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Diophantine equation
Sign in to saveAlso known as Diophantic equation
polynomial equation with integer solutions
A Diophantine equation is a mathematical puzzle where you're looking for whole number solutions to an equation involving polynomials (expressions made up of variables and powers). These equations matter because solving them has practical applications in areas like cryptography, coding theory, and number theory, and some famously difficult Diophantine equations have driven major breakthroughs in mathematics.
AI-generated from the Wikipedia summary — may contain errors.
In the Vinony graph
Within Vinony's link graph, Diophantine equation is referenced by 446 other articles, and connects out to coprime, exponentiation and Elements.
It is catalogued under the topic Diophantine equations.
Its subject is documented across 55 Wikipedia language editions.
Wikidata facts
- Part of
- algebraic number theory
- Named after
- Diophantus of Alexandria
- Image
- Rtriangle.svg
Show 4 more facts
- on focus list of Wikimedia project
- Wikipedia:Vital articles/Level/4
- Commons category
- Diophantine equation
- studied by
- Diophantine geometry
- maintained by WikiProject
- WikiProject Mathematics
Sources (2)
via Wikidata · CC0
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Encyclopedic overview
Finding all right triangles with integer side-lengths is equivalent to solving the Diophantine equation
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Excerpted from Wikipedia’s “Diophantine equation” article, available under the CC BY-SA 4.0 licence.