I have a floor $${\left\lfloor\frac{n}{i}\right\rfloor},$$
where i varies from 1 to n (n can be upto $10^{10}$), and there's another number given 'm' (m upto $10^{5}$). Does (${\left\lfloor\frac{n}{i}\right\rfloor\mod m}$), repeat after some i?
2026-03-27 22:03:51.1774649031
Is there a cycle for modulo operation on a floor?
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