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PEN G Problems
15
G 15
G 15
Source:
May 25, 2007
inequalities
logarithms
LaTeX
Irrational numbers
Problem Statement
Prove that for any
p
,
q
ā
N
p, q\in\mathbb{N}
p
,
q
ā
N
with
q
>
1
q > 1
q
>
1
the following inequality holds: \left\vert\pi\minus{}\frac{p}{q}\right\vert\ge q^{\minus{}42}.
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