Phrase guide

Pell's equation

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

Each Play button uses your device's default local English voice, or a natural local fallback. The selected voice name appears after playback. This is synthesized speech, not a source recording.

No pronunciation record was provided for this word.

1

noun

Meaning 1

The Diophantine equation x2-my2=1 for a given integer m, to be solved in integers x and y.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, number-theory, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

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.

Across languages

Translations

3 source translations are retained for this English entry.

  • German: Pellsche Gleichung — Diophantine equation
  • Italian: equazione di Pell — Diophantine equation
  • Polish: równanie Pella — Diophantine equation