2,200 Years After its Invention the Sieve of Eratosthenes Is Structured Using a Novel Method

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More than 2,200 years after Eratosthenes of Cyrene invented the prime number sieve, a method has finally been devised to add structure to it. This novel method can be expressed by a very simple recursive formula.

A novel method has been devised to add structure to the sieve of Eratosthenes, expressible by a simple recursive formula. Surprisingly, this new formula can generate not just one, but an infinite number of distinct, yet related, prime structures.

This has many ramifications, one of which is that these superimposed structures make it much easier to investigate primes. The sieve was one of many great ideas of the Greeks in mathematics, but it unfortunately leads to semi-randomness that mathematicians struggled with for centuries.

Leonhard Euler, one of the greatest mathematicians ever, expressed this struggle with: "Till now mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the human mind will never penetrate." This new prime formula replaces the "mystery", as Euler called it, with symmetric structures amenable to analysis.

For an overview of this method and its formula, or for full details on how to use these to investigate prime numbers, visit http://www.primestructure.com.

Contact Information:
Marc Gaudette
(403) 244 - 8430


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Marc Gaudette

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