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PEN H Problems
1
1
Part of
PEN H Problems
Problems
(1)
H 1
Source:
5/25/2007
One of Euler's conjectures was disproved in the
1980
1980
1980
s by three American Mathematicians when they showed that there is a positive integer
n
n
n
such that
n
5
=
13
3
5
+
11
0
5
+
8
4
5
+
2
7
5
.
n^{5}= 133^{5}+110^{5}+84^{5}+27^{5}.
n
5
=
13
3
5
+
11
0
5
+
8
4
5
+
2
7
5
.
Find the value of
n
n
n
.
Diophantine Equations