Problem of Ito and McKean on the massiveness of the set of primes
Matematičeskie zametki, Tome 7 (1970) no. 2, pp. 211-215.

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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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     author = {I. A. Kogan},
     title = {Problem of {Ito} and {McKean} on the massiveness of the set of primes},
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I. A. Kogan. Problem of Ito and McKean on the massiveness of the set of primes. Matematičeskie zametki, Tome 7 (1970) no. 2, pp. 211-215. http://geodesic.mathdoc.fr/item/MZM_1970_7_2_a8/