The plot of the prime harmonic sum up to n=2^{15}, 2^{16}, \ldots, 2^{46}=7.04\times 10^{13} and the Merten's approximation to it. The original of this figure has y axis of the length 8 cm and spans the interval (2.5, 3.8), so if the n axis would be plotted in the linear scale instead of logarithmic, then it should be 5.33(3)\times 10^9 km long --- that is the size of the Solar System.