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The logotropic model [P.H. Chavanis, Eur. Phys. J. Plus {\bf 130}, 130(2015)] may be an interesting alternative to the $\Lambda$CDM model. It is ableto account for the present accelerating expansion of the universe while solvingat the same time the core-cusp problem of the CDM model. In the logotropicmodel, there is a single dark fluid. Its rest-mass plays the role of darkmatter and its internal energy plays the role of dark energy. We highlight tworemarkable predictions of the logotropic model. It yields cored dark matterhalos with a universal surface density equal to $\Sigma_0^{\rm th}=0.01955c\sqrt{\Lambda}/G=133\, M_{\odot}/{\rm pc}^2$ without free parameter in verygood agreement with the observational value $\Sigma_0^{\rmobs}=141_{-52}^{+83}\, M_{\odot}/{\rm pc}^2$. It also predicts the presentratio of dark energy and dark matter to be the pure number $\Omega_{\rmde,0}^{\rm th}/\Omega_{\rm dm,0}^{\rm th}=e=2.71828...$ in very good agreementwith the observations giving $\Omega_{\rm de,0}^{\rm obs}/\Omega_{\rmdm,0}^{\rm obs}=2.669\pm 0.08$. Using the measured present proportion ofbaryonic matter $\Omega_{\rm b,0}^{\rm obs}=0.0486\pm 0.0010$, we find that thevalues of the present proportion of dark matter and dark energy are$\Omega_{\rm dm,0}^{\rm th}=\frac{1}{1+e}(1-\Omega_{\rm b,0})=0.2559$ and$\Omega_{\rm de,0}^{\rm th}=\frac{e}{1+e}(1-\Omega_{\rm b,0})=0.6955$ in verygood agreement with the observational values $\Omega_{\rm dm,0}^{\rmobs}=0.2589\pm 0.0057$ and $\Omega_{\rm de,0}^{\rm obs}=0.6911\pm 0.0062$within the error bars. These theoretical predictions are obtained by advocatinga mysterious strong cosmic coincidence (dubbed "dark magic") implying that ourepoch plays a particular role in the history of the universe.

Predictions from the logotropic model: the universal surface density of dark matter halos and the present proportion of dark matter and dark energy