Carbó-Dorca, R. (2022) Mersenne Numbers, Recursive Generation of Natural Numbers, and Counting the Number of Prime Numbers. Applied Mathematics, 13, 538-543.
https://doi.org/10.4236/am.2022.136034

has been cited by the following article:

• TITLE: Collatz Conjecture Redefinition on Prime Numbers

  AUTHORS: Ramon Carbó-Dorca

  KEYWORDS: Natural Numbers, Prime Numbers, Pseudospaces, Collatz Conjecture, Collatz Algorithm, Collatz Operator, Collatz Compliance, Syracuse Algorithm

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.1, January 20, 2023

  ABSTRACT: The definition of Collatz Operator, the mathematical avatar of the Collatz Algorithm, permits the transformation of the Collatz conjecture, which is delineated over the whole natural number set, into an equivalent inference restricted to the odd prime number set only. Based on this redefinition, one can describe an empirical-heuristic proof of the Collatz conjecture.