4. Jarasandha Numbers
In our Indian epic Mahabharatha, we come across a Person named ‘JARASANDHA’. He had a boon that if he was split into two
parts and thrown apart, the parts would rejoin and return to life. In fact, he was given life by the two halves of his body. In the
field of Mathematics, we have numbers exhibiting the same property as Jarasandha.
237
Consider a number of the form XC . This may split as two numbers X and C and if these numbers are added and squared we get
the same number XC .
(i.e) XC X C XC 2 ( )
Note: If C is an n-digit number, then X C X C