diophantine equation

or Diophantine equation

noun Mathematics.

an equation involving more than one variable in which the coefficients of the variables are integers and for which integral solutions are sought.


How Hip Is Your Lingo? Take Our Slang Quiz!
If you aren’t already skilled in slang, then this quiz can get you up to speed in no time!
Question 1 of 11
OK Boomer can be perceived as pejorative, but it is mostly considered to be _____

Origin of diophantine equation

1925–30; named after Diophantus, 3rd-century a.d. Greek mathematician; see -ine1
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2020

British Dictionary definitions for diophantine equation

Diophantine equation
/ (ˌdaɪəʊˈfæntaɪn) /


(in number theory) an equation in more than one variable and with integral coefficients, for which integral solutions are sought

Word Origin for Diophantine equation

C18: after Diophantus, Greek mathematician of the 3rd century ad
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Scientific definitions for diophantine equation

Diophantine equation

A type of indeterminate equation in which the coefficients are integers, studied to determine all integral solutions.
The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.