Skip to main content
Diophantine

Diophantine

9.9
A math problem that asks for answers that are integers
  • noun
  • /ˌdaɪəˈfænˌtiːn/
  • Specialized
: ecuación diofantina
  • So this is an example of what's called a Diophantine equation.

Examples

  • It was for his brilliant solution of a long-standing conjecture in Diophantine analysis.

    Fiction book (2001)
  • A classic problem in number theory is to find integer solutions to a Diophantine equation.

  • Students often study Diophantine equations to explore possible integer solutions.

  • Researchers are investigating the properties of Diophantine equations in modern mathematics.

Surface Forms

Diophantine singular
Diophantines plural

Etymology

A Diophantine is named after the Greek mathematician Diophantus and means a problem or equation that asks for 'integer' or 'whole number' solutions, so when you hear Diophantine think of answers that must be whole numbers.