What is known about the Collatz conjecture?
The \textit{Collatz’s conjecture} is an unsolved problem in mathematics. It is named after Lothar Collatz in 1973. The conjecture also known as Syrucuse conjecture or problem. Take any positive integer n ….Complete Proof of the Collatz Conjecture.
| Comments: | 8 pages |
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| Cite as: | arXiv:2101.06107 [math.GM] |
| (or arXiv:2101.06107v4 [math.GM] for this version) |
What is the Collatz conjecture (cc)?
Collatz Conjecture (3x+1 problem) states any natural number x will return to 1 after 3 x+1 computation (when x is odd) and x/2 computation (when x is even). In this paper, we propose a new approach for possibly proving Collatz Conjecture (CC).
What is Collatz’s law of one?
Collatz asserted that if one starts with any natural number , and repeats the rule again and again, with each new appearing natural number, then the process will lead to the number one every time. For example, let’s start with the natural number 10. If I divide by two, I get 5. Taking 5 and multiplying by three and adding one, I get 16.
How to solve the Collatz conundrum?
One such conundrum was raised by the German mathematician Lothar Collatz in 1937. Suppose I create a rule that if I have any even natural number, then I divide it by two, and if I have any odd natural number, then I multiply it by three and add one. More formally, if is an even natural number, and if is an odd natural number.
What did Paul Erdős say about the Collatz conjecture?
Paul Erdős said about the Collatz conjecture: “Mathematics may not be ready for such problems.” He also offered US$500 for its solution. Jeffrey Lagarias stated in 2010 that the Collatz conjecture “is an extraordinarily difficult problem, completely out of reach of present day mathematics.”