Hei, then you should told before. :evil: In number theory $\pi (n)$ means the number of primes that are less then or equal to $n$. My solution: Let $n=\Pi_{m \ge k\ge 1} p_k ^{q_k}$ Then, \[\pi (n)=\Pi_{m \ge k\ge 1} (q_k+1) \] \[ \pi (n^2)=\Pi_{m \ge k\ge 1} (2q_k+1) \] \[=\sum_{w=1}^{n}2^w.\sum_{p...
No,No.You made a mistake.
$10^{10^2}\neq (10^{10})^2 $
It means $10^{100} $.As far as I remember, it is an exercise of The Art and Craft of Problem Solving.
I've a problem.What's right?$AQ$ has to intersect line $BP$ or segment $BP$.If it's line, that will be a obvious result.If not, then it's not necessary for $AQ$ to intersect $BP$.
Well, no a. is very easy.Because if $a$ and $b$ are co-prime then $\omega (a)+\omega(b)=\omega (ab)$.So the result is obvious as $2^{\omega (a)}2^{\omega(b)}=2^{\omega (a)+\omega(b)}=2^{\omega (ab)}$.I'll try b now.