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Miklós Schweitzer
1956 Miklós Schweitzer
4
Miklós Schweitzer 1956- Problem 4
Miklós Schweitzer 1956- Problem 4
Source:
October 9, 2015
college contests
Problem Statement
4. Denoting by
a
(
n
)
a(n)
a
(
n
)
the greatest prime factor of the positive integer
n
n
n
, show that
S
=
∑
n
=
1
∞
1
n
a
(
n
)
S= \sum_{n=1}^{\infty } \frac{1}{na(n)}
S
=
∑
n
=
1
∞
na
(
n
)
1
is convergente. (N. 13)
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