TITLE: Stable homotopy groups of $RP^{\infty}$
QUESTION [12 upvotes]: Are the stable homotopy groups $\pi^s_i(\mathbb R P^{\infty})$ known for small $i$? In particular, I would be interested in the values for $i = 5,6$. A quick Internet search did not lead to anything.

REPLY [7 votes]: The middle column of table IV on page 82 of George W. Whitehead's "Recent Advances in homotopy theory" Regional Conference series in mathematics Number 5
lists the groups in dimensions up to 30 (including the 2 quoted by Matthias Wendt).