Which of these problem sets can you solve in an hour? Prove it!

1. 1 + 1
2. 1 + 2
3. 1 + 3
4. 1 + 4
5. 1 + 5

1. Construct a formula which calculates the sum of an arithmetic series.
2. Construct a formula which calculates the sum of a geometric series.
3. For any natural number n, count its partitions.
4. Determine an algorithm for base b radix addition.
5. Identify and prove the algebraic structure of (Q, +, x)

1. Yang-Mills and Mass Gap
2. The Riemann Hypothesis
3. P vs NP Problem
4. Navier-Stokes Equation
5. Hodge Conjecture
6. Birch and Swinnerton-Dyer Conjecture
7. Unsolved Problem List