De Polignac's Formula/Examples/2 in 1000

Example of Use of Multiplicity of Prime Factor in Factorial
The prime factor $2$ appears in $1000!$ to the power of $994$.

That is:
 * $2^{994} \mathrel \backslash 1000!$

but:
 * $2^{995} \nmid 1000!$

Proof
Let $\mu$ denote the power of $2$ which divides $1000!$