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.
Large Number, Strong Law of Small Numbers
Guy, R. K. "The Strong Law of Small Numbers." Amer. Math. Monthly 95, 697-712, 1988.
Eric W. Weisstein. "Small Number."
From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/SmallNumber.html
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