Å®ÉúСÊÓƵ

Same four digits

I have written down three different five-digit perfect squares, which between them use four different digits. Each of the four digits is used a different number of times, and the four numbers of times are the same as the four different digits of the perfect squares; I’m not saying whether any of the digits is used its own number of times.

What are my three perfect squares?

WIN £15 will be awarded to the sender of the first correct answer opened on Wednesday 15 July. The Editor’s decision is final. Please send entries to Enigma 1549, New Å®ÉúСÊÓƵ, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

Answer to 1543 Pentagony: The perimeter of the pentagon is 99 cm

The winner James Diamond of London, UK