2025/02/08 by Tillman, Micah D.
#11A41 (Primary) #11A51 (Secondary) #11E95 (Secondary) #11N35 Sieves (Secondary) #11Y55 (Secondary) #28A80 (Primary) #68W32 (Secondary) #FOS: Mathematics #General Mathematics (math.GM)
paper · doi:10.48550/arxiv.2502.15743
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.