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To: Boiler Plate

The article presumes
that the extra knowledge
that would enable us to prove the R.H.
also would enable us to factor composite numbers.

Not unreasonable, but not established.


171 posted on 04/12/2006 9:15:53 PM PDT by Allan (*-O)):~{>)
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To: Allan
Not unreasonable, but not established.

I don't even think it's that reasonable. The RH (and GRH and ERH) are analytical or statistical statements, and lead to conclusions like "there must be a prime in this interval", or "there must be a quadratic non residue in that interval mod N", and so on and so forth.

I'd love to see a really fast factoring algorithm, but I just don't see how proving the RH or any of its variants is likely to lead to it.

173 posted on 04/12/2006 9:51:39 PM PDT by Virginia-American
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