A Geometric View of the Sieve of Eratosthenes

Details A Geometric View of the Sieve of Eratosthenes A Geometric View of the Sieve of Eratosthenes

2011-12-25

arxiv.org/abs/1112.5796v4

Mathematics

General Mathematics

Some new parts, images, proofs, theorems, 12 pages, 4 figures

Scientific paper

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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