A strong law of large numbers for pairwise independent identically distributed random variables with infinite means

A classical theorem on the growth of partial sums of independent identically distributed random variables with infinite expectations due to Feller [Feller, W., 1946. A limit theorem for random variables with infinite moments. Amer. J. Math. 66 (2), 257–262] is reinforced and generalized to the case of pairwise independent random variables.