The number e was introduced by Jacob Bernoulli in 1683. More than half a century later, Leonhard Euler, who had studied under Jacob Bernoulli's younger brother Johann, proved that e is irrational, meaning it cannot be expressed as the quotient of two integers.
Facts
StatementThe number e cannot be expressed as the quotient of two integers, that is, e is irrational. 1 Classification
Statement FormCharacterization Theorem 1 Connections
Has Statement Form
Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
Sources
1. Proof that e is irrational, Wikipedia
Introduction section
proved that e is irrational; that is, that it cannot be expressed as the quotient of two integers.
Euler's proof section
Euler wrote the first proof of the fact that e is irrational in 1737 (but the text was only published seven years later).
View the SourceReader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.