A problem I made but don't know how to solve

Revision en1, by Qualified, 2023-01-02 18:11:16

Find the number of positive integers that are $$$\le n$$$ and is coprime to $$$\text{lcm}(1, 2, 3, \dots, x)$$$ where $$$n$$$ and $$$x$$$ are positive integers. Maybe have $$$n\le 10^{15}$$$ and $$$x\le 10^{12}$$$.

Tags number theory, lcm

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en1 English Qualified 2023-01-02 18:11:16 234 Initial revision (published)