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Miller-Rabin and false negatives...

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yawnmoth...
Posted: Sat Oct 24, 2009 4:26 am
Guest
correct me if I'm wrong, but it seems like the only error the Miller-
Rabin primality testing algorithm is capable of generating are false
positives (flaggin a number as prime when it's really composite)?
That false negatives (flagging a number as composite when it's really
prime) are not possible?
 
Tom St Denis...
Posted: Sat Oct 24, 2009 4:41 am
Guest
On Oct 24, 10:26 am, yawnmoth <terra1... at (no spam) yahoo.com> wrote:
[quote]correct me if I'm wrong, but it seems like the only error the Miller-
Rabin primality testing algorithm is capable of generating are false
positives (flaggin a number as prime when it's really composite)?
That false negatives (flagging a number as composite when it's really
prime) are not possible?
[/quote]
Yes, because what you'd end up with is a number that isn't congruent
to 1 or -1 being squared to 1.

Tom
 
 
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