Solution
= Solution
Replace $F(m)$ by $m(m+1)(m+2)$. The only change is at the locally obstructing primes: every value is divisible by $2$, and every value is divisible by $3$, so omit both primes from $\mathcal P$. For every $p\geq5$, the three roots $0,-1,-2$ are distinct and again give $g(p)=3/p$ and $r_d=O(3^{\omega(d)})$. All <Selberg upper-bound sieve>, <Buchstab identity>, and large-prime-factor estimates from part e are unchanged, proving the analogous result.