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Scott's conjecture on the density of odd square-free numbers
Let a natural number be square-free if it is divisible by no prime square. The natural density of a set of natural numbers is its limiting proportion among the first $N$ natural nu…
Conjecturesolvednatural-density number-theory square-free-numbersarXiv posted 2 days ago
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Fouvry's density conjecture for large prime factors of p−1
Let $P^+(n)$ denote the largest prime factor of $n$ , and let $\mathcal{P}$ be the set of primes occurring in the preceding discussion. Fouvry's density conjecture. The natural dens…
Conjectureopenanalytic-number-theory natural-density prime-factorsarXiv posted 2 days ago

Scott's conjecture on the density of odd square-free numbers