Number Theory

    

The Solution of the Collatz Conjecture in the Tartaglia Triangle

Authors: Giovanni Di Savino

With the Collatz algorithm it is not possible to process all natural numbers because we do not know: quantities and values ​​of even and odd numbers and all their factors. From Tartaglia's triangle we can detect odd numbers which are the sum of the results of the infinite powers of 2 which have an even index and which are also equal to the previous odd * 4 + 1. These are all the odd numbers that * 3 + 1 generate an even number that is the result of a base power 2 and even index 2 ^ (2 * n≥1) and that, the nth half, ends at 1 because ½ of 2 ^ 1 = 2 ^ 0 = 1.

Comments: 2 Pages. [Corrections made by viXra Admin to conform with the requirements on the Submission Form]

Download: PDF

Submission history

[v1] 2021-12-01 20:42:53

Unique-IP document downloads: 315 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus