trt (07/23/82)
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?