Question 93
Let $p_{i}$ be the $i$th prime. Let
$$
f(x)=\sum_{i=1}^{50} p_{i} x^{i-1}=2+3 x+\cdots+229 x^{49}
$$
If $a$ is the unique positive real number with $f(a)=100$, estimate $A=\lfloor 100000 a\rfloor$. An estimate of $E$ will earn $\max (0,\lfloor 20-|A-E| / 250\rfloor)$ points.
$$
f(x)=\sum_{i=1}^{50} p_{i} x^{i-1}=2+3 x+\cdots+229 x^{49}
$$
If $a$ is the unique positive real number with $f(a)=100$, estimate $A=\lfloor 100000 a\rfloor$. An estimate of $E$ will earn $\max (0,\lfloor 20-|A-E| / 250\rfloor)$ points.