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National and Regional Contests
PEN Problems
PEN O Problems
2
2
Part of
PEN O Problems
Problems
(1)
O 2
Source:
5/25/2007
Let
p
p
p
be a prime. Find all positive integers
k
k
k
such that the set
{
1
,
2
,
⋯
,
k
}
\{1,2, \cdots, k\}
{
1
,
2
,
⋯
,
k
}
can be partitioned into
p
p
p
subsets with equal sum of elements.
pen
number theory