Why Can’t Collatz Prediction Be Solved? – Webtekno

German Mathematician in 1937 Lothar Collatz This problem posed by simple It draws attention because it is based on an algorithm. This problem explains that all natural numbers greater than 1 can be reduced to 1.

Why such a simple puzzle? can’t be solved Let’s examine it together.

First, let’s talk about the algorithm of the puzzle.

In this algorithm there is no natural number being taken; If it is even, it is divided by two; if it is odd, it is multiplied by three and added one. The process is repeated with the new number obtained.

The puzzle must be completed at the end of the process. to the number 1 suggests that it can be achieved.

Despite these simple rules, the Collatz Prediction remained unsolved for decades.

Seniors like Jeffrey Lagarias and Terence Tao mathematicians He made important studies on this problem. This prediction is considered by many to be a mathematical swamp is seen as.

Tao the Mathematician, partial differential large sets of numbers by applying techniques from his work on equations Collatz conducted research to analyze their behavior under the process. However, as a result of these extensive researches, the problem could not be solved.

Besides all this, the Collatz Conjecture cannot be proven.

This mathematical puzzle, despite its simple appearance not proven It attracts attention among mathematicians for its As a result of the analysis, the puzzle is not only related to number theory but also chaos theory It turns out that it also has connections with fields such as the foundations of computing.

So why can’t this prediction be resolved?

Mathematicians often use existing mathematical understanding and tools to solve this conjecture. insufficient you can stay they state. Therefore, they think that devoting too many resources to these processes can potentially lead to excessive time loss.

However, if this prediction is solved, it will have important implications in fields such as number theory, chaos theory and computation theories. advances it could be. The Collatz Estimate will thus serve as both a simple educational tool and a gateway to exploring deep mathematical questions.

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