TY - JOUR
AU - Kandasamy, W.B. Vasantha
AU - K. Ilanthenral,
AU - Florentin Smarandache,
TI - Modified Collatz conjecture or (3a + 1) + (3b + 1)I Conjecture for Neutrosophic Numbers âŒ©Z âˆª IâŒª
PY - 2016/12/15
Y2 - 2024/11/09
JF - Neutrosophic Sets and Systems
JA - Neutrosophic Sets Syst.
VL - 14
SE - SI#1,2024: Neutrosophical Advancements And Their Impact on Research
UR - https://fs.unm.edu/nss8/index.php/111/article/view/572
SP - 44-46
AB - 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.
ER -