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:
“I think, for the rest of my life, I shall refrain from looking up things. It is the most ravenous time-snatcher I know. You pull one book from the shelf, which carries a hint or a reference that sends you posthaste to another book, and that to successive others. It is incredible, the number of books you hopefully open and disappointedly close, only to take down another with the same result.”
—Carolyn Wells (18621942)
“For a parent, its hard to recognize the significance of your work when youre immersed in the mundane details. Few of us, as we run the bath water or spread the peanut butter on the bread, proclaim proudly, Im making my contribution to the future of the planet. But with the exception of global hunger, few jobs in the world of paychecks and promotions compare in significance to the job of parent.”
—Joyce Maynard (20th century)