Determine all possible positive base ten repdigit(s) N, such that the sum of the digits of N² is equal to 37.

(In reply to re(2): computer solution (a quibble) by Charlie)

I'm convinced!  It is extremely unlikely that a repunit of more than 37 digits has a square whose digits sum to 37.  Thanks, Charlie  

Posted by Steve Herman on 2009-06-04 22:40:23