Triangle Sides for Congruent Numbers less than 10,000
David Goldberg
TL;DR
This paper presents a comprehensive table of triangle sides corresponding to all congruent numbers less than 10,000, enhancing previous data and providing insights into their properties and computation methods.
Contribution
It extends existing tables of congruent number triangles by computing and publishing a complete list for numbers under 10,000 with detailed background and methodology.
Findings
Complete table of triangle sides for congruent numbers under 10,000
Improved computational methods for generating the table
Insights into properties of the triangle sides
Abstract
We have computed a table of the triangle sides of all congruent numbers less than 10,000, which improves and extends the existing public table. We give some background on properties of the triangle sides, and explain how we computed our table, which is available on https://github.com/dgpaloalto/Congruent-Numbers
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Taxonomy
TopicsBenford’s Law and Fraud Detection · Analytic Number Theory Research · Cryptography and Residue Arithmetic