Snevily's conjecture was [proved in 2009][1] by Bodan Arsovski. He was a [high-school student][2] at the time.

I don't know of any consequences in analytic number theory. On the other hand, there are several papers before and after Arsovski's proof that connect Snevily's conjecture to other (combinatorial) group theoretic questions or discuss variations.


  [1]: https://link.springer.com/article/10.1007/s11856-011-0040-6
  [2]: https://www.imo-official.org/participant_r.aspx?id=9164