# 547

This number is a prime.  Prime Numbers: A Computational Perspective by Crandall and Pomerance (2002) contained exactly 547 pages. In the Disney movie The Black Hole, the crew of the Palomino escape from the parallel-universe Cygnus on Day 547. The number of primes between 6! and 7! is itself prime. 547 is the smallest odd prime to enumerate the primes between n! and (n + 1)! for any n. [Post] f(547!) + 547^3 is a prime number, where f(n!) gives the first n digits of n!. 547 is the smallest integer with this characteristic, and it is prime. [Zonta] The largest known prime number n such that the initial n digits in decimal portion of π form a prime number. [Capelle] The sum of the first 547 squares (54705470) contains 547 twice. This is the second positive integer with this property, with 5 being the first. [Gaydos] There were 547 live broadcasts of "Watch Mr. Wizard" by the time the show was canceled in 1965. The largest prime concatenated from the only three single digits d for which d!+1 are perfect squares, i.e., 5!+1 = 11^2, 4!+1 = 5^2 and 7!+1 = 71^2. [Loungrides] The Hubble Space Telescope orbits about 547 kilometers above Earth. [Harrison] Benedict of Nursia (died A.D. 547) refers to Prime by using the term "primae tempore" ("the time of First Hour") for Prime. [Jessee]

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