This month's problem has two parts and is based on a statement made by Augustus De Morgan.   You must answer both parts correctly in order to get credit.

PART 1:
When asked about his age, the British mathematician Augustus De Morgan said,
"I was x years old in the year x2 ."

If De Morgan died on March 18, 1871, at the age of 64, for which years could he have made that statement?

PART 2:
When would a person living today have to have been born to make the following statement?
"I will be x years old in the year x2 ."


            Send your solution by the end of the month to: David Pleacher