
Welcome to the Nth Prime Page!
Nth prime
Here's how it works: Enter a value for n below,
from 1 to 10^{12}, inclusive. The server will return the
nth prime number (counting 2 as the first). Commas and
scientific notation (e.g. 1.0e12) are allowed. For example,
entering either 1,000,000,000,000 or 1.0e12 will tell you 'The
1,000,000,000,000th prime is 29,996,224,275,833. ' Depending
on the load of the server and the number you pick, your query may take up
to 10 seconds.
The 974,461st prime is 15,061,973.

Pi function
Enter a value for x below, from 1 to
3*10^{13}. The server will return pi(x), the number
of primes not exceeding x. For example, entering
29,996,224,275,833 will tell you 'There are 1,000,000,000,000 primes
less than or equal to 29,996,224,275,833. '
Random prime
Click below to get a "random" prime chosen from the
first 10^{12} primes:
Algorithm
For a description of the algorithm used, click
here. The text of this page, the programs, and all of the
necessary data sets were provided by Andrew Booker.
