Riemann hypothesis

In mathematics, the Riemann hypothesis, proposed by Bernhard Riemann (1859), is a conjecture that the non-trivial zeros of the Riemann zeta function all have real part 1/2. The name is also used for some closely related analogues, such as the Riemann hypothesis for curves over finite fields.

The Riemann hypothesis implies results about the distribution of prime numbers. Along with suitable generalizations, some mathematicians consider it the most important unresolved problem in pure mathematics (Bombieri 2000). The Riemann hypothesis, along with the Goldbach conjecture, is part of Hilbert’s eighth problem in David Hilbert’s list of 23 unsolved problems; it is also one of the Clay Mathematics Institute Millennium Prize Problems.

The Riemann zeta function ζ(s) is a function whose argument s may be any complex number other than 1, and whose values are also complex. It has zeros at the negative even integers; that is, ζ(s) = 0 when s is one of −2, −4, −6, …. These are called its trivial zeros. However, the negative even integers are not the only values for which the zeta function is zero. The other ones are called non-trivial zeros. The Riemann hypothesis is concerned with the locations of these non-trivial zeros, and states that:

The real part of every non-trivial zero of the Riemann zeta function is 1/2.

Thus, if the hypothesis is correct, all the non-trivial zeros lie on the critical line consisting of the complex numbers
1/2 + i t, where t is a real number and i is the imaginary unit.



Alabama License Tag PreFix Codes

When I was a kid, I read everything I could get my hands on. Literally. I read ingredients on the back of labels, I read any advertisement or article I could in a newspaper, magazine, or flyer

When we went on vacation, I was always allowed to go to the Bookstore at Morningside and pick out 5-10 paperback books to take with me on the trip. Sometimes on the way back, I was allowed to go to a mall or store and pick up more to read on the way back.

Many times, my parents would receive little “trinkets” that they would give to my sister or me. These might include calendars, flyers, anything! 

One thing I did receive was a small credit card size calendar with all of the license plate prefixes on the back. Needless to say, I memorized this and to this day, I still see a car from Alabama, look at the tag and guess where that person is from.

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