A Refinement of the Function $g(m)$ on Grimm Conjecture

Mathematics – Number Theory

Scientific paper

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The paper has been accepted by THE ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, to appear

Scientific paper

In this paper, we refine the function $g(x)$ on Grimm's conjecture and
improve a result of Erd\"{o}s and Selfridge without using Hall's theorem.

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