Therefore the angle p is small. 1 parsec is defined as the distance at which a star has a parallax of 1 arcsecond. 4.23 light years Parallax can only be computed for nearby stars. On average, a nearby star will have a large proper motion. Proper motion is the steady change in a star's apparent position on the sky, resulting from its motion through space.
Proper motion is measured in arcseconds per year.
On average, close stars have faster proper motions than distant stars. Look for stars with large proper motion.