There are 2 versions of this paper. The newer is better... --- The Collatz Conjecture defines a number sequence constructed as follows: If X_1 is odd, then X_2 = 3X_1 + 1. If X_1 is even, then X_2 = X
This research concerns a structural proof of the Collatz conjecture. A formal proof is provided using operation sequences and the decomposition of natural numbers into 1s and 2s.
We design a computer program that can output reduced dynamics for odd integers with 4k+3, e.g, [3-99999999]. Outputting (reduced) dynamics for much larger integers are also possible. The source code i
Parte da comunidade cientifica tem dispendido considerável tempo e recursos para de alguma forma validar a conjectura de Collatz, inúmeros esforços tem logrado considerável avanço nesta direção, porém