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2013 and Perfect Square Settlement (Posted on 2023-06-25)

We know that 2025 = 45². Therefore, 2025 is a perfect square in base ten.

Determine all positive integer value of N greater than 3, for which 2013 _{base N} is a perfect square.

Provide valid reasoning for your answer.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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