It was Kmt state north of the 1st Cataract; and Kerma state from 1st up to the 6th Cataract since 3500 BC until 1000 BC.
There was no Kush before 785 BC. Kush was a colony made by Hyksos bandits (Turkic Akkadians + Bedouin Amorites) with Berber and slaves collected from West Africa.
The Hyksos-Berber-Fulani bandits started invasions in 1500 BC coming from Libya via West Africa. Kmt protected Kerma down the 4th Cataract.
Following the collapse of Kmt Modern Kingdom in 1077 BC the bandits toppled Kerma civilization in 1000 BC.
The bandits brought down Kerma and it went into 200 years of violence, slavery and chaos.
The Hyksos-Berber-Fulani bandits and local slaves were first ruled by a single warlord called Alara of unknown origin in 785 BC and declared himself as king and the colony as Kush.
Kush was an enemy to Kerma and Kmt. It was made by West African slaves (Fulani), Berber and Hyksos.
The earliest Jews were not Israelite. Jews were made up from Hebrews who were expelled Hyksos. Therefore, Jews are re-packaging of Turkic Mongolian Akkadians together with Bedouin Amorites.