A NEW PROOF OF THE COLLATZ CONJECTURE
@inproceedings{Bruckman2010ANP,
title={A NEW PROOF OF THE COLLATZ CONJECTURE},
author={P. Bruckman},
year={2010}
}This paper is a revised version of a previous paper by the author that, after publication, was found to contain an error. This paper supersedes and replaces the previous paper. A modified form of the Collatz transformation is formulated, leading to the concept of a modified Collatz chain. A smallest counterexample N0 to the Collatz Conjecture is hypothesized ; the existence of N0 implies that N0 generates an infinite sequence {Nk}, each of whose elements is at least as large as N0 , as well as… CONTINUE READING
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