Over on the polymath blog, I’ve posted (on behalf of Dinesh Thakur) a new polymath proposal, which is to explain some numerically observed identities involving the irreducible polynomials in the polynomial ring over the finite field of characteristic two, the simplest of which is

(expanded in terms of Taylor series in ). Comments on the problem should be placed in the polymath blog post; if there is enough interest, we can start a formal polymath project on it.