Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Does a number realthere exist$x$ with$x\in\mathbb{R}$ such that$\forall n \in\mathbb N, E(10^nx)$$\lfloor 10^nx\rfloor$ is a prime number, exist for all$n\in\mathbb{N}$?
PS : $E$ is the function integer part, hence $E(1.23)=1$
Does a number real$x$ with$\forall n \in\mathbb N, E(10^nx)$ is a prime number, exist ?
PS : $E$ is the function integer part, hence $E(1.23)=1$
Does there exist$x\in\mathbb{R}$ such that$\lfloor 10^nx\rfloor$ is a prime number for all$n\in\mathbb{N}$?
