Abstract: New method of generating prime numbers through quantization of discrete geometrical space is proposed. It is shown that quantization of the geometrical space results in stratification of the space into subspaces in such a way that to each subspace a distinct indivisible line is associated. The peculiarity of the method is that the indivisible lines, newly defined, are derived based on prime numbers. The paper introduces also a recurrence relation providing the
combinatorial mechanism of generating primes in the discrete geometrical space, which makes it possible to estimate the efficiency of the proposed method versus the existing probabilistic algorithms.
Keywords: Arithmetic graph, discrete geometry, indivisible lines, prime numbers.
How to cite this article:
Yury Grigoryan, Yeghisabet Alaverdyan, Recursive generation of prime numbers in the space of discrete geometries, International Journal of Advances in Mathematics, Volume 2018, Number 2, Pages 83-89, 2018.