This note deals with the Mahler-Browkin p-adic continued fractions. The principal result is the following: For any prime p>2 and for any d ∈ ℕ, d odd, there are only finitely many m ∈ ℤ such that the p-adic continued fraction expansion of $$\sqrt m$$ ∈ ℚ is periodic with period of length d.