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Poland Contests
Poland - First Round
2004 Poland - First Round
2
Find all natural n>1
Find all natural n>1
Source: Poland 2004
October 14, 2004
number theory
Euclidean algorithm
Problem Statement
2. Find all natural
n
>
1
n>1
n
>
1
for which value of the sum
2
2
+
3
2
+
.
.
.
+
n
2
2^2+3^2+...+n^2
2
2
+
3
2
+
...
+
n
2
equals
p
k
p^k
p
k
where p is prime and k is natural
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