Electrical, magnetic and specific-heat properties of Pr-based cuprates, such as PrBa2-(Cu1-xGar)3O7, Pr2CuO4, PrBa2Cu2NbO8, and PrSr2Cu2.7Mo0.3O7 are presented and discussed. It was found that the value of normal state resistivity (such as p100 K) of these Pr-based cuprates is strongly correlated with the occurrence of superconductivity in their doped samples. Superconductivity occurs in doped Pr2CuO4 and PrSr2Cu2.7Mo0.3O7 samples, which have a small pr100 K and a low TN( < 0.6 K). A small (~3 mJ/Pr mol K^2) and a large (~200 mJ/Pr mol K^2) values of γ are observed in Pr2CuO4 and PrSr2Cu2.7Mo0.3O7, respectively, which are independent of the occurrence of superconductivity in doped samples. No superconductivity is observed in anysamples with large p100K and high TN(~10 K), such as in PrBa2Cu2NbO8 and PrBa2Cu3O7. There are no apparent correlations among reduced μeff, high TN, and large 7 in these Pr-based cuprates. These results are discussed in conjunction with the hybridization between Pr 4f electrons and Cu-O2 conduction bands in these unique Pr-based systems.