![]() They include an HTML page, a graphic, a CSS file and a JavaScript file containing a function to output text to the page, The core file is sieveoferatosthenes.js which I will list and describe below. The files for this project can be downloaded as a zip from the Downloads page, or cloned/downloaded from Github. The algorithm as it stands has some glaring inefficiencies and the Wikipedia article cited above does include some refinements and alternatives. ![]() Repeat 3 and 4 until no subsequent primes are found. ![]() Set p to the next number marked as prime.Mark all multiples of p as composite (ie.Initialize a variable p to 2 (the lowest prime).Create a list of integers from 2 to the highest number you want to check, marking them all as prime.The algorithm is described in full on Wikipedia, and you might like to take a look at the article.Įratosthenes of Cyrene c276 BC to c195/194 BC The best know (and according to Wikipedia still the most widely used) method for identifying them is the Sieve of Eratosthenes, which I will implement here in JavaScript. In modern times their study has intensified greatly due to their usefulness, notably in encryption, and because computers enable them to be calculated to a massively higher level than could be done by hand. Prime numbers have been understood at least since the Ancient Greeks, and possibly since the Ancient Egyptians.
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