知られている数学定数の桁数では、計算によって知られている数学定数の十進数展開の桁数について述べる。
| 表記 | 名称 | 最初の10桁 | 桁数 | 発表日 | 備考 |
|---|---|---|---|---|---|
| \(\pi\) | 円周率 | \(3.1415926538\) | \(1.00000000000000\times10^{14}\) | 2022/06/08 | |
| \(e\) | ネイピア数 | \(2.7182818284\) | \(3.5000000000000\times10^{13}\) | 2023/12/26 | |
| \(\sqrt{2}\) | \(1.4142135623\) | \(2.0000000001000\times10^{13}\) | 2023/12/26 | ||
| \(\phi\) | 黄金数 (黄金比) | \(1.6180339887\) | \(2.0000000000000\times10^{13}\) | 2023/12/02 | |
| \(\gamma\) | オイラーの定数 | \(0.5772156649\) | \(1.337000000000\times10^{13}\) | 2023/09/09 | |
| \(\sqrt{11}\) | \(3.3166247903\) | \(2.284000000000\times10^{12}\) | 2021/10/31 | ||
| \(\sqrt{7}\) | \(2.6457513110\) | \(2.275000000000\times10^{12}\) | 2021/10/31 | ||
| \(\sqrt{3}\) | \(1.732050807\) | \(2.250000000000\times10^{12}\) | 2021/10/31 | ||
| \(\sqrt{5}\) | \(2.2360679774\) | \(2.250000000000\times10^{12}\) | 2021/10/31 | ||
| \(\sqrt[3]{2}\) | \(1.2599210498\) | \(2.199023255552\times10^{12}\) | 2019/01/30 | ||
| \(\zeta(3)\) | アペリーの定数 | \(1.2020569031\) | \(2.020569031595\times10^{12}\) | 2023/12/26 | |
| \(\ln2\) | \(0.6931471805\) | \(1.500000000000\times10^{12}\) | 2021/10/04 | ||
| \(\frac{3+\sqrt{13}}{2}\) | 青銅数 (青銅比) | \(3.3027756377\) | \(1.307674368000\times10^{12}\) | 2019/10/30 | |
| \(\varpi\) | レムニスケート周率 | \(5.2441151085\) | \(1.200000000100\times10^{12}\) | 2022/07/17 | |
| \(G\) | カタランの定数 | \(0.9159655941\) | \(1.200000000100\times10^{12}\) | 2022/03/14 | |
| \(\ln10\) | \(2.3025850929\) | \(1.200000000100\times10^{12}\) | 2020/09/13 | ||
| \(\sin1\) | \(0.8414709848\) | \(1.099511627776\times10^{12}\) | 2020/06/28 | ||
| \(\cos1\) | \(0.5403023058\) | \(1.099511627776\times10^{12}\) | 2021/03/13 | ||
| \(\Gamma(\frac{1}{3})\) | \(2.6789385347\) | \(1.000000000000\times10^{12}\) | 2023/12/18 | ||
| \(\Gamma(\frac{1}{4})\) | \(3.6256099082\) | \(1.000000000000\times10^{12}\) | 2024/01/17 | ||
| \(\ln3\) | \(1.0986122886\) | \(5.49755813888\times10^{11}\) | 2020/06/28 | ||
| \(\ln5\) | \(1.6094379124\) | \(5.49755813888\times10^{11}\) | 2020/07/12 | ||
| \(\ln7\) | \(1.9459101490\) | \(5.49755813888\times10^{11}\) | 2020/09/13 | ||
| \(\ln11\) | \(2.3978952727\) | \(2.74877906944\times10^{11}\) | 2021/03/13 | ||
| \(\zeta(5)\) | \(1.0369277551\) | \(2.01000001300\times10^{11}\) | 2023/12/18 | ||
| \(\text{erf}(1)\) | \(0.8427007929\) | \(1.50000000000\times10^{11}\) | 2020/08/09 | \(2\times10^{11}\)桁の未検証記録あり | |
| \(G\) | ガウスの定数 | \(0.8346268416\) | \(1.25000000000\times10^{11}\) | 2020/09/27 | |
| \(\text{arcoth}\ 2\) | \(0.5493061443\) | \(1.00000000000\times10^{11}\) | 2016/05/17 |
出典[]
- ↑ "Records Set by y-cruncher". Alex Yee's website.