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National and Regional Contests
PEN Problems
PEN J Problems
9
9
Part of
PEN J Problems
Problems
(1)
J 9
Source:
5/25/2007
Show that the set of all numbers
ϕ
(
n
+
1
)
ϕ
(
n
)
\frac{\phi(n+1)}{\phi(n)}
ϕ
(
n
)
ϕ
(
n
+
1
)
is dense in the set of all positive reals.
Divisor Functions