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Soros Olympiad in Mathematics
II Soros Olympiad 1995 - 96 (Russia)
9.5
a^2 + b^3 + c^4 = d^5 (II Soros Olympiad 1995-96 R2 9.5)
a^2 + b^3 + c^4 = d^5 (II Soros Olympiad 1995-96 R2 9.5)
Source:
June 3, 2024
number theory
Perfect power
Problem Statement
Give an example of four pairwise distinct natural numbers
a
a
a
,
b
b
b
,
c
c
c
and
d
d
d
such that
a
2
+
b
3
+
c
4
=
d
5
.
a^2 + b^3 + c^4 = d^5.
a
2
+
b
3
+
c
4
=
d
5
.
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