Superconducting transition temperature T, and normal-state electrical resistivities p of the Tm,-,Pr,Ba,Cu,O,-, system have been measured. The results indicate that T, remains constant for z = 0 to 0.08 before it drops steadily with higher z. Following the Abrikosov-Gor'kov model, a total suppression of superconductivity occurs at a critical Pr concentration zcr E 0.56. It is found for the first time, as far as we know, that the logarithmic resistivity at 270 K increases linearly with increasing 5, yielding p = poeaz. Judging from the relation between dp/dT and a, a metal to insulator transition occurs just beyond zcr.