503

Part of 1989 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 503 All Soviet Union MO 1989 smallest n, exists m, [10^n/m]=1989

Source:

Find the smallest positive integer

n

for which we can find an integer

m

\left[\frac{10^n}{m}\right] = 1989

floor functionnumber theoryminimum