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Square Digits (Posted on 2024-03-12)

Are there squares S = n² such that when you add S and its digits the result is also a square?

For example, if S were 25 then 25+2+5 would also have to be a square.

If so, give an example.
If not, prove it.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Trivial solution not excluded from problem?

| Comment 3 of 7 |

n=0 works.

Posted by Kenny M on 2024-03-12 16:57:55

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