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Results tagged with elementary-proofs
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user 16537
For questions related to 'elementary' proofs in a technical sense, which has nothing to do with the difficulty of the argument or result. A typical example would be 'elementary' proofs of the Prime Number Theorem, which avoid complex analysis. The tag is however not limited to this particular notion of 'elementary.'
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An elementary proof that, for every fixed $n \in \mathbf N^+$, there are infinitely many pri...
This morning, I made a comment to a comment to a question of Ayman Moussa, only to point out that, among many others, there is an elementary proof of Dirichlet's theorem on the existence of infinitely …
- 10.5k
2
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What is the simplest proof that the density of primes goes to zero?
Terry Tao's proof can be slightly reworked to give a little more — that $\mu^\ast(P) = 0$ for every arithmetic upper quasi-density $\mu^\ast$ on $\mathbb N$, where $P$ is the set of primes. And a refi …
- 10.5k