773

This number is a prime.

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This prime is the sum of the number of 3-dimensional faces in one each of the 6 regular 4-dimensional polytopes: 5 + 8 + 16 + 24 + 120 + 600 = 773. (Equivalently, this prime is the sum of the number of vertices, i.e., 0-dimensional faces, in one each of the 6 regular 4-dimensional polytopes.) [Post]