2² + 3² + 4² = 29

1:13 pm PHT

Aside from being the tenth prime number, 29 is also the second sum (when only considering whole numbers) of three consecutive squares, namely the squares of two, three, and four. (The first such sum is 14, which is 1² + 2² + 3².) In addition, all the numbers in the sequence from 1 to 29 have at most 2 unique prime factors and that this is the longest such sequence.

What’s the point of such mathematical trivia on the number 29? Well, you should try following the links below labeled with number theory facts to find out why.

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