ADDITION TO ‘AN UPPER BOUND FOR THE NUMBER OF ODD MULTIPERFECT NUMBERS’

Publisher: Cambridge University Press

E-ISSN: 1755-1633|89|1|5-7

ISSN: 0004-9727

Source: Bulletin of the Australian Mathematical Society, Vol.89, Iss.1, 2014-02, pp. : 5-7

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Abstract

The main result in the earlier paper (by the first author) is improved as follows. The number of odd multiperfect numbers with at most $r$ distinct prime factors is bounded by ${4}^{{r}^{2} } / {2}^{r+ 2} (r- 1)!$ .