On the calculation of integer sequences, associated with twin primes

Igoris Belovas; Martynas Sabaliauskas; Paulius Mykolaitis

doi:10.15388/LMR.2023.33586

Articles

Igoris Belovas

Vilnius University

Martynas Sabaliauskas

Vilnius University

Paulius Mykolaitis

Vilnius University

Published 2023-11-20

https://doi.org/10.15388/LMR.2023.33586

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Keywords

integer sequences
Hardy-Littlewood conjecture
prime k-tuples

How to Cite

Belovas, I., Sabaliauskas, M. and Mykolaitis, P. (2023) “On the calculation of integer sequences, associated with twin primes”, Lietuvos matematikos rinkinys, 64(B), pp. 23–29. doi:10.15388/LMR.2023.33586.

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Abstract

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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