International Journal of Media and Networks(IJMN)
ISSN: 2995-3286 | DOI: 10.33140/IJMN
Impact Factor: 0.89*
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A Proof of Collatz Conjecture Using Pyramid Fractions
Abstract
Mehdi Khoshakhlagh Varnosfaderani
In this paper, I introduce a new concept of representing numbers in base; in other words, I have found new series for any number similar to the series that could be written according to the collatz sequence which is called zi(n) in this article. These series need to end with 1. Then, we use two sets of rules to make a diagram which then proves the existence of such series for any number.