1729 is a Magic Number

Why 1729 is a magic number? Answer Logically.




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Its something that each of us devours,
Not just us but birds, beats, trees, and flowers,
Frets iron and nibbles steel,
Toil hard stones to meal,
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And blows the mountains down.

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What is the next number in this series?

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There is a cryptic organization called Cicada 3301 that posts challenging puzzles online, possibly to recruit codebreakers and linguists.