The course

hole		your best
1	drinkereasy There is someone in the pub who, if they drink, everyone drinks.	—#— of 4
2	spiralmedium $F_{1}^{2} + F_{2}^{2} + \dots + F_{n}^{2} = F_{n} F_{n + 1}$ .	—#— of 4
3	no_half_succmedium No function on $N$ applied twice adds exactly one.	—#— of 3
4	markovmedium $x^{2} + y^{2} + z^{2} = 3 x y z$ has infinitely many solutions.	—#— of 2
5	waerdenmedium Any 2-coloring of ${1, \dots, 9}$ contains a monochromatic 3-term progression.	—#— of 2
6	basel_boundhard $\sum 1/ k^{2} < 2$ .	—#— of 2
7	binary_multiplehard Every positive integer divides a number written with only 0s and 1s.	—#— of 2
8	pisanohard The Fibonacci sequence is periodic modulo every $m$ .	—#— of 2
9	levihard $3^{m} = 2^{n} + 1$ only at $(1, 1)$ and $(2, 3)$ .	—#— of 2
10	jacobianhard The Jacobian conjecture is false.	—#— of 2
11	falsoimpossible Break consistency.	—open