Teaser 2452: [Cubic time]
From The Sunday Times, 20th September 2009 [link]
The time and date 19:36, 24/08/57, uses all 10 digits. Furthermore, the product of the five constituent numbers is a perfect square (namely the square of 2736).
19 × 36 × 24 × 08 × 57 = 7485696 = 2736²
There are many times and dates that have this property. However, there is only one time and date that uses all 10 digits, and where the product of the five constituent numbers is a perfect cube.
What is that time and date?
This puzzle was originally published with no title.
[teaser2452]
S2T2 
Jim Randell 7:30 am on 13 March 2026 Permalink |
The following run file executes in 105ms. (Internal runtime of the generated code is 22ms).
Solution: The time/date is: 13:54, 26/09/78.
i.e. 1:54pm on 26th September 1978.
And:
The code doesn’t check that a valid date is produced, but it easy to see that the only candidate does correspond to a valid date.
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