83

This number is a prime.

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Total number of vertices in all finite 6-dimensional regular polytopes (7 in the 6-simplex, 64 in the 6-hypercube, 12 in the 6-hyperoctahedron). [Post]

The smallest prime exponent in the size of the free cartesian closed category over 3 objects. 3^83 is thus an upper bound on the number of left-associated formulas in Michael O'Connor's "An Interesting Puzzle in Propositional Logic." [Post]

(There are 2 curios for this number that have not yet been approved by an editor.)