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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
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Arithmetic Progression [duplicate]
Show that for all $a,d,n\in\mathbb{N}$ :
$$\sum_{i=0}^{n}\frac{1}{a+id}\notin\mathbb{N}$$
It means that a finite sum of reciprocal of arithmetic progression of natural numbers with at lest two eleme …