For what bases P do this alphametic equation possess at least one solution?

                (HE)_{base P}*(HE)_{base P} = (SHE)_{base P}

Prove that there are no others.

Extra Challenge: A solution without computer program aided method.

<o:p> </o:p>

13  base 6:<o:p></o:p>

base 10 :  25<o:p></o:p>

Posted by Ady TZIDON on 2014-02-07 11:54:33