2017/06/12 by Mario Ziller, Ziller, Mario, John F. Morack +1
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Analytic Number Theory Research #FOS: Mathematics #Fractal and DNA sequence analysis #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.1706.03668
openalex publication_date 2017/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Jacobsthal's function was recently generalised for the case of paired\nprogressions. It was proven that a specific bound of this function is\nsufficient for the truth of Goldbach's conjecture and of the prime pairs\nconjecture as well. We extended and adapted algorithms described for the\ncomputation of the common Jacobsthal function, and computed respective function\nvalues of the paired Jacobsthal function for primorial numbers for primes up to\n73. All these values fulfil the conjectured specific bound. In addition to this\nnote, we provide a detailed review of the algorithmic approaches and the\ncomplete computational results in ancillary files.\n