Need Hall Effect probes

I am looking for high current AC/DC hall effect probes that are compatible with oscilloscopes. Our required current is 2000 to 5000 A. However, I could not find any AC/DC probes which is fit to our requirement. I will appreciate it if you could prove me with more information about those.

For Hall Effect probes, the highest we have is 500A RMS (750A Peak) with the TCP404XL: https://www.tek.com/en/datasheet/ac-dc-current-measurement-systems

The only other option is the TRCP3000, which is AC only. It is a Rogowski architecture, not hall effect, so it cannot go down to DC. You can find the datasheet here: https://www.tek.com/en/datasheet/current-probes-0

Thank you.