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# 547

*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.