On integers of the form

Author:
Yong-Gao Chen

Journal:
Proc. Amer. Math. Soc. **128** (2000), 1613-1616

MSC (2000):
Primary 11A07, 11B25

Published electronically:
November 23, 1999

MathSciNet review:
1695159

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Abstract: In this paper we prove that the set of positive odd integers which have no representation of the form , where , are distinct odd primes and are nonnegative integers, has positive lower asymptotic density in the set of all positive odd integers.

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Additional Information

**Yong-Gao Chen**

Affiliation:
Department of Mathematics, Nanjing Normal University, Nanjing 210097, People’s Republic of China

Email:
ygchen@pine.njnu.edu.cn

DOI:
http://dx.doi.org/10.1090/S0002-9939-99-05482-9

Received by editor(s):
July 20, 1998

Published electronically:
November 23, 1999

Additional Notes:
This research was supported by the Fok Ying Tung Education Foundation and the National Natural Science Foundation of China, Grant No 19701015

Communicated by:
David E. Rohrlich

Article copyright:
© Copyright 2000
American Mathematical Society