MATHEMATICAL CONSTANTS (SORTED BY CONTINUED FRACTION REPRESENTATION)

This is a list of mathematical constants sorted by their representations as continued fractions:
(Constants known to be irrational have infinite continued fractions: their last term is '...'.)

















































































































































































Symbol

|Numeral		 Number set Value Continued fraction representation
    [ Base 10 ]  

'0'
mathbb{Z}
= 0 		[0;]
'1/2'
mathbb{Q}
= 0.5 		[0; 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]
'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]
'Ω' or 'W(1)'
mathbb{R} ackslash mathbb{A}
≈ 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, ...]
'β
★ '
 
≈ 0.70258 		[0; 1, 2, 2, 1, 3, 5, 1, 2, 6, 1, 1, 5]
'K'
mathbb{R}ackslashmathbb{Q}?
≈ 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]
'1/2'
mathbb{Q}
= 0.5 		[0; 2]
'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]

'1'
mathbb{N}
= 1 		[1;]
'ρ'
mathbb{A} ackslash mathbb{Q}
≈ 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 ...]
'φ'
mathbb{A} ackslash mathbb{Q}
≈ 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, ...]
'EB'
mathbb{R} ackslash mathbb{Q}
≈ 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, ...]
'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]
'K'
 
≈ 1.13198 824 		[1; 7, 1, 1, 2, 1, 3, 2, 1, 2, 1, 17, 1, 1, 2, 1, 2, 4, 1, 2]
'B´L'
 
≈ 1.08366 		[1; 11, 1, 20, 2, 1, 12, 2, 2]
'√2'
mathbb{A}ackslashmathbb{Q}
≈ 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]

'2'
mathbb{N}
= 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'''
mathbb{R} ackslash mathbb{A}
≈ 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, ...]
'Kh'
 
≈ 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'
mathbb{N}
= 3 		[3;]
'π'
mathbb{R} ackslash mathbb{A}
≈ 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'
mathbb{N}
= 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]


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See also

See also



★ Mathematical constant

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