Talk:Sieve theory

B******t

This article is opinionated smalltalk, the only actual information offered is links to other pages. I was interested in the fundamentals of sieving algorithms, not for prime generation per se, for compiling sets in general.

^[1] This makes no sence, what error terms? Which obstacles?

^[2] Very intricate and delicate? what? i'm writing a sieving algorithm, what does delicate even mean? This is the "Technique" section, show me technique.

Image

...is the image really helpful? Twin Bird (talk) 07:54, 2 June 2018 (UTC)[reply]

I don't think so. Removed it. Kranix (talk | contribs) 19:53, 11 August 2019 (UTC)[reply]

^ The direct attack on prime numbers using these methods soon reaches apparently insuperable obstacles, in the way of the accumulation of error terms.
^ Compared with other methods in number theory, sieve theory is comparatively elementary, in the sense that it does not necessarily require sophisticated concepts from either algebraic number theory or analytic number theory. Nevertheless, the more advanced sieves can still get very intricate and delicate (especially when combined with other deep techniques in number theory), and entire textbooks have been devoted to this single subfield of number theory; a classic reference is (Halberstam & Richert 1974) and a more modern text is (Iwaniec & Friedlander 2010).

[1] The direct attack on prime numbers using these methods soon reaches apparently insuperable obstacles, in the way of the accumulation of error terms.

[2] Compared with other methods in number theory, sieve theory is comparatively elementary, in the sense that it does not necessarily require sophisticated concepts from either algebraic number theory or analytic number theory. Nevertheless, the more advanced sieves can still get very intricate and delicate (especially when combined with other deep techniques in number theory), and entire textbooks have been devoted to this single subfield of number theory; a classic reference is (Halberstam & Richert 1974) and a more modern text is (Iwaniec & Friedlander 2010).

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