, The problem [IMO,1988: If a,b, q = (a^2+b^2)/(ab+1) are integers, then q is a perfect square] was submitted in 1988 by the FRG. Nobody of the six members of the Australian problem committee could solve it. Two of the members were Georges [sic] Szekeres and his wife, both famous problem solvers and problem creators. Since it was a number theoretic problem it was sent to the four most renowned Australian number theorists. They were asked to work on it for six hours. None of them could solve it in this time. The problem committee submitted it to the jury of the XXIX IMO marked with a double asterisk, which meant a superhard problem, possibly too hard to pose. After a long discussion, the jury finally had the courage to choose it as the last problem of the competition. Eleven students gave perfect solutions.