Borisov L

The sage S. was told the sum of three natural numbers, while the sage P. was told their product.

- If I had known, - said S., - that your number is greater than mine, I would have immediately named the three numbers.
- My number is less than yours, - replied P., - and the numbers are ..., ... and ... .

What numbers did P. name?
The sum of the numbers is denoted by $S$, and the product - by $P$. If $S$ is 3, 4, or 5, then $PS$, which contradicts C's statement. Therefore, the only remaining option is $S=6$. In this case, $P$ can be 4, 6, or 8. However, P. said that his number is smaller. Therefore, P. named the numbers 1, 1, and 4 (after C's words, he understood that $S \neq 5$, and discarded the option $1,2,2$).