Levy Constant Calculator
Free online levy constant calculator. Enter your values and get instant results with the formula, step-by-step working, a worked example and FAQs — everything runs locally in your browser on Calcton, no signup required.
Khinchin–Lévy 常数 γ = e^(π²/12ln2) ≈ 3.27582291872181：连分数第 n 个渐近分数的分母 qₙ 几乎必然以 qₙ^(1/n) → γ 的速度指数增长。它量化了「有理数逼近无理数有多快」：qₙ 约每增加一个偏商放大 γ 倍。
闭式让它在常数里显得尊贵——π²/(12ln2) 与 Re(ζ(2)) 的调和结构同源。对照实验：黄金比的 qₙ 是斐波那契数，qₙ^(1/n) → φ = 1.6180，恰好是全实数里最慢的逼近速度。
参考值
γ = 3.275822918721811，π²/(12ln2) = 1.186569110415679
黄金比例外：lim qₙ^(1/n) = φ = 1.618033988749895
How to use the Levy Constant Calculator
- Fill in the inputs with your own numbers — every field shows what it expects.
- The result updates instantly as you type; no "Calculate" click needed.
- Read the result card for the main figure, the step-by-step formula, and practical notes.
Frequently asked questions
Is the Levy Constant Calculator free?
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Is there a Chinese version of this tool?
Yes. Use the Chinese version link above — it is the same calculator with the interface in Simplified Chinese.
References
Formulas and benchmarks used by this calculator follow these published sources.
KevinContent LeadCalcton Editorial Team · Last updated 2026-09-27
Kevin maintains Calcton's formula verification and content: every calculator cites the standard it implements, worked examples are recomputed programmatically, and health benchmarks follow WHO and international guidelines.
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