Powerful tombola
A national charity is organising a tombola. It has printed tickets numbered 1, 2, 3,… and participants can pay a pound and choose one of the numbers at random. Just one per cent of the tickets earn the participant a prize.
In fact, a ticket is a winning one precisely when its number is a perfect power. So examples of winning numbers are:
1
25 (a square)
64 (a cube)
243 (a fifth power)
etc.
How many tickets were printed?
WIN £15 will be awarded to the sender of the first correct answer opened on Thursday 2 January. The Editor’s decision is final. Please send entries to Enigma 1777, New Scientist, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).
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Answer to 1771 Squares either way: 7 July 2056, 6 May 2016, 8 Jan 2016
The winner Michael Wickins of Studley, Warwickshire, UK
