Artin's conjecture on primitive roots

From Number
Revision as of 23:30, 19 April 2009 by Vipul (talk | contribs) (Created page with '==Statement== ===Infinitude version=== Suppose <math>a</math> is an integer that is not equal to <math>-1</math> and is not a perfect square, i.e., <math>a</math> is not th...')
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Statement

Infinitude version

Suppose a is an integer that is not equal to 1 and is not a perfect square, i.e., a is not the square of an integer. Then, there exist infinitely many primes p such that a is a primitive root modulo p.

Density version=