Möbius Mu function

The Möbius mu function denoted $\mu (n)$ supported on the natural numbers and has implications in number theory. It has the value,

• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mu(1)=1}

• $\mu (n)=0$ if $n$ has a prime factor of power higher than 1

• $\mu (n)=-1$ if $n$ is prime or has an odd number of prime factors

• $\mu (n)=1$ if $n$ has an even number of prime factors

The first 10 values are

n	factors	$\mu (n)$
1	n/a	1
2	2	-1
3	3	-1
4	Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2^2}	0
5	5	-1
6	2,3	1
7	7	-1
8	Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2^{3}}	0
9	Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 3^{2}}	0
10	2,5	1