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Length and denominators of egyptian fractions, III

✍ Scribed by Gérald Tenenbaum; Hisashi Yokota


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
278 KB
Volume
35
Category
Article
ISSN
0022-314X

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Sums of Divisors and Egyptian Fractions
✍ C.N. Friedman 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 470 KB

We discuss the problem of representing a natural number \(n\) as a sum of certain of its distinct positive proper \((\neq n)\) divisors. If this is possible \(n\) is called semiperfect. We present a method which leads in certain cases to a verification that all abundant numbers with prime divisors l