A Geometric View of the Sieve of Eratosthenes

2011/12/25 by Iosif, Alexandru
#FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.1112.5796

Abstract

We study the geometry of the Sieve of Eratosthenes. We introduce some concepts as Focals and Extremes. We find a symmetry in the distribution of the Focals (all the information about the primes is contained into a small set of numbers). We find that there is a geometric order in the Sieve and we give a formula for the greatest remainder that returns the same quotient.

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