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Algorithm to test primality

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Professor Manindra Agrawal and his students, Neeraj Kayal and Nitin Saxena,

have discovered a polynomial time deterministic algorithm (an algorithm

that is efficient in terms of the time it takes to compute) to test if

a given number is a prime number.

 

One of the fundamental problems, however, is to efficiently determine

if a given number is a prime number. Many approaches, including

sophisticated techniques from mathematics, have been tried, but

none had succeeded until now.

 

"The usual method we learn in school," says Agarwal, "if used on large

numbers (say with 100 digits) will take more time than the age of the

universe, even if we use the fastest computers currently available."

 

http://www.cse.iitk.ac.in/news/primality.html

 

The algorithm is available on the IIT Kanpur Web site at

www.cse.iitk.ac.in/news/primality.pdf

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