A computational upper bound on Jacobsthal's function

Fintan Costello; Paul Watts

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arXiv · 1208.5342

A computational upper bound on Jacobsthal's function

Fintan Costello·Paul Watts

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Abstract

The function h(k) represents the smallest number m such that every sequence of m consecutive integers contains an integer coprime to the first k primes. We give a new computational method for calculating strong upper bounds on h(k).

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Fintan Costello, Paul Watts. 2012-08-27. A computational upper bound on Jacobsthal's function. https://arxiv.org/abs/1208.5342

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