On integer sequences associated with admissible prime k-tuples

Igoris Belovas, Martynas Sabaliauskas

Abstract


It is conjectured that every admissible k-tuple matches infinitely many positions in the sequence of prime numbers. The investigations of this hypothesis have led to many important results; however, the problem remains unsolved. In this work, the problem is studied from the experimental mathematics side. Integer sequences associated with the distribution of admissible prime k-tuples in the intervals (s^n; s^{n+1}] are studied experimentally, using the probabilistic Miller-Rabin primality test and parallel computing technologies. The obtained result gives us one more argument in favor of the infinitude of admissible prime k-tuples conjecture.

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References


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DOI: https://doi.org/10.52846/ami.v52i1.1988