Beta version#
BETA TEST VERSION OF THIS ITEM
This online calculator is currently under heavy development. It may or it may NOT work correctly.
You CAN try to use it. You CAN even get the proper results.
However, please VERIFY all results on your own, as the level of completion of this item is NOT CONFIRMED.
Feel free to send any ideas and comments !
This online calculator is currently under heavy development. It may or it may NOT work correctly.
You CAN try to use it. You CAN even get the proper results.
However, please VERIFY all results on your own, as the level of completion of this item is NOT CONFIRMED.
Feel free to send any ideas and comments !
General usage in various math fields#
Typical names | Common symbol | Possible definition or way of calculation | Approximated value | Example usage or connotations | Known at least since | Number of known digits after the point (state on 2019) |
The pi number, ludolfine, Archimedes number | Show source | Show source | 3.14159265358979323846 |
| 2600 BC | 22459157718361 |
The e number, Euler's number, Neper's number | Show source | Show source | 2.71828182845904523536 |
| 1618 | 100000000000 |
The Euler-Mascheroni constant | Show source | Show source | 0.57721566490153286060 |
| 1735 | 477511832674 |
Golden ratio, golden mean, golden section, extreme and mean ratio, medial section, divine proportion, divine section, golden proportion, golden cut, golden number | Show source | Show source | 1.61803398874989484820 |
| 300-200 BC | 3000000000100 |
Silver ratio | Show source | Show source | 2.41421356237309504 |
| Ancient times | No data |
Twice the pi number | Show source | Show source | 6.28318530717958648 |
| 2600 BC | 22459157718361 |
Inverse of π number | Show source | Show source | 0.31830988618379067153 |
| No data | No data |
Cube root of 2, Delian constant | Show source | Show source | 1.25992104989487316476 |
| No data | No data |
Square root of 2π | Show source | Show source | 2.50662827463100050241 |
| 1692, 1770 | No data |
Square root of Tau × e | Show source | Show source | 4.13273135412249293846 |
| No data | No data |
Favard constant K1, Wallis product | Show source | Show source | 1.57079632679489661923 |
| 1655 | No data |
Theodorus constant | Show source | Show source | 1.73205080756887729352 |
| 465-398 BC | No data |
Universal parabolic constant | Show source | Show source | 2.29558714939263807403 |
| No data | No data |
Natural logarithm of 2 | Show source | Show source | 0.69314718055994530941 |
| 1550-1617 | No data |
Reciprocal of the Euler-Mascheroni constant | Show source | Show source | 1.73245471460063347358 |
| No data | No data |
Silver root, Tutte-Beraha constant | Show source | Show source | 3.24697960371746706105 |
| No data | No data |
Fourth root of five | Show source | Show source | 1.49534878122122054191 |
| No data | No data |
π squared | Show source | Show source | 9.86960440108935861883 |
| No data | No data |
Froda constant | Show source | Show source | 6.58088599101792097085 |
| No data | No data |
Tribonacci constant | Show source | Show source | 1.83928675521416113255 |
| No data | No data |
π to π-ith power | Show source | Show source | 36.4621596072079117709 |
| No data | No data |
Exponential reiterated constant | Show source | Show source | 15.1542622414792641897 |
| No data | No data |
Square root of the number e | Show source | Show source | 1.64872127070012814684 |
| No data | No data |
Square root of 2, Pythagoras constant | Show source | Show source | 1.41421356237309504880 |
| No data | 10000000000000 |
Conic constant, Schwarzschild constant | Show source | Show source | 7.38905609893065022723 |
| No data | No data |
Inverse of number e | Show source | Show source | 0.36787944117144232159 |
| 1618 | No data |
Imaginary number | Show source | Show source | i |
| 1501-1576 | - |
Square root of 5, Gauss sum | Show source | Show source | 2.23606797749978969640 |
| No data | No data |
Mathematical analysis#
Typical names | Common symbol | Possible definition or way of calculation | Approximated value | Example usage or connotations | Known at least since | Number of known digits after the point (state on 2019) |
The pi number, ludolfine, Archimedes number | Show source | Show source | 3.14159265358979323846 |
| 2600 BC | 22459157718361 |
The e number, Euler's number, Neper's number | Show source | Show source | 2.71828182845904523536 |
| 1618 | 100000000000 |
The Gauss's constant | Show source | Show source | 0.83462684167407318628 | 30.05.1799 | No data | |
Fransen-Robinson constant | Show source | Show source | 2.80777024202851936522 |
| 1978 | 1025 |
Van der Pauw constant | Show source | Show source | 4.53236014182719380962 |
| No data | No data |
Hyperbolic tangent of 1 | Show source | Show source | 0.76159415595576488811 |
| No data | No data |
Chebyshev constant | Show source | Show source | 0.59017029950804811302 |
| No data | No data |
MKB constant | Show source | Show source | 0.07077603931152880353 - 0.684000389437932129 i |
| 2009 | No data |
Double factorial constant | Show source | Show source | 3.05940740534257614453 |
| No data | No data |
Lebesgue constant L2 | Show source | Show source | 1.64218843522212113687 |
| 1910 | No data |
Goh-Schmutz constant | Show source | Show source | 1.11786415118994497314 |
| No data | No data |
Fixed points super-logarithm tetration | Show source | Show source | 0.31813150520476413531 ± 1.33723570143068940 i |
| No data | No data |
Bernsteins constant | Show source | Show source | 0.28016949902386913303 |
| 1913 | No data |
Chi Function, hyperbolic cosine integral | Show source | Show source | 0.52382257138986440645 |
| No data | No data |
Laplace limit | Show source | Show source | 0.66274341934918158097 |
| 1782 | No data |
Beta(1) | Show source | Show source | 0.78539816339744830961 |
| 1805-1859 | No data |
Sophomores dream I1 | Show source | Show source | 0.78343051071213440705 |
| 1697 | No data |
Sophomores dream I2 | Show source | Show source | 1.29128599706266354040 |
| 1697 | No data |
Wallis Constant | Show source | Show source | 2.09455148154232659148 |
| 1616-1703 | No data |
Time constant | Show source | Show source | 0.63212055882855767840 |
| No data | No data |
Lemniscate constant | Show source | Show source | 5.24411510858423962092 |
| 1718 | 250000000000 |
Baker constant | Show source | Show source | 0.83564884826472105333 |
| No data | No data |
Kempner-Reihe Kempner Serie(0) | Show source | Show source | 23.1034479094205416160 |
| No data | No data |
Kneser-Mahler polynomial constant | Show source | Show source | 1.38135644451849779337 |
| 1963 | No data |
Infinite product constant | Show source | Show source | 1.75874362795118482469 |
| 1977 | No data |
Spiral of Theodorus | Show source | Show source | 1.86002507922119030718 |
| 460-399 BC | No data |
Nested radical S5 | Show source | Show source | 2.79128784747792000329 |
| No data | No data |
Ioachimescu constant | Show source | Show source | 0.53964549119041318711 |
| No data | No data |
Khinchin harmonic mean | Show source | Show source | 1.74540566240734686349 |
| No data | No data |
Lemniscate constant | Show source | Show source | 2.62205755429211981046 |
| 1798 | No data |
Glaisher-Kinkelin constant | Show source | Show source | 1.28242712910062263687 |
| No data | No data |
The value of Digamma function in point 1/4 | Show source | Show source | -4.227453533376265408 |
| No data | No data |
The value of Gamma function in point 1/4 | Show source | Show source | 3.62560990822190831193 |
| 1729 | 100000000000 |
Magic angle | Show source | Show source | 0.955316618124509278163 |
| No data | No data |
Minimum value of function ƒ(x) = xx | Show source | Show source | 0.69220062755534635386 |
| No data | No data |
MRB constant, Marvin Ray Burns | Show source | Show source | 0.18785964246206712024 |
| 1999 | 6 |
Machin-Gregory serie | Show source | Show source | 0.46364760900080611621 |
| No data | No data |
Buffon constant | Show source | Show source | 0.63661977236758134307 |
| 1540-1603 | No data |
Omega constant, Lambert W function | Show source | Show source | 0.56714329040978387299 |
| No data | No data |
Geometry#
Typical names | Common symbol | Possible definition or way of calculation | Approximated value | Example usage or connotations | Known at least since | Number of known digits after the point (state on 2019) |
The pi number, ludolfine, Archimedes number | Show source | Show source | 3.14159265358979323846 |
| 2600 BC | 22459157718361 |
Twice the pi number | Show source | Show source | 6.28318530717958648 |
| 2600 BC | 22459157718361 |
Hermite constant sphere packing 3D Kepler conjecture | Show source | Show source | 0.74048048969306104116 |
| 1611 | No data |
Fractal dimension of the Apollonian packing of circles | Show source | Show source | 1.305686729 |
| 1994, 1998 | No data |
Cube root of 2, Delian constant | Show source | Show source | 1.25992104989487316476 |
| No data | No data |
Volume of Reuleaux tetrahedron | Show source | Show source | 0.42215773311582662702 |
| No data | No data |
Golden angle | Show source | Show source | 2.39996322972865332223 |
| No data | No data |
Chi Function, hyperbolic cosine integral | Show source | Show source | 0.52382257138986440645 |
| No data | No data |
Area bounded by the eccentric rotation of Reuleaux triangle | Show source | Show source | 0.98770039073605346013 |
| No data | No data |
Area of the regular hexagon with side equal to 1 | Show source | Show source | 2.59807621135331594029 |
| No data | No data |
DeVicci's tesseract constant | Show source | Show source | 1.00743475688427937609 |
| No data | No data |
Relationship among the area of an equilateral triangle and the inscribed circle | Show source | Show source | 0.60459978807807261686 |
| No data | No data |
Hermite constant | Show source | Show source | 1.15470053837925152901 |
| No data | No data |
Calabi triangle constant | Show source | Show source | 1.55138752454832039226 |
| 1946 | No data |
Robbins constant | Show source | Show source | 0.66170718226717623515 |
| 1978 | No data |
Golden spiral | Show source | Show source | 1.35845627418298843520 |
| No data | No data |
π squared | Show source | Show source | 9.86960440108935861883 |
| No data | No data |
The ratio of a square and circle circumscribed | Show source | Show source | 1.11072073453959156175 |
| No data | No data |
Figure eight knot hyperbolic volume | Show source | Show source | 2.02988321281930725004 |
| No data | No data |
Khinchin harmonic mean | Show source | Show source | 1.74540566240734686349 |
| No data | No data |
Gieseking-Konstante constant | Show source | Show source | 1.01494160640965362502 |
| 1912 | No data |
Magic angle | Show source | Show source | 0.955316618124509278163 |
| No data | No data |
Steiner number, Iterated exponential constant | Show source | Show source | 1.44466786100976613365 |
| No data | No data |
Number theory#
Typical names | Common symbol | Possible definition or way of calculation | Approximated value | Example usage or connotations | Known at least since | Number of known digits after the point (state on 2019) |
The Euler-Mascheroni constant | Show source | Show source | 0.57721566490153286060 |
| 1735 | 477511832674 |
The Khinchin's constant | Show source | Show source | 2.68545200106530644 |
| 1934 | 7350 |
The Erdős-Borwein's constant | Show source | Show source | 1.60669515241529176378 |
| 1949 | No data |
The Meissel-Mertens's constant, Mertens constant, Kronecker's constant, Hadamard–de la Vallée-Poussin constant, the prime reciprocal constant | Show source | Show source | 0.26149721284764278375 |
| 1866, 1873 | 8010 |
The Brun's constant for twin primes (sum of inverse of twin primes) | Show source | Show source | 1.902160583104 |
| 1919 | 12 |
The Brun's constant for prime quadruplets (sum of inverse of prime quadruplets) | Show source | Show source | 0.8705883800 |
| No data | 8 |
The Stała Legendre's constant | Show source | Show source | 1 |
| 1808 | - |
The Sierpiński's constant | Show source | Show source | 2.58498175957925321706 |
| 1907 | No data |
The twin primes constant | Show source | Show source | 0.66016181584686957392 |
| 1922 | 5020 |
The Ramanujan-Soldner constant, Soldner's constant, zero of the integral logarithm | Show source | Show source | 1.45136923488338105028 |
| 1792-1809 | 75500 |
De Bruijn-Newman's constant | Show source | Show source | Λ ∈ [0; 1/2) |
| 1950 | - |
Gauss-Kuzmin-Wirsing constant | Show source | Show source | 0.30366300289873265859 |
| 1973 | 468 |
Landau-Ramanujan constant | Show source | Show source | 0.76422365358922066299 |
| No data | 30010 |
Sum of the reciprocals of the averages of the twin prime pairs, JJGJJG | Show source | Show source | 0.9288358271 |
| 2014 | No data |
Smarandache constant | Show source | Show source | 1.09317045919549089396 |
| No data | No data |
Raabes formula | Show source | Show source | 0.91893853320467274178 |
| No data | No data |
Salem number, Lehmer's conjecture | Show source | Show source | 1.17628081825991750654 |
| 1983 (?) | No data |
Artin's constant | Show source | Show source | 0.37395581361920228805 |
| 1999 | No data |
Murata Constant | Show source | Show source | 2.82641999706759157554 |
| No data | No data |
Vardi constant | Show source | Show source | 1.26408473530530111307 |
| 1991 | No data |
Exponential factorial constant | Show source | Show source | 1.611114925808376736111 |
| No data | No data |
Gelfond-Schneider constant | Show source | Show source | 2.66514414269022518865 |
| 1934 | No data |
Khinchin-Lévy constant (gamma) | Show source | Show source | 3.27582291872181115978 |
| 1936 | No data |
Viswanath constant | Show source | Show source | 1.1319882487943 |
| No data | 8 |
Favard constant | Show source | Show source | 1.23370055013616982735 |
| 1902, 1965 | No data |
Lochs constant | Show source | Show source | 0.97027011439203392574 |
| 1964 | No data |
Carefree constant | Show source | Show source | 0.70444220099916559273 |
| No data | No data |
The value of Riemman Zeta function in point 2 | Show source | Show source | 1.64493406684822643647 |
| 1826-1866 | No data |
The Apéry's constant | Show source | Show source | 1.20205690315959428539 |
| 1979 | 500000000000 |
The value of Riemman Zeta function in point 4 | Show source | Show source | 1.08232323371113819151 |
| No data | No data |
The value of Riemman Zeta function in point 5 | Show source | Show source | 1.0369277551433699263 |
| No data | 100000000000 |
The value of Riemman Zeta function in point 6 | Show source | Show source | 1.01734306198444913971 |
| No data | No data |
Kasner number | Show source | Show source | 1.75793275661800453270 |
| 1878, 1955 | No data |
Feller-Tornier constant | Show source | Show source | 0.66131704946962233528 |
| 1932 | No data |
Niven's constant | Show source | Show source | 1.70521114010536776428 |
| 1969 | No data |
Pell constant | Show source | Show source | 0.58057755820489240229 |
| No data | No data |
Hall-Montgomery Constant | Show source | Show source | 0.17150049314153606586 |
| No data | No data |
Value of Gamma function of 3/4 | Show source | Show source | 1.22541670246517764512 |
| No data | No data |
Heath-Brown-Moroz constant | Show source | Show source | 0.00131764115485317810 |
| No data | No data |
Primorial constant, sum of the product of inverse of primes | Show source | Show source | 0.70523017179180096514 |
| No data | No data |
Minkowski-Siegel mass constant | Show source | Show source | 1.04633506677050318098 |
| 1867-1885, 1935 | No data |
Khinchin-Lévy constant (beta) | Show source | Show source | 1.18656911041562545282 |
| 1935 | No data |
Nielsen-Ramanujan constant | Show source | Show source | 0.82246703342411321823 |
| 1909 | No data |
Stephens constant | Show source | Show source | 0.57595996889294543964 |
| No data | No data |
Alladi-Grinstead constant | Show source | Show source | 0.80939402054063913071 |
| 1977 | No data |
Reciprocal of the Euler-Mascheroni constant | Show source | Show source | 1.73245471460063347358 |
| No data | No data |
Euler totient constant | Show source | Show source | 1.94359643682075920505 |
| 1750 | No data |
Area of Ford circle | Show source | Show source | 0.87228404106562797617 |
| No data | No data |
Triangular root of 2 | Show source | Show source | 1.56155281280883027491 |
| No data | No data |
Lévy constant (2) | Show source | Show source | 2.37313822083125090564 |
| 1936 | No data |
Liouville number | Show source | Show source | 0.110001000000000000000001 |
| No data | No data |
Backhouse's constant | Show source | Show source | 1.45607494858268967139 |
| 1995 | No data |
Copeland-Erdős constant | Show source | Show source | 0.23571113171923293137 |
| No data | No data |
Mills' constant | Show source | Show source | 1.30637788386308069046 |
| 1947 | 6850 |
Glaisher-Kinkelin constant | Show source | Show source | 1.28242712910062263687 |
| No data | No data |
The value of Digamma function in point 1/4 | Show source | Show source | -4.227453533376265408 |
| No data | No data |
Strongly Carefree constant | Show source | Show source | 0.28674742843447873410 |
| No data | No data |
The value of Gamma function in point 1/4 | Show source | Show source | 3.62560990822190831193 |
| 1729 | 100000000000 |
Ramanujan-Forsyth series | Show source | Show source | 1.27323954473516268615 |
| No data | No data |
Porter's constant | Show source | Show source | 1.46707807943397547289 |
| 1974 | No data |
Golomb-Dickman constant | Show source | Show source | 0.62432998854355087099 |
| 1930, 1964 | No data |
Gelfond's constant | Show source | Show source | 23.1406926327792690057 |
| No data | No data |
Hafner-Sarnak-McCurley constant (1) | Show source | Show source | 0.35323637185499598454 |
| 1993 | No data |
Hafner-Sarnak-McCurley constant (2) | Show source | Show source | 0.60792710185402662866 |
| No data | No data |
Champernowne constant | Show source | Show source | 0.12345678910111213141 |
| 1933 | No data |
Wright constant | Show source | Show source | 1.9287800 |
| No data | No data |
Ramanujan nested radical | Show source | Show source | 2.74723827493230433305 |
| No data | No data |
Beta(3) | Show source | Show source | 0.96894614625936938048 |
| No data | No data |
Architecture and art#
Typical names | Common symbol | Possible definition or way of calculation | Approximated value | Example usage or connotations | Known at least since | Number of known digits after the point (state on 2019) |
Golden ratio, golden mean, golden section, extreme and mean ratio, medial section, divine proportion, divine section, golden proportion, golden cut, golden number | Show source | Show source | 1.61803398874989484820 |
| 300-200 BC | 3000000000100 |
Silver ratio | Show source | Show source | 2.41421356237309504 |
| Ancient times | No data |
Bronze ratio | Show source | Show source | 3.30277563773199464655 |
| No data | No data |
Plastic number, plastic constant, the plastic ratio, the minimal Pisot number, the platin number | Show source | Show source | 1.32471795724474602596 |
| 1928 | No data |
Musical interval between each half tone | Show source | Show source | 1.05946309435929526456 |
| No data | No data |
Chaos theory#
Typical names | Common symbol | Possible definition or way of calculation | Approximated value | Example usage or connotations | Known at least since | Number of known digits after the point (state on 2019) |
The first Feigenbaum's constant | Show source | Show source | 4.66920160910299067185 |
| 1975 | No data |
The second Feigenbaum's constant | Show source | Show source | 2.50290787509589282228 |
| 1979 | No data |
Dottie number | Show source | Show source | 0.73908513321516064165 |
| No data | No data |
Fractals#
Typical names | Common symbol | Possible definition or way of calculation | Approximated value | Example usage or connotations | Known at least since | Number of known digits after the point (state on 2019) |
The first Feigenbaum's constant | Show source | Show source | 4.66920160910299067185 |
| 1975 | No data |
The second Feigenbaum's constant | Show source | Show source | 2.50290787509589282228 |
| 1979 | No data |
The Sierpiński's constant | Show source | Show source | 2.58498175957925321706 |
| 1907 | No data |
Fractal dimension of the Apollonian packing of circles | Show source | Show source | 1.305686729 |
| 1994, 1998 | No data |
Fractal dimension of the Cantor set | Show source | Show source | 0.63092975357145743709 |
| No data | No data |
Area of the Mandelbrot fractal | Show source | Show source | 1.5065918849 ± 0.0000000028 |
| 1912 | No data |
Fractal dimension of the Koch snowflake | Show source | Show source | 1.26185950714291487419 |
| No data | No data |
Fractal dimension of the boundary of the dragon curve | Show source | Show source | 1.52362708620249210627 |
| No data | No data |
Hausdorff dimension | Show source | Show source | 1.58496250072115618145 |
| No data | No data |
Combinatoricts#
Typical names | Common symbol | Possible definition or way of calculation | Approximated value | Example usage or connotations | Known at least since | Number of known digits after the point (state on 2019) |
The Catalan's constant | Show source | Show source | 0.91596559417721901505 |
| 1864 | 300000000000 |
Gauss-Kuzmin-Wirsing constant | Show source | Show source | 0.30366300289873265859 |
| 1973 | 468 |
Liebs square ice constant | Show source | Show source | 1.53960071783900203869 |
| 1967 | No data |
Madelung constant 2 | Show source | Show source | 5.97798681217834912266 |
| No data | No data |
Paris Constant | Show source | Show source | 1.09864196439415648573 |
| 1992 | No data |
Komornik-Loreti constant | Show source | Show source | 1.78723165018296593301 |
| 1998 | No data |
Disk Covering | Show source | Show source | 0.82699334313268807426 |
| No data | No data |
Hermite constant | Show source | Show source | 1.15470053837925152901 |
| No data | No data |
Golomb-Dickman constant | Show source | Show source | 0.62432998854355087099 |
| 1930, 1964 | No data |
Prime numbers#
Typical names | Common symbol | Possible definition or way of calculation | Approximated value | Example usage or connotations | Known at least since | Number of known digits after the point (state on 2019) |
The twin primes constant | Show source | Show source | 0.66016181584686957392 |
| 1922 | 5020 |
Landau-Ramanujan constant | Show source | Show source | 0.76422365358922066299 |
| No data | 30010 |
π to e-th power | Show source | Show source | 22.45915771836104547342 |
| No data | No data |
Sum of the reciprocals of the averages of the twin prime pairs, JJGJJG | Show source | Show source | 0.9288358271 |
| 2014 | No data |
Artin's constant | Show source | Show source | 0.37395581361920228805 |
| 1999 | No data |
Murata Constant | Show source | Show source | 2.82641999706759157554 |
| No data | No data |
Carefree constant | Show source | Show source | 0.70444220099916559273 |
| No data | No data |
The value of Riemman Zeta function in point 2 | Show source | Show source | 1.64493406684822643647 |
| 1826-1866 | No data |
The Apéry's constant | Show source | Show source | 1.20205690315959428539 |
| 1979 | 500000000000 |
The value of Riemman Zeta function in point 4 | Show source | Show source | 1.08232323371113819151 |
| No data | No data |
The value of Riemman Zeta function in point 5 | Show source | Show source | 1.0369277551433699263 |
| No data | 100000000000 |
The value of Riemman Zeta function in point 6 | Show source | Show source | 1.01734306198444913971 |
| No data | No data |
Silverman constant | Show source | Show source | 1.78657645936592246345 |
| No data | No data |
Feller-Tornier constant | Show source | Show source | 0.66131704946962233528 |
| 1932 | No data |
Heath-Brown-Moroz constant | Show source | Show source | 0.00131764115485317810 |
| No data | No data |
Primorial constant, sum of the product of inverse of primes | Show source | Show source | 0.70523017179180096514 |
| No data | No data |
Sarnak constant | Show source | Show source | 0.72364840229820000940 |
| No data | No data |
Foias constant (α) | Show source | Show source | 1.18745235112650105459 |
| 2000 | No data |
Foias constant (β) | Show source | Show source | 2.29316628741186103150 |
| 2000 | No data |
Taniguchi constant | Show source | Show source | 0.67823449191739197803 |
| No data | No data |
Euler totient constant | Show source | Show source | 1.94359643682075920505 |
| 1750 | No data |
Backhouse's constant | Show source | Show source | 1.45607494858268967139 |
| 1995 | No data |
Glaisher-Kinkelin constant | Show source | Show source | 1.28242712910062263687 |
| No data | No data |
Strongly Carefree constant | Show source | Show source | 0.28674742843447873410 |
| No data | No data |
Hafner-Sarnak-McCurley constant (1) | Show source | Show source | 0.35323637185499598454 |
| 1993 | No data |
Hafner-Sarnak-McCurley constant (2) | Show source | Show source | 0.60792710185402662866 |
| No data | No data |
Wright constant | Show source | Show source | 1.9287800 |
| No data | No data |
Statistics#
Typical names | Common symbol | Possible definition or way of calculation | Approximated value | Example usage or connotations | Known at least since | Number of known digits after the point (state on 2019) |
The Gauss's constant | Show source | Show source | 0.83462684167407318628 | 30.05.1799 | No data | |
Median of the Gumbel distribution | Show source | Show source | 0.36651292058166432701 |
| No data | No data |
Khinchin harmonic mean | Show source | Show source | 1.74540566240734686349 |
| No data | No data |
Approximation of functions#
Typical names | Common symbol | Possible definition or way of calculation | Approximated value | Example usage or connotations | Known at least since | Number of known digits after the point (state on 2019) |
Fransen-Robinson constant | Show source | Show source | 2.80777024202851936522 |
| 1978 | 1025 |
Chebyshev constant | Show source | Show source | 0.59017029950804811302 |
| No data | No data |
Lebesgue constant L2 | Show source | Show source | 1.64218843522212113687 |
| 1910 | No data |
Bernsteins constant | Show source | Show source | 0.28016949902386913303 |
| 1913 | No data |
Laplace limit | Show source | Show source | 0.66274341934918158097 |
| 1782 | No data |
Lebesgue constant | Show source | Show source | 0.98943127383114695174 |
| No data | No data |
Lebesgue constant (interpolation) | Show source | Show source | 1.43599112417691743235 |
| 1902 | No data |
Gibbs constant | Show source | Show source | 1.85193705198246617036 |
| No data | No data |
Topology#
Typical names | Common symbol | Possible definition or way of calculation | Approximated value | Example usage or connotations | Known at least since | Number of known digits after the point (state on 2019) |
Hermite constant sphere packing 3D Kepler conjecture | Show source | Show source | 0.74048048969306104116 |
| 1611 | No data |
Complex analysis#
Typical names | Common symbol | Possible definition or way of calculation | Approximated value | Example usage or connotations | Known at least since | Number of known digits after the point (state on 2019) |
Infinite tetration of i | Show source | Show source | 0.43828293672703211162 + 0.360592471871385485 i |
| No data | No data |
i to i-th power | Show source | Show source | 0.20787957635076190854 |
| 1746 | No data |
Hyperbolic tangent of 1 | Show source | Show source | 0.76159415595576488811 |
| No data | No data |
Generalized continued fraction of i | Show source | Show source | 0.62481053384382658687 + 1.300242590220120419 i |
| No data | No data |
Module of infinite tetration of i | Show source | Show source | 0.56755516330695782538 |
| No data | No data |
Factorial(i) | Show source | Show source | 0.49801566811835604271 + 0.15494982830181068512 i |
| No data | No data |
Square root of i | Show source | Show source | 0.70710678118654752440 + 0.707106781186547524 i |
| No data | No data |
John constant | Show source | Show source | 4.81047738096535165547 |
| No data | No data |
Cube root of 1 | Show source | Show source | -0.5 ± 0.86602540378443864676 i |
| No data | No data |
Ioachimescu constant | Show source | Show source | 0.53964549119041318711 |
| No data | No data |
Masser-Gramain constant | Show source | Show source | 0.64624543989481330426 |
| No data | No data |
Exp.gamma, Barnes G-function | Show source | Show source | 1.78107241799019798523 |
| No data | No data |
Bloch-Landau constant | Show source | Show source | 0.54325896534297670695 |
| 1929 | No data |
Imaginary number | Show source | Show source | i |
| 1501-1576 | - |
Tetration (hyper-4)#
Typical names | Common symbol | Possible definition or way of calculation | Approximated value | Example usage or connotations | Known at least since | Number of known digits after the point (state on 2019) |
Infinite tetration of i | Show source | Show source | 0.43828293672703211162 + 0.360592471871385485 i |
| No data | No data |
Exponential factorial constant | Show source | Show source | 1.611114925808376736111 |
| No data | No data |
Fixed points super-logarithm tetration | Show source | Show source | 0.31813150520476413531 ± 1.33723570143068940 i |
| No data | No data |
Module of infinite tetration of i | Show source | Show source | 0.56755516330695782538 |
| No data | No data |
Lower limit of Tetration | Show source | Show source | 0.06598803584531253707 |
| No data | No data |
Upper iterated exponential | Show source | Show source | 0.69034712611496431946 |
| No data | No data |
Lower limit iterated exponential | Show source | Show source | 0.6583655992 |
| No data | No data |
Wright constant | Show source | Show source | 1.9287800 |
| No data | No data |
Algebra#
Typical names | Common symbol | Possible definition or way of calculation | Approximated value | Example usage or connotations | Known at least since | Number of known digits after the point (state on 2019) |
Flajolet-Richmond constant | Show source | Show source | 0.28878809508660242127 |
| 1992 | No data |
Goh-Schmutz constant | Show source | Show source | 1.11786415118994497314 |
| No data | No data |
Fixed points super-logarithm tetration | Show source | Show source | 0.31813150520476413531 ± 1.33723570143068940 i |
| No data | No data |
Hermite-Ramanujan constant | Show source | Show source | 262537412640768743 + 0.999999999999250073 |
| 1859 | No data |
Discrete structures#
Typical names | Common symbol | Possible definition or way of calculation | Approximated value | Example usage or connotations | Known at least since | Number of known digits after the point (state on 2019) |
Liebs square ice constant | Show source | Show source | 1.53960071783900203869 |
| 1967 | No data |
Madelung constant 2 | Show source | Show source | 5.97798681217834912266 |
| No data | No data |
Disk Covering | Show source | Show source | 0.82699334313268807426 |
| No data | No data |
Connective constant | Show source | Show source | 1.84775906502257351225 |
| No data | No data |
Baxter's four-coloring constant | Show source | Show source | 1.46099848620631835815 |
| 1970 | No data |
Hermite constant | Show source | Show source | 1.15470053837925152901 |
| No data | No data |
Dimer constant 2D, Domino tiling | Show source | Show source | 0.29156090403081878013 |
| No data | No data |
Rényi's Parking Constant | Show source | Show source | 0.74759792025341143517 |
| No data | No data |
Pólya Random walk constant | Show source | Show source | 0.34053732955099914282 |
| No data | No data |
Golomb-Dickman constant | Show source | Show source | 0.62432998854355087099 |
| 1930, 1964 | No data |
Riemann zeta function#
Typical names | Common symbol | Possible definition or way of calculation | Approximated value | Example usage or connotations | Known at least since | Number of known digits after the point (state on 2019) |
Raabes formula | Show source | Show source | 0.91893853320467274178 |
| No data | No data |
Favard constant | Show source | Show source | 1.23370055013616982735 |
| 1902, 1965 | No data |
The value of Riemman Zeta function in point 2 | Show source | Show source | 1.64493406684822643647 |
| 1826-1866 | No data |
The Apéry's constant | Show source | Show source | 1.20205690315959428539 |
| 1979 | 500000000000 |
The value of Riemman Zeta function in point 4 | Show source | Show source | 1.08232323371113819151 |
| No data | No data |
The value of Riemman Zeta function in point 5 | Show source | Show source | 1.0369277551433699263 |
| No data | 100000000000 |
The value of Riemman Zeta function in point 6 | Show source | Show source | 1.01734306198444913971 |
| No data | No data |
Niven's constant | Show source | Show source | 1.70521114010536776428 |
| 1969 | No data |
Nielsen-Ramanujan constant | Show source | Show source | 0.82246703342411321823 |
| 1909 | No data |
Euler totient constant | Show source | Show source | 1.94359643682075920505 |
| 1750 | No data |
Area of Ford circle | Show source | Show source | 0.87228404106562797617 |
| No data | No data |
π squared | Show source | Show source | 9.86960440108935861883 |
| No data | No data |
Ioachimescu constant | Show source | Show source | 0.53964549119041318711 |
| No data | No data |
Hafner-Sarnak-McCurley constant (2) | Show source | Show source | 0.60792710185402662866 |
| No data | No data |
Fibonacci numbers#
Typical names | Common symbol | Possible definition or way of calculation | Approximated value | Example usage or connotations | Known at least since | Number of known digits after the point (state on 2019) |
Fibonacci factorial constant | Show source | Show source | 1.22674201072035324441 |
| No data | No data |
Gelfond-Schneider constant | Show source | Show source | 2.66514414269022518865 |
| 1934 | No data |
Viswanath constant | Show source | Show source | 1.1319882487943 |
| No data | 8 |
Tetranacci constant | Show source | Show source | 1.92756197548292530426 |
| No data | No data |
Prévost constant, Reciprocal Fibonacci constant | Show source | Show source | 3.35988566624317755317 |
| No data | No data |
Functional iteration#
Typical names | Common symbol | Possible definition or way of calculation | Approximated value | Example usage or connotations | Known at least since | Number of known digits after the point (state on 2019) |
Kepler-Bouwkamp constant | Show source | Show source | 0.11494204485329620070 |
| No data | No data |
Prouhet-Thue-Morse constant | Show source | Show source | 0.41245403364010759778 |
| No data | No data |
Plouffe's gamma constant | Show source | Show source | 0.14758361765043327417 |
| No data | No data |
Plouffe's A constant | Show source | Show source | 0.15915494309189533576 |
| No data | No data |
Conway constant | Show source | Show source | 1.30357726903429639125 |
| 1987 | No data |
Weierstrass constant | Show source | Show source | 0.47494937998792065033 |
| 1872 | No data |
Gauss's Lemniscate constant | Show source | Show source | 1.85407467730137191843 |
| No data | No data |
Regular paperfolding sequence | Show source | Show source | 0.85073618820186726036 |
| No data | No data |
Cubic recurrence constant | Show source | Show source | 1.15636268433226971685 |
| No data | No data |
Cahens constant | Show source | Show source | 0.64341054628833802618 |
| 1891 | No data |
Lemniscate constant | Show source | Show source | 2.62205755429211981046 |
| 1798 | No data |
Somos' quadratic recurrence constant | Show source | Show source | 1.66168794963359412129 |
| No data | No data |
Euler-Gompertz constant | Show source | Show source | 0.59634736232319407434 |
| No data | No data |
Analytic inequalities#
Typical names | Common symbol | Possible definition or way of calculation | Approximated value | Example usage or connotations | Known at least since | Number of known digits after the point (state on 2019) |
2nd du Bois-Reymond constant | Show source | Show source | 0.19452804946532511361 |
| No data | No data |
Grothendieck constant | Show source | Show source | 1.78221397819136911177 |
| No data | No data |
Carlson-Levin constant | Show source | Show source | 1.77245385090551602729 |
| No data | No data |
Continued fractions#
Typical names | Common symbol | Possible definition or way of calculation | Approximated value | Example usage or connotations | Known at least since | Number of known digits after the point (state on 2019) |
Lüroth constant | Show source | Show source | 0.78853056591150896106 |
| No data | No data |
Trott constant | Show source | Show source | 0.10841015122311136151 |
| No data | No data |
Continued fraction constant | Show source | Show source | 0.69777465796400798200 |
| No data | No data |
Euler-Gompertz constant | Show source | Show source | 0.59634736232319407434 |
| No data | No data |
Embree-Trefethen constant | Show source | Show source | 0.70258 |
| No data | No data |
Information theory#
Typical names | Common symbol | Possible definition or way of calculation | Approximated value | Example usage or connotations | Known at least since | Number of known digits after the point (state on 2019) |
Dottie number | Show source | Show source | 0.73908513321516064165 |
| No data | No data |
Chaitin's constant | Show source | Show source | 0.0078749969978123844 |
| 1975 | No data |
Some facts#
- It's rather easy to say what are physical constants such as the speed of light in a vacuum, but defining mathematical constants can pose a lot of difficulty.
- In practice various fields of mathematics provide different definitions of what the constant is. So, the concept of a mathematical constant depends on the context.
- Most often when we talk about mathematical constants, we mean specific numbers which for some reason are relevant in given context or simply useful. Therefore, this is not a strict definition, and the main criterion here is the usefulness of such and no other selection of constants. Examples of such constants are:
- the number (read as: number pi) being the ratio of the circumference to the diameter:
- and the number (read as: number tau) which is twice the number :
- the number (read as: number pi) being the ratio of the circumference to the diameter:
- Some fields of mathematics try to define a constant in a more formal way. For example, an abstract algebra defines a constant as a zero-argument function. So, the mathemical constant is a function that does not accept any arguments and always returns the same number.
- Often a given constant can be calculated in different ways e.g. there are many methods for calculating the e number:
- as the limit of the sequence:
- but also as an infinite sum of a serie:
- etc.
- as the limit of the sequence:
Tags and links to this website#
What tags this calculator has#
Permalink#
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