One can look up in a table that for example $\pi_4^s = \pi_5^s = 0$. However, it seems to be that the stable homotopy groups of spheres get larger and larger for higher dimensions.
Question: is it known whether all stable stems are nonzero from some stage?
NOTE: a google search results in a paper that shows that the 2-primary part of $\pi_{61}^s$ is trivial, which might be helpful.