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# First strong law of small numbers

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*There aren't enough small numbers to meet the many demands made of them.*

— Richard K. Guy

The **first strong law of small numbers** is known as the strong law of small numbers.

This law is a warning against drawing conclusions based on the observation of a few small numbers. For example, a quarter of the first hundred positive integers are prime numbers, whereas the formula suggests only 21 or 22 are primes; of the first ten million, 664579 are prime but the formula suggests only 620420 or 620421 are prime: even some of the greatest minds of the 19^{th} century were misled away from the prime number theorem as they tried various adjustments to the formula, unaware that for large enough numbers, the adjustment is unnecessary.

## See also

## External links

- Richard K. Guy, The Strong Law of Small Numbers.
- Richard K. Guy, The Second Strong Law of Small Numbers.