At 06:11 PM 12/4/2001 +0000, [EMAIL PROTECTED] wrote:
>Sure. Not quite the same since there appears to be no certificate of
>primality, but on 30 Aug 2001 there was a message on this list to
>the effect that M727 (c219) = prp98.prp128.

Does anyone know how much CPU time was spent?


>So much ECM work
>was done on M727 (before the NFS people started work) that it is
>highly unlikely that there are any factors < 10^50, which means
>that at least the 98-digit probable prime is almost certainly a
>genuine prime. (Maybe that's been proved by now. ECPP on
>general numbers of around 100 digits isn't very expensive.)

Especially when one uses Primo, which makes numbers of even a thousand 
digits take perhaps an afternoon on my machine.  I doubt very strongly I'm 
the first, but just for reference:

http://www.mail-archive.com/mersenne@base.com/msg06304.html
http://www.acsu.buffalo.edu/~nrussell/M727.zip

Nathan

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