Modified Collatz conjecture or + I Conjecture for Neutrosophic Numbers

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Neutrosophic Sets and Systems 14:44-46 (2016)
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Abstract

In this paper, a modified form of Collatz conjecture for neutrosophic numbers n ∈ (Z U I) is defined. We see for any n ∈ (Z U I) the related sequence using the formula (3a + 1) + (3b + 1)I converges to any one of the 55 elements mentioned in this paper. Using the akin formula of Collatz conjecture viz. (3a- 1) + (3b -1)I the neutrosophic numbers converges to any one of the 55 elements mentioned with appropriate modifications. Thus, it is conjectured that every n ∈ (Z U I) has a finite sequence which converges to any one of the 55 elements.

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10.5281/zenodo.570883

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Florentin Smarandache
University of New Mexico

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