Applied Sciences
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Perfect numbers and their formula. Euclid and Euler’s approach. Do odd perfect number exist?
DOI
Crossref DOI
10.37547/tajas/Volume07Issue01-03
tajas
2025
VOL. 7
/ NO. 01
JANUARY
RESEARCH OVERVIEW
Abstract
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.
RESEARCH TOPICS
Keywords
Perfect numbers
fundamental concepts
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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
- You tube: t.me/XurmoOfficial (xurmo you tube channel)