From: utzoo!decvax!duke!trt Newsgroups: net.math Title: Plato product problem Article-I.D.: duke.2347 Posted: Fri Jul 23 12:05:02 1982 Received: Mon Jul 26 00:19:10 1982 Plato (as I recall) noted that 7! == 7 * 8 * 9 * 10. That is, a descending product from 7 == an ascending product from 7. He wondered if there were other integers N such that 1 * 2 * ... * N == N * N+1 * ... * B for whatever B is needed. I wrote a program (sorry) which convinced me that 7 was the only such integer. I forget what the program did. Anyway. *Are* there other integers with this property?