2 problems

For an integer $j\geq 1$, let $\alpha_j$ be the $j$-th metallic mean, so that $\alpha_j^2=j\alpha_j+1$. Let $r_1$ be the unique positive real number such that all terms defined by…

Highly composite minima conjecture. All the integers $n_k$ produced by Theorem 1 are highly composite numbers.