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Article type: Research Article
Authors: Mestechkin, M.
Affiliations: 12773 Seabreeze Farms Dr. # 33, San Diego 92130, CA, USA. E-mail: [email protected]
Abstract: A presented algorithm for directly constructing the elements of the periodic chain fraction of a square root could have served as the basis for Fermat's method of solving the Pell equation and explicitly finding the two squares composing any prime 4n+1.
Keywords: Continued fraction, Pell equation, Euclidean algorithm, Fermat theorem on squares
DOI: 10.3233/JCM-160634
Journal: Journal of Computational Methods in Sciences and Engineering, vol. 16, no. 3, pp. 703-710, 2016
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