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2004 Iran MO (3rd Round)
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2004 Iran MO (3rd Round)
Problems
(1)
Primitive roots
Source: Iranian National Olympiad (3rd Round) 2004
1/9/2009
Let p\equal{}4k\plus{}1 be a prime. Prove that
p
p
p
has at least \frac{\phi(p\minus{}1)}2 primitive roots.
group theory
number theory proposed
number theory