7

This number is a prime.

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The smallest prime of all integers n such that Mordell's equation y^2 = x^3 + n has no integral solutions. [Post]

The sum of seven consecutive primes beginning with 7 is seven times the seventh prime. [Post]

7 is the first centered hexagonal prime. [Post]

The smallest prime whose reciprocal has semiprime period length. [Post]

The smallest hyperfibonacci prime that is not a Fibonacci prime. [Post]

Although baseball's first World Series, in 1903, was an 8 game series, as was 1912, 1919, and 1921, it has ever since been a best-of-seven-game series. [Post]

Every connected (non-empty) one-dimensional topological manifold is homeomorphic to one of these 7: the circle, the closed interval, the open interval (real line), the half-open interval, the closed long ray, the open long ray, or the long line. [Post]

The Heawood graph corresponds to the 7-color torus map on fourteen nodes. Note that "Heawood" has 7 letters. [Post]