On the Least Prime in an Arithmetic Progression

Authors
Citation
Wei, Wang, On the Least Prime in an Arithmetic Progression, Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 7(3), 1991, pp. 279-288
ISSN journal
10009574
Volume
7
Issue
3
Year of publication
1991
Pages
279 - 288
Database
ACNP
SICI code
Abstract
Let q,k be positive integers. (q.k)=1, and P(k.q) be the smallest prime number satisfying p = k (mod q). In this paper, we prove that for q sufficiently large, one has P (k.q) << q. .