Xref: utzoo sci.math:14564 comp.theory:1387 Path: utzoo!utgpu!news-server.csri.toronto.edu!bonnie.concordia.ca!thunder.mcrcim.mcgill.edu!snorkelwacker.mit.edu!paperboy!think.com!zaphod.mps.ohio-state.edu!wuarchive!cs.utexas.edu!rice!hsdndev!husc6!purdue!ccncsu!news From: news@ccncsu.ColoState.EDU (USENET News) Newsgroups: sci.math,comp.theory Subject: number theory teaser (the `3n+1' problem) Message-ID: <11980@ccncsu.ColoState.EDU> Date: 6 Jan 91 08:17:01 GMT Organization: Colorado State University, Ft. Collins 80523 Lines: 22 DEFINITION: n 2 m - 1 A convoluted number is in the form -------- where m is convoluted and 3 the quantity and variables are natural numbers. CLAIMS: 1. Every odd natural number is convoluted, 2. in only one way; 3. hence the `3n+1' algorithm terminates. From: ld231782@longs.LANCE.ColoState.Edu (Lawrence Detweiler) Path: longs.LANCE.ColoState.Edu!ld231782 ld231782@longs.LANCE.ColoState.EDU