Find the n

Find the least positive integer \(n\) satisfying the following conditions:

  • \(n^2=\overline{a_1a_2\cdots a_m}\)
  • \(k^2=\overline{a_1a_2\cdots a_{m-1}0a_m}\)
  • \(n \geq 4\)
  • \(k\) is a positive integer

For example if \(4^2=16\) is a perfect square then \(106\) should also be a perfect square

×

Problem Loading...

Note Loading...

Set Loading...