[picture from Wikipedia - copyright Just H, creative commons license]
Here is a link to Eric Landquist's paper on the NFS:
http://www.math.uiuc.edu/~landquis/nfsieve.pdf
Quote from the above:
"At least one author [17] believes that there
are faster methods out there. It’s my life-long dream to find one. I also
hope to see the Red Sox win a World Series."
Well, the Red Sox have won _two_ World Series since the paper was published (2002) - though personally I am an Astros fan! :)
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