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International Contests
IMO Longlists
1979 IMO Longlists
77
77
Part of
1979 IMO Longlists
Problems
(1)
h(n) is the greatest prime divisor of n
Source: ILL 1979 - Problem 77.
6/5/2011
By
h
(
n
)
h(n)
h
(
n
)
, where
n
n
n
is an integer greater than
1
1
1
, let us denote the greatest prime divisor of the number
n
n
n
. Are there infinitely many numbers
n
n
n
for which
h
(
n
)
<
h
(
n
+
1
)
<
h
(
n
+
2
)
h(n) < h(n+1)< h(n+2)
h
(
n
)
<
h
(
n
+
1
)
<
h
(
n
+
2
)
holds?
number theory unsolved
number theory