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We compute the three-loop scattering amplitude of four gravitons in${\mathcal N}=8$ supergravity. Our results are analytic formulae for a Laurentexpansion of the amplitude in the regulator of dimensional regularisation. Thecoefficients of this series are closed formulae in terms of well-establishedharmonic poly-logarithms. Our results display a remarkable degree of simplicityand represent an important stepping stone in the exploration of the structureof scattering amplitudes. In particular, we observe that to this loop order thefour graviton amplitude is given by uniform weight $2L$ functions, where $L$ isthe loop order.

Four-graviton scattering to three loops in ${\mathcal N}=8$ supergravity