List of mathematical constants

• $\pi$ = 3.184809 493E91 866457 3X6211 ... (this number is known to be transcendental)

• e = 2.875236 069821 9EX719 71009E ... (this number is known to be transcendental)

• $\tau$ = $2\pi$ = 6.349416 967E63 5108E2 790423 ... (this number is known to be transcendental)

• Euler–Mascheroni constant $\gamma$ = 0.6E1518 8X6760 E381E7 543345 ...

• $\sqrt{2}$ = 1.4E7917 0X07E8 573770 4E0854 ...

• $\sqrt{3}$ = 1.894E97 EE9687 04X153 9X82E5 ...

• $\sqrt5$ = 2.29EE13 254058 919183 50X612 ...

• $\sqrt{6}$ = 2.548875 21E2X3 69X1E8 741X63 ...

• $\sqrt{7}$ = 2.78EX37 0EE138 X90059 368336 ...

• $\sqrt {8}$ = $2\sqrt{2}$ = 2.9E3632 1813E4 E27320 9X14X9 ...

• $\sqrt{\mathcal{X}}$ = 3.1E44EX 5E6609 27E326 833X86 ...

• $\sqrt{\mathcal{E}}$ = 3.397164 684294 8XE2E8 1EX94X ...

• $\sqrt{10}$ = $2\sqrt{3}$ = 3.569E73 EE7152 0982X7 7945XX ...

• $\sqrt[3]{2}$ = 2^0.4 = 1.315188 11X39X X22801 X49414 ...

• $\sqrt[4]{2}$ = 2^0.3 = 1.232E49 502548 E9E65E 2E6377 ...

• $\sqrt[6]{2}$ = 2^0.2 = 1.157745 872895 66E6E2 3296X5 ...

• $\sqrt[10]{2}$ = 2^0.1 = 1.086903 X21E3E 727130 196X09 ...

• $\sqrt[3]{10}$ = 10^0.4 = 2.358170 9XX919 6E5574 34641E ...

• $\sqrt[4]{10}$ = 10^0.3 = 1.X40206 532E36 X73495 X09198 ...

• $\sqrt[6]{10}$ = 10^0.2 = 1.61X741 X0891E 36EX86 8E4136 ...

• $\sqrt[10]{10}$ = 10^0.1 = 1.2916X1 9411X8 585437 376313 ...

• Golden ratio $\phi$ = $\frac{\sqrt{5} +1}{2}$ = 1.74EE67 72802X 46X6X1 865307 ...

• Silver ratio $\delta_S$ = $\sqrt{2}+1$ = 2.4E7917 0X07E8 573770 4E0854 ...

• Supergolden ratio $\psi$ = $\frac{1 + \sqrt[3]{\frac{25 + 3\sqrt{79}}{2}} + \sqrt[3]{\frac{25 - 3\sqrt{79}}{2}}}{3}$ = 1.570610 2EX83E 671699 9E0780 ...

• Plastic number $\rho$ = $\sqrt[3]{\frac{9 + \sqrt{59}}{16}} + \sqrt[3]{\frac{9 - \sqrt{59}}{16}}$ = 1.3X9142 75E896 79EX0X 349146 ...

• $\frac{1}{\pi}$ = 0.39X058 2886E3 742178 522877 ... (this number is known to be transcendental)

• $\frac{1}{e}$ = 0.44E842 160564 X444E6 X08E59 ... (this number is known to be transcendental)

• Gelfond's constant $e^\pi$ = 1E.183149 E4X351 682985 97E590 ... (this number is known to be transcendental)

• Gelfond–Schneider constant $2^{\sqrt{2}}$ = 2.7E9451 92684E 205155 351558 ... (this number is known to be transcendental)

• iⁱ = $\frac{1}{\sqrt{e^\pi}}$ = 0.25E271 109778 366X20 XX4005 ... (this number is known to be transcendental)

• Ramanujan's constant = $e^{\pi\sqrt{117}}$ = 15059 399520 36851E.EEEEEE EEEEE5 391X28 99X944 ... (very close to an integer, this integer is 26X680³+520, given by the coefficients of modular function j as power series in $q=e^{2\pi i t}$: 1, 520, 95E30, 7246628, 201551716, 3E10368000, 546E0X82248, 5880X2000000, 50129X8E61853, 3904375971E140, 258313492001830, 156E10001X400000, 95X677EEX7915E66, 488E812838X800000, ..., besides, 117 is the largest Heegner number, there are only 9 Heegner numbers, and they are 1, 2, 3, 7, E, 17, 37, 57, 117) (this number is known to be transcendental)

• ln 2 = 0.839912 483369 XE2137 42X346 ... (this number is known to be transcendental)

• ln 3 = 1.12249X 871651 3489E9 024604 ... (this number is known to be transcendental)

• ln 10 = 2.376X4X 2E577E 9643X6 2071X6 ... (this number is known to be transcendental)

• log e = 0.49E494 439904 549679 E59E5E ... (this number is known to be transcendental)

• log 2 = 0.34201E 20X371 X7X232 04520X ... (this number is known to be transcendental)

• log 3 = 0.537E81 7X3498 283757 E317X2 ... (this number is known to be transcendental)

• log 4 = 0.68403X 418723 938464 08X419 ... (this number is known to be transcendental)

• log 5 = 0.79324X 517079 42X898 265X68 ... (this number is known to be transcendental)

• log 6 = 0.879EX0 9E184X 141989 E769E1 ... (this number is known to be transcendental)

• log 7 = 0.949223 8X4XX7 8X1E96 X67297 ... (this number is known to be transcendental)

• log 8 = 0.X06059 626X95 7E6696 113627 ... (this number is known to be transcendental)

• log 9 = 0.X73E43 386974 5472E3 X63385 ... (this number is known to be transcendental)

• log X = 0.E15269 72542E 2X8E0X 2XE077 ... (this number is known to be transcendental)

• log E = 0.E6E5XX E08546 192E29 605377 ... (this number is known to be transcendental)

• log₂10 = 3.702994 801X64 X27179 734E85 ... (this number is known to be transcendental)

• sin 1 = 0.X1208X X92234 12E470 074934 ... (this number is known to be transcendental)

• cos 1 = 0.659786 059E60 8074X8 682736 ... (this number is known to be transcendental)

• tan 1 = 1.68324X 669888 E2050X X90009 ... (this number is known to be transcendental)

• sinh 1 = 1.2128E7 E6473X 599111 461681 ... (this number is known to be transcendental)

• cosh 1 = 1.66253X 1050X3 421608 26X61X ... (this number is known to be transcendental)

• tanh 1 = 0.91804E E6X122 4187E5 7369XX ... (this number is known to be transcendental)

• Liouville constant c = $\sum_{k=1}^{\infty}(10^{-k!})$ = 0.110001 000000 000000 000001 ... (this number is known to be transcendental)

• Champernowne constant C₁₀ = 0.123456 789XE1 011121 314151 617181 91X1E2 0... (this number is known to be transcendental)

• Copeland–Erdős constant 0.2357E1 115171 E25273 135373 E454E5 1575E6 1676E7 5...

• Conway's constant $\lambda$ = 1.3786E8 X500E1 032785 6650E6 ... (this number is an algebraic number with degree 5E)

• Prouhet–Thue–Morse constant $\tau$ = 0.4E4879 18XX67 685435 982056 ... (this number is known to be transcendental)

• Apéry's constant $\zeta(3)$ = 1.2511X2 81XXXX 589757 692336 ... (this number is known to be irrational, but not known whether or not it is transcendental, also it is known that at least one of $\zeta(5)$, $\zeta(7)$, $\zeta(9)$, and $\zeta(\mathcal{E})$ is irrational, but none of them is known to be irrational)

• Catalan's constant G = 0.XEX956 737E3X 6XE083 X55465 ...

• Artin's constant C_Artin = 0.45X242 0XE766 13448X EX9069 ...

• Khinchin's constant K₀ = 2.828564 85E404 426608 2X7290 ...

• Lévy's constant $\gamma$ = $e^{\pi^2/(10\ln2)}$ = 3.338756 9X479X 99X939 7714XX ... (this number is known to be transcendental)

• Mills' constant A = 1.381507 56153E 408X1E X7E71X ... (assuming the Riemann Hypothesis is true)

• Brun's constant B₂ = 1.X9XE25 097070 ... (only 10 digits after the dozenal point are known)

• Twin prime constant C₂ = 0.7E0914 752669 928452 606598 ...

• Erdős–Borwein constant E = 1.734452 027104 885050 XX1X49 ...

• Reciprocal Fibonacci constant $\psi$ = 3.439X70 X11793 855644 5XX497 ...