  The Muon g-2 experiment at Fermilab has published the first result on Run-1
dataset in 2021 showing a good agreement with the previous experimental result
at Brookhaven National Laboratory at comparable precision (0.46 ppm). In August
2023 we released our new result from Run-2 and Run-3 datasets which allowed to
measure $a_\mu$ to 0.21 ppm, a more than two-fold improved precision respect to
Run-1, and which allowed to reach a precision of 0.20 ppm when combined with
the Run-1 result. We will discuss the improvements of the Run-2/3 analysis
respect to Run-1, the current status of the theory prediction, and the future
prospects.
