On a density conjecture about unit fractions

arXiv2112.03726MaRDI QIDQ6385018

Thomas F. Bloom

Publication date: 7 December 2021

Abstract: We prove that any set $AsubsetmathbbN$ of positive upper density contains a finite $SsubsetA$ such that $su{m}_{ninS}frac1n=1$, answering a question of ErdH{o}s and Graham.

Has companion code repository: https://github.com/b-mehta/unit-fractions

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