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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A stronger Bertrand’s postulate with an application to partitions
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by Robert E. Dressler PDF
Proc. Amer. Math. Soc. 33 (1972), 226-228 Request permission

Addendum: Proc. Amer. Math. Soc. 38 (1973), 667-667.

Abstract:

In this paper we give a stronger form of Bertrand’s postulate and use it to prove that every positive integer, except 1, 2, 4, 6, and 9, can be written as the sum of distinct odd primes.
References
  • L. M. Chawla and C. D. N. Yeung, On an additive arithmetic function and its related partition function, J. Nat. Sci. and Math. 12 (1972), 103–111. MR 332648
    • G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, 4th ed., Oxford Univ. Press, London, 1960.
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 33 (1972), 226-228
  • MSC: Primary 10A45
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0292746-6
  • MathSciNet review: 0292746