数学常数 (以连分数表示排列)
(无理数的常数有无限长的连分数:其最后面项为...。)
符号 | 数集 | 值 | 连分数表示 |
---|---|---|---|
Λ |
> – 2.7 · 10−9 |
||
0 |
|
= 0 |
[0;] |
M1 |
≈ 0.26149 72128 47642 78375 54268 38608 69585 |
[0; 3, 1, 4, 1, 2, 5, 2, 1, 1, 1, 1, 13, 4, 2, 4, 2, 1, 33, 296, 2, 1, 5, 19, 1, 5, 1, 1, 1, 1, 1] | |
½ |
|
= 0.5 |
[0; 1, 1] |
Ω 或 W(1) |
|
≈ 0.56714 32904 09783 87299 99686 62210 35555 |
[0; 1, 1, 3, 4, 2, 10, 4, 1, 1, 1, 1, 2, 7, 306, 1, 5, 1, 2, 1, 5, 1, 1, 1, 1, 7, 1, 4, 2, ...] |
γ |
≈ 0.57721 56649 01532 86060 65120 90082 40243 |
[0; 1, 1, 2, 1, 2, 1, 4, 3, 13, 5, 1, 1, 8, 1, 2, 4, 1, 1, 40, 1, 11, 3, 7, 1, 7, 1, 1, 5, 1, 49, ...] | |
|
≈ 0.61803 39887 |
[0; 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, …] | |
C2 |
≈ 0.66016 18158 46869 57392 78121 10014 55577 |
[0; 1, 1, 1, 16, 2, 2, 2, 2, 1, 18, 2, 2, 11, 1, 1, 2, 4, 1, 16, 3, 2, 4, 21, 2, 405, 2, 1, 33, 1, 1] | |
β* |
≈ 0.70258 |
[0; 1, 2, 2, 1, 3, 5, 1, 2, 6, 1, 1, 5] | |
K |
? |
≈ 0.76422 36535 89220 66 |
[0; 1, 3, 4, 6, 1, 15, 1, 2, 2, 3, 1, 23, 3, 1, 1, 3, 1, 1, 7, 2, 3, 3, 18, 2, 1, 2, 1, 2, 1, 6] |
B4 |
≈ 0.87058 83800 |
[0; 1, 6, 1, 2, 1, 2, 956, 8, 1, 1, 1, 23] | |
K |
≈ 0.91596 55941 77219 01505 46035 14932 38411 |
[0; 1, 10, 1, 8, 1, 88, 4, 1, 1, 7, 22, 1, 2, 3, 26, 1, 11, 1, 10, 1, 9, 3, 1, 1, 1, 1, 1, 1, 2, 2] | |
1 |
|
= 1 |
[1;] |
B´L |
≈ 1.08366 (历史上的猜测值,实际值为1) |
[1; 11, 1, 20, 2, 1, 12, 2, 2] | |
K |
≈ 1.13198 824 |
[1; 7, 1, 1, 2, 1, 3, 2, 1, 2, 1, 17, 1, 1, 2, 1, 2, 4, 1, 2] | |
ρ |
|
≈ 1.32471 95724 47460 25960 90885 44780 97340 |
[1; 1, 3, 12, 1, 1, 3, 2, 3, 2, 4, 2, 141, 80, 2, 5, 1, 2, 8, 2, 1, 1, 3, 1, 8, 2, 1, 1, 14, 1, 1, 2, 1, 1, 1, 3, 1, 10, 4 ...] |
√2 |
|
≈ 1.41421 35623 73095 04880 16887 24209 69807 |
[1; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, ...] |
μ |
≈ 1.45136 92348 83381 05028 39684 85892 027 |
[1; 2, 4, 1, 1, 1, 3, 1, 1, 1, 2, 47, 2, 4, 1, 12, 1, 1, 2, 2, 1, 7, 2, 1, 1, 1, 2, 30, 6, 3, 6] | |
EB |
|
≈ 1.60669 51524 15291 763 |
[1; 1, 1, 1, 1, 5, 2, 1, 2, 29, 4, 1, 2, 2, 2, 2, 6, 1, 7, 1, 6, 2, 1, 1, 1, 20, 1, 3, 1, 1, 1, ...] |
φ |
|
≈ 1.61803 39887 49894 84820 45868 34365 63811 |
[1; 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...] |
B2 |
≈ 1.90216 05823 |
[1; 1, 9, 4, 1, 1, 8, 3, 4, 7, 1, 3, 3, 1, 2, 1, 1, 12, 4, 2, 1, 2, 2] | |
2 |
|
= 2 |
[2;] |
α |
≈ 2.50290 78750 95892 82228 39028 73218 21578 |
[2; 1, 1, 85, 2, 8, 1, 10, 16, 3, 8, 9, 2, 1, 40, 1, 2, 3, 2, 2, 1, 17, 1, 1, 5, 3, 2, 6, 3, 5, 1] | |
e |
|
≈ 2.71828 18284 59045 23536 02874 71352 66249 |
[2; 1, 2, 1, 1, 4, 1, 1, 6, 1, 1, 8, 1, 1, 10, 1, 1, 12, 1, 1, 14, 1, 1, 16, 1, 1, 18, 1, 1, 20, 1, ...] |
K0 |
≈ 2.68545 20011 19507 41674 |
[2; 1, 2, 5, 1, 1, 2, 1, 1, 3, 10, 2, 1, 3, 2, 24, 1, 3, 2, 3, 1, 1, 1, 90] | |
3 |
|
= 3 |
[3;] |
π |
|
≈ 3.14159 26535 89793 23846 26433 83279 50288 |
[3; 7, 15, 1, 292, 1, 1, 1, 2, 1, 3, 1, 14, 2, 1, 1, 2, 2, 2, 2, 1, 84, 2, 1, 1, 15, 3, 13, 1, 4, 2, ...] |
4 |
|
= 4 |
[4;] |
δ |
≈ 4.66920 16091 02990 67185 32038 20466 20161 |
[4; 1, 2, 43, 2, 163, 2, 3, 1, 1, 2, 5, 1, 2, 3, 80, 2, 5, 2, 1, 1, 1, 33, 1, 1, 53, 1, 1, 1, 1, 1] |