not fully checked until 1947, three centuries later. Mersenne turned out to be wrong about two numbers on his list and had missed three others, but his name still remains attached to the concept. Even with computers to speed up the search, Nowaks number is still only the 42nd Mersenne prime to be found.
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Source
Deccan Herald
Date
2005-04-04
Information
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