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Here's a relevant stackexchange post https://math.stackexchange.com/questions/3490592/what-is-notable-about-the-composite-numbers-between-twin-primes https://ma

Here's a relevant stackexchange post https://math.stackexchange.com/questions/3490592/what-is-notable-about-the-composite-numbers-between-twin-primes https://math.stackexchange.com/questions/3490592/what-is-not... TLDR - given some very reasonable (and wildly unproven) heuristics about primes, a large composite number between twin prime is expected to have approximately 2.180950 times as many divisors as usual.

motohagiography 5y ago
Was going to ask whether this proportion of the number of divisors of these prime tweens, to the number of other divisors of other composites, might yield a known constant, or even converge on 2.718.. or a related function of it asymtotically as the n increased.