Brian D. Sittinger

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 23, 2017, Number 1, Pages 99—100

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## Details

### Authors and affiliations

Brian D. Sittinger

*Department of Mathematics, California State University Channel Islands
1 University Drive, Camarillo, CA 93010, United States
*

### Abstract

We give an alternate proof to the density of quotients of primes in an arithmetic progression which has been established by Micholson [2] and Starni [4].

### Keywords

- Arithmetic progression
- Prime number

### AMS Classification

- 11A25
- 11A41

### References

- Hobby, D. & Silberger D. M. (1993). Quotients of primes, Amer. Math. Monthly, 100, 50–52.
- Micholson A. (2012). Quotients of primes in arithmetic progressions, Notes on Number Theory and Discrete Mathematics, 18(2), 56–57.
- Sierpiński, W. (1988). Elementary Theory of Numbers, 2nd Edition. North-Holland, Amsterdam.
- Starni P. (1995). Answers to two questions concerning quotients of primes, Amer. Math. Monthly, 102, 347–349.

## Related papers

- Sittinger, B. D. (2018). Quotients of primes in an algebraic number ring. Notes on Number Theory and Discrete Mathematics, 24(2), 55-62, doi: 10.7546/nntdm.2018.24.2.55-62.

## Cite this paper

APASittinger, B. D. (2017). A note on the density of quotients of primes in arithmetic progressions. Notes on Number Theory and Discrete Mathematics, 23(1), 99-100.

ChicagoSittinger, Brian D. “A Note on the Density of Quotients of Primes in Arithmetic Progressions,” Notes on Number Theory and Discrete Mathematics 23, no. 1 (2017): 99-100.

MLASittinger, Brian D. “A Note on the Density of Quotients of Primes in Arithmetic Progressions.” Notes on Number Theory and Discrete Mathematics 23.1 (2017): 99-100. Print.