The Phi Function
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THE PHI FUNCTION The investigation I chose to do is called The Phi Function. Phi Function means "Integers which are less than n and which have no other factor other than 1." My first task was to work out the value of the Phi Functions: ?(3), ?(8), ?(11) and ?(24). Next I have to make some of my own and find the values of them as well. My second task is to check that if these are correct: ?(7x4) = ?(7) x ?(4) and ?(6x4) = ?(6) x ?(4) then create some of my own and check that if they are equal to each other or not. PART 1 (1) ?(3) = 2 The factors of ?(3) are: 1 and 3. The integers, which are less than 3, are 1 and 2. The table below shows the integers, factors and whether it fits into the expression the number of positive integers less than n which...

