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Diophantine properties of the sequences of prime numbers. (English) Zbl 1441.11074
Summary: 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.
MSC:
11E20 General ternary and quaternary quadratic forms; forms of more than two variables
11A41 Primes
11E25 Sums of squares and representations by other particular quadratic forms
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References:
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