Jacobsthal's function and a short proof of the density of a set in the unit hypercube

Details Jacobsthal's function and a short proof of the density of a set in the unit hypercube Jacobsthal's function and a short proof of the density of a set in the unit hypercube

2007-02-22

arxiv.org/abs/math/0702673v1

Mathematics

Number Theory

Scientific paper

We use an upper bound on Jacobsthal's function to complete a proof of a known
density result. Apart from the bound on Jacobsthal's function used here, the
proof we are completing uses only elementary methods and Dirichlet's theorem on
the infinitude of primes in arithmetic progressions.

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