Prime Divisors of the Bernoulli and Euler Numbers

The Bernoulli numbers B_n may be defined by the generating function https://www.w3.org/1998/Math/MathML"> t e t − 1 = ∑ n = 0 ∞ B n t n n ! . https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780138747022/abb99e87-ffb7-4196-a4c4-acb0033e3d6a/content/eq3854.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/>