Friday, August 3, 2012

566

566 = 2 x 283.

566 is the number of ways to place 24 points on a 12 x 12 grid so that no three points are on a line (A000769).

The sum of the fourth power of the prime factors of 566 is a prime (A134620): 24 + 2834 = 6414247937, a prime.

566 is the sum of five distinct pentatope numbers (A104395).

566 is the sum of the first 20 primes minus the next prime (A166448).


Source: What's Special About This Number?

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