u/Smooth_Mud6273

269226064503

Proof of Collatz conjecture

Abstract

We give an elementary proof of the Collatz function T (x) = 3x + 1 [x odd], x/2 [x even],

always to take the value x = 1 after a finite number of iterations. The problem is led to

initial values 27 + 96k, and 91 + 96k, with parameters k = k(l).

Keywords: Collatz Problem, Recurrences, Sequences of Integers

2010 Mathematics Subject Classifications: 11B37; 11B83; 11-XX