MathDB

4

Part of 2007 Dutch Mathematical Olympiad

Problems(1)

no of integers a with 1 \le a \le 100 such that a^a is a perfect square

Source: Dutch MO 2007 p4

9/1/2019
Determine the number of integers aa satisfying 1≤a≤1001 \le a \le 100 such that aaa^a is a perfect square. (And prove that your answer is correct.)
Perfect Squarenumber theoryexponential