The Least Prime in Certain Arithmetic Progressions

Authors: Sabia, Juan; Tesauri, Susana

Source: American Mathematical Monthly, Volume 116, Number 7, August-September 2009 , pp. 641-643(3)

Publisher: Mathematical Association of America

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Abstract:

In this note we give an upper bound for the least prime in certain arithmetic progressions. Although Linnik's theorem gives an asymptotically more precise bound, the proof here is completely elementary and is based on an observation already made by Legendre in 1830.

Document Type: Short communication

DOI: http://dx.doi.org/10.4169/193009709X458627

Publication date: 2009-08-01

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American Mathematical Monthly publishes articles, notes, and other features about mathematics and the profession. AMM readers span a broad spectrum of mathematical interests, and include professional mathematicians as well as students of mathematics at all collegiate levels.
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