Quotients of primes in arithmetic progressions

Ace Micholson
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 18, 2012, Number 2, Pages 56–57
Full paper (PDF, 64 Kb)

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Authors and affiliations

Ace Micholson
Kalispell, Montana, USA

Abstract

We prove an open problem of Hobby and Silberger on quotients of primes in
arithmetic progressions.

• Arithmetic progression
• Prime number

AMS Classification

• 11A25
• 11A41

References

1. Hobby, D., D. M. Silbeger, Quotients of primes, Amer. Math. Monthly, Vol. 100, 1993, No. 1, 50–52.
2. Starni, P., Answers to two questions concerning quotients of primes, Amer. Math.
   Monthly, Vol. 102, 1995, No. 4, 347–349.