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Odd digited square (Posted on 2019-06-02) Difficulty: 3 of 5
Find all natural numbers n such that n2 has only odd digits.

No Solution Yet Submitted by Danish Ahmed Khan    
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Some Thoughts Puzzle Thoughts Comment 8 of 8 |
It can be shown that there does NOT exist any positive integer n such that we cannot have n^2 having more than 1 digit.
Thus n^2 must have precisely 1 digit.
We know that 
n=1 gives n^2=1
n=3 gives n^2=9
Consequently,  the required values of n are 1 and 3.


  Posted by K Sengupta on 2022-06-09 00:33:00
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