## The Proof From The Book

*February 12, 2012*

Abstruse Goose comic strip is simply awesome. Here is the Riemann Hypothesis, postulated in 1859, which is also one of the seven millennium prize problems:

Some numbers have the special property that they cannot be expressed as the product of two smaller numbers, e.g., 2, 3, 5, 7, etc. Such numbers are called

primenumbers, and they play an important role, both in pure mathematics and its applications. The distribution of such prime numbers among all natural numbers does not follow any regular pattern, however the German mathematician G.F.B. Riemann (1826 – 1866) observed that the frequency of prime numbers is very closely related to the behavior of an elaborate function

ζ(s) = 1 + 1/2^{s}+ 1/3^{s}+ 1/4^{s}+ …called the

Riemann Zeta function. The Riemann hypothesis asserts that allinterestingsolutions of the equationζ(s) = 0

lie on a certain vertical straight line. This has been checked for the first 1,500,000,000 solutions. A proof that it is true for every interesting solution would shed light on many of the mysteries surrounding the distribution of prime numbers. [Clay Mathematics Institute]

Filed under: Trivia

## Leave a Comment

XHTML:You can use these tags: <a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <s> <strike> <strong>TrackBack URL | RSS feed for comments on this post.