Regrettably there were three major typographical errors in this issue, which are corrected below.
In Vol 7 No 2 of Parabola, the following problem was set: A chess king is placed at the south-west corner of a chessboard.
Robert Kuhn of Sydney Grammar has sent in the following attempted proof of this famous undecided conjecture.
In Parabola, Vol. 7 No. 3, an example was given of the use of the computer to solve the problem of finding all integers less than some upper limit which can be represented as $KKK$ (written in base $J>K$) in two different ways.
This is a new section in Parabola in which we intend to introduce you to some new games (both old and new) which have a mathematical flavour.
- All the digits are different and odd
In Parabola Vol 7 No 1, Question 3 in the Senior Division of the 1970 Mathematics Competition states:
"Mathematical Puzzles and Diversions" and "More Mathematical Puzzles and Diversions" by Martin Gardner.
The "Four 4's" question last year provoked so much interest that we have decided to dig up a few more "research problems", i.e. questions which may have no final answer but where you can try to get as far as possible.
J171 Prove that for $n>2$, $(n!)^2 > n^n$.
J161 Find a whole number, N, satisfying the following conditions:
(a) N is the product of exactly four distinct prime numbers.