no. 2
The “Riemann hypothesis” for the Hawkins random Sieve
Compositio Mathematica, Tome 29 (1974) no. 2, pp. 197-200 
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     author = {Neudecker, Werner and Williams, David},
     title = {The {{\textquotedblleft}Riemann} hypothesis{\textquotedblright} for the {Hawkins} random {Sieve}},
     journal = {Compositio Mathematica},
     pages = {197--200},
     year = {1974},
     publisher = {Noordhoff International Publishing},
     volume = {29},
     number = {2},
     mrnumber = {399029},
     zbl = {0312.10033},
     language = {en},
     url = {https://www.numdam.org/item/CM_1974__29_2_197_0/}
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Neudecker, Werner; Williams, David. The “Riemann hypothesis” for the Hawkins random Sieve. Compositio Mathematica, Tome 29 (1974) no. 2, pp. 197-200. https://www.numdam.org/item/CM_1974__29_2_197_0/

[1] D. Hawkins: The random sieve. Math. Mag., 31 (1958) 1-3. | Zbl | MR

[2] D. Hawkins: Random Sieves II. J. Number Theory 6 No. 3 (1974) 192-200. | Zbl | MR

[3] A.E. Ingham: The distribution of prime numbers. Cambridge University Press, 1932. Reprinted by Stechert-Hafner Service Agency, Inc., New York and London, 1964. | MR | JFM

[4] M. Loève: Probability Theory, van Nostrand, Princeton, N.J., 1963. | Zbl | MR

[5] D. Williams: A study of a diffusion process motivated by the Sieve of Eratosthenes (to appear in Bull. London Math. Soc.). | Zbl | MR

[6] M.C. Wunderlich: The prime number theorem for random sequences (to appear in J. Number Theory). | Zbl | MR

[7] M.C. Wunderlich: A probabilistic setting for prime number theory (to appear in Acta Arithmetica 27, 1). | Zbl | MR