That sounds like the computer had a bad solution to “find a Brandt.”
The comment with the request to find this reference had me thinking it would be a single phone number misconfigured to call a large population.
It was the luck of either Teela Brown, or Mr. Brandt depending on how you read the genetic trait of luck.
If you haven't read ringworld, you should. It's really quite good.
But stop before you get to ringworld's children or whatever it's called. Niven's furry fetish is in full force later in the series.
That doesn’t mean you shouldn’t read it, I have similar (though it no where near as bad IMHO) thoughts on The Wheel of Time portrayal of women though Ringworld is worse. I still love WoT but I do give a disclaimer when recommending it.