  Let $X \subset \mathbb{P}^{n}$ be an unramified real curve with
$X(\mathbb{R}) \neq \emptyset$. If $n \geq 3$ is odd, Huisman conjectures that
$X$ is an $M$-curve and that every branch of $X(\mathbb{R})$ is a pseudo-line.
If $n \geq 4$ is even, he conjectures that $X$ is a rational normal curve or a
twisted form of a such. We disprove the first conjecture by giving a family of
counterexamples. We remark that the second conjecture follows for generic
curves of odd degree from the formula enumerating the number of complex
inflection points.
