# Pell's equation

## English

### Etymology

Named by Leonhard Euler after the 17th-century mathematician John Pell, whom Euler mistakenly believed to be the first to find a general solution.

### Proper noun

Pell's equation

1. (number theory) The Diophantine equation ${\displaystyle x^{2}-my^{2}=1}$ for a given integer m, to be solved in integers x and y.