Implications of a New Characterisation of the Distribution of Twin Primes

Mathematics – Number Theory

Scientific paper

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4 pages, 1 figure, LaTeX

Scientific paper

We bring to bear an empirical model of the distribution of twin primes and
produce two distinct results. The first is that we can make a quantitative
probabilistic prediction of the occurrence of gaps in the sequence of twins
within the primes. The second is that the ``high jumper'' i.e., the separation
with greatest likelihood (in terms of primes) is always expected to be zero.

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