The aim of the present article is to treat the Greek public debt issue strictly as a curve fitting problem. Thus, based on Eurostat data and using the Mathematica technical computing software, an exponential function that best fits the data is determined modelling how the Greek public debt expands with time. Exploring the main features of this best fit model, it is concluded that the Greek public debt cannot possibly be serviced in the long run unless a radical growth is implemented and/or part of the debt is written off.