@article{Kandasamy_K. Ilanthenral_Florentin Smarandache_2016, title={Modified Collatz conjecture or (3a + 1) + (3b + 1)I Conjecture for Neutrosophic Numbers âŒ©Z âˆª IâŒª }, volume={14}, url={https://fs.unm.edu/nss8/index.php/111/article/view/572}, abstractNote={Abstract: In this paper, a modified form of Collatz conjecture for neutrosophic numbers Ã¡Z Ãˆ IÃ± is defined. We see for any n ÃŽ Ã¡Z Ãˆ IÃ± 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 ÃŽ Ã¡Z Ãˆ IÃ± has a finite sequence which converges to any one of the 55 elements.}, journal={Neutrosophic Sets and Systems}, author={Kandasamy, W.B. Vasantha and K. Ilanthenral and Florentin Smarandache}, year={2016}, month={Dec.}, pages={44–46} }