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Write and test a C implementation of the Mobius function M(n) defined as follows
M(n) = 1 if n = 1
= 0 if any prime factor is contained in N more than once
= (-1)p if n is the product of p different prime factors
Examples
M(78) = -1 78 = 2 * 3 * 13
M(34) = 1 34 = 2 * 17
M(45) = 0 45 = 3 * 3 * 5
The first values of M(n) are shown in this table n 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
M(n) 1 -1 -1 0 -1 1 -1 0 0 1 -1 0 -1 1 1 0 -1 0 -1 0
Extra credit: Using random numbers, estimate the probabilities that M(n) returns -1, 0, +1
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