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Is it true that in any successive (natural) 2p_n $2p_n$ 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 $p_n$? Here, $p_n$ denotes the n-th $n$-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 2,3,5 etc2, 3, or 5.
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question in prime numbers

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.