## Square Age

#### Problem

If you were 35 years old in the year 1225 it would be a very special time mathematically, because 35^{2} = 1225. That is, the square of your age at that moment is equal to the year. This does not happen very often.

Augustus de Morgan, a famous mathematician, was one of those lucky people and in 1864 he wrote:

"At some point in my life the square of my age was the same as the year."

When was he born?

Problem ID: 31 (Jan 2001) Difficulty: 1 Star