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PEN G Problems
13
13
Part of
PEN G Problems
Problems
(1)
G 13
Source:
5/25/2007
It is possible to show that \csc\frac{3\pi}{29}\minus{}\csc\frac{10\pi}{29}\equal{} 1.999989433.... Prove that there are no integers
j
j
j
,
k
k
k
,
n
n
n
with odd
n
n
n
satisfying \csc\frac{j\pi}{n}\minus{}\csc\frac{k\pi}{n}\equal{} 2.
Irrational numbers