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On sequences of integers

Published online by Cambridge University Press:  26 February 2010

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

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References

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

† Ibid., 63 (1956), 125.