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VTRMC
2022 VTRMC
3
3
Part of
2022 VTRMC
Problems
(1)
Diophantine of a Single Base
Source: VTRMC 2022 P3
1/4/2023
Find all positive integers
a
,
b
,
c
,
d
,
a, b, c, d,
a
,
b
,
c
,
d
,
and
n
n
n
satisfying
n
a
+
n
b
+
n
c
=
n
d
n^a + n^b + n^c = n^d
n
a
+
n
b
+
n
c
=
n
d
and prove that these are the only such solutions.
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Diophantine equation