[roberto]

This is how I understand it:

For every 3 consecutive numbers, one of them is a multiple of 3. If a number has 2 prime neighbors there's 100% chance it's divisible by 3. Without prime neighbors, only 33%.

For 3 consecutive numbers there's a 75% chance one of them is a multiple of 4. The number with 2 prime neighbors has then a 75% chance of being divisible by 4. A number without prime neighbors has only 25%.

For 5, it's 60% vs 20%.

So on average we expect the numbers with prime neighbors to be more composite.