Path: utzoo!utgpu!news-server.csri.toronto.edu!cs.utexas.edu!know!samsung!zaphod.mps.ohio-state.edu!swrinde!ucsd!ucbvax!bloom-beacon!mit-eddie!uw-beaver!ubc-cs!fornax!mahajan From: mahajan@fornax.UUCP (Sanjeev Mahajan) Newsgroups: comp.theory Subject: Re: 3n + 1 problem Message-ID: <1290@fornax.UUCP> Date: 21 Sep 90 23:37:41 GMT References: <1990Sep21.212241.21613@athena.mit.edu> Organization: School of Computing Science, SFU, Burnaby, B.C. Canada Lines: 20 In article <1990Sep21.212241.21613@athena.mit.edu>, nand@athena.mit.edu (Nand M Mulchandani) writes: > 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. > I fail to understand in what sense this problem is undecidable. Has it been proven that it cannot be decided under some standard axioms of number theory? Sanjeev