958
This number is a composite.
If you have two 24-hour digital clocks that display hours, minutes and seconds and set one to the correct time and the other two seconds faster, then in 24 hours 958 pairs of twin primes will be displayed starting with 00:00:03 and 00:00:05 and ending with 23:58:11 and 23:58:13. [Homewood]
(There are 3 curios for this number that have not yet been approved by an editor.)
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