We define the function Mn to be 1 if n is 1 0 if p l n for a

We define the function M(n) to be 1 if n is 1, 0 if p l n for any prime p, and (-1) if n pip2 pk, where the ps are distinct primes

Solution

M(1)=1

M(2)=(-1)^1=-1

M(3)=-1

M(4)=0 because 2^2 |4

M(5)=-1

M(6)=(-1)^2 because k=2

M(7)=-1

M(8)=0 as 2^2 |8

M(9)=0

M(10)=-1

9.

Factors of 1184:

Sum=

Factors of 1210 are:

Their sum is: