Talk:Sieve of Eratosthenes: Difference between revisions

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... Except that the above Java code isn't a ''Sieve of Eratosthenes''.   A ''SoE'' algorithm doesn't '''TEST''' for primality, it ''just'' removes all composites (and sometimes unity);   what's left is a (somehow marked/indicated) list/array of primes [up to the (original) highest element in the list/array of integers]. -- [[User:Gerard Schildberger|Gerard Schildberger]] ([[User talk:Gerard Schildberger|talk]]) 22:50, 7 October 2013 (UTC)
 
... Hmm, I'm not sure. If by primality check you mean the line "if(isPrime[i])" then it is doing the same work of the posted code's "nums.remove()" (finding the next valid prime to begin marking, it is not a method merely a reference to the array) only much more efficiently. Also my code is much truer to the algorithm (in terms of algorithmic description, pseudocode, end representation (having a marked list of values and a separate list of collected primes by the end of the run) and performance) as described in [http://en.wikipedia.org/wiki/Sieve_of_eratosthenes Wikipedia - Sieve of Eratosthenes] than the posted code. I don't know where you got the requirement that composites must be removed, the original algorithm merely states they must be '''marked iteratively'''.
--[[User:Xelamitchell|xelamitchell]] 10:22, 8 October 2013 (UTC)