  We propose two novel two-state approximate Riemann solvers for the
compressible Euler equations which are provably entropy dissipative and
suitable for the simulation of low Mach numbers. What is new, is that one of
our two methods in addition is provably kinetic energy stable. Both methods are
based on the entropy satisfying and kinetic energy consistent methods of
Chandrashekar (2013). The low Mach number compliance is achieved by rescaling
some speed of sound terms in the diffusion matrix in the spirit of Li & Gu
(2008). In numerical tests we demonstrate the low Mach number compliance and
the entropy stability of the proposed fluxes.
