Abstract
The solvability over the ring of integers $\mathbb Z$ of some Diophantine equations is connected with the property of integers to form sequences of prime numbers, in particular, with the property of numbers to be twins. The Diophantine description of the sequences of prime numbers is obtained using the deformation method of quadratic matrix equations.
Citation
Natalia Budarina. "Diophantine properties of the sequences of prime numbers." Funct. Approx. Comment. Math. 58 (2) 269 - 279, June 2018. https://doi.org/10.7169/facm/1707
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