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1951 Moscow Mathematical Olympiad
199
MMO 199 Moscow MO 1951 1^3 + 2^3 +...+ n^3 a perfect square
MMO 199 Moscow MO 1951 1^3 + 2^3 +...+ n^3 a perfect square
Source:
August 7, 2019
number theory
Perfect Square
Problem Statement
Prove that the sum
1
3
+
2
3
+
.
.
.
+
n
3
1^3 + 2^3 +...+ n^3
1
3
+
2
3
+
...
+
n
3
is a perfect square for all
n
n
n
.
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