Computer-Based Validation of 3n+1 Hypothesis for Numbers 3n−1
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 f...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Faculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in Osijek
2019-01-01
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| Series: | Tehnički Vjesnik |
| Subjects: | |
| Online Access: | https://hrcak.srce.hr/file/320395 |
| _version_ | 1797207514635304960 |
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| author | Srdjan Kadic Savo Tomovic |
| author_facet | Srdjan Kadic Savo Tomovic |
| author_sort | Srdjan Kadic |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-24T09:24:07Z |
| format | Article |
| id | doaj.art-f0c1b56bbf6a4317879f0b618b9b3d26 |
| institution | Directory Open Access Journal |
| issn | 1330-3651 1848-6339 |
| language | English |
| last_indexed | 2024-04-24T09:24:07Z |
| publishDate | 2019-01-01 |
| publisher | Faculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in Osijek |
| record_format | Article |
| series | Tehnički Vjesnik |
| spelling | doaj.art-f0c1b56bbf6a4317879f0b618b9b3d262024-04-15T15:29:49ZengFaculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in OsijekTehnički Vjesnik1330-36511848-63392019-01-0126228929310.17559/TV-20161108221649Computer-Based Validation of 3n+1 Hypothesis for Numbers 3n−1Srdjan Kadic0Savo Tomovic1Faculty of Natural Science and Mathematics, University of Montenegro, Cetinjski put 2, 81000 Podgorica, MontenegroFaculty of Natural Science and Mathematics, University of Montenegro, Cetinjski put 2, 81000 Podgorica, MontenegroThe 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.https://hrcak.srce.hr/file/320395Collatz's problemtransformationtotal stopping timetrajectories3n−1 |
| spellingShingle | Srdjan Kadic Savo Tomovic Computer-Based Validation of 3n+1 Hypothesis for Numbers 3n−1 Tehnički Vjesnik Collatz's problem transformation total stopping time trajectories 3n−1 |
| title | Computer-Based Validation of 3n+1 Hypothesis for Numbers 3n−1 |
| title_full | Computer-Based Validation of 3n+1 Hypothesis for Numbers 3n−1 |
| title_fullStr | Computer-Based Validation of 3n+1 Hypothesis for Numbers 3n−1 |
| title_full_unstemmed | Computer-Based Validation of 3n+1 Hypothesis for Numbers 3n−1 |
| title_short | Computer-Based Validation of 3n+1 Hypothesis for Numbers 3n−1 |
| title_sort | computer based validation of 3n 1 hypothesis for numbers 3n 1 |
| topic | Collatz's problem transformation total stopping time trajectories 3n−1 |
| url | https://hrcak.srce.hr/file/320395 |
| work_keys_str_mv | AT srdjankadic computerbasedvalidationof3n1hypothesisfornumbers3n1 AT savotomovic computerbasedvalidationof3n1hypothesisfornumbers3n1 |