BB(2,4)
BB(2,4) was unofficially found to be 3,932,964 on April 10, 2023 by the bbchallenge project, when deciders made for solving BB(5) eliminated the last BB(2,4) holdouts. The champion was found by Terry and Shawn Ligocki in February 2005. a machine M with s(M) = 3,932,964 and sigma(M) = 2,050.
Work formalizing this result is ongoing.