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On a conjecture of Kátai concerning weakly composite numbers


Author: Janos Galambos
Journal: Proc. Amer. Math. Soc. 96 (1986), 215-216
MSC: Primary 11A25; Secondary 11N37
DOI: https://doi.org/10.1090/S0002-9939-1986-0818446-9
MathSciNet review: 818446
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Abstract: A number is called weakly composite if the sum of the reciprocals of its prime divisors is bounded by two. In this note it is proved that, for $ n \geqslant {n_0}$, there is a weakly composite number between $ n$ and $ n + \log \log \log n$.


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DOI: https://doi.org/10.1090/S0002-9939-1986-0818446-9
Article copyright: © Copyright 1986 American Mathematical Society

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