Skip to main content
Log in

The second goldbach conjecture revisited

  • Published:
BIT Numerical Mathematics Aims and scope Submit manuscript

Abstract

This paper gives further numerical results on the conjecture that every odd numbern can be written as 2p +q wherep andq are primes. Strange fluctuations in the least possible value ofq needed are noted, studied, and partially predicted using the Hardy-Littlewood conjecture. Finally values of the Hardy-Littlewood constantsC 2,C 3 ...C 49 are tabulated as they are of use in other numerical verifications but difficult to compute.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G. H. Hardy, J. E. Littlewood,Some problems of Partitio Numerorum; III: On the expression of a number as a sum of primes, Acta Mathematica 44 (1923), 1–70.

    Google Scholar 

  2. B. H. Mayoh,On the second Goldbach conjecture, BIT 6 (1966), 48–50.

    Article  Google Scholar 

  3. B. H. Mayoh,Remarks on the Hardy-Littlewood conjecture, to appear.

  4. H. E. Salzer,A simple method for summing certain slowly convergent series, J. Math. Phys. 33 (1954), 356–359.

    Google Scholar 

  5. Daniel Shanks,On the conjecture of Hardy & Littlewood concerning the number of primes of form n 2 +a, Mathematics of Computation v. 14 (1960), 321–332.

    Google Scholar 

  6. J. W. Wrench Jr.,Evaluation of Artin's constant and the twin-prime constant, Mathematics of Computation v. 15 (1961), 396–398.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mayoh, B.H. The second goldbach conjecture revisited. BIT 8, 128–133 (1968). https://doi.org/10.1007/BF01939334

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01939334

Keywords

Navigation