Use Fermat’s Primality Test to detect whether 2001 and 2003 are composite or probably prime. Show your work (but you can use a calculator like Sage for the exponentiation).
If one of them is probably prime, then try a different a and explain what you learn.
Use the Miller-Rabin primality test with a=2 to determine if $n=90751$ is composite or probably prime. Show your steps.
If it comes up probably prime, try it with a=3. Show your steps.
Use Fermat Factoring to factor $n=16080$. Show the steps.