
Glossary: Prime Pages: Top 5000: 
GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) Euler studied the sum for integers s > 1 (clearly (1) is infinite). Euler discovered a formula relating (2k) to the Bernoulli numbers yielding results such as and . What has this got to do with the primes? The answer is in the following product taken over the primes p (also discovered by Euler): Euler wrote this as
See Also: RiemannZetaFunction Related pages (outside of this work)
Chris K. Caldwell © 19992019 (all rights reserved)
