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Problem of ito and mckean on the massiveness of the set of primes

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Abstract

It is proved that the set of prime numbers on the coordinate axis is massive under a symmetric random walk through the three-dimensional integral lattice.

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Literature cited

  1. E. B. Dynkin and A. A. Yushkevich, Theorems and Problems in Markov Processes [in Russian], Moscow (1967).

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Translated from Matematicheskie Zametki, Vol. 7, No. 2, pp. 211–215, February, 1970.

The author expresses his sincere thanks to S. A. Molehanov, under whose direction this research was carried out.

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Kogan, I.A. Problem of ito and mckean on the massiveness of the set of primes. Mathematical Notes of the Academy of Sciences of the USSR 7, 127–129 (1970). https://doi.org/10.1007/BF01093495

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  • DOI: https://doi.org/10.1007/BF01093495

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