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DOI: Perfect numbers and their formula. Euclid and Euler’s approach. Do odd perfect number exist?
Tilagova Buvgilos , Teacher, Jizzakh State pedagogical university academic lyceum, Uzbekistan Ibroxim Sattarov , Student, Jizzakh State pedagogical university academic lyceum, UzbekistanAbstract
Perfect numbers, one of the fundamental concepts of mathematics have been focus of mathematicians attention science ancient times. This article discusses the concept of perfect numbers, their identification formulas, the Euclid and Euler approaches, as well as of the most debated problems the existence of odd perfect numbers.
Keywords
Perfect numbers, fundamental concepts
References
Euclid’s “Elements” 9-chapter
Euler, Leonhard, Introductio in Analysin Infinitorum (1748)
A. Baker, A Concise Introduction to the Theory of Numbers, Cambridge University Press, 1984.
Heath, Sir Thomas. A History of Greek Mathematics. (Dover Publications, 1981). Chapter 6
David M. Burton Elementary Number Theory 2010, 7th edition
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Copyright (c) 2025 Tilagova Buvgilos, Ibroxim Sattarov
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