For 40 and 41, use the definition of the Euler phi function
from Section 7.1, exercises 51-53.
Use the inclusion/exclusion principle to prove the following: If , where p and q are distinct prime numbers, then .
To prove the following by usinng the inclusion/exclusion principle: if , where are distinct prime numbers, then .
The inclusion/exclusion principle.
The inclusion/Exclusion Rule for Two or three sets.
If are any finite sets, then
If , where are district prime numbers.
By definition of Euler phi function , if is a prime number and is an integer with , then
Let be the set of all integers that are divisible by respectively
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