The Number Game

Would you believe that 21 is the smallest number of distinct squares into which a square can be dissected?
 
Did you know that if there are 24 people in a room then the odds are greater then evens that two of them share a birthday? It's true - honest!
 
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And 25 is the smallest integer which is both a square and the sum of two square integers (as in Pythagoras).
 
Whereas 27 is the first odd perfect cube (apart from 1 which is trivial).
 
On August 29, 1988, Sarah Palin eloped with her high school sweetheart, Todd Palin.
 
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