formula.expert

Constants library

3 values, each with its units, its uncertainty, and where it came from.

Mathematical 3

Euler–Mascheroni Constant exact

γ=0.5772156649015329\gamma = 0.5772156649015329

dimensionlessThe limiting gap between the harmonic series and the natural logarithm, γ = 0.577215664901533 — still not known to be irrational.

Catalan's Constant exact

G=0.915965594177219G = 0.915965594177219

dimensionlessCatalan's constant G = 0.915965594177219 — the alternating sum of reciprocal odd squares, of unknown irrationality after 160 years.

Apéry's Constant exact

ζ(3)=1.2020569031595942\zeta(3) = 1.2020569031595942

dimensionlessApéry's constant ζ(3) = 1.20205690315959 — the sum of reciprocal cubes, proved irrational in 1978 and still with no closed form.