Might there be a good historical reference on Egyptian number theory ($ \sim 2000$ B.C.)? The following online reference by a professor at the UCLA indicates that they were aware of the Pythagorean theorem [1]. This makes me wonder whether Egyptian scientists and engineers might have done fundamental work in number theory as well.


In particular, I'd like to know whether they were aware of Euclid's theorem of the infinitude of primes.


References:
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1. Allen Klinger. Right Triangles - Pythagorean Theorem
. [http://web.cs.ucla.edu/~klinger/dorene/math1.htm](http://web.cs.ucla.edu/%7Eklinger/dorene/math1.htm)
2. Thomas Eric Peet. Mathematics in Ancient Egypt. 1931.



Egyptian number theory
According to the chapter on Egyptian mathematics and astronomy in the book by O. Neugebauer, *The Exact Sciences in Antiquity* (1951, 1957), Egyptian mathematics only involved basic arithmetic with positive integers and a restricted class of fractions. So the answer to your question appears to be "no".


