
Glossary: Prime Pages: Top 5000: 
GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) The Bernoulli numbers come from the coefficients in the Taylor expansion of x/(e^{x}1). They can be defined recursively by setting B_{0}=1, and then using These numbers can also be defined using the Riemann zeta function as follows The Bernoulli numbers first appeared in the posthumous work "Ars Conjectandi" (1713) by Jakob Bernoulli. Euler used them to express the sums of equal powers of consecutive integers. They also are important in classical assaults of Fermat's Last Theorem.
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Chris K. Caldwell © 19992020 (all rights reserved)
