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Odd perfect numbers. (English) Zbl 0956.11004
The author proves that every odd perfect number must be of the form \(p^{4\alpha +1}\cdot \frac {p(p^{4\alpha +1})}2\cdot d\), where \(d>1\) and \(\sigma \) is the sum of divisors.
MSC:
11A25 Arithmetic functions; related numbers; inversion formulas
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References:
[1] REDMOND D.: Number Theory: An Introduction. Monographs Textbooks Pure Appl. Math. 201, Marcel Dekker, Inc, New York, 1996. · Zbl 0847.11001
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