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.