The Collatz Conjecture is one of the Unsolved problems in mathematics, specially in Number Theory. The Collatz Conjecture is also termed as 3n+1 conjecture, Ulam Conjecture, Kakutani’s Problem, Thwaites Conjecture, Hasse’s Algorithm, Syracuse Problem.
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In 1904, the french Mathematician Henri Poincaré posed an epoch making question in one of his papers, which asked:
If a three-dimensional shape is simply connected, is it homeomorphic to the three dimensional sphere?