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arXiv · 1308.3113

Pseudorandomness in 0's and 2's distribution in the iterated absolute differences of primes

Raffaele Salvia
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Abstract

Be d_{m,n} a generic element in the infinite matrix D, with d_{1, n} defined as the n-th prime number and, for any m>1, d_{m, n} = | d_{m-1, n} - d_{m-1, n+1} | When n>1, after the first few terms the columns in the matrix appear to be constituted entirely by 0s and 2s. Here is reported a computation over about 4.55x10^8 elements of D, which suggests a pseudo-random distribution of these two values.

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Raffaele Salvia. 2013-08-14. Pseudorandomness in 0's and 2's distribution in the iterated absolute differences of primes. https://arxiv.org/abs/1308.3113

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