Euler's number
mathematical constant; limit of (1 + 1/n)^n as n approaches infinity; transcendental number approximately equal 2.718281828
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Summary
Euler's number is a transcendental number[1]. It draws 38,580 Wikipedia views per month (transcendental number category, ranking #2 of 12).[2]
Key Facts
- Discoverer or inventor: Jacob Bernoulli[3]
- Instance of: real number[4], irrational number[5], mathematical constant[6]
- Named after: Leonhard Euler[7], John Napier[8]
- Part of: radioactive decay law[9]
- Commons category: E (mathematical constant)[10]
- Unicode character: 𝑒[11]
- Topic's main category: Category:E (mathematical constant)[12]
- Notation: E/e[13]
- Numeric value: 2.71828182845904523536028747135266249775724709369995957496696762772407663035354759457138217852516642742746[14]
- Described by source: ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[15]
- Stack Exchange tag: https://stackoverflow.com/tags/eulers-number[16]
- Different from: Euler number[17], Eulerian number[18], E[19], E/e[20], Euler–Mascheroni constant[21]
- Studied by: theory of Euler's number[22]
- On focus list of Wikimedia project: Wikipedia:Vital articles/Level/4[23]
- Maintained by WikiProject: WikiProject Mathematics[24]
Why It Matters
Euler's number has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[25] It is known by 128 alternative names across languages and contexts.[26]