Given a property , if as (so, using asymptotic notation, the number of numbers less than not satisfying the property is , where is one of the so-called Landau symbols), then is said to hold true for almost all numbers. For example, almost all positive integers are composite numbers (which is not in conflict with the second of Euclid's theorems that there are an infinite number of primes).

# Almost All

## See also

Almost Surely, Asymptotic Notation, For All, Landau Symbols, Normal Order## Explore with Wolfram|Alpha

## References

Hardy, G. H.*Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work, 3rd ed.*New York: Chelsea, p. 50, 1999.Hardy, G. H. and Wright, E. M.

*An Introduction to the Theory of Numbers, 5th ed.*Oxford, England: Clarendon Press, p. 8, 1979.

## Referenced on Wolfram|Alpha

Almost All## Cite this as:

Weisstein, Eric W. "Almost All." From
*MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/AlmostAll.html