09. PEN B6 Suppose that does not have a primitive root. Show that
for every relatively prime to .
Here is the official solution file: pen09.
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Archive for April, 2008
09S Primitive Roots: Revisited
Posted in PEN Solutions Archive on April 30, 2008 | Leave a Comment »
09. Primitive Roots: Revisited
Posted in Problem of the Bi-Week on April 23, 2008 | Leave a Comment »
09. PEN B6 Suppose that does not have a primitive root. Show that
for every relatively prime to .
08S An arithmetic partition
Posted in PEN Solutions Archive on April 17, 2008 | Leave a Comment »
08. PEN O 35 ( Romania TST 1998 )
Let be a prime number and be integers.
Prove that is an arithmetic progression if and only if there exists a partition of into sets such that
where denotes the set .
Here is the official solution file: PEN08S
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