Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.1 6/24/83; site rabbit.UUCP Path: utzoo!watmath!clyde!akgua!mcnc!unc!ulysses!allegra!alice!rabbit!ark From: ark@rabbit.UUCP (Andrew Koenig) Newsgroups: net.math Subject: Najunamar's theorems Message-ID: <2794@rabbit.UUCP> Date: Fri, 11-May-84 15:55:50 EDT Article-I.D.: rabbit.2794 Posted: Fri May 11 15:55:50 1984 Date-Received: Sun, 13-May-84 07:13:01 EDT Organization: AT&T Bell Laboratories, Murray Hill Lines: 9 In Hofstadter's "Goedel, Escher, Bach..." appears a (fictional) mathematician named Najunamar, who has proved three interesting theorems: 1. He has a map of India that he has colored with 1729 different colors. 2. Every even prime is the sum of two odd numbers. 3. a^n + b^n = c^n has no solutions when n=0.