MHB Why certain topics in elementary number theory?

matqkks
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Why do all elementary number theory courses have the following topics - gcd, linear Diophantine equations, Fundamental Theorem of Arithmetic, factorization, modular arithmetic, Fermat's Little Theorem, Euler's Theorem, primitive roots, quadratic residues and nonlinear Diophantine equations?
 
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?? Because those are the most basic problems in number theory!
 
He probably confused elementary number theory with elementary number problem, in other words, elementary math.
 

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