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arXiv · 2502.15743

How Prime Factors Form Fractals

Micah D. Tillman
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Abstract

We explore a new sieve that generates both primes and prime factorizations, without resorting to division. We demonstrate that the integer sequences generated by the sieve are the p-adic valuations of n, and that each is a fractal sequence. We then show that these sequences produce geometrical fractals like the Levy Dragon. We end by showing the connection between the odd part of n integer sequence and the Heighway Dragon.

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Micah D. Tillman. 2025-02-08. How Prime Factors Form Fractals. https://arxiv.org/abs/2502.15743

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