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arxiv: 1208.5342 · v2 · pith:4UYMRBUMnew · submitted 2012-08-27 · 🧮 math.NT

A computational upper bound on Jacobsthal's function

classification 🧮 math.NT
keywords computationalfunctionupperboundboundscalculatingconsecutivecontains
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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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