D.D. Kosambi pp 193-196 | Cite as

The Sampling Distribution of Primes

  • D. D. Kosambi


This paper was communicated to the journal by H. S. Vandiver, number theorist and fellow of the US National Academy of Sciences.


Probability Theory Statistical Sample Poisson Distribution Initial Point Prime Factor 
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  1. 1.
    Prachar, K. in Primzahlverteilung (Berlin, 1957). (ch. 3).Google Scholar
  2. 2.
    Hardy, G.H. and E.M. Wright, in An Introduction to the Theory of Numbers (Oxford University Press, 1945), Theorem 430, 349–354.Google Scholar
  3. 3.
    Prachar, K. op. cit. (ch. 2, Theorem 4.4).Google Scholar
  4. 4.
    Ibid., Theorem 2.4.7.Google Scholar
  5. 5.
    Feller, W. An Introduction to Probability Theory and Its Applications (New York, 1950), vol. 1, p. 366. (et passim).Google Scholar
  6. 6.
    For general known results on gaps in the sequence of primes, see Prachar, op. cit., p. 154 ff.Google Scholar
  7. 7.
    Ricci, G. in “Sul pennello di quasi-asintoticità delle differenze di interi primi consecutivi,” Rend. Atti. Accad. Naz. Lincei, 8, 192–196 and 347–351 (1954-5).Google Scholar

Copyright information

© Springer (India) Pvt. Ltd. 2016

Authors and Affiliations

  • D. D. Kosambi
    • 1
  1. 1.P. O. Deccan GymkhanaPoonaIndia

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