  We present two related conjectures, arising in work on i-matchings in random
r-regular bipartite graphs. The conjectures themselves are easily stated and
involve only basic properties of convergent power series. One formulation
involves Bell's polynomials. The conjectures name was chosen since we earnestly
believe only a truly genius mathematician will prove them. We advise others not
to try. A further belief is that the proof will arise from some deep properties
of partitions.
