> Referring to the work, recently in the news, of Mssrs. Manindra
> Agrawal, Neeraj Kayal and Nitin Saxena.

This is the same work to which Jens Pfeiffer referred in a
Wed, 7 Aug 2002 17:37:27 +0200 posting with subject
"Mersenne: find primes in polynomial time?"

Parallelling Paul Leyland's response then:

The Lucas-Lehmer primality testing algorithm in GIMPS software is
restricted to only a very special form of prime, 2^p - 1.  In contrast,
the new AKS algorithm applies to _all_ primes.

On primes of the form 2^p -1, the Lucas-Lehmer test in GIMPS software
is *MUCH, MUCH* faster than the new AKS algorithm.  However, the new
AKS algorithm will work on other forms of primes to which the
Lucas-Lehmer test is not applicable.

Richard Woods

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