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On Comparing Two Numbers

โœ Scribed by David J. Finney

Book ID
111016931
Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
76 KB
Volume
29
Category
Article
ISSN
0141-982X

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A positive integer m is said to be a practical number if every integer n, with 1 n \_(m), is a sum of distinct positive divisors of m. In this note we prove two conjectures of Margenstern: (i) every even positive integer is a sum of two practical numbers; (ii) there exist infinitely many practical