Avor: frankin 5.

A natural number $\$ \mathrm{k} \$$ is called interesting if the product of the first $\$ \mathrm{k} \$$ prime numbers is divisible by $\$ \mathrm{k} \$$ (for example, the product of the first two prime numbers is $2 \cdot 3=6$, and 2 is an interesting number).

What is the maximum number of interesting numbers that can occur consecutively?
Evaluation. Obviously, a number that is a multiple of 4 is not interesting.

Examples. $1,2,3 ; 5,6,7$.

## Answer

3 numbers.