RE: https://mstdn.social/@QuantaMagazine/117359884077976693

Graham’s conjecture (1971): Modulo some prime p, can you find a way to order any subset of {1,...,p-1} so that its successive partial sums are all distinct?

Since an initial breakthrough in 2022, three groups of young mathematicians have proved* this for different regimes: large subsets (as a fraction of p), small subsets, and finally those of intermediate size, covering all cases.

*Like many results in combinatorics, the proofs only hold for sufficiently large p.