The following questions follows a definite pattern. Observe the same and fill in the blank with suitable answer.
13, 29, 61, 125, 253, ............, 1021
101, 103, 107, 109, ..........., 127, 131, 137
$$(0, 0, 1), \left(\frac{\pi}{6}, \frac{1}{2}, \frac{\sqrt{3}}{2}\right)\left(\frac{\pi}{3}, \frac{\sqrt{3}}{2}, \frac{1}{2}\right)\left(\frac{\pi}{2}, 1, 0\right), .............$$