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Miklós Schweitzer 1958- Problem 2

Source:

October 21, 2015
college contests

Problem Statement

2. Let A(x)A(x) denote the number of positive integers nn not greater than xx and having at least one prime divisor greater than n3\sqrt[3]{n}. Prove that lim⁡x→∞A(x)x\lim_{x\to \infty} \frac {A(x)}{x} exists. (N. 15)
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