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PEN E Problems
34
E 34
E 34
Source:
May 25, 2007
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Problem Statement
Let
p
n
p_{n}
p
n
denote the
n
n
n
th prime number. For all
n
≥
6
n \ge 6
n
≥
6
, prove that
π
(
p
1
p
2
⋯
p
n
)
>
2
n
.
\pi \left( \sqrt{p_{1}p_{2}\cdots p_{n}}\right) > 2n.
π
(
p
1
p
2
⋯
p
n
)
>
2
n
.
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