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Miklós Schweitzer
1958 Miklós Schweitzer
2
2
Part of
1958 Miklós Schweitzer
Problems
(1)
Miklós Schweitzer 1958- Problem 2
Source:
10/21/2015
2. Let
A
(
x
)
A(x)
A
(
x
)
denote the number of positive integers
n
n
n
not greater than
x
x
x
and having at least one prime divisor greater than
n
3
\sqrt[3]{n}
3
n
. Prove that
lim
x
→
∞
A
(
x
)
x
\lim_{x\to \infty} \frac {A(x)}{x}
lim
x
→
∞
x
A
(
x
)
exists. (N. 15)
college contests