Zentralblatt MATH

Publications of (and about) Paul Erdös

Zbl.No:  061.06607
Autor:  Erdös, Pál
Title:  On the least primitive root of a prime p. (In English)
Source:  Bull. Am. Math. Soc. 51, 131-132 (1945).
Review:  Let g(p) denote the least positive primitive root for the prime p. Using an average of character sums, Hua proves that g(p) < 2m+1 p ½, where m is the number of prime divisors of p-1. Using Brun's method, Erdös proves that g(p) < p ½(log p)17, provided p is sufficiently large.
Reviewer:  P.T.Bateman
Classif.:  * 11N69 Distribution of integers in special residue classes
Index Words:  number theory

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