Pell equation
Pell equation is the alternative form of Pell's equation.
Meaning of Pell's equation
Noun
Pell's equation (plural Pell's equations)
- The Diophantine equation x²-my²=1 for a given integer m, to be solved in integers x and y.
- However, due to Euler's mistake in attributing the equation to English mathematician John Pell (1610-1585), Equation (27.14) is called Pell's equation. Results concerning Pell's equation will be stated without proof.1974, Allan M. Kirch, Elementary Number Theory: A Computer Approach, Intext Educational Publishers, page 212
- Synonyms:
- Pell-Fermat equation
Forms of Pell equation
| plural | Pell equations |
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Questions about Pell equation
- What is Pell equation the alternative form of?
- Pell equation is the alternative form of Pell's equation.
Words near Pell equation in the dictionary
Source and license
Adapted from Wiktionary: Pell equation (page history and authors); Pell's equation (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
Last updated:
Cite this entry: “Pell equation.” Word.ws, https://word.ws/pell_equation. Based on Wiktionary, CC BY-SA 4.0.
