Prime territory: Goldbach conjecture
The puzzle of pi: squaring the circle
Mapmaking mysteries: four colour theorem
Sphereful symmetry: Kepler conjecture
New solutions for old: Mordell conjecture
Inadequate margins: Fermat's last theorem
Orbital chaos: three-body problem
Patterns in primes: Riemann hypothesis
What shape is a sphere? : Poincaré conjecture
They can't all be easy: P/NP problem
Fluid thinking: Navier-Stokes equation
Quantum conundrum: mass gap hypothesis
Diophantine dreams: Birch-Swinnerton-Dyer conjecture
Complex cycles: Hodge conjecture
