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 prime numbers, 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 observed that the frequency of prime numbers is very closely related to the behavior of an elaborate function z(s) called the Riemann Zeta function. The Riemann hypothesis asserts that all interesting solutions of the equation
z(s) = 0
lie on a 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.
z(s) = 0
lie on a 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.
oryan:
ok, apparently you have have entered into an area of the universe I dont understand a damn bit. sorry i have been sick for a few but that doesnt mean I dont want to see you it's just i havent been well. stop with the math stuff it confuses and upsets me...im pouting now.
seanbaby:
If by "shed light on many of the mysteries surrounding the distribution of prime numbers" you mean "making a pretty line of nontrivial zeros unuseable by all but a handful of Earth's mathematicians," then yeah, I agree.