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Problems
Contests
National and Regional Contests
Netherlands Contests
Dutch Mathematical Olympiad
1985 Dutch Mathematical Olympiad
2
squares
squares
Source: Netherlands 1985
June 27, 2009
modular arithmetic
floor function
number theory proposed
number theory
Problem Statement
Among the numbers 11n \plus{} 10^{10}, where
1
≤
n
≤
1
0
10
1 \le n \le 10^{10}
1
≤
n
≤
1
0
10
is an integer, how many are squares?
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