Path: utzoo!utgpu!news-server.csri.toronto.edu!cs.utexas.edu!know!zaphod.mps.ohio-state.edu!julius.cs.uiuc.edu!apple!snorkelwacker!bloom-beacon!athena.mit.edu!nand From: nand@athena.mit.edu (Nand M Mulchandani) Newsgroups: comp.theory Subject: 3n + 1 problem Message-ID: <1990Sep21.212241.21613@athena.mit.edu> Date: 21 Sep 90 21:22:41 GMT Sender: daemon@athena.mit.edu (Mr Background) Reply-To: nand@athena.mit.edu (Nand M Mulchandani) Organization: Massachusetts Institute of Technology Lines: 32 Hi ! When I was taking my automata theory course at Cornell University, we discussed an undecidable problem which can be stated as the following : 'n' is a positive integer. if n is odd, make n = 3 * n + 1. if n is even, divide by 2. Question(s) : (maybe not exact) Does n always -> 0 ? If it does, in how many steps ? My question is : is the correct statement of the problem ? and : Has a solution been found ? Thanks in advance ! ------------------------------------------------------------------------------- Nand M. Mulchandani Department of Computer Science 630 Stewart Avenue Cornell University Ithaca, New York 14850 v2rx@vax5.cit.cornell.edu 607.273.0101 Sloan School of Management 49 Grove Street E52-504 Somerville, Massachusetts 02144 Massachusetts Institute of Technology 617.623.5550 nand@athena.mit.edu 617.253.0276 -------------------------------------------------------------------------------