The result of $194^{595} \mod 1079$ is $51$.

Do you need further details or have any questions? Here are 5 related problems:

1. What is $256^{300} \mod 1024$?
2. Solve $17^{125} \mod 539$.
3. Can you calculate $9^{512} \mod 17$?
4. What is $245^{150} \mod 403$?
5. Compute $345^{198} \mod 789$.

Tip: Modular exponentiation can be efficiently computed using the method of "exponentiation by squaring." This is especially useful for large powers.