Taha's 2nd Solution of Collatz Sequence

03 June 2024, Version 1
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

Abstract of Taha's 2nd Solution of Collatz Sequence let Collatz Sequence of (r)=S(r) let Collatz Sequence loop of (r)=lS(r) S(n)={(n/2)=k≤n-1,…,(h) or…},n∈N_even,k,h∈N_+⋯Fact 1 S(n)={(n/2)or (3n+1),…}⇒S(n)⊇S((n/2) or (3n+1) ),n∈N_+⋯Fact 2 ⇒ lS(n)= lS((n/2) or (3n+1) )…Fact 3 Example: S(5)={16,8,4,2,1}⇒ ∴S(5)⊇S(16)⊇S(8)⊇S(4)⊇S(2)⊇ S(1)…Fact 1⇒ lS(5)=lS(16)=lS(8)=lS(4)=lS(2)=lS(1)…Fact 2

Keywords

Collatz
2nd Way Collatz
Unsolved Math
Taha
Number Theory

Comments

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Comment number 5, Taha Muhammad: Aug 14, 2024, 02:43

Dear Author(s) Taha Muhammad, Title: 2nd Way of Collatz Sequence Proof Mitteilungen Klosterneuburg Journal has completed the review process of the above article. The good news is that the submitted paper qualifies for publication in Mitteilungen Klosterneuburg.

Comment number 4, Taha Muhammad: Jun 20, 2024, 14:57

https://youtu.be/GbIrF0Wy2PU

Comment number 3, Taha Muhammad: Jun 13, 2024, 22:14

Your program is a clear assault on the privacy of my four innovations, which are the result of seven years of my effort to solve Collatz, Euler, and Fermat! And the secrets of my work were discovered, perhaps by someone who intends to steal my ideas and the secrets of my solutions. Therefore, I ask you to delete all of my papers and not publish them to people because I thought that your program was honorable and qualified for evaluation and publication. Unfortunately, I revealed the secrets of my innovations to everyone.

Comment number 2, Taha Muhammad: Jun 05, 2024, 14:27

https://youtu.be/sQx0K3iKlKY

Comment number 1, Taha Muhammad: Jun 05, 2024, 02:53

1-https://youtu.be/oZ_3RGaC7qQ 2-https://youtu.be/tD5dwM8iafA