Small Number

Guy's "strong law of small numbers" states that there aren't enough small numbers to meet the many demands made of them. Guy (1988) also gives several interesting and misleading facts about small numbers:

1. 10% of the first 100 numbers are square numbers.

2. A quarter of the numbers  are primes.

3. All numbers less than 10, except for 6, are prime powers.

4. Half the numbers less than 10 are Fibonacci numbers.

REFERENCES:

Guy, R. K. "The Strong Law of Small Numbers." Amer. Math. Monthly 95, 697-712, 1988.

Friedmann, E. "What's Special About This Number?" https://www.stetson.edu/~efriedma/numbers.html.

Le Lionnais, F. Les nombres remarquables. Paris: Hermann, 1983.

Wells, D. The Penguin Dictionary of Curious and Interesting Numbers. Middlesex, England: Penguin Books, 1986.