  We propose formulas for the $1/N$ correction to the sphere free energy of
theories with 4-fermion interactions, which are conformal for $d>2$. We also
propose a formula for the scalar $O(N)$ model. Expanding these formulas in
small $\epsilon$ near various integer dimensions we find a perfect agreement
with results obtained using $\epsilon$-expansion technique. In $d=3$, the large
$N$ results with the $1/N$ correction included are in good agreement with the
Pade resummed $\epsilon$-expansion.
