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Number Theory Why certain topics in elementary number theory?

matqkks

Member
Jun 26, 2012
74
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?
 

HallsofIvy

Well-known member
MHB Math Helper
Jan 29, 2012
1,151
?? Because those are the most basic problems in number theory!
 

Monoxdifly

Well-known member
Aug 6, 2015
312
He probably confused elementary number theory with elementary number problem, in other words, elementary math.