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1983 Brazil National Olympiad
3
1 + 1/2 + 1/3 + ... + 1/n not an integer for n > 1
1 + 1/2 + 1/3 + ... + 1/n not an integer for n > 1
Source: Brazilian Mathematical Olympiad 1983 P3
July 27, 2018
number theory
Integer
Sum
Problem Statement
Show that
1
+
1
/
2
+
1
/
3
+
.
.
.
+
1
/
n
1 + 1/2 + 1/3 + ... + 1/n
1
+
1/2
+
1/3
+
...
+
1/
n
is not an integer for
n
>
1
n > 1
n
>
1
.
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