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 |