For what value $p$ is $l_p$ not a norm or a metric?

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Can someone please remind me for which values of $p \in [0, \infty)$ is the little $l_p$ norm or $l_p$ metric not a norm or a metric

I vaguely remember that $l_0$ norm is a not a norm. Could someone remind me of other ones?

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The $p$ "norm" fails to satisfy the triangle inequality for $p<1$.