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Download PDFOpen PDF in browserOn the Lattice of 2^n -1 in the Collatz ConjectureEasyChair Preprint no. 5322, version 49 pages•Date: January 9, 2022AbstractThe elements of 2^n − 1 when arranged in ascending order of n, n ∈ N form a fine lattice with respect to some diagonal. The focus of this paper is on the leading diagonal in the pursuit of reducing the calculational complexity. One such short cut will focus on the summands of the powers of 3. The finding is the sum exhibits a Collatz like behavior. Armed with that we can reduce the amount of cycles considerably. Keyphrases: 3k + 1, chaos theory, Collatz Conjecture Download PDFOpen PDF in browser |
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