Egypt
I don't know what happened to the ethnic ancient Egyptians, but what I do know, is this:
The Ptolemaic Empire and its culture were, as so many others, integrated into the Roman empire and culture. It remained a prosperous and peaceful province for by far most of the duration of the Roman empire.
However, in the 7th century the province of Aegyptus was lost by the Byzantines to the onslaught of the Muslims. My belief is that the nearness of Egypt to Arabia caused many Arabs to migrate there, and as you are sure to know, many of Egypt's inhabitants have a lot of Arab blood in them. The Berbers are a large minority in modern-day Egypt.
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