Prime patterns in blocks of 8, 64, and 512 integers are encoded as bytes, and the paper gives empirical histograms and binomial-style estimates for their counts.
Maynard, Small gaps between primes, Annals of Mathematics, 181(1) (2015), 383-413
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Multi-scale representation of integer sets: application to prime numbers
Prime patterns in blocks of 8, 64, and 512 integers are encoded as bytes, and the paper gives empirical histograms and binomial-style estimates for their counts.