International Journal of Global Operations Research
Vol. 3 No. 4 (2022): International Journal of Global Operations Research (IJGOR), November 2022

Solving The Fermat-Pell’s Equation with Infinite Continuous Fractions

Suyudi, Mochamad (Unknown)

Article Info

Publish Date
04 Nov 2022

Abstract

The special form is called the Fermat-Pell’s equation where is a positive integer that is not a square. Let's say the solution of this equation is a positive solution as long as x and y are both positive. Since solutions beyond can be arranged in sets of four by sign combinations , it is clear that all solutions will be known once all positive solutions are found. The result which gives us a starting point confirms that any pair of positive integers satisfying the Fermat-Pell’s equation can be obtained from infinite continuous fraction denoting the irrational number √ .

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Journal Info
International Journal of Global Operations Research
Website

Abbrev

ijgor

Publisher

Indonesian Operations Research Association

Subject

Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Engineering Mathematics

Description

International Journal of Global Operations Research (IJGOR) is published 4 times a year and is the flagship journal of the Indonesian Operational Research Association (IORA). It is the aim of IJGOR to present papers which cover the theory, practice, history or methodology of OR. However, since OR is ...