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Regional Mathematical Olympiad
2018 India Regional Mathematical Olympiad
3
Finally a NT in RMO
Finally a NT in RMO
Source: RMO 2018 P3
October 28, 2018
number theory
Problem Statement
Show that there are infinitely many tuples
(
a
,
b
,
c
,
d
)
(a,b,c,d)
(
a
,
b
,
c
,
d
)
of natural numbers such that
a
3
+
b
4
+
c
5
=
d
7
a^3 + b^4 + c^5 = d^7
a
3
+
b
4
+
c
5
=
d
7
.
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