JP Journal of Algebra, Number Theory and Applications
Volume 12, Issue 1, Pages 121 - 127
(October 2008)
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EUCLIDEAN PRIMES HAVE THE MINIMUM NUMBER OF PRIMITIVE ROOTS
Michal Køížek (Czech Republic) and Lawrence Somer (Czech Republic)
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the
number of primitive roots modulo a prime p. We show that for an arbitrary
there
exists a prime p such
that
Moreover, for an arbitrary Euclidean prime p we
prove that
for
all primes
.