Dhaka Higher Secondary 2010/1 (Secondary 2010/8)
Posted: Tue Jan 18, 2011 1:43 pm
Assume, $\Phi : A \to A, A=\{0,1,2,\cdots \}$ is a function, which is defined as,
\[\Phi(x) = \begin{cases}
0 \quad \text{if } x \text{ is a prime}\\
\Phi(x - 1) \quad \text{if } x \text{ is not a prime} \end{cases} \]
Find \[ \sum_{x=2}^{2010} \Phi(x)\]
(Corrected)
\[\Phi(x) = \begin{cases}
0 \quad \text{if } x \text{ is a prime}\\
\Phi(x - 1) \quad \text{if } x \text{ is not a prime} \end{cases} \]
Find \[ \sum_{x=2}^{2010} \Phi(x)\]
(Corrected)