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Brazil Contests
Brazil National Olympiad
1992 Brazil National Olympiad
7
7
Part of
1992 Brazil National Olympiad
Problems
(1)
n^a + n^b = n^c
Source: Problem 7, Brazil MO 1992
3/18/2006
Find all 4-tuples
(
a
,
b
,
c
,
n
)
(a,b,c,n)
(
a
,
b
,
c
,
n
)
of naturals such that
n
a
+
n
b
=
n
c
n^a + n^b = n^c
n
a
+
n
b
=
n
c
number theory proposed
number theory