Re: A factoring algorithm



>Many algorithms have never seen the light of day because they are not better
>than the current best algorithms at the time. For example, Lenstra once told
>me about an algorithm which would factor any number in a polynomial number
>of arithmetic operations

FYI, that one is in the literature. If you're referring to what I think,
that was published (over two decades ago, I think) and if I recall
correctly it is due to Adi Shamir. I can probably dig up a citation if
you like.

The catch is that the size of the numbers becomes exponentially big,
and consequently the cost, measured in bit operations, is exponential.
.



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