Enigma 1687: Predictive powers
29 February 2012
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From New Scientist #2854, 3rd March 2012 [link]
On my mobile phone the buttons can be used for more than one letter, and the machine predicts your intended word. So, for example, to text “STOP” I type the buttons shown below, but the machine could also interpret that as “SUMS”.
This desire for compact gadgetry has spread to calculators. The digits of mine are on just five buttons, A to E, as shown below. So when I type in a number the machine has to predict what I want. Recently I pushed buttons intending to display a three-figure prime number, but the machine displayed a different three-figure prime. Then I pushed some more buttons intending to display a three-figure square, but the machine displayed a different three-figure square. When typing these two numbers I had pushed each button at least once.
Which six buttons, listed in order, did I push?