Xeon as a worthwhile platform?

Carl Devore devore@math.udel.edu
Fri, 11 Apr 2003 05:35:58 -0400 (EDT)


On 11 Apr 2003, Torbjorn Granlund wrote:
> Consider multiplying two 512-bit numbers.  A 32-bit processor
> will need (512/32)^2 = 256 32-bit multiply instructions to form
> the product.  A 64-bit processor will need just (512/64)^2 = 64
> 64-bit multiply instructions.

At what length do faster-than-O(n^2) multiples kick in?