I use prime lenses for two reasons: flexibility and performance. I know flexibility is associated to zooms, but while zooms offer flexibility around the choice of focal length, prime lenses offer flexibility around choice of aperture. And when it comes to performance, few zooms can match a high quality prime lens in terms of sharpness and rendering of out of focus areas.
Prime lenses have one more advantage - they get you to think in terms of focal lengths and you get the experience of which focal length might work better for a scene. Users of a zoom will usually be too lazy to move around and try a different perspective with a different focal length - instead of using a zoom as a collection of focal lengths, they will use it as a way to avoid moving around. That will make them waste the principal advantage of a zoom lens.
I described
here how I used a prime lens exclusively - you can find an entire set taken with one prime lens. A normal lens works best as a generic lens. I used the FA 31 with Pentax cameras and now I use the Nokton 25mm with Olympus. For one day trips, if I know what I am trying to do, I'll pick the focal length most suited for the task. For example, for the past weekends, I've been photographing cars - a 35mm equivalent is what I am using and it feels perfect in terms of working distance. Sometimes, I wish for a longer or wider lens, but overall, I prefer the flexibility I get from a prime lens to that offered by a zoom lens.
Here are some samples from the set linked above:
Zoom by crop is possible if the lens is sharp:
Zoom by feet works too - I went down to the rock ledge pictured above:
Can do portraiture:
Close up:
Landscape:
Low light:
One more close-up:
It is only when a certain perspective is vital for the composition that you *need* a focal length. You might also need a focal length when the perspective does not matter and could not be changed anyway. These are very valid reasons, but they are not critical for my photography, so I am happier with a prime lens. Everyone needs to evaluate their needs and then pick the equipment that best solves those needs.