Hostname: page-component-8448b6f56d-c47g7 Total loading time: 0 Render date: 2024-04-23T08:05:06.228Z Has data issue: false hasContentIssue false
  • English
  • Français

On sequences of integers

Published online by Cambridge University Press:  26 February 2010

G. B. Trustrum
G. B. Trustrum
Affiliation:
Trinity Hall, Cambridge.
Get access

Extract

Dr. Erdös has proved the following:

THEOREM. Given any increasing sequence a1, a2, … of positive integers, it is possible to define another increasing sequence, every term of which is representable as ai+aj, and such that none of its terms is divisible by any other.

Type
Research Article
Information
Mathematika , Volume 5 , Issue 1 , June 1958 , pp. 38 - 39
Copyright
Copyright © University College London 1958

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

* American Math. Monthly, 57 (1950), 567.CrossRefGoogle Scholar

† Ibid., 63 (1956), 125.