Editing List of mathematical constants

* [[Pi|<math>\pi</math>]] = 3.184809 493E91 866457 3X6211 ... (this number is known to be transcendental)

* ''[[e (mathematical constant)|e]]'' = 2.875236 069821 9EX719 71009E ... (this number is known to be transcendental)

* <math>\tau</math> = <math>2\pi</math> = 6.349416 967E63 5108E2 790423 ... (this number is known to be transcendental)

* [[Euler–Mascheroni constant]] <math>\gamma</math> = 0.6E1518 8X6760 E381E7 543345 ...

* [[square root of 2|<math>\sqrt{2}</math>]] = 1.4E7917 0X07E8 573770 4E0854 ...

* [[square root of 3|<math>\sqrt{3}</math>]] = 1.894E97 EE9687 04X153 9X82E5 ...

* [[square root of 5|<math>\sqrt{5}</math>]] = 2.29EE13 254058 919183 50X612 ...

* [[square root of 6|<math>\sqrt{6}</math>]] = 2.548875 21E2X3 69X1E8 741X63 ...

* <math>\sqrt{7}</math> = 2.78EX37 0EE138 X90059 368336 ...

* <math>\sqrt{8}</math> = <math>2\sqrt{2}</math> = 2.9E3632 1813E4 E27320 9X14X9 ...

* <math>\sqrt{\mathcal{X}}</math> = 3.1E44EX 5E6609 27E326 833X86 ...

* <math>\sqrt{\mathcal{E}}</math> = 3.397164 684294 8XE2E8 1EX94X ...

* [[square root of 10|<math>\sqrt{10}</math>]] = <math>2\sqrt{3}</math> = 3.569E73 EE7152 0982X7 7945XX ...

* [[cube root of 2|<math>\sqrt[3]{2}</math>]] = 2<sup>0.4</sup> = 1.315188 11X39X X22801 X49414 ...

* [[4th root of 2|<math>\sqrt[4]{2}</math>]] = 2<sup>0.3</sup> = 1.232E49 502548 E9E65E 2E6377 ...

* [[6th root of 2|<math>\sqrt[6]{2}</math>]] = 2<sup>0.2</sup> = 1.157745 872895 66E6E2 3296X5 ...

* [[10th root of 2|<math>\sqrt[10]{2}</math>]] = 2<sup>0.1</sup> = 1.086903 X21E3E 727130 196X09 ...

* <math>\sqrt[3]{10}</math> = 10<sup>0.4</sup> = 2.358170 9XX919 6E5574 34641E ...

* <math>\sqrt[4]{10}</math> = 10<sup>0.3</sup> = 1.X40206 532E36 X73495 X09198 ...

* <math>\sqrt[6]{10}</math> = 10<sup>0.2</sup> = 1.61X741 X0891E 36EX86 8E4136 ...

* <math>\sqrt[10]{10}</math> = 10<sup>0.1</sup> = 1.2916X1 9411X8 585437 376313 ...

* [[Golden ratio]] <math>\phi</math> = <math>\frac{\sqrt{5}+1}{2}</math> = 1.74EE67 72802X 46X6X1 865307 ...

* [[Silver ratio]] <math>\delta_S</math> = <math>\sqrt{2}+1</math> = 2.4E7917 0X07E8 573770 4E0854 ...

* [[Bronze ratio]] <math>M_3</math> = <math>\frac{\sqrt{11}+3}{2}</math> = 3.377243 262773 297X8X 145586 ...

* [[Supergolden ratio]] <math>\psi</math> = <math>\frac{1 + \sqrt[3]{\frac{25 + 3\sqrt{79}}{2}} + \sqrt[3]{\frac{25 - 3\sqrt{79}}{2}}}{3}</math> = 1.570610 2EX83E 671699 9E0780 ...

* [[Plastic number]] <math>\rho</math> = <math>\sqrt[3]{\frac{9 + \sqrt{59}}{16}} + \sqrt[3]{\frac{9 - \sqrt{59}}{16}}</math> = 1.3X9142 75E896 79EX0X 349146 ...

* [[Tribonacci constant]] <math>\xi_3</math> = <math>\frac{1+\sqrt[3]{17+3\sqrt{29}}+\sqrt[3]{17-3\sqrt{29}}}{3}</math> = 1.X0X354 9X52E8 380557 38X342 ...

* [[Triangular root]] of 2 = <math>\frac{\sqrt{15}-1}{2}</math> = 1.68X443 86X184 290224 26E1X6 ...

* <math>\frac{1}{\pi}</math> = 0.39X058 2886E3 742178 522877 ... (this number is known to be transcendental)

* <math>\frac{1}{e}</math> = 0.44E842 160564 X444E6 X08E59 ... (this number is known to be transcendental)

* [[Gelfond's constant]] <math>e^\pi</math> = 1E.183149 E4X351 682985 97E590 ... (this number is known to be transcendental)

* [[Gelfond–Schneider constant]] <math>2^\sqrt{2}</math> = 2.7E9451 92684E 205155 351558 ... (this number is known to be transcendental)

* ''i''<sup>''i''</sup> = <math>\frac{1}{\sqrt{e^\pi}}</math> = 0.25E271 109778 366X20 XX4005 ... (this number is known to be transcendental)

* [[Ramanujan's constant]] = <math>e^{\pi \sqrt{117}}</math> = 15059 399520 36851E.EEEEEE EEEEE5 391X28 99X944 ... ([[Almost integer|very close to an integer]], this integer is 26X680<sup>3</sup>+520, given by the coefficients of modular function j as power series in <math>q=e^{2\pi i t}</math>: 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)

* [[natural logarithm of 2|''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)

* [[natural logarithm of 10|''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)

* [[common logarithm of 2|''log'' 2]] = 0.34201E 20X371 X7X232 04520X ... (this number is known to be transcendental)

* [[common logarithm of 3|''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)

* ''log''<sub>2</sub>''e'' = 1.538E88 385XX6 96568X 18E862 ... (this number is known to be transcendental)

* ''log''<sub>2</sub>3 = 1.702994 801X64 X27179 734E85 ... (this number is known to be transcendental)

* ''log''<sub>2</sub>10 = 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'' = <math>\sum_{k=1}^{\infty}(10^{-k!})</math> = 0.110001 000000 000000 000001 ... (this number is known to be transcendental)

* [[Champernowne constant]] ''C''<sub>10</sub> = 0.123456 789XE1 011121 314151 617181 91X1E2 0... (this number is known to be transcendental and normal)

* [[Copeland–Erdős constant]] 0.2357E1 115171 E25273 135373 E454E5 1575E6 1676E7 5... (this number is known to be normal)

* [[Conway's constant]] <math>\lambda</math> = 1.3786E8 X500E1 032785 6650E6 ... (this number is an [[algebraic number]] with degree 5E)

* [[Prouhet–Thue–Morse constant]] <math>\tau</math> = 0.4E4879 18XX67 685435 982056 ... (this number is known to be transcendental)

* [[Komornik–Loreti constant]] ''q'' = 1.954405 141105 7X0760 X38227 ... (this number is known to be transcendental)

* <math>\zeta(2)</math> = <math>\frac{\pi^2}{6}</math> = 1.78X542 97X561 05370X 330717 ... (this number is known to be transcendental)

* [[Apéry's constant]] <math>\zeta(3)</math> = 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 <math>\zeta(5)</math>, <math>\zeta(7)</math>, <math>\zeta(9)</math> and <math>\zeta(\mathcal{E})</math> is irrational, but none of them is known to be irrational)

* <math>\zeta(4)</math> = <math>\frac{\pi^4}{76}</math> = 1.0EX307 X37995 919XE1 8012E3 ... (this number is known to be transcendental)

* [[Catalan's constant]] ''G'' = 0.XEX956 737E3X 6XE083 X55465 ...

* [[Artin's constant]] ''C''<sub>Artin</sub> = 0.45X242 0XE766 13448X EX9069 ...

* [[Khinchin's constant]] ''K''<sub>0</sub> = 2.828564 85E404 426608 2X7290 ...

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

* [[Khinchin–Lévy constant]] = <math>\frac{\pi^2}{10\ln2}</math> = 1.22X484 466267 593745 9637X5 ... (this number is known to be transcendental)

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

* [[Brun's constant]] ''B''<sub>2</sub> = 1.X9XE25 097070 ... (only 10 digits after the dozenal point are known)

* [[Twin prime constant]] ''C''<sub>2</sub> = 0.7E0914 752669 928452 606598 ...

* [[Erdős–Borwein constant]] ''E'' = 1.734452 027104 885050 XX1X49 ...

* [[Reciprocal Fibonacci constant]] <math>\psi</math> = 3.439X70 X11793 855644 5XX497 ... (this number is known to be irrational, but not known whether or not it is transcendental)

* [[Soldner's constant]] = 1.54EE71 391794 821836 6E6696 ...

* [[Glaisher-Kinkelin constant]] ''A'' = 1.34804X X7E731 8724E7 4X4253 ...

* [[Golomb-Dickman constant]] = 0.75XX13 434074 998279 990537 ...

* [[Landau–Ramanujan constant]] = 0.9206E3 7283X6 831700 X90E89 ...

* [[Laplace limit]] <math>\epsilon</math> = 0.7E5279 2E56X9 E51235 50X813 ...

* [[Landau's totient constant]] = 1.40E192 06764X 633967 35409X ...

* [[Gauss's constant]] ''G'' = 0.X0229X 48XE08 83X3E5 232250 ... (this number is known to be transcendental)

* [[Omega constant]] <math>\Omega</math> = 0.698034 95X760 082138 216097 ... (this number is known to be transcendental)

* [[Sierpinski constant]] ''K'' = 2.702X22 211432 1E6090 0XE801 ...

* [[Viswanath's constant]] <math>\sigma(1)</math> = 1.1700XX 9709X7 ... (only 10 digits after the dozenal point are known)

* [[Bernstein's constant]] <math>\beta</math> = 0.344171 784362 466129 046158 ...

* [[Backhouse's constant]] = 1.558120 5EX8X0 5502E4 59X201 ...

* 1st [[Feigenbaum constant]] <math>\delta</math> = 4.804469 36X214 98X58X 598EE8 ...

* 2nd [[Feigenbaum constant]] <math>\alpha</math> = 2.605036 X50951 E67149 639726 ...

Most of these numbers above are conjectured to be [[irrational number|irrational]], [[transcendental number|transcendental]] and [[normal number|normal]], but all have no proof except the numbers with these notes (e.g. [[Pi|<math>\pi</math>]], [[e (mathematical constant)|''e'']], <math>e^{\pi}</math>, and <math>2^\sqrt{2}</math> are transcendental, and of course <math>\sqrt{2}</math> and [[golden ratio]] <math>\phi</math> are not transcendental, but it is unknown whether [[Euler–Mascheroni constant]] <math>\gamma</math> is transcendental or not), no numbers above (except [[Champernowne constant]] and [[Copeland–Erdős constant]]) are known to be normal, and it is conjectured that [[Pi|<math>\pi</math>]], [[e (mathematical constant)|''e'']], [[Euler–Mascheroni constant]] <math>\gamma</math>, [[square root of 2|<math>\sqrt{2}</math>]], [[natural logarithm of 2|''ln'' 2]], [[golden ratio]] <math>\phi</math> and some other numbers are all normal, but none has proof, however, not all irrational number are normal, the number 0.11010010001000010000010000001... is irrational, but not normal.
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