A staircase is built using blocks such that the \(1^{st}\) step has \(1\) block, the \(2^{nd}\) has \(3\) blocks, the \(3^{rd}\) has \(5\) blocks, and so on. If the staircase has \(p\) steps and uses exactly 2809 blocks, find \(p\).
 
\(p =\)