Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.1 6/24/83; site faron.UUCP Path: utzoo!linus!faron!bs From: bs@faron.UUCP (Robert D. Silverman) Newsgroups: net.math Subject: Palindromic Primes Message-ID: <162@faron.UUCP> Date: Fri, 16-Nov-84 10:27:23 EST Article-I.D.: faron.162 Posted: Fri Nov 16 10:27:23 1984 Date-Received: Sat, 17-Nov-84 01:41:46 EST Organization: The MITRE Corp., Bedford, Ma. Lines: 9 The number of palindromic primes is infinite. This follows from the fact the the class of automorphic binary quadratic forms is also infinite. See for example Dickson, Theory of Numbers pp. 111-115, Dover Press . It is easy to see that the number of digits must be odd because a palindrome of 2N digits will be a multiple of 10**N + 1. That the number of digits does not have to be prime is also easy to see by the example 131111131, which has 9 digits, yet is prime.