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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
4
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answers
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Distribution of fibers of Euler-Phi
Motivation: It's an elementary exercise to show that the number of solutions to the equation $\phi(x)=n$ is finite for any $n$, where $\phi$ is the Euler-phi function. Of course, counting the number …
5
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0
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How many ways can a number be Fortunate?
An integer $m$ is Fortunate if it can be written as $q-P$, where $P$ is a primorial and $q$ is the smallest prime greater than $P+1$. It is conjectured that Fortunate numbers are always prime.
It …