271

This number is a prime.

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The smallest prime p such that (p - 1) and (p + 1) are each divisible by a cube greater than one. [Beedassy]

The longest of the three edges (271, 106, 103) of the smallest perfect parallelepiped. Note that the latter's shortest edge is also prime and, taken together with the middle edge, forms an emirp (106103). [Beedassy]