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Putnam
1964 Putnam
B5
B5
Part of
1964 Putnam
Problems
(1)
Putnam 1964 B5
Source: Putnam 1964
3/5/2022
Let
u
n
u_n
u
n
denote the least common multiple of the first
n
n
n
terms of a strictly increasing sequence of positive integers. Prove that the series
∑
n
=
1
∞
1
u
n
\sum_{n=1}^{\infty} \frac{1}{ u_n }
n
=
1
∑
∞
u
n
1
is convergent
Putnam
least common multiple
Convergence