Find all naturel numbers n such as : is the Perfect square .

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- Sep 13th 2009, 08:50 AMdhiabPerfect square
**Find all naturel numbers n such as : is the Perfect square .** - Sep 13th 2009, 09:34 AMSoroban
Hello, dhiab!

Is there a typo?

If the last constant is 81, there is a simple solution.

Quote:

Find all natural numbers such that: . . is a perfect square.

Let: .

Expand: .

And we have: .

Therefore: .

The expression is a square fornatural numbers*all*