deterministic primality test
Dan Riley
dsr at mail.lns.cornell.edu
Thu Aug 8 13:56:49 EDT 2002
"Joseph Ashwood" <ashwood at msn.com> writes:
> I have my doubts about the thoroughness of the examination of this
> algorithm. From Page 4 (any inconsistencies are due to my typing):
> Input: integer n > 1
[...]
> So it fails to be executable on the second prime. I haven't done an in depth
> analysis of the algorithm beyond this. It is entirely possible that it only
> needs the small revision from:
> Input: integer n > 1
> to
> Input: integer n > 3
> but regardless the algorithm as it stands fails a basic test.
The proof of lemma 4.2, which asserts the existence of a suitable r,
is only valid "for large enough n". 3 is certainly too small. I am
curious how large n does have to be--my guess would be that the
minimum is far too large for calculation by hand to be practical.
I do find it curious that they don't mention having implemented the
algorithm, but that could be normal for number theory papers for all I
know.
--
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sufficient reason for banning it. [...] The right to think is the
beginning of freedom, and speech must be protected from the government
because speech is the beginning of thought." --Anthony Kennedy
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