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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

Puni tekst: engleski, pdf (397 KB) str. 289-293 preuzimanja: 419* citiraj
APA 6th Edition
Kadic, S. i Tomovic, S. (2019). Computer-Based Validation of 3n+1 Hypothesis for Numbers 3n−1. Tehnički vjesnik, 26 (2), 289-293. https://doi.org/10.17559/TV-20161108221649
MLA 8th Edition
Kadic, Srdjan i Savo Tomovic. "Computer-Based Validation of 3n+1 Hypothesis for Numbers 3n−1." Tehnički vjesnik, vol. 26, br. 2, 2019, str. 289-293. https://doi.org/10.17559/TV-20161108221649. Citirano 13.05.2021.
Chicago 17th Edition
Kadic, Srdjan i Savo Tomovic. "Computer-Based Validation of 3n+1 Hypothesis for Numbers 3n−1." Tehnički vjesnik 26, br. 2 (2019): 289-293. https://doi.org/10.17559/TV-20161108221649
Harvard
Kadic, S., i Tomovic, S. (2019). 'Computer-Based Validation of 3n+1 Hypothesis for Numbers 3n−1', Tehnički vjesnik, 26(2), str. 289-293. https://doi.org/10.17559/TV-20161108221649
Vancouver
Kadic S, Tomovic S. Computer-Based Validation of 3n+1 Hypothesis for Numbers 3n−1. Tehnički vjesnik [Internet]. 2019 [pristupljeno 13.05.2021.];26(2):289-293. https://doi.org/10.17559/TV-20161108221649
IEEE
S. Kadic i S. Tomovic, "Computer-Based Validation of 3n+1 Hypothesis for Numbers 3n−1", Tehnički vjesnik, vol.26, br. 2, str. 289-293, 2019. [Online]. https://doi.org/10.17559/TV-20161108221649

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
https://hrcak.srce.hr/219501

Posjeta: 690 *