Logarithmic Integral Function - Number Theoretic Significance

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:

    “Again, the great number of cultivated men keep each other up to a high standard. The habit of meeting well-read and knowing men teaches the art of omission and selection.”
    —Ralph Waldo Emerson (1803–1882)

    “To grasp the full significance of life is the actor’s duty, to interpret it is his problem, and to express it his dedication.”
    —Marlon Brando (b. 1924)