A nuclear ship doesn't generate thrust, it generates power. The Propeller generate thrust. Jet engines generate thrust because the engine is it's own propeller.
A nuclear powered ship generates power typically in form of steam and drives a turbine which is mechanically converted into a drivetrain to run the propeller. All of this is mechanical from steam turbine linked to a transmission and drivetrain. Thou French use a turbo-electric system of reactor power electricity running a motor.
This linkage Achieves a typical efficiency of 18-22 percent from initial reactor power to final shaft horsepower.
The NS Savannah had a 74 Megawatt (99,200 hp) reactor and converted to a single screw to make 22-24 thousand horsepower so a conversion efficiency of 22% average

The Nimitz class carrier had x2 550 Megawatt (1.475 Million Hp) Westinghouse A4W reactors and screw final output of 260,000 shaft horsepower; 17% efficient. But remember some of that steam also supplied generator power electric demand and lot of that steam is also siphoned to provide the catapault steam system to launch planes.
