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Enigma Number 1547

By Richard England

27 May 2009

Square dates

Writing 30 May 2009 in the order day’s number.month.year, with just one digit for the month but the year in full, gives 30.5.2009. This is a perfect square date because 3052009 = 17472. If two digits are allocated for the month, then 3 May 2009 (3.05.2009) was a perfect square date.

If you maintain the order day’s number.month.year and write the year as a four-digit number, as in these examples, what is the next date that will be a perfect square (a) if you allocate one digit for the month, and (b) if you allocate two…

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