is that true that in any successive (natural) 2p_n numbers there are at least three numbers that are not divisible by any prime less (not equal) than p_n?(with p_n we mean the n-th prime number) example in any six successive numbers there are at least 3 numbers that are not divisible by 2,in any 10 successive numbers there are 3 numbers that are not divisible by 2 or 3  , in any 14 successive numbers there are at least 3 that are not divisible by 2,3,5 etc.

Is it true that in any successive (natural) $2p_n$ numbers there are at least three numbers that are not divisible by any prime less (not equal) than $p_n$? Here, $p_n$ denotes the $n$-th prime number.

For example in any six successive numbers there are at least 3 numbers that are not divisible by 2,in any 10 successive numbers there are 3 numbers that are not divisible by 2 or 3, in any 14 successive numbers there are at least 3 that are not divisible by 2, 3, or 5.