Two different scenarios when the Collatz conjecture fails
Author
Source
General Letters in Mathematics
Issue
Vol. 11, Issue 2 (31 Dec. 2021), pp.46-54, 9 p.
Publisher
Refaad Center for Studies and Research
Publication Date
2021-12-31
Country of Publication
Jordan
No. of Pages
9
Main Subjects
Abstract EN
In this article, we construct networks of Collatz sequences such that the initial odd terms of these sequences increase monotonically.
We also show how the subsequence of odd numbers in a Collatz sequence can be extended backwards, forever.
Convergent sequences cannot contain divergent subsequences.
Thus, we conclude that the Collatz Conjecture is false.
American Psychological Association (APA)
Ahmad, Maya Muhsin. 2021. Two different scenarios when the Collatz conjecture fails. General Letters in Mathematics،Vol. 11, no. 2, pp.46-54.
https://search.emarefa.net/detail/BIM-1428672
Modern Language Association (MLA)
Ahmad, Maya Muhsin. Two different scenarios when the Collatz conjecture fails. General Letters in Mathematics Vol. 11, no. 2 (2021), pp.46-54.
https://search.emarefa.net/detail/BIM-1428672
American Medical Association (AMA)
Ahmad, Maya Muhsin. Two different scenarios when the Collatz conjecture fails. General Letters in Mathematics. 2021. Vol. 11, no. 2, pp.46-54.
https://search.emarefa.net/detail/BIM-1428672
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 54
Record ID
BIM-1428672