# Diophantine equation

Syllabification: Di·o·phan·tine e·qua·tion
Pronunciation: /ˌdīəˈfanˌtin, -tīn /

## Definition of Diophantine equation in English:

### noun

Mathematics
A polynomial equation with integral coefficients for which integral solutions are required.
Example sentences
• That conjecture offers a new way of expressing Diophantine problems, in effect translating an infinite number of Diophantine equations (including the equation of Fermat's last theorem) into a single mathematical statement.
• Wolfram displays a table of some of the simplest possible Diophantine equations, distinguishing between those known to have integer solutions, those known to have no integer solutions, and those for which the question is still open.

### Origin

early 18th century: named after Diophantus.

## Definition of Diophantine equation in:

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= trending

## More on Diophantine equation

### More words in this category

arithmetic progression characteristic curve combination convergent covariant
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Pronunciation: rəˈzilyənt