Tehnički vjesnik, Vol. 26 No. 2, 2019.
Izvorni znanstveni članak
https://doi.org/10.17559/TV-20161108221649
Computer-Based Validation of 3n+1 Hypothesis for Numbers 3n−1
Srdjan Kadic
; Faculty of Natural Science and Mathematics, University of Montenegro, Cetinjski put 2, 81000 Podgorica, Montenegro
Savo Tomovic
; Faculty of Natural Science and Mathematics, University of Montenegro, Cetinjski put 2, 81000 Podgorica, Montenegro
Sažetak
The formulation of the 3n−1 problem is simple but no one has found the solution yet. This paper transforms the original problem into its equivalent so that it becomes more suitable for computer validation. A new algorithm is proposed and implemented. The hypothesis is tested and proven to be valid for numbers 3n−1, conclusive with number 332768−1.
Ključne riječi
Collatz's problem; transformation; total stopping time; trajectories; 3n−1
Hrčak ID:
219501
URI
Datum izdavanja:
24.4.2019.
Posjeta: 1.689 *