Midterm 1 will cover Sections 3 and 4.1, 4.2 in Rosen's book, that is prime numbers, distributions of primes, gcd, the Euclidean algorithm, the Fundamental Theorem of Arithmetic, factorization methods and Fermat numbers, linear Diophantine equations, congruences and linear congruences. Here are some more hints:

**Theorems and Definitions:**Make sure that you know all Theorems and Definitions that we discussed in class. You might be asked to reproduce the precise statement of Theorems and/or Definitions and then apply them in a given problem!**Proofs:**Make sure you understand all the proofs we did in class. At least one problem will be easy if you know all proofs we did in class!**Computational Problems:**Make sure you are fluent in using the Euclidean algorithm and the methods we learned to solve linear Diophantine equations.

The midterm will take place Friday October 27 from 1:10 to 2pm in our usual classroom. Since you have only 50 minutes, make sure that you
will be on time! This is a closed book exam, you only need to bring your pencil and eraser.

**Good luck!**