Some results

A decisive advance on the Syracuse conjecture -----------------------------------------------

Of all mathematical conjectures, the Syracuse conjecture is one of the easiest to understand (see Iterative processes and recurrence, Bibliothèque Tangente 76, 2021). What does it say? Take any integer and apply the following process:

• if it is odd, multiply it by 3 and add 1;

• if it is even, divide it by 2.

Then repeat the process with the result. Let's see what happens in two examples.