Number Theoretic Significance
The logarithmic integral is important in number theory, appearing in estimates of the number of prime numbers less than a given value. For example, the prime number theorem states that:
where denotes the number of primes smaller than or equal to .
Read more about this topic: Logarithmic Integral Function
Famous quotes containing the words number and/or significance:
“This nightmare occupied some ten pages of manuscript and wound off with a sermon so destructive of all hope to non-Presbyterians that it took the first prize. This composition was considered to be the very finest effort of the evening.... It may be remarked, in passing, that the number of compositions in which the word “beauteous” was over-fondled, and human experience referred to as “life’s page,” was up to the usual average.”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)
“It is necessary not to be Christian to appreciate the beauty and significance of the life of Christ.”
—Henry David Thoreau (1817–1862)