On the calculation of integer sequences, associated with twin primes
The twin primes conjecture states that there are infinitely many twin primes. While studying this hypothesis, many important results were obtained, but the problem remains unsolved. In this work, the problem is studied from the side of experimental mathematics. Using the probabilistic Miller–Rabin...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2023-11-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/33586 |
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| author | Igoris Belovas Martynas Sabaliauskas Paulius Mykolaitis |
| author_facet | Igoris Belovas Martynas Sabaliauskas Paulius Mykolaitis |
| author_sort | Igoris Belovas |
| collection | DOAJ |
| description |
The twin primes conjecture states that there are infinitely many twin primes. While studying this hypothesis, many important results were obtained, but the problem remains unsolved. In this work, the problem is studied from the side of experimental mathematics. Using the probabilistic Miller–Rabin primality test and parallel computing technologies, the distribution of prime pairs in the intervals (2n; 2n+1] is studied experimentally.
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| format | Article |
| id | doaj-art-b01c37acc19d4c038a72f541031f396e |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2023-11-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-b01c37acc19d4c038a72f541031f396e2025-01-20T18:15:01ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2023-11-0164B10.15388/LMR.2023.33586On the calculation of integer sequences, associated with twin primesIgoris Belovas0Martynas Sabaliauskas1Paulius Mykolaitis2Vilnius UniversityVilnius UniversityVilnius University The twin primes conjecture states that there are infinitely many twin primes. While studying this hypothesis, many important results were obtained, but the problem remains unsolved. In this work, the problem is studied from the side of experimental mathematics. Using the probabilistic Miller–Rabin primality test and parallel computing technologies, the distribution of prime pairs in the intervals (2n; 2n+1] is studied experimentally. https://www.journals.vu.lt/LMR/article/view/33586integer sequencesHardy-Littlewood conjectureprime k-tuples |
| spellingShingle | Igoris Belovas Martynas Sabaliauskas Paulius Mykolaitis On the calculation of integer sequences, associated with twin primes Lietuvos Matematikos Rinkinys integer sequences Hardy-Littlewood conjecture prime k-tuples |
| title | On the calculation of integer sequences, associated with twin primes |
| title_full | On the calculation of integer sequences, associated with twin primes |
| title_fullStr | On the calculation of integer sequences, associated with twin primes |
| title_full_unstemmed | On the calculation of integer sequences, associated with twin primes |
| title_short | On the calculation of integer sequences, associated with twin primes |
| title_sort | on the calculation of integer sequences associated with twin primes |
| topic | integer sequences Hardy-Littlewood conjecture prime k-tuples |
| url | https://www.journals.vu.lt/LMR/article/view/33586 |
| work_keys_str_mv | AT igorisbelovas onthecalculationofintegersequencesassociatedwithtwinprimes AT martynassabaliauskas onthecalculationofintegersequencesassociatedwithtwinprimes AT pauliusmykolaitis onthecalculationofintegersequencesassociatedwithtwinprimes |