Online Course Discussion Forum

MCIII Number Theory 4.9 and 4.10

 
 
Picture of Tina Jin
MCIII Number Theory 4.9 and 4.10
by Tina Jin - Sunday, 31 December 2023, 6:16 PM
 

Hello,


Happy New Year! 

For 4.9 can I please get a hint to get started on the problem? I am very stuck on it

For 4.10, can you just give me a hint on how to do part a? I will know how to do parts b and c after I know how to do part a.


Thank you!

Tina Jin

 
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Re: MCIII Number Theory 4.9 and 4.10
by Dr. Kevin Wang - Monday, 8 January 2024, 12:33 AM
 

4.9: Use the formula for $\phi(n)$ function.

4.10: Just try the small numbers for $k$.  If you realize that most of the $\phi(n)$ values are even numbers ...