This work aims to show that the so-called Collatz conjecture (also known as the 3n + 1 conjecture) can be proven using simple forms of number analysis and the logical conclusions that follow from them.
The endless cycle 1-4-2-1 is discussed, as are the modification length and the supposedly random number sequences of the Collatz number series.
However, the key to proving the Collatz conjecture, that all number sequences end at 1, lies in the analysis of the number space presented by the author.
5 arguments for solving the 3n+1 problem
Analysis of the number space of the Collatz conjecture
This work aims to show that the so-called Collatz conjecture can be proven using simple forms of number analysis and the logical conclusions that follow from them.
Gerald Lichtenegger
Jahrgang 1951, berufliche Laufbahn als Administrator in einer Einrichtung der Erwachsenenbildung. Seit 2019 im Ruhestand, Beschäftigung mit mathematischen Problemstellungen.
Collatz conjecture Syracuse conjecture 3n + 1 - conjecture Analysis of the number space of the Collatz conjecture 5 arguments for solving the 3n+1 problem