It all depends on context - speed, tone, and what comes before and after.

If all I had to play was C-C-C, I'd use 1-5-3

(Yes, 1-5-3, sorta like Harpo Marx.)

There are a number of ways this could be done. Say
you want to play middle C and then the next two higher
C's as rapidly as possible in succession.

One way might be to use finger 1 on middle C, 5 on
the second, then quickly replace 5 with 1 and play the
third with 5. This is secure, because you have the
octave span of your hand to judge the distance, but
substituting the fingers takes time.

Another way might be to use 1 on middle C, 5 on the
second, and then hop wholesale with the hand and
play the third with, say, 4. Judging the hop by
feel. The fact that the third C is to the left of
a black key can help, because you can use
that black key as a sort of "backstop" that when
you hit it you know where the third C is. This
is fast, but less secure, but with practice you
can hit it every time.

Or you might use 1 1 1, or 1 5 5, judging the distance
by feel. And so forth.

Blind pianists do this kind of playing with no problem.

Kreisler - Why would you play 1-5-3? Is that to get you into position for what comes after? It feels very good for me to do that. I'm just very curious, because I'm starting to do jumps...

When I read this topic, I thought it was going to discuss assault pianos!