20070215, 15:32  #1 
(loop (#_fork))
Feb 2006
Cambridge, England
2^{2}×1,613 Posts 
Wikipedia article on SNFS
I've tried to tidy this up a bit (the original version suggested that SNFS polynomials could be found for arbitrary numbers, which I felt needed correcting), but it still reads as if it's been written by someone profoundly ignorant of the SNFS; can I convince one of the gurus here to have a look and tell me what I've missed out?
I suppose the right answer is to have a single entry for 'number field sieve', and the SNFS article to concentrate on listing classes of number which have SNFS polynomials for nonobvious reasons, but I don't know how to convince wikipedia to do that sort of refactoring. http://en.wikipedia.org/wiki/Special_number_field_sieve 
20070215, 16:01  #2  
Nov 2003
2^{2}×5×373 Posts 
Quote:
SNFS applies to *any* numbers that can be represented as a polynomial with small coefficients. It need not be limited to just the forms listed in the article. However, trying to list all possibilties seems too daunting a task. 

20070215, 17:52  #3 
Oct 2006
vomit_frame_pointer
101101000_{2} Posts 
Even with its flaws, which I'm not qualified to correct, that's one of Wikipedia's better articles. The link to the article on the rational sieve is the best closetolaymanlevel illustration of what is really going on with NFS.

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