# Journal of the Ramanujan Mathematical Society

Volume 33, Issue 2, June 2018 pp. 135–147.

Admissible primes and Euclidean quadratic fields

**Authors**:
M. Ram Murty, Kotyada Srinivas and Muthukrishnan Subramani

**Author institution:**Department of Mathematics and Statistics, Jeffery Hall, Queen's University, Kingston, Ontario, K7L 3N6, Canada

**Summary: **
Let K be a real quadratic field with ring of integers
O K. We exhibit an infinite family of real quadratic
fields K, such that O K contains an
*admissible* set of primes with *two* elements. We then
study the implications of this construction to the determination
of Euclidean real quadratic fields and related questions.

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