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1

Part of 1971 Polish MO Finals

Problems(1)

sum 1/a_n 1 < 29

Source: Polish MO Finals 1971 p1

8/22/2024
Show that if (an)(a_n) is an infinite sequence of distinct positive integers, neither of which contains digit 00 in the decimal expansion, then ∑n=1∞1an<29.\sum_{n=1}^{\infty} \frac{1}{a_n}< 29.
algebranumber theoryinequalities