Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.2 9/18/84 exptools; site ihnet.UUCP Path: utzoo!watmath!clyde!burl!ulysses!mhuxr!mhuxt!houxm!ihnp4!ihnet!eklhad From: eklhad@ihnet.UUCP (K. A. Dahlke) Newsgroups: net.math Subject: Another Prime Number Question With No Practical Application Message-ID: <226@ihnet.UUCP> Date: Tue, 7-May-85 09:33:31 EDT Article-I.D.: ihnet.226 Posted: Tue May 7 09:33:31 1985 Date-Received: Wed, 8-May-85 04:50:41 EDT Distribution: net Organization: AT&T Bell Laboratories Lines: 14 < and other diversionary tactics > How many primes, when written in base 10, also produce prime sub-numbers (looking at the first n digits)? For example: 7193 is in the set, since 7, 71, 719, and 7193 are all prime. The list begins: 3, 5, 7, 31, 37, 53, 59, 71, 73, 79, 311, 313, 317, 373, 379, 593, 599, ... Is the list infinite? If so, can anyone prove it. If not, and I conjecture not, what is the largest such number? Anyone with some time (personal and computer) can enjoy this one. -- Karl Dahlke ihnp4!ihnet!eklhad