7

This number is a prime.

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The remainder is 7 when sum of the first 7 primes is divided by the 7th prime. Is this the only odd prime example? [Bergot]

The sum of all n^k with n + k = 7, i.e., 1^6 + 2^5 + 3^4 + 4^3 + 5^2 + 6^1 + 7^0, = 7#. [Bergot]

Is 7 the only prime area for an n-gon plotted (n, prime(n))? Start (1,2), (2,3), ... ,(8,19) and connect (1,2) to (8,19). [Bergot]