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:

    “The best number for a dinner party is two—myself and a dam’ good head waiter.”
    —Nubar Gulbenkian (1896–1972)

    “The hysterical find too much significance in things. The depressed find too little.”
    —Mason Cooley (b. 1927)